[Boost-commit] svn:boost r68792 - sandbox/local/libs/local/simpler_syntax

Subject: [Boost-commit] svn:boost r68792 - sandbox/local/libs/local/simpler_syntax
From: lorcaminiti_at_[hidden]
Date: 2011-02-11 17:38:16

Author: lcaminiti
Date: 2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
New Revision: 68792
URL: http://svn.boost.org/trac/boost/changeset/68792

Log:
Added more prototype code.
Added:
   sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.04.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.05.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.06.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_c99.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.00.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.01.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.02.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.03.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.04.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.05.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/factorial_nomacros.06.cpp   (contents, props changed)
   sandbox/local/libs/local/simpler_syntax/jamfile.jam   (contents, props changed)
Properties modified: 
   sandbox/local/libs/local/simpler_syntax/   (props changed)
Text files modified: 
   sandbox/local/libs/local/simpler_syntax/TODO.txt                           |     9 +++++++++                               
   sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.02.cpp |     9 +++++++--                               
   sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.03.cpp |    11 +++++++++++                             
   3 files changed, 27 insertions(+), 2 deletions(-)

Modified: sandbox/local/libs/local/simpler_syntax/TODO.txt
==============================================================================
--- sandbox/local/libs/local/simpler_syntax/TODO.txt	(original)
+++ sandbox/local/libs/local/simpler_syntax/TODO.txt	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -1,5 +1,14 @@
 
 
+* Rework a no-macro version of the factorial example.
+    >>  Ask boost about inline -- is it useful?
+    >>  Tell boost that split-macros can support recursion at the cost of
+        allowing `this` within the function body (so no error if used instead
+        of `this_`).
+
+
+* Rename function_ref to function (because it now has a default constructor so it's not a reference anymore).
+
 
 * Double check all local function syntax elements (from Grammar) -- auto, register, etc.
 

Modified: sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.02.cpp
==============================================================================
--- sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.02.cpp	(original)
+++ sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.02.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -1,6 +1,7 @@
 
 #include <boost/local/function.hpp>
 #include <boost/function_types/parameter_types.hpp>
+#include <boost/typeof/typeof.hpp>
 #include <boost/mpl/at.hpp>
 #include <iostream>
 
@@ -13,7 +14,7 @@
     typedef void (*boost_se_tag_0_add20)(int factor );
     typedef void (*boost_se_tag_1_add20)(int &sum );
     
-    typedef typeof__(
+    typedef BOOST_TYPEOF(
         boost::type_of::ensure_obj(
             boost::scope_exit::aux::wrap(
                 boost::scope_exit::aux::deref(
@@ -25,7 +26,7 @@
     ) boost_se_wrapped_t_0_add20; 
     typedef boost_se_wrapped_t_0_add20::type boost_se_capture_t_0_add20; 
 
-    typedef typeof__(
+    typedef BOOST_TYPEOF(
         boost::type_of::ensure_obj(
             boost::scope_exit::aux::wrap(
                 boost::scope_exit::aux::deref(
@@ -103,12 +104,16 @@
         sum += factor * num;
         std::clog << "Summed: " << sum << std::endl;
     }
+    
     // The END macro.
+
     }; 
     boost_local_auxXfunctorXadd boost_local_auxXobjectXadd( 
             boost_local_auxXargs.value); 
     boost_local_auxXaddXref add( boost_local_auxXobjectXadd);
 
+    // The rest of the code.
+
     add(100.0);
     return 0;
 }

Modified: sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.03.cpp
==============================================================================
--- sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.03.cpp	(original)
+++ sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.03.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -2,14 +2,25 @@
 #include <boost/local/function.hpp>
 #include <boost/function_types/parameter_types.hpp>
 #include <boost/mpl/at.hpp>
+#include <boost/function.hpp>
 #include <iostream>
 
 int main() {
     typedef void (func_type)(double num = -1.23);
+    typedef int x;
+    {
+        typedef int y;
+    }
+    {
+        typedef double y;
+    }
     
     typedef boost::function_types::parameter_types<func_type>::type param_types;
     typedef boost::mpl::at_c<param_types, 0>::type arg_type0;
 
+    boost::function<void ()> v;
+    v();
+
     return 0;
 }
 

Added: sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.04.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.04.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,125 @@
+
+#include <boost/local/function.hpp>
+#include <boost/function_types/parameter_types.hpp>
+#include <boost/typeof/typeof.hpp>
+#include <boost/mpl/at.hpp>
+#include <iostream>
+#include <algorithm>
+
+int main() {
+    double sum = 0.0;
+    int factor = 10;
+
+    // Determine bound parameter types via Boost.Typeof (from Boost.ScopeExit).
+    
+    typedef void (*boost_se_tag_0_id20)(int factor );
+    typedef void (*boost_se_tag_1_id20)(int &sum );
+    
+    typedef BOOST_TYPEOF(
+        boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(
+                boost::scope_exit::aux::deref(
+                      factor
+                    , (boost_se_tag_0_id20)0
+                )
+            )
+        )
+    ) boost_se_wrapped_t_0_id20; 
+    typedef boost_se_wrapped_t_0_id20::type boost_se_capture_t_0_id20; 
+
+    typedef BOOST_TYPEOF(
+        boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(
+                boost::scope_exit::aux::deref(
+                      &sum
+                    , (boost_se_tag_1_id20)0
+                )
+            )
+        )
+    ) boost_se_wrapped_t_1_id20;
+    typedef boost_se_wrapped_t_1_id20::type boost_se_capture_t_1_id20;
+    
+    struct boost_se_params_t_id20 { 
+        typedef boost_se_capture_t_0_id20 boost_se_param_t_0_id20; 
+        typedef boost_se_capture_t_1_id20 boost_se_param_t_1_id20; 
+        boost::scope_exit::aux::member<
+              boost_se_param_t_0_id20
+            , boost_se_tag_0_id20 
+        > boost_se_param_0_id20; 
+        boost::scope_exit::aux::member< 
+              boost_se_param_t_1_id20
+            , boost_se_tag_1_id20 
+        > boost_se_param_1_id20; 
+    } boost_local_auxXparams_id20 = { 
+          { boost::scope_exit::aux::deref(factor, (boost_se_tag_0_id20)0) } 
+        , { boost::scope_exit::aux::deref(&sum, (boost_se_tag_1_id20)0) } 
+    }; 
+    
+    boost::scope_exit::aux::declared< 
+        boost::scope_exit::aux::resolve< 
+            sizeof(boost_local_auxXargs) 
+        >::cmp1<0>::cmp2 
+    > boost_local_auxXargs;
+    boost_local_auxXargs.value = &boost_local_auxXparams_id20;
+    
+    // Determine unbound parameter types (handle attached param type-name-dflt).
+    //      F( (void) (f)(double num = -1.23, int x = 1) )
+    // or   F( void, f, (double num = -1.23, int x = 1) )
+#define RESULT_TYPE void
+#define ARG0        double num = -1.23
+    typedef RESULT_TYPE (function_type_id20)(ARG0);
+    typedef boost::function_types::parameter_types<function_type_id20>::type
+            param_types_id20;
+    typedef boost::mpl::at_c<param_types_id20, 0>::type arg_type0_id20;
+
+    // Local function.
+
+    struct boost_local_auxXfunctorXid20 : 
+            ::boost::local::aux::function_base< function_type_id20, 0> {
+        typedef ::boost::local::function_ref< function_type_id20, 0 >
+                function_ref_type;
+
+        explicit boost_local_auxXfunctorXid20(void* bind_params) : 
+                boost_local_auxXparams( (boost_se_params_t_id20*) bind_params)
+                {} 
+        // Generic param names because unseparated param type-name-dflt.
+        void operator()( arg_type0_id20 arg0 ) { 
+            return boost_local_auxXbody( 
+                  *this 
+                , boost_local_auxXparams-> boost_se_param_0_id20.value 
+                , boost_local_auxXparams-> boost_se_param_1_id20.value 
+                , arg0
+            ); 
+        } 
+    private: 
+        boost_se_params_t_id20* boost_local_auxXparams;
+        static void boost_local_auxXbody( 
+            // Use `self_` instead of function name for recursion...
+              boost_local_auxXfunctorXid20& self_
+            , ::boost::add_const< 
+                  boost_se_params_t_id20:: boost_se_param_t_0_id20 
+              >::type factor 
+            , boost_se_params_t_id20:: boost_se_param_t_1_id20 &sum 
+            , ARG0
+    ) { // The body.
+        sum += factor * num;
+        std::clog << "Summed: " << sum << std::endl;
+    }
+    
+    // The END macro.
+    
+    public:
+        function_ref_type* deduce_function_ref_type;
+
+    } boost_local_auxXobjectXadd(boost_local_auxXargs.value); 
+    BOOST_TYPEOF(*(boost_local_auxXobjectXadd.deduce_function_ref_type))
+            add(boost_local_auxXobjectXadd);
+
+    // The rest of the code.
+
+    add(100.0);
+    double a[3] = {1.1, 2.2, 3.3};
+    std::for_each(a, a + 3, add);
+    return 0;
+}
+

Added: sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.05.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.05.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,134 @@
+
+#include <boost/local/function.hpp>
+#include <boost/type_traits/function_traits.hpp>
+#include <boost/typeof/typeof.hpp>
+#include <boost/mpl/at.hpp>
+#include <iostream>
+#include <algorithm>
+
+int main() {
+    double sum = 0.0;
+    int factor = 10;
+
+    void // Result type (outside the macro).
+
+    // The PARAMS macro.
+
+    ERROR_missing_result_type_at_line_20 (int num) ;
+
+    // Determine bound parameter types via Boost.Typeof (from Boost.ScopeExit).
+    
+    typedef void (*boost_se_tag_0_id20)(int factor );
+    typedef void (*boost_se_tag_1_id20)(int &sum );
+    
+    typedef BOOST_TYPEOF(
+        boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(
+                boost::scope_exit::aux::deref(
+                      factor
+                    , (boost_se_tag_0_id20)0
+                )
+            )
+        )
+    ) boost_se_wrapped_t_0_id20; 
+    typedef boost_se_wrapped_t_0_id20::type boost_se_capture_t_0_id20; 
+
+    typedef BOOST_TYPEOF(
+        boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(
+                boost::scope_exit::aux::deref(
+                      &sum
+                    , (boost_se_tag_1_id20)0
+                )
+            )
+        )
+    ) boost_se_wrapped_t_1_id20;
+    typedef boost_se_wrapped_t_1_id20::type boost_se_capture_t_1_id20;
+    
+    struct boost_se_params_t_id20 { 
+        typedef boost_se_capture_t_0_id20 boost_se_param_t_0_id20; 
+        typedef boost_se_capture_t_1_id20 boost_se_param_t_1_id20; 
+        boost::scope_exit::aux::member<
+              boost_se_param_t_0_id20
+            , boost_se_tag_0_id20 
+        > boost_se_param_0_id20; 
+        boost::scope_exit::aux::member< 
+              boost_se_param_t_1_id20
+            , boost_se_tag_1_id20 
+        > boost_se_param_1_id20; 
+    } boost_local_auxXparams_id20 = { 
+          { boost::scope_exit::aux::deref(factor, (boost_se_tag_0_id20)0) } 
+        , { boost::scope_exit::aux::deref(&sum, (boost_se_tag_1_id20)0) } 
+    }; 
+    
+    boost::scope_exit::aux::declared< 
+        boost::scope_exit::aux::resolve< 
+            sizeof(boost_local_auxXargs) 
+        >::cmp1<0>::cmp2 
+    > boost_local_auxXargs;
+    boost_local_auxXargs.value = &boost_local_auxXparams_id20;
+    
+    // Determine unbound parameter types (handle attached param type-name-dflt).
+    //      F( (void) (f)(double num = -1.23, int x = 1) )
+    // or   F( void, f, (double num = -1.23, int x = 1) )
+//#define RESULT_TYPE void
+//#define ARG0        double num = -1.23
+//    typedef RESULT_TYPE (function_type_id20)(ARG0);
+//    typedef boost::function_types::parameter_types<function_type_id20>::type
+//            param_types_id20;
+//    typedef boost::mpl::at_c<param_types_id20, 0>::type arg_type0_id20;
+
+    typedef boost::function_traits<ERROR_missing_result_type_at_line_20>::
+            result_type result_type_id20;
+
+    // Local function.
+
+    struct boost_local_auxXfunctorXid20 : 
+            ::boost::local::aux::function_base< function_type_id20, 0> {
+        ::boost::local::function_ref< function_type_id20, 0 >*
+                deduce_function_ref_type;
+
+        // Generic param names because unseparated pp param type-name.
+        void operator()( arg_type0_id20 arg0 ) { 
+            return boost_local_auxXbody( 
+                  boost_local_auxXparams-> boost_se_param_0_id20.value 
+                , boost_local_auxXparams-> boost_se_param_1_id20.value 
+                , arg0
+            ); 
+        } 
+    private: 
+        boost_se_params_t_id20* boost_local_auxXparams;
+        // Ideally static so can't use `this` instead of `this_` but then can't
+        // access `add` member var for recursion...
+        /*static*/ void boost_local_auxXbody( 
+              ::boost::add_const< 
+                  boost_se_params_t_id20:: boost_se_param_t_0_id20 
+              >::type factor 
+            , boost_se_params_t_id20:: boost_se_param_t_1_id20 &sum 
+            , int num // Param type-name.
+    ) { // The body.
+        sum += factor * num;
+        std::clog << "Summed: " << sum << std::endl;
+        add(1); // Recursive call.
+    }
+    
+    // The END macro (the function name `add` available only here).
+    
+        boost_local_auxXfunctorXid20& add; // For recursive calls.
+    public:
+        explicit boost_local_auxXfunctorXid20(void* bind_params) :
+                  boost_local_auxXparams( (boost_se_params_t_id20*) bind_params)
+                , add(*this)
+                {} 
+    } boost_local_auxXobjectXadd(boost_local_auxXargs.value); 
+    BOOST_TYPEOF(*(boost_local_auxXobjectXadd.deduce_function_ref_type))
+            add(boost_local_auxXobjectXadd);
+
+    // The rest of the code.
+
+    add(100.0);
+    double a[3] = {1.1, 2.2, 3.3};
+    std::for_each(a, a + 3, add);
+    return 0;
+}
+

Added: sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.06.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/add_num_factor_sum_nomacros.06.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,128 @@
+
+#include <boost/local/function.hpp>
+#include <boost/type_traits/function_traits.hpp>
+#include <boost/typeof/typeof.hpp>
+#include <boost/mpl/at.hpp>
+#include <iostream>
+#include <algorithm>
+
+int main() {
+    double sum = 0.0;
+    int factor = 10;
+
+    void // Result type (outside the macro).
+
+    // The PARAMS macro.
+
+    ERROR_missing_result_type_at_line_20(int num);
+    typedef BOOST_TYPEOF(ERROR_missing_result_type_at_line_20)
+            function_type_id20;
+
+    // Determine bound parameter types via Boost.Typeof (from Boost.ScopeExit).
+    
+    typedef void (*boost_se_tag_0_id20)(int factor );
+    typedef void (*boost_se_tag_1_id20)(int &sum );
+    
+    typedef BOOST_TYPEOF(
+        boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(
+                boost::scope_exit::aux::deref(
+                      factor
+                    , (boost_se_tag_0_id20)0
+                )
+            )
+        )
+    ) boost_se_wrapped_t_0_id20; 
+    typedef boost_se_wrapped_t_0_id20::type boost_se_capture_t_0_id20; 
+
+    typedef BOOST_TYPEOF(
+        boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(
+                boost::scope_exit::aux::deref(
+                      &sum
+                    , (boost_se_tag_1_id20)0
+                )
+            )
+        )
+    ) boost_se_wrapped_t_1_id20;
+    typedef boost_se_wrapped_t_1_id20::type boost_se_capture_t_1_id20;
+    
+    struct boost_se_params_t_id20 { 
+        typedef boost_se_capture_t_0_id20 boost_se_param_t_0_id20; 
+        typedef boost_se_capture_t_1_id20 boost_se_param_t_1_id20; 
+        boost::scope_exit::aux::member<
+              boost_se_param_t_0_id20
+            , boost_se_tag_0_id20 
+        > boost_se_param_0_id20; 
+        boost::scope_exit::aux::member< 
+              boost_se_param_t_1_id20
+            , boost_se_tag_1_id20 
+        > boost_se_param_1_id20; 
+    } boost_local_auxXparams_id20 = { 
+          { boost::scope_exit::aux::deref(factor, (boost_se_tag_0_id20)0) } 
+        , { boost::scope_exit::aux::deref(&sum, (boost_se_tag_1_id20)0) } 
+    }; 
+    
+    boost::scope_exit::aux::declared< 
+        boost::scope_exit::aux::resolve< 
+            sizeof(boost_local_auxXargs) 
+        >::cmp1<0>::cmp2 
+    > boost_local_auxXargs;
+    boost_local_auxXargs.value = &boost_local_auxXparams_id20;
+    
+    typedef boost::function_traits<function_type_id20>::result_type
+            result_type_id20;
+    typedef boost::function_traits<function_type_id20>::arg1_type
+            arg_type0_id20;
+
+    // Local function.
+
+    struct boost_local_auxXfunctorXid20 : 
+            ::boost::local::aux::function_base< function_type_id20, 0> {
+        ::boost::local::function_ref< function_type_id20, 0 >*
+                deduce_function_ref_type;
+
+        // Generic param names because unseparated pp param type-name.
+        result_type_id20 operator()( arg_type0_id20 arg0 ) { 
+            return boost_local_auxXbody( 
+                  boost_local_auxXparams-> boost_se_param_0_id20.value 
+                , boost_local_auxXparams-> boost_se_param_1_id20.value 
+                , arg0
+            ); 
+        } 
+    private: 
+        boost_se_params_t_id20* boost_local_auxXparams;
+        // Ideally static so can't use `this` instead of `this_` but then can't
+        // access `add` member var for recursion...
+        /*static*/ result_type_id20 boost_local_auxXbody( 
+              ::boost::add_const< 
+                  boost_se_params_t_id20:: boost_se_param_t_0_id20 
+              >::type factor 
+            , boost_se_params_t_id20:: boost_se_param_t_1_id20 &sum 
+            , int num // Param type-name.
+    ) { // The body.
+        sum += factor * num;
+        std::clog << "Summed: " << sum << std::endl;
+        add(1); // Recursive call.
+    }
+    
+    // The END macro (the function name `add` available only here).
+    
+        boost_local_auxXfunctorXid20& add; // For recursive calls.
+    public:
+        explicit boost_local_auxXfunctorXid20(void* bind_params) :
+                  boost_local_auxXparams( (boost_se_params_t_id20*) bind_params)
+                , add(*this)
+                {} 
+    } boost_local_auxXobjectXadd(boost_local_auxXargs.value); 
+    BOOST_TYPEOF(*(boost_local_auxXobjectXadd.deduce_function_ref_type))
+            add(boost_local_auxXobjectXadd);
+
+    // The rest of the code.
+
+    add(100.0);
+    double a[3] = {1.1, 2.2, 3.3};
+    std::for_each(a, a + 3, add);
+    return 0;
+}
+

Added: sandbox/local/libs/local/simpler_syntax/factorial.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,40 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int BOOST_LOCAL_FUNCTION_PARAMS( (int n) (bool recursion)(default false)
+            (bind& output) ) {
+        int result = 0;
+
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true); // Recursive call.
+
+        if (!recursion) output << result << " ";
+        return result;
+    } BOOST_LOCAL_FUNCTION_NAME(factorial)
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_c99.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_c99.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,40 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int BOOST_LOCAL_FUNCTION_PARAMS(int n, bool recursion, default false,
+            bind& output) {
+        int result = 0;
+
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true); // Recursive call.
+
+        if (!recursion) output << result << " ";
+        return result;
+    } BOOST_LOCAL_FUNCTION_NAME(factorial)
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.00.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.00.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,22874 @@
+       
+namespace std {
+}
+typedef int ptrdiff_t;
+typedef unsigned int size_t;
+namespace std {
+  using ::ptrdiff_t;
+  using ::size_t;
+}
+       
+namespace std {
+  namespace rel_ops
+  {
+    template <class _Tp>
+      inline bool
+      operator!=(const _Tp& __x, const _Tp& __y)
+      { return !(__x == __y); }
+    template <class _Tp>
+      inline bool
+      operator>(const _Tp& __x, const _Tp& __y)
+      { return __y < __x; }
+    template <class _Tp>
+      inline bool
+      operator<=(const _Tp& __x, const _Tp& __y)
+      { return !(__y < __x); }
+    template <class _Tp>
+      inline bool
+      operator>=(const _Tp& __x, const _Tp& __y)
+      { return !(__x < __y); }
+  }
+}
+       
+namespace std {
+  template<typename _Tp>
+    inline void
+    swap(_Tp& __a, _Tp& __b)
+    {
+     
+      _Tp __tmp = (__a);
+      __a = (__b);
+      __b = (__tmp);
+    }
+}
+namespace std {
+  template<class _T1, class _T2>
+    struct pair
+    {
+      typedef _T1 first_type;
+      typedef _T2 second_type;
+      _T1 first;
+      _T2 second;
+      pair()
+      : first(), second() { }
+      pair(const _T1& __a, const _T2& __b)
+      : first(__a), second(__b) { }
+      template<class _U1, class _U2>
+        pair(const pair<_U1, _U2>& __p)
+ : first(__p.first),
+   second(__p.second) { }
+    };
+  template<class _T1, class _T2>
+    inline bool
+    operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
+    { return __x.first == __y.first && __x.second == __y.second; }
+  template<class _T1, class _T2>
+    inline bool
+    operator<(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
+    { return __x.first < __y.first
+      || (!(__y.first < __x.first) && __x.second < __y.second); }
+  template<class _T1, class _T2>
+    inline bool
+    operator!=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
+    { return !(__x == __y); }
+  template<class _T1, class _T2>
+    inline bool
+    operator>(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
+    { return __y < __x; }
+  template<class _T1, class _T2>
+    inline bool
+    operator<=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
+    { return !(__y < __x); }
+  template<class _T1, class _T2>
+    inline bool
+    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
+    { return !(__x < __y); }
+  template<class _T1, class _T2>
+    inline pair<_T1, _T2>
+    make_pair(_T1 __x, _T2 __y)
+    { return pair<_T1, _T2>(__x, __y); }
+}
+extern "C" {
+extern "C" {
+}
+extern "C" {
+}
+extern "C" {
+typedef signed char __int8_t ;
+typedef unsigned char __uint8_t ;
+typedef signed short __int16_t;
+typedef unsigned short __uint16_t;
+typedef __int16_t __int_least16_t;
+typedef __uint16_t __uint_least16_t;
+typedef signed int __int32_t;
+typedef unsigned int __uint32_t;
+typedef __int32_t __int_least32_t;
+typedef __uint32_t __uint_least32_t;
+typedef signed long long __int64_t;
+typedef unsigned long long __uint64_t;
+}
+typedef void *_LOCK_T;
+extern "C"
+{
+void __cygwin_lock_init(_LOCK_T *);
+void __cygwin_lock_init_recursive(_LOCK_T *);
+void __cygwin_lock_fini(_LOCK_T *);
+void __cygwin_lock_lock(_LOCK_T *);
+int __cygwin_lock_trylock(_LOCK_T *);
+void __cygwin_lock_unlock(_LOCK_T *);
+}
+typedef long _off_t;
+typedef short __dev_t;
+typedef unsigned short __uid_t;
+typedef unsigned short __gid_t;
+__extension__ typedef long long _off64_t;
+typedef long _fpos_t;
+typedef _off64_t _fpos64_t;
+typedef int _ssize_t;
+typedef unsigned int wint_t;
+typedef struct
+{
+  int __count;
+  union
+  {
+    wint_t __wch;
+    unsigned char __wchb[4];
+  } __value;
+} _mbstate_t;
+typedef _LOCK_T _flock_t;
+typedef void *_iconv_t;
+typedef long int __off_t;
+typedef int __pid_t;
+__extension__ typedef long long int __loff_t;
+typedef unsigned char u_char;
+typedef unsigned short u_short;
+typedef unsigned int u_int;
+typedef unsigned long u_long;
+typedef unsigned short ushort;
+typedef unsigned int uint;
+typedef unsigned long clock_t;
+typedef long time_t;
+struct timespec {
+  time_t tv_sec;
+  long tv_nsec;
+};
+struct itimerspec {
+  struct timespec it_interval;
+  struct timespec it_value;
+};
+typedef long daddr_t;
+typedef char * caddr_t;
+typedef int pid_t;
+typedef _ssize_t ssize_t;
+typedef unsigned short nlink_t;
+typedef long fd_mask;
+typedef struct _types_fd_set {
+ fd_mask fds_bits[(((64)+(((sizeof (fd_mask) * 8))-1))/((sizeof (fd_mask) * 8)))];
+} _types_fd_set;
+typedef unsigned long clockid_t;
+typedef unsigned long timer_t;
+typedef unsigned long useconds_t;
+typedef long suseconds_t;
+extern "C"
+{
+typedef signed char int8_t;
+typedef short int16_t;
+typedef int int32_t;
+typedef long long int64_t;
+typedef unsigned char uint8_t;
+typedef unsigned short uint16_t;
+typedef unsigned int uint32_t;
+typedef unsigned long long uint64_t;
+typedef signed char int_least8_t;
+typedef short int_least16_t;
+typedef int int_least32_t;
+typedef long long int_least64_t;
+typedef unsigned char uint_least8_t;
+typedef unsigned short uint_least16_t;
+typedef unsigned int uint_least32_t;
+typedef unsigned long long uint_least64_t;
+typedef signed char int_fast8_t;
+typedef int int_fast16_t;
+typedef int int_fast32_t;
+typedef long long int_fast64_t;
+typedef unsigned char uint_fast8_t;
+typedef unsigned int uint_fast16_t;
+typedef unsigned int uint_fast32_t;
+typedef unsigned long long uint_fast64_t;
+typedef int intptr_t;
+typedef unsigned int uintptr_t;
+typedef long long intmax_t;
+typedef unsigned long long uintmax_t;
+typedef struct timespec timespec_t;
+typedef struct timespec timestruc_t;
+typedef _off64_t off_t;
+typedef __loff_t loff_t;
+typedef short __dev16_t;
+typedef unsigned long __dev32_t;
+typedef __dev32_t dev_t;
+typedef long blksize_t;
+typedef long __blkcnt32_t;
+typedef long long __blkcnt64_t;
+typedef __blkcnt64_t blkcnt_t;
+typedef unsigned long fsblkcnt_t;
+typedef unsigned long fsfilcnt_t;
+typedef unsigned short __uid16_t;
+typedef unsigned long __uid32_t;
+typedef __uid32_t uid_t;
+typedef unsigned short __gid16_t;
+typedef unsigned long __gid32_t;
+typedef __gid32_t gid_t;
+typedef unsigned long __ino32_t;
+typedef unsigned long long __ino64_t;
+typedef __ino64_t ino_t;
+typedef unsigned long id_t;
+struct flock {
+ short l_type;
+ short l_whence;
+ off_t l_start;
+ off_t l_len;
+ pid_t l_pid;
+};
+typedef long long key_t;
+typedef unsigned long vm_offset_t;
+typedef unsigned long vm_size_t;
+typedef void *vm_object_t;
+typedef unsigned char u_int8_t;
+typedef __uint16_t u_int16_t;
+typedef __uint32_t u_int32_t;
+typedef __uint64_t u_int64_t;
+typedef __int32_t register_t;
+typedef char *addr_t;
+typedef unsigned mode_t;
+typedef struct __pthread_t {char __dummy;} *pthread_t;
+typedef struct __pthread_mutex_t {char __dummy;} *pthread_mutex_t;
+typedef struct __pthread_key_t {char __dummy;} *pthread_key_t;
+typedef struct __pthread_attr_t {char __dummy;} *pthread_attr_t;
+typedef struct __pthread_mutexattr_t {char __dummy;} *pthread_mutexattr_t;
+typedef struct __pthread_condattr_t {char __dummy;} *pthread_condattr_t;
+typedef struct __pthread_cond_t {char __dummy;} *pthread_cond_t;
+typedef struct
+{
+  pthread_mutex_t mutex;
+  int state;
+}
+pthread_once_t;
+typedef struct __pthread_rwlock_t {char __dummy;} *pthread_rwlock_t;
+typedef struct __pthread_rwlockattr_t {char __dummy;} *pthread_rwlockattr_t;
+}
+extern char **environ;
+void __attribute__((__cdecl__)) _exit (int __status ) __attribute__ ((noreturn));
+int __attribute__((__cdecl__)) access (const char *__path, int __amode );
+unsigned __attribute__((__cdecl__)) alarm (unsigned __secs );
+int __attribute__((__cdecl__)) chdir (const char *__path );
+int __attribute__((__cdecl__)) chmod (const char *__path, mode_t __mode );
+int __attribute__((__cdecl__)) chown (const char *__path, uid_t __owner, gid_t __group );
+int __attribute__((__cdecl__)) chroot (const char *__path );
+int __attribute__((__cdecl__)) close (int __fildes );
+size_t __attribute__((__cdecl__)) confstr (int __name, char *__buf, size_t __len);
+char * __attribute__((__cdecl__)) ctermid (char *__s );
+char * __attribute__((__cdecl__)) cuserid (char *__s );
+int __attribute__((__cdecl__)) daemon (int nochdir, int noclose);
+int __attribute__((__cdecl__)) dup (int __fildes );
+int __attribute__((__cdecl__)) dup2 (int __fildes, int __fildes2 );
+int __attribute__((__cdecl__)) dup3 (int __fildes, int __fildes2, int flags);
+int __attribute__((__cdecl__)) eaccess (const char *__path, int __mode);
+void __attribute__((__cdecl__)) endusershell (void);
+int __attribute__((__cdecl__)) euidaccess (const char *__path, int __mode);
+int __attribute__((__cdecl__)) execl (const char *__path, const char *, ... );
+int __attribute__((__cdecl__)) execle (const char *__path, const char *, ... );
+int __attribute__((__cdecl__)) execlp (const char *__file, const char *, ... );
+int __attribute__((__cdecl__)) execv (const char *__path, char * const __argv[] );
+int __attribute__((__cdecl__)) execve (const char *__path, char * const __argv[], char * const __envp[] );
+int __attribute__((__cdecl__)) execvp (const char *__file, char * const __argv[] );
+int __attribute__((__cdecl__)) execvpe (const char *__file, char * const __argv[], char * const __envp[] );
+int __attribute__((__cdecl__)) faccessat (int __dirfd, const char *__path, int __mode, int __flags);
+int __attribute__((__cdecl__)) fchdir (int __fildes);
+int __attribute__((__cdecl__)) fchmod (int __fildes, mode_t __mode );
+int __attribute__((__cdecl__)) fchown (int __fildes, uid_t __owner, gid_t __group );
+int __attribute__((__cdecl__)) fchownat (int __dirfd, const char *__path, uid_t __owner, gid_t __group, int __flags);
+int __attribute__((__cdecl__)) fexecve (int __fd, char * const __argv[], char * const __envp[] );
+pid_t __attribute__((__cdecl__)) fork (void );
+long __attribute__((__cdecl__)) fpathconf (int __fd, int __name );
+int __attribute__((__cdecl__)) fsync (int __fd);
+int __attribute__((__cdecl__)) fdatasync (int __fd);
+char * __attribute__((__cdecl__)) getcwd (char *__buf, size_t __size );
+int __attribute__((__cdecl__)) getdomainname (char *__name, size_t __len);
+gid_t __attribute__((__cdecl__)) getegid (void );
+uid_t __attribute__((__cdecl__)) geteuid (void );
+gid_t __attribute__((__cdecl__)) getgid (void );
+int __attribute__((__cdecl__)) getgroups (int __gidsetsize, gid_t __grouplist[] );
+long __attribute__((__cdecl__)) gethostid (void);
+char * __attribute__((__cdecl__)) getlogin (void );
+int __attribute__((__cdecl__)) getlogin_r (char *name, size_t namesize);
+char * __attribute__((__cdecl__)) getpass (const char *__prompt);
+int __attribute__((__cdecl__)) getpagesize (void);
+int __attribute__((__cdecl__)) getpeereid (int, uid_t *, gid_t *);
+pid_t __attribute__((__cdecl__)) getpgid (pid_t);
+pid_t __attribute__((__cdecl__)) getpgrp (void );
+pid_t __attribute__((__cdecl__)) getpid (void );
+pid_t __attribute__((__cdecl__)) getppid (void );
+pid_t __attribute__((__cdecl__)) getsid (pid_t);
+uid_t __attribute__((__cdecl__)) getuid (void );
+char * __attribute__((__cdecl__)) getusershell (void);
+char * __attribute__((__cdecl__)) getwd (char *__buf );
+int __attribute__((__cdecl__)) iruserok (unsigned long raddr, int superuser, const char *ruser, const char *luser);
+int __attribute__((__cdecl__)) isatty (int __fildes );
+int __attribute__((__cdecl__)) lchown (const char *__path, uid_t __owner, gid_t __group );
+int __attribute__((__cdecl__)) link (const char *__path1, const char *__path2 );
+int __attribute__((__cdecl__)) linkat (int __dirfd1, const char *__path1, int __dirfd2, const char *__path2, int __flags );
+int __attribute__((__cdecl__)) nice (int __nice_value );
+off_t __attribute__((__cdecl__)) lseek (int __fildes, off_t __offset, int __whence );
+int __attribute__((__cdecl__)) lockf (int __fd, int __cmd, off_t __len);
+long __attribute__((__cdecl__)) pathconf (const char *__path, int __name );
+int __attribute__((__cdecl__)) pause (void );
+int __attribute__((__cdecl__)) pthread_atfork (void (*)(void), void (*)(void), void (*)(void));
+int __attribute__((__cdecl__)) pipe (int __fildes[2] );
+int __attribute__((__cdecl__)) pipe2 (int __fildes[2], int flags);
+ssize_t __attribute__((__cdecl__)) pread (int __fd, void *__buf, size_t __nbytes, off_t __offset);
+ssize_t __attribute__((__cdecl__)) pwrite (int __fd, const void *__buf, size_t __nbytes, off_t __offset);
+_ssize_t __attribute__((__cdecl__)) read (int __fd, void *__buf, size_t __nbyte );
+int __attribute__((__cdecl__)) rresvport (int *__alport);
+int __attribute__((__cdecl__)) revoke (char *__path);
+int __attribute__((__cdecl__)) rmdir (const char *__path );
+int __attribute__((__cdecl__)) ruserok (const char *rhost, int superuser, const char *ruser, const char *luser);
+void * __attribute__((__cdecl__)) sbrk (ptrdiff_t __incr);
+int __attribute__((__cdecl__)) setegid (gid_t __gid );
+int __attribute__((__cdecl__)) seteuid (uid_t __uid );
+int __attribute__((__cdecl__)) setgid (gid_t __gid );
+int __attribute__((__cdecl__)) setgroups (int ngroups, const gid_t *grouplist );
+int __attribute__((__cdecl__)) setpgid (pid_t __pid, pid_t __pgid );
+int __attribute__((__cdecl__)) setpgrp (void );
+int __attribute__((__cdecl__)) setregid (gid_t __rgid, gid_t __egid);
+int __attribute__((__cdecl__)) setreuid (uid_t __ruid, uid_t __euid);
+pid_t __attribute__((__cdecl__)) setsid (void );
+int __attribute__((__cdecl__)) setuid (uid_t __uid );
+void __attribute__((__cdecl__)) setusershell (void);
+unsigned __attribute__((__cdecl__)) sleep (unsigned int __seconds );
+void __attribute__((__cdecl__)) swab (const void *, void *, ssize_t);
+long __attribute__((__cdecl__)) sysconf (int __name );
+pid_t __attribute__((__cdecl__)) tcgetpgrp (int __fildes );
+int __attribute__((__cdecl__)) tcsetpgrp (int __fildes, pid_t __pgrp_id );
+char * __attribute__((__cdecl__)) ttyname (int __fildes );
+int __attribute__((__cdecl__)) ttyname_r (int, char *, size_t);
+int __attribute__((__cdecl__)) unlink (const char *__path );
+int __attribute__((__cdecl__)) usleep (useconds_t __useconds);
+int __attribute__((__cdecl__)) vhangup (void );
+_ssize_t __attribute__((__cdecl__)) write (int __fd, const void *__buf, size_t __nbyte );
+extern "C" {
+extern int __attribute__((dllimport)) opterr;
+extern int __attribute__((dllimport)) optind;
+extern int __attribute__((dllimport)) optopt;
+extern int __attribute__((dllimport)) optreset;
+extern char __attribute__((dllimport)) *optarg;
+int getopt (int, char * const *, const char *);
+}
+pid_t __attribute__((__cdecl__)) vfork (void );
+int __attribute__((__cdecl__)) ftruncate (int __fd, off_t __length);
+int __attribute__((__cdecl__)) truncate (const char *, off_t __length);
+int __attribute__((__cdecl__)) getdtablesize (void);
+int __attribute__((__cdecl__)) setdtablesize (int);
+useconds_t __attribute__((__cdecl__)) ualarm (useconds_t __useconds, useconds_t __interval);
+ int __attribute__((__cdecl__)) gethostname (char *__name, size_t __len);
+char * __attribute__((__cdecl__)) mktemp (char *);
+void __attribute__((__cdecl__)) sync (void);
+ssize_t __attribute__((__cdecl__)) readlink (const char *__path, char *__buf, size_t __buflen);
+ssize_t __attribute__((__cdecl__)) readlinkat (int __dirfd1, const char *__path, char *__buf, size_t __buflen);
+int __attribute__((__cdecl__)) symlink (const char *__name1, const char *__name2);
+int __attribute__((__cdecl__)) symlinkat (const char *, int, const char *);
+int __attribute__((__cdecl__)) unlinkat (int, const char *, int);
+}
+namespace boost{
+   __extension__ typedef long long long_long_type;
+   __extension__ typedef unsigned long long ulong_long_type;
+}
+namespace mpl_ { namespace aux {} }
+namespace boost { namespace mpl { using namespace mpl_;
+namespace aux { using namespace mpl_::aux; }
+}}
+namespace mpl_ {
+template< int N > struct int_;
+}
+namespace boost { namespace mpl { using ::mpl_::int_; } }
+namespace mpl_ {
+struct integral_c_tag { static const int value = 0; };
+}
+namespace boost { namespace mpl { using ::mpl_::integral_c_tag; } }
+namespace mpl_ {
+template< int N >
+struct int_
+{
+    static const int value = N;
+    typedef int_ type;
+    typedef int value_type;
+    typedef integral_c_tag tag;
+    typedef mpl_::int_< static_cast<int>((value + 1)) > next;
+    typedef mpl_::int_< static_cast<int>((value - 1)) > prior;
+    operator int() const { return static_cast<int>(this->value); }
+};
+template< int N >
+int const mpl_::int_< N >::value;
+}
+namespace boost { namespace mpl { namespace aux {
+template< typename F > struct template_arity;
+}}}
+namespace mpl_ {
+template< bool C_ > struct bool_;
+typedef bool_<true> true_;
+typedef bool_<false> false_;
+}
+namespace boost { namespace mpl { using ::mpl_::bool_; } }
+namespace boost { namespace mpl { using ::mpl_::true_; } }
+namespace boost { namespace mpl { using ::mpl_::false_; } }
+namespace mpl_ {
+template< bool C_ > struct bool_
+{
+    static const bool value = C_;
+    typedef integral_c_tag tag;
+    typedef bool_ type;
+    typedef bool value_type;
+    operator bool() const { return this->value; }
+};
+template< bool C_ >
+bool const bool_<C_>::value;
+}
+namespace mpl_ {
+template< typename T, T N > struct integral_c;
+}
+namespace boost { namespace mpl { using ::mpl_::integral_c; } }
+namespace mpl_ {
+template< typename T, T N >
+struct integral_c
+{
+    static const T value = N;
+    typedef integral_c type;
+    typedef T value_type;
+    typedef integral_c_tag tag;
+    typedef integral_c< T, static_cast<T>((value + 1)) > next;
+    typedef integral_c< T, static_cast<T>((value - 1)) > prior;
+    operator T() const { return static_cast<T>(this->value); }
+};
+template< typename T, T N >
+T const integral_c< T, N >::value;
+}
+namespace mpl_ {
+template< bool C >
+struct integral_c<bool, C>
+{
+    static const bool value = C;
+    typedef integral_c_tag tag;
+    typedef integral_c type;
+    typedef bool value_type;
+    operator bool() const { return this->value; }
+};
+}
+namespace boost{
+template <class T, T val>
+struct integral_constant : public mpl::integral_c<T, val>
+{
+   typedef integral_constant<T,val> type;
+};
+template<> struct integral_constant<bool,true> : public mpl::true_
+{
+   typedef integral_constant<bool,true> type;
+};
+template<> struct integral_constant<bool,false> : public mpl::false_
+{
+   typedef integral_constant<bool,false> type;
+};
+typedef integral_constant<bool,true> true_type;
+typedef integral_constant<bool,false> false_type;
+}
+namespace boost {
+template< typename T > struct is_reference : ::boost::integral_constant<bool,false> { };
+template< typename T > struct is_reference< T& > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+namespace type_traits {
+struct false_result
+{
+    template <typename T> struct result_
+    {
+        static const bool value = false;
+    };
+};
+}}
+namespace boost {
+namespace type_traits {
+template <class R>
+struct is_function_ptr_helper
+{
+    static const bool value = false;
+};
+template <class R >
+struct is_function_ptr_helper<R (*)()> { static const bool value = true; };
+template <class R >
+struct is_function_ptr_helper<R (*)( ...)> { static const bool value = true; };
+template <class R , class T0>
+struct is_function_ptr_helper<R (*)( T0)> { static const bool value = true; };
+template <class R , class T0>
+struct is_function_ptr_helper<R (*)( T0 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1>
+struct is_function_ptr_helper<R (*)( T0 , T1)> { static const bool value = true; };
+template <class R , class T0 , class T1>
+struct is_function_ptr_helper<R (*)( T0 , T1 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 ...)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24)> { static const bool value = true; };
+template <class R , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_function_ptr_helper<R (*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24 ...)> { static const bool value = true; };
+}
+}
+namespace boost {
+namespace detail {
+template<bool is_ref = true>
+struct is_function_chooser
+    : ::boost::type_traits::false_result
+{
+};
+template <>
+struct is_function_chooser<false>
+{
+    template< typename T > struct result_
+        : ::boost::type_traits::is_function_ptr_helper<T*>
+    {
+    };
+};
+template <typename T>
+struct is_function_impl
+    : is_function_chooser< ::boost::is_reference<T>::value >
+        ::template result_<T>
+{
+};
+}
+template< typename T > struct is_function : ::boost::integral_constant<bool,::boost::detail::is_function_impl<T>::value> { };
+}
+namespace boost
+{
+  template <bool B, class T = void>
+  struct enable_if_c {
+    typedef T type;
+  };
+  template <class T>
+  struct enable_if_c<false, T> {};
+  template <class Cond, class T = void>
+  struct enable_if : public enable_if_c<Cond::value, T> {};
+  template <bool B, class T>
+  struct lazy_enable_if_c {
+    typedef typename T::type type;
+  };
+  template <class T>
+  struct lazy_enable_if_c<false, T> {};
+  template <class Cond, class T>
+  struct lazy_enable_if : public lazy_enable_if_c<Cond::value, T> {};
+  template <bool B, class T = void>
+  struct disable_if_c {
+    typedef T type;
+  };
+  template <class T>
+  struct disable_if_c<true, T> {};
+  template <class Cond, class T = void>
+  struct disable_if : public disable_if_c<Cond::value, T> {};
+  template <bool B, class T>
+  struct lazy_disable_if_c {
+    typedef typename T::type type;
+  };
+  template <class T>
+  struct lazy_disable_if_c<true, T> {};
+  template <class Cond, class T>
+  struct lazy_disable_if : public lazy_disable_if_c<Cond::value, T> {};
+}
+namespace boost { namespace type_of {
+    template<typename T>
+        typename enable_if<is_function<T>, T&>::type
+        ensure_obj(T&);
+    template<typename T>
+        typename disable_if<is_function<T>, T&>::type
+        ensure_obj(const T&);
+}}
+namespace boost { namespace scope_exit { namespace aux {
+    template<int Dummy = 0>
+    struct declared
+    {
+        void* value;
+        static int const cmp2 = 0;
+        friend void operator>(int, declared const&) {}
+    };
+    struct undeclared { declared<> dummy[2]; };
+    template<int> struct resolve;
+    template<>
+    struct resolve<sizeof(declared<>)>
+    {
+        static const int cmp1 = 0;
+    };
+    template<>
+    struct resolve<sizeof(undeclared)>
+    {
+        template<int>
+        struct cmp1
+        {
+            static int const cmp2 = 0;
+        };
+    };
+} } }
+extern boost::scope_exit::aux::undeclared boost_scope_exit_args;
+namespace boost { namespace scope_exit { namespace aux {
+typedef void (*ref_tag)(int&);
+typedef void (*val_tag)(int );
+template<class T, class Tag> struct member;
+template<class T>
+struct member<T,ref_tag>
+{
+    T& value;
+};
+template<class T>
+struct member<T,val_tag>
+{
+    T value;
+};
+template<class T> inline T& deref(T* p, ref_tag) { return *p; }
+template<class T> inline T& deref(T& r, val_tag) { return r; }
+template<class T>
+struct wrapper
+{
+    typedef T type;
+};
+template<class T> wrapper<T> wrap(T&);
+} } }
+
+namespace contract { namespace detail {
+template<typename T> struct add_pointed_const { typedef T type; };
+template<typename T> struct add_pointed_const<T*> { typedef T const* type; };
+template<typename T> struct add_pointed_const<T const*>
+    { typedef T const* type; };
+template<typename T> struct add_pointed_const<T* const>
+    { typedef T const* const type; };
+template<typename T> struct add_pointed_const<T const* const>
+    { typedef T const* const type; };
+}}
+namespace boost {
+template< typename T > struct add_const { typedef T const type; };
+template< typename T > struct add_const<T&> { typedef T& type; };
+}
+namespace boost {
+template< typename T > struct add_cv { typedef T const volatile type; };
+template< typename T > struct add_cv<T&> { typedef T& type; };
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
+namespace boost {
+template< typename T > struct remove_reference { typedef T type; };
+template< typename T > struct remove_reference<T&> { typedef T type; };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct add_pointer_impl
+{
+    typedef typename remove_reference<T>::type no_ref_type;
+    typedef no_ref_type* type;
+};
+}
+template< typename T > struct add_pointer { typedef typename boost::detail::add_pointer_impl<T>::type type; };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct add_reference_impl
+{
+    typedef T& type;
+};
+template< typename T > struct add_reference_impl<T&> { typedef T& type; };
+template<> struct add_reference_impl<void> { typedef void type; };
+template<> struct add_reference_impl<void const> { typedef void const type; };
+template<> struct add_reference_impl<void volatile> { typedef void volatile type; };
+template<> struct add_reference_impl<void const volatile> { typedef void const volatile type; };
+}
+template< typename T > struct add_reference { typedef typename boost::detail::add_reference_impl<T>::type type; };
+}
+namespace boost {
+template< typename T > struct add_volatile { typedef T volatile type; };
+template< typename T > struct add_volatile<T&> { typedef T& type; };
+}
+       
+namespace boost {
+template< typename T, typename U > struct is_same : ::boost::integral_constant<bool,false> { };
+template< typename T > struct is_same< T,T > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+namespace detail {
+template <typename T> struct cv_traits_imp {};
+template <typename T>
+struct cv_traits_imp<T*>
+{
+    static const bool is_const = false;
+    static const bool is_volatile = false;
+    typedef T unqualified_type;
+};
+template <typename T>
+struct cv_traits_imp<const T*>
+{
+    static const bool is_const = true;
+    static const bool is_volatile = false;
+    typedef T unqualified_type;
+};
+template <typename T>
+struct cv_traits_imp<volatile T*>
+{
+    static const bool is_const = false;
+    static const bool is_volatile = true;
+    typedef T unqualified_type;
+};
+template <typename T>
+struct cv_traits_imp<const volatile T*>
+{
+    static const bool is_const = true;
+    static const bool is_volatile = true;
+    typedef T unqualified_type;
+};
+}
+}
+namespace boost {
+   template< typename T > struct is_volatile : ::boost::integral_constant<bool,::boost::detail::cv_traits_imp<T*>::is_volatile> { };
+template< typename T > struct is_volatile< T& > : ::boost::integral_constant<bool,false> { };
+}
+       
+namespace mpl_ {
+template< std::size_t N > struct size_t;
+}
+namespace boost { namespace mpl { using ::mpl_::size_t; } }
+namespace mpl_ {
+template< std::size_t N >
+struct size_t
+{
+    static const std::size_t value = N;
+    typedef size_t type;
+    typedef std::size_t value_type;
+    typedef integral_c_tag tag;
+    typedef mpl_::size_t< static_cast<std::size_t>((value + 1)) > next;
+    typedef mpl_::size_t< static_cast<std::size_t>((value - 1)) > prior;
+    operator std::size_t() const { return static_cast<std::size_t>(this->value); }
+};
+template< std::size_t N >
+std::size_t const mpl_::size_t< N >::value;
+}
+       
+namespace boost {
+template <typename T> struct alignment_of;
+namespace detail {
+template <typename T>
+struct alignment_of_hack
+{
+    char c;
+    T t;
+    alignment_of_hack();
+};
+template <unsigned A, unsigned S>
+struct alignment_logic
+{
+    static const std::size_t value = A < S ? A : S;
+};
+template< typename T >
+struct alignment_of_impl
+{
+    static const std::size_t value = (::boost::detail::alignment_logic< sizeof(::boost::detail::alignment_of_hack<T>) - sizeof(T), sizeof(T) >::value);
+};
+}
+template< typename T > struct alignment_of : ::boost::integral_constant<std::size_t,::boost::detail::alignment_of_impl<T>::value> { };
+template <typename T>
+struct alignment_of<T&>
+    : alignment_of<T*>
+{
+};
+template<> struct alignment_of<void> : ::boost::integral_constant<std::size_t,0> { };
+template<> struct alignment_of<void const> : ::boost::integral_constant<std::size_t,0> { };
+template<> struct alignment_of<void volatile> : ::boost::integral_constant<std::size_t,0> { };
+template<> struct alignment_of<void const volatile> : ::boost::integral_constant<std::size_t,0> { };
+}
+namespace boost {
+template< typename T > struct is_void : ::boost::integral_constant<bool,false> { };
+template<> struct is_void< void > : ::boost::integral_constant<bool,true> { };
+template<> struct is_void< void const > : ::boost::integral_constant<bool,true> { };
+template<> struct is_void< void volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_void< void const volatile > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+template< typename T > struct is_integral : ::boost::integral_constant<bool,false> { };
+template<> struct is_integral< unsigned char > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned char const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned char volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned char const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< unsigned short > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned short const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned short volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned short const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< unsigned int > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned int const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned int volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned int const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< unsigned long > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned long const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned long volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< unsigned long const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< signed char > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed char const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed char volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed char const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< signed short > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed short const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed short volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed short const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< signed int > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed int const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed int volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed int const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< signed long > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed long const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed long volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< signed long const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< bool > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< bool const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< bool volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< bool const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< char > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< char const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< char volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< char const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< wchar_t > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< wchar_t const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< wchar_t volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< wchar_t const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< ::boost::ulong_long_type > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< ::boost::ulong_long_type const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< ::boost::ulong_long_type volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< ::boost::ulong_long_type const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_integral< ::boost::long_long_type > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< ::boost::long_long_type const > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< ::boost::long_long_type volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_integral< ::boost::long_long_type const volatile > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+template< typename T > struct is_float : ::boost::integral_constant<bool,false> { };
+template<> struct is_float< float > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< float const > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< float volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< float const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_float< double > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< double const > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< double volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< double const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_float< long double > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< long double const > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< long double volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_float< long double const volatile > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+namespace type_traits {
+template <bool b1, bool b2, bool b3 = false, bool b4 = false, bool b5 = false, bool b6 = false, bool b7 = false>
+struct ice_or;
+template <bool b1, bool b2, bool b3, bool b4, bool b5, bool b6, bool b7>
+struct ice_or
+{
+    static const bool value = true;
+};
+template <>
+struct ice_or<false, false, false, false, false, false, false>
+{
+    static const bool value = false;
+};
+}
+}
+namespace boost {
+namespace detail {
+template< typename T >
+struct is_arithmetic_impl
+{
+    static const bool value = (::boost::type_traits::ice_or< ::boost::is_integral<T>::value, ::boost::is_float<T>::value >::value);
+};
+}
+template< typename T > struct is_arithmetic : ::boost::integral_constant<bool,::boost::detail::is_arithmetic_impl<T>::value> { };
+}
+namespace boost {
+template< typename T > struct is_enum : ::boost::integral_constant<bool,__is_enum(T)> { };
+}
+namespace boost {
+namespace type_traits {
+template <typename T>
+struct is_mem_fun_pointer_impl
+{
+    static const bool value = false;
+};
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)() > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)( ...) > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)() const > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)() volatile > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)() const volatile > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)( ...) const > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)( ...) volatile > { static const bool value = true; };
+template <class R, class T >
+struct is_mem_fun_pointer_impl<R (T::*)( ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0) > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 ...) > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0) const > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0) volatile > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0) const volatile > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 ...) const > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 ...) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24 ...) > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24) const volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24 ...) const > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24 ...) volatile > { static const bool value = true; };
+template <class R, class T , class T0 , class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 , class T16 , class T17 , class T18 , class T19 , class T20 , class T21 , class T22 , class T23 , class T24>
+struct is_mem_fun_pointer_impl<R (T::*)( T0 , T1 , T2 , T3 , T4 , T5 , T6 , T7 , T8 , T9 , T10 , T11 , T12 , T13 , T14 , T15 , T16 , T17 , T18 , T19 , T20 , T21 , T22 , T23 , T24 ...) const volatile > { static const bool value = true; };
+}
+}
+       
+namespace boost {
+template< typename T > struct remove_cv { typedef typename boost::detail::cv_traits_imp<T*>::unqualified_type type; };
+template< typename T > struct remove_cv<T&> { typedef T& type; };
+template< typename T, std::size_t N > struct remove_cv<T const[N]> { typedef T type[N]; };
+template< typename T, std::size_t N > struct remove_cv<T volatile[N]> { typedef T type[N]; };
+template< typename T, std::size_t N > struct remove_cv<T const volatile[N]> { typedef T type[N]; };
+}
+namespace boost {
+template< typename T > struct is_member_function_pointer : ::boost::integral_constant<bool,::boost::type_traits::is_mem_fun_pointer_impl<typename remove_cv<T>::type>::value> { };
+}
+namespace boost {
+template< typename T > struct is_member_pointer : ::boost::integral_constant<bool,::boost::is_member_function_pointer<T>::value> { };
+template< typename T, typename U > struct is_member_pointer< U T::* > : ::boost::integral_constant<bool,true> { };
+template< typename T, typename U > struct is_member_pointer< U T::*const > : ::boost::integral_constant<bool,true> { };
+template< typename T, typename U > struct is_member_pointer< U T::*volatile > : ::boost::integral_constant<bool,true> { };
+template< typename T, typename U > struct is_member_pointer< U T::*const volatile > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+namespace type_traits {
+template <bool b1, bool b2, bool b3 = true, bool b4 = true, bool b5 = true, bool b6 = true, bool b7 = true>
+struct ice_and;
+template <bool b1, bool b2, bool b3, bool b4, bool b5, bool b6, bool b7>
+struct ice_and
+{
+    static const bool value = false;
+};
+template <>
+struct ice_and<true, true, true, true, true, true, true>
+{
+    static const bool value = true;
+};
+}
+}
+namespace boost {
+namespace type_traits {
+template <bool b>
+struct ice_not
+{
+    static const bool value = true;
+};
+template <>
+struct ice_not<true>
+{
+    static const bool value = false;
+};
+}
+}
+namespace boost {
+namespace detail {
+template< typename T > struct is_pointer_helper
+{
+    static const bool value = false;
+};
+template< typename T > struct is_pointer_helper<T*> { static const bool value = true; };
+template< typename T >
+struct is_pointer_impl
+{
+    static const bool value = (::boost::type_traits::ice_and< ::boost::detail::is_pointer_helper<typename remove_cv<T>::type>::value , ::boost::type_traits::ice_not< ::boost::is_member_pointer<T>::value >::value >::value);
+};
+}
+template< typename T > struct is_pointer : ::boost::integral_constant<bool,::boost::detail::is_pointer_impl<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct is_scalar_impl
+{
+   static const bool value = (::boost::type_traits::ice_or< ::boost::is_arithmetic<T>::value, ::boost::is_enum<T>::value, ::boost::is_pointer<T>::value, ::boost::is_member_pointer<T>::value >::value);
+};
+template <> struct is_scalar_impl<void>{ static const bool value = false; };
+template <> struct is_scalar_impl<void const>{ static const bool value = false; };
+template <> struct is_scalar_impl<void volatile>{ static const bool value = false; };
+template <> struct is_scalar_impl<void const volatile>{ static const bool value = false; };
+}
+template< typename T > struct is_scalar : ::boost::integral_constant<bool,::boost::detail::is_scalar_impl<T>::value> { };
+}
+       
+namespace boost {
+template< typename T > struct is_POD;
+namespace detail {
+template <typename T> struct is_pod_impl
+{
+    static const bool value = (::boost::type_traits::ice_or< ::boost::is_scalar<T>::value, ::boost::is_void<T>::value, __is_pod(T) >::value);
+};
+template <typename T, std::size_t sz>
+struct is_pod_impl<T[sz]>
+    : is_pod_impl<T>
+{
+};
+template<> struct is_pod_impl< void > { static const bool value = (true); };
+template<> struct is_pod_impl< void const > { static const bool value = (true); };
+template<> struct is_pod_impl< void volatile > { static const bool value = (true); };
+template<> struct is_pod_impl< void const volatile > { static const bool value = (true); };
+}
+template< typename T > struct is_POD : ::boost::integral_constant<bool,::boost::detail::is_pod_impl<T>::value> { };
+template< typename T > struct is_pod : ::boost::integral_constant<bool,::boost::detail::is_pod_impl<T>::value> { };
+}
+namespace boost {
+   template< typename T > struct is_const : ::boost::integral_constant<bool,::boost::detail::cv_traits_imp<T*>::is_const> { };
+template< typename T > struct is_const< T& > : ::boost::integral_constant<bool,false> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct has_trivial_assign_impl
+{
+   static const bool value = (::boost::type_traits::ice_and< ::boost::type_traits::ice_or< ::boost::is_pod<T>::value, __has_trivial_assign(T) >::value, ::boost::type_traits::ice_not< ::boost::is_const<T>::value >::value, ::boost::type_traits::ice_not< ::boost::is_volatile<T>::value >::value >::value);
+};
+}
+template< typename T > struct has_trivial_assign : ::boost::integral_constant<bool,::boost::detail::has_trivial_assign_impl<T>::value> { };
+}
+namespace boost {
+namespace detail{
+template <class T>
+struct has_nothrow_assign_imp{
+   static const bool value = (::boost::type_traits::ice_or< ::boost::has_trivial_assign<T>::value, (__has_nothrow_assign(T) && !is_volatile<T>::value) >::value);
+};
+}
+template< typename T > struct has_nothrow_assign : ::boost::integral_constant<bool,::boost::detail::has_nothrow_assign_imp<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct has_trivial_ctor_impl
+{
+   static const bool value = (::boost::type_traits::ice_or< ::boost::is_pod<T>::value, __has_trivial_constructor(T) >::value);
+};
+}
+template< typename T > struct has_trivial_constructor : ::boost::integral_constant<bool,::boost::detail::has_trivial_ctor_impl<T>::value> { };
+template< typename T > struct has_trivial_default_constructor : ::boost::integral_constant<bool,::boost::detail::has_trivial_ctor_impl<T>::value> { };
+}
+namespace boost {
+namespace detail{
+template <class T>
+struct has_nothrow_constructor_imp{
+   static const bool value = (::boost::type_traits::ice_or< ::boost::has_trivial_constructor<T>::value, __has_nothrow_constructor(T) >::value);
+};
+}
+template< typename T > struct has_nothrow_constructor : ::boost::integral_constant<bool,::boost::detail::has_nothrow_constructor_imp<T>::value> { };
+template< typename T > struct has_nothrow_default_constructor : ::boost::integral_constant<bool,::boost::detail::has_nothrow_constructor_imp<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct has_trivial_copy_impl
+{
+   static const bool value = (::boost::type_traits::ice_and< ::boost::type_traits::ice_or< ::boost::is_pod<T>::value, (__has_trivial_copy(T) && !is_reference<T>::value) >::value, ::boost::type_traits::ice_not< ::boost::is_volatile<T>::value >::value >::value);
+};
+}
+template< typename T > struct has_trivial_copy : ::boost::integral_constant<bool,::boost::detail::has_trivial_copy_impl<T>::value> { };
+template< typename T > struct has_trivial_copy_constructor : ::boost::integral_constant<bool,::boost::detail::has_trivial_copy_impl<T>::value> { };
+}
+namespace boost {
+namespace detail{
+template <class T>
+struct has_nothrow_copy_imp{
+   static const bool value = (::boost::type_traits::ice_or< ::boost::has_trivial_copy<T>::value, (__has_nothrow_copy(T) && !is_volatile<T>::value && !is_reference<T>::value) >::value);
+};
+}
+template< typename T > struct has_nothrow_copy : ::boost::integral_constant<bool,::boost::detail::has_nothrow_copy_imp<T>::value> { };
+template< typename T > struct has_nothrow_copy_constructor : ::boost::integral_constant<bool,::boost::detail::has_nothrow_copy_imp<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct has_trivial_dtor_impl
+{
+   static const bool value = (::boost::type_traits::ice_or< ::boost::is_pod<T>::value, __has_trivial_destructor(T) >::value);
+};
+}
+template< typename T > struct has_trivial_destructor : ::boost::integral_constant<bool,::boost::detail::has_trivial_dtor_impl<T>::value> { };
+}
+namespace boost {
+template< typename T > struct has_nothrow_destructor : ::boost::integral_constant<bool,::boost::has_trivial_destructor<T>::value> { };
+}
+namespace boost {
+template< typename T > struct has_virtual_destructor : ::boost::integral_constant<bool,__has_virtual_destructor(T)> { };
+}
+namespace boost {
+namespace detail{
+template <class T>
+struct is_signed_values
+{
+   typedef typename remove_cv<T>::type no_cv_t;
+   static const no_cv_t minus_one = (static_cast<no_cv_t>(-1));
+   static const no_cv_t zero = (static_cast<no_cv_t>(0));
+};
+template <class T>
+struct is_signed_helper
+{
+   typedef typename remove_cv<T>::type no_cv_t;
+   static const bool value = (!(::boost::detail::is_signed_values<T>::minus_one > boost::detail::is_signed_values<T>::zero));
+};
+template <bool integral_type>
+struct is_signed_select_helper
+{
+   template <class T>
+   struct rebind
+   {
+      typedef is_signed_helper<T> type;
+   };
+};
+template <>
+struct is_signed_select_helper<false>
+{
+   template <class T>
+   struct rebind
+   {
+      typedef false_type type;
+   };
+};
+template <class T>
+struct is_signed_imp
+{
+   typedef is_signed_select_helper<
+      ::boost::type_traits::ice_or<
+         ::boost::is_integral<T>::value,
+         ::boost::is_enum<T>::value>::value
+   > selector;
+   typedef typename selector::template rebind<T> binder;
+   typedef typename binder::type type;
+   static const bool value = type::value;
+};
+}
+template< typename T > struct is_signed : ::boost::integral_constant<bool,::boost::detail::is_signed_imp<T>::value> { };
+}
+namespace boost {
+namespace detail{
+template <class T>
+struct is_unsigned_values
+{
+   typedef typename remove_cv<T>::type no_cv_t;
+   static const no_cv_t minus_one = (static_cast<no_cv_t>(-1));
+   static const no_cv_t zero = (static_cast<no_cv_t>(0));
+};
+template <class T>
+struct is_ununsigned_helper
+{
+   static const bool value = (::boost::detail::is_unsigned_values<T>::minus_one > ::boost::detail::is_unsigned_values<T>::zero);
+};
+template <bool integral_type>
+struct is_ununsigned_select_helper
+{
+   template <class T>
+   struct rebind
+   {
+      typedef is_ununsigned_helper<T> type;
+   };
+};
+template <>
+struct is_ununsigned_select_helper<false>
+{
+   template <class T>
+   struct rebind
+   {
+      typedef false_type type;
+   };
+};
+template <class T>
+struct is_unsigned_imp
+{
+   typedef is_ununsigned_select_helper<
+      ::boost::type_traits::ice_or<
+         ::boost::is_integral<T>::value,
+         ::boost::is_enum<T>::value>::value
+   > selector;
+   typedef typename selector::template rebind<T> binder;
+   typedef typename binder::type type;
+   static const bool value = type::value;
+};
+}
+template< typename T > struct is_unsigned : ::boost::integral_constant<bool,::boost::detail::is_unsigned_imp<T>::value> { };
+}
+namespace boost {
+namespace detail{
+template <class T>
+struct is_abstract_imp
+{
+   static const bool value = __is_abstract(T);
+};
+}
+template< typename T > struct is_abstract : ::boost::integral_constant<bool,::boost::detail::is_abstract_imp<T>::value> { };
+}
+       
+namespace boost {
+template< typename T > struct is_array : ::boost::integral_constant<bool,false> { };
+template< typename T, std::size_t N > struct is_array< T[N] > : ::boost::integral_constant<bool,true> { };
+template< typename T, std::size_t N > struct is_array< T const[N] > : ::boost::integral_constant<bool,true> { };
+template< typename T, std::size_t N > struct is_array< T volatile[N] > : ::boost::integral_constant<bool,true> { };
+template< typename T, std::size_t N > struct is_array< T const volatile[N] > : ::boost::integral_constant<bool,true> { };
+template< typename T > struct is_array< T[] > : ::boost::integral_constant<bool,true> { };
+template< typename T > struct is_array< T const[] > : ::boost::integral_constant<bool,true> { };
+template< typename T > struct is_array< T volatile[] > : ::boost::integral_constant<bool,true> { };
+template< typename T > struct is_array< T const volatile[] > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+namespace detail {
+template <typename B, typename D>
+struct is_base_and_derived_impl
+{
+    typedef typename remove_cv<B>::type ncvB;
+    typedef typename remove_cv<D>::type ncvD;
+    static const bool value = ((__is_base_of(B,D) && !is_same<B,D>::value) && ! ::boost::is_same<ncvB,ncvD>::value);
+};
+}
+template< typename Base, typename Derived > struct is_base_and_derived : ::boost::integral_constant<bool,(::boost::detail::is_base_and_derived_impl<Base,Derived>::value)> { };
+template< typename Base, typename Derived > struct is_base_and_derived< Base&,Derived > : ::boost::integral_constant<bool,false> { };
+template< typename Base, typename Derived > struct is_base_and_derived< Base,Derived& > : ::boost::integral_constant<bool,false> { };
+template< typename Base, typename Derived > struct is_base_and_derived< Base&,Derived& > : ::boost::integral_constant<bool,false> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct is_class_impl
+{
+    static const bool value = __is_class(T);
+};
+}
+template< typename T > struct is_class : ::boost::integral_constant<bool,::boost::detail::is_class_impl<T>::value> { };
+}
+namespace boost {
+   namespace detail{
+      template <class B, class D>
+      struct is_base_of_imp
+      {
+          typedef typename remove_cv<B>::type ncvB;
+          typedef typename remove_cv<D>::type ncvD;
+          static const bool value = (::boost::type_traits::ice_or< (::boost::detail::is_base_and_derived_impl<ncvB,ncvD>::value), (::boost::type_traits::ice_and< ::boost::is_same<ncvB,ncvD>::value, ::boost::is_class<ncvB>::value>::value)>::value);
+      };
+   }
+template< typename Base, typename Derived > struct is_base_of : ::boost::integral_constant<bool,(::boost::detail::is_base_of_imp<Base, Derived>::value)> { };
+template< typename Base, typename Derived > struct is_base_of< Base&,Derived > : ::boost::integral_constant<bool,false> { };
+template< typename Base, typename Derived > struct is_base_of< Base,Derived& > : ::boost::integral_constant<bool,false> { };
+template< typename Base, typename Derived > struct is_base_of< Base&,Derived& > : ::boost::integral_constant<bool,false> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct is_fundamental_impl
+    : ::boost::type_traits::ice_or<
+          ::boost::is_arithmetic<T>::value
+        , ::boost::is_void<T>::value
+        >
+{
+};
+}
+template< typename T > struct is_fundamental : ::boost::integral_constant<bool,::boost::detail::is_fundamental_impl<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct is_compound_impl
+{
+   static const bool value = (::boost::type_traits::ice_not< ::boost::is_fundamental<T>::value >::value);
+};
+}
+template< typename T > struct is_compound : ::boost::integral_constant<bool,::boost::detail::is_compound_impl<T>::value> { };
+}
+namespace boost {
+namespace type_traits {
+typedef char yes_type;
+struct no_type
+{
+   char padding[8];
+};
+}
+}
+namespace boost {
+namespace type_traits {
+template <int b1, int b2>
+struct ice_eq
+{
+    static const bool value = (b1 == b2);
+};
+template <int b1, int b2>
+struct ice_ne
+{
+    static const bool value = (b1 != b2);
+};
+template <int b1, int b2> bool const ice_eq<b1,b2>::value;
+template <int b1, int b2> bool const ice_ne<b1,b2>::value;
+}
+}
+namespace boost {
+namespace detail {
+struct any_conversion
+{
+    template <typename T> any_conversion(const volatile T&);
+    template <typename T> any_conversion(T&);
+};
+template <typename T> struct checker
+{
+    static boost::type_traits::no_type _m_check(any_conversion ...);
+    static boost::type_traits::yes_type _m_check(T, int);
+};
+template <typename From, typename To>
+struct is_convertible_basic_impl
+{
+    static From _m_from;
+    static bool const value = sizeof( detail::checker<To>::_m_check(_m_from, 0) )
+        == sizeof(::boost::type_traits::yes_type);
+};
+template <typename From, typename To>
+struct is_convertible_impl
+{
+    typedef typename add_reference<From>::type ref_type;
+    static const bool value = (::boost::type_traits::ice_and< ::boost::type_traits::ice_or< ::boost::detail::is_convertible_basic_impl<ref_type,To>::value, ::boost::is_void<To>::value >::value, ::boost::type_traits::ice_not< ::boost::is_array<To>::value >::value >::value);
+};
+template <bool trivial1, bool trivial2, bool abstract_target>
+struct is_convertible_impl_select
+{
+   template <class From, class To>
+   struct rebind
+   {
+      typedef is_convertible_impl<From, To> type;
+   };
+};
+template <>
+struct is_convertible_impl_select<true, true, false>
+{
+   template <class From, class To>
+   struct rebind
+   {
+      typedef true_type type;
+   };
+};
+template <>
+struct is_convertible_impl_select<false, false, true>
+{
+   template <class From, class To>
+   struct rebind
+   {
+      typedef false_type type;
+   };
+};
+template <>
+struct is_convertible_impl_select<true, false, true>
+{
+   template <class From, class To>
+   struct rebind
+   {
+      typedef false_type type;
+   };
+};
+template <typename From, typename To>
+struct is_convertible_impl_dispatch_base
+{
+   typedef is_convertible_impl_select<
+      ::boost::is_arithmetic<From>::value,
+      ::boost::is_arithmetic<To>::value,
+      ::boost::is_abstract<To>::value
+   > selector;
+   typedef typename selector::template rebind<From, To> isc_binder;
+   typedef typename isc_binder::type type;
+};
+template <typename From, typename To>
+struct is_convertible_impl_dispatch
+   : public is_convertible_impl_dispatch_base<From, To>::type
+{};
+    template<> struct is_convertible_impl< void,void > { static const bool value = (true); }; template<> struct is_convertible_impl< void,void const > { static const bool value = (true); }; template<> struct is_convertible_impl< void,void volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void,void const volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void const,void > { static const bool value = (true); }; template<> struct is_convertible_impl< void const,void const > { static const bool value = (true); }; template<> struct is_convertible_impl< void const,void volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void const,void const volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void volatile,void > { static const bool value = (true); }; template<> struct is_convertible_impl< void volatile,void const > { static const bool value = (true); }; template<>
 struct is_convertible_impl< void volatile,void volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void volatile,void const volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void const volatile,void > { static const bool value = (true); }; template<> struct is_convertible_impl< void const volatile,void const > { static const bool value = (true); }; template<> struct is_convertible_impl< void const volatile,void volatile > { static const bool value = (true); }; template<> struct is_convertible_impl< void const volatile,void const volatile > { static const bool value = (true); };
+template< typename To > struct is_convertible_impl< void,To > { static const bool value = (false); };
+template< typename From > struct is_convertible_impl< From,void > { static const bool value = (true); };
+template< typename To > struct is_convertible_impl< void const,To > { static const bool value = (false); };
+template< typename To > struct is_convertible_impl< void volatile,To > { static const bool value = (false); };
+template< typename To > struct is_convertible_impl< void const volatile,To > { static const bool value = (false); };
+template< typename From > struct is_convertible_impl< From,void const > { static const bool value = (true); };
+template< typename From > struct is_convertible_impl< From,void volatile > { static const bool value = (true); };
+template< typename From > struct is_convertible_impl< From,void const volatile > { static const bool value = (true); };
+}
+template< typename From, typename To > struct is_convertible : ::boost::integral_constant<bool,(::boost::detail::is_convertible_impl_dispatch<From,To>::value)> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct empty_helper_t1 : public T
+{
+    empty_helper_t1();
+    int i[256];
+private:
+   empty_helper_t1(const empty_helper_t1&);
+   empty_helper_t1& operator=(const empty_helper_t1&);
+};
+struct empty_helper_t2 { int i[256]; };
+template <typename T, bool is_a_class = false>
+struct empty_helper
+{
+    static const bool value = false;
+};
+template <typename T>
+struct empty_helper<T, true>
+{
+    static const bool value = (sizeof(empty_helper_t1<T>) == sizeof(empty_helper_t2));
+};
+template <typename T>
+struct is_empty_impl
+{
+    typedef typename remove_cv<T>::type cvt;
+    static const bool value = ( ::boost::type_traits::ice_or< ::boost::detail::empty_helper<cvt,::boost::is_class<T>::value>::value , __is_empty(cvt) >::value );
+};
+template<> struct is_empty_impl< void > { static const bool value = (false); };
+template<> struct is_empty_impl< void const > { static const bool value = (false); };
+template<> struct is_empty_impl< void volatile > { static const bool value = (false); };
+template<> struct is_empty_impl< void const volatile > { static const bool value = (false); };
+}
+template< typename T > struct is_empty : ::boost::integral_constant<bool,::boost::detail::is_empty_impl<T>::value> { };
+}
+namespace boost {
+template< typename T > struct is_floating_point : ::boost::integral_constant<bool,false> { };
+template<> struct is_floating_point< float > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< float const > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< float volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< float const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_floating_point< double > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< double const > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< double volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< double const volatile > : ::boost::integral_constant<bool,true> { };
+template<> struct is_floating_point< long double > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< long double const > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< long double volatile > : ::boost::integral_constant<bool,true> { }; template<> struct is_floating_point< long double const volatile > : ::boost::integral_constant<bool,true> { };
+}
+namespace boost {
+namespace detail{
+template <typename T>
+struct is_member_object_pointer_impl
+{
+   static const bool value = (::boost::type_traits::ice_and< ::boost::is_member_pointer<T>::value, ::boost::type_traits::ice_not< ::boost::is_member_function_pointer<T>::value >::value >::value );
+};
+}
+template< typename T > struct is_member_object_pointer : ::boost::integral_constant<bool,::boost::detail::is_member_object_pointer_impl<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct is_object_impl
+{
+   static const bool value = (::boost::type_traits::ice_and< ::boost::type_traits::ice_not< ::boost::is_reference<T>::value>::value, ::boost::type_traits::ice_not< ::boost::is_void<T>::value>::value, ::boost::type_traits::ice_not< ::boost::is_function<T>::value>::value >::value);
+};
+}
+template< typename T > struct is_object : ::boost::integral_constant<bool,::boost::detail::is_object_impl<T>::value> { };
+}
+namespace boost{
+template< typename T > struct is_polymorphic : ::boost::integral_constant<bool,__is_polymorphic(T)> { };
+}
+namespace boost {
+namespace detail {
+template <typename T>
+struct is_stateless_impl
+{
+  static const bool value = (::boost::type_traits::ice_and< ::boost::has_trivial_constructor<T>::value, ::boost::has_trivial_copy<T>::value, ::boost::has_trivial_destructor<T>::value, ::boost::is_class<T>::value, ::boost::is_empty<T>::value >::value);
+};
+}
+template< typename T > struct is_stateless : ::boost::integral_constant<bool,::boost::detail::is_stateless_impl<T>::value> { };
+}
+namespace boost {
+namespace detail {
+template <typename T> struct is_union_impl
+{
+   static const bool value = __is_union(T);
+};
+}
+template< typename T > struct is_union : ::boost::integral_constant<bool,::boost::detail::is_union_impl<T>::value> { };
+}
+       
+namespace boost {
+namespace detail{
+template <class T, std::size_t N>
+struct rank_imp
+{
+   static const std::size_t value = N;
+};
+template <class T, std::size_t R, std::size_t N>
+struct rank_imp<T[R], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t R, std::size_t N>
+struct rank_imp<T const[R], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t R, std::size_t N>
+struct rank_imp<T volatile[R], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t R, std::size_t N>
+struct rank_imp<T const volatile[R], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t N>
+struct rank_imp<T[], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t N>
+struct rank_imp<T const[], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t N>
+struct rank_imp<T volatile[], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+template <class T, std::size_t N>
+struct rank_imp<T const volatile[], N>
+{
+   static const std::size_t value = (::boost::detail::rank_imp<T, N+1>::value);
+};
+}
+template< typename T > struct rank : ::boost::integral_constant<std::size_t,(::boost::detail::rank_imp<T,0>::value)> { };
+}
+       
+namespace boost {
+namespace detail{
+template <class T, std::size_t N>
+struct extent_imp
+{
+   static const std::size_t value = 0;
+};
+template <class T, std::size_t R, std::size_t N>
+struct extent_imp<T[R], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t R, std::size_t N>
+struct extent_imp<T const[R], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t R, std::size_t N>
+struct extent_imp<T volatile[R], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t R, std::size_t N>
+struct extent_imp<T const volatile[R], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t R>
+struct extent_imp<T[R],0>
+{
+   static const std::size_t value = R;
+};
+template <class T, std::size_t R>
+struct extent_imp<T const[R], 0>
+{
+   static const std::size_t value = R;
+};
+template <class T, std::size_t R>
+struct extent_imp<T volatile[R], 0>
+{
+   static const std::size_t value = R;
+};
+template <class T, std::size_t R>
+struct extent_imp<T const volatile[R], 0>
+{
+   static const std::size_t value = R;
+};
+template <class T, std::size_t N>
+struct extent_imp<T[], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t N>
+struct extent_imp<T const[], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t N>
+struct extent_imp<T volatile[], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T, std::size_t N>
+struct extent_imp<T const volatile[], N>
+{
+   static const std::size_t value = (::boost::detail::extent_imp<T, N-1>::value);
+};
+template <class T>
+struct extent_imp<T[], 0>
+{
+   static const std::size_t value = 0;
+};
+template <class T>
+struct extent_imp<T const[], 0>
+{
+   static const std::size_t value = 0;
+};
+template <class T>
+struct extent_imp<T volatile[], 0>
+{
+   static const std::size_t value = 0;
+};
+template <class T>
+struct extent_imp<T const volatile[], 0>
+{
+   static const std::size_t value = 0;
+};
+}
+template <class T, std::size_t N = 0>
+struct extent
+   : public ::boost::integral_constant<std::size_t, ::boost::detail::extent_imp<T,N>::value>
+{
+   
+};
+}
+       
+namespace boost {
+template< typename T > struct remove_bounds { typedef T type; };
+template< typename T, std::size_t N > struct remove_bounds<T[N]> { typedef T type; };
+template< typename T, std::size_t N > struct remove_bounds<T const[N]> { typedef T const type; };
+template< typename T, std::size_t N > struct remove_bounds<T volatile[N]> { typedef T volatile type; };
+template< typename T, std::size_t N > struct remove_bounds<T const volatile[N]> { typedef T const volatile type; };
+template< typename T > struct remove_bounds<T[]> { typedef T type; };
+template< typename T > struct remove_bounds<T const[]> { typedef T const type; };
+template< typename T > struct remove_bounds<T volatile[]> { typedef T volatile type; };
+template< typename T > struct remove_bounds<T const volatile[]> { typedef T const volatile type; };
+}
+       
+namespace boost {
+template< typename T > struct remove_extent { typedef T type; };
+template< typename T, std::size_t N > struct remove_extent<T[N]> { typedef T type; };
+template< typename T, std::size_t N > struct remove_extent<T const[N]> { typedef T const type; };
+template< typename T, std::size_t N > struct remove_extent<T volatile[N]> { typedef T volatile type; };
+template< typename T, std::size_t N > struct remove_extent<T const volatile[N]> { typedef T const volatile type; };
+template< typename T > struct remove_extent<T[]> { typedef T type; };
+template< typename T > struct remove_extent<T const[]> { typedef T const type; };
+template< typename T > struct remove_extent<T volatile[]> { typedef T volatile type; };
+template< typename T > struct remove_extent<T const volatile[]> { typedef T const volatile type; };
+}
+       
+namespace boost {
+template< typename T > struct remove_all_extents { typedef T type; };
+template< typename T, std::size_t N > struct remove_all_extents<T[N]> { typedef typename boost::remove_all_extents<T>::type type; };
+template< typename T, std::size_t N > struct remove_all_extents<T const[N]> { typedef typename boost::remove_all_extents<T const>::type type; };
+template< typename T, std::size_t N > struct remove_all_extents<T volatile[N]> { typedef typename boost::remove_all_extents<T volatile>::type type; };
+template< typename T, std::size_t N > struct remove_all_extents<T const volatile[N]> { typedef typename boost::remove_all_extents<T const volatile>::type type; };
+template< typename T > struct remove_all_extents<T[]> { typedef typename boost::remove_all_extents<T>::type type; };
+template< typename T > struct remove_all_extents<T const[]> { typedef typename boost::remove_all_extents<T const>::type type; };
+template< typename T > struct remove_all_extents<T volatile[]> { typedef typename boost::remove_all_extents<T volatile>::type type; };
+template< typename T > struct remove_all_extents<T const volatile[]> { typedef typename boost::remove_all_extents<T const volatile>::type type; };
+}
+       
+namespace boost {
+namespace detail {
+template <typename T, bool is_vol>
+struct remove_const_helper
+{
+    typedef T type;
+};
+template <typename T>
+struct remove_const_helper<T, true>
+{
+    typedef T volatile type;
+};
+template <typename T>
+struct remove_const_impl
+{
+    typedef typename remove_const_helper<
+          typename cv_traits_imp<T*>::unqualified_type
+        , ::boost::is_volatile<T>::value
+        >::type type;
+};
+}
+template< typename T > struct remove_const { typedef typename boost::detail::remove_const_impl<T>::type type; };
+template< typename T > struct remove_const<T&> { typedef T& type; };
+template< typename T, std::size_t N > struct remove_const<T const[N]> { typedef T type[N]; };
+template< typename T, std::size_t N > struct remove_const<T const volatile[N]> { typedef T volatile type[N]; };
+}
+namespace boost {
+template< typename T > struct remove_pointer { typedef T type; };
+template< typename T > struct remove_pointer<T*> { typedef T type; };
+template< typename T > struct remove_pointer<T* const> { typedef T type; };
+template< typename T > struct remove_pointer<T* volatile> { typedef T type; };
+template< typename T > struct remove_pointer<T* const volatile> { typedef T type; };
+}
+       
+namespace boost {
+namespace detail {
+template <typename T, bool is_const>
+struct remove_volatile_helper
+{
+    typedef T type;
+};
+template <typename T>
+struct remove_volatile_helper<T,true>
+{
+    typedef T const type;
+};
+template <typename T>
+struct remove_volatile_impl
+{
+    typedef typename remove_volatile_helper<
+          typename cv_traits_imp<T*>::unqualified_type
+        , ::boost::is_const<T>::value
+        >::type type;
+};
+}
+template< typename T > struct remove_volatile { typedef typename boost::detail::remove_volatile_impl<T>::type type; };
+template< typename T > struct remove_volatile<T&> { typedef T& type; };
+template< typename T, std::size_t N > struct remove_volatile<T volatile[N]> { typedef T type[N]; };
+template< typename T, std::size_t N > struct remove_volatile<T const volatile[N]> { typedef T const type[N]; };
+}
+namespace boost { namespace mpl { namespace aux {
+template< typename T > struct value_type_wknd
+{
+    typedef typename T::value_type type;
+};
+}}}
+namespace mpl_ {
+struct void_;
+}
+namespace boost { namespace mpl { using ::mpl_::void_; } }
+namespace mpl_ {
+struct na
+{
+    typedef na type;
+    enum { value = 0 };
+};
+}
+namespace boost { namespace mpl { using ::mpl_::na; } }
+namespace boost { namespace mpl {
+template< typename T >
+struct is_na
+    : false_
+{
+};
+template<>
+struct is_na<na>
+    : true_
+{
+};
+template< typename T >
+struct is_not_na
+    : true_
+{
+};
+template<>
+struct is_not_na<na>
+    : false_
+{
+};
+template< typename T, typename U > struct if_na
+{
+    typedef T type;
+};
+template< typename U > struct if_na<na,U>
+{
+    typedef U type;
+};
+}}
+namespace boost { namespace mpl {
+template<
+      typename T = na
+    , typename Tag = void_
+    , typename Arity = int_< aux::template_arity<T>::value >
+    >
+struct lambda;
+}}
+namespace boost { namespace mpl {
+template<
+      bool C
+    , typename T1
+    , typename T2
+    >
+struct if_c
+{
+    typedef T1 type;
+};
+template<
+      typename T1
+    , typename T2
+    >
+struct if_c<false,T1,T2>
+{
+    typedef T2 type;
+};
+template<
+      typename T1 = na
+    , typename T2 = na
+    , typename T3 = na
+    >
+struct if_
+{
+ private:
+    typedef if_c<
+          static_cast<bool>(T1::value)
+        , T2
+        , T3
+        > almost_type_;
+ public:
+    typedef typename almost_type_::type type;
+   
+};
+template<> struct if_< na , na , na > { template< typename T1 , typename T2 , typename T3 , typename T4 =na , typename T5 =na > struct apply : if_< T1 , T2 , T3 > { }; }; template< typename Tag > struct lambda< if_< na , na , na > , Tag , int_<-1> > { typedef false_ is_le; typedef if_< na , na , na > result_; typedef if_< na , na , na > type; }; namespace aux { template< typename T1 , typename T2 , typename T3 > struct template_arity< if_< T1 , T2 , T3 > > : int_<3> { }; template<> struct template_arity< if_< na , na , na > > : int_<-1> { }; }
+}}
+namespace boost{
+template <bool x> struct STATIC_ASSERTION_FAILURE;
+template <> struct STATIC_ASSERTION_FAILURE<true> { enum { value = 1 }; };
+template<int x> struct static_assert_test{};
+}
+       
+namespace boost {
+namespace detail {
+class alignment_dummy;
+typedef void (*function_ptr)();
+typedef int (alignment_dummy::*member_ptr);
+typedef int (alignment_dummy::*member_function_ptr)();
+template <bool found, std::size_t target, class TestType>
+struct lower_alignment_helper
+{
+    typedef char type;
+    enum { value = true };
+};
+template <std::size_t target, class TestType>
+struct lower_alignment_helper<false,target,TestType>
+{
+    enum { value = (alignment_of<TestType>::value == target) };
+    typedef typename mpl::if_c<value, TestType, char>::type type;
+};
+template <typename T>
+struct has_one_T
+{
+  T data;
+};
+template <std::size_t target>
+union lower_alignment
+{
+    enum { found0 = false };
+    typename lower_alignment_helper< found0,target,char >::type t0; enum { found1 = lower_alignment_helper<found0,target,char >::value }; typename lower_alignment_helper< found1,target,short >::type t1; enum { found2 = lower_alignment_helper<found1,target,short >::value }; typename lower_alignment_helper< found2,target,int >::type t2; enum { found3 = lower_alignment_helper<found2,target,int >::value }; typename lower_alignment_helper< found3,target,long >::type t3; enum { found4 = lower_alignment_helper<found3,target,long >::value }; typename lower_alignment_helper< found4,target,::boost::long_long_type >::type t4; enum { found5 = lower_alignment_helper<found4,target,::boost::long_long_type >::value }; typename lower_alignment_helper< found5,target,float >::type t5; enum { found6 = lower_alignment_helper<found5,target,float >::value }; typename lower_alignment_helper< found6,target,double >::type t6; enum { found7 = lower_alignment_helper<found6,target,double >::value }; typename lower_alignment_helper< fou
nd7,target,long double >::type t7; enum { found8 = lower_alignment_helper<found7,target,long double >::value }; typename lower_alignment_helper< found8,target,void* >::type t8; enum { found9 = lower_alignment_helper<found8,target,void* >::value }; typename lower_alignment_helper< found9,target,function_ptr >::type t9; enum { found10 = lower_alignment_helper<found9,target,function_ptr >::value }; typename lower_alignment_helper< found10,target,member_ptr >::type t10; enum { found11 = lower_alignment_helper<found10,target,member_ptr >::value }; typename lower_alignment_helper< found11,target,member_function_ptr >::type t11; enum { found12 = lower_alignment_helper<found11,target,member_function_ptr >::value }; typename lower_alignment_helper< found12,target,boost::detail::has_one_T< char > >::type t12; enum { found13 = lower_alignment_helper<found12,target,boost::detail::has_one_T< char > >::value }; typename lower_alignment_helper< found13,target,boost::detail::has_one_T< short > >::type t13; enum { found14 = 
lower_alignment_helper<found13,target,boost::detail::has_one_T< short > >::value }; typename lower_alignment_helper< found14,target,boost::detail::has_one_T< int > >::type t14; enum { found15 = lower_alignment_helper<found14,target,boost::detail::has_one_T< int > >::value }; typename lower_alignment_helper< found15,target,boost::detail::has_one_T< long > >::type t15; enum { found16 = lower_alignment_helper<found15,target,boost::detail::has_one_T< long > >::value }; typename lower_alignment_helper< found16,target,boost::detail::has_one_T< ::boost::long_long_type > >::type t16; enum { found17 = lower_alignment_helper<found16,target,boost::detail::has_one_T< ::boost::long_long_type > >::value }; typename lower_alignment_helper< found17,target,boost::detail::has_one_T< float > >::type t17; enum { found18 = lower_alignment_helper<found17,target,boost::detail::has_one_T< float > >::value }; typename lower_alignment_helper< found18,target,boost::detail::has_one_T< double > >::type t18; enum { found19 = lower_alignm
ent_helper<found18,target,boost::detail::has_one_T< double > >::value }; typename lower_alignment_helper< found19,target,boost::detail::has_one_T< long double > >::type t19; enum { found20 = lower_alignment_helper<found19,target,boost::detail::has_one_T< long double > >::value }; typename lower_alignment_helper< found20,target,boost::detail::has_one_T< void* > >::type t20; enum { found21 = lower_alignment_helper<found20,target,boost::detail::has_one_T< void* > >::value }; typename lower_alignment_helper< found21,target,boost::detail::has_one_T< function_ptr > >::type t21; enum { found22 = lower_alignment_helper<found21,target,boost::detail::has_one_T< function_ptr > >::value }; typename lower_alignment_helper< found22,target,boost::detail::has_one_T< member_ptr > >::type t22; enum { found23 = lower_alignment_helper<found22,target,boost::detail::has_one_T< member_ptr > >::value }; typename lower_alignment_helper< found23,target,boost::detail::has_one_T< member_function_ptr > >::type t23; enum { found24 = lowe
r_alignment_helper<found23,target,boost::detail::has_one_T< member_function_ptr > >::value };
+};
+union max_align
+{
+    char t0; short t1; int t2; long t3; ::boost::long_long_type t4; float t5; double t6; long double t7; void* t8; function_ptr t9; member_ptr t10; member_function_ptr t11; boost::detail::has_one_T< char > t12; boost::detail::has_one_T< short > t13; boost::detail::has_one_T< int > t14; boost::detail::has_one_T< long > t15; boost::detail::has_one_T< ::boost::long_long_type > t16; boost::detail::has_one_T< float > t17; boost::detail::has_one_T< double > t18; boost::detail::has_one_T< long double > t19; boost::detail::has_one_T< void* > t20; boost::detail::has_one_T< function_ptr > t21; boost::detail::has_one_T< member_ptr > t22; boost::detail::has_one_T< member_function_ptr > t23;
+};
+template<std::size_t TAlign, std::size_t Align>
+struct is_aligned
+{
+    static const bool value = (TAlign >= Align) & (TAlign % Align == 0);
+};
+}
+template<std::size_t Align>
+struct is_pod< ::boost::detail::lower_alignment<Align> >
+{
+        static const std::size_t value = true;
+};
+namespace detail{
+template <std::size_t Align>
+class type_with_alignment_imp
+{
+    typedef ::boost::detail::lower_alignment<Align> t1;
+    typedef typename mpl::if_c<
+          ::boost::detail::is_aligned< ::boost::alignment_of<t1>::value,Align >::value
+        , t1
+        , ::boost::detail::max_align
+        >::type align_t;
+    static const std::size_t found = alignment_of<align_t>::value;
+    typedef ::boost::static_assert_test< sizeof(::boost::STATIC_ASSERTION_FAILURE< ((found >= Align) == 0 ? false : true) >)> boost_static_assert_typedef_206;
+    typedef ::boost::static_assert_test< sizeof(::boost::STATIC_ASSERTION_FAILURE< ((found % Align == 0) == 0 ? false : true) >)> boost_static_assert_typedef_207;
+ public:
+    typedef align_t type;
+};
+}
+template <std::size_t Align>
+class type_with_alignment
+  : public ::boost::detail::type_with_alignment_imp<Align>
+{
+};
+namespace align {
+struct __attribute__((__aligned__(2))) a2 {};
+struct __attribute__((__aligned__(4))) a4 {};
+struct __attribute__((__aligned__(8))) a8 {};
+struct __attribute__((__aligned__(16))) a16 {};
+struct __attribute__((__aligned__(32))) a32 {};
+}
+template<> class type_with_alignment<1> { public: typedef char type; };
+template<> class type_with_alignment<2> { public: typedef align::a2 type; };
+template<> class type_with_alignment<4> { public: typedef align::a4 type; };
+template<> class type_with_alignment<8> { public: typedef align::a8 type; };
+template<> class type_with_alignment<16> { public: typedef align::a16 type; };
+template<> class type_with_alignment<32> { public: typedef align::a32 type; };
+namespace detail {
+template<> struct is_pod_impl< ::boost::align::a2 > { static const bool value = (true); };
+template<> struct is_pod_impl< ::boost::align::a4 > { static const bool value = (true); };
+template<> struct is_pod_impl< ::boost::align::a8 > { static const bool value = (true); };
+template<> struct is_pod_impl< ::boost::align::a16 > { static const bool value = (true); };
+template<> struct is_pod_impl< ::boost::align::a32 > { static const bool value = (true); };
+}
+}
+namespace boost {
+namespace detail {
+template<typename Function> struct function_traits_helper;
+template<typename R>
+struct function_traits_helper<R (*)(void)>
+{
+  static const unsigned arity = 0;
+  typedef R result_type;
+};
+template<typename R, typename T1>
+struct function_traits_helper<R (*)(T1)>
+{
+  static const unsigned arity = 1;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T1 argument_type;
+};
+template<typename R, typename T1, typename T2>
+struct function_traits_helper<R (*)(T1, T2)>
+{
+  static const unsigned arity = 2;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T1 first_argument_type;
+  typedef T2 second_argument_type;
+};
+template<typename R, typename T1, typename T2, typename T3>
+struct function_traits_helper<R (*)(T1, T2, T3)>
+{
+  static const unsigned arity = 3;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4>
+struct function_traits_helper<R (*)(T1, T2, T3, T4)>
+{
+  static const unsigned arity = 4;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4,
+         typename T5>
+struct function_traits_helper<R (*)(T1, T2, T3, T4, T5)>
+{
+  static const unsigned arity = 5;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+  typedef T5 arg5_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4,
+         typename T5, typename T6>
+struct function_traits_helper<R (*)(T1, T2, T3, T4, T5, T6)>
+{
+  static const unsigned arity = 6;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+  typedef T5 arg5_type;
+  typedef T6 arg6_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4,
+         typename T5, typename T6, typename T7>
+struct function_traits_helper<R (*)(T1, T2, T3, T4, T5, T6, T7)>
+{
+  static const unsigned arity = 7;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+  typedef T5 arg5_type;
+  typedef T6 arg6_type;
+  typedef T7 arg7_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4,
+         typename T5, typename T6, typename T7, typename T8>
+struct function_traits_helper<R (*)(T1, T2, T3, T4, T5, T6, T7, T8)>
+{
+  static const unsigned arity = 8;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+  typedef T5 arg5_type;
+  typedef T6 arg6_type;
+  typedef T7 arg7_type;
+  typedef T8 arg8_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4,
+         typename T5, typename T6, typename T7, typename T8, typename T9>
+struct function_traits_helper<R (*)(T1, T2, T3, T4, T5, T6, T7, T8, T9)>
+{
+  static const unsigned arity = 9;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+  typedef T5 arg5_type;
+  typedef T6 arg6_type;
+  typedef T7 arg7_type;
+  typedef T8 arg8_type;
+  typedef T9 arg9_type;
+};
+template<typename R, typename T1, typename T2, typename T3, typename T4,
+         typename T5, typename T6, typename T7, typename T8, typename T9,
+         typename T10>
+struct function_traits_helper<R (*)(T1, T2, T3, T4, T5, T6, T7, T8, T9, T10)>
+{
+  static const unsigned arity = 10;
+  typedef R result_type;
+  typedef T1 arg1_type;
+  typedef T2 arg2_type;
+  typedef T3 arg3_type;
+  typedef T4 arg4_type;
+  typedef T5 arg5_type;
+  typedef T6 arg6_type;
+  typedef T7 arg7_type;
+  typedef T8 arg8_type;
+  typedef T9 arg9_type;
+  typedef T10 arg10_type;
+};
+}
+template<typename Function>
+struct function_traits :
+   public detail::function_traits_helper<typename boost::add_pointer<Function>::type>
+{
+};
+}
+       
+namespace boost { namespace mpl {
+template<
+      typename C = na
+    , typename F1 = na
+    , typename F2 = na
+    >
+struct eval_if
+{
+    typedef typename if_<C,F1,F2>::type f_;
+    typedef typename f_::type type;
+   
+};
+template<
+      bool C
+    , typename F1
+    , typename F2
+    >
+struct eval_if_c
+{
+    typedef typename if_c<C,F1,F2>::type f_;
+    typedef typename f_::type type;
+};
+template<> struct eval_if< na , na , na > { template< typename T1 , typename T2 , typename T3 , typename T4 =na , typename T5 =na > struct apply : eval_if< T1 , T2 , T3 > { }; }; template< typename Tag > struct lambda< eval_if< na , na , na > , Tag , int_<-1> > { typedef false_ is_le; typedef eval_if< na , na , na > result_; typedef eval_if< na , na , na > type; }; namespace aux { template< typename T1 , typename T2 , typename T3 > struct template_arity< eval_if< T1 , T2 , T3 > > : int_<3> { }; template<> struct template_arity< eval_if< na , na , na > > : int_<-1> { }; }
+}}
+namespace boost { namespace mpl {
+template<
+      typename T = na
+    >
+struct identity
+{
+    typedef T type;
+   
+};
+template<
+      typename T = na
+    >
+struct make_identity
+{
+    typedef identity<T> type;
+   
+};
+template<> struct identity< na > { template< typename T1 , typename T2 =na , typename T3 =na , typename T4 =na , typename T5 =na > struct apply : identity< T1 > { }; }; template< typename Tag > struct lambda< identity< na > , Tag , int_<-1> > { typedef false_ is_le; typedef identity< na > result_; typedef identity< na > type; }; namespace aux { template< typename T1 > struct template_arity< identity< T1 > > : int_<1> { }; template<> struct template_arity< identity< na > > : int_<-1> { }; }
+template<> struct make_identity< na > { template< typename T1 , typename T2 =na , typename T3 =na , typename T4 =na , typename T5 =na > struct apply : make_identity< T1 > { }; }; template< typename Tag > struct lambda< make_identity< na > , Tag , int_<-1> > { typedef false_ is_le; typedef make_identity< na > result_; typedef make_identity< na > type; }; namespace aux { template< typename T1 > struct template_arity< make_identity< T1 > > : int_<1> { }; template<> struct template_arity< make_identity< na > > : int_<-1> { }; }
+}}
+namespace boost {
+namespace detail { namespace aligned_storage {
+static const std::size_t alignment_of_max_align = ::boost::alignment_of<max_align>::value;
+template <
+      std::size_t size_
+    , std::size_t alignment_
+>
+struct aligned_storage_imp
+{
+    union data_t
+    {
+        char buf[size_];
+        typename mpl::eval_if_c<
+              alignment_ == std::size_t(-1)
+            , mpl::identity<detail::max_align>
+            , type_with_alignment<alignment_>
+            >::type align_;
+    } data_;
+    void* address() const { return const_cast<aligned_storage_imp*>(this); }
+};
+template< std::size_t alignment_ >
+struct aligned_storage_imp<0u,alignment_>
+{
+    void* address() const { return 0; }
+};
+}}
+template <
+      std::size_t size_
+    , std::size_t alignment_ = std::size_t(-1)
+>
+class aligned_storage :
+   private
+   detail::aligned_storage::aligned_storage_imp<size_, alignment_>
+{
+public:
+    typedef detail::aligned_storage::aligned_storage_imp<size_, alignment_> type;
+    static const std::size_t size = size_;
+    static const std::size_t alignment = ( alignment_ == std::size_t(-1) ? ::boost::detail::aligned_storage::alignment_of_max_align : alignment_ );
+private:
+    aligned_storage(const aligned_storage&);
+    aligned_storage& operator=(const aligned_storage&);
+public:
+    aligned_storage()
+    {
+    }
+    ~aligned_storage()
+    {
+    }
+public:
+    void* address()
+    {
+        return static_cast<type*>(this)->address();
+    }
+    const void* address() const
+    {
+        return static_cast<const type*>(this)->address();
+    }
+};
+template <std::size_t size_, std::size_t alignment_>
+struct is_pod<boost::detail::aligned_storage::aligned_storage_imp<size_,alignment_> >
+   : ::boost::integral_constant<bool,true>
+{
+   
+};
+}
+namespace boost {
+namespace type_traits { namespace detail {
+template<class T>
+struct floating_point_promotion
+{
+    typedef T type;
+};
+template<>
+struct floating_point_promotion<float>
+{
+    typedef double type;
+};
+template<>
+struct floating_point_promotion<float const>
+{
+    typedef double const type;
+};
+template<>
+struct floating_point_promotion<float volatile>
+{
+    typedef double volatile type;
+};
+template<>
+struct floating_point_promotion<float const volatile>
+{
+    typedef double const volatile type;
+};
+} }
+template< typename T > struct floating_point_promotion { typedef typename boost::type_traits::detail::floating_point_promotion<T>::type type; };
+}
+namespace boost {
+namespace type_traits { namespace detail {
+template <class T> struct need_promotion : boost::is_enum<T> {};
+template<> struct need_promotion<char > : true_type {};
+template<> struct need_promotion<signed char > : true_type {};
+template<> struct need_promotion<unsigned char > : true_type {};
+template<> struct need_promotion<signed short int > : true_type {};
+template<> struct need_promotion<unsigned short int> : true_type {};
+template<> struct need_promotion<boost::ulong_long_type> : integral_constant<bool, (sizeof(boost::ulong_long_type) < sizeof(int))> {};
+template<> struct need_promotion<boost::long_long_type> : integral_constant<bool, (sizeof(boost::long_long_type) < sizeof(int))> {};
+template<> struct need_promotion<wchar_t> : true_type {};
+template<> struct need_promotion<bool> : true_type {};
+template<int Index, int IsConst, int IsVolatile> struct promote_from_index;
+template<> struct promote_from_index<1,0,0> { typedef int type; }; template<> struct promote_from_index<1,0,1> { typedef int volatile type; }; template<> struct promote_from_index<1,1,0> { typedef int const type; }; template<> struct promote_from_index<1,1,1> { typedef int const volatile type; };
+template<> struct promote_from_index<2,0,0> { typedef unsigned int type; }; template<> struct promote_from_index<2,0,1> { typedef unsigned int volatile type; }; template<> struct promote_from_index<2,1,0> { typedef unsigned int const type; }; template<> struct promote_from_index<2,1,1> { typedef unsigned int const volatile type; };
+template<> struct promote_from_index<3,0,0> { typedef long type; }; template<> struct promote_from_index<3,0,1> { typedef long volatile type; }; template<> struct promote_from_index<3,1,0> { typedef long const type; }; template<> struct promote_from_index<3,1,1> { typedef long const volatile type; };
+template<> struct promote_from_index<4,0,0> { typedef unsigned long type; }; template<> struct promote_from_index<4,0,1> { typedef unsigned long volatile type; }; template<> struct promote_from_index<4,1,0> { typedef unsigned long const type; }; template<> struct promote_from_index<4,1,1> { typedef unsigned long const volatile type; };
+template<> struct promote_from_index<5,0,0> { typedef boost::long_long_type type; }; template<> struct promote_from_index<5,0,1> { typedef boost::long_long_type volatile type; }; template<> struct promote_from_index<5,1,0> { typedef boost::long_long_type const type; }; template<> struct promote_from_index<5,1,1> { typedef boost::long_long_type const volatile type; };
+template<> struct promote_from_index<6,0,0> { typedef boost::ulong_long_type type; }; template<> struct promote_from_index<6,0,1> { typedef boost::ulong_long_type volatile type; }; template<> struct promote_from_index<6,1,0> { typedef boost::ulong_long_type const type; }; template<> struct promote_from_index<6,1,1> { typedef boost::ulong_long_type const volatile type; };
+template<int N>
+struct sized_type_for_promotion
+{
+    typedef char (&type)[N];
+};
+sized_type_for_promotion<1>::type promoted_index_tester(int);
+sized_type_for_promotion<2>::type promoted_index_tester(unsigned int);
+sized_type_for_promotion<3>::type promoted_index_tester(long);
+sized_type_for_promotion<4>::type promoted_index_tester(unsigned long);
+sized_type_for_promotion<5>::type promoted_index_tester(boost::long_long_type);
+sized_type_for_promotion<6>::type promoted_index_tester(boost::ulong_long_type);
+template<class T>
+struct promoted_index
+{
+    static T testee;
+    static const int value = sizeof(promoted_index_tester(+testee));
+};
+template<class T>
+struct integral_promotion_impl
+{
+    typedef typename promote_from_index<
+        (boost::type_traits::detail::promoted_index<T>::value)
+      , (boost::is_const<T>::value)
+      , (boost::is_volatile<T>::value)
+      >::type type;
+};
+template<class T>
+struct integral_promotion
+  : boost::mpl::eval_if<
+        need_promotion<typename remove_cv<T>::type>
+      , integral_promotion_impl<T>
+      , boost::mpl::identity<T>
+      >
+{
+};
+} }
+template< typename T > struct integral_promotion { typedef typename boost::type_traits::detail::integral_promotion<T>::type type; };
+}
+namespace boost {
+namespace detail {
+template<class T>
+struct promote_impl
+  : integral_promotion<
+        typename floating_point_promotion<T>::type
+      >
+{
+};
+}
+template< typename T > struct promote { typedef typename boost::detail::promote_impl<T>::type type; };
+}
+namespace boost {
+namespace detail {
+template <class T>
+struct make_unsigned_imp
+{
+   typedef ::boost::static_assert_test< sizeof(::boost::STATIC_ASSERTION_FAILURE< (((::boost::type_traits::ice_or< ::boost::is_integral<T>::value, ::boost::is_enum<T>::value>::value)) == 0 ? false : true) >)> boost_static_assert_typedef_39;
+   typedef ::boost::static_assert_test< sizeof(::boost::STATIC_ASSERTION_FAILURE< (((::boost::type_traits::ice_not< ::boost::is_same< typename remove_cv<T>::type, bool>::value>::value)) == 0 ? false : true) >)> boost_static_assert_typedef_43;
+   typedef typename remove_cv<T>::type t_no_cv;
+   typedef typename mpl::if_c<
+      (::boost::type_traits::ice_and<
+         ::boost::is_unsigned<T>::value,
+         ::boost::is_integral<T>::value,
+         ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, char>::value>::value,
+         ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, wchar_t>::value>::value,
+         ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, bool>::value>::value >::value),
+      T,
+      typename mpl::if_c<
+         (::boost::type_traits::ice_and<
+            ::boost::is_integral<T>::value,
+            ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, char>::value>::value,
+            ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, wchar_t>::value>::value,
+            ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, bool>::value>::value>
+         ::value),
+         typename mpl::if_<
+            is_same<t_no_cv, signed char>,
+            unsigned char,
+            typename mpl::if_<
+               is_same<t_no_cv, short>,
+               unsigned short,
+               typename mpl::if_<
+                  is_same<t_no_cv, int>,
+                  unsigned int,
+                  typename mpl::if_<
+                     is_same<t_no_cv, long>,
+                     unsigned long,
+                     boost::ulong_long_type
+                  >::type
+               >::type
+            >::type
+         >::type,
+         typename mpl::if_c<
+            sizeof(t_no_cv) == sizeof(unsigned char),
+            unsigned char,
+            typename mpl::if_c<
+               sizeof(t_no_cv) == sizeof(unsigned short),
+               unsigned short,
+               typename mpl::if_c<
+                  sizeof(t_no_cv) == sizeof(unsigned int),
+                  unsigned int,
+                  typename mpl::if_c<
+                     sizeof(t_no_cv) == sizeof(unsigned long),
+                     unsigned long,
+                     boost::ulong_long_type
+                  >::type
+               >::type
+            >::type
+         >::type
+      >::type
+   >::type base_integer_type;
+   typedef typename mpl::if_<
+      is_const<T>,
+      typename add_const<base_integer_type>::type,
+      base_integer_type
+   >::type const_base_integer_type;
+   typedef typename mpl::if_<
+      is_volatile<T>,
+      typename add_volatile<const_base_integer_type>::type,
+      const_base_integer_type
+   >::type type;
+};
+}
+template< typename T > struct make_unsigned { typedef typename boost::detail::make_unsigned_imp<T>::type type; };
+}
+namespace boost {
+namespace detail {
+template <class T>
+struct make_signed_imp
+{
+   typedef ::boost::static_assert_test< sizeof(::boost::STATIC_ASSERTION_FAILURE< (((::boost::type_traits::ice_or< ::boost::is_integral<T>::value, ::boost::is_enum<T>::value>::value)) == 0 ? false : true) >)> boost_static_assert_typedef_39;
+   typedef ::boost::static_assert_test< sizeof(::boost::STATIC_ASSERTION_FAILURE< (((::boost::type_traits::ice_not< ::boost::is_same< typename remove_cv<T>::type, bool>::value>::value)) == 0 ? false : true) >)> boost_static_assert_typedef_43;
+   typedef typename remove_cv<T>::type t_no_cv;
+   typedef typename mpl::if_c<
+      (::boost::type_traits::ice_and<
+         ::boost::is_signed<T>::value,
+         ::boost::is_integral<T>::value,
+         ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, char>::value>::value,
+         ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, wchar_t>::value>::value,
+         ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, bool>::value>::value >::value),
+      T,
+      typename mpl::if_c<
+         (::boost::type_traits::ice_and<
+            ::boost::is_integral<T>::value,
+            ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, char>::value>::value,
+            ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, wchar_t>::value>::value,
+            ::boost::type_traits::ice_not< ::boost::is_same<t_no_cv, bool>::value>::value>
+         ::value),
+         typename mpl::if_<
+            is_same<t_no_cv, unsigned char>,
+            signed char,
+            typename mpl::if_<
+               is_same<t_no_cv, unsigned short>,
+               signed short,
+               typename mpl::if_<
+                  is_same<t_no_cv, unsigned int>,
+                  int,
+                  typename mpl::if_<
+                     is_same<t_no_cv, unsigned long>,
+                     long,
+                     boost::long_long_type
+                  >::type
+               >::type
+            >::type
+         >::type,
+         typename mpl::if_c<
+            sizeof(t_no_cv) == sizeof(unsigned char),
+            signed char,
+            typename mpl::if_c<
+               sizeof(t_no_cv) == sizeof(unsigned short),
+               signed short,
+               typename mpl::if_c<
+                  sizeof(t_no_cv) == sizeof(unsigned int),
+                  int,
+                  typename mpl::if_c<
+                     sizeof(t_no_cv) == sizeof(unsigned long),
+                     long,
+                     boost::long_long_type
+                  >::type
+               >::type
+            >::type
+         >::type
+      >::type
+   >::type base_integer_type;
+   typedef typename mpl::if_<
+      is_const<T>,
+      typename add_const<base_integer_type>::type,
+      base_integer_type
+   >::type const_base_integer_type;
+   typedef typename mpl::if_<
+      is_volatile<T>,
+      typename add_volatile<const_base_integer_type>::type,
+      const_base_integer_type
+   >::type type;
+};
+}
+template< typename T > struct make_signed { typedef typename boost::detail::make_signed_imp<T>::type type; };
+}
+namespace boost
+{
+    template< class T >
+    struct decay
+    {
+    private:
+        typedef typename remove_reference<T>::type Ty;
+    public:
+        typedef typename mpl::eval_if<
+            is_array<Ty>,
+            mpl::identity<typename remove_bounds<Ty>::type*>,
+            typename mpl::eval_if<
+                is_function<Ty>,
+                add_pointer<Ty>,
+                mpl::identity<Ty>
+            >
+        >::type type;
+    };
+}
+       
+       
+namespace __gnu_cxx {
+  template<typename _Iterator, typename _Container>
+    class __normal_iterator;
+}
+namespace std {
+  struct __true_type { };
+  struct __false_type { };
+  template<bool>
+    struct __truth_type
+    { typedef __false_type __type; };
+  template<>
+    struct __truth_type<true>
+    { typedef __true_type __type; };
+  template<class _Sp, class _Tp>
+    struct __traitor
+    {
+      enum { __value = bool(_Sp::__value) || bool(_Tp::__value) };
+      typedef typename __truth_type<__value>::__type __type;
+    };
+  template<class _Sp, class _Tp>
+    struct __traitand
+    {
+      enum { __value = bool(_Sp::__value) && bool(_Tp::__value) };
+      typedef typename __truth_type<__value>::__type __type;
+    };
+  template<typename, typename>
+    struct __are_same
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<typename _Tp>
+    struct __are_same<_Tp, _Tp>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_void
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<>
+    struct __is_void<void>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_integer
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<>
+    struct __is_integer<bool>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<signed char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<unsigned char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<wchar_t>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<short>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<unsigned short>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<int>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<unsigned int>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<long>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<unsigned long>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<long long>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_integer<unsigned long long>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_floating
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<>
+    struct __is_floating<float>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_floating<double>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_floating<long double>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_pointer
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<typename _Tp>
+    struct __is_pointer<_Tp*>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_normal_iterator
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<typename _Iterator, typename _Container>
+    struct __is_normal_iterator< __gnu_cxx::__normal_iterator<_Iterator,
+             _Container> >
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_arithmetic
+    : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
+    { };
+  template<typename _Tp>
+    struct __is_fundamental
+    : public __traitor<__is_void<_Tp>, __is_arithmetic<_Tp> >
+    { };
+  template<typename _Tp>
+    struct __is_scalar
+    : public __traitor<__is_arithmetic<_Tp>, __is_pointer<_Tp> >
+    { };
+  template<typename _Tp>
+    struct __is_char
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<>
+    struct __is_char<char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_char<wchar_t>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_byte
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+  template<>
+    struct __is_byte<char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_byte<signed char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<>
+    struct __is_byte<unsigned char>
+    {
+      enum { __value = 1 };
+      typedef __true_type __type;
+    };
+  template<typename _Tp>
+    struct __is_move_iterator
+    {
+      enum { __value = 0 };
+      typedef __false_type __type;
+    };
+}
+       
+namespace __gnu_cxx {
+  template<bool, typename>
+    struct __enable_if
+    { };
+  template<typename _Tp>
+    struct __enable_if<true, _Tp>
+    { typedef _Tp __type; };
+  template<bool _Cond, typename _Iftrue, typename _Iffalse>
+    struct __conditional_type
+    { typedef _Iftrue __type; };
+  template<typename _Iftrue, typename _Iffalse>
+    struct __conditional_type<false, _Iftrue, _Iffalse>
+    { typedef _Iffalse __type; };
+  template<typename _Tp>
+    struct __add_unsigned
+    {
+    private:
+      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;
+    public:
+      typedef typename __if_type::__type __type;
+    };
+  template<>
+    struct __add_unsigned<char>
+    { typedef unsigned char __type; };
+  template<>
+    struct __add_unsigned<signed char>
+    { typedef unsigned char __type; };
+  template<>
+    struct __add_unsigned<short>
+    { typedef unsigned short __type; };
+  template<>
+    struct __add_unsigned<int>
+    { typedef unsigned int __type; };
+  template<>
+    struct __add_unsigned<long>
+    { typedef unsigned long __type; };
+  template<>
+    struct __add_unsigned<long long>
+    { typedef unsigned long long __type; };
+  template<>
+    struct __add_unsigned<bool>;
+  template<>
+    struct __add_unsigned<wchar_t>;
+  template<typename _Tp>
+    struct __remove_unsigned
+    {
+    private:
+      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;
+    public:
+      typedef typename __if_type::__type __type;
+    };
+  template<>
+    struct __remove_unsigned<char>
+    { typedef signed char __type; };
+  template<>
+    struct __remove_unsigned<unsigned char>
+    { typedef signed char __type; };
+  template<>
+    struct __remove_unsigned<unsigned short>
+    { typedef short __type; };
+  template<>
+    struct __remove_unsigned<unsigned int>
+    { typedef int __type; };
+  template<>
+    struct __remove_unsigned<unsigned long>
+    { typedef long __type; };
+  template<>
+    struct __remove_unsigned<unsigned long long>
+    { typedef long long __type; };
+  template<>
+    struct __remove_unsigned<bool>;
+  template<>
+    struct __remove_unsigned<wchar_t>;
+  template<typename _Type>
+    inline bool
+    __is_null_pointer(_Type* __ptr)
+    { return __ptr == 0; }
+  template<typename _Type>
+    inline bool
+    __is_null_pointer(_Type)
+    { return false; }
+  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
+    struct __promote
+    { typedef double __type; };
+  template<typename _Tp>
+    struct __promote<_Tp, false>
+    { typedef _Tp __type; };
+  template<typename _Tp, typename _Up>
+    struct __promote_2
+    {
+    private:
+      typedef typename __promote<_Tp>::__type __type1;
+      typedef typename __promote<_Up>::__type __type2;
+    public:
+      typedef __typeof__(__type1() + __type2()) __type;
+    };
+  template<typename _Tp, typename _Up, typename _Vp>
+    struct __promote_3
+    {
+    private:
+      typedef typename __promote<_Tp>::__type __type1;
+      typedef typename __promote<_Up>::__type __type2;
+      typedef typename __promote<_Vp>::__type __type3;
+    public:
+      typedef __typeof__(__type1() + __type2() + __type3()) __type;
+    };
+  template<typename _Tp, typename _Up, typename _Vp, typename _Wp>
+    struct __promote_4
+    {
+    private:
+      typedef typename __promote<_Tp>::__type __type1;
+      typedef typename __promote<_Up>::__type __type2;
+      typedef typename __promote<_Vp>::__type __type3;
+      typedef typename __promote<_Wp>::__type __type4;
+    public:
+      typedef __typeof__(__type1() + __type2() + __type3() + __type4()) __type;
+    };
+}
+       
+extern "C" {
+typedef unsigned long __ULong;
+struct _reent;
+struct _Bigint
+{
+  struct _Bigint *_next;
+  int _k, _maxwds, _sign, _wds;
+  __ULong _x[1];
+};
+struct __tm
+{
+  int __tm_sec;
+  int __tm_min;
+  int __tm_hour;
+  int __tm_mday;
+  int __tm_mon;
+  int __tm_year;
+  int __tm_wday;
+  int __tm_yday;
+  int __tm_isdst;
+};
+struct _on_exit_args {
+ void * _fnargs[32];
+ void * _dso_handle[32];
+ __ULong _fntypes;
+ __ULong _is_cxa;
+};
+struct _atexit {
+ struct _atexit *_next;
+ int _ind;
+ void (*_fns[32])(void);
+        struct _on_exit_args _on_exit_args;
+};
+struct __sbuf {
+ unsigned char *_base;
+ int _size;
+};
+struct __sFILE {
+  unsigned char *_p;
+  int _r;
+  int _w;
+  short _flags;
+  short _file;
+  struct __sbuf _bf;
+  int _lbfsize;
+  void * _cookie;
+  _ssize_t (__attribute__((__cdecl__)) * _read) (struct _reent *, void *, char *, int);
+  _ssize_t (__attribute__((__cdecl__)) * _write) (struct _reent *, void *, const char *, int);
+  _fpos_t (__attribute__((__cdecl__)) * _seek) (struct _reent *, void *, _fpos_t, int);
+  int (__attribute__((__cdecl__)) * _close) (struct _reent *, void *);
+  struct __sbuf _ub;
+  unsigned char *_up;
+  int _ur;
+  unsigned char _ubuf[3];
+  unsigned char _nbuf[1];
+  struct __sbuf _lb;
+  int _blksize;
+  int _offset;
+  struct _reent *_data;
+  _flock_t _lock;
+  _mbstate_t _mbstate;
+  int _flags2;
+};
+struct __sFILE64 {
+  unsigned char *_p;
+  int _r;
+  int _w;
+  short _flags;
+  short _file;
+  struct __sbuf _bf;
+  int _lbfsize;
+  struct _reent *_data;
+  void * _cookie;
+  _ssize_t (__attribute__((__cdecl__)) * _read) (struct _reent *, void *, char *, int);
+  _ssize_t (__attribute__((__cdecl__)) * _write) (struct _reent *, void *, const char *, int);
+  _fpos_t (__attribute__((__cdecl__)) * _seek) (struct _reent *, void *, _fpos_t, int);
+  int (__attribute__((__cdecl__)) * _close) (struct _reent *, void *);
+  struct __sbuf _ub;
+  unsigned char *_up;
+  int _ur;
+  unsigned char _ubuf[3];
+  unsigned char _nbuf[1];
+  struct __sbuf _lb;
+  int _blksize;
+  int _flags2;
+  _off64_t _offset;
+  _fpos64_t (__attribute__((__cdecl__)) * _seek64) (struct _reent *, void *, _fpos64_t, int);
+  _flock_t _lock;
+  _mbstate_t _mbstate;
+};
+typedef struct __sFILE64 __FILE;
+struct _glue
+{
+  struct _glue *_next;
+  int _niobs;
+  __FILE *_iobs;
+};
+struct _rand48 {
+  unsigned short _seed[3];
+  unsigned short _mult[3];
+  unsigned short _add;
+};
+struct _reent
+{
+  int _errno;
+  __FILE *_stdin, *_stdout, *_stderr;
+  int _inc;
+  char _emergency[25];
+  int _current_category;
+  const char *_current_locale;
+  int __sdidinit;
+  void (__attribute__((__cdecl__)) * __cleanup) (struct _reent *);
+  struct _Bigint *_result;
+  int _result_k;
+  struct _Bigint *_p5s;
+  struct _Bigint **_freelist;
+  int _cvtlen;
+  char *_cvtbuf;
+  union
+    {
+      struct
+        {
+          unsigned int _unused_rand;
+          char * _strtok_last;
+          char _asctime_buf[26];
+          struct __tm _localtime_buf;
+          int _gamma_signgam;
+          __extension__ unsigned long long _rand_next;
+          struct _rand48 _r48;
+          _mbstate_t _mblen_state;
+          _mbstate_t _mbtowc_state;
+          _mbstate_t _wctomb_state;
+          char _l64a_buf[8];
+          char _signal_buf[24];
+          int _getdate_err;
+          _mbstate_t _mbrlen_state;
+          _mbstate_t _mbrtowc_state;
+          _mbstate_t _mbsrtowcs_state;
+          _mbstate_t _wcrtomb_state;
+          _mbstate_t _wcsrtombs_state;
+   int _h_errno;
+        } _reent;
+      struct
+        {
+          unsigned char * _nextf[30];
+          unsigned int _nmalloc[30];
+        } _unused;
+    } _new;
+  struct _atexit *_atexit;
+  struct _atexit _atexit0;
+  void (**(_sig_func))(int);
+  struct _glue __sglue;
+  __FILE __sf[3];
+};
+extern struct _reent *_impure_ptr ;
+extern struct _reent *const _global_impure_ptr ;
+void _reclaim_reent (struct _reent *);
+  struct _reent * __attribute__((__cdecl__)) __getreent (void);
+}
+extern "C" {
+union __dmath
+{
+  double d;
+  __ULong i[2];
+};
+union __fmath
+{
+  float f;
+  __ULong i[1];
+};
+union __ldmath
+{
+  long double ld;
+  __ULong i[4];
+};
+extern double atan (double);
+extern double cos (double);
+extern double sin (double);
+extern double tan (double);
+extern double tanh (double);
+extern double frexp (double, int *);
+extern double modf (double, double *);
+extern double ceil (double);
+extern double fabs (double);
+extern double floor (double);
+extern double acos (double);
+extern double asin (double);
+extern double atan2 (double, double);
+extern double cosh (double);
+extern double sinh (double);
+extern double exp (double);
+extern double ldexp (double, int);
+extern double log (double);
+extern double log10 (double);
+extern double pow (double, double);
+extern double sqrt (double);
+extern double fmod (double, double);
+typedef float float_t;
+typedef double double_t;
+extern int __isinff (float x);
+extern int __isinfd (double x);
+extern int __isnanf (float x);
+extern int __isnand (double x);
+extern int __fpclassifyf (float x);
+extern int __fpclassifyd (double x);
+extern int __signbitf (float x);
+extern int __signbitd (double x);
+extern double infinity (void);
+extern double nan (const char *);
+extern int finite (double);
+extern double copysign (double, double);
+extern double logb (double);
+extern int ilogb (double);
+extern double asinh (double);
+extern double cbrt (double);
+extern double nextafter (double, double);
+extern double rint (double);
+extern double scalbn (double, int);
+extern double exp2 (double);
+extern double scalbln (double, long int);
+extern double tgamma (double);
+extern double nearbyint (double);
+extern long int lrint (double);
+extern long long int llrint (double);
+extern double round (double);
+extern long int lround (double);
+extern long long int llround (double);
+extern double trunc (double);
+extern double remquo (double, double, int *);
+extern double fdim (double, double);
+extern double fmax (double, double);
+extern double fmin (double, double);
+extern double fma (double, double, double);
+extern double log1p (double);
+extern double expm1 (double);
+extern double acosh (double);
+extern double atanh (double);
+extern double remainder (double, double);
+extern double gamma (double);
+extern double lgamma (double);
+extern double erf (double);
+extern double erfc (double);
+extern double log2 (double);
+extern double hypot (double, double);
+extern float atanf (float);
+extern float cosf (float);
+extern float sinf (float);
+extern float tanf (float);
+extern float tanhf (float);
+extern float frexpf (float, int *);
+extern float modff (float, float *);
+extern float ceilf (float);
+extern float fabsf (float);
+extern float floorf (float);
+extern float acosf (float);
+extern float asinf (float);
+extern float atan2f (float, float);
+extern float coshf (float);
+extern float sinhf (float);
+extern float expf (float);
+extern float ldexpf (float, int);
+extern float logf (float);
+extern float log10f (float);
+extern float powf (float, float);
+extern float sqrtf (float);
+extern float fmodf (float, float);
+extern float exp2f (float);
+extern float scalblnf (float, long int);
+extern float tgammaf (float);
+extern float nearbyintf (float);
+extern long int lrintf (float);
+extern long long llrintf (float);
+extern float roundf (float);
+extern long int lroundf (float);
+extern long long int llroundf (float);
+extern float truncf (float);
+extern float remquof (float, float, int *);
+extern float fdimf (float, float);
+extern float fmaxf (float, float);
+extern float fminf (float, float);
+extern float fmaf (float, float, float);
+extern float infinityf (void);
+extern float nanf (const char *);
+extern int finitef (float);
+extern float copysignf (float, float);
+extern float logbf (float);
+extern int ilogbf (float);
+extern float asinhf (float);
+extern float cbrtf (float);
+extern float nextafterf (float, float);
+extern float rintf (float);
+extern float scalbnf (float, int);
+extern float log1pf (float);
+extern float expm1f (float);
+extern float acoshf (float);
+extern float atanhf (float);
+extern float remainderf (float, float);
+extern float gammaf (float);
+extern float lgammaf (float);
+extern float erff (float);
+extern float erfcf (float);
+extern float log2f (float);
+extern float hypotf (float, float);
+extern long double rintl (long double);
+extern long int lrintl (long double);
+extern long long llrintl (long double);
+extern double cabs();
+extern double drem (double, double);
+extern void sincos (double, double *, double *);
+extern double gamma_r (double, int *);
+extern double lgamma_r (double, int *);
+extern double y0 (double);
+extern double y1 (double);
+extern double yn (int, double);
+extern double j0 (double);
+extern double j1 (double);
+extern double jn (int, double);
+extern float cabsf();
+extern float dremf (float, float);
+extern void sincosf (float, float *, float *);
+extern float gammaf_r (float, int *);
+extern float lgammaf_r (float, int *);
+extern float y0f (float);
+extern float y1f (float);
+extern float ynf (int, float);
+extern float j0f (float);
+extern float j1f (float);
+extern float jnf (int, float);
+extern double exp10 (double);
+extern double pow10 (double);
+extern float exp10f (float);
+extern float pow10f (float);
+extern int *__signgam (void);
+struct __exception
+{
+  int type;
+  char *name;
+  double arg1;
+  double arg2;
+  double retval;
+  int err;
+};
+extern int matherr (struct __exception *e);
+enum __fdlibm_version
+{
+  __fdlibm_ieee = -1,
+  __fdlibm_svid,
+  __fdlibm_xopen,
+  __fdlibm_posix
+};
+extern __attribute__((dllimport)) enum __fdlibm_version __fdlib_version;
+}
+namespace std {
+  template<typename _Tp>
+    _Tp __cmath_power(_Tp, unsigned int);
+  template<typename _Tp>
+    inline _Tp
+    __pow_helper(_Tp __x, int __n)
+    {
+      return __n < 0
+        ? _Tp(1)/__cmath_power(__x, -__n)
+        : __cmath_power(__x, __n);
+    }
+  inline double
+  abs(double __x)
+  { return __builtin_fabs(__x); }
+  inline float
+  abs(float __x)
+  { return __builtin_fabsf(__x); }
+  inline long double
+  abs(long double __x)
+  { return __builtin_fabsl(__x); }
+  using ::acos;
+  inline float
+  acos(float __x)
+  { return __builtin_acosf(__x); }
+  inline long double
+  acos(long double __x)
+  { return __builtin_acosl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    acos(_Tp __x)
+    { return __builtin_acos(__x); }
+  using ::asin;
+  inline float
+  asin(float __x)
+  { return __builtin_asinf(__x); }
+  inline long double
+  asin(long double __x)
+  { return __builtin_asinl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    asin(_Tp __x)
+    { return __builtin_asin(__x); }
+  using ::atan;
+  inline float
+  atan(float __x)
+  { return __builtin_atanf(__x); }
+  inline long double
+  atan(long double __x)
+  { return __builtin_atanl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    atan(_Tp __x)
+    { return __builtin_atan(__x); }
+  using ::atan2;
+  inline float
+  atan2(float __y, float __x)
+  { return __builtin_atan2f(__y, __x); }
+  inline long double
+  atan2(long double __y, long double __x)
+  { return __builtin_atan2l(__y, __x); }
+  template<typename _Tp, typename _Up>
+    inline
+    typename __gnu_cxx::__promote_2<
+    typename __gnu_cxx::__enable_if<__traitand<__is_arithmetic<_Tp>,
+            __is_arithmetic<_Up> >::__value,
+        _Tp>::__type, _Up>::__type
+    atan2(_Tp __y, _Up __x)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return atan2(__type(__y), __type(__x));
+    }
+  using ::ceil;
+  inline float
+  ceil(float __x)
+  { return __builtin_ceilf(__x); }
+  inline long double
+  ceil(long double __x)
+  { return __builtin_ceill(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    ceil(_Tp __x)
+    { return __builtin_ceil(__x); }
+  using ::cos;
+  inline float
+  cos(float __x)
+  { return __builtin_cosf(__x); }
+  inline long double
+  cos(long double __x)
+  { return __builtin_cosl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    cos(_Tp __x)
+    { return __builtin_cos(__x); }
+  using ::cosh;
+  inline float
+  cosh(float __x)
+  { return __builtin_coshf(__x); }
+  inline long double
+  cosh(long double __x)
+  { return __builtin_coshl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    cosh(_Tp __x)
+    { return __builtin_cosh(__x); }
+  using ::exp;
+  inline float
+  exp(float __x)
+  { return __builtin_expf(__x); }
+  inline long double
+  exp(long double __x)
+  { return __builtin_expl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    exp(_Tp __x)
+    { return __builtin_exp(__x); }
+  using ::fabs;
+  inline float
+  fabs(float __x)
+  { return __builtin_fabsf(__x); }
+  inline long double
+  fabs(long double __x)
+  { return __builtin_fabsl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    fabs(_Tp __x)
+    { return __builtin_fabs(__x); }
+  using ::floor;
+  inline float
+  floor(float __x)
+  { return __builtin_floorf(__x); }
+  inline long double
+  floor(long double __x)
+  { return __builtin_floorl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    floor(_Tp __x)
+    { return __builtin_floor(__x); }
+  using ::fmod;
+  inline float
+  fmod(float __x, float __y)
+  { return __builtin_fmodf(__x, __y); }
+  inline long double
+  fmod(long double __x, long double __y)
+  { return __builtin_fmodl(__x, __y); }
+  using ::frexp;
+  inline float
+  frexp(float __x, int* __exp)
+  { return __builtin_frexpf(__x, __exp); }
+  inline long double
+  frexp(long double __x, int* __exp)
+  { return __builtin_frexpl(__x, __exp); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    frexp(_Tp __x, int* __exp)
+    { return __builtin_frexp(__x, __exp); }
+  using ::ldexp;
+  inline float
+  ldexp(float __x, int __exp)
+  { return __builtin_ldexpf(__x, __exp); }
+  inline long double
+  ldexp(long double __x, int __exp)
+  { return __builtin_ldexpl(__x, __exp); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+  ldexp(_Tp __x, int __exp)
+  { return __builtin_ldexp(__x, __exp); }
+  using ::log;
+  inline float
+  log(float __x)
+  { return __builtin_logf(__x); }
+  inline long double
+  log(long double __x)
+  { return __builtin_logl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    log(_Tp __x)
+    { return __builtin_log(__x); }
+  using ::log10;
+  inline float
+  log10(float __x)
+  { return __builtin_log10f(__x); }
+  inline long double
+  log10(long double __x)
+  { return __builtin_log10l(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    log10(_Tp __x)
+    { return __builtin_log10(__x); }
+  using ::modf;
+  inline float
+  modf(float __x, float* __iptr)
+  { return __builtin_modff(__x, __iptr); }
+  inline long double
+  modf(long double __x, long double* __iptr)
+  { return __builtin_modfl(__x, __iptr); }
+  using ::pow;
+  inline float
+  pow(float __x, float __y)
+  { return __builtin_powf(__x, __y); }
+  inline long double
+  pow(long double __x, long double __y)
+  { return __builtin_powl(__x, __y); }
+  inline double
+  pow(double __x, int __i)
+  { return __builtin_powi(__x, __i); }
+  inline float
+  pow(float __x, int __n)
+  { return __builtin_powif(__x, __n); }
+  inline long double
+  pow(long double __x, int __n)
+  { return __builtin_powil(__x, __n); }
+  template<typename _Tp, typename _Up>
+    inline
+    typename __gnu_cxx::__promote_2<
+    typename __gnu_cxx::__enable_if<__traitand<__is_arithmetic<_Tp>,
+            __is_arithmetic<_Up> >::__value,
+        _Tp>::__type, _Up>::__type
+    pow(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return pow(__type(__x), __type(__y));
+    }
+  using ::sin;
+  inline float
+  sin(float __x)
+  { return __builtin_sinf(__x); }
+  inline long double
+  sin(long double __x)
+  { return __builtin_sinl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    sin(_Tp __x)
+    { return __builtin_sin(__x); }
+  using ::sinh;
+  inline float
+  sinh(float __x)
+  { return __builtin_sinhf(__x); }
+  inline long double
+  sinh(long double __x)
+  { return __builtin_sinhl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    sinh(_Tp __x)
+    { return __builtin_sinh(__x); }
+  using ::sqrt;
+  inline float
+  sqrt(float __x)
+  { return __builtin_sqrtf(__x); }
+  inline long double
+  sqrt(long double __x)
+  { return __builtin_sqrtl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    sqrt(_Tp __x)
+    { return __builtin_sqrt(__x); }
+  using ::tan;
+  inline float
+  tan(float __x)
+  { return __builtin_tanf(__x); }
+  inline long double
+  tan(long double __x)
+  { return __builtin_tanl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    tan(_Tp __x)
+    { return __builtin_tan(__x); }
+  using ::tanh;
+  inline float
+  tanh(float __x)
+  { return __builtin_tanhf(__x); }
+  inline long double
+  tanh(long double __x)
+  { return __builtin_tanhl(__x); }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
+        double>::__type
+    tanh(_Tp __x)
+    { return __builtin_tanh(__x); }
+}
+namespace __gnu_cxx {
+  template<typename _Tp>
+    inline int
+    __capture_fpclassify(_Tp __f) { return ((sizeof(__f) == sizeof(float)) ? __fpclassifyf(__f) : __fpclassifyd(__f)); }
+}
+namespace std {
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    fpclassify(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return ::__gnu_cxx::__capture_fpclassify(__type(__f));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isfinite(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isfinite(__type(__f));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isinf(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isinf(__type(__f));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isnan(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isnan(__type(__f));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isnormal(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isnormal(__type(__f));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    signbit(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_signbit(__type(__f));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isgreater(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isgreater(__type(__f1), __type(__f2));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isgreaterequal(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isgreaterequal(__type(__f1), __type(__f2));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isless(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isless(__type(__f1), __type(__f2));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    islessequal(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_islessequal(__type(__f1), __type(__f2));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    islessgreater(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_islessgreater(__type(__f1), __type(__f2));
+    }
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+        int>::__type
+    isunordered(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isunordered(__type(__f1), __type(__f2));
+    }
+}
+namespace std {
+  template<typename _Tp>
+    inline _Tp
+    __cmath_power(_Tp __x, unsigned int __n)
+    {
+      _Tp __y = __n % 2 ? __x : _Tp(1);
+      while (__n >>= 1)
+        {
+          __x = __x * __x;
+          if (__n % 2)
+            __y = __y * __x;
+        }
+      return __y;
+    }
+}
+       
+       
+       
+       
+       
+namespace std {
+  template<typename _Alloc>
+    class allocator;
+  template<class _CharT>
+    struct char_traits;
+  template<typename _CharT, typename _Traits = char_traits<_CharT>,
+           typename _Alloc = allocator<_CharT> >
+    class basic_string;
+  template<> struct char_traits<char>;
+  typedef basic_string<char> string;
+  template<> struct char_traits<wchar_t>;
+  typedef basic_string<wchar_t> wstring;
+}
+       
+       
+       
+typedef __builtin_va_list __gnuc_va_list;
+extern "C" {
+struct tm;
+typedef _mbstate_t mbstate_t;
+wint_t __attribute__((__cdecl__)) btowc (int);
+int __attribute__((__cdecl__)) wctob (wint_t);
+size_t __attribute__((__cdecl__)) mbrlen (const char * , size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) mbrtowc (wchar_t * , const char * , size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) _mbrtowc_r (struct _reent *, wchar_t * , const char * , size_t, mbstate_t *);
+int __attribute__((__cdecl__)) mbsinit (const mbstate_t *);
+size_t __attribute__((__cdecl__)) mbsnrtowcs (wchar_t * , const char ** , size_t, size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) _mbsnrtowcs_r (struct _reent *, wchar_t * , const char ** , size_t, size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) mbsrtowcs (wchar_t * , const char ** , size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) _mbsrtowcs_r (struct _reent *, wchar_t * , const char ** , size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) wcrtomb (char * , wchar_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) _wcrtomb_r (struct _reent *, char * , wchar_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) wcsnrtombs (char * , const wchar_t ** , size_t, size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) _wcsnrtombs_r (struct _reent *, char * , const wchar_t ** , size_t, size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) wcsrtombs (char * , const wchar_t ** , size_t, mbstate_t *);
+size_t __attribute__((__cdecl__)) _wcsrtombs_r (struct _reent *, char * , const wchar_t ** , size_t, mbstate_t *);
+int __attribute__((__cdecl__)) wcscasecmp (const wchar_t *, const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcscat (wchar_t * , const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcschr (const wchar_t *, wchar_t);
+int __attribute__((__cdecl__)) wcscmp (const wchar_t *, const wchar_t *);
+int __attribute__((__cdecl__)) wcscoll (const wchar_t *, const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcscpy (wchar_t * , const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcpcpy (wchar_t * , const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcsdup (const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) _wcsdup_r (struct _reent *, const wchar_t * );
+size_t __attribute__((__cdecl__)) wcscspn (const wchar_t *, const wchar_t *);
+size_t __attribute__((__cdecl__)) wcsftime (wchar_t *, size_t, const wchar_t *, const struct tm *);
+size_t __attribute__((__cdecl__)) wcslcat (wchar_t *, const wchar_t *, size_t);
+size_t __attribute__((__cdecl__)) wcslcpy (wchar_t *, const wchar_t *, size_t);
+size_t __attribute__((__cdecl__)) wcslen (const wchar_t *);
+int __attribute__((__cdecl__)) wcsncasecmp (const wchar_t *, const wchar_t *, size_t);
+wchar_t *__attribute__((__cdecl__)) wcsncat (wchar_t * , const wchar_t * , size_t);
+int __attribute__((__cdecl__)) wcsncmp (const wchar_t *, const wchar_t *, size_t);
+wchar_t *__attribute__((__cdecl__)) wcsncpy (wchar_t * , const wchar_t * , size_t);
+wchar_t *__attribute__((__cdecl__)) wcpncpy (wchar_t * , const wchar_t * , size_t);
+size_t __attribute__((__cdecl__)) wcsnlen (const wchar_t *, size_t);
+wchar_t *__attribute__((__cdecl__)) wcspbrk (const wchar_t *, const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcsrchr (const wchar_t *, wchar_t);
+size_t __attribute__((__cdecl__)) wcsspn (const wchar_t *, const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcsstr (const wchar_t *, const wchar_t *);
+wchar_t *__attribute__((__cdecl__)) wcstok (wchar_t *, const wchar_t *, wchar_t **);
+double __attribute__((__cdecl__)) wcstod (const wchar_t *, wchar_t **);
+double __attribute__((__cdecl__)) _wcstod_r (struct _reent *, const wchar_t *, wchar_t **);
+float __attribute__((__cdecl__)) wcstof (const wchar_t *, wchar_t **);
+float __attribute__((__cdecl__)) _wcstof_r (struct _reent *, const wchar_t *, wchar_t **);
+int __attribute__((__cdecl__)) wcswidth (const wchar_t *, size_t);
+size_t __attribute__((__cdecl__)) wcsxfrm (wchar_t *, const wchar_t *, size_t);
+int __attribute__((__cdecl__)) wcwidth (const wchar_t);
+wchar_t *__attribute__((__cdecl__)) wmemchr (const wchar_t *, wchar_t, size_t);
+int __attribute__((__cdecl__)) wmemcmp (const wchar_t *, const wchar_t *, size_t);
+wchar_t *__attribute__((__cdecl__)) wmemcpy (wchar_t * , const wchar_t * , size_t);
+wchar_t *__attribute__((__cdecl__)) wmemmove (wchar_t *, const wchar_t *, size_t);
+wchar_t *__attribute__((__cdecl__)) wmemset (wchar_t *, wchar_t, size_t);
+long __attribute__((__cdecl__)) wcstol (const wchar_t *, wchar_t **, int);
+long long __attribute__((__cdecl__)) wcstoll (const wchar_t *, wchar_t **, int);
+unsigned long __attribute__((__cdecl__)) wcstoul (const wchar_t *, wchar_t **, int);
+unsigned long long __attribute__((__cdecl__)) wcstoull (const wchar_t *, wchar_t **, int);
+long __attribute__((__cdecl__)) _wcstol_r (struct _reent *, const wchar_t *, wchar_t **, int);
+long long __attribute__((__cdecl__)) _wcstoll_r (struct _reent *, const wchar_t *, wchar_t **, int);
+unsigned long __attribute__((__cdecl__)) _wcstoul_r (struct _reent *, const wchar_t *, wchar_t **, int);
+unsigned long long __attribute__((__cdecl__)) _wcstoull_r (struct _reent *, const wchar_t *, wchar_t **, int);
+wint_t __attribute__((__cdecl__)) fgetwc (__FILE *);
+wchar_t *__attribute__((__cdecl__)) fgetws (wchar_t *, int, __FILE *);
+wint_t __attribute__((__cdecl__)) fputwc (wchar_t, __FILE *);
+int __attribute__((__cdecl__)) fputws (const wchar_t *, __FILE *);
+int __attribute__((__cdecl__)) fwide (__FILE *, int);
+wint_t __attribute__((__cdecl__)) getwc (__FILE *);
+wint_t __attribute__((__cdecl__)) getwchar (void);
+wint_t __attribute__((__cdecl__)) putwc (wchar_t, __FILE *);
+wint_t __attribute__((__cdecl__)) putwchar (wchar_t);
+wint_t __attribute__((__cdecl__)) ungetwc (wint_t wc, __FILE *);
+wint_t __attribute__((__cdecl__)) _fgetwc_r (struct _reent *, __FILE *);
+wchar_t *__attribute__((__cdecl__)) _fgetws_r (struct _reent *, wchar_t *, int, __FILE *);
+wint_t __attribute__((__cdecl__)) _fputwc_r (struct _reent *, wchar_t, __FILE *);
+int __attribute__((__cdecl__)) _fputws_r (struct _reent *, const wchar_t *, __FILE *);
+int __attribute__((__cdecl__)) _fwide_r (struct _reent *, __FILE *, int);
+wint_t __attribute__((__cdecl__)) _getwc_r (struct _reent *, __FILE *);
+wint_t __attribute__((__cdecl__)) _getwchar_r (struct _reent *ptr);
+wint_t __attribute__((__cdecl__)) _putwc_r (struct _reent *, wchar_t, __FILE *);
+wint_t __attribute__((__cdecl__)) _putwchar_r (struct _reent *, wchar_t);
+wint_t __attribute__((__cdecl__)) _ungetwc_r (struct _reent *, wint_t wc, __FILE *);
+__FILE *__attribute__((__cdecl__)) open_wmemstream (wchar_t **, size_t *);
+__FILE *__attribute__((__cdecl__)) _open_wmemstream_r (struct _reent *, wchar_t **, size_t *);
+int __attribute__((__cdecl__)) fwprintf (__FILE *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) swprintf (wchar_t *, size_t, const wchar_t *, ...);
+int __attribute__((__cdecl__)) vfwprintf (__FILE *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) vswprintf (wchar_t *, size_t, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) vwprintf (const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) wprintf (const wchar_t *, ...);
+int __attribute__((__cdecl__)) _fwprintf_r (struct _reent *, __FILE *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) _swprintf_r (struct _reent *, wchar_t *, size_t, const wchar_t *, ...);
+int __attribute__((__cdecl__)) _vfwprintf_r (struct _reent *, __FILE *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) _vswprintf_r (struct _reent *, wchar_t *, size_t, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) _vwprintf_r (struct _reent *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) _wprintf_r (struct _reent *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) fwscanf (__FILE *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) swscanf (const wchar_t *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) vfwscanf (__FILE *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) vswscanf (const wchar_t *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) vwscanf (const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) wscanf (const wchar_t *, ...);
+int __attribute__((__cdecl__)) _fwscanf_r (struct _reent *, __FILE *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) _swscanf_r (struct _reent *, const wchar_t *, const wchar_t *, ...);
+int __attribute__((__cdecl__)) _vfwscanf_r (struct _reent *, __FILE *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) _vswscanf_r (struct _reent *, const wchar_t *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) _vwscanf_r (struct _reent *, const wchar_t *, __gnuc_va_list);
+int __attribute__((__cdecl__)) _wscanf_r (struct _reent *, const wchar_t *, ...);
+}
+namespace std {
+  using ::mbstate_t;
+}
+namespace std {
+  using ::wint_t;
+  using ::btowc;
+  using ::fgetwc;
+  using ::fgetws;
+  using ::fputwc;
+  using ::fputws;
+  using ::fwide;
+  using ::fwprintf;
+  using ::fwscanf;
+  using ::getwc;
+  using ::getwchar;
+  using ::mbrlen;
+  using ::mbrtowc;
+  using ::mbsinit;
+  using ::mbsrtowcs;
+  using ::putwc;
+  using ::putwchar;
+  using ::swprintf;
+  using ::swscanf;
+  using ::ungetwc;
+  using ::vfwprintf;
+  using ::vfwscanf;
+  using ::vswprintf;
+  using ::vswscanf;
+  using ::vwprintf;
+  using ::vwscanf;
+  using ::wcrtomb;
+  using ::wcscat;
+  using ::wcscmp;
+  using ::wcscoll;
+  using ::wcscpy;
+  using ::wcscspn;
+  using ::wcsftime;
+  using ::wcslen;
+  using ::wcsncat;
+  using ::wcsncmp;
+  using ::wcsncpy;
+  using ::wcsrtombs;
+  using ::wcsspn;
+  using ::wcstod;
+  using ::wcstof;
+  using ::wcstok;
+  using ::wcstol;
+  using ::wcstoul;
+  using ::wcsxfrm;
+  using ::wctob;
+  using ::wmemcmp;
+  using ::wmemcpy;
+  using ::wmemmove;
+  using ::wmemset;
+  using ::wprintf;
+  using ::wscanf;
+  using ::wcschr;
+  inline wchar_t*
+  wcschr(wchar_t* __p, wchar_t __c)
+  { return wcschr(const_cast<const wchar_t*>(__p), __c); }
+  using ::wcspbrk;
+  inline wchar_t*
+  wcspbrk(wchar_t* __s1, const wchar_t* __s2)
+  { return wcspbrk(const_cast<const wchar_t*>(__s1), __s2); }
+  using ::wcsrchr;
+  inline wchar_t*
+  wcsrchr(wchar_t* __p, wchar_t __c)
+  { return wcsrchr(const_cast<const wchar_t*>(__p), __c); }
+  using ::wcsstr;
+  inline wchar_t*
+  wcsstr(wchar_t* __s1, const wchar_t* __s2)
+  { return wcsstr(const_cast<const wchar_t*>(__s1), __s2); }
+  using ::wmemchr;
+  inline wchar_t*
+  wmemchr(wchar_t* __p, wchar_t __c, size_t __n)
+  { return wmemchr(const_cast<const wchar_t*>(__p), __c, __n); }
+}
+namespace std {
+  typedef int64_t streamoff;
+  typedef ptrdiff_t streamsize;
+  template<typename _StateT>
+    class fpos
+    {
+    private:
+      streamoff _M_off;
+      _StateT _M_state;
+    public:
+      fpos()
+      : _M_off(0), _M_state() { }
+      fpos(streamoff __off)
+      : _M_off(__off), _M_state() { }
+      operator streamoff() const { return _M_off; }
+      void
+      state(_StateT __st)
+      { _M_state = __st; }
+      _StateT
+      state() const
+      { return _M_state; }
+      fpos&
+      operator+=(streamoff __off)
+      {
+ _M_off += __off;
+ return *this;
+      }
+      fpos&
+      operator-=(streamoff __off)
+      {
+ _M_off -= __off;
+ return *this;
+      }
+      fpos
+      operator+(streamoff __off) const
+      {
+ fpos __pos(*this);
+ __pos += __off;
+ return __pos;
+      }
+      fpos
+      operator-(streamoff __off) const
+      {
+ fpos __pos(*this);
+ __pos -= __off;
+ return __pos;
+      }
+      streamoff
+      operator-(const fpos& __other) const
+      { return _M_off - __other._M_off; }
+    };
+  template<typename _StateT>
+    inline bool
+    operator==(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
+    { return streamoff(__lhs) == streamoff(__rhs); }
+  template<typename _StateT>
+    inline bool
+    operator!=(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
+    { return streamoff(__lhs) != streamoff(__rhs); }
+  typedef fpos<mbstate_t> streampos;
+  typedef fpos<mbstate_t> wstreampos;
+}
+namespace std {
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_ios;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_streambuf;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_istream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_ostream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_iostream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT>,
+     typename _Alloc = allocator<_CharT> >
+    class basic_stringbuf;
+  template<typename _CharT, typename _Traits = char_traits<_CharT>,
+    typename _Alloc = allocator<_CharT> >
+    class basic_istringstream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT>,
+    typename _Alloc = allocator<_CharT> >
+    class basic_ostringstream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT>,
+    typename _Alloc = allocator<_CharT> >
+    class basic_stringstream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_filebuf;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_ifstream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_ofstream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class basic_fstream;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class istreambuf_iterator;
+  template<typename _CharT, typename _Traits = char_traits<_CharT> >
+    class ostreambuf_iterator;
+  class ios_base;
+  typedef basic_ios<char> ios;
+  typedef basic_streambuf<char> streambuf;
+  typedef basic_istream<char> istream;
+  typedef basic_ostream<char> ostream;
+  typedef basic_iostream<char> iostream;
+  typedef basic_stringbuf<char> stringbuf;
+  typedef basic_istringstream<char> istringstream;
+  typedef basic_ostringstream<char> ostringstream;
+  typedef basic_stringstream<char> stringstream;
+  typedef basic_filebuf<char> filebuf;
+  typedef basic_ifstream<char> ifstream;
+  typedef basic_ofstream<char> ofstream;
+  typedef basic_fstream<char> fstream;
+  typedef basic_ios<wchar_t> wios;
+  typedef basic_streambuf<wchar_t> wstreambuf;
+  typedef basic_istream<wchar_t> wistream;
+  typedef basic_ostream<wchar_t> wostream;
+  typedef basic_iostream<wchar_t> wiostream;
+  typedef basic_stringbuf<wchar_t> wstringbuf;
+  typedef basic_istringstream<wchar_t> wistringstream;
+  typedef basic_ostringstream<wchar_t> wostringstream;
+  typedef basic_stringstream<wchar_t> wstringstream;
+  typedef basic_filebuf<wchar_t> wfilebuf;
+  typedef basic_ifstream<wchar_t> wifstream;
+  typedef basic_ofstream<wchar_t> wofstream;
+  typedef basic_fstream<wchar_t> wfstream;
+}
+#pragma GCC visibility push(default)
+extern "C++" {
+namespace std
+{
+  class exception
+  {
+  public:
+    exception() throw() { }
+    virtual ~exception() throw();
+    virtual const char* what() const throw();
+  };
+  class bad_exception : public exception
+  {
+  public:
+    bad_exception() throw() { }
+    virtual ~bad_exception() throw();
+    virtual const char* what() const throw();
+  };
+  typedef void (*terminate_handler) ();
+  typedef void (*unexpected_handler) ();
+  terminate_handler set_terminate(terminate_handler) throw();
+  void terminate() __attribute__ ((__noreturn__));
+  unexpected_handler set_unexpected(unexpected_handler) throw();
+  void unexpected() __attribute__ ((__noreturn__));
+  bool uncaught_exception() throw();
+}
+namespace __gnu_cxx {
+  void __verbose_terminate_handler ();
+}
+}
+#pragma GCC visibility pop
+       
+       
+namespace std {
+  void
+  __throw_bad_exception(void) __attribute__((__noreturn__));
+  void
+  __throw_bad_alloc(void) __attribute__((__noreturn__));
+  void
+  __throw_bad_cast(void) __attribute__((__noreturn__));
+  void
+  __throw_bad_typeid(void) __attribute__((__noreturn__));
+  void
+  __throw_logic_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_domain_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_invalid_argument(const char*) __attribute__((__noreturn__));
+  void
+  __throw_length_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_out_of_range(const char*) __attribute__((__noreturn__));
+  void
+  __throw_runtime_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_range_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_overflow_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_underflow_error(const char*) __attribute__((__noreturn__));
+  void
+  __throw_ios_failure(const char*) __attribute__((__noreturn__));
+}
+       
+namespace __gnu_cxx {
+  template<typename _Value>
+    struct __numeric_traits_integer
+    {
+      static const _Value __min = (((_Value)(-1) < 0) ? (_Value)1 << (sizeof(_Value) * 8 - ((_Value)(-1) < 0)) : (_Value)0);
+      static const _Value __max = (((_Value)(-1) < 0) ? (((((_Value)1 << ((sizeof(_Value) * 8 - ((_Value)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(_Value)0);
+      static const bool __is_signed = ((_Value)(-1) < 0);
+      static const int __digits = (sizeof(_Value) * 8 - ((_Value)(-1) < 0));
+    };
+  template<typename _Value>
+    const _Value __numeric_traits_integer<_Value>::__min;
+  template<typename _Value>
+    const _Value __numeric_traits_integer<_Value>::__max;
+  template<typename _Value>
+    const bool __numeric_traits_integer<_Value>::__is_signed;
+  template<typename _Value>
+    const int __numeric_traits_integer<_Value>::__digits;
+  template<typename _Value>
+    struct __numeric_traits_floating
+    {
+      static const int __max_digits10 = (2 + (std::__are_same<_Value, float>::__value ? 24 : std::__are_same<_Value, double>::__value ? 53 : 64) * 3010 / 10000);
+      static const bool __is_signed = true;
+      static const int __digits10 = (std::__are_same<_Value, float>::__value ? 6 : std::__are_same<_Value, double>::__value ? 15 : 18);
+      static const int __max_exponent10 = (std::__are_same<_Value, float>::__value ? 38 : std::__are_same<_Value, double>::__value ? 308 : 4932);
+    };
+  template<typename _Value>
+    const int __numeric_traits_floating<_Value>::__max_digits10;
+  template<typename _Value>
+    const bool __numeric_traits_floating<_Value>::__is_signed;
+  template<typename _Value>
+    const int __numeric_traits_floating<_Value>::__digits10;
+  template<typename _Value>
+    const int __numeric_traits_floating<_Value>::__max_exponent10;
+  template<typename _Value>
+    struct __numeric_traits
+    : public __conditional_type<std::__is_integer<_Value>::__value,
+    __numeric_traits_integer<_Value>,
+    __numeric_traits_floating<_Value> >::__type
+    { };
+}
+       
+       
+namespace std {
+  struct input_iterator_tag {};
+  struct output_iterator_tag {};
+  struct forward_iterator_tag : public input_iterator_tag {};
+  struct bidirectional_iterator_tag : public forward_iterator_tag {};
+  struct random_access_iterator_tag : public bidirectional_iterator_tag {};
+  template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
+           typename _Pointer = _Tp*, typename _Reference = _Tp&>
+    struct iterator
+    {
+      typedef _Category iterator_category;
+      typedef _Tp value_type;
+      typedef _Distance difference_type;
+      typedef _Pointer pointer;
+      typedef _Reference reference;
+    };
+  template<typename _Iterator>
+    struct iterator_traits
+    {
+      typedef typename _Iterator::iterator_category iterator_category;
+      typedef typename _Iterator::value_type value_type;
+      typedef typename _Iterator::difference_type difference_type;
+      typedef typename _Iterator::pointer pointer;
+      typedef typename _Iterator::reference reference;
+    };
+  template<typename _Tp>
+    struct iterator_traits<_Tp*>
+    {
+      typedef random_access_iterator_tag iterator_category;
+      typedef _Tp value_type;
+      typedef ptrdiff_t difference_type;
+      typedef _Tp* pointer;
+      typedef _Tp& reference;
+    };
+  template<typename _Tp>
+    struct iterator_traits<const _Tp*>
+    {
+      typedef random_access_iterator_tag iterator_category;
+      typedef _Tp value_type;
+      typedef ptrdiff_t difference_type;
+      typedef const _Tp* pointer;
+      typedef const _Tp& reference;
+    };
+  template<typename _Iter>
+    inline typename iterator_traits<_Iter>::iterator_category
+    __iterator_category(const _Iter&)
+    { return typename iterator_traits<_Iter>::iterator_category(); }
+}
+       
+namespace std {
+  template<typename _InputIterator>
+    inline typename iterator_traits<_InputIterator>::difference_type
+    __distance(_InputIterator __first, _InputIterator __last,
+               input_iterator_tag)
+    {
+     
+      typename iterator_traits<_InputIterator>::difference_type __n = 0;
+      while (__first != __last)
+ {
+   ++__first;
+   ++__n;
+ }
+      return __n;
+    }
+  template<typename _RandomAccessIterator>
+    inline typename iterator_traits<_RandomAccessIterator>::difference_type
+    __distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
+               random_access_iterator_tag)
+    {
+     
+      return __last - __first;
+    }
+  template<typename _InputIterator>
+    inline typename iterator_traits<_InputIterator>::difference_type
+    distance(_InputIterator __first, _InputIterator __last)
+    {
+      return std::__distance(__first, __last,
+        std::__iterator_category(__first));
+    }
+  template<typename _InputIterator, typename _Distance>
+    inline void
+    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
+    {
+     
+      while (__n--)
+ ++__i;
+    }
+  template<typename _BidirectionalIterator, typename _Distance>
+    inline void
+    __advance(_BidirectionalIterator& __i, _Distance __n,
+       bidirectional_iterator_tag)
+    {
+     
+      if (__n > 0)
+        while (__n--)
+   ++__i;
+      else
+        while (__n++)
+   --__i;
+    }
+  template<typename _RandomAccessIterator, typename _Distance>
+    inline void
+    __advance(_RandomAccessIterator& __i, _Distance __n,
+              random_access_iterator_tag)
+    {
+     
+      __i += __n;
+    }
+  template<typename _InputIterator, typename _Distance>
+    inline void
+    advance(_InputIterator& __i, _Distance __n)
+    {
+      typename iterator_traits<_InputIterator>::difference_type __d = __n;
+      std::__advance(__i, __d, std::__iterator_category(__i));
+    }
+}
+namespace std {
+  template<typename _Iterator>
+    class reverse_iterator
+    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
+        typename iterator_traits<_Iterator>::value_type,
+        typename iterator_traits<_Iterator>::difference_type,
+        typename iterator_traits<_Iterator>::pointer,
+                      typename iterator_traits<_Iterator>::reference>
+    {
+    protected:
+      _Iterator current;
+    public:
+      typedef _Iterator iterator_type;
+      typedef typename iterator_traits<_Iterator>::difference_type
+              difference_type;
+      typedef typename iterator_traits<_Iterator>::reference reference;
+      typedef typename iterator_traits<_Iterator>::pointer pointer;
+    public:
+      reverse_iterator() : current() { }
+      explicit
+      reverse_iterator(iterator_type __x) : current(__x) { }
+      reverse_iterator(const reverse_iterator& __x)
+      : current(__x.current) { }
+      template<typename _Iter>
+        reverse_iterator(const reverse_iterator<_Iter>& __x)
+ : current(__x.base()) { }
+      iterator_type
+      base() const
+      { return current; }
+      reference
+      operator*() const
+      {
+ _Iterator __tmp = current;
+ return *--__tmp;
+      }
+      pointer
+      operator->() const
+      { return &(operator*()); }
+      reverse_iterator&
+      operator++()
+      {
+ --current;
+ return *this;
+      }
+      reverse_iterator
+      operator++(int)
+      {
+ reverse_iterator __tmp = *this;
+ --current;
+ return __tmp;
+      }
+      reverse_iterator&
+      operator--()
+      {
+ ++current;
+ return *this;
+      }
+      reverse_iterator
+      operator--(int)
+      {
+ reverse_iterator __tmp = *this;
+ ++current;
+ return __tmp;
+      }
+      reverse_iterator
+      operator+(difference_type __n) const
+      { return reverse_iterator(current - __n); }
+      reverse_iterator&
+      operator+=(difference_type __n)
+      {
+ current -= __n;
+ return *this;
+      }
+      reverse_iterator
+      operator-(difference_type __n) const
+      { return reverse_iterator(current + __n); }
+      reverse_iterator&
+      operator-=(difference_type __n)
+      {
+ current += __n;
+ return *this;
+      }
+      reference
+      operator[](difference_type __n) const
+      { return *(*this + __n); }
+    };
+  template<typename _Iterator>
+    inline bool
+    operator==(const reverse_iterator<_Iterator>& __x,
+        const reverse_iterator<_Iterator>& __y)
+    { return __x.base() == __y.base(); }
+  template<typename _Iterator>
+    inline bool
+    operator<(const reverse_iterator<_Iterator>& __x,
+       const reverse_iterator<_Iterator>& __y)
+    { return __y.base() < __x.base(); }
+  template<typename _Iterator>
+    inline bool
+    operator!=(const reverse_iterator<_Iterator>& __x,
+        const reverse_iterator<_Iterator>& __y)
+    { return !(__x == __y); }
+  template<typename _Iterator>
+    inline bool
+    operator>(const reverse_iterator<_Iterator>& __x,
+       const reverse_iterator<_Iterator>& __y)
+    { return __y < __x; }
+  template<typename _Iterator>
+    inline bool
+    operator<=(const reverse_iterator<_Iterator>& __x,
+        const reverse_iterator<_Iterator>& __y)
+    { return !(__y < __x); }
+  template<typename _Iterator>
+    inline bool
+    operator>=(const reverse_iterator<_Iterator>& __x,
+        const reverse_iterator<_Iterator>& __y)
+    { return !(__x < __y); }
+  template<typename _Iterator>
+    inline typename reverse_iterator<_Iterator>::difference_type
+    operator-(const reverse_iterator<_Iterator>& __x,
+       const reverse_iterator<_Iterator>& __y)
+    { return __y.base() - __x.base(); }
+  template<typename _Iterator>
+    inline reverse_iterator<_Iterator>
+    operator+(typename reverse_iterator<_Iterator>::difference_type __n,
+       const reverse_iterator<_Iterator>& __x)
+    { return reverse_iterator<_Iterator>(__x.base() - __n); }
+  template<typename _IteratorL, typename _IteratorR>
+    inline bool
+    operator==(const reverse_iterator<_IteratorL>& __x,
+        const reverse_iterator<_IteratorR>& __y)
+    { return __x.base() == __y.base(); }
+  template<typename _IteratorL, typename _IteratorR>
+    inline bool
+    operator<(const reverse_iterator<_IteratorL>& __x,
+       const reverse_iterator<_IteratorR>& __y)
+    { return __y.base() < __x.base(); }
+  template<typename _IteratorL, typename _IteratorR>
+    inline bool
+    operator!=(const reverse_iterator<_IteratorL>& __x,
+        const reverse_iterator<_IteratorR>& __y)
+    { return !(__x == __y); }
+  template<typename _IteratorL, typename _IteratorR>
+    inline bool
+    operator>(const reverse_iterator<_IteratorL>& __x,
+       const reverse_iterator<_IteratorR>& __y)
+    { return __y < __x; }
+  template<typename _IteratorL, typename _IteratorR>
+    inline bool
+    operator<=(const reverse_iterator<_IteratorL>& __x,
+        const reverse_iterator<_IteratorR>& __y)
+    { return !(__y < __x); }
+  template<typename _IteratorL, typename _IteratorR>
+    inline bool
+    operator>=(const reverse_iterator<_IteratorL>& __x,
+        const reverse_iterator<_IteratorR>& __y)
+    { return !(__x < __y); }
+  template<typename _IteratorL, typename _IteratorR>
+    inline typename reverse_iterator<_IteratorL>::difference_type
+    operator-(const reverse_iterator<_IteratorL>& __x,
+       const reverse_iterator<_IteratorR>& __y)
+    { return __y.base() - __x.base(); }
+  template<typename _Container>
+    class back_insert_iterator
+    : public iterator<output_iterator_tag, void, void, void, void>
+    {
+    protected:
+      _Container* container;
+    public:
+      typedef _Container container_type;
+      explicit
+      back_insert_iterator(_Container& __x) : container(&__x) { }
+      back_insert_iterator&
+      operator=(typename _Container::const_reference __value)
+      {
+ container->push_back(__value);
+ return *this;
+      }
+      back_insert_iterator&
+      operator*()
+      { return *this; }
+      back_insert_iterator&
+      operator++()
+      { return *this; }
+      back_insert_iterator
+      operator++(int)
+      { return *this; }
+    };
+  template<typename _Container>
+    inline back_insert_iterator<_Container>
+    back_inserter(_Container& __x)
+    { return back_insert_iterator<_Container>(__x); }
+  template<typename _Container>
+    class front_insert_iterator
+    : public iterator<output_iterator_tag, void, void, void, void>
+    {
+    protected:
+      _Container* container;
+    public:
+      typedef _Container container_type;
+      explicit front_insert_iterator(_Container& __x) : container(&__x) { }
+      front_insert_iterator&
+      operator=(typename _Container::const_reference __value)
+      {
+ container->push_front(__value);
+ return *this;
+      }
+      front_insert_iterator&
+      operator*()
+      { return *this; }
+      front_insert_iterator&
+      operator++()
+      { return *this; }
+      front_insert_iterator
+      operator++(int)
+      { return *this; }
+    };
+  template<typename _Container>
+    inline front_insert_iterator<_Container>
+    front_inserter(_Container& __x)
+    { return front_insert_iterator<_Container>(__x); }
+  template<typename _Container>
+    class insert_iterator
+    : public iterator<output_iterator_tag, void, void, void, void>
+    {
+    protected:
+      _Container* container;
+      typename _Container::iterator iter;
+    public:
+      typedef _Container container_type;
+      insert_iterator(_Container& __x, typename _Container::iterator __i)
+      : container(&__x), iter(__i) {}
+      insert_iterator&
+      operator=(typename _Container::const_reference __value)
+      {
+ iter = container->insert(iter, __value);
+ ++iter;
+ return *this;
+      }
+      insert_iterator&
+      operator*()
+      { return *this; }
+      insert_iterator&
+      operator++()
+      { return *this; }
+      insert_iterator&
+      operator++(int)
+      { return *this; }
+    };
+  template<typename _Container, typename _Iterator>
+    inline insert_iterator<_Container>
+    inserter(_Container& __x, _Iterator __i)
+    {
+      return insert_iterator<_Container>(__x,
+      typename _Container::iterator(__i));
+    }
+}
+namespace __gnu_cxx {
+  using std::iterator_traits;
+  using std::iterator;
+  template<typename _Iterator, typename _Container>
+    class __normal_iterator
+    {
+    protected:
+      _Iterator _M_current;
+    public:
+      typedef _Iterator iterator_type;
+      typedef typename iterator_traits<_Iterator>::iterator_category
+                                                             iterator_category;
+      typedef typename iterator_traits<_Iterator>::value_type value_type;
+      typedef typename iterator_traits<_Iterator>::difference_type
+                                                             difference_type;
+      typedef typename iterator_traits<_Iterator>::reference reference;
+      typedef typename iterator_traits<_Iterator>::pointer pointer;
+      __normal_iterator() : _M_current(_Iterator()) { }
+      explicit
+      __normal_iterator(const _Iterator& __i) : _M_current(__i) { }
+      template<typename _Iter>
+        __normal_iterator(const __normal_iterator<_Iter,
+     typename __enable_if<
+              (std::__are_same<_Iter, typename _Container::pointer>::__value),
+        _Container>::__type>& __i)
+        : _M_current(__i.base()) { }
+      reference
+      operator*() const
+      { return *_M_current; }
+      pointer
+      operator->() const
+      { return _M_current; }
+      __normal_iterator&
+      operator++()
+      {
+ ++_M_current;
+ return *this;
+      }
+      __normal_iterator
+      operator++(int)
+      { return __normal_iterator(_M_current++); }
+      __normal_iterator&
+      operator--()
+      {
+ --_M_current;
+ return *this;
+      }
+      __normal_iterator
+      operator--(int)
+      { return __normal_iterator(_M_current--); }
+      reference
+      operator[](const difference_type& __n) const
+      { return _M_current[__n]; }
+      __normal_iterator&
+      operator+=(const difference_type& __n)
+      { _M_current += __n; return *this; }
+      __normal_iterator
+      operator+(const difference_type& __n) const
+      { return __normal_iterator(_M_current + __n); }
+      __normal_iterator&
+      operator-=(const difference_type& __n)
+      { _M_current -= __n; return *this; }
+      __normal_iterator
+      operator-(const difference_type& __n) const
+      { return __normal_iterator(_M_current - __n); }
+      const _Iterator&
+      base() const
+      { return _M_current; }
+    };
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline bool
+    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
+        const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() == __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline bool
+    operator==(const __normal_iterator<_Iterator, _Container>& __lhs,
+        const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() == __rhs.base(); }
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline bool
+    operator!=(const __normal_iterator<_IteratorL, _Container>& __lhs,
+        const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() != __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline bool
+    operator!=(const __normal_iterator<_Iterator, _Container>& __lhs,
+        const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() != __rhs.base(); }
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline bool
+    operator<(const __normal_iterator<_IteratorL, _Container>& __lhs,
+       const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() < __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline bool
+    operator<(const __normal_iterator<_Iterator, _Container>& __lhs,
+       const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() < __rhs.base(); }
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline bool
+    operator>(const __normal_iterator<_IteratorL, _Container>& __lhs,
+       const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() > __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline bool
+    operator>(const __normal_iterator<_Iterator, _Container>& __lhs,
+       const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() > __rhs.base(); }
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline bool
+    operator<=(const __normal_iterator<_IteratorL, _Container>& __lhs,
+        const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() <= __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline bool
+    operator<=(const __normal_iterator<_Iterator, _Container>& __lhs,
+        const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() <= __rhs.base(); }
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline bool
+    operator>=(const __normal_iterator<_IteratorL, _Container>& __lhs,
+        const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() >= __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline bool
+    operator>=(const __normal_iterator<_Iterator, _Container>& __lhs,
+        const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() >= __rhs.base(); }
+  template<typename _IteratorL, typename _IteratorR, typename _Container>
+    inline typename __normal_iterator<_IteratorL, _Container>::difference_type
+    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
+       const __normal_iterator<_IteratorR, _Container>& __rhs)
+    { return __lhs.base() - __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline typename __normal_iterator<_Iterator, _Container>::difference_type
+    operator-(const __normal_iterator<_Iterator, _Container>& __lhs,
+       const __normal_iterator<_Iterator, _Container>& __rhs)
+    { return __lhs.base() - __rhs.base(); }
+  template<typename _Iterator, typename _Container>
+    inline __normal_iterator<_Iterator, _Container>
+    operator+(typename __normal_iterator<_Iterator, _Container>::difference_type
+       __n, const __normal_iterator<_Iterator, _Container>& __i)
+    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }
+}
+namespace std
+{
+  namespace __debug { }
+}
+namespace __gnu_debug
+{
+  using namespace std::__debug;
+}
+namespace std {
+  template<bool _BoolType>
+    struct __iter_swap
+    {
+      template<typename _ForwardIterator1, typename _ForwardIterator2>
+        static void
+        iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
+        {
+          typedef typename iterator_traits<_ForwardIterator1>::value_type
+            _ValueType1;
+          _ValueType1 __tmp = (*__a);
+          *__a = (*__b);
+          *__b = (__tmp);
+ }
+    };
+  template<>
+    struct __iter_swap<true>
+    {
+      template<typename _ForwardIterator1, typename _ForwardIterator2>
+        static void
+        iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
+        {
+          swap(*__a, *__b);
+        }
+    };
+  template<typename _ForwardIterator1, typename _ForwardIterator2>
+    inline void
+    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
+    {
+      typedef typename iterator_traits<_ForwardIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_ForwardIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+      typedef typename iterator_traits<_ForwardIterator1>::reference
+ _ReferenceType1;
+      typedef typename iterator_traits<_ForwardIterator2>::reference
+ _ReferenceType2;
+      std::__iter_swap<__are_same<_ValueType1, _ValueType2>::__value
+ && __are_same<_ValueType1&, _ReferenceType1>::__value
+ && __are_same<_ValueType2&, _ReferenceType2>::__value>::
+ iter_swap(__a, __b);
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2>
+    _ForwardIterator2
+    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+  _ForwardIterator2 __first2)
+    {
+     
+     
+      ;
+      for (; __first1 != __last1; ++__first1, ++__first2)
+ std::iter_swap(__first1, __first2);
+      return __first2;
+    }
+  template<typename _Tp>
+    inline const _Tp&
+    min(const _Tp& __a, const _Tp& __b)
+    {
+     
+      if (__b < __a)
+ return __b;
+      return __a;
+    }
+  template<typename _Tp>
+    inline const _Tp&
+    max(const _Tp& __a, const _Tp& __b)
+    {
+     
+      if (__a < __b)
+ return __b;
+      return __a;
+    }
+  template<typename _Tp, typename _Compare>
+    inline const _Tp&
+    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
+    {
+      if (__comp(__b, __a))
+ return __b;
+      return __a;
+    }
+  template<typename _Tp, typename _Compare>
+    inline const _Tp&
+    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
+    {
+      if (__comp(__a, __b))
+ return __b;
+      return __a;
+    }
+  template<typename _Iterator,
+    bool _IsNormal = __is_normal_iterator<_Iterator>::__value>
+    struct __niter_base
+    {
+      static _Iterator
+      __b(_Iterator __it)
+      { return __it; }
+    };
+  template<typename _Iterator>
+    struct __niter_base<_Iterator, true>
+    {
+      static typename _Iterator::iterator_type
+      __b(_Iterator __it)
+      { return __it.base(); }
+    };
+  template<typename _Iterator,
+    bool _IsMove = __is_move_iterator<_Iterator>::__value>
+    struct __miter_base
+    {
+      static _Iterator
+      __b(_Iterator __it)
+      { return __it; }
+    };
+  template<typename _Iterator>
+    struct __miter_base<_Iterator, true>
+    {
+      static typename _Iterator::iterator_type
+      __b(_Iterator __it)
+      { return __it.base(); }
+    };
+  template<bool, bool, typename>
+    struct __copy_move
+    {
+      template<typename _II, typename _OI>
+        static _OI
+        __copy_m(_II __first, _II __last, _OI __result)
+        {
+   for (; __first != __last; ++__result, ++__first)
+     *__result = *__first;
+   return __result;
+ }
+    };
+  template<>
+    struct __copy_move<false, false, random_access_iterator_tag>
+    {
+      template<typename _II, typename _OI>
+        static _OI
+        __copy_m(_II __first, _II __last, _OI __result)
+        {
+   typedef typename iterator_traits<_II>::difference_type _Distance;
+   for(_Distance __n = __last - __first; __n > 0; --__n)
+     {
+       *__result = *__first;
+       ++__first;
+       ++__result;
+     }
+   return __result;
+ }
+    };
+  template<bool _IsMove>
+    struct __copy_move<_IsMove, true, random_access_iterator_tag>
+    {
+      template<typename _Tp>
+        static _Tp*
+        __copy_m(const _Tp* __first, const _Tp* __last, _Tp* __result)
+        {
+   __builtin_memmove(__result, __first,
+       sizeof(_Tp) * (__last - __first));
+   return __result + (__last - __first);
+ }
+    };
+  template<bool _IsMove, typename _II, typename _OI>
+    inline _OI
+    __copy_move_a(_II __first, _II __last, _OI __result)
+    {
+      typedef typename iterator_traits<_II>::value_type _ValueTypeI;
+      typedef typename iterator_traits<_OI>::value_type _ValueTypeO;
+      typedef typename iterator_traits<_II>::iterator_category _Category;
+      const bool __simple = (__is_pod(_ValueTypeI)
+                      && __is_pointer<_II>::__value
+                      && __is_pointer<_OI>::__value
+        && __are_same<_ValueTypeI, _ValueTypeO>::__value);
+      return std::__copy_move<_IsMove, __simple,
+                       _Category>::__copy_m(__first, __last, __result);
+    }
+  template<typename _CharT>
+    struct char_traits;
+  template<typename _CharT, typename _Traits>
+    class istreambuf_iterator;
+  template<typename _CharT, typename _Traits>
+    class ostreambuf_iterator;
+  template<bool _IsMove, typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
+    __copy_move_a2(_CharT*, _CharT*,
+     ostreambuf_iterator<_CharT, char_traits<_CharT> >);
+  template<bool _IsMove, typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
+    __copy_move_a2(const _CharT*, const _CharT*,
+     ostreambuf_iterator<_CharT, char_traits<_CharT> >);
+  template<bool _IsMove, typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+        _CharT*>::__type
+    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
+     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);
+  template<bool _IsMove, typename _II, typename _OI>
+    inline _OI
+    __copy_move_a2(_II __first, _II __last, _OI __result)
+    {
+      return _OI(std::__copy_move_a<_IsMove>
+   (std::__niter_base<_II>::__b(__first),
+    std::__niter_base<_II>::__b(__last),
+    std::__niter_base<_OI>::__b(__result)));
+    }
+  template<typename _II, typename _OI>
+    inline _OI
+    copy(_II __first, _II __last, _OI __result)
+    {
+     
+     
+      ;
+      return (std::__copy_move_a2<__is_move_iterator<_II>::__value>
+       (std::__miter_base<_II>::__b(__first),
+        std::__miter_base<_II>::__b(__last), __result));
+    }
+  template<bool, bool, typename>
+    struct __copy_move_backward
+    {
+      template<typename _BI1, typename _BI2>
+        static _BI2
+        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
+        {
+   while (__first != __last)
+     *--__result = *--__last;
+   return __result;
+ }
+    };
+  template<>
+    struct __copy_move_backward<false, false, random_access_iterator_tag>
+    {
+      template<typename _BI1, typename _BI2>
+        static _BI2
+        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
+        {
+   typename iterator_traits<_BI1>::difference_type __n;
+   for (__n = __last - __first; __n > 0; --__n)
+     *--__result = *--__last;
+   return __result;
+ }
+    };
+  template<bool _IsMove>
+    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
+    {
+      template<typename _Tp>
+        static _Tp*
+        __copy_move_b(const _Tp* __first, const _Tp* __last, _Tp* __result)
+        {
+   const ptrdiff_t _Num = __last - __first;
+   __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
+   return __result - _Num;
+ }
+    };
+  template<bool _IsMove, typename _BI1, typename _BI2>
+    inline _BI2
+    __copy_move_backward_a(_BI1 __first, _BI1 __last, _BI2 __result)
+    {
+      typedef typename iterator_traits<_BI1>::value_type _ValueType1;
+      typedef typename iterator_traits<_BI2>::value_type _ValueType2;
+      typedef typename iterator_traits<_BI1>::iterator_category _Category;
+      const bool __simple = (__is_pod(_ValueType1)
+                      && __is_pointer<_BI1>::__value
+                      && __is_pointer<_BI2>::__value
+        && __are_same<_ValueType1, _ValueType2>::__value);
+      return std::__copy_move_backward<_IsMove, __simple,
+                                _Category>::__copy_move_b(__first,
+         __last,
+         __result);
+    }
+  template<bool _IsMove, typename _BI1, typename _BI2>
+    inline _BI2
+    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
+    {
+      return _BI2(std::__copy_move_backward_a<_IsMove>
+    (std::__niter_base<_BI1>::__b(__first),
+     std::__niter_base<_BI1>::__b(__last),
+     std::__niter_base<_BI2>::__b(__result)));
+    }
+  template<typename _BI1, typename _BI2>
+    inline _BI2
+    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
+    {
+     
+     
+     
+      ;
+      return (std::__copy_move_backward_a2<__is_move_iterator<_BI1>::__value>
+       (std::__miter_base<_BI1>::__b(__first),
+        std::__miter_base<_BI1>::__b(__last), __result));
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    inline typename
+    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
+    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
+       const _Tp& __value)
+    {
+      for (; __first != __last; ++__first)
+ *__first = __value;
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    inline typename
+    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
+    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
+      const _Tp& __value)
+    {
+      const _Tp __tmp = __value;
+      for (; __first != __last; ++__first)
+ *__first = __tmp;
+    }
+  template<typename _Tp>
+    inline typename
+    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
+    __fill_a(_Tp* __first, _Tp* __last, const _Tp& __c)
+    {
+      const _Tp __tmp = __c;
+      __builtin_memset(__first, static_cast<unsigned char>(__tmp),
+         __last - __first);
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    inline void
+    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
+    {
+     
+      ;
+      std::__fill_a(std::__niter_base<_ForwardIterator>::__b(__first),
+      std::__niter_base<_ForwardIterator>::__b(__last), __value);
+    }
+  template<typename _OutputIterator, typename _Size, typename _Tp>
+    inline typename
+    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
+    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
+    {
+      for (; __n > 0; --__n, ++__first)
+ *__first = __value;
+      return __first;
+    }
+  template<typename _OutputIterator, typename _Size, typename _Tp>
+    inline typename
+    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
+    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
+    {
+      const _Tp __tmp = __value;
+      for (; __n > 0; --__n, ++__first)
+ *__first = __tmp;
+      return __first;
+    }
+  template<typename _Size, typename _Tp>
+    inline typename
+    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, _Tp*>::__type
+    __fill_n_a(_Tp* __first, _Size __n, const _Tp& __c)
+    {
+      std::__fill_a(__first, __first + __n, __c);
+      return __first + __n;
+    }
+  template<typename _OI, typename _Size, typename _Tp>
+    inline _OI
+    fill_n(_OI __first, _Size __n, const _Tp& __value)
+    {
+     
+      return _OI(std::__fill_n_a(std::__niter_base<_OI>::__b(__first),
+     __n, __value));
+    }
+  template<bool _BoolType>
+    struct __equal
+    {
+      template<typename _II1, typename _II2>
+        static bool
+        equal(_II1 __first1, _II1 __last1, _II2 __first2)
+        {
+   for (; __first1 != __last1; ++__first1, ++__first2)
+     if (!(*__first1 == *__first2))
+       return false;
+   return true;
+ }
+    };
+  template<>
+    struct __equal<true>
+    {
+      template<typename _Tp>
+        static bool
+        equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
+        {
+   return !__builtin_memcmp(__first1, __first2, sizeof(_Tp)
+       * (__last1 - __first1));
+ }
+    };
+  template<typename _II1, typename _II2>
+    inline bool
+    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
+    {
+      typedef typename iterator_traits<_II1>::value_type _ValueType1;
+      typedef typename iterator_traits<_II2>::value_type _ValueType2;
+      const bool __simple = (__is_integer<_ValueType1>::__value
+                      && __is_pointer<_II1>::__value
+                      && __is_pointer<_II2>::__value
+        && __are_same<_ValueType1, _ValueType2>::__value);
+      return std::__equal<__simple>::equal(__first1, __last1, __first2);
+    }
+  template<typename, typename>
+    struct __lc_rai
+    {
+      template<typename _II1, typename _II2>
+        static _II1
+        __newlast1(_II1, _II1 __last1, _II2, _II2)
+        { return __last1; }
+      template<typename _II>
+        static bool
+        __cnd2(_II __first, _II __last)
+        { return __first != __last; }
+    };
+  template<>
+    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
+    {
+      template<typename _RAI1, typename _RAI2>
+        static _RAI1
+        __newlast1(_RAI1 __first1, _RAI1 __last1,
+     _RAI2 __first2, _RAI2 __last2)
+        {
+   const typename iterator_traits<_RAI1>::difference_type
+     __diff1 = __last1 - __first1;
+   const typename iterator_traits<_RAI2>::difference_type
+     __diff2 = __last2 - __first2;
+   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
+ }
+      template<typename _RAI>
+        static bool
+        __cnd2(_RAI, _RAI)
+        { return true; }
+    };
+  template<bool _BoolType>
+    struct __lexicographical_compare
+    {
+      template<typename _II1, typename _II2>
+        static bool __lc(_II1, _II1, _II2, _II2);
+    };
+  template<bool _BoolType>
+    template<typename _II1, typename _II2>
+      bool
+      __lexicographical_compare<_BoolType>::
+      __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
+      {
+ typedef typename iterator_traits<_II1>::iterator_category _Category1;
+ typedef typename iterator_traits<_II2>::iterator_category _Category2;
+ typedef std::__lc_rai<_Category1, _Category2> __rai_type;
+ __last1 = __rai_type::__newlast1(__first1, __last1,
+      __first2, __last2);
+ for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
+      ++__first1, ++__first2)
+   {
+     if (*__first1 < *__first2)
+       return true;
+     if (*__first2 < *__first1)
+       return false;
+   }
+ return __first1 == __last1 && __first2 != __last2;
+      }
+  template<>
+    struct __lexicographical_compare<true>
+    {
+      template<typename _Tp, typename _Up>
+        static bool
+        __lc(const _Tp* __first1, const _Tp* __last1,
+      const _Up* __first2, const _Up* __last2)
+ {
+   const size_t __len1 = __last1 - __first1;
+   const size_t __len2 = __last2 - __first2;
+   const int __result = __builtin_memcmp(__first1, __first2,
+      std::min(__len1, __len2));
+   return __result != 0 ? __result < 0 : __len1 < __len2;
+ }
+    };
+  template<typename _II1, typename _II2>
+    inline bool
+    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
+      _II2 __first2, _II2 __last2)
+    {
+      typedef typename iterator_traits<_II1>::value_type _ValueType1;
+      typedef typename iterator_traits<_II2>::value_type _ValueType2;
+      const bool __simple =
+ (__is_byte<_ValueType1>::__value && __is_byte<_ValueType2>::__value
+  && !__gnu_cxx::__numeric_traits<_ValueType1>::__is_signed
+  && !__gnu_cxx::__numeric_traits<_ValueType2>::__is_signed
+  && __is_pointer<_II1>::__value
+  && __is_pointer<_II2>::__value);
+      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
+           __first2, __last2);
+    }
+}
+namespace std {
+  template<typename _II1, typename _II2>
+    inline bool
+    equal(_II1 __first1, _II1 __last1, _II2 __first2)
+    {
+     
+     
+     
+      ;
+      return std::__equal_aux(std::__niter_base<_II1>::__b(__first1),
+         std::__niter_base<_II1>::__b(__last1),
+         std::__niter_base<_II2>::__b(__first2));
+    }
+  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
+    inline bool
+    equal(_IIter1 __first1, _IIter1 __last1,
+   _IIter2 __first2, _BinaryPredicate __binary_pred)
+    {
+     
+     
+      ;
+      for (; __first1 != __last1; ++__first1, ++__first2)
+ if (!bool(__binary_pred(*__first1, *__first2)))
+   return false;
+      return true;
+    }
+  template<typename _II1, typename _II2>
+    inline bool
+    lexicographical_compare(_II1 __first1, _II1 __last1,
+       _II2 __first2, _II2 __last2)
+    {
+      typedef typename iterator_traits<_II1>::value_type _ValueType1;
+      typedef typename iterator_traits<_II2>::value_type _ValueType2;
+     
+     
+     
+     
+      ;
+      ;
+      return std::__lexicographical_compare_aux
+ (std::__niter_base<_II1>::__b(__first1),
+  std::__niter_base<_II1>::__b(__last1),
+  std::__niter_base<_II2>::__b(__first2),
+  std::__niter_base<_II2>::__b(__last2));
+    }
+  template<typename _II1, typename _II2, typename _Compare>
+    bool
+    lexicographical_compare(_II1 __first1, _II1 __last1,
+       _II2 __first2, _II2 __last2, _Compare __comp)
+    {
+      typedef typename iterator_traits<_II1>::iterator_category _Category1;
+      typedef typename iterator_traits<_II2>::iterator_category _Category2;
+      typedef std::__lc_rai<_Category1, _Category2> __rai_type;
+     
+     
+      ;
+      ;
+      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
+      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
+    ++__first1, ++__first2)
+ {
+   if (__comp(*__first1, *__first2))
+     return true;
+   if (__comp(*__first2, *__first1))
+     return false;
+ }
+      return __first1 == __last1 && __first2 != __last2;
+    }
+  template<typename _InputIterator1, typename _InputIterator2>
+    pair<_InputIterator1, _InputIterator2>
+    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
+      _InputIterator2 __first2)
+    {
+     
+     
+     
+      ;
+      while (__first1 != __last1 && *__first1 == *__first2)
+        {
+   ++__first1;
+   ++__first2;
+        }
+      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _BinaryPredicate>
+    pair<_InputIterator1, _InputIterator2>
+    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
+      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
+    {
+     
+     
+      ;
+      while (__first1 != __last1 && bool(__binary_pred(*__first1, *__first2)))
+        {
+   ++__first1;
+   ++__first2;
+        }
+      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
+    }
+}
+       
+       
+extern "C" {
+typedef __FILE FILE;
+typedef _fpos64_t fpos_t;
+extern "C" {
+}
+FILE * __attribute__((__cdecl__)) tmpfile (void);
+char * __attribute__((__cdecl__)) tmpnam (char *);
+int __attribute__((__cdecl__)) fclose (FILE *);
+int __attribute__((__cdecl__)) fflush (FILE *);
+FILE * __attribute__((__cdecl__)) freopen (const char *, const char *, FILE *);
+void __attribute__((__cdecl__)) setbuf (FILE *, char *);
+int __attribute__((__cdecl__)) setvbuf (FILE *, char *, int, size_t);
+int __attribute__((__cdecl__)) fprintf (FILE *, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) fscanf (FILE *, const char *, ...) __attribute__ ((__format__ (__scanf__, 2, 3)));
+int __attribute__((__cdecl__)) printf (const char *, ...) __attribute__ ((__format__ (__printf__, 1, 2)));
+int __attribute__((__cdecl__)) scanf (const char *, ...) __attribute__ ((__format__ (__scanf__, 1, 2)));
+int __attribute__((__cdecl__)) sscanf (const char *, const char *, ...) __attribute__ ((__format__ (__scanf__, 2, 3)));
+int __attribute__((__cdecl__)) vfprintf (FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) vprintf (const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 1, 0)));
+int __attribute__((__cdecl__)) vsprintf (char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) fgetc (FILE *);
+char * __attribute__((__cdecl__)) fgets (char *, int, FILE *);
+int __attribute__((__cdecl__)) fputc (int, FILE *);
+int __attribute__((__cdecl__)) fputs (const char *, FILE *);
+int __attribute__((__cdecl__)) getc (FILE *);
+int __attribute__((__cdecl__)) getchar (void);
+char * __attribute__((__cdecl__)) gets (char *);
+int __attribute__((__cdecl__)) putc (int, FILE *);
+int __attribute__((__cdecl__)) putchar (int);
+int __attribute__((__cdecl__)) puts (const char *);
+int __attribute__((__cdecl__)) ungetc (int, FILE *);
+size_t __attribute__((__cdecl__)) fread (void *, size_t _size, size_t _n, FILE *);
+size_t __attribute__((__cdecl__)) fwrite (const void * , size_t _size, size_t _n, FILE *);
+int __attribute__((__cdecl__)) fgetpos (FILE *, fpos_t *);
+int __attribute__((__cdecl__)) fseek (FILE *, long, int);
+int __attribute__((__cdecl__)) fsetpos (FILE *, const fpos_t *);
+long __attribute__((__cdecl__)) ftell ( FILE *);
+void __attribute__((__cdecl__)) rewind (FILE *);
+void __attribute__((__cdecl__)) clearerr (FILE *);
+int __attribute__((__cdecl__)) feof (FILE *);
+int __attribute__((__cdecl__)) ferror (FILE *);
+void __attribute__((__cdecl__)) perror (const char *);
+FILE * __attribute__((__cdecl__)) fopen (const char *_name, const char *_type);
+int __attribute__((__cdecl__)) sprintf (char *, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) remove (const char *);
+int __attribute__((__cdecl__)) rename (const char *, const char *);
+int __attribute__((__cdecl__)) fseeko (FILE *, off_t, int);
+off_t __attribute__((__cdecl__)) ftello ( FILE *);
+int __attribute__((__cdecl__)) asiprintf (char **, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+char * __attribute__((__cdecl__)) asniprintf (char *, size_t *, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+char * __attribute__((__cdecl__)) asnprintf (char *, size_t *, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) asprintf (char **, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) diprintf (int, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) fcloseall (void);
+int __attribute__((__cdecl__)) fiprintf (FILE *, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) fiscanf (FILE *, const char *, ...) __attribute__ ((__format__ (__scanf__, 2, 3)));
+int __attribute__((__cdecl__)) iprintf (const char *, ...) __attribute__ ((__format__ (__printf__, 1, 2)));
+int __attribute__((__cdecl__)) iscanf (const char *, ...) __attribute__ ((__format__ (__scanf__, 1, 2)));
+int __attribute__((__cdecl__)) siprintf (char *, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) siscanf (const char *, const char *, ...) __attribute__ ((__format__ (__scanf__, 2, 3)));
+int __attribute__((__cdecl__)) snprintf (char *, size_t, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) sniprintf (char *, size_t, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+char * __attribute__((__cdecl__)) tempnam (const char *, const char *);
+int __attribute__((__cdecl__)) vasiprintf (char **, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+char * __attribute__((__cdecl__)) vasniprintf (char *, size_t *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+char * __attribute__((__cdecl__)) vasnprintf (char *, size_t *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) vasprintf (char **, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) vdiprintf (int, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) vfiprintf (FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) vfiscanf (FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 2, 0)));
+int __attribute__((__cdecl__)) vfscanf (FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 2, 0)));
+int __attribute__((__cdecl__)) viprintf (const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 1, 0)));
+int __attribute__((__cdecl__)) viscanf (const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 1, 0)));
+int __attribute__((__cdecl__)) vscanf (const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 1, 0)));
+int __attribute__((__cdecl__)) vsiprintf (char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) vsiscanf (const char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 2, 0)));
+int __attribute__((__cdecl__)) vsniprintf (char *, size_t, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) vsnprintf (char *, size_t, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) vsscanf (const char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 2, 0)));
+FILE * __attribute__((__cdecl__)) fdopen (int, const char *);
+int __attribute__((__cdecl__)) fileno (FILE *);
+int __attribute__((__cdecl__)) getw (FILE *);
+int __attribute__((__cdecl__)) pclose (FILE *);
+FILE * __attribute__((__cdecl__)) popen (const char *, const char *);
+int __attribute__((__cdecl__)) putw (int, FILE *);
+void __attribute__((__cdecl__)) setbuffer (FILE *, char *, int);
+int __attribute__((__cdecl__)) setlinebuf (FILE *);
+int __attribute__((__cdecl__)) getc_unlocked (FILE *);
+int __attribute__((__cdecl__)) getchar_unlocked (void);
+void __attribute__((__cdecl__)) flockfile (FILE *);
+int __attribute__((__cdecl__)) ftrylockfile (FILE *);
+void __attribute__((__cdecl__)) funlockfile (FILE *);
+int __attribute__((__cdecl__)) putc_unlocked (int, FILE *);
+int __attribute__((__cdecl__)) putchar_unlocked (int);
+int __attribute__((__cdecl__)) dprintf (int, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+FILE * __attribute__((__cdecl__)) fmemopen (void *, size_t, const char *);
+FILE * __attribute__((__cdecl__)) open_memstream (char **, size_t *);
+int __attribute__((__cdecl__)) renameat (int, const char *, int, const char *);
+int __attribute__((__cdecl__)) vdprintf (int, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) _asiprintf_r (struct _reent *, char **, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+char * __attribute__((__cdecl__)) _asniprintf_r (struct _reent *, char *, size_t *, const char *, ...) __attribute__ ((__format__ (__printf__, 4, 5)));
+char * __attribute__((__cdecl__)) _asnprintf_r (struct _reent *, char *, size_t *, const char *, ...) __attribute__ ((__format__ (__printf__, 4, 5)));
+int __attribute__((__cdecl__)) _asprintf_r (struct _reent *, char **, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _diprintf_r (struct _reent *, int, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _dprintf_r (struct _reent *, int, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _fclose_r (struct _reent *, FILE *);
+int __attribute__((__cdecl__)) _fcloseall_r (struct _reent *);
+FILE * __attribute__((__cdecl__)) _fdopen_r (struct _reent *, int, const char *);
+int __attribute__((__cdecl__)) _fflush_r (struct _reent *, FILE *);
+int __attribute__((__cdecl__)) _fgetc_r (struct _reent *, FILE *);
+char * __attribute__((__cdecl__)) _fgets_r (struct _reent *, char *, int, FILE *);
+int __attribute__((__cdecl__)) _fgetpos_r (struct _reent *, FILE *, fpos_t *);
+int __attribute__((__cdecl__)) _fsetpos_r (struct _reent *, FILE *, const fpos_t *);
+int __attribute__((__cdecl__)) _fiprintf_r (struct _reent *, FILE *, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _fiscanf_r (struct _reent *, FILE *, const char *, ...) __attribute__ ((__format__ (__scanf__, 3, 4)));
+FILE * __attribute__((__cdecl__)) _fmemopen_r (struct _reent *, void *, size_t, const char *);
+FILE * __attribute__((__cdecl__)) _fopen_r (struct _reent *, const char *, const char *);
+FILE * __attribute__((__cdecl__)) _freopen_r (struct _reent *, const char *, const char *, FILE *);
+int __attribute__((__cdecl__)) _fprintf_r (struct _reent *, FILE *, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _fpurge_r (struct _reent *, FILE *);
+int __attribute__((__cdecl__)) _fputc_r (struct _reent *, int, FILE *);
+int __attribute__((__cdecl__)) _fputs_r (struct _reent *, const char *, FILE *);
+size_t __attribute__((__cdecl__)) _fread_r (struct _reent *, void *, size_t _size, size_t _n, FILE *);
+int __attribute__((__cdecl__)) _fscanf_r (struct _reent *, FILE *, const char *, ...) __attribute__ ((__format__ (__scanf__, 3, 4)));
+int __attribute__((__cdecl__)) _fseek_r (struct _reent *, FILE *, long, int);
+int __attribute__((__cdecl__)) _fseeko_r (struct _reent *, FILE *, _off_t, int);
+long __attribute__((__cdecl__)) _ftell_r (struct _reent *, FILE *);
+_off_t __attribute__((__cdecl__)) _ftello_r (struct _reent *, FILE *);
+void __attribute__((__cdecl__)) _rewind_r (struct _reent *, FILE *);
+size_t __attribute__((__cdecl__)) _fwrite_r (struct _reent *, const void * , size_t _size, size_t _n, FILE *);
+int __attribute__((__cdecl__)) _getc_r (struct _reent *, FILE *);
+int __attribute__((__cdecl__)) _getc_unlocked_r (struct _reent *, FILE *);
+int __attribute__((__cdecl__)) _getchar_r (struct _reent *);
+int __attribute__((__cdecl__)) _getchar_unlocked_r (struct _reent *);
+char * __attribute__((__cdecl__)) _gets_r (struct _reent *, char *);
+int __attribute__((__cdecl__)) _iprintf_r (struct _reent *, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) _iscanf_r (struct _reent *, const char *, ...) __attribute__ ((__format__ (__scanf__, 2, 3)));
+FILE * __attribute__((__cdecl__)) _open_memstream_r (struct _reent *, char **, size_t *);
+void __attribute__((__cdecl__)) _perror_r (struct _reent *, const char *);
+int __attribute__((__cdecl__)) _printf_r (struct _reent *, const char *, ...) __attribute__ ((__format__ (__printf__, 2, 3)));
+int __attribute__((__cdecl__)) _putc_r (struct _reent *, int, FILE *);
+int __attribute__((__cdecl__)) _putc_unlocked_r (struct _reent *, int, FILE *);
+int __attribute__((__cdecl__)) _putchar_unlocked_r (struct _reent *, int);
+int __attribute__((__cdecl__)) _putchar_r (struct _reent *, int);
+int __attribute__((__cdecl__)) _puts_r (struct _reent *, const char *);
+int __attribute__((__cdecl__)) _remove_r (struct _reent *, const char *);
+int __attribute__((__cdecl__)) _rename_r (struct _reent *, const char *_old, const char *_new);
+int __attribute__((__cdecl__)) _scanf_r (struct _reent *, const char *, ...) __attribute__ ((__format__ (__scanf__, 2, 3)));
+int __attribute__((__cdecl__)) _siprintf_r (struct _reent *, char *, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _siscanf_r (struct _reent *, const char *, const char *, ...) __attribute__ ((__format__ (__scanf__, 3, 4)));
+int __attribute__((__cdecl__)) _sniprintf_r (struct _reent *, char *, size_t, const char *, ...) __attribute__ ((__format__ (__printf__, 4, 5)));
+int __attribute__((__cdecl__)) _snprintf_r (struct _reent *, char *, size_t, const char *, ...) __attribute__ ((__format__ (__printf__, 4, 5)));
+int __attribute__((__cdecl__)) _sprintf_r (struct _reent *, char *, const char *, ...) __attribute__ ((__format__ (__printf__, 3, 4)));
+int __attribute__((__cdecl__)) _sscanf_r (struct _reent *, const char *, const char *, ...) __attribute__ ((__format__ (__scanf__, 3, 4)));
+char * __attribute__((__cdecl__)) _tempnam_r (struct _reent *, const char *, const char *);
+FILE * __attribute__((__cdecl__)) _tmpfile_r (struct _reent *);
+char * __attribute__((__cdecl__)) _tmpnam_r (struct _reent *, char *);
+int __attribute__((__cdecl__)) _ungetc_r (struct _reent *, int, FILE *);
+int __attribute__((__cdecl__)) _vasiprintf_r (struct _reent *, char **, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+char * __attribute__((__cdecl__)) _vasniprintf_r (struct _reent*, char *, size_t *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 4, 0)));
+char * __attribute__((__cdecl__)) _vasnprintf_r (struct _reent*, char *, size_t *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 4, 0)));
+int __attribute__((__cdecl__)) _vasprintf_r (struct _reent *, char **, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vdiprintf_r (struct _reent *, int, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vdprintf_r (struct _reent *, int, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vfiprintf_r (struct _reent *, FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vfiscanf_r (struct _reent *, FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 3, 0)));
+int __attribute__((__cdecl__)) _vfprintf_r (struct _reent *, FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vfscanf_r (struct _reent *, FILE *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 3, 0)));
+int __attribute__((__cdecl__)) _viprintf_r (struct _reent *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) _viscanf_r (struct _reent *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 2, 0)));
+int __attribute__((__cdecl__)) _vprintf_r (struct _reent *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 2, 0)));
+int __attribute__((__cdecl__)) _vscanf_r (struct _reent *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 2, 0)));
+int __attribute__((__cdecl__)) _vsiprintf_r (struct _reent *, char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vsiscanf_r (struct _reent *, const char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 3, 0)));
+int __attribute__((__cdecl__)) _vsniprintf_r (struct _reent *, char *, size_t, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 4, 0)));
+int __attribute__((__cdecl__)) _vsnprintf_r (struct _reent *, char *, size_t, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 4, 0)));
+int __attribute__((__cdecl__)) _vsprintf_r (struct _reent *, char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__printf__, 3, 0)));
+int __attribute__((__cdecl__)) _vsscanf_r (struct _reent *, const char *, const char *, __gnuc_va_list) __attribute__ ((__format__ (__scanf__, 3, 0)));
+int __attribute__((__cdecl__)) fpurge (FILE *);
+ssize_t __attribute__((__cdecl__)) __getdelim (char **, size_t *, int, FILE *);
+ssize_t __attribute__((__cdecl__)) __getline (char **, size_t *, FILE *);
+int __attribute__((__cdecl__)) __srget_r (struct _reent *, FILE *);
+int __attribute__((__cdecl__)) __swbuf_r (struct _reent *, int, FILE *);
+FILE *__attribute__((__cdecl__)) funopen (const void * __cookie, int (*__readfn)(void * __c, char *__buf, int __n), int (*__writefn)(void * __c, const char *__buf, int __n), _fpos64_t (*__seekfn)(void * __c, _fpos64_t __off, int __whence), int (*__closefn)(void * __c));
+FILE *__attribute__((__cdecl__)) _funopen_r (struct _reent *, const void * __cookie, int (*__readfn)(void * __c, char *__buf, int __n), int (*__writefn)(void * __c, const char *__buf, int __n), _fpos64_t (*__seekfn)(void * __c, _fpos64_t __off, int __whence), int (*__closefn)(void * __c));
+typedef ssize_t cookie_read_function_t(void *__cookie, char *__buf, size_t __n);
+typedef ssize_t cookie_write_function_t(void *__cookie, const char *__buf,
+     size_t __n);
+typedef int cookie_seek_function_t(void *__cookie, _off64_t *__off,
+       int __whence);
+typedef int cookie_close_function_t(void *__cookie);
+typedef struct
+{
+  cookie_read_function_t *read;
+  cookie_write_function_t *write;
+  cookie_seek_function_t *seek;
+  cookie_close_function_t *close;
+} cookie_io_functions_t;
+FILE *__attribute__((__cdecl__)) fopencookie (void *__cookie, const char *__mode, cookie_io_functions_t __functions);
+FILE *__attribute__((__cdecl__)) _fopencookie_r (struct _reent *, void *__cookie, const char *__mode, cookie_io_functions_t __functions);
+extern __inline__ __attribute__ ((__always_inline__)) int __sgetc_r(struct _reent *__ptr, FILE *__p);
+extern __inline__ __attribute__ ((__always_inline__)) int __sgetc_r(struct _reent *__ptr, FILE *__p)
+  {
+    int __c = (--(__p)->_r < 0 ? __srget_r(__ptr, __p) : (int)(*(__p)->_p++));
+    if ((__p->_flags & 0x4000) && (__c == '\r'))
+      {
+      int __c2 = (--(__p)->_r < 0 ? __srget_r(__ptr, __p) : (int)(*(__p)->_p++));
+      if (__c2 == '\n')
+        __c = __c2;
+      else
+        ungetc(__c2, __p);
+      }
+    return __c;
+  }
+}
+namespace std {
+  using ::FILE;
+  using ::fpos_t;
+  using ::clearerr;
+  using ::fclose;
+  using ::feof;
+  using ::ferror;
+  using ::fflush;
+  using ::fgetc;
+  using ::fgetpos;
+  using ::fgets;
+  using ::fopen;
+  using ::fprintf;
+  using ::fputc;
+  using ::fputs;
+  using ::fread;
+  using ::freopen;
+  using ::fscanf;
+  using ::fseek;
+  using ::fsetpos;
+  using ::ftell;
+  using ::fwrite;
+  using ::getc;
+  using ::getchar;
+  using ::gets;
+  using ::perror;
+  using ::printf;
+  using ::putc;
+  using ::putchar;
+  using ::puts;
+  using ::remove;
+  using ::rename;
+  using ::rewind;
+  using ::scanf;
+  using ::setbuf;
+  using ::setvbuf;
+  using ::sprintf;
+  using ::sscanf;
+  using ::tmpfile;
+  using ::tmpnam;
+  using ::ungetc;
+  using ::vfprintf;
+  using ::vprintf;
+  using ::vsprintf;
+}
+       
+       
+namespace __gnu_cxx {
+  template<typename _CharT>
+    struct _Char_types
+    {
+      typedef unsigned long int_type;
+      typedef std::streampos pos_type;
+      typedef std::streamoff off_type;
+      typedef std::mbstate_t state_type;
+    };
+  template<typename _CharT>
+    struct char_traits
+    {
+      typedef _CharT char_type;
+      typedef typename _Char_types<_CharT>::int_type int_type;
+      typedef typename _Char_types<_CharT>::pos_type pos_type;
+      typedef typename _Char_types<_CharT>::off_type off_type;
+      typedef typename _Char_types<_CharT>::state_type state_type;
+      static void
+      assign(char_type& __c1, const char_type& __c2)
+      { __c1 = __c2; }
+      static bool
+      eq(const char_type& __c1, const char_type& __c2)
+      { return __c1 == __c2; }
+      static bool
+      lt(const char_type& __c1, const char_type& __c2)
+      { return __c1 < __c2; }
+      static int
+      compare(const char_type* __s1, const char_type* __s2, std::size_t __n);
+      static std::size_t
+      length(const char_type* __s);
+      static const char_type*
+      find(const char_type* __s, std::size_t __n, const char_type& __a);
+      static char_type*
+      move(char_type* __s1, const char_type* __s2, std::size_t __n);
+      static char_type*
+      copy(char_type* __s1, const char_type* __s2, std::size_t __n);
+      static char_type*
+      assign(char_type* __s, std::size_t __n, char_type __a);
+      static char_type
+      to_char_type(const int_type& __c)
+      { return static_cast<char_type>(__c); }
+      static int_type
+      to_int_type(const char_type& __c)
+      { return static_cast<int_type>(__c); }
+      static bool
+      eq_int_type(const int_type& __c1, const int_type& __c2)
+      { return __c1 == __c2; }
+      static int_type
+      eof()
+      { return static_cast<int_type>((-1)); }
+      static int_type
+      not_eof(const int_type& __c)
+      { return !eq_int_type(__c, eof()) ? __c : to_int_type(char_type()); }
+    };
+  template<typename _CharT>
+    int
+    char_traits<_CharT>::
+    compare(const char_type* __s1, const char_type* __s2, std::size_t __n)
+    {
+      for (std::size_t __i = 0; __i < __n; ++__i)
+ if (lt(__s1[__i], __s2[__i]))
+   return -1;
+ else if (lt(__s2[__i], __s1[__i]))
+   return 1;
+      return 0;
+    }
+  template<typename _CharT>
+    std::size_t
+    char_traits<_CharT>::
+    length(const char_type* __p)
+    {
+      std::size_t __i = 0;
+      while (!eq(__p[__i], char_type()))
+        ++__i;
+      return __i;
+    }
+  template<typename _CharT>
+    const typename char_traits<_CharT>::char_type*
+    char_traits<_CharT>::
+    find(const char_type* __s, std::size_t __n, const char_type& __a)
+    {
+      for (std::size_t __i = 0; __i < __n; ++__i)
+        if (eq(__s[__i], __a))
+          return __s + __i;
+      return 0;
+    }
+  template<typename _CharT>
+    typename char_traits<_CharT>::char_type*
+    char_traits<_CharT>::
+    move(char_type* __s1, const char_type* __s2, std::size_t __n)
+    {
+      return static_cast<_CharT*>(__builtin_memmove(__s1, __s2,
+          __n * sizeof(char_type)));
+    }
+  template<typename _CharT>
+    typename char_traits<_CharT>::char_type*
+    char_traits<_CharT>::
+    copy(char_type* __s1, const char_type* __s2, std::size_t __n)
+    {
+      std::copy(__s2, __s2 + __n, __s1);
+      return __s1;
+    }
+  template<typename _CharT>
+    typename char_traits<_CharT>::char_type*
+    char_traits<_CharT>::
+    assign(char_type* __s, std::size_t __n, char_type __a)
+    {
+      std::fill_n(__s, __n, __a);
+      return __s;
+    }
+}
+namespace std {
+  template<class _CharT>
+    struct char_traits : public __gnu_cxx::char_traits<_CharT>
+    { };
+  template<>
+    struct char_traits<char>
+    {
+      typedef char char_type;
+      typedef int int_type;
+      typedef streampos pos_type;
+      typedef streamoff off_type;
+      typedef mbstate_t state_type;
+      static void
+      assign(char_type& __c1, const char_type& __c2)
+      { __c1 = __c2; }
+      static bool
+      eq(const char_type& __c1, const char_type& __c2)
+      { return __c1 == __c2; }
+      static bool
+      lt(const char_type& __c1, const char_type& __c2)
+      { return __c1 < __c2; }
+      static int
+      compare(const char_type* __s1, const char_type* __s2, size_t __n)
+      { return __builtin_memcmp(__s1, __s2, __n); }
+      static size_t
+      length(const char_type* __s)
+      { return __builtin_strlen(__s); }
+      static const char_type*
+      find(const char_type* __s, size_t __n, const char_type& __a)
+      { return static_cast<const char_type*>(__builtin_memchr(__s, __a, __n)); }
+      static char_type*
+      move(char_type* __s1, const char_type* __s2, size_t __n)
+      { return static_cast<char_type*>(__builtin_memmove(__s1, __s2, __n)); }
+      static char_type*
+      copy(char_type* __s1, const char_type* __s2, size_t __n)
+      { return static_cast<char_type*>(__builtin_memcpy(__s1, __s2, __n)); }
+      static char_type*
+      assign(char_type* __s, size_t __n, char_type __a)
+      { return static_cast<char_type*>(__builtin_memset(__s, __a, __n)); }
+      static char_type
+      to_char_type(const int_type& __c)
+      { return static_cast<char_type>(__c); }
+      static int_type
+      to_int_type(const char_type& __c)
+      { return static_cast<int_type>(static_cast<unsigned char>(__c)); }
+      static bool
+      eq_int_type(const int_type& __c1, const int_type& __c2)
+      { return __c1 == __c2; }
+      static int_type
+      eof() { return static_cast<int_type>((-1)); }
+      static int_type
+      not_eof(const int_type& __c)
+      { return (__c == eof()) ? 0 : __c; }
+  };
+  template<>
+    struct char_traits<wchar_t>
+    {
+      typedef wchar_t char_type;
+      typedef wint_t int_type;
+      typedef streamoff off_type;
+      typedef wstreampos pos_type;
+      typedef mbstate_t state_type;
+      static void
+      assign(char_type& __c1, const char_type& __c2)
+      { __c1 = __c2; }
+      static bool
+      eq(const char_type& __c1, const char_type& __c2)
+      { return __c1 == __c2; }
+      static bool
+      lt(const char_type& __c1, const char_type& __c2)
+      { return __c1 < __c2; }
+      static int
+      compare(const char_type* __s1, const char_type* __s2, size_t __n)
+      { return wmemcmp(__s1, __s2, __n); }
+      static size_t
+      length(const char_type* __s)
+      { return wcslen(__s); }
+      static const char_type*
+      find(const char_type* __s, size_t __n, const char_type& __a)
+      { return wmemchr(__s, __a, __n); }
+      static char_type*
+      move(char_type* __s1, const char_type* __s2, size_t __n)
+      { return wmemmove(__s1, __s2, __n); }
+      static char_type*
+      copy(char_type* __s1, const char_type* __s2, size_t __n)
+      { return wmemcpy(__s1, __s2, __n); }
+      static char_type*
+      assign(char_type* __s, size_t __n, char_type __a)
+      { return wmemset(__s, __a, __n); }
+      static char_type
+      to_char_type(const int_type& __c) { return char_type(__c); }
+      static int_type
+      to_int_type(const char_type& __c) { return int_type(__c); }
+      static bool
+      eq_int_type(const int_type& __c1, const int_type& __c2)
+      { return __c1 == __c2; }
+      static int_type
+      eof() { return static_cast<int_type>(((wint_t)-1)); }
+      static int_type
+      not_eof(const int_type& __c)
+      { return eq_int_type(__c, eof()) ? 0 : __c; }
+  };
+}
+       
+       
+       
+extern "C" {
+struct lconv
+{
+  char *decimal_point;
+  char *thousands_sep;
+  char *grouping;
+  char *int_curr_symbol;
+  char *currency_symbol;
+  char *mon_decimal_point;
+  char *mon_thousands_sep;
+  char *mon_grouping;
+  char *positive_sign;
+  char *negative_sign;
+  char int_frac_digits;
+  char frac_digits;
+  char p_cs_precedes;
+  char p_sep_by_space;
+  char n_cs_precedes;
+  char n_sep_by_space;
+  char p_sign_posn;
+  char n_sign_posn;
+  char int_n_cs_precedes;
+  char int_n_sep_by_space;
+  char int_n_sign_posn;
+  char int_p_cs_precedes;
+  char int_p_sep_by_space;
+  char int_p_sign_posn;
+};
+char *__attribute__((__cdecl__)) setlocale (int category, const char *locale);
+struct lconv *__attribute__((__cdecl__)) localeconv (void);
+struct _reent;
+char *__attribute__((__cdecl__)) _setlocale_r (struct _reent *, int category, const char *locale);
+struct lconv *__attribute__((__cdecl__)) _localeconv_r (struct _reent *);
+}
+namespace std {
+  using ::lconv;
+  using ::setlocale;
+  using ::localeconv;
+}
+       
+namespace std {
+  typedef int* __c_locale;
+  inline int
+  __convert_from_v(const __c_locale&, char* __out,
+     const int __size __attribute__((__unused__)),
+     const char* __fmt, ...)
+  {
+    char* __old = std::setlocale(4, __null);
+    char* __sav = __null;
+    if (__builtin_strcmp(__old, "C"))
+      {
+ const size_t __len = __builtin_strlen(__old) + 1;
+ __sav = new char[__len];
+ __builtin_memcpy(__sav, __old, __len);
+ std::setlocale(4, "C");
+      }
+    __builtin_va_list __args;
+    __builtin_va_start(__args, __fmt);
+    const int __ret = __builtin_vsprintf(__out, __fmt, __args);
+    __builtin_va_end(__args);
+    if (__sav)
+      {
+ std::setlocale(4, __sav);
+ delete [] __sav;
+      }
+    return __ret;
+  }
+}
+       
+extern "C" {
+int __attribute__((__cdecl__)) isalnum (int __c);
+int __attribute__((__cdecl__)) isalpha (int __c);
+int __attribute__((__cdecl__)) iscntrl (int __c);
+int __attribute__((__cdecl__)) isdigit (int __c);
+int __attribute__((__cdecl__)) isgraph (int __c);
+int __attribute__((__cdecl__)) islower (int __c);
+int __attribute__((__cdecl__)) isprint (int __c);
+int __attribute__((__cdecl__)) ispunct (int __c);
+int __attribute__((__cdecl__)) isspace (int __c);
+int __attribute__((__cdecl__)) isupper (int __c);
+int __attribute__((__cdecl__)) isxdigit (int __c);
+int __attribute__((__cdecl__)) tolower (int __c);
+int __attribute__((__cdecl__)) toupper (int __c);
+int __attribute__((__cdecl__)) isblank (int __c);
+int __attribute__((__cdecl__)) isascii (int __c);
+int __attribute__((__cdecl__)) toascii (int __c);
+extern __attribute__((dllimport)) char *__ctype_ptr__;
+extern __attribute__((dllimport)) const char _ctype_[];
+}
+namespace std {
+  using ::isalnum;
+  using ::isalpha;
+  using ::iscntrl;
+  using ::isdigit;
+  using ::isgraph;
+  using ::islower;
+  using ::isprint;
+  using ::ispunct;
+  using ::isspace;
+  using ::isupper;
+  using ::isxdigit;
+  using ::tolower;
+  using ::toupper;
+}
+namespace std {
+  class locale;
+  template<typename _Facet>
+    bool
+    has_facet(const locale&) throw();
+  template<typename _Facet>
+    const _Facet&
+    use_facet(const locale&);
+  template<typename _CharT>
+    bool
+    isspace(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isprint(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    iscntrl(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isupper(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    islower(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isalpha(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isdigit(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    ispunct(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isxdigit(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isalnum(_CharT, const locale&);
+  template<typename _CharT>
+    bool
+    isgraph(_CharT, const locale&);
+  template<typename _CharT>
+    _CharT
+    toupper(_CharT, const locale&);
+  template<typename _CharT>
+    _CharT
+    tolower(_CharT, const locale&);
+  class ctype_base;
+  template<typename _CharT>
+    class ctype;
+  template<> class ctype<char>;
+  template<> class ctype<wchar_t>;
+  template<typename _CharT>
+    class ctype_byname;
+  class codecvt_base;
+  template<typename _InternT, typename _ExternT, typename _StateT>
+    class codecvt;
+  template<> class codecvt<char, char, mbstate_t>;
+  template<> class codecvt<wchar_t, char, mbstate_t>;
+  template<typename _InternT, typename _ExternT, typename _StateT>
+    class codecvt_byname;
+
+  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
+    class num_get;
+  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
+    class num_put;
+
+  template<typename _CharT> class numpunct;
+  template<typename _CharT> class numpunct_byname;
+  template<typename _CharT>
+    class collate;
+  template<typename _CharT> class
+    collate_byname;
+  class time_base;
+  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
+    class time_get;
+  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
+    class time_get_byname;
+  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
+    class time_put;
+  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
+    class time_put_byname;
+  class money_base;
+
+  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
+    class money_get;
+  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
+    class money_put;
+
+  template<typename _CharT, bool _Intl = false>
+    class moneypunct;
+  template<typename _CharT, bool _Intl = false>
+    class moneypunct_byname;
+  class messages_base;
+  template<typename _CharT>
+    class messages;
+  template<typename _CharT>
+    class messages_byname;
+}
+       
+#pragma GCC visibility push(default)
+extern "C" {
+typedef unsigned long sigset_t;
+extern "C" {
+struct _fpstate
+{
+  unsigned long cw;
+  unsigned long sw;
+  unsigned long tag;
+  unsigned long ipoff;
+  unsigned long cssel;
+  unsigned long dataoff;
+  unsigned long datasel;
+  unsigned char _st[80];
+  unsigned long nxst;
+};
+struct ucontext
+{
+  unsigned long cr2;
+  unsigned long dr0;
+  unsigned long dr1;
+  unsigned long dr2;
+  unsigned long dr3;
+  unsigned long dr6;
+  unsigned long dr7;
+  struct _fpstate fpstate;
+  unsigned long gs;
+  unsigned long fs;
+  unsigned long es;
+  unsigned long ds;
+  unsigned long edi;
+  unsigned long esi;
+  unsigned long ebx;
+  unsigned long edx;
+  unsigned long ecx;
+  unsigned long eax;
+  unsigned long ebp;
+  unsigned long eip;
+  unsigned long cs;
+  unsigned long eflags;
+  unsigned long esp;
+  unsigned long ss;
+  unsigned char _internal;
+  unsigned long oldmask;
+};
+typedef union sigval
+{
+  int sival_int;
+  void *sival_ptr;
+} sigval_t;
+typedef struct sigevent
+{
+  sigval_t sigev_value;
+  int sigev_signo;
+  int sigev_notify;
+  void (*sigev_notify_function) (sigval_t);
+  pthread_attr_t *sigev_notify_attributes;
+} sigevent_t;
+#pragma pack(push,4)
+struct _sigcommune
+{
+  __uint32_t _si_code;
+  void *_si_read_handle;
+  void *_si_write_handle;
+  void *_si_process_handle;
+  __extension__ union
+  {
+    int _si_fd;
+    void *_si_pipe_fhandler;
+    char *_si_str;
+  };
+};
+typedef struct
+{
+  int si_signo;
+  int si_code;
+  pid_t si_pid;
+  uid_t si_uid;
+  int si_errno;
+  __extension__ union
+  {
+    __uint32_t __pad[32];
+    struct _sigcommune _si_commune;
+    __extension__ union
+    {
+      struct
+      {
+ union
+ {
+   struct
+   {
+     timer_t si_tid;
+     unsigned int si_overrun;
+   };
+   sigval_t si_sigval;
+   sigval_t si_value;
+ };
+      };
+    };
+    __extension__ struct
+    {
+      int si_status;
+      clock_t si_utime;
+      clock_t si_stime;
+    };
+    void *si_addr;
+  };
+} siginfo_t;
+#pragma pack(pop)
+enum
+{
+  SI_USER = 0,
+  SI_ASYNCIO = 2,
+  SI_MESGQ,
+  SI_TIMER,
+  SI_QUEUE,
+  SI_KERNEL,
+  ILL_ILLOPC,
+  ILL_ILLOPN,
+  ILL_ILLADR,
+  ILL_ILLTRP,
+  ILL_PRVOPC,
+  ILL_PRVREG,
+  ILL_COPROC,
+  ILL_BADSTK,
+  FPE_INTDIV,
+  FPE_INTOVF,
+  FPE_FLTDIV,
+  FPE_FLTOVF,
+  FPE_FLTUND,
+  FPE_FLTRES,
+  FPE_FLTINV,
+  FPE_FLTSUB,
+  SEGV_MAPERR,
+  SEGV_ACCERR,
+  BUS_ADRALN,
+  BUS_ADRERR,
+  BUS_OBJERR,
+  CLD_EXITED,
+  CLD_KILLED,
+  CLD_DUMPED,
+  CLD_TRAPPED,
+  CLD_STOPPED,
+  CLD_CONTINUED
+};
+enum
+{
+  SIGEV_SIGNAL = 0,
+  SIGEV_NONE,
+  SIGEV_THREAD
+};
+typedef void (*_sig_func_ptr)(int);
+struct sigaction
+{
+  __extension__ union
+  {
+    _sig_func_ptr sa_handler;
+    void (*sa_sigaction) ( int, siginfo_t *, void * );
+  };
+  sigset_t sa_mask;
+  int sa_flags;
+};
+int sigwait (const sigset_t *, int *);
+int sigwaitinfo (const sigset_t *, siginfo_t *);
+int sighold (int);
+int sigignore (int);
+int sigrelse (int);
+_sig_func_ptr sigset (int, _sig_func_ptr);
+int sigqueue(pid_t, int, const union sigval);
+int siginterrupt (int, int);
+extern const char __attribute__((dllimport)) *sys_sigabbrev[];
+}
+int __attribute__((__cdecl__)) sigprocmask (int how, const sigset_t *set, sigset_t *oset);
+int __attribute__((__cdecl__)) pthread_sigmask (int how, const sigset_t *set, sigset_t *oset);
+int __attribute__((__cdecl__)) kill (pid_t, int);
+int __attribute__((__cdecl__)) killpg (pid_t, int);
+int __attribute__((__cdecl__)) sigaction (int, const struct sigaction *, struct sigaction *);
+int __attribute__((__cdecl__)) sigaddset (sigset_t *, const int);
+int __attribute__((__cdecl__)) sigdelset (sigset_t *, const int);
+int __attribute__((__cdecl__)) sigismember (const sigset_t *, int);
+int __attribute__((__cdecl__)) sigfillset (sigset_t *);
+int __attribute__((__cdecl__)) sigemptyset (sigset_t *);
+int __attribute__((__cdecl__)) sigpending (sigset_t *);
+int __attribute__((__cdecl__)) sigsuspend (const sigset_t *);
+int __attribute__((__cdecl__)) sigpause (int);
+int __attribute__((__cdecl__)) pthread_kill (pthread_t thread, int sig);
+int __attribute__((__cdecl__)) sigwaitinfo (const sigset_t *set, siginfo_t *info);
+int __attribute__((__cdecl__)) sigtimedwait (const sigset_t *set, siginfo_t *info, const struct timespec *timeout);
+int __attribute__((__cdecl__)) sigwait (const sigset_t *set, int *sig);
+int __attribute__((__cdecl__)) sigqueue (pid_t pid, int signo, const union sigval value);
+}
+extern "C" {
+typedef int sig_atomic_t;
+struct _reent;
+_sig_func_ptr __attribute__((__cdecl__)) _signal_r (struct _reent *, int, _sig_func_ptr);
+int __attribute__((__cdecl__)) _raise_r (struct _reent *, int);
+_sig_func_ptr __attribute__((__cdecl__)) signal (int, _sig_func_ptr);
+int __attribute__((__cdecl__)) raise (int);
+}
+extern "C" {
+struct sched_param {
+  int sched_priority;
+};
+}
+extern "C" {
+int sched_setparam(
+  pid_t __pid,
+  const struct sched_param *__param
+);
+int sched_getparam(
+  pid_t __pid,
+  struct sched_param *__param
+);
+int sched_setscheduler(
+  pid_t __pid,
+  int __policy,
+  const struct sched_param *__param
+);
+int sched_getscheduler(
+  pid_t __pid
+);
+int sched_get_priority_max(
+  int __policy
+);
+int sched_get_priority_min(
+  int __policy
+);
+int sched_rr_get_interval(
+  pid_t __pid,
+  struct timespec *__interval
+);
+int sched_yield( void );
+}
+extern "C"
+{
+int pthread_attr_destroy (pthread_attr_t *);
+int pthread_attr_getdetachstate (const pthread_attr_t *, int *);
+int pthread_attr_getinheritsched (const pthread_attr_t *, int *);
+int pthread_attr_getschedparam (const pthread_attr_t *, struct sched_param *);
+int pthread_attr_getschedpolicy (const pthread_attr_t *, int *);
+int pthread_attr_getscope (const pthread_attr_t *, int *);
+int pthread_attr_init (pthread_attr_t *);
+int pthread_attr_setdetachstate (pthread_attr_t *, int);
+int pthread_attr_setinheritsched (pthread_attr_t *, int);
+int pthread_attr_setschedparam (pthread_attr_t *, const struct sched_param *);
+int pthread_attr_setschedpolicy (pthread_attr_t *, int);
+int pthread_attr_setscope (pthread_attr_t *, int);
+int pthread_attr_getstacksize (const pthread_attr_t *, size_t *);
+int pthread_attr_setstacksize (pthread_attr_t *, size_t);
+int pthread_cancel (pthread_t);
+typedef void (*__cleanup_routine_type) (void *);
+typedef struct _pthread_cleanup_handler
+{
+  __cleanup_routine_type function;
+  void *arg;
+  struct _pthread_cleanup_handler *next;
+} __pthread_cleanup_handler;
+void _pthread_cleanup_push (__pthread_cleanup_handler *handler);
+void _pthread_cleanup_pop (int execute);
+int pthread_cond_broadcast (pthread_cond_t *);
+int pthread_cond_destroy (pthread_cond_t *);
+int pthread_cond_init (pthread_cond_t *, const pthread_condattr_t *);
+int pthread_cond_signal (pthread_cond_t *);
+int pthread_cond_timedwait (pthread_cond_t *,
+       pthread_mutex_t *, const struct timespec *);
+int pthread_cond_wait (pthread_cond_t *, pthread_mutex_t *);
+int pthread_condattr_destroy (pthread_condattr_t *);
+int pthread_condattr_getpshared (const pthread_condattr_t *, int *);
+int pthread_condattr_init (pthread_condattr_t *);
+int pthread_condattr_setpshared (pthread_condattr_t *, int);
+int pthread_create (pthread_t *, const pthread_attr_t *,
+      void *(*)(void *), void *);
+int pthread_detach (pthread_t);
+int pthread_equal (pthread_t, pthread_t);
+void pthread_exit (void *);
+int pthread_getschedparam (pthread_t, int *, struct sched_param *);
+void *pthread_getspecific (pthread_key_t);
+int pthread_join (pthread_t, void **);
+int pthread_key_create (pthread_key_t *, void (*)(void *));
+int pthread_key_delete (pthread_key_t);
+int pthread_mutex_destroy (pthread_mutex_t *);
+int pthread_mutex_getprioceiling (const pthread_mutex_t *, int *);
+int pthread_mutex_init (pthread_mutex_t *, const pthread_mutexattr_t *);
+int pthread_mutex_lock (pthread_mutex_t *);
+int pthread_mutex_setprioceiling (pthread_mutex_t *, int, int *);
+int pthread_mutex_trylock (pthread_mutex_t *);
+int pthread_mutex_unlock (pthread_mutex_t *);
+int pthread_mutexattr_destroy (pthread_mutexattr_t *);
+int pthread_mutexattr_getprioceiling (const pthread_mutexattr_t *, int *);
+int pthread_mutexattr_getprotocol (const pthread_mutexattr_t *, int *);
+int pthread_mutexattr_getpshared (const pthread_mutexattr_t *, int *);
+int pthread_mutexattr_gettype (const pthread_mutexattr_t *, int *);
+int pthread_mutexattr_init (pthread_mutexattr_t *);
+int pthread_mutexattr_setprioceiling (pthread_mutexattr_t *, int);
+int pthread_mutexattr_setprotocol (pthread_mutexattr_t *, int);
+int pthread_mutexattr_setpshared (pthread_mutexattr_t *, int);
+int pthread_mutexattr_settype (pthread_mutexattr_t *, int);
+int pthread_rwlock_destroy (pthread_rwlock_t *rwlock);
+int pthread_rwlock_init (pthread_rwlock_t *rwlock, const pthread_rwlockattr_t *attr);
+int pthread_rwlock_rdlock (pthread_rwlock_t *rwlock);
+int pthread_rwlock_tryrdlock (pthread_rwlock_t *rwlock);
+int pthread_rwlock_wrlock (pthread_rwlock_t *rwlock);
+int pthread_rwlock_trywrlock (pthread_rwlock_t *rwlock);
+int pthread_rwlock_unlock (pthread_rwlock_t *rwlock);
+int pthread_rwlockattr_init (pthread_rwlockattr_t *rwlockattr);
+int pthread_rwlockattr_getpshared (const pthread_rwlockattr_t *attr,
+       int *pshared);
+int pthread_rwlockattr_setpshared (pthread_rwlockattr_t *attr, int pshared);
+int pthread_rwlockattr_destroy (pthread_rwlockattr_t *rwlockattr);
+int pthread_once (pthread_once_t *, void (*)(void));
+int pthread_getconcurrency (void);
+int pthread_setconcurrency (int);
+pthread_t pthread_self (void);
+int pthread_setcancelstate (int, int *);
+int pthread_setcanceltype (int, int *);
+int pthread_setschedparam (pthread_t, int, const struct sched_param *);
+int pthread_setspecific (pthread_key_t, const void *);
+void pthread_testcancel (void);
+int pthread_suspend (pthread_t);
+int pthread_continue (pthread_t);
+}
+typedef pthread_key_t __gthread_key_t;
+typedef pthread_once_t __gthread_once_t;
+typedef pthread_mutex_t __gthread_mutex_t;
+typedef pthread_mutex_t __gthread_recursive_mutex_t;
+typedef pthread_cond_t __gthread_cond_t;
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+static inline int
+__gthread_active_p (void)
+{
+  return 1;
+}
+static inline int
+__gthread_once (__gthread_once_t *once, void (*func) (void))
+{
+  if (__gthread_active_p ())
+    return pthread_once (once, func);
+  else
+    return -1;
+}
+static inline int
+__gthread_key_create (__gthread_key_t *key, void (*dtor) (void *))
+{
+  return pthread_key_create (key, dtor);
+}
+static inline int
+__gthread_key_delete (__gthread_key_t key)
+{
+  return pthread_key_delete (key);
+}
+static inline void *
+__gthread_getspecific (__gthread_key_t key)
+{
+  return pthread_getspecific (key);
+}
+static inline int
+__gthread_setspecific (__gthread_key_t key, const void *ptr)
+{
+  return pthread_setspecific (key, ptr);
+}
+static inline int
+__gthread_mutex_lock (__gthread_mutex_t *mutex)
+{
+  if (__gthread_active_p ())
+    return pthread_mutex_lock (mutex);
+  else
+    return 0;
+}
+static inline int
+__gthread_mutex_trylock (__gthread_mutex_t *mutex)
+{
+  if (__gthread_active_p ())
+    return pthread_mutex_trylock (mutex);
+  else
+    return 0;
+}
+static inline int
+__gthread_mutex_unlock (__gthread_mutex_t *mutex)
+{
+  if (__gthread_active_p ())
+    return pthread_mutex_unlock (mutex);
+  else
+    return 0;
+}
+static inline int
+__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *mutex)
+{
+  return __gthread_mutex_lock (mutex);
+}
+static inline int
+__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *mutex)
+{
+  return __gthread_mutex_trylock (mutex);
+}
+static inline int
+__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *mutex)
+{
+  return __gthread_mutex_unlock (mutex);
+}
+static inline int
+__gthread_cond_broadcast (__gthread_cond_t *cond)
+{
+  return pthread_cond_broadcast (cond);
+}
+static inline int
+__gthread_cond_wait (__gthread_cond_t *cond, __gthread_mutex_t *mutex)
+{
+  return pthread_cond_wait (cond, mutex);
+}
+static inline int
+__gthread_cond_wait_recursive (__gthread_cond_t *cond,
+          __gthread_recursive_mutex_t *mutex)
+{
+  return __gthread_cond_wait (cond, mutex);
+}
+#pragma GCC visibility pop
+typedef int _Atomic_word;
+namespace __gnu_cxx {
+  static inline _Atomic_word
+  __exchange_and_add(volatile _Atomic_word* __mem, int __val)
+  { return __sync_fetch_and_add(__mem, __val); }
+  static inline void
+  __atomic_add(volatile _Atomic_word* __mem, int __val)
+  { __sync_fetch_and_add(__mem, __val); }
+  static inline _Atomic_word
+  __exchange_and_add_single(_Atomic_word* __mem, int __val)
+  {
+    _Atomic_word __result = *__mem;
+    *__mem += __val;
+    return __result;
+  }
+  static inline void
+  __atomic_add_single(_Atomic_word* __mem, int __val)
+  { *__mem += __val; }
+  static inline _Atomic_word
+  __attribute__ ((__unused__))
+  __exchange_and_add_dispatch(_Atomic_word* __mem, int __val)
+  {
+    if (__gthread_active_p())
+      return __exchange_and_add(__mem, __val);
+    else
+      return __exchange_and_add_single(__mem, __val);
+  }
+  static inline void
+  __attribute__ ((__unused__))
+  __atomic_add_dispatch(_Atomic_word* __mem, int __val)
+  {
+    if (__gthread_active_p())
+      __atomic_add(__mem, __val);
+    else
+      __atomic_add_single(__mem, __val);
+  }
+}
+       
+       
+       
+#pragma GCC visibility push(default)
+extern "C++" {
+namespace std
+{
+  class bad_alloc : public exception
+  {
+  public:
+    bad_alloc() throw() { }
+    virtual ~bad_alloc() throw();
+    virtual const char* what() const throw();
+  };
+  struct nothrow_t { };
+  extern const nothrow_t nothrow;
+  typedef void (*new_handler)();
+  new_handler set_new_handler(new_handler) throw();
+}
+void* operator new(std::size_t) throw (std::bad_alloc);
+void* operator new[](std::size_t) throw (std::bad_alloc);
+void operator delete(void*) throw();
+void operator delete[](void*) throw();
+void* operator new(std::size_t, const std::nothrow_t&) throw();
+void* operator new[](std::size_t, const std::nothrow_t&) throw();
+void operator delete(void*, const std::nothrow_t&) throw();
+void operator delete[](void*, const std::nothrow_t&) throw();
+inline void* operator new(std::size_t, void* __p) throw() { return __p; }
+inline void* operator new[](std::size_t, void* __p) throw() { return __p; }
+inline void operator delete (void*, void*) throw() { }
+inline void operator delete[](void*, void*) throw() { }
+}
+#pragma GCC visibility pop
+namespace __gnu_cxx {
+  using std::size_t;
+  using std::ptrdiff_t;
+  template<typename _Tp>
+    class new_allocator
+    {
+    public:
+      typedef size_t size_type;
+      typedef ptrdiff_t difference_type;
+      typedef _Tp* pointer;
+      typedef const _Tp* const_pointer;
+      typedef _Tp& reference;
+      typedef const _Tp& const_reference;
+      typedef _Tp value_type;
+      template<typename _Tp1>
+        struct rebind
+        { typedef new_allocator<_Tp1> other; };
+      new_allocator() throw() { }
+      new_allocator(const new_allocator&) throw() { }
+      template<typename _Tp1>
+        new_allocator(const new_allocator<_Tp1>&) throw() { }
+      ~new_allocator() throw() { }
+      pointer
+      address(reference __x) const { return &__x; }
+      const_pointer
+      address(const_reference __x) const { return &__x; }
+      pointer
+      allocate(size_type __n, const void* = 0)
+      {
+ if (__builtin_expect(__n > this->max_size(), false))
+   std::__throw_bad_alloc();
+ return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp)));
+      }
+      void
+      deallocate(pointer __p, size_type)
+      { ::operator delete(__p); }
+      size_type
+      max_size() const throw()
+      { return size_t(-1) / sizeof(_Tp); }
+      void
+      construct(pointer __p, const _Tp& __val)
+      { ::new((void *)__p) _Tp(__val); }
+      void
+      destroy(pointer __p) { __p->~_Tp(); }
+    };
+  template<typename _Tp>
+    inline bool
+    operator==(const new_allocator<_Tp>&, const new_allocator<_Tp>&)
+    { return true; }
+  template<typename _Tp>
+    inline bool
+    operator!=(const new_allocator<_Tp>&, const new_allocator<_Tp>&)
+    { return false; }
+}
+namespace std {
+  template<typename _Tp>
+    class allocator;
+  template<>
+    class allocator<void>
+    {
+    public:
+      typedef size_t size_type;
+      typedef ptrdiff_t difference_type;
+      typedef void* pointer;
+      typedef const void* const_pointer;
+      typedef void value_type;
+      template<typename _Tp1>
+        struct rebind
+        { typedef allocator<_Tp1> other; };
+    };
+  template<typename _Tp>
+    class allocator: public __gnu_cxx::new_allocator<_Tp>
+    {
+   public:
+      typedef size_t size_type;
+      typedef ptrdiff_t difference_type;
+      typedef _Tp* pointer;
+      typedef const _Tp* const_pointer;
+      typedef _Tp& reference;
+      typedef const _Tp& const_reference;
+      typedef _Tp value_type;
+      template<typename _Tp1>
+        struct rebind
+        { typedef allocator<_Tp1> other; };
+      allocator() throw() { }
+      allocator(const allocator& __a) throw()
+      : __gnu_cxx::new_allocator<_Tp>(__a) { }
+      template<typename _Tp1>
+        allocator(const allocator<_Tp1>&) throw() { }
+      ~allocator() throw() { }
+    };
+  template<typename _T1, typename _T2>
+    inline bool
+    operator==(const allocator<_T1>&, const allocator<_T2>&)
+    { return true; }
+  template<typename _Tp>
+    inline bool
+    operator==(const allocator<_Tp>&, const allocator<_Tp>&)
+    { return true; }
+  template<typename _T1, typename _T2>
+    inline bool
+    operator!=(const allocator<_T1>&, const allocator<_T2>&)
+    { return false; }
+  template<typename _Tp>
+    inline bool
+    operator!=(const allocator<_Tp>&, const allocator<_Tp>&)
+    { return false; }
+  extern template class allocator<char>;
+  extern template class allocator<wchar_t>;
+  template<typename _Alloc, bool = __is_empty(_Alloc)>
+    struct __alloc_swap
+    { static void _S_do_it(_Alloc&, _Alloc&) { } };
+  template<typename _Alloc>
+    struct __alloc_swap<_Alloc, false>
+    {
+      static void
+      _S_do_it(_Alloc& __one, _Alloc& __two)
+      {
+ if (__one != __two)
+   swap(__one, __two);
+      }
+    };
+  template<typename _Alloc, bool = __is_empty(_Alloc)>
+    struct __alloc_neq
+    {
+      static bool
+      _S_do_it(const _Alloc&, const _Alloc&)
+      { return false; }
+    };
+  template<typename _Alloc>
+    struct __alloc_neq<_Alloc, false>
+    {
+      static bool
+      _S_do_it(const _Alloc& __one, const _Alloc& __two)
+      { return __one != __two; }
+    };
+}
+       
+#pragma GCC visibility push(default)
+namespace __cxxabiv1
+{
+  class __forced_unwind
+  {
+    virtual ~__forced_unwind() throw();
+    virtual void __pure_dummy() = 0;
+  };
+}
+#pragma GCC visibility pop
+namespace std {
+  template<typename _CharT, typename _Traits>
+    inline void
+    __ostream_write(basic_ostream<_CharT, _Traits>& __out,
+      const _CharT* __s, streamsize __n)
+    {
+      typedef basic_ostream<_CharT, _Traits> __ostream_type;
+      typedef typename __ostream_type::ios_base __ios_base;
+      const streamsize __put = __out.rdbuf()->sputn(__s, __n);
+      if (__put != __n)
+ __out.setstate(__ios_base::badbit);
+    }
+  template<typename _CharT, typename _Traits>
+    inline void
+    __ostream_fill(basic_ostream<_CharT, _Traits>& __out, streamsize __n)
+    {
+      typedef basic_ostream<_CharT, _Traits> __ostream_type;
+      typedef typename __ostream_type::ios_base __ios_base;
+      const _CharT __c = __out.fill();
+      for (; __n > 0; --__n)
+ {
+   const typename _Traits::int_type __put = __out.rdbuf()->sputc(__c);
+   if (_Traits::eq_int_type(__put, _Traits::eof()))
+     {
+       __out.setstate(__ios_base::badbit);
+       break;
+     }
+ }
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    __ostream_insert(basic_ostream<_CharT, _Traits>& __out,
+       const _CharT* __s, streamsize __n)
+    {
+      typedef basic_ostream<_CharT, _Traits> __ostream_type;
+      typedef typename __ostream_type::ios_base __ios_base;
+      typename __ostream_type::sentry __cerb(__out);
+      if (__cerb)
+ {
+   try
+     {
+       const streamsize __w = __out.width();
+       if (__w > __n)
+  {
+    const bool __left = ((__out.flags()
+     & __ios_base::adjustfield)
+           == __ios_base::left);
+    if (!__left)
+      __ostream_fill(__out, __w - __n);
+    if (__out.good())
+      __ostream_write(__out, __s, __n);
+    if (__left && __out.good())
+      __ostream_fill(__out, __w - __n);
+  }
+       else
+  __ostream_write(__out, __s, __n);
+       __out.width(0);
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       __out._M_setstate(__ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { __out._M_setstate(__ios_base::badbit); }
+ }
+      return __out;
+    }
+  extern template ostream& __ostream_insert(ostream&, const char*, streamsize);
+  extern template wostream& __ostream_insert(wostream&, const wchar_t*,
+          streamsize);
+}
+namespace std {
+  template<typename _Arg, typename _Result>
+    struct unary_function
+    {
+      typedef _Arg argument_type;
+      typedef _Result result_type;
+    };
+  template<typename _Arg1, typename _Arg2, typename _Result>
+    struct binary_function
+    {
+      typedef _Arg1 first_argument_type;
+      typedef _Arg2 second_argument_type;
+      typedef _Result result_type;
+    };
+  template<typename _Tp>
+    struct plus : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x + __y; }
+    };
+  template<typename _Tp>
+    struct minus : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x - __y; }
+    };
+  template<typename _Tp>
+    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x * __y; }
+    };
+  template<typename _Tp>
+    struct divides : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x / __y; }
+    };
+  template<typename _Tp>
+    struct modulus : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x % __y; }
+    };
+  template<typename _Tp>
+    struct negate : public unary_function<_Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x) const
+      { return -__x; }
+    };
+  template<typename _Tp>
+    struct equal_to : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x == __y; }
+    };
+  template<typename _Tp>
+    struct not_equal_to : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x != __y; }
+    };
+  template<typename _Tp>
+    struct greater : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x > __y; }
+    };
+  template<typename _Tp>
+    struct less : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x < __y; }
+    };
+  template<typename _Tp>
+    struct greater_equal : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x >= __y; }
+    };
+  template<typename _Tp>
+    struct less_equal : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x <= __y; }
+    };
+  template<typename _Tp>
+    struct logical_and : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x && __y; }
+    };
+  template<typename _Tp>
+    struct logical_or : public binary_function<_Tp, _Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x || __y; }
+    };
+  template<typename _Tp>
+    struct logical_not : public unary_function<_Tp, bool>
+    {
+      bool
+      operator()(const _Tp& __x) const
+      { return !__x; }
+    };
+  template<typename _Tp>
+    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x & __y; }
+    };
+  template<typename _Tp>
+    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x | __y; }
+    };
+  template<typename _Tp>
+    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
+    {
+      _Tp
+      operator()(const _Tp& __x, const _Tp& __y) const
+      { return __x ^ __y; }
+    };
+  template<typename _Predicate>
+    class unary_negate
+    : public unary_function<typename _Predicate::argument_type, bool>
+    {
+    protected:
+      _Predicate _M_pred;
+    public:
+      explicit
+      unary_negate(const _Predicate& __x) : _M_pred(__x) { }
+      bool
+      operator()(const typename _Predicate::argument_type& __x) const
+      { return !_M_pred(__x); }
+    };
+  template<typename _Predicate>
+    inline unary_negate<_Predicate>
+    not1(const _Predicate& __pred)
+    { return unary_negate<_Predicate>(__pred); }
+  template<typename _Predicate>
+    class binary_negate
+    : public binary_function<typename _Predicate::first_argument_type,
+        typename _Predicate::second_argument_type, bool>
+    {
+    protected:
+      _Predicate _M_pred;
+    public:
+      explicit
+      binary_negate(const _Predicate& __x) : _M_pred(__x) { }
+      bool
+      operator()(const typename _Predicate::first_argument_type& __x,
+   const typename _Predicate::second_argument_type& __y) const
+      { return !_M_pred(__x, __y); }
+    };
+  template<typename _Predicate>
+    inline binary_negate<_Predicate>
+    not2(const _Predicate& __pred)
+    { return binary_negate<_Predicate>(__pred); }
+  template<typename _Arg, typename _Result>
+    class pointer_to_unary_function : public unary_function<_Arg, _Result>
+    {
+    protected:
+      _Result (*_M_ptr)(_Arg);
+    public:
+      pointer_to_unary_function() { }
+      explicit
+      pointer_to_unary_function(_Result (*__x)(_Arg))
+      : _M_ptr(__x) { }
+      _Result
+      operator()(_Arg __x) const
+      { return _M_ptr(__x); }
+    };
+  template<typename _Arg, typename _Result>
+    inline pointer_to_unary_function<_Arg, _Result>
+    ptr_fun(_Result (*__x)(_Arg))
+    { return pointer_to_unary_function<_Arg, _Result>(__x); }
+  template<typename _Arg1, typename _Arg2, typename _Result>
+    class pointer_to_binary_function
+    : public binary_function<_Arg1, _Arg2, _Result>
+    {
+    protected:
+      _Result (*_M_ptr)(_Arg1, _Arg2);
+    public:
+      pointer_to_binary_function() { }
+      explicit
+      pointer_to_binary_function(_Result (*__x)(_Arg1, _Arg2))
+      : _M_ptr(__x) { }
+      _Result
+      operator()(_Arg1 __x, _Arg2 __y) const
+      { return _M_ptr(__x, __y); }
+    };
+  template<typename _Arg1, typename _Arg2, typename _Result>
+    inline pointer_to_binary_function<_Arg1, _Arg2, _Result>
+    ptr_fun(_Result (*__x)(_Arg1, _Arg2))
+    { return pointer_to_binary_function<_Arg1, _Arg2, _Result>(__x); }
+  template<typename _Tp>
+    struct _Identity : public unary_function<_Tp,_Tp>
+    {
+      _Tp&
+      operator()(_Tp& __x) const
+      { return __x; }
+      const _Tp&
+      operator()(const _Tp& __x) const
+      { return __x; }
+    };
+  template<typename _Pair>
+    struct _Select1st : public unary_function<_Pair,
+           typename _Pair::first_type>
+    {
+      typename _Pair::first_type&
+      operator()(_Pair& __x) const
+      { return __x.first; }
+      const typename _Pair::first_type&
+      operator()(const _Pair& __x) const
+      { return __x.first; }
+    };
+  template<typename _Pair>
+    struct _Select2nd : public unary_function<_Pair,
+           typename _Pair::second_type>
+    {
+      typename _Pair::second_type&
+      operator()(_Pair& __x) const
+      { return __x.second; }
+      const typename _Pair::second_type&
+      operator()(const _Pair& __x) const
+      { return __x.second; }
+    };
+  template<typename _Ret, typename _Tp>
+    class mem_fun_t : public unary_function<_Tp*, _Ret>
+    {
+    public:
+      explicit
+      mem_fun_t(_Ret (_Tp::*__pf)())
+      : _M_f(__pf) { }
+      _Ret
+      operator()(_Tp* __p) const
+      { return (__p->*_M_f)(); }
+    private:
+      _Ret (_Tp::*_M_f)();
+    };
+  template<typename _Ret, typename _Tp>
+    class const_mem_fun_t : public unary_function<const _Tp*, _Ret>
+    {
+    public:
+      explicit
+      const_mem_fun_t(_Ret (_Tp::*__pf)() const)
+      : _M_f(__pf) { }
+      _Ret
+      operator()(const _Tp* __p) const
+      { return (__p->*_M_f)(); }
+    private:
+      _Ret (_Tp::*_M_f)() const;
+    };
+  template<typename _Ret, typename _Tp>
+    class mem_fun_ref_t : public unary_function<_Tp, _Ret>
+    {
+    public:
+      explicit
+      mem_fun_ref_t(_Ret (_Tp::*__pf)())
+      : _M_f(__pf) { }
+      _Ret
+      operator()(_Tp& __r) const
+      { return (__r.*_M_f)(); }
+    private:
+      _Ret (_Tp::*_M_f)();
+  };
+  template<typename _Ret, typename _Tp>
+    class const_mem_fun_ref_t : public unary_function<_Tp, _Ret>
+    {
+    public:
+      explicit
+      const_mem_fun_ref_t(_Ret (_Tp::*__pf)() const)
+      : _M_f(__pf) { }
+      _Ret
+      operator()(const _Tp& __r) const
+      { return (__r.*_M_f)(); }
+    private:
+      _Ret (_Tp::*_M_f)() const;
+    };
+  template<typename _Ret, typename _Tp, typename _Arg>
+    class mem_fun1_t : public binary_function<_Tp*, _Arg, _Ret>
+    {
+    public:
+      explicit
+      mem_fun1_t(_Ret (_Tp::*__pf)(_Arg))
+      : _M_f(__pf) { }
+      _Ret
+      operator()(_Tp* __p, _Arg __x) const
+      { return (__p->*_M_f)(__x); }
+    private:
+      _Ret (_Tp::*_M_f)(_Arg);
+    };
+  template<typename _Ret, typename _Tp, typename _Arg>
+    class const_mem_fun1_t : public binary_function<const _Tp*, _Arg, _Ret>
+    {
+    public:
+      explicit
+      const_mem_fun1_t(_Ret (_Tp::*__pf)(_Arg) const)
+      : _M_f(__pf) { }
+      _Ret
+      operator()(const _Tp* __p, _Arg __x) const
+      { return (__p->*_M_f)(__x); }
+    private:
+      _Ret (_Tp::*_M_f)(_Arg) const;
+    };
+  template<typename _Ret, typename _Tp, typename _Arg>
+    class mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
+    {
+    public:
+      explicit
+      mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg))
+      : _M_f(__pf) { }
+      _Ret
+      operator()(_Tp& __r, _Arg __x) const
+      { return (__r.*_M_f)(__x); }
+    private:
+      _Ret (_Tp::*_M_f)(_Arg);
+    };
+  template<typename _Ret, typename _Tp, typename _Arg>
+    class const_mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
+    {
+    public:
+      explicit
+      const_mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg) const)
+      : _M_f(__pf) { }
+      _Ret
+      operator()(const _Tp& __r, _Arg __x) const
+      { return (__r.*_M_f)(__x); }
+    private:
+      _Ret (_Tp::*_M_f)(_Arg) const;
+    };
+  template<typename _Ret, typename _Tp>
+    inline mem_fun_t<_Ret, _Tp>
+    mem_fun(_Ret (_Tp::*__f)())
+    { return mem_fun_t<_Ret, _Tp>(__f); }
+  template<typename _Ret, typename _Tp>
+    inline const_mem_fun_t<_Ret, _Tp>
+    mem_fun(_Ret (_Tp::*__f)() const)
+    { return const_mem_fun_t<_Ret, _Tp>(__f); }
+  template<typename _Ret, typename _Tp>
+    inline mem_fun_ref_t<_Ret, _Tp>
+    mem_fun_ref(_Ret (_Tp::*__f)())
+    { return mem_fun_ref_t<_Ret, _Tp>(__f); }
+  template<typename _Ret, typename _Tp>
+    inline const_mem_fun_ref_t<_Ret, _Tp>
+    mem_fun_ref(_Ret (_Tp::*__f)() const)
+    { return const_mem_fun_ref_t<_Ret, _Tp>(__f); }
+  template<typename _Ret, typename _Tp, typename _Arg>
+    inline mem_fun1_t<_Ret, _Tp, _Arg>
+    mem_fun(_Ret (_Tp::*__f)(_Arg))
+    { return mem_fun1_t<_Ret, _Tp, _Arg>(__f); }
+  template<typename _Ret, typename _Tp, typename _Arg>
+    inline const_mem_fun1_t<_Ret, _Tp, _Arg>
+    mem_fun(_Ret (_Tp::*__f)(_Arg) const)
+    { return const_mem_fun1_t<_Ret, _Tp, _Arg>(__f); }
+  template<typename _Ret, typename _Tp, typename _Arg>
+    inline mem_fun1_ref_t<_Ret, _Tp, _Arg>
+    mem_fun_ref(_Ret (_Tp::*__f)(_Arg))
+    { return mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }
+  template<typename _Ret, typename _Tp, typename _Arg>
+    inline const_mem_fun1_ref_t<_Ret, _Tp, _Arg>
+    mem_fun_ref(_Ret (_Tp::*__f)(_Arg) const)
+    { return const_mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }
+}
+namespace std {
+  template<typename _Operation>
+    class binder1st
+    : public unary_function<typename _Operation::second_argument_type,
+       typename _Operation::result_type>
+    {
+    protected:
+      _Operation op;
+      typename _Operation::first_argument_type value;
+    public:
+      binder1st(const _Operation& __x,
+  const typename _Operation::first_argument_type& __y)
+      : op(__x), value(__y) { }
+      typename _Operation::result_type
+      operator()(const typename _Operation::second_argument_type& __x) const
+      { return op(value, __x); }
+      typename _Operation::result_type
+      operator()(typename _Operation::second_argument_type& __x) const
+      { return op(value, __x); }
+    } ;
+  template<typename _Operation, typename _Tp>
+    inline binder1st<_Operation>
+    bind1st(const _Operation& __fn, const _Tp& __x)
+    {
+      typedef typename _Operation::first_argument_type _Arg1_type;
+      return binder1st<_Operation>(__fn, _Arg1_type(__x));
+    }
+  template<typename _Operation>
+    class binder2nd
+    : public unary_function<typename _Operation::first_argument_type,
+       typename _Operation::result_type>
+    {
+    protected:
+      _Operation op;
+      typename _Operation::second_argument_type value;
+    public:
+      binder2nd(const _Operation& __x,
+  const typename _Operation::second_argument_type& __y)
+      : op(__x), value(__y) { }
+      typename _Operation::result_type
+      operator()(const typename _Operation::first_argument_type& __x) const
+      { return op(__x, value); }
+      typename _Operation::result_type
+      operator()(typename _Operation::first_argument_type& __x) const
+      { return op(__x, value); }
+    } ;
+  template<typename _Operation, typename _Tp>
+    inline binder2nd<_Operation>
+    bind2nd(const _Operation& __fn, const _Tp& __x)
+    {
+      typedef typename _Operation::second_argument_type _Arg2_type;
+      return binder2nd<_Operation>(__fn, _Arg2_type(__x));
+    }
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    class basic_string
+    {
+      typedef typename _Alloc::template rebind<_CharT>::other _CharT_alloc_type;
+    public:
+      typedef _Traits traits_type;
+      typedef typename _Traits::char_type value_type;
+      typedef _Alloc allocator_type;
+      typedef typename _CharT_alloc_type::size_type size_type;
+      typedef typename _CharT_alloc_type::difference_type difference_type;
+      typedef typename _CharT_alloc_type::reference reference;
+      typedef typename _CharT_alloc_type::const_reference const_reference;
+      typedef typename _CharT_alloc_type::pointer pointer;
+      typedef typename _CharT_alloc_type::const_pointer const_pointer;
+      typedef __gnu_cxx::__normal_iterator<pointer, basic_string> iterator;
+      typedef __gnu_cxx::__normal_iterator<const_pointer, basic_string>
+                                                            const_iterator;
+      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+      typedef std::reverse_iterator<iterator> reverse_iterator;
+    private:
+      struct _Rep_base
+      {
+ size_type _M_length;
+ size_type _M_capacity;
+ _Atomic_word _M_refcount;
+      };
+      struct _Rep : _Rep_base
+      {
+ typedef typename _Alloc::template rebind<char>::other _Raw_bytes_alloc;
+ static const size_type _S_max_size;
+ static const _CharT _S_terminal;
+        static size_type _S_empty_rep_storage[];
+        static _Rep&
+        _S_empty_rep()
+        {
+   void* __p = reinterpret_cast<void*>(&_S_empty_rep_storage);
+   return *reinterpret_cast<_Rep*>(__p);
+ }
+        bool
+ _M_is_leaked() const
+        { return this->_M_refcount < 0; }
+        bool
+ _M_is_shared() const
+        { return this->_M_refcount > 0; }
+        void
+ _M_set_leaked()
+        { this->_M_refcount = -1; }
+        void
+ _M_set_sharable()
+        { this->_M_refcount = 0; }
+ void
+ _M_set_length_and_sharable(size_type __n)
+ {
+   this->_M_set_sharable();
+   this->_M_length = __n;
+   traits_type::assign(this->_M_refdata()[__n], _S_terminal);
+ }
+ _CharT*
+ _M_refdata() throw()
+ { return reinterpret_cast<_CharT*>(this + 1); }
+ _CharT*
+ _M_grab(const _Alloc& __alloc1, const _Alloc& __alloc2)
+ {
+   return (!_M_is_leaked() && __alloc1 == __alloc2)
+           ? _M_refcopy() : _M_clone(__alloc1);
+ }
+ static _Rep*
+ _S_create(size_type, size_type, const _Alloc&);
+ void
+ _M_dispose(const _Alloc& __a)
+ {
+   if (__gnu_cxx::__exchange_and_add_dispatch(&this->_M_refcount, -1) <= 0)
+     _M_destroy(__a);
+ }
+ void
+ _M_destroy(const _Alloc&) throw();
+ _CharT*
+ _M_refcopy() throw()
+ {
+   __gnu_cxx::__atomic_add_dispatch(&this->_M_refcount, 1);
+   return _M_refdata();
+ }
+ _CharT*
+ _M_clone(const _Alloc&, size_type __res = 0);
+      };
+      struct _Alloc_hider : _Alloc
+      {
+ _Alloc_hider(_CharT* __dat, const _Alloc& __a)
+ : _Alloc(__a), _M_p(__dat) { }
+ _CharT* _M_p;
+      };
+    public:
+      static const size_type npos = static_cast<size_type>(-1);
+    private:
+      mutable _Alloc_hider _M_dataplus;
+      _CharT*
+      _M_data() const
+      { return _M_dataplus._M_p; }
+      _CharT*
+      _M_data(_CharT* __p)
+      { return (_M_dataplus._M_p = __p); }
+      _Rep*
+      _M_rep() const
+      { return &((reinterpret_cast<_Rep*> (_M_data()))[-1]); }
+      iterator
+      _M_ibegin() const
+      { return iterator(_M_data()); }
+      iterator
+      _M_iend() const
+      { return iterator(_M_data() + this->size()); }
+      void
+      _M_leak()
+      {
+ if (!_M_rep()->_M_is_leaked())
+   _M_leak_hard();
+      }
+      size_type
+      _M_check(size_type __pos, const char* __s) const
+      {
+ if (__pos > this->size())
+   __throw_out_of_range((__s));
+ return __pos;
+      }
+      void
+      _M_check_length(size_type __n1, size_type __n2, const char* __s) const
+      {
+ if (this->max_size() - (this->size() - __n1) < __n2)
+   __throw_length_error((__s));
+      }
+      size_type
+      _M_limit(size_type __pos, size_type __off) const
+      {
+ const bool __testoff = __off < this->size() - __pos;
+ return __testoff ? __off : this->size() - __pos;
+      }
+      bool
+      _M_disjunct(const _CharT* __s) const
+      {
+ return (less<const _CharT*>()(__s, _M_data())
+  || less<const _CharT*>()(_M_data() + this->size(), __s));
+      }
+      static void
+      _M_copy(_CharT* __d, const _CharT* __s, size_type __n)
+      {
+ if (__n == 1)
+   traits_type::assign(*__d, *__s);
+ else
+   traits_type::copy(__d, __s, __n);
+      }
+      static void
+      _M_move(_CharT* __d, const _CharT* __s, size_type __n)
+      {
+ if (__n == 1)
+   traits_type::assign(*__d, *__s);
+ else
+   traits_type::move(__d, __s, __n);
+      }
+      static void
+      _M_assign(_CharT* __d, size_type __n, _CharT __c)
+      {
+ if (__n == 1)
+   traits_type::assign(*__d, __c);
+ else
+   traits_type::assign(__d, __n, __c);
+      }
+      template<class _Iterator>
+        static void
+        _S_copy_chars(_CharT* __p, _Iterator __k1, _Iterator __k2)
+        {
+   for (; __k1 != __k2; ++__k1, ++__p)
+     traits_type::assign(*__p, *__k1);
+ }
+      static void
+      _S_copy_chars(_CharT* __p, iterator __k1, iterator __k2)
+      { _S_copy_chars(__p, __k1.base(), __k2.base()); }
+      static void
+      _S_copy_chars(_CharT* __p, const_iterator __k1, const_iterator __k2)
+      { _S_copy_chars(__p, __k1.base(), __k2.base()); }
+      static void
+      _S_copy_chars(_CharT* __p, _CharT* __k1, _CharT* __k2)
+      { _M_copy(__p, __k1, __k2 - __k1); }
+      static void
+      _S_copy_chars(_CharT* __p, const _CharT* __k1, const _CharT* __k2)
+      { _M_copy(__p, __k1, __k2 - __k1); }
+      static int
+      _S_compare(size_type __n1, size_type __n2)
+      {
+ const difference_type __d = difference_type(__n1 - __n2);
+ if (__d > __gnu_cxx::__numeric_traits<int>::__max)
+   return __gnu_cxx::__numeric_traits<int>::__max;
+ else if (__d < __gnu_cxx::__numeric_traits<int>::__min)
+   return __gnu_cxx::__numeric_traits<int>::__min;
+ else
+   return int(__d);
+      }
+      void
+      _M_mutate(size_type __pos, size_type __len1, size_type __len2);
+      void
+      _M_leak_hard();
+      static _Rep&
+      _S_empty_rep()
+      { return _Rep::_S_empty_rep(); }
+    public:
+      inline
+      basic_string();
+      explicit
+      basic_string(const _Alloc& __a);
+      basic_string(const basic_string& __str);
+      basic_string(const basic_string& __str, size_type __pos,
+     size_type __n = npos);
+      basic_string(const basic_string& __str, size_type __pos,
+     size_type __n, const _Alloc& __a);
+      basic_string(const _CharT* __s, size_type __n,
+     const _Alloc& __a = _Alloc());
+      basic_string(const _CharT* __s, const _Alloc& __a = _Alloc());
+      basic_string(size_type __n, _CharT __c, const _Alloc& __a = _Alloc());
+      template<class _InputIterator>
+        basic_string(_InputIterator __beg, _InputIterator __end,
+       const _Alloc& __a = _Alloc());
+      ~basic_string()
+      { _M_rep()->_M_dispose(this->get_allocator()); }
+      basic_string&
+      operator=(const basic_string& __str)
+      { return this->assign(__str); }
+      basic_string&
+      operator=(const _CharT* __s)
+      { return this->assign(__s); }
+      basic_string&
+      operator=(_CharT __c)
+      {
+ this->assign(1, __c);
+ return *this;
+      }
+      iterator
+      begin()
+      {
+ _M_leak();
+ return iterator(_M_data());
+      }
+      const_iterator
+      begin() const
+      { return const_iterator(_M_data()); }
+      iterator
+      end()
+      {
+ _M_leak();
+ return iterator(_M_data() + this->size());
+      }
+      const_iterator
+      end() const
+      { return const_iterator(_M_data() + this->size()); }
+      reverse_iterator
+      rbegin()
+      { return reverse_iterator(this->end()); }
+      const_reverse_iterator
+      rbegin() const
+      { return const_reverse_iterator(this->end()); }
+      reverse_iterator
+      rend()
+      { return reverse_iterator(this->begin()); }
+      const_reverse_iterator
+      rend() const
+      { return const_reverse_iterator(this->begin()); }
+    public:
+      size_type
+      size() const
+      { return _M_rep()->_M_length; }
+      size_type
+      length() const
+      { return _M_rep()->_M_length; }
+      size_type
+      max_size() const
+      { return _Rep::_S_max_size; }
+      void
+      resize(size_type __n, _CharT __c);
+      void
+      resize(size_type __n)
+      { this->resize(__n, _CharT()); }
+      size_type
+      capacity() const
+      { return _M_rep()->_M_capacity; }
+      void
+      reserve(size_type __res_arg = 0);
+      void
+      clear()
+      { _M_mutate(0, this->size(), 0); }
+      bool
+      empty() const
+      { return this->size() == 0; }
+      const_reference
+      operator[] (size_type __pos) const
+      {
+ ;
+ return _M_data()[__pos];
+      }
+      reference
+      operator[](size_type __pos)
+      {
+ ;
+ ;
+ _M_leak();
+ return _M_data()[__pos];
+      }
+      const_reference
+      at(size_type __n) const
+      {
+ if (__n >= this->size())
+   __throw_out_of_range(("basic_string::at"));
+ return _M_data()[__n];
+      }
+      reference
+      at(size_type __n)
+      {
+ if (__n >= size())
+   __throw_out_of_range(("basic_string::at"));
+ _M_leak();
+ return _M_data()[__n];
+      }
+      basic_string&
+      operator+=(const basic_string& __str)
+      { return this->append(__str); }
+      basic_string&
+      operator+=(const _CharT* __s)
+      { return this->append(__s); }
+      basic_string&
+      operator+=(_CharT __c)
+      {
+ this->push_back(__c);
+ return *this;
+      }
+      basic_string&
+      append(const basic_string& __str);
+      basic_string&
+      append(const basic_string& __str, size_type __pos, size_type __n);
+      basic_string&
+      append(const _CharT* __s, size_type __n);
+      basic_string&
+      append(const _CharT* __s)
+      {
+ ;
+ return this->append(__s, traits_type::length(__s));
+      }
+      basic_string&
+      append(size_type __n, _CharT __c);
+      template<class _InputIterator>
+        basic_string&
+        append(_InputIterator __first, _InputIterator __last)
+        { return this->replace(_M_iend(), _M_iend(), __first, __last); }
+      void
+      push_back(_CharT __c)
+      {
+ const size_type __len = 1 + this->size();
+ if (__len > this->capacity() || _M_rep()->_M_is_shared())
+   this->reserve(__len);
+ traits_type::assign(_M_data()[this->size()], __c);
+ _M_rep()->_M_set_length_and_sharable(__len);
+      }
+      basic_string&
+      assign(const basic_string& __str);
+      basic_string&
+      assign(const basic_string& __str, size_type __pos, size_type __n)
+      { return this->assign(__str._M_data()
+       + __str._M_check(__pos, "basic_string::assign"),
+       __str._M_limit(__pos, __n)); }
+      basic_string&
+      assign(const _CharT* __s, size_type __n);
+      basic_string&
+      assign(const _CharT* __s)
+      {
+ ;
+ return this->assign(__s, traits_type::length(__s));
+      }
+      basic_string&
+      assign(size_type __n, _CharT __c)
+      { return _M_replace_aux(size_type(0), this->size(), __n, __c); }
+      template<class _InputIterator>
+        basic_string&
+        assign(_InputIterator __first, _InputIterator __last)
+        { return this->replace(_M_ibegin(), _M_iend(), __first, __last); }
+      void
+      insert(iterator __p, size_type __n, _CharT __c)
+      { this->replace(__p, __p, __n, __c); }
+      template<class _InputIterator>
+        void
+        insert(iterator __p, _InputIterator __beg, _InputIterator __end)
+        { this->replace(__p, __p, __beg, __end); }
+      basic_string&
+      insert(size_type __pos1, const basic_string& __str)
+      { return this->insert(__pos1, __str, size_type(0), __str.size()); }
+      basic_string&
+      insert(size_type __pos1, const basic_string& __str,
+      size_type __pos2, size_type __n)
+      { return this->insert(__pos1, __str._M_data()
+       + __str._M_check(__pos2, "basic_string::insert"),
+       __str._M_limit(__pos2, __n)); }
+      basic_string&
+      insert(size_type __pos, const _CharT* __s, size_type __n);
+      basic_string&
+      insert(size_type __pos, const _CharT* __s)
+      {
+ ;
+ return this->insert(__pos, __s, traits_type::length(__s));
+      }
+      basic_string&
+      insert(size_type __pos, size_type __n, _CharT __c)
+      { return _M_replace_aux(_M_check(__pos, "basic_string::insert"),
+         size_type(0), __n, __c); }
+      iterator
+      insert(iterator __p, _CharT __c)
+      {
+ ;
+ const size_type __pos = __p - _M_ibegin();
+ _M_replace_aux(__pos, size_type(0), size_type(1), __c);
+ _M_rep()->_M_set_leaked();
+ return iterator(_M_data() + __pos);
+      }
+      basic_string&
+      erase(size_type __pos = 0, size_type __n = npos)
+      {
+ _M_mutate(_M_check(__pos, "basic_string::erase"),
+    _M_limit(__pos, __n), size_type(0));
+ return *this;
+      }
+      iterator
+      erase(iterator __position)
+      {
+ ;
+ const size_type __pos = __position - _M_ibegin();
+ _M_mutate(__pos, size_type(1), size_type(0));
+ _M_rep()->_M_set_leaked();
+ return iterator(_M_data() + __pos);
+      }
+      iterator
+      erase(iterator __first, iterator __last)
+      {
+ ;
+        const size_type __pos = __first - _M_ibegin();
+ _M_mutate(__pos, __last - __first, size_type(0));
+ _M_rep()->_M_set_leaked();
+ return iterator(_M_data() + __pos);
+      }
+      basic_string&
+      replace(size_type __pos, size_type __n, const basic_string& __str)
+      { return this->replace(__pos, __n, __str._M_data(), __str.size()); }
+      basic_string&
+      replace(size_type __pos1, size_type __n1, const basic_string& __str,
+       size_type __pos2, size_type __n2)
+      { return this->replace(__pos1, __n1, __str._M_data()
+        + __str._M_check(__pos2, "basic_string::replace"),
+        __str._M_limit(__pos2, __n2)); }
+      basic_string&
+      replace(size_type __pos, size_type __n1, const _CharT* __s,
+       size_type __n2);
+      basic_string&
+      replace(size_type __pos, size_type __n1, const _CharT* __s)
+      {
+ ;
+ return this->replace(__pos, __n1, __s, traits_type::length(__s));
+      }
+      basic_string&
+      replace(size_type __pos, size_type __n1, size_type __n2, _CharT __c)
+      { return _M_replace_aux(_M_check(__pos, "basic_string::replace"),
+         _M_limit(__pos, __n1), __n2, __c); }
+      basic_string&
+      replace(iterator __i1, iterator __i2, const basic_string& __str)
+      { return this->replace(__i1, __i2, __str._M_data(), __str.size()); }
+      basic_string&
+      replace(iterator __i1, iterator __i2, const _CharT* __s, size_type __n)
+      {
+ ;
+ return this->replace(__i1 - _M_ibegin(), __i2 - __i1, __s, __n);
+      }
+      basic_string&
+      replace(iterator __i1, iterator __i2, const _CharT* __s)
+      {
+ ;
+ return this->replace(__i1, __i2, __s, traits_type::length(__s));
+      }
+      basic_string&
+      replace(iterator __i1, iterator __i2, size_type __n, _CharT __c)
+      {
+ ;
+ return _M_replace_aux(__i1 - _M_ibegin(), __i2 - __i1, __n, __c);
+      }
+      template<class _InputIterator>
+        basic_string&
+        replace(iterator __i1, iterator __i2,
+  _InputIterator __k1, _InputIterator __k2)
+        {
+   ;
+   ;
+   typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+   return _M_replace_dispatch(__i1, __i2, __k1, __k2, _Integral());
+ }
+      basic_string&
+      replace(iterator __i1, iterator __i2, _CharT* __k1, _CharT* __k2)
+      {
+ ;
+ ;
+ return this->replace(__i1 - _M_ibegin(), __i2 - __i1,
+        __k1, __k2 - __k1);
+      }
+      basic_string&
+      replace(iterator __i1, iterator __i2,
+       const _CharT* __k1, const _CharT* __k2)
+      {
+ ;
+ ;
+ return this->replace(__i1 - _M_ibegin(), __i2 - __i1,
+        __k1, __k2 - __k1);
+      }
+      basic_string&
+      replace(iterator __i1, iterator __i2, iterator __k1, iterator __k2)
+      {
+ ;
+ ;
+ return this->replace(__i1 - _M_ibegin(), __i2 - __i1,
+        __k1.base(), __k2 - __k1);
+      }
+      basic_string&
+      replace(iterator __i1, iterator __i2,
+       const_iterator __k1, const_iterator __k2)
+      {
+ ;
+ ;
+ return this->replace(__i1 - _M_ibegin(), __i2 - __i1,
+        __k1.base(), __k2 - __k1);
+      }
+    private:
+      template<class _Integer>
+ basic_string&
+ _M_replace_dispatch(iterator __i1, iterator __i2, _Integer __n,
+       _Integer __val, __true_type)
+        { return _M_replace_aux(__i1 - _M_ibegin(), __i2 - __i1, __n, __val); }
+      template<class _InputIterator>
+ basic_string&
+ _M_replace_dispatch(iterator __i1, iterator __i2, _InputIterator __k1,
+       _InputIterator __k2, __false_type);
+      basic_string&
+      _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
+       _CharT __c);
+      basic_string&
+      _M_replace_safe(size_type __pos1, size_type __n1, const _CharT* __s,
+        size_type __n2);
+      template<class _InIterator>
+        static _CharT*
+        _S_construct_aux(_InIterator __beg, _InIterator __end,
+    const _Alloc& __a, __false_type)
+ {
+          typedef typename iterator_traits<_InIterator>::iterator_category _Tag;
+          return _S_construct(__beg, __end, __a, _Tag());
+ }
+      template<class _Integer>
+        static _CharT*
+        _S_construct_aux(_Integer __beg, _Integer __end,
+    const _Alloc& __a, __true_type)
+        { return _S_construct(static_cast<size_type>(__beg), __end, __a); }
+      template<class _InIterator>
+        static _CharT*
+        _S_construct(_InIterator __beg, _InIterator __end, const _Alloc& __a)
+ {
+   typedef typename std::__is_integer<_InIterator>::__type _Integral;
+   return _S_construct_aux(__beg, __end, __a, _Integral());
+        }
+      template<class _InIterator>
+        static _CharT*
+         _S_construct(_InIterator __beg, _InIterator __end, const _Alloc& __a,
+        input_iterator_tag);
+      template<class _FwdIterator>
+        static _CharT*
+        _S_construct(_FwdIterator __beg, _FwdIterator __end, const _Alloc& __a,
+       forward_iterator_tag);
+      static _CharT*
+      _S_construct(size_type __req, _CharT __c, const _Alloc& __a);
+    public:
+      size_type
+      copy(_CharT* __s, size_type __n, size_type __pos = 0) const;
+      void
+      swap(basic_string& __s);
+      const _CharT*
+      c_str() const
+      { return _M_data(); }
+      const _CharT*
+      data() const
+      { return _M_data(); }
+      allocator_type
+      get_allocator() const
+      { return _M_dataplus; }
+      size_type
+      find(const _CharT* __s, size_type __pos, size_type __n) const;
+      size_type
+      find(const basic_string& __str, size_type __pos = 0) const
+      { return this->find(__str.data(), __pos, __str.size()); }
+      size_type
+      find(const _CharT* __s, size_type __pos = 0) const
+      {
+ ;
+ return this->find(__s, __pos, traits_type::length(__s));
+      }
+      size_type
+      find(_CharT __c, size_type __pos = 0) const;
+      size_type
+      rfind(const basic_string& __str, size_type __pos = npos) const
+      { return this->rfind(__str.data(), __pos, __str.size()); }
+      size_type
+      rfind(const _CharT* __s, size_type __pos, size_type __n) const;
+      size_type
+      rfind(const _CharT* __s, size_type __pos = npos) const
+      {
+ ;
+ return this->rfind(__s, __pos, traits_type::length(__s));
+      }
+      size_type
+      rfind(_CharT __c, size_type __pos = npos) const;
+      size_type
+      find_first_of(const basic_string& __str, size_type __pos = 0) const
+      { return this->find_first_of(__str.data(), __pos, __str.size()); }
+      size_type
+      find_first_of(const _CharT* __s, size_type __pos, size_type __n) const;
+      size_type
+      find_first_of(const _CharT* __s, size_type __pos = 0) const
+      {
+ ;
+ return this->find_first_of(__s, __pos, traits_type::length(__s));
+      }
+      size_type
+      find_first_of(_CharT __c, size_type __pos = 0) const
+      { return this->find(__c, __pos); }
+      size_type
+      find_last_of(const basic_string& __str, size_type __pos = npos) const
+      { return this->find_last_of(__str.data(), __pos, __str.size()); }
+      size_type
+      find_last_of(const _CharT* __s, size_type __pos, size_type __n) const;
+      size_type
+      find_last_of(const _CharT* __s, size_type __pos = npos) const
+      {
+ ;
+ return this->find_last_of(__s, __pos, traits_type::length(__s));
+      }
+      size_type
+      find_last_of(_CharT __c, size_type __pos = npos) const
+      { return this->rfind(__c, __pos); }
+      size_type
+      find_first_not_of(const basic_string& __str, size_type __pos = 0) const
+      { return this->find_first_not_of(__str.data(), __pos, __str.size()); }
+      size_type
+      find_first_not_of(const _CharT* __s, size_type __pos,
+   size_type __n) const;
+      size_type
+      find_first_not_of(const _CharT* __s, size_type __pos = 0) const
+      {
+ ;
+ return this->find_first_not_of(__s, __pos, traits_type::length(__s));
+      }
+      size_type
+      find_first_not_of(_CharT __c, size_type __pos = 0) const;
+      size_type
+      find_last_not_of(const basic_string& __str, size_type __pos = npos) const
+      { return this->find_last_not_of(__str.data(), __pos, __str.size()); }
+      size_type
+      find_last_not_of(const _CharT* __s, size_type __pos,
+         size_type __n) const;
+      size_type
+      find_last_not_of(const _CharT* __s, size_type __pos = npos) const
+      {
+ ;
+ return this->find_last_not_of(__s, __pos, traits_type::length(__s));
+      }
+      size_type
+      find_last_not_of(_CharT __c, size_type __pos = npos) const;
+      basic_string
+      substr(size_type __pos = 0, size_type __n = npos) const
+      { return basic_string(*this,
+       _M_check(__pos, "basic_string::substr"), __n); }
+      int
+      compare(const basic_string& __str) const
+      {
+ const size_type __size = this->size();
+ const size_type __osize = __str.size();
+ const size_type __len = std::min(__size, __osize);
+ int __r = traits_type::compare(_M_data(), __str.data(), __len);
+ if (!__r)
+   __r = _S_compare(__size, __osize);
+ return __r;
+      }
+      int
+      compare(size_type __pos, size_type __n, const basic_string& __str) const;
+      int
+      compare(size_type __pos1, size_type __n1, const basic_string& __str,
+       size_type __pos2, size_type __n2) const;
+      int
+      compare(const _CharT* __s) const;
+      int
+      compare(size_type __pos, size_type __n1, const _CharT* __s) const;
+      int
+      compare(size_type __pos, size_type __n1, const _CharT* __s,
+       size_type __n2) const;
+  };
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline basic_string<_CharT, _Traits, _Alloc>::
+    basic_string()
+    : _M_dataplus(_S_empty_rep()._M_refcopy(), _Alloc()) { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>
+    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    {
+      basic_string<_CharT, _Traits, _Alloc> __str(__lhs);
+      __str.append(__rhs);
+      return __str;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT,_Traits,_Alloc>
+    operator+(const _CharT* __lhs,
+       const basic_string<_CharT,_Traits,_Alloc>& __rhs);
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT,_Traits,_Alloc>
+    operator+(_CharT __lhs, const basic_string<_CharT,_Traits,_Alloc>& __rhs);
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline basic_string<_CharT, _Traits, _Alloc>
+    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+      const _CharT* __rhs)
+    {
+      basic_string<_CharT, _Traits, _Alloc> __str(__lhs);
+      __str.append(__rhs);
+      return __str;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline basic_string<_CharT, _Traits, _Alloc>
+    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs, _CharT __rhs)
+    {
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef typename __string_type::size_type __size_type;
+      __string_type __str(__lhs);
+      __str.append(__size_type(1), __rhs);
+      return __str;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __lhs.compare(__rhs) == 0; }
+  template<typename _CharT>
+    inline
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value, bool>::__type
+    operator==(const basic_string<_CharT>& __lhs,
+        const basic_string<_CharT>& __rhs)
+    { return (__lhs.size() == __rhs.size()
+       && !std::char_traits<_CharT>::compare(__lhs.data(), __rhs.data(),
+          __lhs.size())); }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator==(const _CharT* __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __rhs.compare(__lhs) == 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const _CharT* __rhs)
+    { return __lhs.compare(__rhs) == 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return !(__lhs == __rhs); }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator!=(const _CharT* __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return !(__lhs == __rhs); }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const _CharT* __rhs)
+    { return !(__lhs == __rhs); }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __lhs.compare(__rhs) < 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+       const _CharT* __rhs)
+    { return __lhs.compare(__rhs) < 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator<(const _CharT* __lhs,
+       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __rhs.compare(__lhs) > 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __lhs.compare(__rhs) > 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+       const _CharT* __rhs)
+    { return __lhs.compare(__rhs) > 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator>(const _CharT* __lhs,
+       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __rhs.compare(__lhs) < 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __lhs.compare(__rhs) <= 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const _CharT* __rhs)
+    { return __lhs.compare(__rhs) <= 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator<=(const _CharT* __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __rhs.compare(__lhs) >= 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __lhs.compare(__rhs) >= 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
+        const _CharT* __rhs)
+    { return __lhs.compare(__rhs) >= 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline bool
+    operator>=(const _CharT* __lhs,
+      const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { return __rhs.compare(__lhs) <= 0; }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline void
+    swap(basic_string<_CharT, _Traits, _Alloc>& __lhs,
+  basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    { __lhs.swap(__rhs); }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __is,
+        basic_string<_CharT, _Traits, _Alloc>& __str);
+  template<>
+    basic_istream<char>&
+    operator>>(basic_istream<char>& __is, basic_string<char>& __str);
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline basic_ostream<_CharT, _Traits>&
+    operator<<(basic_ostream<_CharT, _Traits>& __os,
+        const basic_string<_CharT, _Traits, _Alloc>& __str)
+    {
+      return __ostream_insert(__os, __str.data(), __str.size());
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_istream<_CharT, _Traits>&
+    getline(basic_istream<_CharT, _Traits>& __is,
+     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim);
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    inline basic_istream<_CharT, _Traits>&
+    getline(basic_istream<_CharT, _Traits>& __is,
+     basic_string<_CharT, _Traits, _Alloc>& __str)
+    { return getline(__is, __str, __is.widen('\n')); }
+  template<>
+    basic_istream<char>&
+    getline(basic_istream<char>& __in, basic_string<char>& __str,
+     char __delim);
+  template<>
+    basic_istream<wchar_t>&
+    getline(basic_istream<wchar_t>& __in, basic_string<wchar_t>& __str,
+     wchar_t __delim);
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    const typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    _Rep::_S_max_size = (((npos - sizeof(_Rep_base))/sizeof(_CharT)) - 1) / 4;
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    const _CharT
+    basic_string<_CharT, _Traits, _Alloc>::
+    _Rep::_S_terminal = _CharT();
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    const typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::npos;
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::_Rep::_S_empty_rep_storage[
+    (sizeof(_Rep_base) + sizeof(_CharT) + sizeof(size_type) - 1) /
+      sizeof(size_type)];
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    template<typename _InIterator>
+      _CharT*
+      basic_string<_CharT, _Traits, _Alloc>::
+      _S_construct(_InIterator __beg, _InIterator __end, const _Alloc& __a,
+     input_iterator_tag)
+      {
+ if (__beg == __end && __a == _Alloc())
+   return _S_empty_rep()._M_refcopy();
+ _CharT __buf[128];
+ size_type __len = 0;
+ while (__beg != __end && __len < sizeof(__buf) / sizeof(_CharT))
+   {
+     __buf[__len++] = *__beg;
+     ++__beg;
+   }
+ _Rep* __r = _Rep::_S_create(__len, size_type(0), __a);
+ _M_copy(__r->_M_refdata(), __buf, __len);
+ try
+   {
+     while (__beg != __end)
+       {
+  if (__len == __r->_M_capacity)
+    {
+      _Rep* __another = _Rep::_S_create(__len + 1, __len, __a);
+      _M_copy(__another->_M_refdata(), __r->_M_refdata(), __len);
+      __r->_M_destroy(__a);
+      __r = __another;
+    }
+  __r->_M_refdata()[__len++] = *__beg;
+  ++__beg;
+       }
+   }
+ catch(...)
+   {
+     __r->_M_destroy(__a);
+     throw;
+   }
+ __r->_M_set_length_and_sharable(__len);
+ return __r->_M_refdata();
+      }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    template <typename _InIterator>
+      _CharT*
+      basic_string<_CharT, _Traits, _Alloc>::
+      _S_construct(_InIterator __beg, _InIterator __end, const _Alloc& __a,
+     forward_iterator_tag)
+      {
+ if (__beg == __end && __a == _Alloc())
+   return _S_empty_rep()._M_refcopy();
+ if (__builtin_expect(__gnu_cxx::__is_null_pointer(__beg)
+        && __beg != __end, 0))
+   __throw_logic_error(("basic_string::_S_construct NULL not valid"));
+ const size_type __dnew = static_cast<size_type>(std::distance(__beg,
+              __end));
+ _Rep* __r = _Rep::_S_create(__dnew, size_type(0), __a);
+ try
+   { _S_copy_chars(__r->_M_refdata(), __beg, __end); }
+ catch(...)
+   {
+     __r->_M_destroy(__a);
+     throw;
+   }
+ __r->_M_set_length_and_sharable(__dnew);
+ return __r->_M_refdata();
+      }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    _CharT*
+    basic_string<_CharT, _Traits, _Alloc>::
+    _S_construct(size_type __n, _CharT __c, const _Alloc& __a)
+    {
+      if (__n == 0 && __a == _Alloc())
+ return _S_empty_rep()._M_refcopy();
+      _Rep* __r = _Rep::_S_create(__n, size_type(0), __a);
+      if (__n)
+ _M_assign(__r->_M_refdata(), __n, __c);
+      __r->_M_set_length_and_sharable(__n);
+      return __r->_M_refdata();
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(const basic_string& __str)
+    : _M_dataplus(__str._M_rep()->_M_grab(_Alloc(__str.get_allocator()),
+       __str.get_allocator()),
+    __str.get_allocator())
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(const _Alloc& __a)
+    : _M_dataplus(_S_construct(size_type(), _CharT(), __a), __a)
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(const basic_string& __str, size_type __pos, size_type __n)
+    : _M_dataplus(_S_construct(__str._M_data()
+          + __str._M_check(__pos,
+      "basic_string::basic_string"),
+          __str._M_data() + __str._M_limit(__pos, __n)
+          + __pos, _Alloc()), _Alloc())
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(const basic_string& __str, size_type __pos,
+   size_type __n, const _Alloc& __a)
+    : _M_dataplus(_S_construct(__str._M_data()
+          + __str._M_check(__pos,
+      "basic_string::basic_string"),
+          __str._M_data() + __str._M_limit(__pos, __n)
+          + __pos, __a), __a)
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(const _CharT* __s, size_type __n, const _Alloc& __a)
+    : _M_dataplus(_S_construct(__s, __s + __n, __a), __a)
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(const _CharT* __s, const _Alloc& __a)
+    : _M_dataplus(_S_construct(__s, __s ? __s + traits_type::length(__s) :
+          __s + npos, __a), __a)
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(size_type __n, _CharT __c, const _Alloc& __a)
+    : _M_dataplus(_S_construct(__n, __c, __a), __a)
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    template<typename _InputIterator>
+    basic_string<_CharT, _Traits, _Alloc>::
+    basic_string(_InputIterator __beg, _InputIterator __end, const _Alloc& __a)
+    : _M_dataplus(_S_construct(__beg, __end, __a), __a)
+    { }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    assign(const basic_string& __str)
+    {
+      if (_M_rep() != __str._M_rep())
+ {
+   const allocator_type __a = this->get_allocator();
+   _CharT* __tmp = __str._M_rep()->_M_grab(__a, __str.get_allocator());
+   _M_rep()->_M_dispose(__a);
+   _M_data(__tmp);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    assign(const _CharT* __s, size_type __n)
+    {
+      ;
+      _M_check_length(this->size(), __n, "basic_string::assign");
+      if (_M_disjunct(__s) || _M_rep()->_M_is_shared())
+ return _M_replace_safe(size_type(0), this->size(), __s, __n);
+      else
+ {
+   const size_type __pos = __s - _M_data();
+   if (__pos >= __n)
+     _M_copy(_M_data(), __s, __n);
+   else if (__pos)
+     _M_move(_M_data(), __s, __n);
+   _M_rep()->_M_set_length_and_sharable(__n);
+   return *this;
+ }
+     }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    append(size_type __n, _CharT __c)
+    {
+      if (__n)
+ {
+   _M_check_length(size_type(0), __n, "basic_string::append");
+   const size_type __len = __n + this->size();
+   if (__len > this->capacity() || _M_rep()->_M_is_shared())
+     this->reserve(__len);
+   _M_assign(_M_data() + this->size(), __n, __c);
+   _M_rep()->_M_set_length_and_sharable(__len);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    append(const _CharT* __s, size_type __n)
+    {
+      ;
+      if (__n)
+ {
+   _M_check_length(size_type(0), __n, "basic_string::append");
+   const size_type __len = __n + this->size();
+   if (__len > this->capacity() || _M_rep()->_M_is_shared())
+     {
+       if (_M_disjunct(__s))
+  this->reserve(__len);
+       else
+  {
+    const size_type __off = __s - _M_data();
+    this->reserve(__len);
+    __s = _M_data() + __off;
+  }
+     }
+   _M_copy(_M_data() + this->size(), __s, __n);
+   _M_rep()->_M_set_length_and_sharable(__len);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    append(const basic_string& __str)
+    {
+      const size_type __size = __str.size();
+      if (__size)
+ {
+   const size_type __len = __size + this->size();
+   if (__len > this->capacity() || _M_rep()->_M_is_shared())
+     this->reserve(__len);
+   _M_copy(_M_data() + this->size(), __str._M_data(), __size);
+   _M_rep()->_M_set_length_and_sharable(__len);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    append(const basic_string& __str, size_type __pos, size_type __n)
+    {
+      __str._M_check(__pos, "basic_string::append");
+      __n = __str._M_limit(__pos, __n);
+      if (__n)
+ {
+   const size_type __len = __n + this->size();
+   if (__len > this->capacity() || _M_rep()->_M_is_shared())
+     this->reserve(__len);
+   _M_copy(_M_data() + this->size(), __str._M_data() + __pos, __n);
+   _M_rep()->_M_set_length_and_sharable(__len);
+ }
+      return *this;
+    }
+   template<typename _CharT, typename _Traits, typename _Alloc>
+     basic_string<_CharT, _Traits, _Alloc>&
+     basic_string<_CharT, _Traits, _Alloc>::
+     insert(size_type __pos, const _CharT* __s, size_type __n)
+     {
+       ;
+       _M_check(__pos, "basic_string::insert");
+       _M_check_length(size_type(0), __n, "basic_string::insert");
+       if (_M_disjunct(__s) || _M_rep()->_M_is_shared())
+         return _M_replace_safe(__pos, size_type(0), __s, __n);
+       else
+         {
+           const size_type __off = __s - _M_data();
+           _M_mutate(__pos, 0, __n);
+           __s = _M_data() + __off;
+           _CharT* __p = _M_data() + __pos;
+           if (__s + __n <= __p)
+             _M_copy(__p, __s, __n);
+           else if (__s >= __p)
+             _M_copy(__p, __s + __n, __n);
+           else
+             {
+        const size_type __nleft = __p - __s;
+               _M_copy(__p, __s, __nleft);
+               _M_copy(__p + __nleft, __p + __n, __n - __nleft);
+             }
+           return *this;
+         }
+     }
+   template<typename _CharT, typename _Traits, typename _Alloc>
+     basic_string<_CharT, _Traits, _Alloc>&
+     basic_string<_CharT, _Traits, _Alloc>::
+     replace(size_type __pos, size_type __n1, const _CharT* __s,
+      size_type __n2)
+     {
+       ;
+       _M_check(__pos, "basic_string::replace");
+       __n1 = _M_limit(__pos, __n1);
+       _M_check_length(__n1, __n2, "basic_string::replace");
+       bool __left;
+       if (_M_disjunct(__s) || _M_rep()->_M_is_shared())
+         return _M_replace_safe(__pos, __n1, __s, __n2);
+       else if ((__left = __s + __n2 <= _M_data() + __pos)
+  || _M_data() + __pos + __n1 <= __s)
+  {
+    size_type __off = __s - _M_data();
+    __left ? __off : (__off += __n2 - __n1);
+    _M_mutate(__pos, __n1, __n2);
+    _M_copy(_M_data() + __pos, _M_data() + __off, __n2);
+    return *this;
+  }
+       else
+  {
+    const basic_string __tmp(__s, __n2);
+    return _M_replace_safe(__pos, __n1, __tmp._M_data(), __n2);
+  }
+     }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    void
+    basic_string<_CharT, _Traits, _Alloc>::_Rep::
+    _M_destroy(const _Alloc& __a) throw ()
+    {
+      const size_type __size = sizeof(_Rep_base) +
+                        (this->_M_capacity + 1) * sizeof(_CharT);
+      _Raw_bytes_alloc(__a).deallocate(reinterpret_cast<char*>(this), __size);
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    void
+    basic_string<_CharT, _Traits, _Alloc>::
+    _M_leak_hard()
+    {
+      if (_M_rep()->_M_is_shared())
+ _M_mutate(0, 0, 0);
+      _M_rep()->_M_set_leaked();
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    void
+    basic_string<_CharT, _Traits, _Alloc>::
+    _M_mutate(size_type __pos, size_type __len1, size_type __len2)
+    {
+      const size_type __old_size = this->size();
+      const size_type __new_size = __old_size + __len2 - __len1;
+      const size_type __how_much = __old_size - __pos - __len1;
+      if (__new_size > this->capacity() || _M_rep()->_M_is_shared())
+ {
+   const allocator_type __a = get_allocator();
+   _Rep* __r = _Rep::_S_create(__new_size, this->capacity(), __a);
+   if (__pos)
+     _M_copy(__r->_M_refdata(), _M_data(), __pos);
+   if (__how_much)
+     _M_copy(__r->_M_refdata() + __pos + __len2,
+      _M_data() + __pos + __len1, __how_much);
+   _M_rep()->_M_dispose(__a);
+   _M_data(__r->_M_refdata());
+ }
+      else if (__how_much && __len1 != __len2)
+ {
+   _M_move(_M_data() + __pos + __len2,
+    _M_data() + __pos + __len1, __how_much);
+ }
+      _M_rep()->_M_set_length_and_sharable(__new_size);
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    void
+    basic_string<_CharT, _Traits, _Alloc>::
+    reserve(size_type __res)
+    {
+      if (__res != this->capacity() || _M_rep()->_M_is_shared())
+        {
+   if (__res < this->size())
+     __res = this->size();
+   const allocator_type __a = get_allocator();
+   _CharT* __tmp = _M_rep()->_M_clone(__a, __res - this->size());
+   _M_rep()->_M_dispose(__a);
+   _M_data(__tmp);
+        }
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    void
+    basic_string<_CharT, _Traits, _Alloc>::
+    swap(basic_string& __s)
+    {
+      if (_M_rep()->_M_is_leaked())
+ _M_rep()->_M_set_sharable();
+      if (__s._M_rep()->_M_is_leaked())
+ __s._M_rep()->_M_set_sharable();
+      if (this->get_allocator() == __s.get_allocator())
+ {
+   _CharT* __tmp = _M_data();
+   _M_data(__s._M_data());
+   __s._M_data(__tmp);
+ }
+      else
+ {
+   const basic_string __tmp1(_M_ibegin(), _M_iend(),
+        __s.get_allocator());
+   const basic_string __tmp2(__s._M_ibegin(), __s._M_iend(),
+        this->get_allocator());
+   *this = __tmp2;
+   __s = __tmp1;
+ }
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::_Rep*
+    basic_string<_CharT, _Traits, _Alloc>::_Rep::
+    _S_create(size_type __capacity, size_type __old_capacity,
+       const _Alloc& __alloc)
+    {
+      if (__capacity > _S_max_size)
+ __throw_length_error(("basic_string::_S_create"));
+      const size_type __pagesize = 4096;
+      const size_type __malloc_header_size = 4 * sizeof(void*);
+      if (__capacity > __old_capacity && __capacity < 2 * __old_capacity)
+ __capacity = 2 * __old_capacity;
+      size_type __size = (__capacity + 1) * sizeof(_CharT) + sizeof(_Rep);
+      const size_type __adj_size = __size + __malloc_header_size;
+      if (__adj_size > __pagesize && __capacity > __old_capacity)
+ {
+   const size_type __extra = __pagesize - __adj_size % __pagesize;
+   __capacity += __extra / sizeof(_CharT);
+   if (__capacity > _S_max_size)
+     __capacity = _S_max_size;
+   __size = (__capacity + 1) * sizeof(_CharT) + sizeof(_Rep);
+ }
+      void* __place = _Raw_bytes_alloc(__alloc).allocate(__size);
+      _Rep *__p = new (__place) _Rep;
+      __p->_M_capacity = __capacity;
+      __p->_M_set_sharable();
+      return __p;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    _CharT*
+    basic_string<_CharT, _Traits, _Alloc>::_Rep::
+    _M_clone(const _Alloc& __alloc, size_type __res)
+    {
+      const size_type __requested_cap = this->_M_length + __res;
+      _Rep* __r = _Rep::_S_create(__requested_cap, this->_M_capacity,
+      __alloc);
+      if (this->_M_length)
+ _M_copy(__r->_M_refdata(), _M_refdata(), this->_M_length);
+      __r->_M_set_length_and_sharable(this->_M_length);
+      return __r->_M_refdata();
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    void
+    basic_string<_CharT, _Traits, _Alloc>::
+    resize(size_type __n, _CharT __c)
+    {
+      const size_type __size = this->size();
+      _M_check_length(__size, __n, "basic_string::resize");
+      if (__size < __n)
+ this->append(__n - __size, __c);
+      else if (__n < __size)
+ this->erase(__n);
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    template<typename _InputIterator>
+      basic_string<_CharT, _Traits, _Alloc>&
+      basic_string<_CharT, _Traits, _Alloc>::
+      _M_replace_dispatch(iterator __i1, iterator __i2, _InputIterator __k1,
+     _InputIterator __k2, __false_type)
+      {
+ const basic_string __s(__k1, __k2);
+ const size_type __n1 = __i2 - __i1;
+ _M_check_length(__n1, __s.size(), "basic_string::_M_replace_dispatch");
+ return _M_replace_safe(__i1 - _M_ibegin(), __n1, __s._M_data(),
+          __s.size());
+      }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
+     _CharT __c)
+    {
+      _M_check_length(__n1, __n2, "basic_string::_M_replace_aux");
+      _M_mutate(__pos1, __n1, __n2);
+      if (__n2)
+ _M_assign(_M_data() + __pos1, __n2, __c);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>&
+    basic_string<_CharT, _Traits, _Alloc>::
+    _M_replace_safe(size_type __pos1, size_type __n1, const _CharT* __s,
+      size_type __n2)
+    {
+      _M_mutate(__pos1, __n1, __n2);
+      if (__n2)
+ _M_copy(_M_data() + __pos1, __s, __n2);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>
+    operator+(const _CharT* __lhs,
+       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    {
+      ;
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef typename __string_type::size_type __size_type;
+      const __size_type __len = _Traits::length(__lhs);
+      __string_type __str;
+      __str.reserve(__len + __rhs.size());
+      __str.append(__lhs, __len);
+      __str.append(__rhs);
+      return __str;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_string<_CharT, _Traits, _Alloc>
+    operator+(_CharT __lhs, const basic_string<_CharT, _Traits, _Alloc>& __rhs)
+    {
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef typename __string_type::size_type __size_type;
+      __string_type __str;
+      const __size_type __len = __rhs.size();
+      __str.reserve(__len + 1);
+      __str.append(__size_type(1), __lhs);
+      __str.append(__rhs);
+      return __str;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    copy(_CharT* __s, size_type __n, size_type __pos) const
+    {
+      _M_check(__pos, "basic_string::copy");
+      __n = _M_limit(__pos, __n);
+      ;
+      if (__n)
+ _M_copy(__s, _M_data() + __pos, __n);
+      return __n;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find(const _CharT* __s, size_type __pos, size_type __n) const
+    {
+      ;
+      const size_type __size = this->size();
+      const _CharT* __data = _M_data();
+      if (__n == 0)
+ return __pos <= __size ? __pos : npos;
+      if (__n <= __size)
+ {
+   for (; __pos <= __size - __n; ++__pos)
+     if (traits_type::eq(__data[__pos], __s[0])
+  && traits_type::compare(__data + __pos + 1,
+     __s + 1, __n - 1) == 0)
+       return __pos;
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find(_CharT __c, size_type __pos) const
+    {
+      size_type __ret = npos;
+      const size_type __size = this->size();
+      if (__pos < __size)
+ {
+   const _CharT* __data = _M_data();
+   const size_type __n = __size - __pos;
+   const _CharT* __p = traits_type::find(__data + __pos, __n, __c);
+   if (__p)
+     __ret = __p - __data;
+ }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    rfind(const _CharT* __s, size_type __pos, size_type __n) const
+    {
+      ;
+      const size_type __size = this->size();
+      if (__n <= __size)
+ {
+   __pos = std::min(size_type(__size - __n), __pos);
+   const _CharT* __data = _M_data();
+   do
+     {
+       if (traits_type::compare(__data + __pos, __s, __n) == 0)
+  return __pos;
+     }
+   while (__pos-- > 0);
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    rfind(_CharT __c, size_type __pos) const
+    {
+      size_type __size = this->size();
+      if (__size)
+ {
+   if (--__size > __pos)
+     __size = __pos;
+   for (++__size; __size-- > 0; )
+     if (traits_type::eq(_M_data()[__size], __c))
+       return __size;
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
+    {
+      ;
+      for (; __n && __pos < this->size(); ++__pos)
+ {
+   const _CharT* __p = traits_type::find(__s, __n, _M_data()[__pos]);
+   if (__p)
+     return __pos;
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
+    {
+      ;
+      size_type __size = this->size();
+      if (__size && __n)
+ {
+   if (--__size > __pos)
+     __size = __pos;
+   do
+     {
+       if (traits_type::find(__s, __n, _M_data()[__size]))
+  return __size;
+     }
+   while (__size-- != 0);
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find_first_not_of(const _CharT* __s, size_type __pos, size_type __n) const
+    {
+      ;
+      for (; __pos < this->size(); ++__pos)
+ if (!traits_type::find(__s, __n, _M_data()[__pos]))
+   return __pos;
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find_first_not_of(_CharT __c, size_type __pos) const
+    {
+      for (; __pos < this->size(); ++__pos)
+ if (!traits_type::eq(_M_data()[__pos], __c))
+   return __pos;
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find_last_not_of(const _CharT* __s, size_type __pos, size_type __n) const
+    {
+      ;
+      size_type __size = this->size();
+      if (__size)
+ {
+   if (--__size > __pos)
+     __size = __pos;
+   do
+     {
+       if (!traits_type::find(__s, __n, _M_data()[__size]))
+  return __size;
+     }
+   while (__size--);
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    typename basic_string<_CharT, _Traits, _Alloc>::size_type
+    basic_string<_CharT, _Traits, _Alloc>::
+    find_last_not_of(_CharT __c, size_type __pos) const
+    {
+      size_type __size = this->size();
+      if (__size)
+ {
+   if (--__size > __pos)
+     __size = __pos;
+   do
+     {
+       if (!traits_type::eq(_M_data()[__size], __c))
+  return __size;
+     }
+   while (__size--);
+ }
+      return npos;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    int
+    basic_string<_CharT, _Traits, _Alloc>::
+    compare(size_type __pos, size_type __n, const basic_string& __str) const
+    {
+      _M_check(__pos, "basic_string::compare");
+      __n = _M_limit(__pos, __n);
+      const size_type __osize = __str.size();
+      const size_type __len = std::min(__n, __osize);
+      int __r = traits_type::compare(_M_data() + __pos, __str.data(), __len);
+      if (!__r)
+ __r = _S_compare(__n, __osize);
+      return __r;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    int
+    basic_string<_CharT, _Traits, _Alloc>::
+    compare(size_type __pos1, size_type __n1, const basic_string& __str,
+     size_type __pos2, size_type __n2) const
+    {
+      _M_check(__pos1, "basic_string::compare");
+      __str._M_check(__pos2, "basic_string::compare");
+      __n1 = _M_limit(__pos1, __n1);
+      __n2 = __str._M_limit(__pos2, __n2);
+      const size_type __len = std::min(__n1, __n2);
+      int __r = traits_type::compare(_M_data() + __pos1,
+         __str.data() + __pos2, __len);
+      if (!__r)
+ __r = _S_compare(__n1, __n2);
+      return __r;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    int
+    basic_string<_CharT, _Traits, _Alloc>::
+    compare(const _CharT* __s) const
+    {
+      ;
+      const size_type __size = this->size();
+      const size_type __osize = traits_type::length(__s);
+      const size_type __len = std::min(__size, __osize);
+      int __r = traits_type::compare(_M_data(), __s, __len);
+      if (!__r)
+ __r = _S_compare(__size, __osize);
+      return __r;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    int
+    basic_string <_CharT, _Traits, _Alloc>::
+    compare(size_type __pos, size_type __n1, const _CharT* __s) const
+    {
+      ;
+      _M_check(__pos, "basic_string::compare");
+      __n1 = _M_limit(__pos, __n1);
+      const size_type __osize = traits_type::length(__s);
+      const size_type __len = std::min(__n1, __osize);
+      int __r = traits_type::compare(_M_data() + __pos, __s, __len);
+      if (!__r)
+ __r = _S_compare(__n1, __osize);
+      return __r;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    int
+    basic_string <_CharT, _Traits, _Alloc>::
+    compare(size_type __pos, size_type __n1, const _CharT* __s,
+     size_type __n2) const
+    {
+      ;
+      _M_check(__pos, "basic_string::compare");
+      __n1 = _M_limit(__pos, __n1);
+      const size_type __len = std::min(__n1, __n2);
+      int __r = traits_type::compare(_M_data() + __pos, __s, __len);
+      if (!__r)
+ __r = _S_compare(__n1, __n2);
+      return __r;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __in,
+        basic_string<_CharT, _Traits, _Alloc>& __str)
+    {
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef typename __istream_type::ios_base __ios_base;
+      typedef typename __istream_type::int_type __int_type;
+      typedef typename __string_type::size_type __size_type;
+      typedef ctype<_CharT> __ctype_type;
+      typedef typename __ctype_type::ctype_base __ctype_base;
+      __size_type __extracted = 0;
+      typename __ios_base::iostate __err = __ios_base::goodbit;
+      typename __istream_type::sentry __cerb(__in, false);
+      if (__cerb)
+ {
+   try
+     {
+       __str.erase();
+       _CharT __buf[128];
+       __size_type __len = 0;
+       const streamsize __w = __in.width();
+       const __size_type __n = __w > 0 ? static_cast<__size_type>(__w)
+                                : __str.max_size();
+       const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
+       const __int_type __eof = _Traits::eof();
+       __int_type __c = __in.rdbuf()->sgetc();
+       while (__extracted < __n
+       && !_Traits::eq_int_type(__c, __eof)
+       && !__ct.is(__ctype_base::space,
+     _Traits::to_char_type(__c)))
+  {
+    if (__len == sizeof(__buf) / sizeof(_CharT))
+      {
+        __str.append(__buf, sizeof(__buf) / sizeof(_CharT));
+        __len = 0;
+      }
+    __buf[__len++] = _Traits::to_char_type(__c);
+    ++__extracted;
+    __c = __in.rdbuf()->snextc();
+  }
+       __str.append(__buf, __len);
+       if (_Traits::eq_int_type(__c, __eof))
+  __err |= __ios_base::eofbit;
+       __in.width(0);
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       __in._M_setstate(__ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     {
+       __in._M_setstate(__ios_base::badbit);
+     }
+ }
+      if (!__extracted)
+ __err |= __ios_base::failbit;
+      if (__err)
+ __in.setstate(__err);
+      return __in;
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    basic_istream<_CharT, _Traits>&
+    getline(basic_istream<_CharT, _Traits>& __in,
+     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
+    {
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef typename __istream_type::ios_base __ios_base;
+      typedef typename __istream_type::int_type __int_type;
+      typedef typename __string_type::size_type __size_type;
+      __size_type __extracted = 0;
+      const __size_type __n = __str.max_size();
+      typename __ios_base::iostate __err = __ios_base::goodbit;
+      typename __istream_type::sentry __cerb(__in, true);
+      if (__cerb)
+ {
+   try
+     {
+       __str.erase();
+       const __int_type __idelim = _Traits::to_int_type(__delim);
+       const __int_type __eof = _Traits::eof();
+       __int_type __c = __in.rdbuf()->sgetc();
+       while (__extracted < __n
+       && !_Traits::eq_int_type(__c, __eof)
+       && !_Traits::eq_int_type(__c, __idelim))
+  {
+    __str += _Traits::to_char_type(__c);
+    ++__extracted;
+    __c = __in.rdbuf()->snextc();
+  }
+       if (_Traits::eq_int_type(__c, __eof))
+  __err |= __ios_base::eofbit;
+       else if (_Traits::eq_int_type(__c, __idelim))
+  {
+    ++__extracted;
+    __in.rdbuf()->sbumpc();
+  }
+       else
+  __err |= __ios_base::failbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       __in._M_setstate(__ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     {
+       __in._M_setstate(__ios_base::badbit);
+     }
+ }
+      if (!__extracted)
+ __err |= __ios_base::failbit;
+      if (__err)
+ __in.setstate(__err);
+      return __in;
+    }
+  extern template class basic_string<char>;
+  extern template
+    basic_istream<char>&
+    operator>>(basic_istream<char>&, string&);
+  extern template
+    basic_ostream<char>&
+    operator<<(basic_ostream<char>&, const string&);
+  extern template
+    basic_istream<char>&
+    getline(basic_istream<char>&, string&, char);
+  extern template
+    basic_istream<char>&
+    getline(basic_istream<char>&, string&);
+  extern template class basic_string<wchar_t>;
+  extern template
+    basic_istream<wchar_t>&
+    operator>>(basic_istream<wchar_t>&, wstring&);
+  extern template
+    basic_ostream<wchar_t>&
+    operator<<(basic_ostream<wchar_t>&, const wstring&);
+  extern template
+    basic_istream<wchar_t>&
+    getline(basic_istream<wchar_t>&, wstring&, wchar_t);
+  extern template
+    basic_istream<wchar_t>&
+    getline(basic_istream<wchar_t>&, wstring&);
+}
+namespace std {
+  class locale
+  {
+  public:
+    typedef int category;
+    class facet;
+    class id;
+    class _Impl;
+    friend class facet;
+    friend class _Impl;
+    template<typename _Facet>
+      friend bool
+      has_facet(const locale&) throw();
+    template<typename _Facet>
+      friend const _Facet&
+      use_facet(const locale&);
+    template<typename _Cache>
+      friend struct __use_cache;
+    static const category none = 0;
+    static const category ctype = 1L << 0;
+    static const category numeric = 1L << 1;
+    static const category collate = 1L << 2;
+    static const category time = 1L << 3;
+    static const category monetary = 1L << 4;
+    static const category messages = 1L << 5;
+    static const category all = (ctype | numeric | collate |
+        time | monetary | messages);
+    locale() throw();
+    locale(const locale& __other) throw();
+    explicit
+    locale(const char* __s);
+    locale(const locale& __base, const char* __s, category __cat);
+    locale(const locale& __base, const locale& __add, category __cat);
+    template<typename _Facet>
+      locale(const locale& __other, _Facet* __f);
+    ~locale() throw();
+    const locale&
+    operator=(const locale& __other) throw();
+    template<typename _Facet>
+      locale
+      combine(const locale& __other) const;
+    string
+    name() const;
+    bool
+    operator==(const locale& __other) const throw ();
+    bool
+    operator!=(const locale& __other) const throw ()
+    { return !(this->operator==(__other)); }
+    template<typename _Char, typename _Traits, typename _Alloc>
+      bool
+      operator()(const basic_string<_Char, _Traits, _Alloc>& __s1,
+   const basic_string<_Char, _Traits, _Alloc>& __s2) const;
+    static locale
+    global(const locale&);
+    static const locale&
+    classic();
+  private:
+    _Impl* _M_impl;
+    static _Impl* _S_classic;
+    static _Impl* _S_global;
+    static const char* const* const _S_categories;
+    enum { _S_categories_size = 6 + 0 };
+    static __gthread_once_t _S_once;
+    explicit
+    locale(_Impl*) throw();
+    static void
+    _S_initialize();
+    static void
+    _S_initialize_once();
+    static category
+    _S_normalize_category(category);
+    void
+    _M_coalesce(const locale& __base, const locale& __add, category __cat);
+  };
+  class locale::facet
+  {
+  private:
+    friend class locale;
+    friend class locale::_Impl;
+    mutable _Atomic_word _M_refcount;
+    static __c_locale _S_c_locale;
+    static const char _S_c_name[2];
+    static __gthread_once_t _S_once;
+    static void
+    _S_initialize_once();
+  protected:
+    explicit
+    facet(size_t __refs = 0) throw() : _M_refcount(__refs ? 1 : 0)
+    { }
+    virtual
+    ~facet();
+    static void
+    _S_create_c_locale(__c_locale& __cloc, const char* __s,
+         __c_locale __old = 0);
+    static __c_locale
+    _S_clone_c_locale(__c_locale& __cloc);
+    static void
+    _S_destroy_c_locale(__c_locale& __cloc);
+    static __c_locale
+    _S_get_c_locale();
+    static const char*
+    _S_get_c_name();
+  private:
+    void
+    _M_add_reference() const throw()
+    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }
+    void
+    _M_remove_reference() const throw()
+    {
+      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
+ {
+   try
+     { delete this; }
+   catch(...)
+     { }
+ }
+    }
+    facet(const facet&);
+    facet&
+    operator=(const facet&);
+  };
+  class locale::id
+  {
+  private:
+    friend class locale;
+    friend class locale::_Impl;
+    template<typename _Facet>
+      friend const _Facet&
+      use_facet(const locale&);
+    template<typename _Facet>
+      friend bool
+      has_facet(const locale&) throw ();
+    mutable size_t _M_index;
+    static _Atomic_word _S_refcount;
+    void
+    operator=(const id&);
+    id(const id&);
+  public:
+    id() { }
+    size_t
+    _M_id() const;
+  };
+  class locale::_Impl
+  {
+  public:
+    friend class locale;
+    friend class locale::facet;
+    template<typename _Facet>
+      friend bool
+      has_facet(const locale&) throw();
+    template<typename _Facet>
+      friend const _Facet&
+      use_facet(const locale&);
+    template<typename _Cache>
+      friend struct __use_cache;
+  private:
+    _Atomic_word _M_refcount;
+    const facet** _M_facets;
+    size_t _M_facets_size;
+    const facet** _M_caches;
+    char** _M_names;
+    static const locale::id* const _S_id_ctype[];
+    static const locale::id* const _S_id_numeric[];
+    static const locale::id* const _S_id_collate[];
+    static const locale::id* const _S_id_time[];
+    static const locale::id* const _S_id_monetary[];
+    static const locale::id* const _S_id_messages[];
+    static const locale::id* const* const _S_facet_categories[];
+    void
+    _M_add_reference() throw()
+    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }
+    void
+    _M_remove_reference() throw()
+    {
+      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
+ {
+   try
+     { delete this; }
+   catch(...)
+     { }
+ }
+    }
+    _Impl(const _Impl&, size_t);
+    _Impl(const char*, size_t);
+    _Impl(size_t) throw();
+   ~_Impl() throw();
+    _Impl(const _Impl&);
+    void
+    operator=(const _Impl&);
+    bool
+    _M_check_same_name()
+    {
+      bool __ret = true;
+      if (_M_names[1])
+ for (size_t __i = 0; __ret && __i < _S_categories_size - 1; ++__i)
+   __ret = __builtin_strcmp(_M_names[__i], _M_names[__i + 1]) == 0;
+      return __ret;
+    }
+    void
+    _M_replace_categories(const _Impl*, category);
+    void
+    _M_replace_category(const _Impl*, const locale::id* const*);
+    void
+    _M_replace_facet(const _Impl*, const locale::id*);
+    void
+    _M_install_facet(const locale::id*, const facet*);
+    template<typename _Facet>
+      void
+      _M_init_facet(_Facet* __facet)
+      { _M_install_facet(&_Facet::id, __facet); }
+    void
+    _M_install_cache(const facet*, size_t);
+  };
+  template<typename _Facet>
+    bool
+    has_facet(const locale& __loc) throw();
+  template<typename _Facet>
+    const _Facet&
+    use_facet(const locale& __loc);
+  template<typename _CharT>
+    class collate : public locale::facet
+    {
+    public:
+      typedef _CharT char_type;
+      typedef basic_string<_CharT> string_type;
+    protected:
+      __c_locale _M_c_locale_collate;
+    public:
+      static locale::id id;
+      explicit
+      collate(size_t __refs = 0)
+      : facet(__refs), _M_c_locale_collate(_S_get_c_locale())
+      { }
+      explicit
+      collate(__c_locale __cloc, size_t __refs = 0)
+      : facet(__refs), _M_c_locale_collate(_S_clone_c_locale(__cloc))
+      { }
+      int
+      compare(const _CharT* __lo1, const _CharT* __hi1,
+       const _CharT* __lo2, const _CharT* __hi2) const
+      { return this->do_compare(__lo1, __hi1, __lo2, __hi2); }
+      string_type
+      transform(const _CharT* __lo, const _CharT* __hi) const
+      { return this->do_transform(__lo, __hi); }
+      long
+      hash(const _CharT* __lo, const _CharT* __hi) const
+      { return this->do_hash(__lo, __hi); }
+      int
+      _M_compare(const _CharT*, const _CharT*) const;
+      size_t
+      _M_transform(_CharT*, const _CharT*, size_t) const;
+  protected:
+      virtual
+      ~collate()
+      { _S_destroy_c_locale(_M_c_locale_collate); }
+      virtual int
+      do_compare(const _CharT* __lo1, const _CharT* __hi1,
+   const _CharT* __lo2, const _CharT* __hi2) const;
+      virtual string_type
+      do_transform(const _CharT* __lo, const _CharT* __hi) const;
+      virtual long
+      do_hash(const _CharT* __lo, const _CharT* __hi) const;
+    };
+  template<typename _CharT>
+    locale::id collate<_CharT>::id;
+  template<>
+    int
+    collate<char>::_M_compare(const char*, const char*) const;
+  template<>
+    size_t
+    collate<char>::_M_transform(char*, const char*, size_t) const;
+  template<>
+    int
+    collate<wchar_t>::_M_compare(const wchar_t*, const wchar_t*) const;
+  template<>
+    size_t
+    collate<wchar_t>::_M_transform(wchar_t*, const wchar_t*, size_t) const;
+  template<typename _CharT>
+    class collate_byname : public collate<_CharT>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef basic_string<_CharT> string_type;
+      explicit
+      collate_byname(const char* __s, size_t __refs = 0)
+      : collate<_CharT>(__refs)
+      {
+ if (__builtin_strcmp(__s, "C") != 0
+     && __builtin_strcmp(__s, "POSIX") != 0)
+   {
+     this->_S_destroy_c_locale(this->_M_c_locale_collate);
+     this->_S_create_c_locale(this->_M_c_locale_collate, __s);
+   }
+      }
+    protected:
+      virtual
+      ~collate_byname() { }
+    };
+}
+       
+namespace std {
+  template<typename _Facet>
+    locale::
+    locale(const locale& __other, _Facet* __f)
+    {
+      _M_impl = new _Impl(*__other._M_impl, 1);
+      try
+ { _M_impl->_M_install_facet(&_Facet::id, __f); }
+      catch(...)
+ {
+   _M_impl->_M_remove_reference();
+   throw;
+ }
+      delete [] _M_impl->_M_names[0];
+      _M_impl->_M_names[0] = 0;
+    }
+  template<typename _Facet>
+    locale
+    locale::
+    combine(const locale& __other) const
+    {
+      _Impl* __tmp = new _Impl(*_M_impl, 1);
+      try
+ {
+   __tmp->_M_replace_facet(__other._M_impl, &_Facet::id);
+ }
+      catch(...)
+ {
+   __tmp->_M_remove_reference();
+   throw;
+ }
+      return locale(__tmp);
+    }
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    bool
+    locale::
+    operator()(const basic_string<_CharT, _Traits, _Alloc>& __s1,
+        const basic_string<_CharT, _Traits, _Alloc>& __s2) const
+    {
+      typedef std::collate<_CharT> __collate_type;
+      const __collate_type& __collate = use_facet<__collate_type>(*this);
+      return (__collate.compare(__s1.data(), __s1.data() + __s1.length(),
+    __s2.data(), __s2.data() + __s2.length()) < 0);
+    }
+  template<typename _Facet>
+    bool
+    has_facet(const locale& __loc) throw()
+    {
+      const size_t __i = _Facet::id._M_id();
+      const locale::facet** __facets = __loc._M_impl->_M_facets;
+      return (__i < __loc._M_impl->_M_facets_size
+       && dynamic_cast<const _Facet*>(__facets[__i]));
+    }
+  template<typename _Facet>
+    const _Facet&
+    use_facet(const locale& __loc)
+    {
+      const size_t __i = _Facet::id._M_id();
+      const locale::facet** __facets = __loc._M_impl->_M_facets;
+      if (__i >= __loc._M_impl->_M_facets_size || !__facets[__i])
+        __throw_bad_cast();
+      return dynamic_cast<const _Facet&>(*__facets[__i]);
+    }
+  template<typename _CharT>
+    int
+    collate<_CharT>::_M_compare(const _CharT*, const _CharT*) const
+    { return 0; }
+  template<typename _CharT>
+    size_t
+    collate<_CharT>::_M_transform(_CharT*, const _CharT*, size_t) const
+    { return 0; }
+  template<typename _CharT>
+    int
+    collate<_CharT>::
+    do_compare(const _CharT* __lo1, const _CharT* __hi1,
+        const _CharT* __lo2, const _CharT* __hi2) const
+    {
+      const string_type __one(__lo1, __hi1);
+      const string_type __two(__lo2, __hi2);
+      const _CharT* __p = __one.c_str();
+      const _CharT* __pend = __one.data() + __one.length();
+      const _CharT* __q = __two.c_str();
+      const _CharT* __qend = __two.data() + __two.length();
+      for (;;)
+ {
+   const int __res = _M_compare(__p, __q);
+   if (__res)
+     return __res;
+   __p += char_traits<_CharT>::length(__p);
+   __q += char_traits<_CharT>::length(__q);
+   if (__p == __pend && __q == __qend)
+     return 0;
+   else if (__p == __pend)
+     return -1;
+   else if (__q == __qend)
+     return 1;
+   __p++;
+   __q++;
+ }
+    }
+  template<typename _CharT>
+    typename collate<_CharT>::string_type
+    collate<_CharT>::
+    do_transform(const _CharT* __lo, const _CharT* __hi) const
+    {
+      string_type __ret;
+      const string_type __str(__lo, __hi);
+      const _CharT* __p = __str.c_str();
+      const _CharT* __pend = __str.data() + __str.length();
+      size_t __len = (__hi - __lo) * 2;
+      _CharT* __c = new _CharT[__len];
+      try
+ {
+   for (;;)
+     {
+       size_t __res = _M_transform(__c, __p, __len);
+       if (__res >= __len)
+  {
+    __len = __res + 1;
+    delete [] __c, __c = 0;
+    __c = new _CharT[__len];
+    __res = _M_transform(__c, __p, __len);
+  }
+       __ret.append(__c, __res);
+       __p += char_traits<_CharT>::length(__p);
+       if (__p == __pend)
+  break;
+       __p++;
+       __ret.push_back(_CharT());
+     }
+ }
+      catch(...)
+ {
+   delete [] __c;
+   throw;
+ }
+      delete [] __c;
+      return __ret;
+    }
+  template<typename _CharT>
+    long
+    collate<_CharT>::
+    do_hash(const _CharT* __lo, const _CharT* __hi) const
+    {
+      unsigned long __val = 0;
+      for (; __lo < __hi; ++__lo)
+ __val =
+   *__lo + ((__val << 7)
+     | (__val >> (__gnu_cxx::__numeric_traits<unsigned long>::
+    __digits - 7)));
+      return static_cast<long>(__val);
+    }
+  extern template class collate<char>;
+  extern template class collate_byname<char>;
+  extern template
+    const collate<char>&
+    use_facet<collate<char> >(const locale&);
+  extern template
+    bool
+    has_facet<collate<char> >(const locale&);
+  extern template class collate<wchar_t>;
+  extern template class collate_byname<wchar_t>;
+  extern template
+    const collate<wchar_t>&
+    use_facet<collate<wchar_t> >(const locale&);
+  extern template
+    bool
+    has_facet<collate<wchar_t> >(const locale&);
+}
+       
+       
+namespace std {
+  enum _Ios_Fmtflags
+    {
+      _S_boolalpha = 1L << 0,
+      _S_dec = 1L << 1,
+      _S_fixed = 1L << 2,
+      _S_hex = 1L << 3,
+      _S_internal = 1L << 4,
+      _S_left = 1L << 5,
+      _S_oct = 1L << 6,
+      _S_right = 1L << 7,
+      _S_scientific = 1L << 8,
+      _S_showbase = 1L << 9,
+      _S_showpoint = 1L << 10,
+      _S_showpos = 1L << 11,
+      _S_skipws = 1L << 12,
+      _S_unitbuf = 1L << 13,
+      _S_uppercase = 1L << 14,
+      _S_adjustfield = _S_left | _S_right | _S_internal,
+      _S_basefield = _S_dec | _S_oct | _S_hex,
+      _S_floatfield = _S_scientific | _S_fixed,
+      _S_ios_fmtflags_end = 1L << 16
+    };
+  inline _Ios_Fmtflags
+  operator&(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
+  { return _Ios_Fmtflags(static_cast<int>(__a) & static_cast<int>(__b)); }
+  inline _Ios_Fmtflags
+  operator|(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
+  { return _Ios_Fmtflags(static_cast<int>(__a) | static_cast<int>(__b)); }
+  inline _Ios_Fmtflags
+  operator^(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
+  { return _Ios_Fmtflags(static_cast<int>(__a) ^ static_cast<int>(__b)); }
+  inline _Ios_Fmtflags&
+  operator|=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
+  { return __a = __a | __b; }
+  inline _Ios_Fmtflags&
+  operator&=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
+  { return __a = __a & __b; }
+  inline _Ios_Fmtflags&
+  operator^=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
+  { return __a = __a ^ __b; }
+  inline _Ios_Fmtflags
+  operator~(_Ios_Fmtflags __a)
+  { return _Ios_Fmtflags(~static_cast<int>(__a)); }
+  enum _Ios_Openmode
+    {
+      _S_app = 1L << 0,
+      _S_ate = 1L << 1,
+      _S_bin = 1L << 2,
+      _S_in = 1L << 3,
+      _S_out = 1L << 4,
+      _S_trunc = 1L << 5,
+      _S_ios_openmode_end = 1L << 16
+    };
+  inline _Ios_Openmode
+  operator&(_Ios_Openmode __a, _Ios_Openmode __b)
+  { return _Ios_Openmode(static_cast<int>(__a) & static_cast<int>(__b)); }
+  inline _Ios_Openmode
+  operator|(_Ios_Openmode __a, _Ios_Openmode __b)
+  { return _Ios_Openmode(static_cast<int>(__a) | static_cast<int>(__b)); }
+  inline _Ios_Openmode
+  operator^(_Ios_Openmode __a, _Ios_Openmode __b)
+  { return _Ios_Openmode(static_cast<int>(__a) ^ static_cast<int>(__b)); }
+  inline _Ios_Openmode&
+  operator|=(_Ios_Openmode& __a, _Ios_Openmode __b)
+  { return __a = __a | __b; }
+  inline _Ios_Openmode&
+  operator&=(_Ios_Openmode& __a, _Ios_Openmode __b)
+  { return __a = __a & __b; }
+  inline _Ios_Openmode&
+  operator^=(_Ios_Openmode& __a, _Ios_Openmode __b)
+  { return __a = __a ^ __b; }
+  inline _Ios_Openmode
+  operator~(_Ios_Openmode __a)
+  { return _Ios_Openmode(~static_cast<int>(__a)); }
+  enum _Ios_Iostate
+    {
+      _S_goodbit = 0,
+      _S_badbit = 1L << 0,
+      _S_eofbit = 1L << 1,
+      _S_failbit = 1L << 2,
+      _S_ios_iostate_end = 1L << 16
+    };
+  inline _Ios_Iostate
+  operator&(_Ios_Iostate __a, _Ios_Iostate __b)
+  { return _Ios_Iostate(static_cast<int>(__a) & static_cast<int>(__b)); }
+  inline _Ios_Iostate
+  operator|(_Ios_Iostate __a, _Ios_Iostate __b)
+  { return _Ios_Iostate(static_cast<int>(__a) | static_cast<int>(__b)); }
+  inline _Ios_Iostate
+  operator^(_Ios_Iostate __a, _Ios_Iostate __b)
+  { return _Ios_Iostate(static_cast<int>(__a) ^ static_cast<int>(__b)); }
+  inline _Ios_Iostate&
+  operator|=(_Ios_Iostate& __a, _Ios_Iostate __b)
+  { return __a = __a | __b; }
+  inline _Ios_Iostate&
+  operator&=(_Ios_Iostate& __a, _Ios_Iostate __b)
+  { return __a = __a & __b; }
+  inline _Ios_Iostate&
+  operator^=(_Ios_Iostate& __a, _Ios_Iostate __b)
+  { return __a = __a ^ __b; }
+  inline _Ios_Iostate
+  operator~(_Ios_Iostate __a)
+  { return _Ios_Iostate(~static_cast<int>(__a)); }
+  enum _Ios_Seekdir
+    {
+      _S_beg = 0,
+      _S_cur = 1,
+      _S_end = 2,
+      _S_ios_seekdir_end = 1L << 16
+    };
+  class ios_base
+  {
+  public:
+    class failure : public exception
+    {
+    public:
+      explicit
+      failure(const string& __str) throw();
+      virtual
+      ~failure() throw();
+      virtual const char*
+      what() const throw();
+    private:
+      string _M_msg;
+    };
+    typedef _Ios_Fmtflags fmtflags;
+    static const fmtflags boolalpha = _S_boolalpha;
+    static const fmtflags dec = _S_dec;
+    static const fmtflags fixed = _S_fixed;
+    static const fmtflags hex = _S_hex;
+    static const fmtflags internal = _S_internal;
+    static const fmtflags left = _S_left;
+    static const fmtflags oct = _S_oct;
+    static const fmtflags right = _S_right;
+    static const fmtflags scientific = _S_scientific;
+    static const fmtflags showbase = _S_showbase;
+    static const fmtflags showpoint = _S_showpoint;
+    static const fmtflags showpos = _S_showpos;
+    static const fmtflags skipws = _S_skipws;
+    static const fmtflags unitbuf = _S_unitbuf;
+    static const fmtflags uppercase = _S_uppercase;
+    static const fmtflags adjustfield = _S_adjustfield;
+    static const fmtflags basefield = _S_basefield;
+    static const fmtflags floatfield = _S_floatfield;
+    typedef _Ios_Iostate iostate;
+    static const iostate badbit = _S_badbit;
+    static const iostate eofbit = _S_eofbit;
+    static const iostate failbit = _S_failbit;
+    static const iostate goodbit = _S_goodbit;
+    typedef _Ios_Openmode openmode;
+    static const openmode app = _S_app;
+    static const openmode ate = _S_ate;
+    static const openmode binary = _S_bin;
+    static const openmode in = _S_in;
+    static const openmode out = _S_out;
+    static const openmode trunc = _S_trunc;
+    typedef _Ios_Seekdir seekdir;
+    static const seekdir beg = _S_beg;
+    static const seekdir cur = _S_cur;
+    static const seekdir end = _S_end;
+    typedef int io_state;
+    typedef int open_mode;
+    typedef int seek_dir;
+    typedef std::streampos streampos;
+    typedef std::streamoff streamoff;
+    enum event
+    {
+      erase_event,
+      imbue_event,
+      copyfmt_event
+    };
+    typedef void (*event_callback) (event, ios_base&, int);
+    void
+    register_callback(event_callback __fn, int __index);
+  protected:
+    streamsize _M_precision;
+    streamsize _M_width;
+    fmtflags _M_flags;
+    iostate _M_exception;
+    iostate _M_streambuf_state;
+    struct _Callback_list
+    {
+      _Callback_list* _M_next;
+      ios_base::event_callback _M_fn;
+      int _M_index;
+      _Atomic_word _M_refcount;
+      _Callback_list(ios_base::event_callback __fn, int __index,
+       _Callback_list* __cb)
+      : _M_next(__cb), _M_fn(__fn), _M_index(__index), _M_refcount(0) { }
+      void
+      _M_add_reference() { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }
+      int
+      _M_remove_reference()
+      { return __gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1); }
+    };
+     _Callback_list* _M_callbacks;
+    void
+    _M_call_callbacks(event __ev) throw();
+    void
+    _M_dispose_callbacks(void);
+    struct _Words
+    {
+      void* _M_pword;
+      long _M_iword;
+      _Words() : _M_pword(0), _M_iword(0) { }
+    };
+    _Words _M_word_zero;
+    enum { _S_local_word_size = 8 };
+    _Words _M_local_word[_S_local_word_size];
+    int _M_word_size;
+    _Words* _M_word;
+    _Words&
+    _M_grow_words(int __index, bool __iword);
+    locale _M_ios_locale;
+    void
+    _M_init();
+  public:
+    class Init
+    {
+      friend class ios_base;
+    public:
+      Init();
+      ~Init();
+    private:
+      static _Atomic_word _S_refcount;
+      static bool _S_synced_with_stdio;
+    };
+    fmtflags
+    flags() const
+    { return _M_flags; }
+    fmtflags
+    flags(fmtflags __fmtfl)
+    {
+      fmtflags __old = _M_flags;
+      _M_flags = __fmtfl;
+      return __old;
+    }
+    fmtflags
+    setf(fmtflags __fmtfl)
+    {
+      fmtflags __old = _M_flags;
+      _M_flags |= __fmtfl;
+      return __old;
+    }
+    fmtflags
+    setf(fmtflags __fmtfl, fmtflags __mask)
+    {
+      fmtflags __old = _M_flags;
+      _M_flags &= ~__mask;
+      _M_flags |= (__fmtfl & __mask);
+      return __old;
+    }
+    void
+    unsetf(fmtflags __mask)
+    { _M_flags &= ~__mask; }
+    streamsize
+    precision() const
+    { return _M_precision; }
+    streamsize
+    precision(streamsize __prec)
+    {
+      streamsize __old = _M_precision;
+      _M_precision = __prec;
+      return __old;
+    }
+    streamsize
+    width() const
+    { return _M_width; }
+    streamsize
+    width(streamsize __wide)
+    {
+      streamsize __old = _M_width;
+      _M_width = __wide;
+      return __old;
+    }
+    static bool
+    sync_with_stdio(bool __sync = true);
+    locale
+    imbue(const locale& __loc);
+    locale
+    getloc() const
+    { return _M_ios_locale; }
+    const locale&
+    _M_getloc() const
+    { return _M_ios_locale; }
+    static int
+    xalloc() throw();
+    long&
+    iword(int __ix)
+    {
+      _Words& __word = (__ix < _M_word_size)
+   ? _M_word[__ix] : _M_grow_words(__ix, true);
+      return __word._M_iword;
+    }
+    void*&
+    pword(int __ix)
+    {
+      _Words& __word = (__ix < _M_word_size)
+   ? _M_word[__ix] : _M_grow_words(__ix, false);
+      return __word._M_pword;
+    }
+    virtual ~ios_base();
+  protected:
+    ios_base();
+  private:
+    ios_base(const ios_base&);
+    ios_base&
+    operator=(const ios_base&);
+  };
+  inline ios_base&
+  boolalpha(ios_base& __base)
+  {
+    __base.setf(ios_base::boolalpha);
+    return __base;
+  }
+  inline ios_base&
+  noboolalpha(ios_base& __base)
+  {
+    __base.unsetf(ios_base::boolalpha);
+    return __base;
+  }
+  inline ios_base&
+  showbase(ios_base& __base)
+  {
+    __base.setf(ios_base::showbase);
+    return __base;
+  }
+  inline ios_base&
+  noshowbase(ios_base& __base)
+  {
+    __base.unsetf(ios_base::showbase);
+    return __base;
+  }
+  inline ios_base&
+  showpoint(ios_base& __base)
+  {
+    __base.setf(ios_base::showpoint);
+    return __base;
+  }
+  inline ios_base&
+  noshowpoint(ios_base& __base)
+  {
+    __base.unsetf(ios_base::showpoint);
+    return __base;
+  }
+  inline ios_base&
+  showpos(ios_base& __base)
+  {
+    __base.setf(ios_base::showpos);
+    return __base;
+  }
+  inline ios_base&
+  noshowpos(ios_base& __base)
+  {
+    __base.unsetf(ios_base::showpos);
+    return __base;
+  }
+  inline ios_base&
+  skipws(ios_base& __base)
+  {
+    __base.setf(ios_base::skipws);
+    return __base;
+  }
+  inline ios_base&
+  noskipws(ios_base& __base)
+  {
+    __base.unsetf(ios_base::skipws);
+    return __base;
+  }
+  inline ios_base&
+  uppercase(ios_base& __base)
+  {
+    __base.setf(ios_base::uppercase);
+    return __base;
+  }
+  inline ios_base&
+  nouppercase(ios_base& __base)
+  {
+    __base.unsetf(ios_base::uppercase);
+    return __base;
+  }
+  inline ios_base&
+  unitbuf(ios_base& __base)
+  {
+     __base.setf(ios_base::unitbuf);
+     return __base;
+  }
+  inline ios_base&
+  nounitbuf(ios_base& __base)
+  {
+     __base.unsetf(ios_base::unitbuf);
+     return __base;
+  }
+  inline ios_base&
+  internal(ios_base& __base)
+  {
+     __base.setf(ios_base::internal, ios_base::adjustfield);
+     return __base;
+  }
+  inline ios_base&
+  left(ios_base& __base)
+  {
+    __base.setf(ios_base::left, ios_base::adjustfield);
+    return __base;
+  }
+  inline ios_base&
+  right(ios_base& __base)
+  {
+    __base.setf(ios_base::right, ios_base::adjustfield);
+    return __base;
+  }
+  inline ios_base&
+  dec(ios_base& __base)
+  {
+    __base.setf(ios_base::dec, ios_base::basefield);
+    return __base;
+  }
+  inline ios_base&
+  hex(ios_base& __base)
+  {
+    __base.setf(ios_base::hex, ios_base::basefield);
+    return __base;
+  }
+  inline ios_base&
+  oct(ios_base& __base)
+  {
+    __base.setf(ios_base::oct, ios_base::basefield);
+    return __base;
+  }
+  inline ios_base&
+  fixed(ios_base& __base)
+  {
+    __base.setf(ios_base::fixed, ios_base::floatfield);
+    return __base;
+  }
+  inline ios_base&
+  scientific(ios_base& __base)
+  {
+    __base.setf(ios_base::scientific, ios_base::floatfield);
+    return __base;
+  }
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    streamsize
+    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>*,
+     basic_streambuf<_CharT, _Traits>*, bool&);
+  template<typename _CharT, typename _Traits>
+    class basic_streambuf
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef typename traits_type::int_type int_type;
+      typedef typename traits_type::pos_type pos_type;
+      typedef typename traits_type::off_type off_type;
+      typedef basic_streambuf<char_type, traits_type> __streambuf_type;
+      friend class basic_ios<char_type, traits_type>;
+      friend class basic_istream<char_type, traits_type>;
+      friend class basic_ostream<char_type, traits_type>;
+      friend class istreambuf_iterator<char_type, traits_type>;
+      friend class ostreambuf_iterator<char_type, traits_type>;
+      friend streamsize
+      __copy_streambufs_eof<>(__streambuf_type*, __streambuf_type*, bool&);
+      template<bool _IsMove, typename _CharT2>
+        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
+            _CharT2*>::__type
+        __copy_move_a2(istreambuf_iterator<_CharT2>,
+         istreambuf_iterator<_CharT2>, _CharT2*);
+      template<typename _CharT2>
+        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
+      istreambuf_iterator<_CharT2> >::__type
+        find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
+      const _CharT2&);
+      template<typename _CharT2, typename _Traits2>
+        friend basic_istream<_CharT2, _Traits2>&
+        operator>>(basic_istream<_CharT2, _Traits2>&, _CharT2*);
+      template<typename _CharT2, typename _Traits2, typename _Alloc>
+        friend basic_istream<_CharT2, _Traits2>&
+        operator>>(basic_istream<_CharT2, _Traits2>&,
+     basic_string<_CharT2, _Traits2, _Alloc>&);
+      template<typename _CharT2, typename _Traits2, typename _Alloc>
+        friend basic_istream<_CharT2, _Traits2>&
+        getline(basic_istream<_CharT2, _Traits2>&,
+  basic_string<_CharT2, _Traits2, _Alloc>&, _CharT2);
+    protected:
+      char_type* _M_in_beg;
+      char_type* _M_in_cur;
+      char_type* _M_in_end;
+      char_type* _M_out_beg;
+      char_type* _M_out_cur;
+      char_type* _M_out_end;
+      locale _M_buf_locale;
+  public:
+      virtual
+      ~basic_streambuf()
+      { }
+      locale
+      pubimbue(const locale &__loc)
+      {
+ locale __tmp(this->getloc());
+ this->imbue(__loc);
+ _M_buf_locale = __loc;
+ return __tmp;
+      }
+      locale
+      getloc() const
+      { return _M_buf_locale; }
+      __streambuf_type*
+      pubsetbuf(char_type* __s, streamsize __n)
+      { return this->setbuf(__s, __n); }
+      pos_type
+      pubseekoff(off_type __off, ios_base::seekdir __way,
+   ios_base::openmode __mode = ios_base::in | ios_base::out)
+      { return this->seekoff(__off, __way, __mode); }
+      pos_type
+      pubseekpos(pos_type __sp,
+   ios_base::openmode __mode = ios_base::in | ios_base::out)
+      { return this->seekpos(__sp, __mode); }
+      int
+      pubsync() { return this->sync(); }
+      streamsize
+      in_avail()
+      {
+ const streamsize __ret = this->egptr() - this->gptr();
+ return __ret ? __ret : this->showmanyc();
+      }
+      int_type
+      snextc()
+      {
+ int_type __ret = traits_type::eof();
+ if (__builtin_expect(!traits_type::eq_int_type(this->sbumpc(),
+             __ret), true))
+   __ret = this->sgetc();
+ return __ret;
+      }
+      int_type
+      sbumpc()
+      {
+ int_type __ret;
+ if (__builtin_expect(this->gptr() < this->egptr(), true))
+   {
+     __ret = traits_type::to_int_type(*this->gptr());
+     this->gbump(1);
+   }
+ else
+   __ret = this->uflow();
+ return __ret;
+      }
+      int_type
+      sgetc()
+      {
+ int_type __ret;
+ if (__builtin_expect(this->gptr() < this->egptr(), true))
+   __ret = traits_type::to_int_type(*this->gptr());
+ else
+   __ret = this->underflow();
+ return __ret;
+      }
+      streamsize
+      sgetn(char_type* __s, streamsize __n)
+      { return this->xsgetn(__s, __n); }
+      int_type
+      sputbackc(char_type __c)
+      {
+ int_type __ret;
+ const bool __testpos = this->eback() < this->gptr();
+ if (__builtin_expect(!__testpos ||
+        !traits_type::eq(__c, this->gptr()[-1]), false))
+   __ret = this->pbackfail(traits_type::to_int_type(__c));
+ else
+   {
+     this->gbump(-1);
+     __ret = traits_type::to_int_type(*this->gptr());
+   }
+ return __ret;
+      }
+      int_type
+      sungetc()
+      {
+ int_type __ret;
+ if (__builtin_expect(this->eback() < this->gptr(), true))
+   {
+     this->gbump(-1);
+     __ret = traits_type::to_int_type(*this->gptr());
+   }
+ else
+   __ret = this->pbackfail();
+ return __ret;
+      }
+      int_type
+      sputc(char_type __c)
+      {
+ int_type __ret;
+ if (__builtin_expect(this->pptr() < this->epptr(), true))
+   {
+     *this->pptr() = __c;
+     this->pbump(1);
+     __ret = traits_type::to_int_type(__c);
+   }
+ else
+   __ret = this->overflow(traits_type::to_int_type(__c));
+ return __ret;
+      }
+      streamsize
+      sputn(const char_type* __s, streamsize __n)
+      { return this->xsputn(__s, __n); }
+    protected:
+      basic_streambuf()
+      : _M_in_beg(0), _M_in_cur(0), _M_in_end(0),
+      _M_out_beg(0), _M_out_cur(0), _M_out_end(0),
+      _M_buf_locale(locale())
+      { }
+      char_type*
+      eback() const { return _M_in_beg; }
+      char_type*
+      gptr() const { return _M_in_cur; }
+      char_type*
+      egptr() const { return _M_in_end; }
+      void
+      gbump(int __n) { _M_in_cur += __n; }
+      void
+      setg(char_type* __gbeg, char_type* __gnext, char_type* __gend)
+      {
+ _M_in_beg = __gbeg;
+ _M_in_cur = __gnext;
+ _M_in_end = __gend;
+      }
+      char_type*
+      pbase() const { return _M_out_beg; }
+      char_type*
+      pptr() const { return _M_out_cur; }
+      char_type*
+      epptr() const { return _M_out_end; }
+      void
+      pbump(int __n) { _M_out_cur += __n; }
+      void
+      setp(char_type* __pbeg, char_type* __pend)
+      {
+ _M_out_beg = _M_out_cur = __pbeg;
+ _M_out_end = __pend;
+      }
+      virtual void
+      imbue(const locale&)
+      { }
+      virtual basic_streambuf<char_type,_Traits>*
+      setbuf(char_type*, streamsize)
+      { return this; }
+      virtual pos_type
+      seekoff(off_type, ios_base::seekdir,
+       ios_base::openmode = ios_base::in | ios_base::out)
+      { return pos_type(off_type(-1)); }
+      virtual pos_type
+      seekpos(pos_type,
+       ios_base::openmode = ios_base::in | ios_base::out)
+      { return pos_type(off_type(-1)); }
+      virtual int
+      sync() { return 0; }
+      virtual streamsize
+      showmanyc() { return 0; }
+      virtual streamsize
+      xsgetn(char_type* __s, streamsize __n);
+      virtual int_type
+      underflow()
+      { return traits_type::eof(); }
+      virtual int_type
+      uflow()
+      {
+ int_type __ret = traits_type::eof();
+ const bool __testeof = traits_type::eq_int_type(this->underflow(),
+       __ret);
+ if (!__testeof)
+   {
+     __ret = traits_type::to_int_type(*this->gptr());
+     this->gbump(1);
+   }
+ return __ret;
+      }
+      virtual int_type
+      pbackfail(int_type = traits_type::eof())
+      { return traits_type::eof(); }
+      virtual streamsize
+      xsputn(const char_type* __s, streamsize __n);
+      virtual int_type
+      overflow(int_type = traits_type::eof())
+      { return traits_type::eof(); }
+    public:
+      void
+      stossc()
+      {
+ if (this->gptr() < this->egptr())
+   this->gbump(1);
+ else
+   this->uflow();
+      }
+    private:
+      basic_streambuf(const __streambuf_type& __sb)
+      : _M_in_beg(__sb._M_in_beg), _M_in_cur(__sb._M_in_cur),
+      _M_in_end(__sb._M_in_end), _M_out_beg(__sb._M_out_beg),
+      _M_out_cur(__sb._M_out_cur), _M_out_end(__sb._M_out_cur),
+      _M_buf_locale(__sb._M_buf_locale)
+      { }
+      __streambuf_type&
+      operator=(const __streambuf_type&) { return *this; };
+    };
+  template<>
+    streamsize
+    __copy_streambufs_eof(basic_streambuf<char>* __sbin,
+     basic_streambuf<char>* __sbout, bool& __ineof);
+  template<>
+    streamsize
+    __copy_streambufs_eof(basic_streambuf<wchar_t>* __sbin,
+     basic_streambuf<wchar_t>* __sbout, bool& __ineof);
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    streamsize
+    basic_streambuf<_CharT, _Traits>::
+    xsgetn(char_type* __s, streamsize __n)
+    {
+      streamsize __ret = 0;
+      while (__ret < __n)
+ {
+   const streamsize __buf_len = this->egptr() - this->gptr();
+   if (__buf_len)
+     {
+       const streamsize __remaining = __n - __ret;
+       const streamsize __len = std::min(__buf_len, __remaining);
+       traits_type::copy(__s, this->gptr(), __len);
+       __ret += __len;
+       __s += __len;
+       this->gbump(__len);
+     }
+   if (__ret < __n)
+     {
+       const int_type __c = this->uflow();
+       if (!traits_type::eq_int_type(__c, traits_type::eof()))
+  {
+    traits_type::assign(*__s++, traits_type::to_char_type(__c));
+    ++__ret;
+  }
+       else
+  break;
+     }
+ }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits>
+    streamsize
+    basic_streambuf<_CharT, _Traits>::
+    xsputn(const char_type* __s, streamsize __n)
+    {
+      streamsize __ret = 0;
+      while (__ret < __n)
+ {
+   const streamsize __buf_len = this->epptr() - this->pptr();
+   if (__buf_len)
+     {
+       const streamsize __remaining = __n - __ret;
+       const streamsize __len = std::min(__buf_len, __remaining);
+       traits_type::copy(this->pptr(), __s, __len);
+       __ret += __len;
+       __s += __len;
+       this->pbump(__len);
+     }
+   if (__ret < __n)
+     {
+       int_type __c = this->overflow(traits_type::to_int_type(*__s));
+       if (!traits_type::eq_int_type(__c, traits_type::eof()))
+  {
+    ++__ret;
+    ++__s;
+  }
+       else
+  break;
+     }
+ }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits>
+    streamsize
+    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>* __sbin,
+     basic_streambuf<_CharT, _Traits>* __sbout,
+     bool& __ineof)
+    {
+      streamsize __ret = 0;
+      __ineof = true;
+      typename _Traits::int_type __c = __sbin->sgetc();
+      while (!_Traits::eq_int_type(__c, _Traits::eof()))
+ {
+   __c = __sbout->sputc(_Traits::to_char_type(__c));
+   if (_Traits::eq_int_type(__c, _Traits::eof()))
+     {
+       __ineof = false;
+       break;
+     }
+   ++__ret;
+   __c = __sbin->snextc();
+ }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits>
+    inline streamsize
+    __copy_streambufs(basic_streambuf<_CharT, _Traits>* __sbin,
+        basic_streambuf<_CharT, _Traits>* __sbout)
+    {
+      bool __ineof;
+      return __copy_streambufs_eof(__sbin, __sbout, __ineof);
+    }
+  extern template class basic_streambuf<char>;
+  extern template
+    streamsize
+    __copy_streambufs(basic_streambuf<char>*,
+        basic_streambuf<char>*);
+  extern template
+    streamsize
+    __copy_streambufs_eof(basic_streambuf<char>*,
+     basic_streambuf<char>*, bool&);
+  extern template class basic_streambuf<wchar_t>;
+  extern template
+    streamsize
+    __copy_streambufs(basic_streambuf<wchar_t>*,
+        basic_streambuf<wchar_t>*);
+  extern template
+    streamsize
+    __copy_streambufs_eof(basic_streambuf<wchar_t>*,
+     basic_streambuf<wchar_t>*, bool&);
+}
+       
+       
+       
+extern "C" {
+typedef int wctype_t;
+typedef int wctrans_t;
+int __attribute__((__cdecl__)) iswalpha (wint_t);
+int __attribute__((__cdecl__)) iswalnum (wint_t);
+int __attribute__((__cdecl__)) iswblank (wint_t);
+int __attribute__((__cdecl__)) iswcntrl (wint_t);
+int __attribute__((__cdecl__)) iswctype (wint_t, wctype_t);
+int __attribute__((__cdecl__)) iswdigit (wint_t);
+int __attribute__((__cdecl__)) iswgraph (wint_t);
+int __attribute__((__cdecl__)) iswlower (wint_t);
+int __attribute__((__cdecl__)) iswprint (wint_t);
+int __attribute__((__cdecl__)) iswpunct (wint_t);
+int __attribute__((__cdecl__)) iswspace (wint_t);
+int __attribute__((__cdecl__)) iswupper (wint_t);
+int __attribute__((__cdecl__)) iswxdigit (wint_t);
+wint_t __attribute__((__cdecl__)) towctrans (wint_t, wctrans_t);
+wint_t __attribute__((__cdecl__)) towupper (wint_t);
+wint_t __attribute__((__cdecl__)) towlower (wint_t);
+wctrans_t __attribute__((__cdecl__)) wctrans (const char *);
+wctype_t __attribute__((__cdecl__)) wctype (const char *);
+}
+namespace std {
+  using ::wctrans_t;
+  using ::wctype_t;
+  using ::wint_t;
+  using ::iswalnum;
+  using ::iswalpha;
+  using ::iswblank;
+  using ::iswcntrl;
+  using ::iswctype;
+  using ::iswdigit;
+  using ::iswgraph;
+  using ::iswlower;
+  using ::iswprint;
+  using ::iswpunct;
+  using ::iswspace;
+  using ::iswupper;
+  using ::iswxdigit;
+  using ::towctrans;
+  using ::towlower;
+  using ::towupper;
+  using ::wctrans;
+  using ::wctype;
+}
+       
+namespace std {
+  struct ctype_base
+  {
+    typedef const int* __to_type;
+    typedef char mask;
+    static const mask upper = 01;
+    static const mask lower = 02;
+    static const mask alpha = 01 | 02;
+    static const mask digit = 04;
+    static const mask xdigit = 0100 | 04;
+    static const mask space = 010;
+    static const mask print = 020 | 01 | 02 | 04 | 0200;
+    static const mask graph = 020 | 01 | 02 | 04;
+    static const mask cntrl = 040;
+    static const mask punct = 020;
+    static const mask alnum = 01 | 02 | 04;
+  };
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    class istreambuf_iterator
+    : public iterator<input_iterator_tag, _CharT, typename _Traits::off_type,
+        _CharT*, _CharT&>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef typename _Traits::int_type int_type;
+      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
+      typedef basic_istream<_CharT, _Traits> istream_type;
+      template<typename _CharT2>
+ friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
+                      ostreambuf_iterator<_CharT2> >::__type
+ copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
+      ostreambuf_iterator<_CharT2>);
+      template<bool _IsMove, typename _CharT2>
+ friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
+            _CharT2*>::__type
+ __copy_move_a2(istreambuf_iterator<_CharT2>,
+         istreambuf_iterator<_CharT2>, _CharT2*);
+      template<typename _CharT2>
+ friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
+               istreambuf_iterator<_CharT2> >::__type
+ find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
+      const _CharT2&);
+    private:
+      mutable streambuf_type* _M_sbuf;
+      mutable int_type _M_c;
+    public:
+      istreambuf_iterator() throw()
+      : _M_sbuf(0), _M_c(traits_type::eof()) { }
+      istreambuf_iterator(istream_type& __s) throw()
+      : _M_sbuf(__s.rdbuf()), _M_c(traits_type::eof()) { }
+      istreambuf_iterator(streambuf_type* __s) throw()
+      : _M_sbuf(__s), _M_c(traits_type::eof()) { }
+      char_type
+      operator*() const
+      {
+ return traits_type::to_char_type(_M_get());
+      }
+      istreambuf_iterator&
+      operator++()
+      {
+ ;
+ if (_M_sbuf)
+   {
+     _M_sbuf->sbumpc();
+     _M_c = traits_type::eof();
+   }
+ return *this;
+      }
+      istreambuf_iterator
+      operator++(int)
+      {
+ ;
+ istreambuf_iterator __old = *this;
+ if (_M_sbuf)
+   {
+     __old._M_c = _M_sbuf->sbumpc();
+     _M_c = traits_type::eof();
+   }
+ return __old;
+      }
+      bool
+      equal(const istreambuf_iterator& __b) const
+      { return _M_at_eof() == __b._M_at_eof(); }
+    private:
+      int_type
+      _M_get() const
+      {
+ const int_type __eof = traits_type::eof();
+ int_type __ret = __eof;
+ if (_M_sbuf)
+   {
+     if (!traits_type::eq_int_type(_M_c, __eof))
+       __ret = _M_c;
+     else if (!traits_type::eq_int_type((__ret = _M_sbuf->sgetc()),
+            __eof))
+       _M_c = __ret;
+     else
+       _M_sbuf = 0;
+   }
+ return __ret;
+      }
+      bool
+      _M_at_eof() const
+      {
+ const int_type __eof = traits_type::eof();
+ return traits_type::eq_int_type(_M_get(), __eof);
+      }
+    };
+  template<typename _CharT, typename _Traits>
+    inline bool
+    operator==(const istreambuf_iterator<_CharT, _Traits>& __a,
+        const istreambuf_iterator<_CharT, _Traits>& __b)
+    { return __a.equal(__b); }
+  template<typename _CharT, typename _Traits>
+    inline bool
+    operator!=(const istreambuf_iterator<_CharT, _Traits>& __a,
+        const istreambuf_iterator<_CharT, _Traits>& __b)
+    { return !__a.equal(__b); }
+  template<typename _CharT, typename _Traits>
+    class ostreambuf_iterator
+    : public iterator<output_iterator_tag, void, void, void, void>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
+      typedef basic_ostream<_CharT, _Traits> ostream_type;
+      template<typename _CharT2>
+ friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
+                      ostreambuf_iterator<_CharT2> >::__type
+ copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
+      ostreambuf_iterator<_CharT2>);
+    private:
+      streambuf_type* _M_sbuf;
+      bool _M_failed;
+    public:
+      ostreambuf_iterator(ostream_type& __s) throw ()
+      : _M_sbuf(__s.rdbuf()), _M_failed(!_M_sbuf) { }
+      ostreambuf_iterator(streambuf_type* __s) throw ()
+      : _M_sbuf(__s), _M_failed(!_M_sbuf) { }
+      ostreambuf_iterator&
+      operator=(_CharT __c)
+      {
+ if (!_M_failed &&
+     _Traits::eq_int_type(_M_sbuf->sputc(__c), _Traits::eof()))
+   _M_failed = true;
+ return *this;
+      }
+      ostreambuf_iterator&
+      operator*()
+      { return *this; }
+      ostreambuf_iterator&
+      operator++(int)
+      { return *this; }
+      ostreambuf_iterator&
+      operator++()
+      { return *this; }
+      bool
+      failed() const throw()
+      { return _M_failed; }
+      ostreambuf_iterator&
+      _M_put(const _CharT* __ws, streamsize __len)
+      {
+ if (__builtin_expect(!_M_failed, true)
+     && __builtin_expect(this->_M_sbuf->sputn(__ws, __len) != __len,
+    false))
+   _M_failed = true;
+ return *this;
+      }
+    };
+  template<typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+                           ostreambuf_iterator<_CharT> >::__type
+    copy(istreambuf_iterator<_CharT> __first,
+  istreambuf_iterator<_CharT> __last,
+  ostreambuf_iterator<_CharT> __result)
+    {
+      if (__first._M_sbuf && !__last._M_sbuf && !__result._M_failed)
+ {
+   bool __ineof;
+   __copy_streambufs_eof(__first._M_sbuf, __result._M_sbuf, __ineof);
+   if (!__ineof)
+     __result._M_failed = true;
+ }
+      return __result;
+    }
+  template<bool _IsMove, typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+            ostreambuf_iterator<_CharT> >::__type
+    __copy_move_a2(_CharT* __first, _CharT* __last,
+     ostreambuf_iterator<_CharT> __result)
+    {
+      const streamsize __num = __last - __first;
+      if (__num > 0)
+ __result._M_put(__first, __num);
+      return __result;
+    }
+  template<bool _IsMove, typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+        ostreambuf_iterator<_CharT> >::__type
+    __copy_move_a2(const _CharT* __first, const _CharT* __last,
+     ostreambuf_iterator<_CharT> __result)
+    {
+      const streamsize __num = __last - __first;
+      if (__num > 0)
+ __result._M_put(__first, __num);
+      return __result;
+    }
+  template<bool _IsMove, typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+            _CharT*>::__type
+    __copy_move_a2(istreambuf_iterator<_CharT> __first,
+     istreambuf_iterator<_CharT> __last, _CharT* __result)
+    {
+      typedef istreambuf_iterator<_CharT> __is_iterator_type;
+      typedef typename __is_iterator_type::traits_type traits_type;
+      typedef typename __is_iterator_type::streambuf_type streambuf_type;
+      typedef typename traits_type::int_type int_type;
+      if (__first._M_sbuf && !__last._M_sbuf)
+ {
+   streambuf_type* __sb = __first._M_sbuf;
+   int_type __c = __sb->sgetc();
+   while (!traits_type::eq_int_type(__c, traits_type::eof()))
+     {
+       const streamsize __n = __sb->egptr() - __sb->gptr();
+       if (__n > 1)
+  {
+    traits_type::copy(__result, __sb->gptr(), __n);
+    __sb->gbump(__n);
+    __result += __n;
+    __c = __sb->underflow();
+  }
+       else
+  {
+    *__result++ = traits_type::to_char_type(__c);
+    __c = __sb->snextc();
+  }
+     }
+ }
+      return __result;
+    }
+  template<typename _CharT>
+    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
+          istreambuf_iterator<_CharT> >::__type
+    find(istreambuf_iterator<_CharT> __first,
+  istreambuf_iterator<_CharT> __last, const _CharT& __val)
+    {
+      typedef istreambuf_iterator<_CharT> __is_iterator_type;
+      typedef typename __is_iterator_type::traits_type traits_type;
+      typedef typename __is_iterator_type::streambuf_type streambuf_type;
+      typedef typename traits_type::int_type int_type;
+      if (__first._M_sbuf && !__last._M_sbuf)
+ {
+   const int_type __ival = traits_type::to_int_type(__val);
+   streambuf_type* __sb = __first._M_sbuf;
+   int_type __c = __sb->sgetc();
+   while (!traits_type::eq_int_type(__c, traits_type::eof())
+   && !traits_type::eq_int_type(__c, __ival))
+     {
+       streamsize __n = __sb->egptr() - __sb->gptr();
+       if (__n > 1)
+  {
+    const _CharT* __p = traits_type::find(__sb->gptr(),
+       __n, __val);
+    if (__p)
+      __n = __p - __sb->gptr();
+    __sb->gbump(__n);
+    __c = __sb->sgetc();
+  }
+       else
+  __c = __sb->snextc();
+     }
+   if (!traits_type::eq_int_type(__c, traits_type::eof()))
+     __first._M_c = __c;
+   else
+     __first._M_sbuf = 0;
+ }
+      return __first;
+    }
+}
+namespace std {
+  template<typename _Tv>
+    void
+    __convert_to_v(const char* __in, _Tv& __out, ios_base::iostate& __err,
+     const __c_locale& __cloc);
+  template<>
+    void
+    __convert_to_v(const char*, float&, ios_base::iostate&,
+     const __c_locale&);
+  template<>
+    void
+    __convert_to_v(const char*, double&, ios_base::iostate&,
+     const __c_locale&);
+  template<>
+    void
+    __convert_to_v(const char*, long double&, ios_base::iostate&,
+     const __c_locale&);
+  template<typename _CharT, typename _Traits>
+    struct __pad
+    {
+      static void
+      _S_pad(ios_base& __io, _CharT __fill, _CharT* __news,
+      const _CharT* __olds, const streamsize __newlen,
+      const streamsize __oldlen);
+    };
+  template<typename _CharT>
+    _CharT*
+    __add_grouping(_CharT* __s, _CharT __sep,
+     const char* __gbeg, size_t __gsize,
+     const _CharT* __first, const _CharT* __last);
+  template<typename _CharT>
+    inline
+    ostreambuf_iterator<_CharT>
+    __write(ostreambuf_iterator<_CharT> __s, const _CharT* __ws, int __len)
+    {
+      __s._M_put(__ws, __len);
+      return __s;
+    }
+  template<typename _CharT, typename _OutIter>
+    inline
+    _OutIter
+    __write(_OutIter __s, const _CharT* __ws, int __len)
+    {
+      for (int __j = 0; __j < __len; __j++, ++__s)
+ *__s = __ws[__j];
+      return __s;
+    }
+  template<typename _CharT>
+    class __ctype_abstract_base : public locale::facet, public ctype_base
+    {
+    public:
+      typedef _CharT char_type;
+      bool
+      is(mask __m, char_type __c) const
+      { return this->do_is(__m, __c); }
+      const char_type*
+      is(const char_type *__lo, const char_type *__hi, mask *__vec) const
+      { return this->do_is(__lo, __hi, __vec); }
+      const char_type*
+      scan_is(mask __m, const char_type* __lo, const char_type* __hi) const
+      { return this->do_scan_is(__m, __lo, __hi); }
+      const char_type*
+      scan_not(mask __m, const char_type* __lo, const char_type* __hi) const
+      { return this->do_scan_not(__m, __lo, __hi); }
+      char_type
+      toupper(char_type __c) const
+      { return this->do_toupper(__c); }
+      const char_type*
+      toupper(char_type *__lo, const char_type* __hi) const
+      { return this->do_toupper(__lo, __hi); }
+      char_type
+      tolower(char_type __c) const
+      { return this->do_tolower(__c); }
+      const char_type*
+      tolower(char_type* __lo, const char_type* __hi) const
+      { return this->do_tolower(__lo, __hi); }
+      char_type
+      widen(char __c) const
+      { return this->do_widen(__c); }
+      const char*
+      widen(const char* __lo, const char* __hi, char_type* __to) const
+      { return this->do_widen(__lo, __hi, __to); }
+      char
+      narrow(char_type __c, char __dfault) const
+      { return this->do_narrow(__c, __dfault); }
+      const char_type*
+      narrow(const char_type* __lo, const char_type* __hi,
+       char __dfault, char *__to) const
+      { return this->do_narrow(__lo, __hi, __dfault, __to); }
+    protected:
+      explicit
+      __ctype_abstract_base(size_t __refs = 0): facet(__refs) { }
+      virtual
+      ~__ctype_abstract_base() { }
+      virtual bool
+      do_is(mask __m, char_type __c) const = 0;
+      virtual const char_type*
+      do_is(const char_type* __lo, const char_type* __hi,
+     mask* __vec) const = 0;
+      virtual const char_type*
+      do_scan_is(mask __m, const char_type* __lo,
+   const char_type* __hi) const = 0;
+      virtual const char_type*
+      do_scan_not(mask __m, const char_type* __lo,
+    const char_type* __hi) const = 0;
+      virtual char_type
+      do_toupper(char_type) const = 0;
+      virtual const char_type*
+      do_toupper(char_type* __lo, const char_type* __hi) const = 0;
+      virtual char_type
+      do_tolower(char_type) const = 0;
+      virtual const char_type*
+      do_tolower(char_type* __lo, const char_type* __hi) const = 0;
+      virtual char_type
+      do_widen(char) const = 0;
+      virtual const char*
+      do_widen(const char* __lo, const char* __hi,
+        char_type* __dest) const = 0;
+      virtual char
+      do_narrow(char_type, char __dfault) const = 0;
+      virtual const char_type*
+      do_narrow(const char_type* __lo, const char_type* __hi,
+  char __dfault, char* __dest) const = 0;
+    };
+  template<typename _CharT>
+    class ctype : public __ctype_abstract_base<_CharT>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef typename __ctype_abstract_base<_CharT>::mask mask;
+      static locale::id id;
+      explicit
+      ctype(size_t __refs = 0) : __ctype_abstract_base<_CharT>(__refs) { }
+   protected:
+      virtual
+      ~ctype();
+      virtual bool
+      do_is(mask __m, char_type __c) const;
+      virtual const char_type*
+      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;
+      virtual const char_type*
+      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;
+      virtual const char_type*
+      do_scan_not(mask __m, const char_type* __lo,
+    const char_type* __hi) const;
+      virtual char_type
+      do_toupper(char_type __c) const;
+      virtual const char_type*
+      do_toupper(char_type* __lo, const char_type* __hi) const;
+      virtual char_type
+      do_tolower(char_type __c) const;
+      virtual const char_type*
+      do_tolower(char_type* __lo, const char_type* __hi) const;
+      virtual char_type
+      do_widen(char __c) const;
+      virtual const char*
+      do_widen(const char* __lo, const char* __hi, char_type* __dest) const;
+      virtual char
+      do_narrow(char_type, char __dfault) const;
+      virtual const char_type*
+      do_narrow(const char_type* __lo, const char_type* __hi,
+  char __dfault, char* __dest) const;
+    };
+  template<typename _CharT>
+    locale::id ctype<_CharT>::id;
+  template<>
+    class ctype<char> : public locale::facet, public ctype_base
+    {
+    public:
+      typedef char char_type;
+    protected:
+      __c_locale _M_c_locale_ctype;
+      bool _M_del;
+      __to_type _M_toupper;
+      __to_type _M_tolower;
+      const mask* _M_table;
+      mutable char _M_widen_ok;
+      mutable char _M_widen[1 + static_cast<unsigned char>(-1)];
+      mutable char _M_narrow[1 + static_cast<unsigned char>(-1)];
+      mutable char _M_narrow_ok;
+    public:
+      static locale::id id;
+      static const size_t table_size = 1 + static_cast<unsigned char>(-1);
+      explicit
+      ctype(const mask* __table = 0, bool __del = false, size_t __refs = 0);
+      explicit
+      ctype(__c_locale __cloc, const mask* __table = 0, bool __del = false,
+     size_t __refs = 0);
+      inline bool
+      is(mask __m, char __c) const;
+      inline const char*
+      is(const char* __lo, const char* __hi, mask* __vec) const;
+      inline const char*
+      scan_is(mask __m, const char* __lo, const char* __hi) const;
+      inline const char*
+      scan_not(mask __m, const char* __lo, const char* __hi) const;
+      char_type
+      toupper(char_type __c) const
+      { return this->do_toupper(__c); }
+      const char_type*
+      toupper(char_type *__lo, const char_type* __hi) const
+      { return this->do_toupper(__lo, __hi); }
+      char_type
+      tolower(char_type __c) const
+      { return this->do_tolower(__c); }
+      const char_type*
+      tolower(char_type* __lo, const char_type* __hi) const
+      { return this->do_tolower(__lo, __hi); }
+      char_type
+      widen(char __c) const
+      {
+ if (_M_widen_ok)
+   return _M_widen[static_cast<unsigned char>(__c)];
+ this->_M_widen_init();
+ return this->do_widen(__c);
+      }
+      const char*
+      widen(const char* __lo, const char* __hi, char_type* __to) const
+      {
+ if (_M_widen_ok == 1)
+   {
+     __builtin_memcpy(__to, __lo, __hi - __lo);
+     return __hi;
+   }
+ if (!_M_widen_ok)
+   _M_widen_init();
+ return this->do_widen(__lo, __hi, __to);
+      }
+      char
+      narrow(char_type __c, char __dfault) const
+      {
+ if (_M_narrow[static_cast<unsigned char>(__c)])
+   return _M_narrow[static_cast<unsigned char>(__c)];
+ const char __t = do_narrow(__c, __dfault);
+ if (__t != __dfault)
+   _M_narrow[static_cast<unsigned char>(__c)] = __t;
+ return __t;
+      }
+      const char_type*
+      narrow(const char_type* __lo, const char_type* __hi,
+      char __dfault, char *__to) const
+      {
+ if (__builtin_expect(_M_narrow_ok == 1, true))
+   {
+     __builtin_memcpy(__to, __lo, __hi - __lo);
+     return __hi;
+   }
+ if (!_M_narrow_ok)
+   _M_narrow_init();
+ return this->do_narrow(__lo, __hi, __dfault, __to);
+      }
+      const mask*
+      table() const throw()
+      { return _M_table; }
+      static const mask*
+      classic_table() throw();
+    protected:
+      virtual
+      ~ctype();
+      virtual char_type
+      do_toupper(char_type) const;
+      virtual const char_type*
+      do_toupper(char_type* __lo, const char_type* __hi) const;
+      virtual char_type
+      do_tolower(char_type) const;
+      virtual const char_type*
+      do_tolower(char_type* __lo, const char_type* __hi) const;
+      virtual char_type
+      do_widen(char __c) const
+      { return __c; }
+      virtual const char*
+      do_widen(const char* __lo, const char* __hi, char_type* __dest) const
+      {
+ __builtin_memcpy(__dest, __lo, __hi - __lo);
+ return __hi;
+      }
+      virtual char
+      do_narrow(char_type __c, char) const
+      { return __c; }
+      virtual const char_type*
+      do_narrow(const char_type* __lo, const char_type* __hi,
+  char, char* __dest) const
+      {
+ __builtin_memcpy(__dest, __lo, __hi - __lo);
+ return __hi;
+      }
+    private:
+      void _M_widen_init() const
+      {
+ char __tmp[sizeof(_M_widen)];
+ for (size_t __i = 0; __i < sizeof(_M_widen); ++__i)
+   __tmp[__i] = __i;
+ do_widen(__tmp, __tmp + sizeof(__tmp), _M_widen);
+ _M_widen_ok = 1;
+ if (__builtin_memcmp(__tmp, _M_widen, sizeof(_M_widen)))
+   _M_widen_ok = 2;
+      }
+      void _M_narrow_init() const
+      {
+ char __tmp[sizeof(_M_narrow)];
+ for (size_t __i = 0; __i < sizeof(_M_narrow); ++__i)
+   __tmp[__i] = __i;
+ do_narrow(__tmp, __tmp + sizeof(__tmp), 0, _M_narrow);
+ _M_narrow_ok = 1;
+ if (__builtin_memcmp(__tmp, _M_narrow, sizeof(_M_narrow)))
+   _M_narrow_ok = 2;
+ else
+   {
+     char __c;
+     do_narrow(__tmp, __tmp + 1, 1, &__c);
+     if (__c == 1)
+       _M_narrow_ok = 2;
+   }
+      }
+    };
+  template<>
+    const ctype<char>&
+    use_facet<ctype<char> >(const locale& __loc);
+  template<>
+    class ctype<wchar_t> : public __ctype_abstract_base<wchar_t>
+    {
+    public:
+      typedef wchar_t char_type;
+      typedef wctype_t __wmask_type;
+    protected:
+      __c_locale _M_c_locale_ctype;
+      bool _M_narrow_ok;
+      char _M_narrow[128];
+      wint_t _M_widen[1 + static_cast<unsigned char>(-1)];
+      mask _M_bit[16];
+      __wmask_type _M_wmask[16];
+    public:
+      static locale::id id;
+      explicit
+      ctype(size_t __refs = 0);
+      explicit
+      ctype(__c_locale __cloc, size_t __refs = 0);
+    protected:
+      __wmask_type
+      _M_convert_to_wmask(const mask __m) const;
+      virtual
+      ~ctype();
+      virtual bool
+      do_is(mask __m, char_type __c) const;
+      virtual const char_type*
+      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;
+      virtual const char_type*
+      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;
+      virtual const char_type*
+      do_scan_not(mask __m, const char_type* __lo,
+    const char_type* __hi) const;
+      virtual char_type
+      do_toupper(char_type) const;
+      virtual const char_type*
+      do_toupper(char_type* __lo, const char_type* __hi) const;
+      virtual char_type
+      do_tolower(char_type) const;
+      virtual const char_type*
+      do_tolower(char_type* __lo, const char_type* __hi) const;
+      virtual char_type
+      do_widen(char) const;
+      virtual const char*
+      do_widen(const char* __lo, const char* __hi, char_type* __dest) const;
+      virtual char
+      do_narrow(char_type, char __dfault) const;
+      virtual const char_type*
+      do_narrow(const char_type* __lo, const char_type* __hi,
+  char __dfault, char* __dest) const;
+      void
+      _M_initialize_ctype();
+    };
+  template<>
+    const ctype<wchar_t>&
+    use_facet<ctype<wchar_t> >(const locale& __loc);
+  template<typename _CharT>
+    class ctype_byname : public ctype<_CharT>
+    {
+    public:
+      typedef typename ctype<_CharT>::mask mask;
+      explicit
+      ctype_byname(const char* __s, size_t __refs = 0);
+    protected:
+      virtual
+      ~ctype_byname() { };
+    };
+  template<>
+    class ctype_byname<char> : public ctype<char>
+    {
+    public:
+      explicit
+      ctype_byname(const char* __s, size_t __refs = 0);
+    protected:
+      virtual
+      ~ctype_byname();
+    };
+  template<>
+    class ctype_byname<wchar_t> : public ctype<wchar_t>
+    {
+    public:
+      explicit
+      ctype_byname(const char* __s, size_t __refs = 0);
+    protected:
+      virtual
+      ~ctype_byname();
+    };
+}
+namespace std {
+  bool
+  ctype<char>::
+  is(mask __m, char __c) const
+  { return _M_table[static_cast<unsigned char>(__c)] & __m; }
+  const char*
+  ctype<char>::
+  is(const char* __low, const char* __high, mask* __vec) const
+  {
+    while (__low < __high)
+      *__vec++ = _M_table[static_cast<unsigned char>(*__low++)];
+    return __high;
+  }
+  const char*
+  ctype<char>::
+  scan_is(mask __m, const char* __low, const char* __high) const
+  {
+    while (__low < __high && !this->is(__m, *__low))
+      ++__low;
+    return __low;
+  }
+  const char*
+  ctype<char>::
+  scan_not(mask __m, const char* __low, const char* __high) const
+  {
+    while (__low < __high && this->is(__m, *__low) != 0)
+      ++__low;
+    return __low;
+  }
+}
+namespace std {
+  class __num_base
+  {
+  public:
+    enum
+      {
+        _S_ominus,
+        _S_oplus,
+        _S_ox,
+        _S_oX,
+        _S_odigits,
+        _S_odigits_end = _S_odigits + 16,
+        _S_oudigits = _S_odigits_end,
+        _S_oudigits_end = _S_oudigits + 16,
+        _S_oe = _S_odigits + 14,
+        _S_oE = _S_oudigits + 14,
+ _S_oend = _S_oudigits_end
+      };
+    static const char* _S_atoms_out;
+    static const char* _S_atoms_in;
+    enum
+    {
+      _S_iminus,
+      _S_iplus,
+      _S_ix,
+      _S_iX,
+      _S_izero,
+      _S_ie = _S_izero + 14,
+      _S_iE = _S_izero + 20,
+      _S_iend = 26
+    };
+    static void
+    _S_format_float(const ios_base& __io, char* __fptr, char __mod);
+  };
+  template<typename _CharT>
+    struct __numpunct_cache : public locale::facet
+    {
+      const char* _M_grouping;
+      size_t _M_grouping_size;
+      bool _M_use_grouping;
+      const _CharT* _M_truename;
+      size_t _M_truename_size;
+      const _CharT* _M_falsename;
+      size_t _M_falsename_size;
+      _CharT _M_decimal_point;
+      _CharT _M_thousands_sep;
+      _CharT _M_atoms_out[__num_base::_S_oend];
+      _CharT _M_atoms_in[__num_base::_S_iend];
+      bool _M_allocated;
+      __numpunct_cache(size_t __refs = 0) : facet(__refs),
+      _M_grouping(__null), _M_grouping_size(0), _M_use_grouping(false),
+      _M_truename(__null), _M_truename_size(0), _M_falsename(__null),
+      _M_falsename_size(0), _M_decimal_point(_CharT()),
+      _M_thousands_sep(_CharT()), _M_allocated(false)
+      { }
+      ~__numpunct_cache();
+      void
+      _M_cache(const locale& __loc);
+    private:
+      __numpunct_cache&
+      operator=(const __numpunct_cache&);
+      explicit
+      __numpunct_cache(const __numpunct_cache&);
+    };
+  template<typename _CharT>
+    __numpunct_cache<_CharT>::~__numpunct_cache()
+    {
+      if (_M_allocated)
+ {
+   delete [] _M_grouping;
+   delete [] _M_truename;
+   delete [] _M_falsename;
+ }
+    }
+  template<typename _CharT>
+    class numpunct : public locale::facet
+    {
+    public:
+      typedef _CharT char_type;
+      typedef basic_string<_CharT> string_type;
+      typedef __numpunct_cache<_CharT> __cache_type;
+    protected:
+      __cache_type* _M_data;
+    public:
+      static locale::id id;
+      explicit
+      numpunct(size_t __refs = 0) : facet(__refs), _M_data(__null)
+      { _M_initialize_numpunct(); }
+      explicit
+      numpunct(__cache_type* __cache, size_t __refs = 0)
+      : facet(__refs), _M_data(__cache)
+      { _M_initialize_numpunct(); }
+      explicit
+      numpunct(__c_locale __cloc, size_t __refs = 0)
+      : facet(__refs), _M_data(__null)
+      { _M_initialize_numpunct(__cloc); }
+      char_type
+      decimal_point() const
+      { return this->do_decimal_point(); }
+      char_type
+      thousands_sep() const
+      { return this->do_thousands_sep(); }
+      string
+      grouping() const
+      { return this->do_grouping(); }
+      string_type
+      truename() const
+      { return this->do_truename(); }
+      string_type
+      falsename() const
+      { return this->do_falsename(); }
+    protected:
+      virtual
+      ~numpunct();
+      virtual char_type
+      do_decimal_point() const
+      { return _M_data->_M_decimal_point; }
+      virtual char_type
+      do_thousands_sep() const
+      { return _M_data->_M_thousands_sep; }
+      virtual string
+      do_grouping() const
+      { return _M_data->_M_grouping; }
+      virtual string_type
+      do_truename() const
+      { return _M_data->_M_truename; }
+      virtual string_type
+      do_falsename() const
+      { return _M_data->_M_falsename; }
+      void
+      _M_initialize_numpunct(__c_locale __cloc = __null);
+    };
+  template<typename _CharT>
+    locale::id numpunct<_CharT>::id;
+  template<>
+    numpunct<char>::~numpunct();
+  template<>
+    void
+    numpunct<char>::_M_initialize_numpunct(__c_locale __cloc);
+  template<>
+    numpunct<wchar_t>::~numpunct();
+  template<>
+    void
+    numpunct<wchar_t>::_M_initialize_numpunct(__c_locale __cloc);
+  template<typename _CharT>
+    class numpunct_byname : public numpunct<_CharT>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef basic_string<_CharT> string_type;
+      explicit
+      numpunct_byname(const char* __s, size_t __refs = 0)
+      : numpunct<_CharT>(__refs)
+      {
+ if (__builtin_strcmp(__s, "C") != 0
+     && __builtin_strcmp(__s, "POSIX") != 0)
+   {
+     __c_locale __tmp;
+     this->_S_create_c_locale(__tmp, __s);
+     this->_M_initialize_numpunct(__tmp);
+     this->_S_destroy_c_locale(__tmp);
+   }
+      }
+    protected:
+      virtual
+      ~numpunct_byname() { }
+    };
+
+  template<typename _CharT, typename _InIter>
+    class num_get : public locale::facet
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _InIter iter_type;
+      static locale::id id;
+      explicit
+      num_get(size_t __refs = 0) : facet(__refs) { }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, bool& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, long& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, unsigned short& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, unsigned int& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, unsigned long& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, long long& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, unsigned long long& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, float& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, double& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, long double& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+      iter_type
+      get(iter_type __in, iter_type __end, ios_base& __io,
+   ios_base::iostate& __err, void*& __v) const
+      { return this->do_get(__in, __end, __io, __err, __v); }
+    protected:
+      virtual ~num_get() { }
+      iter_type
+      _M_extract_float(iter_type, iter_type, ios_base&, ios_base::iostate&,
+         string& __xtrc) const;
+      template<typename _ValueT>
+        iter_type
+        _M_extract_int(iter_type, iter_type, ios_base&, ios_base::iostate&,
+         _ValueT& __v) const;
+      template<typename _CharT2>
+      typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value, int>::__type
+        _M_find(const _CharT2*, size_t __len, _CharT2 __c) const
+        {
+   int __ret = -1;
+   if (__len <= 10)
+     {
+       if (__c >= _CharT2('0') && __c < _CharT2(_CharT2('0') + __len))
+  __ret = __c - _CharT2('0');
+     }
+   else
+     {
+       if (__c >= _CharT2('0') && __c <= _CharT2('9'))
+  __ret = __c - _CharT2('0');
+       else if (__c >= _CharT2('a') && __c <= _CharT2('f'))
+  __ret = 10 + (__c - _CharT2('a'));
+       else if (__c >= _CharT2('A') && __c <= _CharT2('F'))
+  __ret = 10 + (__c - _CharT2('A'));
+     }
+   return __ret;
+ }
+      template<typename _CharT2>
+      typename __gnu_cxx::__enable_if<!__is_char<_CharT2>::__value,
+          int>::__type
+        _M_find(const _CharT2* __zero, size_t __len, _CharT2 __c) const
+        {
+   int __ret = -1;
+   const char_type* __q = char_traits<_CharT2>::find(__zero, __len, __c);
+   if (__q)
+     {
+       __ret = __q - __zero;
+       if (__ret > 15)
+  __ret -= 6;
+     }
+   return __ret;
+ }
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, bool&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, long&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+       unsigned short&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      unsigned int&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      unsigned long&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      long long&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      unsigned long long&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      float&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      double&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      long double&) const;
+      virtual iter_type
+      do_get(iter_type, iter_type, ios_base&, ios_base::iostate& __err,
+      void*&) const;
+    };
+  template<typename _CharT, typename _InIter>
+    locale::id num_get<_CharT, _InIter>::id;
+  template<typename _CharT, typename _OutIter>
+    class num_put : public locale::facet
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _OutIter iter_type;
+      static locale::id id;
+      explicit
+      num_put(size_t __refs = 0) : facet(__refs) { }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill, bool __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill, long __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill,
+   unsigned long __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill, long long __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill,
+   unsigned long long __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill, double __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill,
+   long double __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+      iter_type
+      put(iter_type __s, ios_base& __f, char_type __fill,
+   const void* __v) const
+      { return this->do_put(__s, __f, __fill, __v); }
+    protected:
+      template<typename _ValueT>
+        iter_type
+        _M_insert_float(iter_type, ios_base& __io, char_type __fill,
+   char __mod, _ValueT __v) const;
+      void
+      _M_group_float(const char* __grouping, size_t __grouping_size,
+       char_type __sep, const char_type* __p, char_type* __new,
+       char_type* __cs, int& __len) const;
+      template<typename _ValueT>
+        iter_type
+        _M_insert_int(iter_type, ios_base& __io, char_type __fill,
+        _ValueT __v) const;
+      void
+      _M_group_int(const char* __grouping, size_t __grouping_size,
+     char_type __sep, ios_base& __io, char_type* __new,
+     char_type* __cs, int& __len) const;
+      void
+      _M_pad(char_type __fill, streamsize __w, ios_base& __io,
+      char_type* __new, const char_type* __cs, int& __len) const;
+      virtual
+      ~num_put() { };
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, bool __v) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, long __v) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, unsigned long) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, long long __v) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, unsigned long long) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, double __v) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, long double __v) const;
+      virtual iter_type
+      do_put(iter_type, ios_base&, char_type __fill, const void* __v) const;
+    };
+  template <typename _CharT, typename _OutIter>
+    locale::id num_put<_CharT, _OutIter>::id;
+
+  template<typename _CharT>
+    inline bool
+    isspace(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::space, __c); }
+  template<typename _CharT>
+    inline bool
+    isprint(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::print, __c); }
+  template<typename _CharT>
+    inline bool
+    iscntrl(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::cntrl, __c); }
+  template<typename _CharT>
+    inline bool
+    isupper(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::upper, __c); }
+  template<typename _CharT>
+    inline bool
+    islower(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::lower, __c); }
+  template<typename _CharT>
+    inline bool
+    isalpha(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alpha, __c); }
+  template<typename _CharT>
+    inline bool
+    isdigit(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::digit, __c); }
+  template<typename _CharT>
+    inline bool
+    ispunct(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::punct, __c); }
+  template<typename _CharT>
+    inline bool
+    isxdigit(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::xdigit, __c); }
+  template<typename _CharT>
+    inline bool
+    isalnum(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alnum, __c); }
+  template<typename _CharT>
+    inline bool
+    isgraph(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::graph, __c); }
+  template<typename _CharT>
+    inline _CharT
+    toupper(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).toupper(__c); }
+  template<typename _CharT>
+    inline _CharT
+    tolower(_CharT __c, const locale& __loc)
+    { return use_facet<ctype<_CharT> >(__loc).tolower(__c); }
+}
+       
+namespace std {
+  template<typename _Facet>
+    struct __use_cache
+    {
+      const _Facet*
+      operator() (const locale& __loc) const;
+    };
+  template<typename _CharT>
+    struct __use_cache<__numpunct_cache<_CharT> >
+    {
+      const __numpunct_cache<_CharT>*
+      operator() (const locale& __loc) const
+      {
+ const size_t __i = numpunct<_CharT>::id._M_id();
+ const locale::facet** __caches = __loc._M_impl->_M_caches;
+ if (!__caches[__i])
+   {
+     __numpunct_cache<_CharT>* __tmp = __null;
+     try
+       {
+  __tmp = new __numpunct_cache<_CharT>;
+  __tmp->_M_cache(__loc);
+       }
+     catch(...)
+       {
+  delete __tmp;
+  throw;
+       }
+     __loc._M_impl->_M_install_cache(__tmp, __i);
+   }
+ return static_cast<const __numpunct_cache<_CharT>*>(__caches[__i]);
+      }
+    };
+  template<typename _CharT>
+    void
+    __numpunct_cache<_CharT>::_M_cache(const locale& __loc)
+    {
+      _M_allocated = true;
+      const numpunct<_CharT>& __np = use_facet<numpunct<_CharT> >(__loc);
+      _M_grouping_size = __np.grouping().size();
+      char* __grouping = new char[_M_grouping_size];
+      __np.grouping().copy(__grouping, _M_grouping_size);
+      _M_grouping = __grouping;
+      _M_use_grouping = (_M_grouping_size
+    && static_cast<signed char>(__np.grouping()[0]) > 0);
+      _M_truename_size = __np.truename().size();
+      _CharT* __truename = new _CharT[_M_truename_size];
+      __np.truename().copy(__truename, _M_truename_size);
+      _M_truename = __truename;
+      _M_falsename_size = __np.falsename().size();
+      _CharT* __falsename = new _CharT[_M_falsename_size];
+      __np.falsename().copy(__falsename, _M_falsename_size);
+      _M_falsename = __falsename;
+      _M_decimal_point = __np.decimal_point();
+      _M_thousands_sep = __np.thousands_sep();
+      const ctype<_CharT>& __ct = use_facet<ctype<_CharT> >(__loc);
+      __ct.widen(__num_base::_S_atoms_out,
+   __num_base::_S_atoms_out + __num_base::_S_oend, _M_atoms_out);
+      __ct.widen(__num_base::_S_atoms_in,
+   __num_base::_S_atoms_in + __num_base::_S_iend, _M_atoms_in);
+    }
+  bool
+  __verify_grouping(const char* __grouping, size_t __grouping_size,
+      const string& __grouping_tmp);
+
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    _M_extract_float(_InIter __beg, _InIter __end, ios_base& __io,
+       ios_base::iostate& __err, string& __xtrc) const
+    {
+      typedef char_traits<_CharT> __traits_type;
+      typedef __numpunct_cache<_CharT> __cache_type;
+      __use_cache<__cache_type> __uc;
+      const locale& __loc = __io._M_getloc();
+      const __cache_type* __lc = __uc(__loc);
+      const _CharT* __lit = __lc->_M_atoms_in;
+      char_type __c = char_type();
+      bool __testeof = __beg == __end;
+      if (!__testeof)
+ {
+   __c = *__beg;
+   const bool __plus = __c == __lit[__num_base::_S_iplus];
+   if ((__plus || __c == __lit[__num_base::_S_iminus])
+       && !(__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
+       && !(__c == __lc->_M_decimal_point))
+     {
+       __xtrc += __plus ? '+' : '-';
+       if (++__beg != __end)
+  __c = *__beg;
+       else
+  __testeof = true;
+     }
+ }
+      bool __found_mantissa = false;
+      int __sep_pos = 0;
+      while (!__testeof)
+ {
+   if ((__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
+       || __c == __lc->_M_decimal_point)
+     break;
+   else if (__c == __lit[__num_base::_S_izero])
+     {
+       if (!__found_mantissa)
+  {
+    __xtrc += '0';
+    __found_mantissa = true;
+  }
+       ++__sep_pos;
+       if (++__beg != __end)
+  __c = *__beg;
+       else
+  __testeof = true;
+     }
+   else
+     break;
+ }
+      bool __found_dec = false;
+      bool __found_sci = false;
+      string __found_grouping;
+      if (__lc->_M_use_grouping)
+ __found_grouping.reserve(32);
+      const char_type* __lit_zero = __lit + __num_base::_S_izero;
+      if (!__lc->_M_allocated)
+ while (!__testeof)
+   {
+     const int __digit = _M_find(__lit_zero, 10, __c);
+     if (__digit != -1)
+       {
+  __xtrc += '0' + __digit;
+  __found_mantissa = true;
+       }
+     else if (__c == __lc->_M_decimal_point
+       && !__found_dec && !__found_sci)
+       {
+  __xtrc += '.';
+  __found_dec = true;
+       }
+     else if ((__c == __lit[__num_base::_S_ie]
+        || __c == __lit[__num_base::_S_iE])
+       && !__found_sci && __found_mantissa)
+       {
+  __xtrc += 'e';
+  __found_sci = true;
+  if (++__beg != __end)
+    {
+      __c = *__beg;
+      const bool __plus = __c == __lit[__num_base::_S_iplus];
+      if (__plus || __c == __lit[__num_base::_S_iminus])
+        __xtrc += __plus ? '+' : '-';
+      else
+        continue;
+    }
+  else
+    {
+      __testeof = true;
+      break;
+    }
+       }
+     else
+       break;
+     if (++__beg != __end)
+       __c = *__beg;
+     else
+       __testeof = true;
+   }
+      else
+ while (!__testeof)
+   {
+     if (__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
+       {
+  if (!__found_dec && !__found_sci)
+    {
+      if (__sep_pos)
+        {
+   __found_grouping += static_cast<char>(__sep_pos);
+   __sep_pos = 0;
+        }
+      else
+        {
+   __xtrc.clear();
+   break;
+        }
+    }
+  else
+    break;
+       }
+     else if (__c == __lc->_M_decimal_point)
+       {
+  if (!__found_dec && !__found_sci)
+    {
+      if (__found_grouping.size())
+        __found_grouping += static_cast<char>(__sep_pos);
+      __xtrc += '.';
+      __found_dec = true;
+    }
+  else
+    break;
+       }
+     else
+       {
+  const char_type* __q =
+    __traits_type::find(__lit_zero, 10, __c);
+  if (__q)
+    {
+      __xtrc += '0' + (__q - __lit_zero);
+      __found_mantissa = true;
+      ++__sep_pos;
+    }
+  else if ((__c == __lit[__num_base::_S_ie]
+     || __c == __lit[__num_base::_S_iE])
+    && !__found_sci && __found_mantissa)
+    {
+      if (__found_grouping.size() && !__found_dec)
+        __found_grouping += static_cast<char>(__sep_pos);
+      __xtrc += 'e';
+      __found_sci = true;
+      if (++__beg != __end)
+        {
+   __c = *__beg;
+   const bool __plus = __c == __lit[__num_base::_S_iplus];
+   if ((__plus || __c == __lit[__num_base::_S_iminus])
+       && !(__lc->_M_use_grouping
+     && __c == __lc->_M_thousands_sep)
+       && !(__c == __lc->_M_decimal_point))
+        __xtrc += __plus ? '+' : '-';
+   else
+     continue;
+        }
+      else
+        {
+   __testeof = true;
+   break;
+        }
+    }
+  else
+    break;
+       }
+     if (++__beg != __end)
+       __c = *__beg;
+     else
+       __testeof = true;
+   }
+      if (__found_grouping.size())
+        {
+   if (!__found_dec && !__found_sci)
+     __found_grouping += static_cast<char>(__sep_pos);
+          if (!std::__verify_grouping(__lc->_M_grouping,
+          __lc->_M_grouping_size,
+          __found_grouping))
+     __err |= ios_base::failbit;
+        }
+      if (__testeof)
+        __err |= ios_base::eofbit;
+      return __beg;
+    }
+  template<typename _CharT, typename _InIter>
+    template<typename _ValueT>
+      _InIter
+      num_get<_CharT, _InIter>::
+      _M_extract_int(_InIter __beg, _InIter __end, ios_base& __io,
+       ios_base::iostate& __err, _ValueT& __v) const
+      {
+        typedef char_traits<_CharT> __traits_type;
+ using __gnu_cxx::__add_unsigned;
+ typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
+ typedef __numpunct_cache<_CharT> __cache_type;
+ __use_cache<__cache_type> __uc;
+ const locale& __loc = __io._M_getloc();
+ const __cache_type* __lc = __uc(__loc);
+ const _CharT* __lit = __lc->_M_atoms_in;
+ char_type __c = char_type();
+ const ios_base::fmtflags __basefield = __io.flags()
+                                        & ios_base::basefield;
+ const bool __oct = __basefield == ios_base::oct;
+ int __base = __oct ? 8 : (__basefield == ios_base::hex ? 16 : 10);
+ bool __testeof = __beg == __end;
+ bool __negative = false;
+ if (!__testeof)
+   {
+     __c = *__beg;
+     if (__gnu_cxx::__numeric_traits<_ValueT>::__is_signed)
+       __negative = __c == __lit[__num_base::_S_iminus];
+     if ((__negative || __c == __lit[__num_base::_S_iplus])
+  && !(__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
+  && !(__c == __lc->_M_decimal_point))
+       {
+  if (++__beg != __end)
+    __c = *__beg;
+  else
+    __testeof = true;
+       }
+   }
+ bool __found_zero = false;
+ int __sep_pos = 0;
+ while (!__testeof)
+   {
+     if ((__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
+  || __c == __lc->_M_decimal_point)
+       break;
+     else if (__c == __lit[__num_base::_S_izero]
+       && (!__found_zero || __base == 10))
+       {
+  __found_zero = true;
+  ++__sep_pos;
+  if (__basefield == 0)
+    __base = 8;
+  if (__base == 8)
+    __sep_pos = 0;
+       }
+     else if (__found_zero
+       && (__c == __lit[__num_base::_S_ix]
+    || __c == __lit[__num_base::_S_iX]))
+       {
+  if (__basefield == 0)
+    __base = 16;
+  if (__base == 16)
+    {
+      __found_zero = false;
+      __sep_pos = 0;
+    }
+  else
+    break;
+       }
+     else
+       break;
+     if (++__beg != __end)
+       {
+  __c = *__beg;
+  if (!__found_zero)
+    break;
+       }
+     else
+       __testeof = true;
+   }
+ const size_t __len = (__base == 16 ? __num_base::_S_iend
+         - __num_base::_S_izero : __base);
+ string __found_grouping;
+ if (__lc->_M_use_grouping)
+   __found_grouping.reserve(32);
+ bool __testfail = false;
+ const __unsigned_type __max = __negative
+   ? -__gnu_cxx::__numeric_traits<_ValueT>::__min
+   : __gnu_cxx::__numeric_traits<_ValueT>::__max;
+ const __unsigned_type __smax = __max / __base;
+ __unsigned_type __result = 0;
+ int __digit = 0;
+ const char_type* __lit_zero = __lit + __num_base::_S_izero;
+ if (!__lc->_M_allocated)
+   while (!__testeof)
+     {
+       __digit = _M_find(__lit_zero, __len, __c);
+       if (__digit == -1)
+  break;
+       if (__result > __smax)
+  __testfail = true;
+       else
+  {
+    __result *= __base;
+    __testfail |= __result > __max - __digit;
+    __result += __digit;
+    ++__sep_pos;
+  }
+       if (++__beg != __end)
+  __c = *__beg;
+       else
+  __testeof = true;
+     }
+ else
+   while (!__testeof)
+     {
+       if (__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
+  {
+    if (__sep_pos)
+      {
+        __found_grouping += static_cast<char>(__sep_pos);
+        __sep_pos = 0;
+      }
+    else
+      {
+        __testfail = true;
+        break;
+      }
+  }
+       else if (__c == __lc->_M_decimal_point)
+  break;
+       else
+  {
+    const char_type* __q =
+      __traits_type::find(__lit_zero, __len, __c);
+    if (!__q)
+      break;
+    __digit = __q - __lit_zero;
+    if (__digit > 15)
+      __digit -= 6;
+    if (__result > __smax)
+      __testfail = true;
+    else
+      {
+        __result *= __base;
+        __testfail |= __result > __max - __digit;
+        __result += __digit;
+        ++__sep_pos;
+      }
+  }
+       if (++__beg != __end)
+  __c = *__beg;
+       else
+  __testeof = true;
+     }
+ if (__found_grouping.size())
+   {
+     __found_grouping += static_cast<char>(__sep_pos);
+     if (!std::__verify_grouping(__lc->_M_grouping,
+     __lc->_M_grouping_size,
+     __found_grouping))
+       __err |= ios_base::failbit;
+   }
+ if (!__testfail && (__sep_pos || __found_zero
+       || __found_grouping.size()))
+   __v = __negative ? -__result : __result;
+ else
+   __err |= ios_base::failbit;
+ if (__testeof)
+   __err |= ios_base::eofbit;
+ return __beg;
+      }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, bool& __v) const
+    {
+      if (!(__io.flags() & ios_base::boolalpha))
+        {
+   long __l = -1;
+          __beg = _M_extract_int(__beg, __end, __io, __err, __l);
+   if (__l == 0 || __l == 1)
+     __v = bool(__l);
+   else
+            __err |= ios_base::failbit;
+        }
+      else
+        {
+   typedef __numpunct_cache<_CharT> __cache_type;
+   __use_cache<__cache_type> __uc;
+   const locale& __loc = __io._M_getloc();
+   const __cache_type* __lc = __uc(__loc);
+   bool __testf = true;
+   bool __testt = true;
+   size_t __n;
+   bool __testeof = __beg == __end;
+          for (__n = 0; !__testeof; ++__n)
+            {
+       const char_type __c = *__beg;
+       if (__testf)
+         {
+    if (__n < __lc->_M_falsename_size)
+      __testf = __c == __lc->_M_falsename[__n];
+    else
+      break;
+  }
+       if (__testt)
+         {
+    if (__n < __lc->_M_truename_size)
+      __testt = __c == __lc->_M_truename[__n];
+    else
+      break;
+  }
+       if (!__testf && !__testt)
+  break;
+       if (++__beg == __end)
+  __testeof = true;
+            }
+   if (__testf && __n == __lc->_M_falsename_size)
+     __v = false;
+   else if (__testt && __n == __lc->_M_truename_size)
+     __v = true;
+   else
+     __err |= ios_base::failbit;
+          if (__testeof)
+            __err |= ios_base::eofbit;
+        }
+      return __beg;
+    }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, long& __v) const
+    { return _M_extract_int(__beg, __end, __io, __err, __v); }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, unsigned short& __v) const
+    { return _M_extract_int(__beg, __end, __io, __err, __v); }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, unsigned int& __v) const
+    { return _M_extract_int(__beg, __end, __io, __err, __v); }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, unsigned long& __v) const
+    { return _M_extract_int(__beg, __end, __io, __err, __v); }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, long long& __v) const
+    { return _M_extract_int(__beg, __end, __io, __err, __v); }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, unsigned long long& __v) const
+    { return _M_extract_int(__beg, __end, __io, __err, __v); }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+    ios_base::iostate& __err, float& __v) const
+    {
+      string __xtrc;
+      __xtrc.reserve(32);
+      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
+      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
+      return __beg;
+    }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, double& __v) const
+    {
+      string __xtrc;
+      __xtrc.reserve(32);
+      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
+      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
+      return __beg;
+    }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, long double& __v) const
+    {
+      string __xtrc;
+      __xtrc.reserve(32);
+      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
+      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
+      return __beg;
+    }
+  template<typename _CharT, typename _InIter>
+    _InIter
+    num_get<_CharT, _InIter>::
+    do_get(iter_type __beg, iter_type __end, ios_base& __io,
+           ios_base::iostate& __err, void*& __v) const
+    {
+      typedef ios_base::fmtflags fmtflags;
+      const fmtflags __fmt = __io.flags();
+      __io.flags((__fmt & ~ios_base::basefield) | ios_base::hex);
+      typedef __gnu_cxx::__conditional_type<(sizeof(void*)
+          <= sizeof(unsigned long)),
+ unsigned long, unsigned long long>::__type _UIntPtrType;
+      _UIntPtrType __ul;
+      __beg = _M_extract_int(__beg, __end, __io, __err, __ul);
+      __io.flags(__fmt);
+      if (!(__err & ios_base::failbit))
+ __v = reinterpret_cast<void*>(__ul);
+      return __beg;
+    }
+  template<typename _CharT, typename _OutIter>
+    void
+    num_put<_CharT, _OutIter>::
+    _M_pad(_CharT __fill, streamsize __w, ios_base& __io,
+    _CharT* __new, const _CharT* __cs, int& __len) const
+    {
+      __pad<_CharT, char_traits<_CharT> >::_S_pad(__io, __fill, __new,
+        __cs, __w, __len);
+      __len = static_cast<int>(__w);
+    }
+
+  template<typename _CharT, typename _ValueT>
+    int
+    __int_to_char(_CharT* __bufend, _ValueT __v, const _CharT* __lit,
+    ios_base::fmtflags __flags, bool __dec)
+    {
+      _CharT* __buf = __bufend;
+      if (__builtin_expect(__dec, true))
+ {
+   do
+     {
+       *--__buf = __lit[(__v % 10) + __num_base::_S_odigits];
+       __v /= 10;
+     }
+   while (__v != 0);
+ }
+      else if ((__flags & ios_base::basefield) == ios_base::oct)
+ {
+   do
+     {
+       *--__buf = __lit[(__v & 0x7) + __num_base::_S_odigits];
+       __v >>= 3;
+     }
+   while (__v != 0);
+ }
+      else
+ {
+   const bool __uppercase = __flags & ios_base::uppercase;
+   const int __case_offset = __uppercase ? __num_base::_S_oudigits
+                                         : __num_base::_S_odigits;
+   do
+     {
+       *--__buf = __lit[(__v & 0xf) + __case_offset];
+       __v >>= 4;
+     }
+   while (__v != 0);
+ }
+      return __bufend - __buf;
+    }
+
+  template<typename _CharT, typename _OutIter>
+    void
+    num_put<_CharT, _OutIter>::
+    _M_group_int(const char* __grouping, size_t __grouping_size, _CharT __sep,
+   ios_base&, _CharT* __new, _CharT* __cs, int& __len) const
+    {
+      _CharT* __p = std::__add_grouping(__new, __sep, __grouping,
+     __grouping_size, __cs, __cs + __len);
+      __len = __p - __new;
+    }
+  template<typename _CharT, typename _OutIter>
+    template<typename _ValueT>
+      _OutIter
+      num_put<_CharT, _OutIter>::
+      _M_insert_int(_OutIter __s, ios_base& __io, _CharT __fill,
+      _ValueT __v) const
+      {
+ using __gnu_cxx::__add_unsigned;
+ typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
+ typedef __numpunct_cache<_CharT> __cache_type;
+ __use_cache<__cache_type> __uc;
+ const locale& __loc = __io._M_getloc();
+ const __cache_type* __lc = __uc(__loc);
+ const _CharT* __lit = __lc->_M_atoms_out;
+ const ios_base::fmtflags __flags = __io.flags();
+ const int __ilen = 5 * sizeof(_ValueT);
+ _CharT* __cs = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+            * __ilen));
+ const ios_base::fmtflags __basefield = __flags & ios_base::basefield;
+ const bool __dec = (__basefield != ios_base::oct
+       && __basefield != ios_base::hex);
+ const __unsigned_type __u = ((__v > 0 || !__dec)
+         ? __unsigned_type(__v)
+         : -__unsigned_type(__v));
+  int __len = __int_to_char(__cs + __ilen, __u, __lit, __flags, __dec);
+ __cs += __ilen - __len;
+ if (__lc->_M_use_grouping)
+   {
+     _CharT* __cs2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+          * (__len + 1)
+          * 2));
+     _M_group_int(__lc->_M_grouping, __lc->_M_grouping_size,
+    __lc->_M_thousands_sep, __io, __cs2 + 2, __cs, __len);
+     __cs = __cs2 + 2;
+   }
+ if (__builtin_expect(__dec, true))
+   {
+     if (__v >= 0)
+       {
+  if (bool(__flags & ios_base::showpos)
+      && __gnu_cxx::__numeric_traits<_ValueT>::__is_signed)
+    *--__cs = __lit[__num_base::_S_oplus], ++__len;
+       }
+     else
+       *--__cs = __lit[__num_base::_S_ominus], ++__len;
+   }
+ else if (bool(__flags & ios_base::showbase) && __v)
+   {
+     if (__basefield == ios_base::oct)
+       *--__cs = __lit[__num_base::_S_odigits], ++__len;
+     else
+       {
+  const bool __uppercase = __flags & ios_base::uppercase;
+  *--__cs = __lit[__num_base::_S_ox + __uppercase];
+  *--__cs = __lit[__num_base::_S_odigits];
+  __len += 2;
+       }
+   }
+ const streamsize __w = __io.width();
+ if (__w > static_cast<streamsize>(__len))
+   {
+     _CharT* __cs3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+          * __w));
+     _M_pad(__fill, __w, __io, __cs3, __cs, __len);
+     __cs = __cs3;
+   }
+ __io.width(0);
+ return std::__write(__s, __cs, __len);
+      }
+  template<typename _CharT, typename _OutIter>
+    void
+    num_put<_CharT, _OutIter>::
+    _M_group_float(const char* __grouping, size_t __grouping_size,
+     _CharT __sep, const _CharT* __p, _CharT* __new,
+     _CharT* __cs, int& __len) const
+    {
+      const int __declen = __p ? __p - __cs : __len;
+      _CharT* __p2 = std::__add_grouping(__new, __sep, __grouping,
+      __grouping_size,
+      __cs, __cs + __declen);
+      int __newlen = __p2 - __new;
+      if (__p)
+ {
+   char_traits<_CharT>::copy(__p2, __p, __len - __declen);
+   __newlen += __len - __declen;
+ }
+      __len = __newlen;
+    }
+  template<typename _CharT, typename _OutIter>
+    template<typename _ValueT>
+      _OutIter
+      num_put<_CharT, _OutIter>::
+      _M_insert_float(_OutIter __s, ios_base& __io, _CharT __fill, char __mod,
+         _ValueT __v) const
+      {
+ typedef __numpunct_cache<_CharT> __cache_type;
+ __use_cache<__cache_type> __uc;
+ const locale& __loc = __io._M_getloc();
+ const __cache_type* __lc = __uc(__loc);
+ const streamsize __prec = __io.precision() < 0 ? 6 : __io.precision();
+ const int __max_digits =
+   __gnu_cxx::__numeric_traits<_ValueT>::__digits10;
+ int __len;
+ char __fbuf[16];
+ __num_base::_S_format_float(__io, __fbuf, __mod);
+ const bool __fixed = __io.flags() & ios_base::fixed;
+ const int __max_exp =
+   __gnu_cxx::__numeric_traits<_ValueT>::__max_exponent10;
+ const int __cs_size = __fixed ? __max_exp + __prec + 4
+                               : __max_digits * 2 + __prec;
+ char* __cs = static_cast<char*>(__builtin_alloca(__cs_size));
+ __len = std::__convert_from_v(_S_get_c_locale(), __cs, 0, __fbuf,
+          __prec, __v);
+ const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);
+ _CharT* __ws = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+            * __len));
+ __ctype.widen(__cs, __cs + __len, __ws);
+ _CharT* __wp = 0;
+ const char* __p = char_traits<char>::find(__cs, __len, '.');
+ if (__p)
+   {
+     __wp = __ws + (__p - __cs);
+     *__wp = __lc->_M_decimal_point;
+   }
+ if (__lc->_M_use_grouping
+     && (__wp || __len < 3 || (__cs[1] <= '9' && __cs[2] <= '9'
+          && __cs[1] >= '0' && __cs[2] >= '0')))
+   {
+     _CharT* __ws2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+          * __len * 2));
+     streamsize __off = 0;
+     if (__cs[0] == '-' || __cs[0] == '+')
+       {
+  __off = 1;
+  __ws2[0] = __ws[0];
+  __len -= 1;
+       }
+     _M_group_float(__lc->_M_grouping, __lc->_M_grouping_size,
+      __lc->_M_thousands_sep, __wp, __ws2 + __off,
+      __ws + __off, __len);
+     __len += __off;
+     __ws = __ws2;
+   }
+ const streamsize __w = __io.width();
+ if (__w > static_cast<streamsize>(__len))
+   {
+     _CharT* __ws3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+          * __w));
+     _M_pad(__fill, __w, __io, __ws3, __ws, __len);
+     __ws = __ws3;
+   }
+ __io.width(0);
+ return std::__write(__s, __ws, __len);
+      }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const
+    {
+      const ios_base::fmtflags __flags = __io.flags();
+      if ((__flags & ios_base::boolalpha) == 0)
+        {
+          const long __l = __v;
+          __s = _M_insert_int(__s, __io, __fill, __l);
+        }
+      else
+        {
+   typedef __numpunct_cache<_CharT> __cache_type;
+   __use_cache<__cache_type> __uc;
+   const locale& __loc = __io._M_getloc();
+   const __cache_type* __lc = __uc(__loc);
+   const _CharT* __name = __v ? __lc->_M_truename
+                              : __lc->_M_falsename;
+   int __len = __v ? __lc->_M_truename_size
+                   : __lc->_M_falsename_size;
+   const streamsize __w = __io.width();
+   if (__w > static_cast<streamsize>(__len))
+     {
+       _CharT* __cs
+  = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
+       * __w));
+       _M_pad(__fill, __w, __io, __cs, __name, __len);
+       __name = __cs;
+     }
+   __io.width(0);
+   __s = std::__write(__s, __name, __len);
+ }
+      return __s;
+    }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill, long __v) const
+    { return _M_insert_int(__s, __io, __fill, __v); }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill,
+           unsigned long __v) const
+    { return _M_insert_int(__s, __io, __fill, __v); }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill, long long __v) const
+    { return _M_insert_int(__s, __io, __fill, __v); }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill,
+           unsigned long long __v) const
+    { return _M_insert_int(__s, __io, __fill, __v); }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill, double __v) const
+    { return _M_insert_float(__s, __io, __fill, char(), __v); }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill,
+    long double __v) const
+    { return _M_insert_float(__s, __io, __fill, 'L', __v); }
+  template<typename _CharT, typename _OutIter>
+    _OutIter
+    num_put<_CharT, _OutIter>::
+    do_put(iter_type __s, ios_base& __io, char_type __fill,
+           const void* __v) const
+    {
+      const ios_base::fmtflags __flags = __io.flags();
+      const ios_base::fmtflags __fmt = ~(ios_base::basefield
+      | ios_base::uppercase
+      | ios_base::internal);
+      __io.flags((__flags & __fmt) | (ios_base::hex | ios_base::showbase));
+      typedef __gnu_cxx::__conditional_type<(sizeof(const void*)
+          <= sizeof(unsigned long)),
+ unsigned long, unsigned long long>::__type _UIntPtrType;
+      __s = _M_insert_int(__s, __io, __fill,
+     reinterpret_cast<_UIntPtrType>(__v));
+      __io.flags(__flags);
+      return __s;
+    }
+
+  template<typename _CharT, typename _Traits>
+    void
+    __pad<_CharT, _Traits>::_S_pad(ios_base& __io, _CharT __fill,
+       _CharT* __news, const _CharT* __olds,
+       const streamsize __newlen,
+       const streamsize __oldlen)
+    {
+      const size_t __plen = static_cast<size_t>(__newlen - __oldlen);
+      const ios_base::fmtflags __adjust = __io.flags() & ios_base::adjustfield;
+      if (__adjust == ios_base::left)
+ {
+   _Traits::copy(__news, __olds, __oldlen);
+   _Traits::assign(__news + __oldlen, __plen, __fill);
+   return;
+ }
+      size_t __mod = 0;
+      if (__adjust == ios_base::internal)
+ {
+          const locale& __loc = __io._M_getloc();
+   const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);
+   if (__ctype.widen('-') == __olds[0]
+       || __ctype.widen('+') == __olds[0])
+     {
+       __news[0] = __olds[0];
+       __mod = 1;
+       ++__news;
+     }
+   else if (__ctype.widen('0') == __olds[0]
+     && __oldlen > 1
+     && (__ctype.widen('x') == __olds[1]
+         || __ctype.widen('X') == __olds[1]))
+     {
+       __news[0] = __olds[0];
+       __news[1] = __olds[1];
+       __mod = 2;
+       __news += 2;
+     }
+ }
+      _Traits::assign(__news, __plen, __fill);
+      _Traits::copy(__news + __plen, __olds + __mod, __oldlen - __mod);
+    }
+  template<typename _CharT>
+    _CharT*
+    __add_grouping(_CharT* __s, _CharT __sep,
+     const char* __gbeg, size_t __gsize,
+     const _CharT* __first, const _CharT* __last)
+    {
+      size_t __idx = 0;
+      size_t __ctr = 0;
+      while (__last - __first > __gbeg[__idx]
+      && static_cast<signed char>(__gbeg[__idx]) > 0)
+ {
+   __last -= __gbeg[__idx];
+   __idx < __gsize - 1 ? ++__idx : ++__ctr;
+ }
+      while (__first != __last)
+ *__s++ = *__first++;
+      while (__ctr--)
+ {
+   *__s++ = __sep;
+   for (char __i = __gbeg[__idx]; __i > 0; --__i)
+     *__s++ = *__first++;
+ }
+      while (__idx--)
+ {
+   *__s++ = __sep;
+   for (char __i = __gbeg[__idx]; __i > 0; --__i)
+     *__s++ = *__first++;
+ }
+      return __s;
+    }
+  extern template class numpunct<char>;
+  extern template class numpunct_byname<char>;
+  extern template class num_get<char>;
+  extern template class num_put<char>;
+  extern template class ctype_byname<char>;
+  extern template
+    const numpunct<char>&
+    use_facet<numpunct<char> >(const locale&);
+  extern template
+    const num_put<char>&
+    use_facet<num_put<char> >(const locale&);
+  extern template
+    const num_get<char>&
+    use_facet<num_get<char> >(const locale&);
+  extern template
+    bool
+    has_facet<ctype<char> >(const locale&);
+  extern template
+    bool
+    has_facet<numpunct<char> >(const locale&);
+  extern template
+    bool
+    has_facet<num_put<char> >(const locale&);
+  extern template
+    bool
+    has_facet<num_get<char> >(const locale&);
+  extern template class numpunct<wchar_t>;
+  extern template class numpunct_byname<wchar_t>;
+  extern template class num_get<wchar_t>;
+  extern template class num_put<wchar_t>;
+  extern template class ctype_byname<wchar_t>;
+  extern template
+    const numpunct<wchar_t>&
+    use_facet<numpunct<wchar_t> >(const locale&);
+  extern template
+    const num_put<wchar_t>&
+    use_facet<num_put<wchar_t> >(const locale&);
+  extern template
+    const num_get<wchar_t>&
+    use_facet<num_get<wchar_t> >(const locale&);
+ extern template
+    bool
+    has_facet<ctype<wchar_t> >(const locale&);
+  extern template
+    bool
+    has_facet<numpunct<wchar_t> >(const locale&);
+  extern template
+    bool
+    has_facet<num_put<wchar_t> >(const locale&);
+  extern template
+    bool
+    has_facet<num_get<wchar_t> >(const locale&);
+}
+namespace std {
+  template<typename _Facet>
+    inline const _Facet&
+    __check_facet(const _Facet* __f)
+    {
+      if (!__f)
+ __throw_bad_cast();
+      return *__f;
+    }
+  template<typename _CharT, typename _Traits>
+    class basic_ios : public ios_base
+    {
+    public:
+      typedef _CharT char_type;
+      typedef typename _Traits::int_type int_type;
+      typedef typename _Traits::pos_type pos_type;
+      typedef typename _Traits::off_type off_type;
+      typedef _Traits traits_type;
+      typedef ctype<_CharT> __ctype_type;
+      typedef num_put<_CharT, ostreambuf_iterator<_CharT, _Traits> >
+           __num_put_type;
+      typedef num_get<_CharT, istreambuf_iterator<_CharT, _Traits> >
+           __num_get_type;
+    protected:
+      basic_ostream<_CharT, _Traits>* _M_tie;
+      mutable char_type _M_fill;
+      mutable bool _M_fill_init;
+      basic_streambuf<_CharT, _Traits>* _M_streambuf;
+      const __ctype_type* _M_ctype;
+      const __num_put_type* _M_num_put;
+      const __num_get_type* _M_num_get;
+    public:
+      operator void*() const
+      { return this->fail() ? 0 : const_cast<basic_ios*>(this); }
+      bool
+      operator!() const
+      { return this->fail(); }
+      iostate
+      rdstate() const
+      { return _M_streambuf_state; }
+      void
+      clear(iostate __state = goodbit);
+      void
+      setstate(iostate __state)
+      { this->clear(this->rdstate() | __state); }
+      void
+      _M_setstate(iostate __state)
+      {
+ _M_streambuf_state |= __state;
+ if (this->exceptions() & __state)
+   throw;
+      }
+      bool
+      good() const
+      { return this->rdstate() == 0; }
+      bool
+      eof() const
+      { return (this->rdstate() & eofbit) != 0; }
+      bool
+      fail() const
+      { return (this->rdstate() & (badbit | failbit)) != 0; }
+      bool
+      bad() const
+      { return (this->rdstate() & badbit) != 0; }
+      iostate
+      exceptions() const
+      { return _M_exception; }
+      void
+      exceptions(iostate __except)
+      {
+        _M_exception = __except;
+        this->clear(_M_streambuf_state);
+      }
+      explicit
+      basic_ios(basic_streambuf<_CharT, _Traits>* __sb)
+      : ios_base(), _M_tie(0), _M_fill(), _M_fill_init(false), _M_streambuf(0),
+ _M_ctype(0), _M_num_put(0), _M_num_get(0)
+      { this->init(__sb); }
+      virtual
+      ~basic_ios() { }
+      basic_ostream<_CharT, _Traits>*
+      tie() const
+      { return _M_tie; }
+      basic_ostream<_CharT, _Traits>*
+      tie(basic_ostream<_CharT, _Traits>* __tiestr)
+      {
+        basic_ostream<_CharT, _Traits>* __old = _M_tie;
+        _M_tie = __tiestr;
+        return __old;
+      }
+      basic_streambuf<_CharT, _Traits>*
+      rdbuf() const
+      { return _M_streambuf; }
+      basic_streambuf<_CharT, _Traits>*
+      rdbuf(basic_streambuf<_CharT, _Traits>* __sb);
+      basic_ios&
+      copyfmt(const basic_ios& __rhs);
+      char_type
+      fill() const
+      {
+ if (!_M_fill_init)
+   {
+     _M_fill = this->widen(' ');
+     _M_fill_init = true;
+   }
+ return _M_fill;
+      }
+      char_type
+      fill(char_type __ch)
+      {
+ char_type __old = this->fill();
+ _M_fill = __ch;
+ return __old;
+      }
+      locale
+      imbue(const locale& __loc);
+      char
+      narrow(char_type __c, char __dfault) const
+      { return __check_facet(_M_ctype).narrow(__c, __dfault); }
+      char_type
+      widen(char __c) const
+      { return __check_facet(_M_ctype).widen(__c); }
+    protected:
+      basic_ios()
+      : ios_base(), _M_tie(0), _M_fill(char_type()), _M_fill_init(false),
+ _M_streambuf(0), _M_ctype(0), _M_num_put(0), _M_num_get(0)
+      { }
+      void
+      init(basic_streambuf<_CharT, _Traits>* __sb);
+      void
+      _M_cache_locale(const locale& __loc);
+    };
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    void
+    basic_ios<_CharT, _Traits>::clear(iostate __state)
+    {
+      if (this->rdbuf())
+ _M_streambuf_state = __state;
+      else
+   _M_streambuf_state = __state | badbit;
+      if (this->exceptions() & this->rdstate())
+ __throw_ios_failure(("basic_ios::clear"));
+    }
+  template<typename _CharT, typename _Traits>
+    basic_streambuf<_CharT, _Traits>*
+    basic_ios<_CharT, _Traits>::rdbuf(basic_streambuf<_CharT, _Traits>* __sb)
+    {
+      basic_streambuf<_CharT, _Traits>* __old = _M_streambuf;
+      _M_streambuf = __sb;
+      this->clear();
+      return __old;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ios<_CharT, _Traits>&
+    basic_ios<_CharT, _Traits>::copyfmt(const basic_ios& __rhs)
+    {
+      if (this != &__rhs)
+ {
+   _Words* __words = (__rhs._M_word_size <= _S_local_word_size) ?
+                      _M_local_word : new _Words[__rhs._M_word_size];
+   _Callback_list* __cb = __rhs._M_callbacks;
+   if (__cb)
+     __cb->_M_add_reference();
+   _M_call_callbacks(erase_event);
+   if (_M_word != _M_local_word)
+     {
+       delete [] _M_word;
+       _M_word = 0;
+     }
+   _M_dispose_callbacks();
+   _M_callbacks = __cb;
+   for (int __i = 0; __i < __rhs._M_word_size; ++__i)
+     __words[__i] = __rhs._M_word[__i];
+   _M_word = __words;
+   _M_word_size = __rhs._M_word_size;
+   this->flags(__rhs.flags());
+   this->width(__rhs.width());
+   this->precision(__rhs.precision());
+   this->tie(__rhs.tie());
+   this->fill(__rhs.fill());
+   _M_ios_locale = __rhs.getloc();
+   _M_cache_locale(_M_ios_locale);
+   _M_call_callbacks(copyfmt_event);
+   this->exceptions(__rhs.exceptions());
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    locale
+    basic_ios<_CharT, _Traits>::imbue(const locale& __loc)
+    {
+      locale __old(this->getloc());
+      ios_base::imbue(__loc);
+      _M_cache_locale(__loc);
+      if (this->rdbuf() != 0)
+ this->rdbuf()->pubimbue(__loc);
+      return __old;
+    }
+  template<typename _CharT, typename _Traits>
+    void
+    basic_ios<_CharT, _Traits>::init(basic_streambuf<_CharT, _Traits>* __sb)
+    {
+      ios_base::_M_init();
+      _M_cache_locale(_M_ios_locale);
+      _M_fill = _CharT();
+      _M_fill_init = false;
+      _M_tie = 0;
+      _M_exception = goodbit;
+      _M_streambuf = __sb;
+      _M_streambuf_state = __sb ? goodbit : badbit;
+    }
+  template<typename _CharT, typename _Traits>
+    void
+    basic_ios<_CharT, _Traits>::_M_cache_locale(const locale& __loc)
+    {
+      if (__builtin_expect(has_facet<__ctype_type>(__loc), true))
+ _M_ctype = &use_facet<__ctype_type>(__loc);
+      else
+ _M_ctype = 0;
+      if (__builtin_expect(has_facet<__num_put_type>(__loc), true))
+ _M_num_put = &use_facet<__num_put_type>(__loc);
+      else
+ _M_num_put = 0;
+      if (__builtin_expect(has_facet<__num_get_type>(__loc), true))
+ _M_num_get = &use_facet<__num_get_type>(__loc);
+      else
+ _M_num_get = 0;
+    }
+  extern template class basic_ios<char>;
+  extern template class basic_ios<wchar_t>;
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    class basic_ostream : virtual public basic_ios<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef typename _Traits::int_type int_type;
+      typedef typename _Traits::pos_type pos_type;
+      typedef typename _Traits::off_type off_type;
+      typedef _Traits traits_type;
+      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
+      typedef basic_ios<_CharT, _Traits> __ios_type;
+      typedef basic_ostream<_CharT, _Traits> __ostream_type;
+      typedef num_put<_CharT, ostreambuf_iterator<_CharT, _Traits> >
+             __num_put_type;
+      typedef ctype<_CharT> __ctype_type;
+      explicit
+      basic_ostream(__streambuf_type* __sb)
+      { this->init(__sb); }
+      virtual
+      ~basic_ostream() { }
+      class sentry;
+      friend class sentry;
+      __ostream_type&
+      operator<<(__ostream_type& (*__pf)(__ostream_type&))
+      {
+ return __pf(*this);
+      }
+      __ostream_type&
+      operator<<(__ios_type& (*__pf)(__ios_type&))
+      {
+ __pf(*this);
+ return *this;
+      }
+      __ostream_type&
+      operator<<(ios_base& (*__pf) (ios_base&))
+      {
+ __pf(*this);
+ return *this;
+      }
+      __ostream_type&
+      operator<<(long __n)
+      { return _M_insert(__n); }
+      __ostream_type&
+      operator<<(unsigned long __n)
+      { return _M_insert(__n); }
+      __ostream_type&
+      operator<<(bool __n)
+      { return _M_insert(__n); }
+      __ostream_type&
+      operator<<(short __n);
+      __ostream_type&
+      operator<<(unsigned short __n)
+      {
+ return _M_insert(static_cast<unsigned long>(__n));
+      }
+      __ostream_type&
+      operator<<(int __n);
+      __ostream_type&
+      operator<<(unsigned int __n)
+      {
+ return _M_insert(static_cast<unsigned long>(__n));
+      }
+      __ostream_type&
+      operator<<(long long __n)
+      { return _M_insert(__n); }
+      __ostream_type&
+      operator<<(unsigned long long __n)
+      { return _M_insert(__n); }
+      __ostream_type&
+      operator<<(double __f)
+      { return _M_insert(__f); }
+      __ostream_type&
+      operator<<(float __f)
+      {
+ return _M_insert(static_cast<double>(__f));
+      }
+      __ostream_type&
+      operator<<(long double __f)
+      { return _M_insert(__f); }
+      __ostream_type&
+      operator<<(const void* __p)
+      { return _M_insert(__p); }
+      __ostream_type&
+      operator<<(__streambuf_type* __sb);
+      __ostream_type&
+      put(char_type __c);
+      void
+      _M_write(const char_type* __s, streamsize __n)
+      {
+ const streamsize __put = this->rdbuf()->sputn(__s, __n);
+ if (__put != __n)
+   this->setstate(ios_base::badbit);
+      }
+      __ostream_type&
+      write(const char_type* __s, streamsize __n);
+      __ostream_type&
+      flush();
+      pos_type
+      tellp();
+      __ostream_type&
+      seekp(pos_type);
+       __ostream_type&
+      seekp(off_type, ios_base::seekdir);
+    protected:
+      basic_ostream()
+      { this->init(0); }
+      template<typename _ValueT>
+        __ostream_type&
+        _M_insert(_ValueT __v);
+    };
+  template <typename _CharT, typename _Traits>
+    class basic_ostream<_CharT, _Traits>::sentry
+    {
+      bool _M_ok;
+      basic_ostream<_CharT, _Traits>& _M_os;
+    public:
+      explicit
+      sentry(basic_ostream<_CharT, _Traits>& __os);
+      ~sentry()
+      {
+ if (bool(_M_os.flags() & ios_base::unitbuf) && !uncaught_exception())
+   {
+     if (_M_os.rdbuf() && _M_os.rdbuf()->pubsync() == -1)
+       _M_os.setstate(ios_base::badbit);
+   }
+      }
+      operator bool() const
+      { return _M_ok; }
+    };
+  template<typename _CharT, typename _Traits>
+    inline basic_ostream<_CharT, _Traits>&
+    operator<<(basic_ostream<_CharT, _Traits>& __out, _CharT __c)
+    { return __ostream_insert(__out, &__c, 1); }
+  template<typename _CharT, typename _Traits>
+    inline basic_ostream<_CharT, _Traits>&
+    operator<<(basic_ostream<_CharT, _Traits>& __out, char __c)
+    { return (__out << __out.widen(__c)); }
+  template <class _Traits>
+    inline basic_ostream<char, _Traits>&
+    operator<<(basic_ostream<char, _Traits>& __out, char __c)
+    { return __ostream_insert(__out, &__c, 1); }
+  template<class _Traits>
+    inline basic_ostream<char, _Traits>&
+    operator<<(basic_ostream<char, _Traits>& __out, signed char __c)
+    { return (__out << static_cast<char>(__c)); }
+  template<class _Traits>
+    inline basic_ostream<char, _Traits>&
+    operator<<(basic_ostream<char, _Traits>& __out, unsigned char __c)
+    { return (__out << static_cast<char>(__c)); }
+  template<typename _CharT, typename _Traits>
+    inline basic_ostream<_CharT, _Traits>&
+    operator<<(basic_ostream<_CharT, _Traits>& __out, const _CharT* __s)
+    {
+      if (!__s)
+ __out.setstate(ios_base::badbit);
+      else
+ __ostream_insert(__out, __s,
+    static_cast<streamsize>(_Traits::length(__s)));
+      return __out;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits> &
+    operator<<(basic_ostream<_CharT, _Traits>& __out, const char* __s);
+  template<class _Traits>
+    inline basic_ostream<char, _Traits>&
+    operator<<(basic_ostream<char, _Traits>& __out, const char* __s)
+    {
+      if (!__s)
+ __out.setstate(ios_base::badbit);
+      else
+ __ostream_insert(__out, __s,
+    static_cast<streamsize>(_Traits::length(__s)));
+      return __out;
+    }
+  template<class _Traits>
+    inline basic_ostream<char, _Traits>&
+    operator<<(basic_ostream<char, _Traits>& __out, const signed char* __s)
+    { return (__out << reinterpret_cast<const char*>(__s)); }
+  template<class _Traits>
+    inline basic_ostream<char, _Traits> &
+    operator<<(basic_ostream<char, _Traits>& __out, const unsigned char* __s)
+    { return (__out << reinterpret_cast<const char*>(__s)); }
+  template<typename _CharT, typename _Traits>
+    inline basic_ostream<_CharT, _Traits>&
+    endl(basic_ostream<_CharT, _Traits>& __os)
+    { return flush(__os.put(__os.widen('\n'))); }
+  template<typename _CharT, typename _Traits>
+    inline basic_ostream<_CharT, _Traits>&
+    ends(basic_ostream<_CharT, _Traits>& __os)
+    { return __os.put(_CharT()); }
+  template<typename _CharT, typename _Traits>
+    inline basic_ostream<_CharT, _Traits>&
+    flush(basic_ostream<_CharT, _Traits>& __os)
+    { return __os.flush(); }
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>::sentry::
+    sentry(basic_ostream<_CharT, _Traits>& __os)
+    : _M_ok(false), _M_os(__os)
+    {
+      if (__os.tie() && __os.good())
+ __os.tie()->flush();
+      if (__os.good())
+ _M_ok = true;
+      else
+ __os.setstate(ios_base::failbit);
+    }
+  template<typename _CharT, typename _Traits>
+    template<typename _ValueT>
+      basic_ostream<_CharT, _Traits>&
+      basic_ostream<_CharT, _Traits>::
+      _M_insert(_ValueT __v)
+      {
+ sentry __cerb(*this);
+ if (__cerb)
+   {
+     ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+     try
+       {
+  const __num_put_type& __np = __check_facet(this->_M_num_put);
+  if (__np.put(*this, *this, this->fill(), __v).failed())
+    __err |= ios_base::badbit;
+       }
+     catch(__cxxabiv1::__forced_unwind&)
+       {
+  this->_M_setstate(ios_base::badbit);
+  throw;
+       }
+     catch(...)
+       { this->_M_setstate(ios_base::badbit); }
+     if (__err)
+       this->setstate(__err);
+   }
+ return *this;
+      }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    operator<<(short __n)
+    {
+      const ios_base::fmtflags __fmt = this->flags() & ios_base::basefield;
+      if (__fmt == ios_base::oct || __fmt == ios_base::hex)
+ return _M_insert(static_cast<long>(static_cast<unsigned short>(__n)));
+      else
+ return _M_insert(static_cast<long>(__n));
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    operator<<(int __n)
+    {
+      const ios_base::fmtflags __fmt = this->flags() & ios_base::basefield;
+      if (__fmt == ios_base::oct || __fmt == ios_base::hex)
+ return _M_insert(static_cast<long>(static_cast<unsigned int>(__n)));
+      else
+ return _M_insert(static_cast<long>(__n));
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    operator<<(__streambuf_type* __sbin)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this);
+      if (__cerb && __sbin)
+ {
+   try
+     {
+       if (!__copy_streambufs(__sbin, this->rdbuf()))
+  __err |= ios_base::failbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::failbit); }
+ }
+      else if (!__sbin)
+ __err |= ios_base::badbit;
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    put(char_type __c)
+    {
+      sentry __cerb(*this);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       const int_type __put = this->rdbuf()->sputc(__c);
+       if (traits_type::eq_int_type(__put, traits_type::eof()))
+  __err |= ios_base::badbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    write(const _CharT* __s, streamsize __n)
+    {
+      sentry __cerb(*this);
+      if (__cerb)
+ {
+   try
+     { _M_write(__s, __n); }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    flush()
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      try
+ {
+   if (this->rdbuf() && this->rdbuf()->pubsync() == -1)
+     __err |= ios_base::badbit;
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    typename basic_ostream<_CharT, _Traits>::pos_type
+    basic_ostream<_CharT, _Traits>::
+    tellp()
+    {
+      pos_type __ret = pos_type(-1);
+      try
+ {
+   if (!this->fail())
+     __ret = this->rdbuf()->pubseekoff(0, ios_base::cur, ios_base::out);
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    seekp(pos_type __pos)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      try
+ {
+   if (!this->fail())
+     {
+       const pos_type __p = this->rdbuf()->pubseekpos(__pos,
+            ios_base::out);
+       if (__p == pos_type(off_type(-1)))
+  __err |= ios_base::failbit;
+     }
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    basic_ostream<_CharT, _Traits>::
+    seekp(off_type __off, ios_base::seekdir __dir)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      try
+ {
+   if (!this->fail())
+     {
+       const pos_type __p = this->rdbuf()->pubseekoff(__off, __dir,
+            ios_base::out);
+       if (__p == pos_type(off_type(-1)))
+  __err |= ios_base::failbit;
+     }
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_ostream<_CharT, _Traits>&
+    operator<<(basic_ostream<_CharT, _Traits>& __out, const char* __s)
+    {
+      if (!__s)
+ __out.setstate(ios_base::badbit);
+      else
+ {
+   const size_t __clen = char_traits<char>::length(__s);
+   try
+     {
+       struct __ptr_guard
+       {
+  _CharT *__p;
+  __ptr_guard (_CharT *__ip): __p(__ip) { }
+  ~__ptr_guard() { delete[] __p; }
+  _CharT* __get() { return __p; }
+       } __pg (new _CharT[__clen]);
+       _CharT *__ws = __pg.__get();
+       for (size_t __i = 0; __i < __clen; ++__i)
+  __ws[__i] = __out.widen(__s[__i]);
+       __ostream_insert(__out, __ws, __clen);
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       __out._M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { __out._M_setstate(ios_base::badbit); }
+ }
+      return __out;
+    }
+  extern template class basic_ostream<char>;
+  extern template ostream& endl(ostream&);
+  extern template ostream& ends(ostream&);
+  extern template ostream& flush(ostream&);
+  extern template ostream& operator<<(ostream&, char);
+  extern template ostream& operator<<(ostream&, unsigned char);
+  extern template ostream& operator<<(ostream&, signed char);
+  extern template ostream& operator<<(ostream&, const char*);
+  extern template ostream& operator<<(ostream&, const unsigned char*);
+  extern template ostream& operator<<(ostream&, const signed char*);
+  extern template ostream& ostream::_M_insert(long);
+  extern template ostream& ostream::_M_insert(unsigned long);
+  extern template ostream& ostream::_M_insert(bool);
+  extern template ostream& ostream::_M_insert(long long);
+  extern template ostream& ostream::_M_insert(unsigned long long);
+  extern template ostream& ostream::_M_insert(double);
+  extern template ostream& ostream::_M_insert(long double);
+  extern template ostream& ostream::_M_insert(const void*);
+  extern template class basic_ostream<wchar_t>;
+  extern template wostream& endl(wostream&);
+  extern template wostream& ends(wostream&);
+  extern template wostream& flush(wostream&);
+  extern template wostream& operator<<(wostream&, wchar_t);
+  extern template wostream& operator<<(wostream&, char);
+  extern template wostream& operator<<(wostream&, const wchar_t*);
+  extern template wostream& operator<<(wostream&, const char*);
+  extern template wostream& wostream::_M_insert(long);
+  extern template wostream& wostream::_M_insert(unsigned long);
+  extern template wostream& wostream::_M_insert(bool);
+  extern template wostream& wostream::_M_insert(long long);
+  extern template wostream& wostream::_M_insert(unsigned long long);
+  extern template wostream& wostream::_M_insert(double);
+  extern template wostream& wostream::_M_insert(long double);
+  extern template wostream& wostream::_M_insert(const void*);
+}
+namespace std {
+  template<typename _CharT, typename _Traits>
+    class basic_istream : virtual public basic_ios<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef typename _Traits::int_type int_type;
+      typedef typename _Traits::pos_type pos_type;
+      typedef typename _Traits::off_type off_type;
+      typedef _Traits traits_type;
+      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
+      typedef basic_ios<_CharT, _Traits> __ios_type;
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef num_get<_CharT, istreambuf_iterator<_CharT, _Traits> >
+        __num_get_type;
+      typedef ctype<_CharT> __ctype_type;
+    protected:
+      streamsize _M_gcount;
+    public:
+      explicit
+      basic_istream(__streambuf_type* __sb)
+      : _M_gcount(streamsize(0))
+      { this->init(__sb); }
+      virtual
+      ~basic_istream()
+      { _M_gcount = streamsize(0); }
+      class sentry;
+      friend class sentry;
+      __istream_type&
+      operator>>(__istream_type& (*__pf)(__istream_type&))
+      { return __pf(*this); }
+      __istream_type&
+      operator>>(__ios_type& (*__pf)(__ios_type&))
+      {
+ __pf(*this);
+ return *this;
+      }
+      __istream_type&
+      operator>>(ios_base& (*__pf)(ios_base&))
+      {
+ __pf(*this);
+ return *this;
+      }
+      __istream_type&
+      operator>>(bool& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(short& __n);
+      __istream_type&
+      operator>>(unsigned short& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(int& __n);
+      __istream_type&
+      operator>>(unsigned int& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(long& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(unsigned long& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(long long& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(unsigned long long& __n)
+      { return _M_extract(__n); }
+      __istream_type&
+      operator>>(float& __f)
+      { return _M_extract(__f); }
+      __istream_type&
+      operator>>(double& __f)
+      { return _M_extract(__f); }
+      __istream_type&
+      operator>>(long double& __f)
+      { return _M_extract(__f); }
+      __istream_type&
+      operator>>(void*& __p)
+      { return _M_extract(__p); }
+      __istream_type&
+      operator>>(__streambuf_type* __sb);
+      streamsize
+      gcount() const
+      { return _M_gcount; }
+      int_type
+      get();
+      __istream_type&
+      get(char_type& __c);
+      __istream_type&
+      get(char_type* __s, streamsize __n, char_type __delim);
+      __istream_type&
+      get(char_type* __s, streamsize __n)
+      { return this->get(__s, __n, this->widen('\n')); }
+      __istream_type&
+      get(__streambuf_type& __sb, char_type __delim);
+      __istream_type&
+      get(__streambuf_type& __sb)
+      { return this->get(__sb, this->widen('\n')); }
+      __istream_type&
+      getline(char_type* __s, streamsize __n, char_type __delim);
+      __istream_type&
+      getline(char_type* __s, streamsize __n)
+      { return this->getline(__s, __n, this->widen('\n')); }
+      __istream_type&
+      ignore();
+      __istream_type&
+      ignore(streamsize __n);
+      __istream_type&
+      ignore(streamsize __n, int_type __delim);
+      int_type
+      peek();
+      __istream_type&
+      read(char_type* __s, streamsize __n);
+      streamsize
+      readsome(char_type* __s, streamsize __n);
+      __istream_type&
+      putback(char_type __c);
+      __istream_type&
+      unget();
+      int
+      sync();
+      pos_type
+      tellg();
+      __istream_type&
+      seekg(pos_type);
+      __istream_type&
+      seekg(off_type, ios_base::seekdir);
+    protected:
+      basic_istream()
+      : _M_gcount(streamsize(0))
+      { this->init(0); }
+      template<typename _ValueT>
+        __istream_type&
+        _M_extract(_ValueT& __v);
+    };
+  template<>
+    basic_istream<char>&
+    basic_istream<char>::
+    getline(char_type* __s, streamsize __n, char_type __delim);
+  template<>
+    basic_istream<char>&
+    basic_istream<char>::
+    ignore(streamsize __n);
+  template<>
+    basic_istream<char>&
+    basic_istream<char>::
+    ignore(streamsize __n, int_type __delim);
+  template<>
+    basic_istream<wchar_t>&
+    basic_istream<wchar_t>::
+    getline(char_type* __s, streamsize __n, char_type __delim);
+  template<>
+    basic_istream<wchar_t>&
+    basic_istream<wchar_t>::
+    ignore(streamsize __n);
+  template<>
+    basic_istream<wchar_t>&
+    basic_istream<wchar_t>::
+    ignore(streamsize __n, int_type __delim);
+  template<typename _CharT, typename _Traits>
+    class basic_istream<_CharT, _Traits>::sentry
+    {
+    public:
+      typedef _Traits traits_type;
+      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef typename __istream_type::__ctype_type __ctype_type;
+      typedef typename _Traits::int_type __int_type;
+      explicit
+      sentry(basic_istream<_CharT, _Traits>& __is, bool __noskipws = false);
+      operator bool() const
+      { return _M_ok; }
+    private:
+      bool _M_ok;
+    };
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT& __c);
+  template<class _Traits>
+    inline basic_istream<char, _Traits>&
+    operator>>(basic_istream<char, _Traits>& __in, unsigned char& __c)
+    { return (__in >> reinterpret_cast<char&>(__c)); }
+  template<class _Traits>
+    inline basic_istream<char, _Traits>&
+    operator>>(basic_istream<char, _Traits>& __in, signed char& __c)
+    { return (__in >> reinterpret_cast<char&>(__c)); }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT* __s);
+  template<>
+    basic_istream<char>&
+    operator>>(basic_istream<char>& __in, char* __s);
+  template<class _Traits>
+    inline basic_istream<char, _Traits>&
+    operator>>(basic_istream<char, _Traits>& __in, unsigned char* __s)
+    { return (__in >> reinterpret_cast<char*>(__s)); }
+  template<class _Traits>
+    inline basic_istream<char, _Traits>&
+    operator>>(basic_istream<char, _Traits>& __in, signed char* __s)
+    { return (__in >> reinterpret_cast<char*>(__s)); }
+  template<typename _CharT, typename _Traits>
+    class basic_iostream
+    : public basic_istream<_CharT, _Traits>,
+      public basic_ostream<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef typename _Traits::int_type int_type;
+      typedef typename _Traits::pos_type pos_type;
+      typedef typename _Traits::off_type off_type;
+      typedef _Traits traits_type;
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef basic_ostream<_CharT, _Traits> __ostream_type;
+      explicit
+      basic_iostream(basic_streambuf<_CharT, _Traits>* __sb)
+      : __istream_type(__sb), __ostream_type(__sb) { }
+      virtual
+      ~basic_iostream() { }
+    protected:
+      basic_iostream()
+      : __istream_type(), __ostream_type() { }
+    };
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    ws(basic_istream<_CharT, _Traits>& __is);
+}
+       
+namespace std {
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>::sentry::
+    sentry(basic_istream<_CharT, _Traits>& __in, bool __noskip) : _M_ok(false)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      if (__in.good())
+ {
+   if (__in.tie())
+     __in.tie()->flush();
+   if (!__noskip && bool(__in.flags() & ios_base::skipws))
+     {
+       const __int_type __eof = traits_type::eof();
+       __streambuf_type* __sb = __in.rdbuf();
+       __int_type __c = __sb->sgetc();
+       const __ctype_type& __ct = __check_facet(__in._M_ctype);
+       while (!traits_type::eq_int_type(__c, __eof)
+       && __ct.is(ctype_base::space,
+    traits_type::to_char_type(__c)))
+  __c = __sb->snextc();
+       if (traits_type::eq_int_type(__c, __eof))
+  __err |= ios_base::eofbit;
+     }
+ }
+      if (__in.good() && __err == ios_base::goodbit)
+ _M_ok = true;
+      else
+ {
+   __err |= ios_base::failbit;
+   __in.setstate(__err);
+ }
+    }
+  template<typename _CharT, typename _Traits>
+    template<typename _ValueT>
+      basic_istream<_CharT, _Traits>&
+      basic_istream<_CharT, _Traits>::
+      _M_extract(_ValueT& __v)
+      {
+ sentry __cerb(*this, false);
+ if (__cerb)
+   {
+     ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+     try
+       {
+  const __num_get_type& __ng = __check_facet(this->_M_num_get);
+  __ng.get(*this, 0, *this, __err, __v);
+       }
+     catch(__cxxabiv1::__forced_unwind&)
+       {
+  this->_M_setstate(ios_base::badbit);
+  throw;
+       }
+     catch(...)
+       { this->_M_setstate(ios_base::badbit); }
+     if (__err)
+       this->setstate(__err);
+   }
+ return *this;
+      }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    operator>>(short& __n)
+    {
+      long __l;
+      _M_extract(__l);
+      if (!this->fail())
+ {
+   if (__gnu_cxx::__numeric_traits<short>::__min <= __l
+       && __l <= __gnu_cxx::__numeric_traits<short>::__max)
+     __n = short(__l);
+   else
+     this->setstate(ios_base::failbit);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    operator>>(int& __n)
+    {
+      long __l;
+      _M_extract(__l);
+      if (!this->fail())
+ {
+   if (__gnu_cxx::__numeric_traits<int>::__min <= __l
+       && __l <= __gnu_cxx::__numeric_traits<int>::__max)
+     __n = int(__l);
+   else
+     this->setstate(ios_base::failbit);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    operator>>(__streambuf_type* __sbout)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this, false);
+      if (__cerb && __sbout)
+ {
+   try
+     {
+       bool __ineof;
+       if (!__copy_streambufs_eof(this->rdbuf(), __sbout, __ineof))
+  __err |= ios_base::failbit;
+       if (__ineof)
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::failbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::failbit); }
+ }
+      else if (!__sbout)
+ __err |= ios_base::failbit;
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    typename basic_istream<_CharT, _Traits>::int_type
+    basic_istream<_CharT, _Traits>::
+    get(void)
+    {
+      const int_type __eof = traits_type::eof();
+      int_type __c = __eof;
+      _M_gcount = 0;
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   try
+     {
+       __c = this->rdbuf()->sbumpc();
+       if (!traits_type::eq_int_type(__c, __eof))
+  _M_gcount = 1;
+       else
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+ }
+      if (!_M_gcount)
+ __err |= ios_base::failbit;
+      if (__err)
+ this->setstate(__err);
+      return __c;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    get(char_type& __c)
+    {
+      _M_gcount = 0;
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   try
+     {
+       const int_type __cb = this->rdbuf()->sbumpc();
+       if (!traits_type::eq_int_type(__cb, traits_type::eof()))
+  {
+    _M_gcount = 1;
+    __c = traits_type::to_char_type(__cb);
+  }
+       else
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+ }
+      if (!_M_gcount)
+ __err |= ios_base::failbit;
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    get(char_type* __s, streamsize __n, char_type __delim)
+    {
+      _M_gcount = 0;
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   try
+     {
+       const int_type __idelim = traits_type::to_int_type(__delim);
+       const int_type __eof = traits_type::eof();
+       __streambuf_type* __sb = this->rdbuf();
+       int_type __c = __sb->sgetc();
+       while (_M_gcount + 1 < __n
+       && !traits_type::eq_int_type(__c, __eof)
+       && !traits_type::eq_int_type(__c, __idelim))
+  {
+    *__s++ = traits_type::to_char_type(__c);
+    ++_M_gcount;
+    __c = __sb->snextc();
+  }
+       if (traits_type::eq_int_type(__c, __eof))
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+ }
+      if (__n > 0)
+ *__s = char_type();
+      if (!_M_gcount)
+ __err |= ios_base::failbit;
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    get(__streambuf_type& __sb, char_type __delim)
+    {
+      _M_gcount = 0;
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   try
+     {
+       const int_type __idelim = traits_type::to_int_type(__delim);
+       const int_type __eof = traits_type::eof();
+       __streambuf_type* __this_sb = this->rdbuf();
+       int_type __c = __this_sb->sgetc();
+       char_type __c2 = traits_type::to_char_type(__c);
+       while (!traits_type::eq_int_type(__c, __eof)
+       && !traits_type::eq_int_type(__c, __idelim)
+       && !traits_type::eq_int_type(__sb.sputc(__c2), __eof))
+  {
+    ++_M_gcount;
+    __c = __this_sb->snextc();
+    __c2 = traits_type::to_char_type(__c);
+  }
+       if (traits_type::eq_int_type(__c, __eof))
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+ }
+      if (!_M_gcount)
+ __err |= ios_base::failbit;
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    getline(char_type* __s, streamsize __n, char_type __delim)
+    {
+      _M_gcount = 0;
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      sentry __cerb(*this, true);
+      if (__cerb)
+        {
+          try
+            {
+              const int_type __idelim = traits_type::to_int_type(__delim);
+              const int_type __eof = traits_type::eof();
+              __streambuf_type* __sb = this->rdbuf();
+              int_type __c = __sb->sgetc();
+              while (_M_gcount + 1 < __n
+                     && !traits_type::eq_int_type(__c, __eof)
+                     && !traits_type::eq_int_type(__c, __idelim))
+                {
+                  *__s++ = traits_type::to_char_type(__c);
+                  __c = __sb->snextc();
+                  ++_M_gcount;
+                }
+              if (traits_type::eq_int_type(__c, __eof))
+                __err |= ios_base::eofbit;
+              else
+                {
+                  if (traits_type::eq_int_type(__c, __idelim))
+                    {
+                      __sb->sbumpc();
+                      ++_M_gcount;
+                    }
+                  else
+                    __err |= ios_base::failbit;
+                }
+            }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+          catch(...)
+            { this->_M_setstate(ios_base::badbit); }
+        }
+      if (__n > 0)
+ *__s = char_type();
+      if (!_M_gcount)
+        __err |= ios_base::failbit;
+      if (__err)
+        this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    ignore(void)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       const int_type __eof = traits_type::eof();
+       __streambuf_type* __sb = this->rdbuf();
+       if (traits_type::eq_int_type(__sb->sbumpc(), __eof))
+  __err |= ios_base::eofbit;
+       else
+  _M_gcount = 1;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    ignore(streamsize __n)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb && __n > 0)
+        {
+          ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+          try
+            {
+              const int_type __eof = traits_type::eof();
+              __streambuf_type* __sb = this->rdbuf();
+              int_type __c = __sb->sgetc();
+       bool __large_ignore = false;
+       while (true)
+  {
+    while (_M_gcount < __n
+    && !traits_type::eq_int_type(__c, __eof))
+      {
+        ++_M_gcount;
+        __c = __sb->snextc();
+      }
+    if (__n == __gnu_cxx::__numeric_traits<streamsize>::__max
+        && !traits_type::eq_int_type(__c, __eof))
+      {
+        _M_gcount =
+   __gnu_cxx::__numeric_traits<streamsize>::__min;
+        __large_ignore = true;
+      }
+    else
+      break;
+  }
+       if (__large_ignore)
+  _M_gcount = __gnu_cxx::__numeric_traits<streamsize>::__max;
+       if (traits_type::eq_int_type(__c, __eof))
+                __err |= ios_base::eofbit;
+            }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+          catch(...)
+            { this->_M_setstate(ios_base::badbit); }
+          if (__err)
+            this->setstate(__err);
+        }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    ignore(streamsize __n, int_type __delim)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb && __n > 0)
+        {
+          ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+          try
+            {
+              const int_type __eof = traits_type::eof();
+              __streambuf_type* __sb = this->rdbuf();
+              int_type __c = __sb->sgetc();
+       bool __large_ignore = false;
+       while (true)
+  {
+    while (_M_gcount < __n
+    && !traits_type::eq_int_type(__c, __eof)
+    && !traits_type::eq_int_type(__c, __delim))
+      {
+        ++_M_gcount;
+        __c = __sb->snextc();
+      }
+    if (__n == __gnu_cxx::__numeric_traits<streamsize>::__max
+        && !traits_type::eq_int_type(__c, __eof)
+        && !traits_type::eq_int_type(__c, __delim))
+      {
+        _M_gcount =
+   __gnu_cxx::__numeric_traits<streamsize>::__min;
+        __large_ignore = true;
+      }
+    else
+      break;
+  }
+       if (__large_ignore)
+  _M_gcount = __gnu_cxx::__numeric_traits<streamsize>::__max;
+              if (traits_type::eq_int_type(__c, __eof))
+                __err |= ios_base::eofbit;
+       else if (traits_type::eq_int_type(__c, __delim))
+  {
+    if (_M_gcount
+        < __gnu_cxx::__numeric_traits<streamsize>::__max)
+      ++_M_gcount;
+    __sb->sbumpc();
+  }
+            }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+          catch(...)
+            { this->_M_setstate(ios_base::badbit); }
+          if (__err)
+            this->setstate(__err);
+        }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    typename basic_istream<_CharT, _Traits>::int_type
+    basic_istream<_CharT, _Traits>::
+    peek(void)
+    {
+      int_type __c = traits_type::eof();
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       __c = this->rdbuf()->sgetc();
+       if (traits_type::eq_int_type(__c, traits_type::eof()))
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return __c;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    read(char_type* __s, streamsize __n)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       _M_gcount = this->rdbuf()->sgetn(__s, __n);
+       if (_M_gcount != __n)
+  __err |= (ios_base::eofbit | ios_base::failbit);
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    streamsize
+    basic_istream<_CharT, _Traits>::
+    readsome(char_type* __s, streamsize __n)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       const streamsize __num = this->rdbuf()->in_avail();
+       if (__num > 0)
+  _M_gcount = this->rdbuf()->sgetn(__s, std::min(__num, __n));
+       else if (__num == -1)
+  __err |= ios_base::eofbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return _M_gcount;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    putback(char_type __c)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       const int_type __eof = traits_type::eof();
+       __streambuf_type* __sb = this->rdbuf();
+       if (!__sb
+    || traits_type::eq_int_type(__sb->sputbackc(__c), __eof))
+  __err |= ios_base::badbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    unget(void)
+    {
+      _M_gcount = 0;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       const int_type __eof = traits_type::eof();
+       __streambuf_type* __sb = this->rdbuf();
+       if (!__sb
+    || traits_type::eq_int_type(__sb->sungetc(), __eof))
+  __err |= ios_base::badbit;
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    int
+    basic_istream<_CharT, _Traits>::
+    sync(void)
+    {
+      int __ret = -1;
+      sentry __cerb(*this, true);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       __streambuf_type* __sb = this->rdbuf();
+       if (__sb)
+  {
+    if (__sb->pubsync() == -1)
+      __err |= ios_base::badbit;
+    else
+      __ret = 0;
+  }
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       this->_M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { this->_M_setstate(ios_base::badbit); }
+   if (__err)
+     this->setstate(__err);
+ }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits>
+    typename basic_istream<_CharT, _Traits>::pos_type
+    basic_istream<_CharT, _Traits>::
+    tellg(void)
+    {
+      pos_type __ret = pos_type(-1);
+      try
+ {
+   if (!this->fail())
+     __ret = this->rdbuf()->pubseekoff(0, ios_base::cur,
+           ios_base::in);
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      return __ret;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    seekg(pos_type __pos)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      try
+ {
+   if (!this->fail())
+     {
+       const pos_type __p = this->rdbuf()->pubseekpos(__pos,
+            ios_base::in);
+       if (__p == pos_type(off_type(-1)))
+  __err |= ios_base::failbit;
+     }
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    basic_istream<_CharT, _Traits>::
+    seekg(off_type __off, ios_base::seekdir __dir)
+    {
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      try
+ {
+   if (!this->fail())
+     {
+       const pos_type __p = this->rdbuf()->pubseekoff(__off, __dir,
+            ios_base::in);
+       if (__p == pos_type(off_type(-1)))
+  __err |= ios_base::failbit;
+     }
+ }
+      catch(__cxxabiv1::__forced_unwind&)
+ {
+   this->_M_setstate(ios_base::badbit);
+   throw;
+ }
+      catch(...)
+ { this->_M_setstate(ios_base::badbit); }
+      if (__err)
+ this->setstate(__err);
+      return *this;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT& __c)
+    {
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef typename __istream_type::int_type __int_type;
+      typename __istream_type::sentry __cerb(__in, false);
+      if (__cerb)
+ {
+   ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+   try
+     {
+       const __int_type __cb = __in.rdbuf()->sbumpc();
+       if (!_Traits::eq_int_type(__cb, _Traits::eof()))
+  __c = _Traits::to_char_type(__cb);
+       else
+  __err |= (ios_base::eofbit | ios_base::failbit);
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       __in._M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { __in._M_setstate(ios_base::badbit); }
+   if (__err)
+     __in.setstate(__err);
+ }
+      return __in;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT* __s)
+    {
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
+      typedef typename _Traits::int_type int_type;
+      typedef _CharT char_type;
+      typedef ctype<_CharT> __ctype_type;
+      streamsize __extracted = 0;
+      ios_base::iostate __err = ios_base::iostate(ios_base::goodbit);
+      typename __istream_type::sentry __cerb(__in, false);
+      if (__cerb)
+ {
+   try
+     {
+       streamsize __num = __in.width();
+       if (__num <= 0)
+  __num = __gnu_cxx::__numeric_traits<streamsize>::__max;
+       const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
+       const int_type __eof = _Traits::eof();
+       __streambuf_type* __sb = __in.rdbuf();
+       int_type __c = __sb->sgetc();
+       while (__extracted < __num - 1
+       && !_Traits::eq_int_type(__c, __eof)
+       && !__ct.is(ctype_base::space,
+     _Traits::to_char_type(__c)))
+  {
+    *__s++ = _Traits::to_char_type(__c);
+    ++__extracted;
+    __c = __sb->snextc();
+  }
+       if (_Traits::eq_int_type(__c, __eof))
+  __err |= ios_base::eofbit;
+       *__s = char_type();
+       __in.width(0);
+     }
+   catch(__cxxabiv1::__forced_unwind&)
+     {
+       __in._M_setstate(ios_base::badbit);
+       throw;
+     }
+   catch(...)
+     { __in._M_setstate(ios_base::badbit); }
+ }
+      if (!__extracted)
+ __err |= ios_base::failbit;
+      if (__err)
+ __in.setstate(__err);
+      return __in;
+    }
+  template<typename _CharT, typename _Traits>
+    basic_istream<_CharT, _Traits>&
+    ws(basic_istream<_CharT, _Traits>& __in)
+    {
+      typedef basic_istream<_CharT, _Traits> __istream_type;
+      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
+      typedef typename __istream_type::int_type __int_type;
+      typedef ctype<_CharT> __ctype_type;
+      const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
+      const __int_type __eof = _Traits::eof();
+      __streambuf_type* __sb = __in.rdbuf();
+      __int_type __c = __sb->sgetc();
+      while (!_Traits::eq_int_type(__c, __eof)
+      && __ct.is(ctype_base::space, _Traits::to_char_type(__c)))
+ __c = __sb->snextc();
+       if (_Traits::eq_int_type(__c, __eof))
+  __in.setstate(ios_base::eofbit);
+      return __in;
+    }
+  extern template class basic_istream<char>;
+  extern template istream& ws(istream&);
+  extern template istream& operator>>(istream&, char&);
+  extern template istream& operator>>(istream&, char*);
+  extern template istream& operator>>(istream&, unsigned char&);
+  extern template istream& operator>>(istream&, signed char&);
+  extern template istream& operator>>(istream&, unsigned char*);
+  extern template istream& operator>>(istream&, signed char*);
+  extern template istream& istream::_M_extract(unsigned short&);
+  extern template istream& istream::_M_extract(unsigned int&);
+  extern template istream& istream::_M_extract(long&);
+  extern template istream& istream::_M_extract(unsigned long&);
+  extern template istream& istream::_M_extract(bool&);
+  extern template istream& istream::_M_extract(long long&);
+  extern template istream& istream::_M_extract(unsigned long long&);
+  extern template istream& istream::_M_extract(float&);
+  extern template istream& istream::_M_extract(double&);
+  extern template istream& istream::_M_extract(long double&);
+  extern template istream& istream::_M_extract(void*&);
+  extern template class basic_iostream<char>;
+  extern template class basic_istream<wchar_t>;
+  extern template wistream& ws(wistream&);
+  extern template wistream& operator>>(wistream&, wchar_t&);
+  extern template wistream& operator>>(wistream&, wchar_t*);
+  extern template wistream& wistream::_M_extract(unsigned short&);
+  extern template wistream& wistream::_M_extract(unsigned int&);
+  extern template wistream& wistream::_M_extract(long&);
+  extern template wistream& wistream::_M_extract(unsigned long&);
+  extern template wistream& wistream::_M_extract(bool&);
+  extern template wistream& wistream::_M_extract(long long&);
+  extern template wistream& wistream::_M_extract(unsigned long long&);
+  extern template wistream& wistream::_M_extract(float&);
+  extern template wistream& wistream::_M_extract(double&);
+  extern template wistream& wistream::_M_extract(long double&);
+  extern template wistream& wistream::_M_extract(void*&);
+  extern template class basic_iostream<wchar_t>;
+}
+namespace std {
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    class basic_stringbuf : public basic_streambuf<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef _Alloc allocator_type;
+      typedef typename traits_type::int_type int_type;
+      typedef typename traits_type::pos_type pos_type;
+      typedef typename traits_type::off_type off_type;
+      typedef basic_streambuf<char_type, traits_type> __streambuf_type;
+      typedef basic_string<char_type, _Traits, _Alloc> __string_type;
+      typedef typename __string_type::size_type __size_type;
+    protected:
+      ios_base::openmode _M_mode;
+      __string_type _M_string;
+    public:
+      explicit
+      basic_stringbuf(ios_base::openmode __mode = ios_base::in | ios_base::out)
+      : __streambuf_type(), _M_mode(__mode), _M_string()
+      { }
+      explicit
+      basic_stringbuf(const __string_type& __str,
+        ios_base::openmode __mode = ios_base::in | ios_base::out)
+      : __streambuf_type(), _M_mode(), _M_string(__str.data(), __str.size())
+      { _M_stringbuf_init(__mode); }
+      __string_type
+      str() const
+      {
+ __string_type __ret;
+ if (this->pptr())
+   {
+     if (this->pptr() > this->egptr())
+       __ret = __string_type(this->pbase(), this->pptr());
+     else
+        __ret = __string_type(this->pbase(), this->egptr());
+   }
+ else
+   __ret = _M_string;
+ return __ret;
+      }
+      void
+      str(const __string_type& __s)
+      {
+ _M_string.assign(__s.data(), __s.size());
+ _M_stringbuf_init(_M_mode);
+      }
+    protected:
+      void
+      _M_stringbuf_init(ios_base::openmode __mode)
+      {
+ _M_mode = __mode;
+ __size_type __len = 0;
+ if (_M_mode & (ios_base::ate | ios_base::app))
+   __len = _M_string.size();
+ _M_sync(const_cast<char_type*>(_M_string.data()), 0, __len);
+      }
+      virtual streamsize
+      showmanyc()
+      {
+ streamsize __ret = -1;
+ if (_M_mode & ios_base::in)
+   {
+     _M_update_egptr();
+     __ret = this->egptr() - this->gptr();
+   }
+ return __ret;
+      }
+      virtual int_type
+      underflow();
+      virtual int_type
+      pbackfail(int_type __c = traits_type::eof());
+      virtual int_type
+      overflow(int_type __c = traits_type::eof());
+      virtual __streambuf_type*
+      setbuf(char_type* __s, streamsize __n)
+      {
+ if (__s && __n >= 0)
+   {
+     _M_string.clear();
+     _M_sync(__s, __n, 0);
+   }
+ return this;
+      }
+      virtual pos_type
+      seekoff(off_type __off, ios_base::seekdir __way,
+       ios_base::openmode __mode = ios_base::in | ios_base::out);
+      virtual pos_type
+      seekpos(pos_type __sp,
+       ios_base::openmode __mode = ios_base::in | ios_base::out);
+      void
+      _M_sync(char_type* __base, __size_type __i, __size_type __o);
+      void
+      _M_update_egptr()
+      {
+ const bool __testin = _M_mode & ios_base::in;
+ if (this->pptr() && this->pptr() > this->egptr())
+   if (__testin)
+     this->setg(this->eback(), this->gptr(), this->pptr());
+   else
+     this->setg(this->pptr(), this->pptr(), this->pptr());
+      }
+    };
+  template<typename _CharT, typename _Traits, typename _Alloc>
+    class basic_istringstream : public basic_istream<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef _Alloc allocator_type;
+      typedef typename traits_type::int_type int_type;
+      typedef typename traits_type::pos_type pos_type;
+      typedef typename traits_type::off_type off_type;
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef basic_stringbuf<_CharT, _Traits, _Alloc> __stringbuf_type;
+      typedef basic_istream<char_type, traits_type> __istream_type;
+    private:
+      __stringbuf_type _M_stringbuf;
+    public:
+      explicit
+      basic_istringstream(ios_base::openmode __mode = ios_base::in)
+      : __istream_type(), _M_stringbuf(__mode | ios_base::in)
+      { this->init(&_M_stringbuf); }
+      explicit
+      basic_istringstream(const __string_type& __str,
+     ios_base::openmode __mode = ios_base::in)
+      : __istream_type(), _M_stringbuf(__str, __mode | ios_base::in)
+      { this->init(&_M_stringbuf); }
+      ~basic_istringstream()
+      { }
+      __stringbuf_type*
+      rdbuf() const
+      { return const_cast<__stringbuf_type*>(&_M_stringbuf); }
+      __string_type
+      str() const
+      { return _M_stringbuf.str(); }
+      void
+      str(const __string_type& __s)
+      { _M_stringbuf.str(__s); }
+    };
+  template <typename _CharT, typename _Traits, typename _Alloc>
+    class basic_ostringstream : public basic_ostream<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef _Alloc allocator_type;
+      typedef typename traits_type::int_type int_type;
+      typedef typename traits_type::pos_type pos_type;
+      typedef typename traits_type::off_type off_type;
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef basic_stringbuf<_CharT, _Traits, _Alloc> __stringbuf_type;
+      typedef basic_ostream<char_type, traits_type> __ostream_type;
+    private:
+      __stringbuf_type _M_stringbuf;
+    public:
+      explicit
+      basic_ostringstream(ios_base::openmode __mode = ios_base::out)
+      : __ostream_type(), _M_stringbuf(__mode | ios_base::out)
+      { this->init(&_M_stringbuf); }
+      explicit
+      basic_ostringstream(const __string_type& __str,
+     ios_base::openmode __mode = ios_base::out)
+      : __ostream_type(), _M_stringbuf(__str, __mode | ios_base::out)
+      { this->init(&_M_stringbuf); }
+      ~basic_ostringstream()
+      { }
+      __stringbuf_type*
+      rdbuf() const
+      { return const_cast<__stringbuf_type*>(&_M_stringbuf); }
+      __string_type
+      str() const
+      { return _M_stringbuf.str(); }
+      void
+      str(const __string_type& __s)
+      { _M_stringbuf.str(__s); }
+    };
+  template <typename _CharT, typename _Traits, typename _Alloc>
+    class basic_stringstream : public basic_iostream<_CharT, _Traits>
+    {
+    public:
+      typedef _CharT char_type;
+      typedef _Traits traits_type;
+      typedef _Alloc allocator_type;
+      typedef typename traits_type::int_type int_type;
+      typedef typename traits_type::pos_type pos_type;
+      typedef typename traits_type::off_type off_type;
+      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
+      typedef basic_stringbuf<_CharT, _Traits, _Alloc> __stringbuf_type;
+      typedef basic_iostream<char_type, traits_type> __iostream_type;
+    private:
+      __stringbuf_type _M_stringbuf;
+    public:
+      explicit
+      basic_stringstream(ios_base::openmode __m = ios_base::out | ios_base::in)
+      : __iostream_type(), _M_stringbuf(__m)
+      { this->init(&_M_stringbuf); }
+      explicit
+      basic_stringstream(const __string_type& __str,
+    ios_base::openmode __m = ios_base::out | ios_base::in)
+      : __iostream_type(), _M_stringbuf(__str, __m)
+      { this->init(&_M_stringbuf); }
+      ~basic_stringstream()
+      { }
+      __stringbuf_type*
+      rdbuf() const
+      { return const_cast<__stringbuf_type*>(&_M_stringbuf); }
+      __string_type
+      str() const
+      { return _M_stringbuf.str(); }
+      void
+      str(const __string_type& __s)
+      { _M_stringbuf.str(__s); }
+    };
+}
+       
+namespace std {
+  template <class _CharT, class _Traits, class _Alloc>
+    typename basic_stringbuf<_CharT, _Traits, _Alloc>::int_type
+    basic_stringbuf<_CharT, _Traits, _Alloc>::
+    pbackfail(int_type __c)
+    {
+      int_type __ret = traits_type::eof();
+      if (this->eback() < this->gptr())
+ {
+   const bool __testeof = traits_type::eq_int_type(__c, __ret);
+   if (!__testeof)
+     {
+       const bool __testeq = traits_type::eq(traits_type::
+          to_char_type(__c),
+          this->gptr()[-1]);
+       const bool __testout = this->_M_mode & ios_base::out;
+       if (__testeq || __testout)
+  {
+    this->gbump(-1);
+    if (!__testeq)
+      *this->gptr() = traits_type::to_char_type(__c);
+    __ret = __c;
+  }
+     }
+   else
+     {
+       this->gbump(-1);
+       __ret = traits_type::not_eof(__c);
+     }
+ }
+      return __ret;
+    }
+  template <class _CharT, class _Traits, class _Alloc>
+    typename basic_stringbuf<_CharT, _Traits, _Alloc>::int_type
+    basic_stringbuf<_CharT, _Traits, _Alloc>::
+    overflow(int_type __c)
+    {
+      const bool __testout = this->_M_mode & ios_base::out;
+      if (__builtin_expect(!__testout, false))
+ return traits_type::eof();
+      const bool __testeof = traits_type::eq_int_type(__c, traits_type::eof());
+      if (__builtin_expect(__testeof, false))
+ return traits_type::not_eof(__c);
+      const __size_type __capacity = _M_string.capacity();
+      const __size_type __max_size = _M_string.max_size();
+      const bool __testput = this->pptr() < this->epptr();
+      if (__builtin_expect(!__testput && __capacity == __max_size, false))
+ return traits_type::eof();
+      const char_type __conv = traits_type::to_char_type(__c);
+      if (!__testput)
+ {
+   const __size_type __opt_len = std::max(__size_type(2 * __capacity),
+       __size_type(512));
+   const __size_type __len = std::min(__opt_len, __max_size);
+   __string_type __tmp;
+   __tmp.reserve(__len);
+   if (this->pbase())
+     __tmp.assign(this->pbase(), this->epptr() - this->pbase());
+   __tmp.push_back(__conv);
+   _M_string.swap(__tmp);
+   _M_sync(const_cast<char_type*>(_M_string.data()),
+    this->gptr() - this->eback(), this->pptr() - this->pbase());
+ }
+      else
+ *this->pptr() = __conv;
+      this->pbump(1);
+      return __c;
+    }
+  template <class _CharT, class _Traits, class _Alloc>
+    typename basic_stringbuf<_CharT, _Traits, _Alloc>::int_type
+    basic_stringbuf<_CharT, _Traits, _Alloc>::
+    underflow()
+    {
+      int_type __ret = traits_type::eof();
+      const bool __testin = this->_M_mode & ios_base::in;
+      if (__testin)
+ {
+   _M_update_egptr();
+   if (this->gptr() < this->egptr())
+     __ret = traits_type::to_int_type(*this->gptr());
+ }
+      return __ret;
+    }
+  template <class _CharT, class _Traits, class _Alloc>
+    typename basic_stringbuf<_CharT, _Traits, _Alloc>::pos_type
+    basic_stringbuf<_CharT, _Traits, _Alloc>::
+    seekoff(off_type __off, ios_base::seekdir __way, ios_base::openmode __mode)
+    {
+      pos_type __ret = pos_type(off_type(-1));
+      bool __testin = (ios_base::in & this->_M_mode & __mode) != 0;
+      bool __testout = (ios_base::out & this->_M_mode & __mode) != 0;
+      const bool __testboth = __testin && __testout && __way != ios_base::cur;
+      __testin &= !(__mode & ios_base::out);
+      __testout &= !(__mode & ios_base::in);
+      const char_type* __beg = __testin ? this->eback() : this->pbase();
+      if ((__beg || !__off) && (__testin || __testout || __testboth))
+ {
+   _M_update_egptr();
+   off_type __newoffi = __off;
+   off_type __newoffo = __newoffi;
+   if (__way == ios_base::cur)
+     {
+       __newoffi += this->gptr() - __beg;
+       __newoffo += this->pptr() - __beg;
+     }
+   else if (__way == ios_base::end)
+     __newoffo = __newoffi += this->egptr() - __beg;
+   if ((__testin || __testboth)
+       && __newoffi >= 0
+       && this->egptr() - __beg >= __newoffi)
+     {
+       this->gbump((__beg + __newoffi) - this->gptr());
+       __ret = pos_type(__newoffi);
+     }
+   if ((__testout || __testboth)
+       && __newoffo >= 0
+       && this->egptr() - __beg >= __newoffo)
+     {
+       this->pbump((__beg + __newoffo) - this->pptr());
+       __ret = pos_type(__newoffo);
+     }
+ }
+      return __ret;
+    }
+  template <class _CharT, class _Traits, class _Alloc>
+    typename basic_stringbuf<_CharT, _Traits, _Alloc>::pos_type
+    basic_stringbuf<_CharT, _Traits, _Alloc>::
+    seekpos(pos_type __sp, ios_base::openmode __mode)
+    {
+      pos_type __ret = pos_type(off_type(-1));
+      const bool __testin = (ios_base::in & this->_M_mode & __mode) != 0;
+      const bool __testout = (ios_base::out & this->_M_mode & __mode) != 0;
+      const char_type* __beg = __testin ? this->eback() : this->pbase();
+      if ((__beg || !off_type(__sp)) && (__testin || __testout))
+ {
+   _M_update_egptr();
+   const off_type __pos(__sp);
+   const bool __testpos = (0 <= __pos
+      && __pos <= this->egptr() - __beg);
+   if (__testpos)
+     {
+       if (__testin)
+  this->gbump((__beg + __pos) - this->gptr());
+       if (__testout)
+                this->pbump((__beg + __pos) - this->pptr());
+       __ret = __sp;
+     }
+ }
+      return __ret;
+    }
+  template <class _CharT, class _Traits, class _Alloc>
+    void
+    basic_stringbuf<_CharT, _Traits, _Alloc>::
+    _M_sync(char_type* __base, __size_type __i, __size_type __o)
+    {
+      const bool __testin = _M_mode & ios_base::in;
+      const bool __testout = _M_mode & ios_base::out;
+      char_type* __endg = __base + _M_string.size();
+      char_type* __endp = __base + _M_string.capacity();
+      if (__base != _M_string.data())
+ {
+   __endg += __i;
+   __i = 0;
+   __endp = __endg;
+ }
+      if (__testin)
+ this->setg(__base, __base + __i, __endg);
+      if (__testout)
+ {
+   this->setp(__base, __endp);
+   this->pbump(__o);
+   if (!__testin)
+     this->setg(__endg, __endg, __endg);
+ }
+    }
+  extern template class basic_stringbuf<char>;
+  extern template class basic_istringstream<char>;
+  extern template class basic_ostringstream<char>;
+  extern template class basic_stringstream<char>;
+  extern template class basic_stringbuf<wchar_t>;
+  extern template class basic_istringstream<wchar_t>;
+  extern template class basic_ostringstream<wchar_t>;
+  extern template class basic_stringstream<wchar_t>;
+}
+namespace std {
+  template<typename _Tp> class complex;
+  template<> class complex<float>;
+  template<> class complex<double>;
+  template<> class complex<long double>;
+  template<typename _Tp> _Tp abs(const complex<_Tp>&);
+  template<typename _Tp> _Tp arg(const complex<_Tp>&);
+  template<typename _Tp> _Tp norm(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> polar(const _Tp&, const _Tp& = 0);
+  template<typename _Tp> complex<_Tp> cos(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> cosh(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> exp(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> log(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int);
+  template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const _Tp&);
+  template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&,
+                                          const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> sin(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> sinh(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> sqrt(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&);
+  template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&);
+  template<typename _Tp>
+    struct complex
+    {
+      typedef _Tp value_type;
+      complex(const _Tp& = _Tp(), const _Tp & = _Tp());
+      template<typename _Up>
+        complex(const complex<_Up>&);
+      _Tp& real();
+      const _Tp& real() const;
+      _Tp& imag();
+      const _Tp& imag() const;
+      complex<_Tp>& operator=(const _Tp&);
+      complex<_Tp>& operator+=(const _Tp&);
+      complex<_Tp>& operator-=(const _Tp&);
+      complex<_Tp>& operator*=(const _Tp&);
+      complex<_Tp>& operator/=(const _Tp&);
+      template<typename _Up>
+        complex<_Tp>& operator=(const complex<_Up>&);
+      template<typename _Up>
+        complex<_Tp>& operator+=(const complex<_Up>&);
+      template<typename _Up>
+        complex<_Tp>& operator-=(const complex<_Up>&);
+      template<typename _Up>
+        complex<_Tp>& operator*=(const complex<_Up>&);
+      template<typename _Up>
+        complex<_Tp>& operator/=(const complex<_Up>&);
+      const complex& __rep() const;
+    private:
+      _Tp _M_real;
+      _Tp _M_imag;
+    };
+  template<typename _Tp>
+    inline _Tp&
+    complex<_Tp>::real() { return _M_real; }
+  template<typename _Tp>
+    inline const _Tp&
+    complex<_Tp>::real() const { return _M_real; }
+  template<typename _Tp>
+    inline _Tp&
+    complex<_Tp>::imag() { return _M_imag; }
+  template<typename _Tp>
+    inline const _Tp&
+    complex<_Tp>::imag() const { return _M_imag; }
+  template<typename _Tp>
+    inline
+    complex<_Tp>::complex(const _Tp& __r, const _Tp& __i)
+    : _M_real(__r), _M_imag(__i) { }
+  template<typename _Tp>
+    template<typename _Up>
+    inline
+    complex<_Tp>::complex(const complex<_Up>& __z)
+    : _M_real(__z.real()), _M_imag(__z.imag()) { }
+  template<typename _Tp>
+    complex<_Tp>&
+    complex<_Tp>::operator=(const _Tp& __t)
+    {
+     _M_real = __t;
+     _M_imag = _Tp();
+     return *this;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>&
+    complex<_Tp>::operator+=(const _Tp& __t)
+    {
+      _M_real += __t;
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>&
+    complex<_Tp>::operator-=(const _Tp& __t)
+    {
+      _M_real -= __t;
+      return *this;
+    }
+  template<typename _Tp>
+    complex<_Tp>&
+    complex<_Tp>::operator*=(const _Tp& __t)
+    {
+      _M_real *= __t;
+      _M_imag *= __t;
+      return *this;
+    }
+  template<typename _Tp>
+    complex<_Tp>&
+    complex<_Tp>::operator/=(const _Tp& __t)
+    {
+      _M_real /= __t;
+      _M_imag /= __t;
+      return *this;
+    }
+  template<typename _Tp>
+    template<typename _Up>
+    complex<_Tp>&
+    complex<_Tp>::operator=(const complex<_Up>& __z)
+    {
+      _M_real = __z.real();
+      _M_imag = __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    template<typename _Up>
+    complex<_Tp>&
+    complex<_Tp>::operator+=(const complex<_Up>& __z)
+    {
+      _M_real += __z.real();
+      _M_imag += __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    template<typename _Up>
+    complex<_Tp>&
+    complex<_Tp>::operator-=(const complex<_Up>& __z)
+    {
+      _M_real -= __z.real();
+      _M_imag -= __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    template<typename _Up>
+    complex<_Tp>&
+    complex<_Tp>::operator*=(const complex<_Up>& __z)
+    {
+      const _Tp __r = _M_real * __z.real() - _M_imag * __z.imag();
+      _M_imag = _M_real * __z.imag() + _M_imag * __z.real();
+      _M_real = __r;
+      return *this;
+    }
+  template<typename _Tp>
+    template<typename _Up>
+    complex<_Tp>&
+    complex<_Tp>::operator/=(const complex<_Up>& __z)
+    {
+      const _Tp __r = _M_real * __z.real() + _M_imag * __z.imag();
+      const _Tp __n = std::norm(__z);
+      _M_imag = (_M_imag * __z.real() - _M_real * __z.imag()) / __n;
+      _M_real = __r / __n;
+      return *this;
+    }
+  template<typename _Tp>
+    inline const complex<_Tp>&
+    complex<_Tp>::__rep() const { return *this; }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r += __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator+(const complex<_Tp>& __x, const _Tp& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r.real() += __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator+(const _Tp& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __y;
+      __r.real() += __x;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r -= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator-(const complex<_Tp>& __x, const _Tp& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r.real() -= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator-(const _Tp& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r(__x, -__y.imag());
+      __r.real() -= __y.real();
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator*(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r *= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator*(const complex<_Tp>& __x, const _Tp& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r *= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator*(const _Tp& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __y;
+      __r *= __x;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator/(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r /= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator/(const complex<_Tp>& __x, const _Tp& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r /= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator/(const _Tp& __x, const complex<_Tp>& __y)
+    {
+      complex<_Tp> __r = __x;
+      __r /= __y;
+      return __r;
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator+(const complex<_Tp>& __x)
+    { return __x; }
+  template<typename _Tp>
+    inline complex<_Tp>
+    operator-(const complex<_Tp>& __x)
+    { return complex<_Tp>(-__x.real(), -__x.imag()); }
+  template<typename _Tp>
+    inline bool
+    operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    { return __x.real() == __y.real() && __x.imag() == __y.imag(); }
+  template<typename _Tp>
+    inline bool
+    operator==(const complex<_Tp>& __x, const _Tp& __y)
+    { return __x.real() == __y && __x.imag() == _Tp(); }
+  template<typename _Tp>
+    inline bool
+    operator==(const _Tp& __x, const complex<_Tp>& __y)
+    { return __x == __y.real() && _Tp() == __y.imag(); }
+  template<typename _Tp>
+    inline bool
+    operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    { return __x.real() != __y.real() || __x.imag() != __y.imag(); }
+  template<typename _Tp>
+    inline bool
+    operator!=(const complex<_Tp>& __x, const _Tp& __y)
+    { return __x.real() != __y || __x.imag() != _Tp(); }
+  template<typename _Tp>
+    inline bool
+    operator!=(const _Tp& __x, const complex<_Tp>& __y)
+    { return __x != __y.real() || _Tp() != __y.imag(); }
+  template<typename _Tp, typename _CharT, class _Traits>
+    basic_istream<_CharT, _Traits>&
+    operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
+    {
+      _Tp __re_x, __im_x;
+      _CharT __ch;
+      __is >> __ch;
+      if (__ch == '(')
+ {
+   __is >> __re_x >> __ch;
+   if (__ch == ',')
+     {
+       __is >> __im_x >> __ch;
+       if (__ch == ')')
+  __x = complex<_Tp>(__re_x, __im_x);
+       else
+  __is.setstate(ios_base::failbit);
+     }
+   else if (__ch == ')')
+     __x = __re_x;
+   else
+     __is.setstate(ios_base::failbit);
+ }
+      else
+ {
+   __is.putback(__ch);
+   __is >> __re_x;
+   __x = __re_x;
+ }
+      return __is;
+    }
+  template<typename _Tp, typename _CharT, class _Traits>
+    basic_ostream<_CharT, _Traits>&
+    operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x)
+    {
+      basic_ostringstream<_CharT, _Traits> __s;
+      __s.flags(__os.flags());
+      __s.imbue(__os.getloc());
+      __s.precision(__os.precision());
+      __s << '(' << __x.real() << ',' << __x.imag() << ')';
+      return __os << __s.str();
+    }
+  template<typename _Tp>
+    inline _Tp&
+    real(complex<_Tp>& __z)
+    { return __z.real(); }
+  template<typename _Tp>
+    inline const _Tp&
+    real(const complex<_Tp>& __z)
+    { return __z.real(); }
+  template<typename _Tp>
+    inline _Tp&
+    imag(complex<_Tp>& __z)
+    { return __z.imag(); }
+  template<typename _Tp>
+    inline const _Tp&
+    imag(const complex<_Tp>& __z)
+    { return __z.imag(); }
+  template<typename _Tp>
+    inline _Tp
+    __complex_abs(const complex<_Tp>& __z)
+    {
+      _Tp __x = __z.real();
+      _Tp __y = __z.imag();
+      const _Tp __s = std::max(abs(__x), abs(__y));
+      if (__s == _Tp())
+        return __s;
+      __x /= __s;
+      __y /= __s;
+      return __s * sqrt(__x * __x + __y * __y);
+    }
+  template<typename _Tp>
+    inline _Tp
+    abs(const complex<_Tp>& __z) { return __complex_abs(__z); }
+  template<typename _Tp>
+    inline _Tp
+    __complex_arg(const complex<_Tp>& __z)
+    { return atan2(__z.imag(), __z.real()); }
+  template<typename _Tp>
+    inline _Tp
+    arg(const complex<_Tp>& __z) { return __complex_arg(__z); }
+  template<bool>
+    struct _Norm_helper
+    {
+      template<typename _Tp>
+        static inline _Tp _S_do_it(const complex<_Tp>& __z)
+        {
+          const _Tp __x = __z.real();
+          const _Tp __y = __z.imag();
+          return __x * __x + __y * __y;
+        }
+    };
+  template<>
+    struct _Norm_helper<true>
+    {
+      template<typename _Tp>
+        static inline _Tp _S_do_it(const complex<_Tp>& __z)
+        {
+          _Tp __res = std::abs(__z);
+          return __res * __res;
+        }
+    };
+  template<typename _Tp>
+    inline _Tp
+    norm(const complex<_Tp>& __z)
+    {
+      return _Norm_helper<__is_floating<_Tp>::__value
+ && !0>::_S_do_it(__z);
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    polar(const _Tp& __rho, const _Tp& __theta)
+    { return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta)); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    conj(const complex<_Tp>& __z)
+    { return complex<_Tp>(__z.real(), -__z.imag()); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_cos(const complex<_Tp>& __z)
+    {
+      const _Tp __x = __z.real();
+      const _Tp __y = __z.imag();
+      return complex<_Tp>(cos(__x) * cosh(__y), -sin(__x) * sinh(__y));
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    cos(const complex<_Tp>& __z) { return __complex_cos(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_cosh(const complex<_Tp>& __z)
+    {
+      const _Tp __x = __z.real();
+      const _Tp __y = __z.imag();
+      return complex<_Tp>(cosh(__x) * cos(__y), sinh(__x) * sin(__y));
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    cosh(const complex<_Tp>& __z) { return __complex_cosh(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_exp(const complex<_Tp>& __z)
+    { return std::polar(exp(__z.real()), __z.imag()); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    exp(const complex<_Tp>& __z) { return __complex_exp(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_log(const complex<_Tp>& __z)
+    { return complex<_Tp>(log(std::abs(__z)), std::arg(__z)); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    log(const complex<_Tp>& __z) { return __complex_log(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    log10(const complex<_Tp>& __z)
+    { return std::log(__z) / log(_Tp(10.0)); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_sin(const complex<_Tp>& __z)
+    {
+      const _Tp __x = __z.real();
+      const _Tp __y = __z.imag();
+      return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    sin(const complex<_Tp>& __z) { return __complex_sin(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_sinh(const complex<_Tp>& __z)
+    {
+      const _Tp __x = __z.real();
+      const _Tp __y = __z.imag();
+      return complex<_Tp>(sinh(__x) * cos(__y), cosh(__x) * sin(__y));
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    sinh(const complex<_Tp>& __z) { return __complex_sinh(__z); }
+  template<typename _Tp>
+    complex<_Tp>
+    __complex_sqrt(const complex<_Tp>& __z)
+    {
+      _Tp __x = __z.real();
+      _Tp __y = __z.imag();
+      if (__x == _Tp())
+        {
+          _Tp __t = sqrt(abs(__y) / 2);
+          return complex<_Tp>(__t, __y < _Tp() ? -__t : __t);
+        }
+      else
+        {
+          _Tp __t = sqrt(2 * (std::abs(__z) + abs(__x)));
+          _Tp __u = __t / 2;
+          return __x > _Tp()
+            ? complex<_Tp>(__u, __y / __t)
+            : complex<_Tp>(abs(__y) / __t, __y < _Tp() ? -__u : __u);
+        }
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_tan(const complex<_Tp>& __z)
+    { return std::sin(__z) / std::cos(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    tan(const complex<_Tp>& __z) { return __complex_tan(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_tanh(const complex<_Tp>& __z)
+    { return std::sinh(__z) / std::cosh(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    tanh(const complex<_Tp>& __z) { return __complex_tanh(__z); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    pow(const complex<_Tp>& __z, int __n)
+    { return std::__pow_helper(__z, __n); }
+  template<typename _Tp>
+    complex<_Tp>
+    pow(const complex<_Tp>& __x, const _Tp& __y)
+    {
+      if (__x == _Tp())
+ return _Tp();
+      if (__x.imag() == _Tp() && __x.real() > _Tp())
+        return pow(__x.real(), __y);
+      complex<_Tp> __t = std::log(__x);
+      return std::polar(exp(__y * __t.real()), __y * __t.imag());
+    }
+  template<typename _Tp>
+    inline complex<_Tp>
+    __complex_pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    { return __x == _Tp() ? _Tp() : std::exp(__y * std::log(__x)); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
+    { return __complex_pow(__x, __y); }
+  template<typename _Tp>
+    inline complex<_Tp>
+    pow(const _Tp& __x, const complex<_Tp>& __y)
+    {
+      return __x > _Tp() ? std::polar(pow(__x, __y.real()),
+          __y.imag() * log(__x))
+                  : std::pow(complex<_Tp>(__x, _Tp()), __y);
+    }
+  template<>
+    struct complex<float>
+    {
+      typedef float value_type;
+      typedef __complex__ float _ComplexT;
+      complex(_ComplexT __z) : _M_value(__z) { }
+      complex(float = 0.0f, float = 0.0f);
+      explicit complex(const complex<double>&);
+      explicit complex(const complex<long double>&);
+      float& real();
+      const float& real() const;
+      float& imag();
+      const float& imag() const;
+      complex<float>& operator=(float);
+      complex<float>& operator+=(float);
+      complex<float>& operator-=(float);
+      complex<float>& operator*=(float);
+      complex<float>& operator/=(float);
+      template<typename _Tp>
+        complex<float>&operator=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<float>& operator+=(const complex<_Tp>&);
+      template<class _Tp>
+        complex<float>& operator-=(const complex<_Tp>&);
+      template<class _Tp>
+        complex<float>& operator*=(const complex<_Tp>&);
+      template<class _Tp>
+        complex<float>&operator/=(const complex<_Tp>&);
+      const _ComplexT& __rep() const { return _M_value; }
+    private:
+      _ComplexT _M_value;
+    };
+  inline float&
+  complex<float>::real()
+  { return __real__ _M_value; }
+  inline const float&
+  complex<float>::real() const
+  { return __real__ _M_value; }
+  inline float&
+  complex<float>::imag()
+  { return __imag__ _M_value; }
+  inline const float&
+  complex<float>::imag() const
+  { return __imag__ _M_value; }
+  inline
+  complex<float>::complex(float __r, float __i)
+  {
+    __real__ _M_value = __r;
+    __imag__ _M_value = __i;
+  }
+  inline complex<float>&
+  complex<float>::operator=(float __f)
+  {
+    __real__ _M_value = __f;
+    __imag__ _M_value = 0.0f;
+    return *this;
+  }
+  inline complex<float>&
+  complex<float>::operator+=(float __f)
+  {
+    __real__ _M_value += __f;
+    return *this;
+  }
+  inline complex<float>&
+  complex<float>::operator-=(float __f)
+  {
+    __real__ _M_value -= __f;
+    return *this;
+  }
+  inline complex<float>&
+  complex<float>::operator*=(float __f)
+  {
+    _M_value *= __f;
+    return *this;
+  }
+  inline complex<float>&
+  complex<float>::operator/=(float __f)
+  {
+    _M_value /= __f;
+    return *this;
+  }
+  template<typename _Tp>
+  inline complex<float>&
+  complex<float>::operator=(const complex<_Tp>& __z)
+  {
+    __real__ _M_value = __z.real();
+    __imag__ _M_value = __z.imag();
+    return *this;
+  }
+  template<typename _Tp>
+  inline complex<float>&
+  complex<float>::operator+=(const complex<_Tp>& __z)
+  {
+    __real__ _M_value += __z.real();
+    __imag__ _M_value += __z.imag();
+    return *this;
+  }
+  template<typename _Tp>
+    inline complex<float>&
+    complex<float>::operator-=(const complex<_Tp>& __z)
+    {
+     __real__ _M_value -= __z.real();
+     __imag__ _M_value -= __z.imag();
+     return *this;
+    }
+  template<typename _Tp>
+    inline complex<float>&
+    complex<float>::operator*=(const complex<_Tp>& __z)
+    {
+      _ComplexT __t;
+      __real__ __t = __z.real();
+      __imag__ __t = __z.imag();
+      _M_value *= __t;
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<float>&
+    complex<float>::operator/=(const complex<_Tp>& __z)
+    {
+      _ComplexT __t;
+      __real__ __t = __z.real();
+      __imag__ __t = __z.imag();
+      _M_value /= __t;
+      return *this;
+    }
+  template<>
+    struct complex<double>
+    {
+      typedef double value_type;
+      typedef __complex__ double _ComplexT;
+      complex(_ComplexT __z) : _M_value(__z) { }
+      complex(double = 0.0, double = 0.0);
+      complex(const complex<float>&);
+      explicit complex(const complex<long double>&);
+      double& real();
+      const double& real() const;
+      double& imag();
+      const double& imag() const;
+      complex<double>& operator=(double);
+      complex<double>& operator+=(double);
+      complex<double>& operator-=(double);
+      complex<double>& operator*=(double);
+      complex<double>& operator/=(double);
+      template<typename _Tp>
+        complex<double>& operator=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<double>& operator+=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<double>& operator-=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<double>& operator*=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<double>& operator/=(const complex<_Tp>&);
+      const _ComplexT& __rep() const { return _M_value; }
+    private:
+      _ComplexT _M_value;
+    };
+  inline double&
+  complex<double>::real()
+  { return __real__ _M_value; }
+  inline const double&
+  complex<double>::real() const
+  { return __real__ _M_value; }
+  inline double&
+  complex<double>::imag()
+  { return __imag__ _M_value; }
+  inline const double&
+  complex<double>::imag() const
+  { return __imag__ _M_value; }
+  inline
+  complex<double>::complex(double __r, double __i)
+  {
+    __real__ _M_value = __r;
+    __imag__ _M_value = __i;
+  }
+  inline complex<double>&
+  complex<double>::operator=(double __d)
+  {
+    __real__ _M_value = __d;
+    __imag__ _M_value = 0.0;
+    return *this;
+  }
+  inline complex<double>&
+  complex<double>::operator+=(double __d)
+  {
+    __real__ _M_value += __d;
+    return *this;
+  }
+  inline complex<double>&
+  complex<double>::operator-=(double __d)
+  {
+    __real__ _M_value -= __d;
+    return *this;
+  }
+  inline complex<double>&
+  complex<double>::operator*=(double __d)
+  {
+    _M_value *= __d;
+    return *this;
+  }
+  inline complex<double>&
+  complex<double>::operator/=(double __d)
+  {
+    _M_value /= __d;
+    return *this;
+  }
+  template<typename _Tp>
+    inline complex<double>&
+    complex<double>::operator=(const complex<_Tp>& __z)
+    {
+      __real__ _M_value = __z.real();
+      __imag__ _M_value = __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<double>&
+    complex<double>::operator+=(const complex<_Tp>& __z)
+    {
+      __real__ _M_value += __z.real();
+      __imag__ _M_value += __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<double>&
+    complex<double>::operator-=(const complex<_Tp>& __z)
+    {
+      __real__ _M_value -= __z.real();
+      __imag__ _M_value -= __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<double>&
+    complex<double>::operator*=(const complex<_Tp>& __z)
+    {
+      _ComplexT __t;
+      __real__ __t = __z.real();
+      __imag__ __t = __z.imag();
+      _M_value *= __t;
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<double>&
+    complex<double>::operator/=(const complex<_Tp>& __z)
+    {
+      _ComplexT __t;
+      __real__ __t = __z.real();
+      __imag__ __t = __z.imag();
+      _M_value /= __t;
+      return *this;
+    }
+  template<>
+    struct complex<long double>
+    {
+      typedef long double value_type;
+      typedef __complex__ long double _ComplexT;
+      complex(_ComplexT __z) : _M_value(__z) { }
+      complex(long double = 0.0L, long double = 0.0L);
+      complex(const complex<float>&);
+      complex(const complex<double>&);
+      long double& real();
+      const long double& real() const;
+      long double& imag();
+      const long double& imag() const;
+      complex<long double>& operator= (long double);
+      complex<long double>& operator+= (long double);
+      complex<long double>& operator-= (long double);
+      complex<long double>& operator*= (long double);
+      complex<long double>& operator/= (long double);
+      template<typename _Tp>
+        complex<long double>& operator=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<long double>& operator+=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<long double>& operator-=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<long double>& operator*=(const complex<_Tp>&);
+      template<typename _Tp>
+        complex<long double>& operator/=(const complex<_Tp>&);
+      const _ComplexT& __rep() const { return _M_value; }
+    private:
+      _ComplexT _M_value;
+    };
+  inline
+  complex<long double>::complex(long double __r, long double __i)
+  {
+    __real__ _M_value = __r;
+    __imag__ _M_value = __i;
+  }
+  inline long double&
+  complex<long double>::real()
+  { return __real__ _M_value; }
+  inline const long double&
+  complex<long double>::real() const
+  { return __real__ _M_value; }
+  inline long double&
+  complex<long double>::imag()
+  { return __imag__ _M_value; }
+  inline const long double&
+  complex<long double>::imag() const
+  { return __imag__ _M_value; }
+  inline complex<long double>&
+  complex<long double>::operator=(long double __r)
+  {
+    __real__ _M_value = __r;
+    __imag__ _M_value = 0.0L;
+    return *this;
+  }
+  inline complex<long double>&
+  complex<long double>::operator+=(long double __r)
+  {
+    __real__ _M_value += __r;
+    return *this;
+  }
+  inline complex<long double>&
+  complex<long double>::operator-=(long double __r)
+  {
+    __real__ _M_value -= __r;
+    return *this;
+  }
+  inline complex<long double>&
+  complex<long double>::operator*=(long double __r)
+  {
+    _M_value *= __r;
+    return *this;
+  }
+  inline complex<long double>&
+  complex<long double>::operator/=(long double __r)
+  {
+    _M_value /= __r;
+    return *this;
+  }
+  template<typename _Tp>
+    inline complex<long double>&
+    complex<long double>::operator=(const complex<_Tp>& __z)
+    {
+      __real__ _M_value = __z.real();
+      __imag__ _M_value = __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<long double>&
+    complex<long double>::operator+=(const complex<_Tp>& __z)
+    {
+      __real__ _M_value += __z.real();
+      __imag__ _M_value += __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<long double>&
+    complex<long double>::operator-=(const complex<_Tp>& __z)
+    {
+      __real__ _M_value -= __z.real();
+      __imag__ _M_value -= __z.imag();
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<long double>&
+    complex<long double>::operator*=(const complex<_Tp>& __z)
+    {
+      _ComplexT __t;
+      __real__ __t = __z.real();
+      __imag__ __t = __z.imag();
+      _M_value *= __t;
+      return *this;
+    }
+  template<typename _Tp>
+    inline complex<long double>&
+    complex<long double>::operator/=(const complex<_Tp>& __z)
+    {
+      _ComplexT __t;
+      __real__ __t = __z.real();
+      __imag__ __t = __z.imag();
+      _M_value /= __t;
+      return *this;
+    }
+  inline
+  complex<float>::complex(const complex<double>& __z)
+  : _M_value(__z.__rep()) { }
+  inline
+  complex<float>::complex(const complex<long double>& __z)
+  : _M_value(__z.__rep()) { }
+  inline
+  complex<double>::complex(const complex<float>& __z)
+  : _M_value(__z.__rep()) { }
+  inline
+  complex<double>::complex(const complex<long double>& __z)
+  : _M_value(__z.__rep()) { }
+  inline
+  complex<long double>::complex(const complex<float>& __z)
+  : _M_value(__z.__rep()) { }
+  inline
+  complex<long double>::complex(const complex<double>& __z)
+  : _M_value(__z.__rep()) { }
+  extern template istream& operator>>(istream&, complex<float>&);
+  extern template ostream& operator<<(ostream&, const complex<float>&);
+  extern template istream& operator>>(istream&, complex<double>&);
+  extern template ostream& operator<<(ostream&, const complex<double>&);
+  extern template istream& operator>>(istream&, complex<long double>&);
+  extern template ostream& operator<<(ostream&, const complex<long double>&);
+  extern template wistream& operator>>(wistream&, complex<float>&);
+  extern template wostream& operator<<(wostream&, const complex<float>&);
+  extern template wistream& operator>>(wistream&, complex<double>&);
+  extern template wostream& operator<<(wostream&, const complex<double>&);
+  extern template wistream& operator>>(wistream&, complex<long double>&);
+  extern template wostream& operator<<(wostream&, const complex<long double>&);
+}
+namespace __gnu_cxx {
+  template<typename _Tp, typename _Up>
+    struct __promote_2<std::complex<_Tp>, _Up>
+    {
+    public:
+      typedef std::complex<typename __promote_2<_Tp, _Up>::__type> __type;
+    };
+  template<typename _Tp, typename _Up>
+    struct __promote_2<_Tp, std::complex<_Up> >
+    {
+    public:
+      typedef std::complex<typename __promote_2<_Tp, _Up>::__type> __type;
+    };
+  template<typename _Tp, typename _Up>
+    struct __promote_2<std::complex<_Tp>, std::complex<_Up> >
+    {
+    public:
+      typedef std::complex<typename __promote_2<_Tp, _Up>::__type> __type;
+    };
+}
+namespace boost {
+namespace detail{
+struct is_convertible_from_tester
+{
+   template <class T>
+   is_convertible_from_tester(const std::complex<T>&);
+};
+}
+template< typename T > struct is_complex : ::boost::integral_constant<bool,(::boost::is_convertible<T, detail::is_convertible_from_tester>::value)> { };
+}
+namespace boost { namespace local { namespace aux {
+template<typename F, unsigned int defaults_count = 0>
+struct function_base {};
+template<typename R
+       
+        >
+struct function_base<
+        R (),
+        0> {
+    virtual R operator()() = 0;
+};
+template<typename R
+        ,
+        typename A0>
+struct function_base<
+        R ( A0),
+        0> {
+    virtual R operator()( A0) = 0;
+};
+template<typename R
+        ,
+        typename A0>
+struct function_base<
+        R ( A0),
+        1> {
+    virtual R operator()( A0) = 0; virtual R operator()() = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1>
+struct function_base<
+        R ( A0 , A1),
+        0> {
+    virtual R operator()( A0 , A1) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1>
+struct function_base<
+        R ( A0 , A1),
+        1> {
+    virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1>
+struct function_base<
+        R ( A0 , A1),
+        2> {
+    virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0; virtual R operator()() = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+struct function_base<
+        R ( A0 , A1 , A2),
+        0> {
+    virtual R operator()( A0 , A1 , A2) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+struct function_base<
+        R ( A0 , A1 , A2),
+        1> {
+    virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+struct function_base<
+        R ( A0 , A1 , A2),
+        2> {
+    virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+struct function_base<
+        R ( A0 , A1 , A2),
+        3> {
+    virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0; virtual R operator()() = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+struct function_base<
+        R ( A0 , A1 , A2 , A3),
+        0> {
+    virtual R operator()( A0 , A1 , A2 , A3) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+struct function_base<
+        R ( A0 , A1 , A2 , A3),
+        1> {
+    virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+struct function_base<
+        R ( A0 , A1 , A2 , A3),
+        2> {
+    virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+struct function_base<
+        R ( A0 , A1 , A2 , A3),
+        3> {
+    virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+struct function_base<
+        R ( A0 , A1 , A2 , A3),
+        4> {
+    virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0; virtual R operator()() = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+struct function_base<
+        R ( A0 , A1 , A2 , A3 , A4),
+        0> {
+    virtual R operator()( A0 , A1 , A2 , A3 , A4) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+struct function_base<
+        R ( A0 , A1 , A2 , A3 , A4),
+        1> {
+    virtual R operator()( A0 , A1 , A2 , A3 , A4) = 0; virtual R operator()( A0 , A1 , A2 , A3) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+struct function_base<
+        R ( A0 , A1 , A2 , A3 , A4),
+        2> {
+    virtual R operator()( A0 , A1 , A2 , A3 , A4) = 0; virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+struct function_base<
+        R ( A0 , A1 , A2 , A3 , A4),
+        3> {
+    virtual R operator()( A0 , A1 , A2 , A3 , A4) = 0; virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+struct function_base<
+        R ( A0 , A1 , A2 , A3 , A4),
+        4> {
+    virtual R operator()( A0 , A1 , A2 , A3 , A4) = 0; virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0;
+};
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+struct function_base<
+        R ( A0 , A1 , A2 , A3 , A4),
+        5> {
+    virtual R operator()( A0 , A1 , A2 , A3 , A4) = 0; virtual R operator()( A0 , A1 , A2 , A3) = 0; virtual R operator()( A0 , A1 , A2) = 0; virtual R operator()( A0 , A1) = 0; virtual R operator()( A0) = 0; virtual R operator()() = 0;
+};
+}}}
+namespace boost { namespace local {
+template<typename F, size_t defaults = 0>
+struct function_ref {};
+}}
+namespace boost { namespace local {
+template<typename R
+       
+        >
+class function_ref<
+        R (),
+        0> {
+    typedef aux::function_base<
+          R (
+           
+          )
+        , 0
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()() { return ref_(); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0>
+class function_ref<
+        R ( A0),
+        0> {
+    typedef aux::function_base<
+          R (
+            A0
+          )
+        , 0
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0) { return ref_( a0); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0>
+class function_ref<
+        R ( A0),
+        1> {
+    typedef aux::function_base<
+          R (
+            A0
+          )
+        , 1
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0) { return ref_( a0); } inline R operator()() { return ref_(); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1>
+class function_ref<
+        R ( A0 , A1),
+        0> {
+    typedef aux::function_base<
+          R (
+            A0 , A1
+          )
+        , 0
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1>
+class function_ref<
+        R ( A0 , A1),
+        1> {
+    typedef aux::function_base<
+          R (
+            A0 , A1
+          )
+        , 1
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1>
+class function_ref<
+        R ( A0 , A1),
+        2> {
+    typedef aux::function_base<
+          R (
+            A0 , A1
+          )
+        , 2
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); } inline R operator()() { return ref_(); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+class function_ref<
+        R ( A0 , A1 , A2),
+        0> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2
+          )
+        , 0
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+class function_ref<
+        R ( A0 , A1 , A2),
+        1> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2
+          )
+        , 1
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+class function_ref<
+        R ( A0 , A1 , A2),
+        2> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2
+          )
+        , 2
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2>
+class function_ref<
+        R ( A0 , A1 , A2),
+        3> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2
+          )
+        , 3
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); } inline R operator()() { return ref_(); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+class function_ref<
+        R ( A0 , A1 , A2 , A3),
+        0> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3
+          )
+        , 0
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+class function_ref<
+        R ( A0 , A1 , A2 , A3),
+        1> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3
+          )
+        , 1
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+class function_ref<
+        R ( A0 , A1 , A2 , A3),
+        2> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3
+          )
+        , 2
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+class function_ref<
+        R ( A0 , A1 , A2 , A3),
+        3> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3
+          )
+        , 3
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3>
+class function_ref<
+        R ( A0 , A1 , A2 , A3),
+        4> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3
+          )
+        , 4
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); } inline R operator()() { return ref_(); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+class function_ref<
+        R ( A0 , A1 , A2 , A3 , A4),
+        0> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3 , A4
+          )
+        , 0
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3 , A4 a4) { return ref_( a0 , a1 , a2 , a3 , a4); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+class function_ref<
+        R ( A0 , A1 , A2 , A3 , A4),
+        1> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3 , A4
+          )
+        , 1
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3 , A4 a4) { return ref_( a0 , a1 , a2 , a3 , a4); } inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+class function_ref<
+        R ( A0 , A1 , A2 , A3 , A4),
+        2> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3 , A4
+          )
+        , 2
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3 , A4 a4) { return ref_( a0 , a1 , a2 , a3 , a4); } inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+class function_ref<
+        R ( A0 , A1 , A2 , A3 , A4),
+        3> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3 , A4
+          )
+        , 3
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3 , A4 a4) { return ref_( a0 , a1 , a2 , a3 , a4); } inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+class function_ref<
+        R ( A0 , A1 , A2 , A3 , A4),
+        4> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3 , A4
+          )
+        , 4
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3 , A4 a4) { return ref_( a0 , a1 , a2 , a3 , a4); } inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace local {
+template<typename R
+        ,
+        typename A0 , typename A1 , typename A2 , typename A3 , typename A4>
+class function_ref<
+        R ( A0 , A1 , A2 , A3 , A4),
+        5> {
+    typedef aux::function_base<
+          R (
+            A0 , A1 , A2 , A3 , A4
+          )
+        , 5
+    > base;
+public:
+                   function_ref(base& ref): ref_(ref) {}
+    function_ref& operator=(base& ref) {
+        ref_ = ref;
+        return *this;
+    }
+    inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3 , A4 a4) { return ref_( a0 , a1 , a2 , a3 , a4); } inline R operator()( A0 a0 , A1 a1 , A2 a2 , A3 a3) { return ref_( a0 , a1 , a2 , a3); } inline R operator()( A0 a0 , A1 a1 , A2 a2) { return ref_( a0 , a1 , a2); } inline R operator()( A0 a0 , A1 a1) { return ref_( a0 , a1); } inline R operator()( A0 a0) { return ref_( a0); } inline R operator()() { return ref_(); }
+private:
+    base& ref_;
+};
+}}
+namespace boost { namespace mpl { namespace aux {
+template< typename T > struct nested_type_wknd
+    : T::type
+{
+};
+}}}
+namespace boost { namespace mpl {
+namespace aux {
+template< long C_ >
+struct not_impl
+    : bool_<!C_>
+{
+};
+}
+template<
+      typename T = na
+    >
+struct not_
+    : aux::not_impl<
+          ::boost::mpl::aux::nested_type_wknd<T>::value
+        >
+{
+   
+};
+template<> struct not_< na > { template< typename T1 , typename T2 =na , typename T3 =na , typename T4 =na , typename T5 =na > struct apply : not_< T1 > { }; }; template< typename Tag > struct lambda< not_< na > , Tag , int_<-1> > { typedef false_ is_le; typedef not_< na > result_; typedef not_< na > type; }; namespace aux { template< typename T1 > struct template_arity< not_< T1 > > : int_<1> { }; template<> struct template_arity< not_< na > > : int_<-1> { }; }
+}}
+namespace boost { namespace mpl { namespace aux {
+typedef char (&no_tag)[1];
+typedef char (&yes_tag)[2];
+template< bool C_ > struct yes_no_tag
+{
+    typedef no_tag type;
+};
+template<> struct yes_no_tag<true>
+{
+    typedef yes_tag type;
+};
+template< long n > struct weighted_tag
+{
+    typedef char (&type)[n];
+};
+}}}
+       
+namespace mpl_ {
+struct failed {};
+template< bool C > struct assert { typedef void* type; };
+template<> struct assert<false> { typedef assert type; };
+template< bool C >
+int assertion_failed( typename assert<C>::type );
+template< bool C >
+struct assertion
+{
+    static int failed( assert<false> );
+};
+template<>
+struct assertion<true>
+{
+    static int failed( void* );
+};
+struct assert_
+{
+    template< typename T1, typename T2 = na, typename T3 = na, typename T4 = na > struct types {};
+    static assert_ const arg;
+    enum relations { equal = 1, not_equal, greater, greater_equal, less, less_equal };
+};
+boost::mpl::aux::weighted_tag<1>::type operator==( assert_, assert_ );
+boost::mpl::aux::weighted_tag<2>::type operator!=( assert_, assert_ );
+boost::mpl::aux::weighted_tag<3>::type operator>( assert_, assert_ );
+boost::mpl::aux::weighted_tag<4>::type operator>=( assert_, assert_ );
+boost::mpl::aux::weighted_tag<5>::type operator<( assert_, assert_ );
+boost::mpl::aux::weighted_tag<6>::type operator<=( assert_, assert_ );
+template< assert_::relations r, long x, long y > struct assert_relation {};
+template< bool > struct assert_arg_pred_impl { typedef int type; };
+template<> struct assert_arg_pred_impl<true> { typedef void* type; };
+template< typename P > struct assert_arg_pred
+{
+    typedef typename P::type p_type;
+    typedef typename assert_arg_pred_impl< p_type::value >::type type;
+};
+template< typename P > struct assert_arg_pred_not
+{
+    typedef typename P::type p_type;
+    enum { p = !p_type::value };
+    typedef typename assert_arg_pred_impl<p>::type type;
+};
+template< typename Pred >
+failed ************ (Pred::************
+      assert_arg( void (*)(Pred), typename assert_arg_pred<Pred>::type )
+    );
+template< typename Pred >
+failed ************ (boost::mpl::not_<Pred>::************
+      assert_not_arg( void (*)(Pred), typename assert_arg_pred_not<Pred>::type )
+    );
+template< typename Pred >
+assert<false>
+assert_arg( void (*)(Pred), typename assert_arg_pred_not<Pred>::type );
+template< typename Pred >
+assert<false>
+assert_not_arg( void (*)(Pred), typename assert_arg_pred<Pred>::type );
+}
+extern boost::scope_exit::aux::undeclared
+        boost_local_auxXargs;
+       
+namespace std {
+  extern istream cin;
+  extern ostream cout;
+  extern ostream cerr;
+  extern ostream clog;
+  extern wistream wcin;
+  extern wostream wcout;
+  extern wostream wcerr;
+  extern wostream wclog;
+  static ios_base::Init __ioinit;
+}
+       
+       
+       
+extern "C" {
+char *mkdtemp (char *);
+}
+extern "C"
+{
+const char *getprogname (void);
+void setprogname (const char *);
+char *realpath (const char *, char *);
+char *canonicalize_file_name (const char *);
+int unsetenv (const char *);
+char *initstate (unsigned seed, char *state, size_t size);
+long random (void);
+char *setstate (const char *state);
+void srandom (unsigned);
+char *ptsname (int);
+int grantpt (int);
+int unlockpt (int);
+int posix_openpt (int);
+int posix_memalign (void **, size_t, size_t);
+extern void * memalign (size_t, size_t);
+extern void * valloc (size_t);
+}
+extern "C" {
+typedef struct
+{
+  int quot;
+  int rem;
+} div_t;
+typedef struct
+{
+  long quot;
+  long rem;
+} ldiv_t;
+typedef struct
+{
+  long long int quot;
+  long long int rem;
+} lldiv_t;
+extern __attribute__((dllimport)) int __mb_cur_max;
+void __attribute__((__cdecl__)) abort (void) __attribute__ ((noreturn));
+int __attribute__((__cdecl__)) abs (int);
+int __attribute__((__cdecl__)) atexit (void (*__func)(void));
+double __attribute__((__cdecl__)) atof (const char *__nptr);
+float __attribute__((__cdecl__)) atoff (const char *__nptr);
+int __attribute__((__cdecl__)) atoi (const char *__nptr);
+int __attribute__((__cdecl__)) _atoi_r (struct _reent *, const char *__nptr);
+long __attribute__((__cdecl__)) atol (const char *__nptr);
+long __attribute__((__cdecl__)) _atol_r (struct _reent *, const char *__nptr);
+void * __attribute__((__cdecl__)) bsearch (const void * __key, const void * __base, size_t __nmemb, size_t __size, int (__attribute__((__cdecl__)) * _compar) (const void *, const void *));
+void * __attribute__((__cdecl__)) calloc (size_t __nmemb, size_t __size) __attribute__ ((nothrow));
+div_t __attribute__((__cdecl__)) div (int __numer, int __denom);
+void __attribute__((__cdecl__)) exit (int __status) __attribute__ ((noreturn));
+void __attribute__((__cdecl__)) free (void *) __attribute__ ((nothrow));
+char * __attribute__((__cdecl__)) getenv (const char *__string);
+char * __attribute__((__cdecl__)) _getenv_r (struct _reent *, const char *__string);
+char * __attribute__((__cdecl__)) _findenv (const char *, int *);
+char * __attribute__((__cdecl__)) _findenv_r (struct _reent *, const char *, int *);
+extern char *suboptarg;
+int __attribute__((__cdecl__)) getsubopt (char **, char * const *, char **);
+long __attribute__((__cdecl__)) labs (long);
+ldiv_t __attribute__((__cdecl__)) ldiv (long __numer, long __denom);
+void * __attribute__((__cdecl__)) malloc (size_t __size) __attribute__ ((nothrow));
+int __attribute__((__cdecl__)) mblen (const char *, size_t);
+int __attribute__((__cdecl__)) _mblen_r (struct _reent *, const char *, size_t, _mbstate_t *);
+int __attribute__((__cdecl__)) mbtowc (wchar_t *, const char *, size_t);
+int __attribute__((__cdecl__)) _mbtowc_r (struct _reent *, wchar_t *, const char *, size_t, _mbstate_t *);
+int __attribute__((__cdecl__)) wctomb (char *, wchar_t);
+int __attribute__((__cdecl__)) _wctomb_r (struct _reent *, char *, wchar_t, _mbstate_t *);
+size_t __attribute__((__cdecl__)) mbstowcs (wchar_t *, const char *, size_t);
+size_t __attribute__((__cdecl__)) _mbstowcs_r (struct _reent *, wchar_t *, const char *, size_t, _mbstate_t *);
+size_t __attribute__((__cdecl__)) wcstombs (char *, const wchar_t *, size_t);
+size_t __attribute__((__cdecl__)) _wcstombs_r (struct _reent *, char *, const wchar_t *, size_t, _mbstate_t *);
+char * __attribute__((__cdecl__)) mkdtemp (char *);
+int __attribute__((__cdecl__)) mkstemp (char *);
+int __attribute__((__cdecl__)) mkstemps (char *, int);
+char * __attribute__((__cdecl__)) mktemp (char *) __attribute__ ((warning ("the use of `mktemp' is dangerous; use `mkstemp' instead")));
+char * __attribute__((__cdecl__)) _mkdtemp_r (struct _reent *, char *);
+int __attribute__((__cdecl__)) _mkstemp_r (struct _reent *, char *);
+int __attribute__((__cdecl__)) _mkstemps_r (struct _reent *, char *, int);
+char * __attribute__((__cdecl__)) _mktemp_r (struct _reent *, char *) __attribute__ ((warning ("the use of `mktemp' is dangerous; use `mkstemp' instead")));
+void __attribute__((__cdecl__)) qsort (void * __base, size_t __nmemb, size_t __size, int(*_compar)(const void *, const void *));
+int __attribute__((__cdecl__)) rand (void);
+void * __attribute__((__cdecl__)) realloc (void * __r, size_t __size) __attribute__ ((nothrow));
+void * __attribute__((__cdecl__)) reallocf (void * __r, size_t __size);
+void __attribute__((__cdecl__)) srand (unsigned __seed);
+double __attribute__((__cdecl__)) strtod (const char *__n, char **__end_PTR);
+double __attribute__((__cdecl__)) _strtod_r (struct _reent *,const char *__n, char **__end_PTR);
+float __attribute__((__cdecl__)) strtof (const char *__n, char **__end_PTR);
+long __attribute__((__cdecl__)) strtol (const char *__n, char **__end_PTR, int __base);
+long __attribute__((__cdecl__)) _strtol_r (struct _reent *,const char *__n, char **__end_PTR, int __base);
+unsigned long __attribute__((__cdecl__)) strtoul (const char *__n, char **__end_PTR, int __base);
+unsigned long __attribute__((__cdecl__)) _strtoul_r (struct _reent *,const char *__n, char **__end_PTR, int __base);
+int __attribute__((__cdecl__)) system (const char *__string);
+long __attribute__((__cdecl__)) a64l (const char *__input);
+char * __attribute__((__cdecl__)) l64a (long __input);
+char * __attribute__((__cdecl__)) _l64a_r (struct _reent *,long __input);
+int __attribute__((__cdecl__)) on_exit (void (*__func)(int, void *),void * __arg);
+void __attribute__((__cdecl__)) _Exit (int __status) __attribute__ ((noreturn));
+int __attribute__((__cdecl__)) putenv (char *__string);
+int __attribute__((__cdecl__)) _putenv_r (struct _reent *, char *__string);
+void * __attribute__((__cdecl__)) _reallocf_r (struct _reent *, void *, size_t);
+int __attribute__((__cdecl__)) setenv (const char *__string, const char *__value, int __overwrite);
+int __attribute__((__cdecl__)) _setenv_r (struct _reent *, const char *__string, const char *__value, int __overwrite);
+char * __attribute__((__cdecl__)) gcvt (double,int,char *);
+char * __attribute__((__cdecl__)) gcvtf (float,int,char *);
+char * __attribute__((__cdecl__)) fcvt (double,int,int *,int *);
+char * __attribute__((__cdecl__)) fcvtf (float,int,int *,int *);
+char * __attribute__((__cdecl__)) ecvt (double,int,int *,int *);
+char * __attribute__((__cdecl__)) ecvtbuf (double, int, int*, int*, char *);
+char * __attribute__((__cdecl__)) fcvtbuf (double, int, int*, int*, char *);
+char * __attribute__((__cdecl__)) ecvtf (float,int,int *,int *);
+char * __attribute__((__cdecl__)) dtoa (double, int, int, int *, int*, char**);
+int __attribute__((__cdecl__)) rand_r (unsigned *__seed);
+double __attribute__((__cdecl__)) drand48 (void);
+double __attribute__((__cdecl__)) _drand48_r (struct _reent *);
+double __attribute__((__cdecl__)) erand48 (unsigned short [3]);
+double __attribute__((__cdecl__)) _erand48_r (struct _reent *, unsigned short [3]);
+long __attribute__((__cdecl__)) jrand48 (unsigned short [3]);
+long __attribute__((__cdecl__)) _jrand48_r (struct _reent *, unsigned short [3]);
+void __attribute__((__cdecl__)) lcong48 (unsigned short [7]);
+void __attribute__((__cdecl__)) _lcong48_r (struct _reent *, unsigned short [7]);
+long __attribute__((__cdecl__)) lrand48 (void);
+long __attribute__((__cdecl__)) _lrand48_r (struct _reent *);
+long __attribute__((__cdecl__)) mrand48 (void);
+long __attribute__((__cdecl__)) _mrand48_r (struct _reent *);
+long __attribute__((__cdecl__)) nrand48 (unsigned short [3]);
+long __attribute__((__cdecl__)) _nrand48_r (struct _reent *, unsigned short [3]);
+unsigned short *
+       __attribute__((__cdecl__)) seed48 (unsigned short [3]);
+unsigned short *
+       __attribute__((__cdecl__)) _seed48_r (struct _reent *, unsigned short [3]);
+void __attribute__((__cdecl__)) srand48 (long);
+void __attribute__((__cdecl__)) _srand48_r (struct _reent *, long);
+long long __attribute__((__cdecl__)) atoll (const char *__nptr);
+long long __attribute__((__cdecl__)) _atoll_r (struct _reent *, const char *__nptr);
+long long __attribute__((__cdecl__)) llabs (long long);
+lldiv_t __attribute__((__cdecl__)) lldiv (long long __numer, long long __denom);
+long long __attribute__((__cdecl__)) strtoll (const char *__n, char **__end_PTR, int __base);
+long long __attribute__((__cdecl__)) _strtoll_r (struct _reent *, const char *__n, char **__end_PTR, int __base);
+unsigned long long __attribute__((__cdecl__)) strtoull (const char *__n, char **__end_PTR, int __base);
+unsigned long long __attribute__((__cdecl__)) _strtoull_r (struct _reent *, const char *__n, char **__end_PTR, int __base);
+char * __attribute__((__cdecl__)) _dtoa_r (struct _reent *, double, int, int, int *, int*, char**);
+int __attribute__((__cdecl__)) _system_r (struct _reent *, const char *);
+void __attribute__((__cdecl__)) __eprintf (const char *, const char *, unsigned int, const char *);
+}
+namespace std {
+  using ::div_t;
+  using ::ldiv_t;
+  using ::abort;
+  using ::abs;
+  using ::atexit;
+  using ::atof;
+  using ::atoi;
+  using ::atol;
+  using ::bsearch;
+  using ::calloc;
+  using ::div;
+  using ::exit;
+  using ::free;
+  using ::getenv;
+  using ::labs;
+  using ::ldiv;
+  using ::malloc;
+  using ::mblen;
+  using ::mbstowcs;
+  using ::mbtowc;
+  using ::qsort;
+  using ::rand;
+  using ::realloc;
+  using ::srand;
+  using ::strtod;
+  using ::strtol;
+  using ::strtoul;
+  using ::system;
+  using ::wcstombs;
+  using ::wctomb;
+  inline long
+  abs(long __i) { return labs(__i); }
+  inline ldiv_t
+  div(long __i, long __j) { return ldiv(__i, __j); }
+}
+       
+namespace std {
+  template<typename _FIter, typename _Tp>
+    bool
+    binary_search(_FIter, _FIter, const _Tp&);
+  template<typename _FIter, typename _Tp, typename _Compare>
+    bool
+    binary_search(_FIter, _FIter, const _Tp&, _Compare);
+  template<typename _IIter, typename _OIter>
+    _OIter
+    copy(_IIter, _IIter, _OIter);
+  template<typename _BIter1, typename _BIter2>
+    _BIter2
+    copy_backward(_BIter1, _BIter1, _BIter2);
+  template<typename _FIter, typename _Tp>
+    pair<_FIter, _FIter>
+    equal_range(_FIter, _FIter, const _Tp&);
+  template<typename _FIter, typename _Tp, typename _Compare>
+    pair<_FIter, _FIter>
+    equal_range(_FIter, _FIter, const _Tp&, _Compare);
+  template<typename _FIter, typename _Tp>
+    void
+    fill(_FIter, _FIter, const _Tp&);
+  template<typename _OIter, typename _Size, typename _Tp>
+    _OIter
+    fill_n(_OIter, _Size, const _Tp&);
+  template<typename _FIter1, typename _FIter2>
+    _FIter1
+    find_end(_FIter1, _FIter1, _FIter2, _FIter2);
+  template<typename _FIter1, typename _FIter2, typename _BinaryPredicate>
+    _FIter1
+    find_end(_FIter1, _FIter1, _FIter2, _FIter2, _BinaryPredicate);
+  template<typename _IIter1, typename _IIter2>
+    bool
+    includes(_IIter1, _IIter1, _IIter2, _IIter2);
+  template<typename _IIter1, typename _IIter2, typename _Compare>
+    bool
+    includes(_IIter1, _IIter1, _IIter2, _IIter2, _Compare);
+  template<typename _BIter>
+    void
+    inplace_merge(_BIter, _BIter, _BIter);
+  template<typename _BIter, typename _Compare>
+    void
+    inplace_merge(_BIter, _BIter, _BIter, _Compare);
+  template<typename _FIter1, typename _FIter2>
+    void
+    iter_swap(_FIter1, _FIter2);
+  template<typename _FIter, typename _Tp>
+    _FIter
+    lower_bound(_FIter, _FIter, const _Tp&);
+  template<typename _FIter, typename _Tp, typename _Compare>
+    _FIter
+    lower_bound(_FIter, _FIter, const _Tp&, _Compare);
+  template<typename _RAIter>
+    void
+    make_heap(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    make_heap(_RAIter, _RAIter, _Compare);
+  template<typename _Tp>
+    const _Tp&
+    max(const _Tp&, const _Tp&);
+  template<typename _Tp, typename _Compare>
+    const _Tp&
+    max(const _Tp&, const _Tp&, _Compare);
+  template<typename _Tp>
+    const _Tp&
+    min(const _Tp&, const _Tp&);
+  template<typename _Tp, typename _Compare>
+    const _Tp&
+    min(const _Tp&, const _Tp&, _Compare);
+  template<typename _BIter>
+    bool
+    next_permutation(_BIter, _BIter);
+  template<typename _BIter, typename _Compare>
+    bool
+    next_permutation(_BIter, _BIter, _Compare);
+  template<typename _IIter, typename _RAIter>
+    _RAIter
+    partial_sort_copy(_IIter, _IIter, _RAIter, _RAIter);
+  template<typename _IIter, typename _RAIter, typename _Compare>
+    _RAIter
+    partial_sort_copy(_IIter, _IIter, _RAIter, _RAIter, _Compare);
+  template<typename _RAIter>
+    void
+    pop_heap(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    pop_heap(_RAIter, _RAIter, _Compare);
+  template<typename _BIter>
+    bool
+    prev_permutation(_BIter, _BIter);
+  template<typename _BIter, typename _Compare>
+    bool
+    prev_permutation(_BIter, _BIter, _Compare);
+  template<typename _RAIter>
+    void
+    push_heap(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    push_heap(_RAIter, _RAIter, _Compare);
+  template<typename _FIter, typename _Tp>
+    _FIter
+    remove(_FIter, _FIter, const _Tp&);
+  template<typename _FIter, typename _Predicate>
+    _FIter
+    remove_if(_FIter, _FIter, _Predicate);
+  template<typename _IIter, typename _OIter, typename _Tp>
+    _OIter
+    remove_copy(_IIter, _IIter, _OIter, const _Tp&);
+  template<typename _IIter, typename _OIter, typename _Predicate>
+    _OIter
+    remove_copy_if(_IIter, _IIter, _OIter, _Predicate);
+  template<typename _IIter, typename _OIter, typename _Tp>
+    _OIter
+    replace_copy(_IIter, _IIter, _OIter, const _Tp&, const _Tp&);
+  template<typename _Iter, typename _OIter, typename _Predicate, typename _Tp>
+    _OIter
+    replace_copy_if(_Iter, _Iter, _OIter, _Predicate, const _Tp&);
+  template<typename _BIter>
+    void
+    reverse(_BIter, _BIter);
+  template<typename _BIter, typename _OIter>
+    _OIter
+    reverse_copy(_BIter, _BIter, _OIter);
+  template<typename _FIter>
+    void
+    rotate(_FIter, _FIter, _FIter);
+  template<typename _FIter, typename _OIter>
+    _OIter
+    rotate_copy(_FIter, _FIter, _FIter, _OIter);
+  template<typename _RAIter>
+    void
+    sort_heap(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    sort_heap(_RAIter, _RAIter, _Compare);
+  template<typename _BIter, typename _Predicate>
+    _BIter
+    stable_partition(_BIter, _BIter, _Predicate);
+  template<typename _Tp>
+    void
+    swap(_Tp&, _Tp&);
+  template<typename _FIter1, typename _FIter2>
+    _FIter2
+    swap_ranges(_FIter1, _FIter1, _FIter2);
+  template<typename _FIter>
+    _FIter
+    unique(_FIter, _FIter);
+  template<typename _FIter, typename _BinaryPredicate>
+    _FIter
+    unique(_FIter, _FIter, _BinaryPredicate);
+  template<typename _FIter, typename _Tp>
+    _FIter
+    upper_bound(_FIter, _FIter, const _Tp&);
+  template<typename _FIter, typename _Tp, typename _Compare>
+    _FIter
+    upper_bound(_FIter, _FIter, const _Tp&, _Compare);
+}
+namespace std {
+  template<typename _FIter>
+    _FIter
+    adjacent_find(_FIter, _FIter);
+  template<typename _FIter, typename _BinaryPredicate>
+    _FIter
+    adjacent_find(_FIter, _FIter, _BinaryPredicate);
+  template<typename _IIter, typename _Tp>
+    typename iterator_traits<_IIter>::difference_type
+    count(_IIter, _IIter, const _Tp&);
+  template<typename _IIter, typename _Predicate>
+    typename iterator_traits<_IIter>::difference_type
+    count_if(_IIter, _IIter, _Predicate);
+  template<typename _IIter1, typename _IIter2>
+    bool
+    equal(_IIter1, _IIter1, _IIter2);
+  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
+    bool
+    equal(_IIter1, _IIter1, _IIter2, _BinaryPredicate);
+  template<typename _IIter, typename _Tp>
+    _IIter
+    find(_IIter, _IIter, const _Tp&);
+  template<typename _FIter1, typename _FIter2>
+    _FIter1
+    find_first_of(_FIter1, _FIter1, _FIter2, _FIter2);
+  template<typename _FIter1, typename _FIter2, typename _BinaryPredicate>
+    _FIter1
+    find_first_of(_FIter1, _FIter1, _FIter2, _FIter2, _BinaryPredicate);
+  template<typename _IIter, typename _Predicate>
+    _IIter
+    find_if(_IIter, _IIter, _Predicate);
+  template<typename _IIter, typename _Funct>
+    _Funct
+    for_each(_IIter, _IIter, _Funct);
+  template<typename _FIter, typename _Generator>
+    void
+    generate(_FIter, _FIter, _Generator);
+  template<typename _OIter, typename _Size, typename _Generator>
+    _OIter
+    generate_n(_OIter, _Size, _Generator);
+  template<typename _IIter1, typename _IIter2>
+    bool
+    lexicographical_compare(_IIter1, _IIter1, _IIter2, _IIter2);
+  template<typename _IIter1, typename _IIter2, typename _Compare>
+    bool
+    lexicographical_compare(_IIter1, _IIter1, _IIter2, _IIter2, _Compare);
+  template<typename _FIter>
+    _FIter
+    max_element(_FIter, _FIter);
+  template<typename _FIter, typename _Compare>
+    _FIter
+    max_element(_FIter, _FIter, _Compare);
+  template<typename _IIter1, typename _IIter2, typename _OIter>
+    _OIter
+    merge(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);
+  template<typename _IIter1, typename _IIter2, typename _OIter,
+    typename _Compare>
+    _OIter
+    merge(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);
+  template<typename _FIter>
+    _FIter
+    min_element(_FIter, _FIter);
+  template<typename _FIter, typename _Compare>
+    _FIter
+    min_element(_FIter, _FIter, _Compare);
+  template<typename _IIter1, typename _IIter2>
+    pair<_IIter1, _IIter2>
+    mismatch(_IIter1, _IIter1, _IIter2);
+  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
+    pair<_IIter1, _IIter2>
+    mismatch(_IIter1, _IIter1, _IIter2, _BinaryPredicate);
+  template<typename _RAIter>
+    void
+    nth_element(_RAIter, _RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    nth_element(_RAIter, _RAIter, _RAIter, _Compare);
+  template<typename _RAIter>
+    void
+    partial_sort(_RAIter, _RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    partial_sort(_RAIter, _RAIter, _RAIter, _Compare);
+  template<typename _BIter, typename _Predicate>
+    _BIter
+    partition(_BIter, _BIter, _Predicate);
+  template<typename _RAIter>
+    void
+    random_shuffle(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Generator>
+    void
+    random_shuffle(_RAIter, _RAIter, _Generator&);
+  template<typename _FIter, typename _Tp>
+    void
+    replace(_FIter, _FIter, const _Tp&, const _Tp&);
+  template<typename _FIter, typename _Predicate, typename _Tp>
+    void
+    replace_if(_FIter, _FIter, _Predicate, const _Tp&);
+  template<typename _FIter1, typename _FIter2>
+    _FIter1
+    search(_FIter1, _FIter1, _FIter2, _FIter2);
+  template<typename _FIter1, typename _FIter2, typename _BinaryPredicate>
+    _FIter1
+    search(_FIter1, _FIter1, _FIter2, _FIter2, _BinaryPredicate);
+  template<typename _FIter, typename _Size, typename _Tp>
+    _FIter
+    search_n(_FIter, _FIter, _Size, const _Tp&);
+  template<typename _FIter, typename _Size, typename _Tp,
+    typename _BinaryPredicate>
+    _FIter
+    search_n(_FIter, _FIter, _Size, const _Tp&, _BinaryPredicate);
+  template<typename _IIter1, typename _IIter2, typename _OIter>
+    _OIter
+    set_difference(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);
+  template<typename _IIter1, typename _IIter2, typename _OIter,
+    typename _Compare>
+    _OIter
+    set_difference(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);
+  template<typename _IIter1, typename _IIter2, typename _OIter>
+    _OIter
+    set_intersection(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);
+  template<typename _IIter1, typename _IIter2, typename _OIter,
+    typename _Compare>
+    _OIter
+    set_intersection(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);
+  template<typename _IIter1, typename _IIter2, typename _OIter>
+    _OIter
+    set_symmetric_difference(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);
+  template<typename _IIter1, typename _IIter2, typename _OIter,
+    typename _Compare>
+    _OIter
+    set_symmetric_difference(_IIter1, _IIter1, _IIter2, _IIter2,
+        _OIter, _Compare);
+  template<typename _IIter1, typename _IIter2, typename _OIter>
+    _OIter
+    set_union(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);
+  template<typename _IIter1, typename _IIter2, typename _OIter,
+    typename _Compare>
+    _OIter
+    set_union(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);
+  template<typename _RAIter>
+    void
+    sort(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    sort(_RAIter, _RAIter, _Compare);
+  template<typename _RAIter>
+    void
+    stable_sort(_RAIter, _RAIter);
+  template<typename _RAIter, typename _Compare>
+    void
+    stable_sort(_RAIter, _RAIter, _Compare);
+  template<typename _IIter, typename _OIter, typename _UnaryOperation>
+    _OIter
+    transform(_IIter, _IIter, _OIter, _UnaryOperation);
+  template<typename _IIter1, typename _IIter2, typename _OIter,
+    typename _BinaryOperation>
+    _OIter
+    transform(_IIter1, _IIter1, _IIter2, _OIter, _BinaryOperation);
+  template<typename _IIter, typename _OIter>
+    _OIter
+    unique_copy(_IIter, _IIter, _OIter);
+  template<typename _IIter, typename _OIter, typename _BinaryPredicate>
+    _OIter
+    unique_copy(_IIter, _IIter, _OIter, _BinaryPredicate);
+}
+namespace std {
+  template<typename _RandomAccessIterator, typename _Distance>
+    _Distance
+    __is_heap_until(_RandomAccessIterator __first, _Distance __n)
+    {
+      _Distance __parent = 0;
+      for (_Distance __child = 1; __child < __n; ++__child)
+ {
+   if (__first[__parent] < __first[__child])
+     return __child;
+   if ((__child & 1) == 0)
+     ++__parent;
+ }
+      return __n;
+    }
+  template<typename _RandomAccessIterator, typename _Distance,
+    typename _Compare>
+    _Distance
+    __is_heap_until(_RandomAccessIterator __first, _Distance __n,
+      _Compare __comp)
+    {
+      _Distance __parent = 0;
+      for (_Distance __child = 1; __child < __n; ++__child)
+ {
+   if (__comp(__first[__parent], __first[__child]))
+     return __child;
+   if ((__child & 1) == 0)
+     ++__parent;
+ }
+      return __n;
+    }
+  template<typename _RandomAccessIterator, typename _Distance>
+    inline bool
+    __is_heap(_RandomAccessIterator __first, _Distance __n)
+    { return std::__is_heap_until(__first, __n) == __n; }
+  template<typename _RandomAccessIterator, typename _Compare,
+    typename _Distance>
+    inline bool
+    __is_heap(_RandomAccessIterator __first, _Compare __comp, _Distance __n)
+    { return std::__is_heap_until(__first, __n, __comp) == __n; }
+  template<typename _RandomAccessIterator>
+    inline bool
+    __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    { return std::__is_heap(__first, std::distance(__first, __last)); }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline bool
+    __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+       _Compare __comp)
+    { return std::__is_heap(__first, __comp, std::distance(__first, __last)); }
+  template<typename _RandomAccessIterator, typename _Distance, typename _Tp>
+    void
+    __push_heap(_RandomAccessIterator __first,
+  _Distance __holeIndex, _Distance __topIndex, _Tp __value)
+    {
+      _Distance __parent = (__holeIndex - 1) / 2;
+      while (__holeIndex > __topIndex && *(__first + __parent) < __value)
+ {
+   *(__first + __holeIndex) = (*(__first + __parent));
+   __holeIndex = __parent;
+   __parent = (__holeIndex - 1) / 2;
+ }
+      *(__first + __holeIndex) = (__value);
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+   _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+   _DistanceType;
+     
+     
+      ;
+      ;
+      _ValueType __value = (*(__last - 1));
+      std::__push_heap(__first, _DistanceType((__last - __first) - 1),
+         _DistanceType(0), (__value));
+    }
+  template<typename _RandomAccessIterator, typename _Distance, typename _Tp,
+    typename _Compare>
+    void
+    __push_heap(_RandomAccessIterator __first, _Distance __holeIndex,
+  _Distance __topIndex, _Tp __value, _Compare __comp)
+    {
+      _Distance __parent = (__holeIndex - 1) / 2;
+      while (__holeIndex > __topIndex
+      && __comp(*(__first + __parent), __value))
+ {
+   *(__first + __holeIndex) = (*(__first + __parent));
+   __holeIndex = __parent;
+   __parent = (__holeIndex - 1) / 2;
+ }
+      *(__first + __holeIndex) = (__value);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+       _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+   _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+   _DistanceType;
+     
+      ;
+      ;
+      _ValueType __value = (*(__last - 1));
+      std::__push_heap(__first, _DistanceType((__last - __first) - 1),
+         _DistanceType(0), (__value), __comp);
+    }
+  template<typename _RandomAccessIterator, typename _Distance, typename _Tp>
+    void
+    __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
+    _Distance __len, _Tp __value)
+    {
+      const _Distance __topIndex = __holeIndex;
+      _Distance __secondChild = __holeIndex;
+      while (__secondChild < (__len - 1) / 2)
+ {
+   __secondChild = 2 * (__secondChild + 1);
+   if (*(__first + __secondChild) < *(__first + (__secondChild - 1)))
+     __secondChild--;
+   *(__first + __holeIndex) = (*(__first + __secondChild));
+   __holeIndex = __secondChild;
+ }
+      if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
+ {
+   __secondChild = 2 * (__secondChild + 1);
+   *(__first + __holeIndex) = (*(__first + (__secondChild - 1)));
+   __holeIndex = __secondChild - 1;
+ }
+      std::__push_heap(__first, __holeIndex, __topIndex,
+         (__value));
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+        _RandomAccessIterator __result)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _DistanceType;
+      _ValueType __value = (*__result);
+      *__result = (*__first);
+      std::__adjust_heap(__first, _DistanceType(0),
+    _DistanceType(__last - __first),
+    (__value));
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      std::__pop_heap(__first, __last - 1, __last - 1);
+    }
+  template<typename _RandomAccessIterator, typename _Distance,
+    typename _Tp, typename _Compare>
+    void
+    __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
+    _Distance __len, _Tp __value, _Compare __comp)
+    {
+      const _Distance __topIndex = __holeIndex;
+      _Distance __secondChild = __holeIndex;
+      while (__secondChild < (__len - 1) / 2)
+ {
+   __secondChild = 2 * (__secondChild + 1);
+   if (__comp(*(__first + __secondChild),
+       *(__first + (__secondChild - 1))))
+     __secondChild--;
+   *(__first + __holeIndex) = (*(__first + __secondChild));
+   __holeIndex = __secondChild;
+ }
+      if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
+ {
+   __secondChild = 2 * (__secondChild + 1);
+   *(__first + __holeIndex) = (*(__first + (__secondChild - 1)));
+   __holeIndex = __secondChild - 1;
+ }
+      std::__push_heap(__first, __holeIndex, __topIndex,
+         (__value), __comp);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+        _RandomAccessIterator __result, _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _DistanceType;
+      _ValueType __value = (*__result);
+      *__result = (*__first);
+      std::__adjust_heap(__first, _DistanceType(0),
+    _DistanceType(__last - __first),
+    (__value), __comp);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    pop_heap(_RandomAccessIterator __first,
+      _RandomAccessIterator __last, _Compare __comp)
+    {
+     
+      ;
+      ;
+      std::__pop_heap(__first, __last - 1, __last - 1, __comp);
+    }
+  template<typename _RandomAccessIterator>
+    void
+    make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+   _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+   _DistanceType;
+     
+     
+      ;
+      if (__last - __first < 2)
+ return;
+      const _DistanceType __len = __last - __first;
+      _DistanceType __parent = (__len - 2) / 2;
+      while (true)
+ {
+   _ValueType __value = (*(__first + __parent));
+   std::__adjust_heap(__first, __parent, __len, (__value));
+   if (__parent == 0)
+     return;
+   __parent--;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    void
+    make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+       _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+   _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+   _DistanceType;
+     
+      ;
+      if (__last - __first < 2)
+ return;
+      const _DistanceType __len = __last - __first;
+      _DistanceType __parent = (__len - 2) / 2;
+      while (true)
+ {
+   _ValueType __value = (*(__first + __parent));
+   std::__adjust_heap(__first, __parent, __len, (__value),
+        __comp);
+   if (__parent == 0)
+     return;
+   __parent--;
+ }
+    }
+  template<typename _RandomAccessIterator>
+    void
+    sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+     
+     
+      ;
+      ;
+      while (__last - __first > 1)
+ std::pop_heap(__first, _RandomAccessIterator(__last--));
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    void
+    sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+       _Compare __comp)
+    {
+     
+      ;
+      ;
+      while (__last - __first > 1)
+ std::pop_heap(__first, _RandomAccessIterator(__last--), __comp);
+    }
+}
+namespace std {
+  template<typename _T1, typename _T2>
+    inline void
+    _Construct(_T1* __p, const _T2& __value)
+    {
+      ::new(static_cast<void*>(__p)) _T1(__value);
+    }
+  template<typename _Tp>
+    inline void
+    _Destroy(_Tp* __pointer)
+    { __pointer->~_Tp(); }
+  template<typename _ForwardIterator>
+    inline void
+    _Destroy(_ForwardIterator __first, _ForwardIterator __last)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+                       _Value_type;
+      if (!__has_trivial_destructor(_Value_type))
+ for (; __first != __last; ++__first)
+   std::_Destroy(&*__first);
+    }
+  template <typename _Tp> class allocator;
+  template<typename _ForwardIterator, typename _Allocator>
+    void
+    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
+      _Allocator& __alloc)
+    {
+      for (; __first != __last; ++__first)
+ __alloc.destroy(&*__first);
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    inline void
+    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
+      allocator<_Tp>&)
+    {
+      _Destroy(__first, __last);
+    }
+}
+namespace std {
+  template<bool>
+    struct __uninitialized_copy
+    {
+      template<typename _InputIterator, typename _ForwardIterator>
+        static _ForwardIterator
+        uninitialized_copy(_InputIterator __first, _InputIterator __last,
+      _ForwardIterator __result)
+        {
+   _ForwardIterator __cur = __result;
+   try
+     {
+       for (; __first != __last; ++__first, ++__cur)
+  ::new(static_cast<void*>(&*__cur)) typename
+      iterator_traits<_ForwardIterator>::value_type(*__first);
+       return __cur;
+     }
+   catch(...)
+     {
+       std::_Destroy(__result, __cur);
+       throw;
+     }
+ }
+    };
+  template<>
+    struct __uninitialized_copy<true>
+    {
+      template<typename _InputIterator, typename _ForwardIterator>
+        static _ForwardIterator
+        uninitialized_copy(_InputIterator __first, _InputIterator __last,
+      _ForwardIterator __result)
+        { return std::copy(__first, __last, __result); }
+    };
+  template<typename _InputIterator, typename _ForwardIterator>
+    inline _ForwardIterator
+    uninitialized_copy(_InputIterator __first, _InputIterator __last,
+         _ForwardIterator __result)
+    {
+      typedef typename iterator_traits<_InputIterator>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType2;
+      return std::__uninitialized_copy<(__is_pod(_ValueType1)
+     && __is_pod(_ValueType2))>::
+ uninitialized_copy(__first, __last, __result);
+    }
+  template<bool>
+    struct __uninitialized_fill
+    {
+      template<typename _ForwardIterator, typename _Tp>
+        static void
+        uninitialized_fill(_ForwardIterator __first,
+      _ForwardIterator __last, const _Tp& __x)
+        {
+   _ForwardIterator __cur = __first;
+   try
+     {
+       for (; __cur != __last; ++__cur)
+  std::_Construct(&*__cur, __x);
+     }
+   catch(...)
+     {
+       std::_Destroy(__first, __cur);
+       throw;
+     }
+ }
+    };
+  template<>
+    struct __uninitialized_fill<true>
+    {
+      template<typename _ForwardIterator, typename _Tp>
+        static void
+        uninitialized_fill(_ForwardIterator __first,
+      _ForwardIterator __last, const _Tp& __x)
+        { std::fill(__first, __last, __x); }
+    };
+  template<typename _ForwardIterator, typename _Tp>
+    inline void
+    uninitialized_fill(_ForwardIterator __first, _ForwardIterator __last,
+         const _Tp& __x)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      std::__uninitialized_fill<__is_pod(_ValueType)>::
+ uninitialized_fill(__first, __last, __x);
+    }
+  template<bool>
+    struct __uninitialized_fill_n
+    {
+      template<typename _ForwardIterator, typename _Size, typename _Tp>
+        static void
+        uninitialized_fill_n(_ForwardIterator __first, _Size __n,
+        const _Tp& __x)
+        {
+   _ForwardIterator __cur = __first;
+   try
+     {
+       for (; __n > 0; --__n, ++__cur)
+  std::_Construct(&*__cur, __x);
+     }
+   catch(...)
+     {
+       std::_Destroy(__first, __cur);
+       throw;
+     }
+ }
+    };
+  template<>
+    struct __uninitialized_fill_n<true>
+    {
+      template<typename _ForwardIterator, typename _Size, typename _Tp>
+        static void
+        uninitialized_fill_n(_ForwardIterator __first, _Size __n,
+        const _Tp& __x)
+        { std::fill_n(__first, __n, __x); }
+    };
+  template<typename _ForwardIterator, typename _Size, typename _Tp>
+    inline void
+    uninitialized_fill_n(_ForwardIterator __first, _Size __n, const _Tp& __x)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      std::__uninitialized_fill_n<__is_pod(_ValueType)>::
+ uninitialized_fill_n(__first, __n, __x);
+    }
+  template<typename _InputIterator, typename _ForwardIterator,
+    typename _Allocator>
+    _ForwardIterator
+    __uninitialized_copy_a(_InputIterator __first, _InputIterator __last,
+      _ForwardIterator __result, _Allocator& __alloc)
+    {
+      _ForwardIterator __cur = __result;
+      try
+ {
+   for (; __first != __last; ++__first, ++__cur)
+     __alloc.construct(&*__cur, *__first);
+   return __cur;
+ }
+      catch(...)
+ {
+   std::_Destroy(__result, __cur, __alloc);
+   throw;
+ }
+    }
+  template<typename _InputIterator, typename _ForwardIterator, typename _Tp>
+    inline _ForwardIterator
+    __uninitialized_copy_a(_InputIterator __first, _InputIterator __last,
+      _ForwardIterator __result, allocator<_Tp>&)
+    { return std::uninitialized_copy(__first, __last, __result); }
+  template<typename _InputIterator, typename _ForwardIterator,
+    typename _Allocator>
+    inline _ForwardIterator
+    __uninitialized_move_a(_InputIterator __first, _InputIterator __last,
+      _ForwardIterator __result, _Allocator& __alloc)
+    {
+      return std::__uninitialized_copy_a((__first),
+      (__last),
+      __result, __alloc);
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _Allocator>
+    void
+    __uninitialized_fill_a(_ForwardIterator __first, _ForwardIterator __last,
+      const _Tp& __x, _Allocator& __alloc)
+    {
+      _ForwardIterator __cur = __first;
+      try
+ {
+   for (; __cur != __last; ++__cur)
+     __alloc.construct(&*__cur, __x);
+ }
+      catch(...)
+ {
+   std::_Destroy(__first, __cur, __alloc);
+   throw;
+ }
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _Tp2>
+    inline void
+    __uninitialized_fill_a(_ForwardIterator __first, _ForwardIterator __last,
+      const _Tp& __x, allocator<_Tp2>&)
+    { std::uninitialized_fill(__first, __last, __x); }
+  template<typename _ForwardIterator, typename _Size, typename _Tp,
+    typename _Allocator>
+    void
+    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
+        const _Tp& __x, _Allocator& __alloc)
+    {
+      _ForwardIterator __cur = __first;
+      try
+ {
+   for (; __n > 0; --__n, ++__cur)
+     __alloc.construct(&*__cur, __x);
+ }
+      catch(...)
+ {
+   std::_Destroy(__first, __cur, __alloc);
+   throw;
+ }
+    }
+  template<typename _ForwardIterator, typename _Size, typename _Tp,
+    typename _Tp2>
+    inline void
+    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
+        const _Tp& __x, allocator<_Tp2>&)
+    { std::uninitialized_fill_n(__first, __n, __x); }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _ForwardIterator, typename _Allocator>
+    inline _ForwardIterator
+    __uninitialized_copy_move(_InputIterator1 __first1,
+         _InputIterator1 __last1,
+         _InputIterator2 __first2,
+         _InputIterator2 __last2,
+         _ForwardIterator __result,
+         _Allocator& __alloc)
+    {
+      _ForwardIterator __mid = std::__uninitialized_copy_a(__first1, __last1,
+          __result,
+          __alloc);
+      try
+ {
+   return std::__uninitialized_move_a(__first2, __last2, __mid, __alloc);
+ }
+      catch(...)
+ {
+   std::_Destroy(__result, __mid, __alloc);
+   throw;
+ }
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _ForwardIterator, typename _Allocator>
+    inline _ForwardIterator
+    __uninitialized_move_copy(_InputIterator1 __first1,
+         _InputIterator1 __last1,
+         _InputIterator2 __first2,
+         _InputIterator2 __last2,
+         _ForwardIterator __result,
+         _Allocator& __alloc)
+    {
+      _ForwardIterator __mid = std::__uninitialized_move_a(__first1, __last1,
+          __result,
+          __alloc);
+      try
+ {
+   return std::__uninitialized_copy_a(__first2, __last2, __mid, __alloc);
+ }
+      catch(...)
+ {
+   std::_Destroy(__result, __mid, __alloc);
+   throw;
+ }
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _InputIterator,
+    typename _Allocator>
+    inline _ForwardIterator
+    __uninitialized_fill_move(_ForwardIterator __result, _ForwardIterator __mid,
+         const _Tp& __x, _InputIterator __first,
+         _InputIterator __last, _Allocator& __alloc)
+    {
+      std::__uninitialized_fill_a(__result, __mid, __x, __alloc);
+      try
+ {
+   return std::__uninitialized_move_a(__first, __last, __mid, __alloc);
+ }
+      catch(...)
+ {
+   std::_Destroy(__result, __mid, __alloc);
+   throw;
+ }
+    }
+  template<typename _InputIterator, typename _ForwardIterator, typename _Tp,
+    typename _Allocator>
+    inline void
+    __uninitialized_move_fill(_InputIterator __first1, _InputIterator __last1,
+         _ForwardIterator __first2,
+         _ForwardIterator __last2, const _Tp& __x,
+         _Allocator& __alloc)
+    {
+      _ForwardIterator __mid2 = std::__uninitialized_move_a(__first1, __last1,
+           __first2,
+           __alloc);
+      try
+ {
+   std::__uninitialized_fill_a(__mid2, __last2, __x, __alloc);
+ }
+      catch(...)
+ {
+   std::_Destroy(__first2, __mid2, __alloc);
+   throw;
+ }
+    }
+}
+namespace std {
+  template<typename _Tp>
+    pair<_Tp*, ptrdiff_t>
+    get_temporary_buffer(ptrdiff_t __len)
+    {
+      const ptrdiff_t __max =
+ __gnu_cxx::__numeric_traits<ptrdiff_t>::__max / sizeof(_Tp);
+      if (__len > __max)
+ __len = __max;
+      while (__len > 0)
+ {
+   _Tp* __tmp = static_cast<_Tp*>(::operator new(__len * sizeof(_Tp),
+       std::nothrow));
+   if (__tmp != 0)
+     return std::pair<_Tp*, ptrdiff_t>(__tmp, __len);
+   __len /= 2;
+ }
+      return std::pair<_Tp*, ptrdiff_t>(static_cast<_Tp*>(0), 0);
+    }
+  template<typename _Tp>
+    inline void
+    return_temporary_buffer(_Tp* __p)
+    { ::operator delete(__p, std::nothrow); }
+  template<typename _ForwardIterator, typename _Tp>
+    class _Temporary_buffer
+    {
+     
+    public:
+      typedef _Tp value_type;
+      typedef value_type* pointer;
+      typedef pointer iterator;
+      typedef ptrdiff_t size_type;
+    protected:
+      size_type _M_original_len;
+      size_type _M_len;
+      pointer _M_buffer;
+    public:
+      size_type
+      size() const
+      { return _M_len; }
+      size_type
+      requested_size() const
+      { return _M_original_len; }
+      iterator
+      begin()
+      { return _M_buffer; }
+      iterator
+      end()
+      { return _M_buffer + _M_len; }
+      _Temporary_buffer(_ForwardIterator __first, _ForwardIterator __last);
+      ~_Temporary_buffer()
+      {
+ std::_Destroy(_M_buffer, _M_buffer + _M_len);
+ std::return_temporary_buffer(_M_buffer);
+      }
+    private:
+      _Temporary_buffer(const _Temporary_buffer&);
+      void
+      operator=(const _Temporary_buffer&);
+    };
+  template<typename _ForwardIterator, typename _Tp>
+    _Temporary_buffer<_ForwardIterator, _Tp>::
+    _Temporary_buffer(_ForwardIterator __first, _ForwardIterator __last)
+    : _M_original_len(std::distance(__first, __last)),
+      _M_len(0), _M_buffer(0)
+    {
+      try
+ {
+   std::pair<pointer, size_type> __p(std::get_temporary_buffer<
+         value_type>(_M_original_len));
+   _M_buffer = __p.first;
+   _M_len = __p.second;
+   if (!__is_pod(_Tp) && _M_len > 0)
+     std::uninitialized_fill_n(_M_buffer, _M_len, *__first);
+ }
+      catch(...)
+ {
+   std::return_temporary_buffer(_M_buffer);
+   _M_buffer = 0;
+   _M_len = 0;
+   throw;
+ }
+    }
+}
+namespace std {
+  template<typename _Tp>
+    inline const _Tp&
+    __median(const _Tp& __a, const _Tp& __b, const _Tp& __c)
+    {
+     
+      if (__a < __b)
+ if (__b < __c)
+   return __b;
+ else if (__a < __c)
+   return __c;
+ else
+   return __a;
+      else if (__a < __c)
+ return __a;
+      else if (__b < __c)
+ return __c;
+      else
+ return __b;
+    }
+  template<typename _Tp, typename _Compare>
+    inline const _Tp&
+    __median(const _Tp& __a, const _Tp& __b, const _Tp& __c, _Compare __comp)
+    {
+     
+      if (__comp(__a, __b))
+ if (__comp(__b, __c))
+   return __b;
+ else if (__comp(__a, __c))
+   return __c;
+ else
+   return __a;
+      else if (__comp(__a, __c))
+ return __a;
+      else if (__comp(__b, __c))
+ return __c;
+      else
+ return __b;
+    }
+  template<typename _InputIterator, typename _Tp>
+    inline _InputIterator
+    __find(_InputIterator __first, _InputIterator __last,
+    const _Tp& __val, input_iterator_tag)
+    {
+      while (__first != __last && !(*__first == __val))
+ ++__first;
+      return __first;
+    }
+  template<typename _InputIterator, typename _Predicate>
+    inline _InputIterator
+    __find_if(_InputIterator __first, _InputIterator __last,
+       _Predicate __pred, input_iterator_tag)
+    {
+      while (__first != __last && !bool(__pred(*__first)))
+ ++__first;
+      return __first;
+    }
+  template<typename _RandomAccessIterator, typename _Tp>
+    _RandomAccessIterator
+    __find(_RandomAccessIterator __first, _RandomAccessIterator __last,
+    const _Tp& __val, random_access_iterator_tag)
+    {
+      typename iterator_traits<_RandomAccessIterator>::difference_type
+ __trip_count = (__last - __first) >> 2;
+      for (; __trip_count > 0; --__trip_count)
+ {
+   if (*__first == __val)
+     return __first;
+   ++__first;
+   if (*__first == __val)
+     return __first;
+   ++__first;
+   if (*__first == __val)
+     return __first;
+   ++__first;
+   if (*__first == __val)
+     return __first;
+   ++__first;
+ }
+      switch (__last - __first)
+ {
+ case 3:
+   if (*__first == __val)
+     return __first;
+   ++__first;
+ case 2:
+   if (*__first == __val)
+     return __first;
+   ++__first;
+ case 1:
+   if (*__first == __val)
+     return __first;
+   ++__first;
+ case 0:
+ default:
+   return __last;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Predicate>
+    _RandomAccessIterator
+    __find_if(_RandomAccessIterator __first, _RandomAccessIterator __last,
+       _Predicate __pred, random_access_iterator_tag)
+    {
+      typename iterator_traits<_RandomAccessIterator>::difference_type
+ __trip_count = (__last - __first) >> 2;
+      for (; __trip_count > 0; --__trip_count)
+ {
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+ }
+      switch (__last - __first)
+ {
+ case 3:
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+ case 2:
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+ case 1:
+   if (__pred(*__first))
+     return __first;
+   ++__first;
+ case 0:
+ default:
+   return __last;
+ }
+    }
+  template<typename _ForwardIterator, typename _Integer, typename _Tp>
+    _ForwardIterator
+    __search_n(_ForwardIterator __first, _ForwardIterator __last,
+        _Integer __count, const _Tp& __val,
+        std::forward_iterator_tag)
+    {
+      __first = std::find(__first, __last, __val);
+      while (__first != __last)
+ {
+   typename iterator_traits<_ForwardIterator>::difference_type
+     __n = __count;
+   _ForwardIterator __i = __first;
+   ++__i;
+   while (__i != __last && __n != 1 && *__i == __val)
+     {
+       ++__i;
+       --__n;
+     }
+   if (__n == 1)
+     return __first;
+   if (__i == __last)
+     return __last;
+   __first = std::find(++__i, __last, __val);
+ }
+      return __last;
+    }
+  template<typename _RandomAccessIter, typename _Integer, typename _Tp>
+    _RandomAccessIter
+    __search_n(_RandomAccessIter __first, _RandomAccessIter __last,
+        _Integer __count, const _Tp& __val,
+        std::random_access_iterator_tag)
+    {
+      typedef typename std::iterator_traits<_RandomAccessIter>::difference_type
+ _DistanceType;
+      _DistanceType __tailSize = __last - __first;
+      const _DistanceType __pattSize = __count;
+      if (__tailSize < __pattSize)
+        return __last;
+      const _DistanceType __skipOffset = __pattSize - 1;
+      _RandomAccessIter __lookAhead = __first + __skipOffset;
+      __tailSize -= __pattSize;
+      while (1)
+ {
+   while (!(*__lookAhead == __val))
+     {
+       if (__tailSize < __pattSize)
+  return __last;
+       __lookAhead += __pattSize;
+       __tailSize -= __pattSize;
+     }
+   _DistanceType __remainder = __skipOffset;
+   for (_RandomAccessIter __backTrack = __lookAhead - 1;
+        *__backTrack == __val; --__backTrack)
+     {
+       if (--__remainder == 0)
+  return (__lookAhead - __skipOffset);
+     }
+   if (__remainder > __tailSize)
+     return __last;
+   __lookAhead += __remainder;
+   __tailSize -= __remainder;
+ }
+    }
+  template<typename _ForwardIterator, typename _Integer, typename _Tp,
+           typename _BinaryPredicate>
+    _ForwardIterator
+    __search_n(_ForwardIterator __first, _ForwardIterator __last,
+        _Integer __count, const _Tp& __val,
+        _BinaryPredicate __binary_pred, std::forward_iterator_tag)
+    {
+      while (__first != __last && !bool(__binary_pred(*__first, __val)))
+        ++__first;
+      while (__first != __last)
+ {
+   typename iterator_traits<_ForwardIterator>::difference_type
+     __n = __count;
+   _ForwardIterator __i = __first;
+   ++__i;
+   while (__i != __last && __n != 1 && bool(__binary_pred(*__i, __val)))
+     {
+       ++__i;
+       --__n;
+     }
+   if (__n == 1)
+     return __first;
+   if (__i == __last)
+     return __last;
+   __first = ++__i;
+   while (__first != __last
+   && !bool(__binary_pred(*__first, __val)))
+     ++__first;
+ }
+      return __last;
+    }
+  template<typename _RandomAccessIter, typename _Integer, typename _Tp,
+    typename _BinaryPredicate>
+    _RandomAccessIter
+    __search_n(_RandomAccessIter __first, _RandomAccessIter __last,
+        _Integer __count, const _Tp& __val,
+        _BinaryPredicate __binary_pred, std::random_access_iterator_tag)
+    {
+      typedef typename std::iterator_traits<_RandomAccessIter>::difference_type
+ _DistanceType;
+      _DistanceType __tailSize = __last - __first;
+      const _DistanceType __pattSize = __count;
+      if (__tailSize < __pattSize)
+        return __last;
+      const _DistanceType __skipOffset = __pattSize - 1;
+      _RandomAccessIter __lookAhead = __first + __skipOffset;
+      __tailSize -= __pattSize;
+      while (1)
+ {
+   while (!bool(__binary_pred(*__lookAhead, __val)))
+     {
+       if (__tailSize < __pattSize)
+  return __last;
+       __lookAhead += __pattSize;
+       __tailSize -= __pattSize;
+     }
+   _DistanceType __remainder = __skipOffset;
+   for (_RandomAccessIter __backTrack = __lookAhead - 1;
+        __binary_pred(*__backTrack, __val); --__backTrack)
+     {
+       if (--__remainder == 0)
+  return (__lookAhead - __skipOffset);
+     }
+   if (__remainder > __tailSize)
+     return __last;
+   __lookAhead += __remainder;
+   __tailSize -= __remainder;
+ }
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2>
+    _ForwardIterator1
+    __find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+        _ForwardIterator2 __first2, _ForwardIterator2 __last2,
+        forward_iterator_tag, forward_iterator_tag)
+    {
+      if (__first2 == __last2)
+ return __last1;
+      else
+ {
+   _ForwardIterator1 __result = __last1;
+   while (1)
+     {
+       _ForwardIterator1 __new_result
+  = std::search(__first1, __last1, __first2, __last2);
+       if (__new_result == __last1)
+  return __result;
+       else
+  {
+    __result = __new_result;
+    __first1 = __new_result;
+    ++__first1;
+  }
+     }
+ }
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2,
+    typename _BinaryPredicate>
+    _ForwardIterator1
+    __find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+        _ForwardIterator2 __first2, _ForwardIterator2 __last2,
+        forward_iterator_tag, forward_iterator_tag,
+        _BinaryPredicate __comp)
+    {
+      if (__first2 == __last2)
+ return __last1;
+      else
+ {
+   _ForwardIterator1 __result = __last1;
+   while (1)
+     {
+       _ForwardIterator1 __new_result
+  = std::search(__first1, __last1, __first2,
+      __last2, __comp);
+       if (__new_result == __last1)
+  return __result;
+       else
+  {
+    __result = __new_result;
+    __first1 = __new_result;
+    ++__first1;
+  }
+     }
+ }
+    }
+  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2>
+    _BidirectionalIterator1
+    __find_end(_BidirectionalIterator1 __first1,
+        _BidirectionalIterator1 __last1,
+        _BidirectionalIterator2 __first2,
+        _BidirectionalIterator2 __last2,
+        bidirectional_iterator_tag, bidirectional_iterator_tag)
+    {
+     
+     
+      typedef reverse_iterator<_BidirectionalIterator1> _RevIterator1;
+      typedef reverse_iterator<_BidirectionalIterator2> _RevIterator2;
+      _RevIterator1 __rlast1(__first1);
+      _RevIterator2 __rlast2(__first2);
+      _RevIterator1 __rresult = std::search(_RevIterator1(__last1),
+             __rlast1,
+             _RevIterator2(__last2),
+             __rlast2);
+      if (__rresult == __rlast1)
+ return __last1;
+      else
+ {
+   _BidirectionalIterator1 __result = __rresult.base();
+   std::advance(__result, -std::distance(__first2, __last2));
+   return __result;
+ }
+    }
+  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
+    typename _BinaryPredicate>
+    _BidirectionalIterator1
+    __find_end(_BidirectionalIterator1 __first1,
+        _BidirectionalIterator1 __last1,
+        _BidirectionalIterator2 __first2,
+        _BidirectionalIterator2 __last2,
+        bidirectional_iterator_tag, bidirectional_iterator_tag,
+        _BinaryPredicate __comp)
+    {
+     
+     
+      typedef reverse_iterator<_BidirectionalIterator1> _RevIterator1;
+      typedef reverse_iterator<_BidirectionalIterator2> _RevIterator2;
+      _RevIterator1 __rlast1(__first1);
+      _RevIterator2 __rlast2(__first2);
+      _RevIterator1 __rresult = std::search(_RevIterator1(__last1), __rlast1,
+         _RevIterator2(__last2), __rlast2,
+         __comp);
+      if (__rresult == __rlast1)
+ return __last1;
+      else
+ {
+   _BidirectionalIterator1 __result = __rresult.base();
+   std::advance(__result, -std::distance(__first2, __last2));
+   return __result;
+ }
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2>
+    inline _ForwardIterator1
+    find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+      _ForwardIterator2 __first2, _ForwardIterator2 __last2)
+    {
+     
+     
+     
+      ;
+      ;
+      return std::__find_end(__first1, __last1, __first2, __last2,
+        std::__iterator_category(__first1),
+        std::__iterator_category(__first2));
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2,
+    typename _BinaryPredicate>
+    inline _ForwardIterator1
+    find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+      _ForwardIterator2 __first2, _ForwardIterator2 __last2,
+      _BinaryPredicate __comp)
+    {
+     
+     
+     
+      ;
+      ;
+      return std::__find_end(__first1, __last1, __first2, __last2,
+        std::__iterator_category(__first1),
+        std::__iterator_category(__first2),
+        __comp);
+    }
+  template<typename _InputIterator, typename _OutputIterator, typename _Tp>
+    _OutputIterator
+    remove_copy(_InputIterator __first, _InputIterator __last,
+  _OutputIterator __result, const _Tp& __value)
+    {
+     
+     
+     
+      ;
+      for (; __first != __last; ++__first)
+ if (!(*__first == __value))
+   {
+     *__result = *__first;
+     ++__result;
+   }
+      return __result;
+    }
+  template<typename _InputIterator, typename _OutputIterator,
+    typename _Predicate>
+    _OutputIterator
+    remove_copy_if(_InputIterator __first, _InputIterator __last,
+     _OutputIterator __result, _Predicate __pred)
+    {
+     
+     
+     
+      ;
+      for (; __first != __last; ++__first)
+ if (!bool(__pred(*__first)))
+   {
+     *__result = *__first;
+     ++__result;
+   }
+      return __result;
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    _ForwardIterator
+    remove(_ForwardIterator __first, _ForwardIterator __last,
+    const _Tp& __value)
+    {
+     
+     
+      ;
+      __first = std::find(__first, __last, __value);
+      if(__first == __last)
+        return __first;
+      _ForwardIterator __result = __first;
+      ++__first;
+      for(; __first != __last; ++__first)
+        if(!(*__first == __value))
+          {
+            *__result = (*__first);
+            ++__result;
+          }
+      return __result;
+    }
+  template<typename _ForwardIterator, typename _Predicate>
+    _ForwardIterator
+    remove_if(_ForwardIterator __first, _ForwardIterator __last,
+       _Predicate __pred)
+    {
+     
+     
+      ;
+      __first = std::find_if(__first, __last, __pred);
+      if(__first == __last)
+        return __first;
+      _ForwardIterator __result = __first;
+      ++__first;
+      for(; __first != __last; ++__first)
+        if(!bool(__pred(*__first)))
+          {
+            *__result = (*__first);
+            ++__result;
+          }
+      return __result;
+    }
+  template<typename _ForwardIterator>
+    _ForwardIterator
+    unique(_ForwardIterator __first, _ForwardIterator __last)
+    {
+     
+     
+      ;
+      __first = std::adjacent_find(__first, __last);
+      if (__first == __last)
+ return __last;
+      _ForwardIterator __dest = __first;
+      ++__first;
+      while (++__first != __last)
+ if (!(*__dest == *__first))
+   *++__dest = (*__first);
+      return ++__dest;
+    }
+  template<typename _ForwardIterator, typename _BinaryPredicate>
+    _ForwardIterator
+    unique(_ForwardIterator __first, _ForwardIterator __last,
+           _BinaryPredicate __binary_pred)
+    {
+     
+     
+      ;
+      __first = std::adjacent_find(__first, __last, __binary_pred);
+      if (__first == __last)
+ return __last;
+      _ForwardIterator __dest = __first;
+      ++__first;
+      while (++__first != __last)
+ if (!bool(__binary_pred(*__dest, *__first)))
+   *++__dest = (*__first);
+      return ++__dest;
+    }
+  template<typename _ForwardIterator, typename _OutputIterator>
+    _OutputIterator
+    __unique_copy(_ForwardIterator __first, _ForwardIterator __last,
+    _OutputIterator __result,
+    forward_iterator_tag, output_iterator_tag)
+    {
+      _ForwardIterator __next = __first;
+      *__result = *__first;
+      while (++__next != __last)
+ if (!(*__first == *__next))
+   {
+     __first = __next;
+     *++__result = *__first;
+   }
+      return ++__result;
+    }
+  template<typename _InputIterator, typename _OutputIterator>
+    _OutputIterator
+    __unique_copy(_InputIterator __first, _InputIterator __last,
+    _OutputIterator __result,
+    input_iterator_tag, output_iterator_tag)
+    {
+      typename iterator_traits<_InputIterator>::value_type __value = *__first;
+      *__result = __value;
+      while (++__first != __last)
+ if (!(__value == *__first))
+   {
+     __value = *__first;
+     *++__result = __value;
+   }
+      return ++__result;
+    }
+  template<typename _InputIterator, typename _ForwardIterator>
+    _ForwardIterator
+    __unique_copy(_InputIterator __first, _InputIterator __last,
+    _ForwardIterator __result,
+    input_iterator_tag, forward_iterator_tag)
+    {
+      *__result = *__first;
+      while (++__first != __last)
+ if (!(*__result == *__first))
+   *++__result = *__first;
+      return ++__result;
+    }
+  template<typename _ForwardIterator, typename _OutputIterator,
+    typename _BinaryPredicate>
+    _OutputIterator
+    __unique_copy(_ForwardIterator __first, _ForwardIterator __last,
+    _OutputIterator __result, _BinaryPredicate __binary_pred,
+    forward_iterator_tag, output_iterator_tag)
+    {
+     
+      _ForwardIterator __next = __first;
+      *__result = *__first;
+      while (++__next != __last)
+ if (!bool(__binary_pred(*__first, *__next)))
+   {
+     __first = __next;
+     *++__result = *__first;
+   }
+      return ++__result;
+    }
+  template<typename _InputIterator, typename _OutputIterator,
+    typename _BinaryPredicate>
+    _OutputIterator
+    __unique_copy(_InputIterator __first, _InputIterator __last,
+    _OutputIterator __result, _BinaryPredicate __binary_pred,
+    input_iterator_tag, output_iterator_tag)
+    {
+     
+      typename iterator_traits<_InputIterator>::value_type __value = *__first;
+      *__result = __value;
+      while (++__first != __last)
+ if (!bool(__binary_pred(__value, *__first)))
+   {
+     __value = *__first;
+     *++__result = __value;
+   }
+      return ++__result;
+    }
+  template<typename _InputIterator, typename _ForwardIterator,
+    typename _BinaryPredicate>
+    _ForwardIterator
+    __unique_copy(_InputIterator __first, _InputIterator __last,
+    _ForwardIterator __result, _BinaryPredicate __binary_pred,
+    input_iterator_tag, forward_iterator_tag)
+    {
+     
+      *__result = *__first;
+      while (++__first != __last)
+ if (!bool(__binary_pred(*__result, *__first)))
+   *++__result = *__first;
+      return ++__result;
+    }
+  template<typename _BidirectionalIterator>
+    void
+    __reverse(_BidirectionalIterator __first, _BidirectionalIterator __last,
+       bidirectional_iterator_tag)
+    {
+      while (true)
+ if (__first == __last || __first == --__last)
+   return;
+ else
+   {
+     std::iter_swap(__first, __last);
+     ++__first;
+   }
+    }
+  template<typename _RandomAccessIterator>
+    void
+    __reverse(_RandomAccessIterator __first, _RandomAccessIterator __last,
+       random_access_iterator_tag)
+    {
+      if (__first == __last)
+ return;
+      --__last;
+      while (__first < __last)
+ {
+   std::iter_swap(__first, __last);
+   ++__first;
+   --__last;
+ }
+    }
+  template<typename _BidirectionalIterator>
+    inline void
+    reverse(_BidirectionalIterator __first, _BidirectionalIterator __last)
+    {
+     
+      ;
+      std::__reverse(__first, __last, std::__iterator_category(__first));
+    }
+  template<typename _BidirectionalIterator, typename _OutputIterator>
+    _OutputIterator
+    reverse_copy(_BidirectionalIterator __first, _BidirectionalIterator __last,
+        _OutputIterator __result)
+    {
+     
+     
+      ;
+      while (__first != __last)
+ {
+   --__last;
+   *__result = *__last;
+   ++__result;
+ }
+      return __result;
+    }
+  template<typename _EuclideanRingElement>
+    _EuclideanRingElement
+    __gcd(_EuclideanRingElement __m, _EuclideanRingElement __n)
+    {
+      while (__n != 0)
+ {
+   _EuclideanRingElement __t = __m % __n;
+   __m = __n;
+   __n = __t;
+ }
+      return __m;
+    }
+  template<typename _ForwardIterator>
+    void
+    __rotate(_ForwardIterator __first,
+      _ForwardIterator __middle,
+      _ForwardIterator __last,
+      forward_iterator_tag)
+    {
+      if (__first == __middle || __last == __middle)
+ return;
+      _ForwardIterator __first2 = __middle;
+      do
+ {
+   std::iter_swap(__first, __first2);
+   ++__first;
+   ++__first2;
+   if (__first == __middle)
+     __middle = __first2;
+ }
+      while (__first2 != __last);
+      __first2 = __middle;
+      while (__first2 != __last)
+ {
+   std::iter_swap(__first, __first2);
+   ++__first;
+   ++__first2;
+   if (__first == __middle)
+     __middle = __first2;
+   else if (__first2 == __last)
+     __first2 = __middle;
+ }
+    }
+  template<typename _BidirectionalIterator>
+    void
+    __rotate(_BidirectionalIterator __first,
+      _BidirectionalIterator __middle,
+      _BidirectionalIterator __last,
+       bidirectional_iterator_tag)
+    {
+     
+      if (__first == __middle || __last == __middle)
+ return;
+      std::__reverse(__first, __middle, bidirectional_iterator_tag());
+      std::__reverse(__middle, __last, bidirectional_iterator_tag());
+      while (__first != __middle && __middle != __last)
+ {
+   std::iter_swap(__first, --__last);
+   ++__first;
+ }
+      if (__first == __middle)
+ std::__reverse(__middle, __last, bidirectional_iterator_tag());
+      else
+ std::__reverse(__first, __middle, bidirectional_iterator_tag());
+    }
+  template<typename _RandomAccessIterator>
+    void
+    __rotate(_RandomAccessIterator __first,
+      _RandomAccessIterator __middle,
+      _RandomAccessIterator __last,
+      random_access_iterator_tag)
+    {
+     
+      if (__first == __middle || __last == __middle)
+ return;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _Distance;
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      const _Distance __n = __last - __first;
+      const _Distance __k = __middle - __first;
+      const _Distance __l = __n - __k;
+      if (__k == __l)
+ {
+   std::swap_ranges(__first, __middle, __middle);
+   return;
+ }
+      const _Distance __d = std::__gcd(__n, __k);
+      for (_Distance __i = 0; __i < __d; __i++)
+ {
+   _ValueType __tmp = (*__first);
+   _RandomAccessIterator __p = __first;
+   if (__k < __l)
+     {
+       for (_Distance __j = 0; __j < __l / __d; __j++)
+  {
+    if (__p > __first + __l)
+      {
+        *__p = (*(__p - __l));
+        __p -= __l;
+      }
+    *__p = (*(__p + __k));
+    __p += __k;
+  }
+     }
+   else
+     {
+       for (_Distance __j = 0; __j < __k / __d - 1; __j ++)
+  {
+    if (__p < __last - __k)
+      {
+        *__p = (*(__p + __k));
+        __p += __k;
+      }
+    *__p = (*(__p - __l));
+    __p -= __l;
+  }
+     }
+   *__p = (__tmp);
+   ++__first;
+ }
+    }
+  template<typename _ForwardIterator>
+    inline void
+    rotate(_ForwardIterator __first, _ForwardIterator __middle,
+    _ForwardIterator __last)
+    {
+     
+      ;
+      ;
+      typedef typename iterator_traits<_ForwardIterator>::iterator_category
+ _IterType;
+      std::__rotate(__first, __middle, __last, _IterType());
+    }
+  template<typename _ForwardIterator, typename _OutputIterator>
+    _OutputIterator
+    rotate_copy(_ForwardIterator __first, _ForwardIterator __middle,
+                _ForwardIterator __last, _OutputIterator __result)
+    {
+     
+     
+      ;
+      ;
+      return std::copy(__first, __middle,
+                       std::copy(__middle, __last, __result));
+    }
+  template<typename _ForwardIterator, typename _Predicate>
+    _ForwardIterator
+    __partition(_ForwardIterator __first, _ForwardIterator __last,
+  _Predicate __pred, forward_iterator_tag)
+    {
+      if (__first == __last)
+ return __first;
+      while (__pred(*__first))
+ if (++__first == __last)
+   return __first;
+      _ForwardIterator __next = __first;
+      while (++__next != __last)
+ if (__pred(*__next))
+   {
+     std::iter_swap(__first, __next);
+     ++__first;
+   }
+      return __first;
+    }
+  template<typename _BidirectionalIterator, typename _Predicate>
+    _BidirectionalIterator
+    __partition(_BidirectionalIterator __first, _BidirectionalIterator __last,
+  _Predicate __pred, bidirectional_iterator_tag)
+    {
+      while (true)
+ {
+   while (true)
+     if (__first == __last)
+       return __first;
+     else if (__pred(*__first))
+       ++__first;
+     else
+       break;
+   --__last;
+   while (true)
+     if (__first == __last)
+       return __first;
+     else if (!bool(__pred(*__last)))
+       --__last;
+     else
+       break;
+   std::iter_swap(__first, __last);
+   ++__first;
+ }
+    }
+  template<typename _ForwardIterator, typename _Predicate, typename _Distance>
+    _ForwardIterator
+    __inplace_stable_partition(_ForwardIterator __first,
+          _ForwardIterator __last,
+          _Predicate __pred, _Distance __len)
+    {
+      if (__len == 1)
+ return __pred(*__first) ? __last : __first;
+      _ForwardIterator __middle = __first;
+      std::advance(__middle, __len / 2);
+      _ForwardIterator __begin = std::__inplace_stable_partition(__first,
+         __middle,
+         __pred,
+         __len / 2);
+      _ForwardIterator __end = std::__inplace_stable_partition(__middle, __last,
+              __pred,
+              __len
+              - __len / 2);
+      std::rotate(__begin, __middle, __end);
+      std::advance(__begin, std::distance(__middle, __end));
+      return __begin;
+    }
+  template<typename _ForwardIterator, typename _Pointer, typename _Predicate,
+    typename _Distance>
+    _ForwardIterator
+    __stable_partition_adaptive(_ForwardIterator __first,
+    _ForwardIterator __last,
+    _Predicate __pred, _Distance __len,
+    _Pointer __buffer,
+    _Distance __buffer_size)
+    {
+      if (__len <= __buffer_size)
+ {
+   _ForwardIterator __result1 = __first;
+   _Pointer __result2 = __buffer;
+   for (; __first != __last; ++__first)
+     if (__pred(*__first))
+       {
+  *__result1 = *__first;
+  ++__result1;
+       }
+     else
+       {
+  *__result2 = *__first;
+  ++__result2;
+       }
+   std::copy(__buffer, __result2, __result1);
+   return __result1;
+ }
+      else
+ {
+   _ForwardIterator __middle = __first;
+   std::advance(__middle, __len / 2);
+   _ForwardIterator __begin =
+     std::__stable_partition_adaptive(__first, __middle, __pred,
+          __len / 2, __buffer,
+          __buffer_size);
+   _ForwardIterator __end =
+     std::__stable_partition_adaptive(__middle, __last, __pred,
+          __len - __len / 2,
+          __buffer, __buffer_size);
+   std::rotate(__begin, __middle, __end);
+   std::advance(__begin, std::distance(__middle, __end));
+   return __begin;
+ }
+    }
+  template<typename _ForwardIterator, typename _Predicate>
+    _ForwardIterator
+    stable_partition(_ForwardIterator __first, _ForwardIterator __last,
+       _Predicate __pred)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __first;
+      else
+ {
+   typedef typename iterator_traits<_ForwardIterator>::value_type
+     _ValueType;
+   typedef typename iterator_traits<_ForwardIterator>::difference_type
+     _DistanceType;
+   _Temporary_buffer<_ForwardIterator, _ValueType> __buf(__first,
+        __last);
+ if (__buf.size() > 0)
+   return
+     std::__stable_partition_adaptive(__first, __last, __pred,
+       _DistanceType(__buf.requested_size()),
+       __buf.begin(),
+       _DistanceType(__buf.size()));
+ else
+   return
+     std::__inplace_stable_partition(__first, __last, __pred,
+      _DistanceType(__buf.requested_size()));
+ }
+    }
+  template<typename _RandomAccessIterator>
+    void
+    __heap_select(_RandomAccessIterator __first,
+    _RandomAccessIterator __middle,
+    _RandomAccessIterator __last)
+    {
+      std::make_heap(__first, __middle);
+      for (_RandomAccessIterator __i = __middle; __i < __last; ++__i)
+ if (*__i < *__first)
+   std::__pop_heap(__first, __middle, __i);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    void
+    __heap_select(_RandomAccessIterator __first,
+    _RandomAccessIterator __middle,
+    _RandomAccessIterator __last, _Compare __comp)
+    {
+      std::make_heap(__first, __middle, __comp);
+      for (_RandomAccessIterator __i = __middle; __i < __last; ++__i)
+ if (__comp(*__i, *__first))
+   std::__pop_heap(__first, __middle, __i, __comp);
+    }
+  template<typename _InputIterator, typename _RandomAccessIterator>
+    _RandomAccessIterator
+    partial_sort_copy(_InputIterator __first, _InputIterator __last,
+        _RandomAccessIterator __result_first,
+        _RandomAccessIterator __result_last)
+    {
+      typedef typename iterator_traits<_InputIterator>::value_type
+ _InputValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _OutputValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _DistanceType;
+     
+     
+     
+     
+      ;
+      ;
+      if (__result_first == __result_last)
+ return __result_last;
+      _RandomAccessIterator __result_real_last = __result_first;
+      while(__first != __last && __result_real_last != __result_last)
+ {
+   *__result_real_last = *__first;
+   ++__result_real_last;
+   ++__first;
+ }
+      std::make_heap(__result_first, __result_real_last);
+      while (__first != __last)
+ {
+   if (*__first < *__result_first)
+     std::__adjust_heap(__result_first, _DistanceType(0),
+          _DistanceType(__result_real_last
+          - __result_first),
+          _InputValueType(*__first));
+   ++__first;
+ }
+      std::sort_heap(__result_first, __result_real_last);
+      return __result_real_last;
+    }
+  template<typename _InputIterator, typename _RandomAccessIterator, typename _Compare>
+    _RandomAccessIterator
+    partial_sort_copy(_InputIterator __first, _InputIterator __last,
+        _RandomAccessIterator __result_first,
+        _RandomAccessIterator __result_last,
+        _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator>::value_type
+ _InputValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _OutputValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _DistanceType;
+     
+     
+     
+     
+     
+      ;
+      ;
+      if (__result_first == __result_last)
+ return __result_last;
+      _RandomAccessIterator __result_real_last = __result_first;
+      while(__first != __last && __result_real_last != __result_last)
+ {
+   *__result_real_last = *__first;
+   ++__result_real_last;
+   ++__first;
+ }
+      std::make_heap(__result_first, __result_real_last, __comp);
+      while (__first != __last)
+ {
+   if (__comp(*__first, *__result_first))
+     std::__adjust_heap(__result_first, _DistanceType(0),
+          _DistanceType(__result_real_last
+          - __result_first),
+          _InputValueType(*__first),
+          __comp);
+   ++__first;
+ }
+      std::sort_heap(__result_first, __result_real_last, __comp);
+      return __result_real_last;
+    }
+  template<typename _RandomAccessIterator, typename _Tp>
+    void
+    __unguarded_linear_insert(_RandomAccessIterator __last, _Tp __val)
+    {
+      _RandomAccessIterator __next = __last;
+      --__next;
+      while (__val < *__next)
+ {
+   *__last = *__next;
+   __last = __next;
+   --__next;
+ }
+      *__last = __val;
+    }
+  template<typename _RandomAccessIterator, typename _Tp, typename _Compare>
+    void
+    __unguarded_linear_insert(_RandomAccessIterator __last, _Tp __val,
+         _Compare __comp)
+    {
+      _RandomAccessIterator __next = __last;
+      --__next;
+      while (__comp(__val, *__next))
+ {
+   *__last = *__next;
+   __last = __next;
+   --__next;
+ }
+      *__last = __val;
+    }
+  template<typename _RandomAccessIterator>
+    void
+    __insertion_sort(_RandomAccessIterator __first,
+       _RandomAccessIterator __last)
+    {
+      if (__first == __last)
+ return;
+      for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
+ {
+   typename iterator_traits<_RandomAccessIterator>::value_type
+     __val = *__i;
+   if (__val < *__first)
+     {
+       std::copy_backward(__first, __i, __i + 1);
+       *__first = __val;
+     }
+   else
+     std::__unguarded_linear_insert(__i, __val);
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    void
+    __insertion_sort(_RandomAccessIterator __first,
+       _RandomAccessIterator __last, _Compare __comp)
+    {
+      if (__first == __last) return;
+      for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
+ {
+   typename iterator_traits<_RandomAccessIterator>::value_type
+     __val = *__i;
+   if (__comp(__val, *__first))
+     {
+       std::copy_backward(__first, __i, __i + 1);
+       *__first = __val;
+     }
+   else
+     std::__unguarded_linear_insert(__i, __val, __comp);
+ }
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    __unguarded_insertion_sort(_RandomAccessIterator __first,
+          _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      for (_RandomAccessIterator __i = __first; __i != __last; ++__i)
+ std::__unguarded_linear_insert(__i, _ValueType(*__i));
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    __unguarded_insertion_sort(_RandomAccessIterator __first,
+          _RandomAccessIterator __last, _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      for (_RandomAccessIterator __i = __first; __i != __last; ++__i)
+ std::__unguarded_linear_insert(__i, _ValueType(*__i), __comp);
+    }
+  enum { _S_threshold = 16 };
+  template<typename _RandomAccessIterator>
+    void
+    __final_insertion_sort(_RandomAccessIterator __first,
+      _RandomAccessIterator __last)
+    {
+      if (__last - __first > int(_S_threshold))
+ {
+   std::__insertion_sort(__first, __first + int(_S_threshold));
+   std::__unguarded_insertion_sort(__first + int(_S_threshold), __last);
+ }
+      else
+ std::__insertion_sort(__first, __last);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    void
+    __final_insertion_sort(_RandomAccessIterator __first,
+      _RandomAccessIterator __last, _Compare __comp)
+    {
+      if (__last - __first > int(_S_threshold))
+ {
+   std::__insertion_sort(__first, __first + int(_S_threshold), __comp);
+   std::__unguarded_insertion_sort(__first + int(_S_threshold), __last,
+       __comp);
+ }
+      else
+ std::__insertion_sort(__first, __last, __comp);
+    }
+  template<typename _RandomAccessIterator, typename _Tp>
+    _RandomAccessIterator
+    __unguarded_partition(_RandomAccessIterator __first,
+     _RandomAccessIterator __last, _Tp __pivot)
+    {
+      while (true)
+ {
+   while (*__first < __pivot)
+     ++__first;
+   --__last;
+   while (__pivot < *__last)
+     --__last;
+   if (!(__first < __last))
+     return __first;
+   std::iter_swap(__first, __last);
+   ++__first;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Tp, typename _Compare>
+    _RandomAccessIterator
+    __unguarded_partition(_RandomAccessIterator __first,
+     _RandomAccessIterator __last,
+     _Tp __pivot, _Compare __comp)
+    {
+      while (true)
+ {
+   while (__comp(*__first, __pivot))
+     ++__first;
+   --__last;
+   while (__comp(__pivot, *__last))
+     --__last;
+   if (!(__first < __last))
+     return __first;
+   std::iter_swap(__first, __last);
+   ++__first;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Size>
+    void
+    __introsort_loop(_RandomAccessIterator __first,
+       _RandomAccessIterator __last,
+       _Size __depth_limit)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      while (__last - __first > int(_S_threshold))
+ {
+   if (__depth_limit == 0)
+     {
+       std::partial_sort(__first, __last, __last);
+       return;
+     }
+   --__depth_limit;
+   _RandomAccessIterator __cut =
+     std::__unguarded_partition(__first, __last,
+           _ValueType(std::__median(*__first,
+        *(__first
+          + (__last
+             - __first)
+          / 2),
+        *(__last
+          - 1))));
+   std::__introsort_loop(__cut, __last, __depth_limit);
+   __last = __cut;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Size, typename _Compare>
+    void
+    __introsort_loop(_RandomAccessIterator __first,
+       _RandomAccessIterator __last,
+       _Size __depth_limit, _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      while (__last - __first > int(_S_threshold))
+ {
+   if (__depth_limit == 0)
+     {
+       std::partial_sort(__first, __last, __last, __comp);
+       return;
+     }
+   --__depth_limit;
+   _RandomAccessIterator __cut =
+     std::__unguarded_partition(__first, __last,
+           _ValueType(std::__median(*__first,
+        *(__first
+          + (__last
+             - __first)
+          / 2),
+        *(__last - 1),
+        __comp)),
+           __comp);
+   std::__introsort_loop(__cut, __last, __depth_limit, __comp);
+   __last = __cut;
+ }
+    }
+  template<typename _Size>
+    inline _Size
+    __lg(_Size __n)
+    {
+      _Size __k;
+      for (__k = 0; __n != 0; __n >>= 1)
+ ++__k;
+      return __k - 1;
+    }
+  inline int
+  __lg(int __n)
+  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }
+  inline long
+  __lg(long __n)
+  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }
+  inline long long
+  __lg(long long __n)
+  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }
+  template<typename _RandomAccessIterator, typename _Size>
+    void
+    __introselect(_RandomAccessIterator __first, _RandomAccessIterator __nth,
+    _RandomAccessIterator __last, _Size __depth_limit)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      while (__last - __first > 3)
+ {
+   if (__depth_limit == 0)
+     {
+       std::__heap_select(__first, __nth + 1, __last);
+       std::iter_swap(__first, __nth);
+       return;
+     }
+   --__depth_limit;
+   _RandomAccessIterator __cut =
+     std::__unguarded_partition(__first, __last,
+           _ValueType(std::__median(*__first,
+        *(__first
+          + (__last
+             - __first)
+          / 2),
+        *(__last
+          - 1))));
+   if (__cut <= __nth)
+     __first = __cut;
+   else
+     __last = __cut;
+ }
+      std::__insertion_sort(__first, __last);
+    }
+  template<typename _RandomAccessIterator, typename _Size, typename _Compare>
+    void
+    __introselect(_RandomAccessIterator __first, _RandomAccessIterator __nth,
+    _RandomAccessIterator __last, _Size __depth_limit,
+    _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      while (__last - __first > 3)
+ {
+   if (__depth_limit == 0)
+     {
+       std::__heap_select(__first, __nth + 1, __last, __comp);
+       std::iter_swap(__first, __nth);
+       return;
+     }
+   --__depth_limit;
+   _RandomAccessIterator __cut =
+     std::__unguarded_partition(__first, __last,
+           _ValueType(std::__median(*__first,
+        *(__first
+          + (__last
+             - __first)
+          / 2),
+        *(__last - 1),
+        __comp)),
+           __comp);
+   if (__cut <= __nth)
+     __first = __cut;
+   else
+     __last = __cut;
+ }
+      std::__insertion_sort(__first, __last, __comp);
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    _ForwardIterator
+    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
+  const _Tp& __val)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_ForwardIterator>::difference_type
+ _DistanceType;
+     
+     
+      ;
+      _DistanceType __len = std::distance(__first, __last);
+      _DistanceType __half;
+      _ForwardIterator __middle;
+      while (__len > 0)
+ {
+   __half = __len >> 1;
+   __middle = __first;
+   std::advance(__middle, __half);
+   if (*__middle < __val)
+     {
+       __first = __middle;
+       ++__first;
+       __len = __len - __half - 1;
+     }
+   else
+     __len = __half;
+ }
+      return __first;
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _Compare>
+    _ForwardIterator
+    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
+  const _Tp& __val, _Compare __comp)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_ForwardIterator>::difference_type
+ _DistanceType;
+     
+     
+      ;
+      _DistanceType __len = std::distance(__first, __last);
+      _DistanceType __half;
+      _ForwardIterator __middle;
+      while (__len > 0)
+ {
+   __half = __len >> 1;
+   __middle = __first;
+   std::advance(__middle, __half);
+   if (__comp(*__middle, __val))
+     {
+       __first = __middle;
+       ++__first;
+       __len = __len - __half - 1;
+     }
+   else
+     __len = __half;
+ }
+      return __first;
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    _ForwardIterator
+    upper_bound(_ForwardIterator __first, _ForwardIterator __last,
+  const _Tp& __val)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_ForwardIterator>::difference_type
+ _DistanceType;
+     
+     
+      ;
+      _DistanceType __len = std::distance(__first, __last);
+      _DistanceType __half;
+      _ForwardIterator __middle;
+      while (__len > 0)
+ {
+   __half = __len >> 1;
+   __middle = __first;
+   std::advance(__middle, __half);
+   if (__val < *__middle)
+     __len = __half;
+   else
+     {
+       __first = __middle;
+       ++__first;
+       __len = __len - __half - 1;
+     }
+ }
+      return __first;
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _Compare>
+    _ForwardIterator
+    upper_bound(_ForwardIterator __first, _ForwardIterator __last,
+  const _Tp& __val, _Compare __comp)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_ForwardIterator>::difference_type
+ _DistanceType;
+     
+     
+      ;
+      _DistanceType __len = std::distance(__first, __last);
+      _DistanceType __half;
+      _ForwardIterator __middle;
+      while (__len > 0)
+ {
+   __half = __len >> 1;
+   __middle = __first;
+   std::advance(__middle, __half);
+   if (__comp(__val, *__middle))
+     __len = __half;
+   else
+     {
+       __first = __middle;
+       ++__first;
+       __len = __len - __half - 1;
+     }
+ }
+      return __first;
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    pair<_ForwardIterator, _ForwardIterator>
+    equal_range(_ForwardIterator __first, _ForwardIterator __last,
+  const _Tp& __val)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_ForwardIterator>::difference_type
+ _DistanceType;
+     
+     
+     
+      ;
+      ;
+      _DistanceType __len = std::distance(__first, __last);
+      _DistanceType __half;
+      _ForwardIterator __middle, __left, __right;
+      while (__len > 0)
+ {
+   __half = __len >> 1;
+   __middle = __first;
+   std::advance(__middle, __half);
+   if (*__middle < __val)
+     {
+       __first = __middle;
+       ++__first;
+       __len = __len - __half - 1;
+     }
+   else if (__val < *__middle)
+     __len = __half;
+   else
+     {
+       __left = std::lower_bound(__first, __middle, __val);
+       std::advance(__first, __len);
+       __right = std::upper_bound(++__middle, __first, __val);
+       return pair<_ForwardIterator, _ForwardIterator>(__left, __right);
+     }
+ }
+      return pair<_ForwardIterator, _ForwardIterator>(__first, __first);
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _Compare>
+    pair<_ForwardIterator, _ForwardIterator>
+    equal_range(_ForwardIterator __first, _ForwardIterator __last,
+  const _Tp& __val,
+  _Compare __comp)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_ForwardIterator>::difference_type
+ _DistanceType;
+     
+     
+     
+      ;
+      ;
+      _DistanceType __len = std::distance(__first, __last);
+      _DistanceType __half;
+      _ForwardIterator __middle, __left, __right;
+      while (__len > 0)
+ {
+   __half = __len >> 1;
+   __middle = __first;
+   std::advance(__middle, __half);
+   if (__comp(*__middle, __val))
+     {
+       __first = __middle;
+       ++__first;
+       __len = __len - __half - 1;
+     }
+   else if (__comp(__val, *__middle))
+     __len = __half;
+   else
+     {
+       __left = std::lower_bound(__first, __middle, __val, __comp);
+       std::advance(__first, __len);
+       __right = std::upper_bound(++__middle, __first, __val, __comp);
+       return pair<_ForwardIterator, _ForwardIterator>(__left, __right);
+     }
+ }
+      return pair<_ForwardIterator, _ForwardIterator>(__first, __first);
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    bool
+    binary_search(_ForwardIterator __first, _ForwardIterator __last,
+                  const _Tp& __val)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      _ForwardIterator __i = std::lower_bound(__first, __last, __val);
+      return __i != __last && !(__val < *__i);
+    }
+  template<typename _ForwardIterator, typename _Tp, typename _Compare>
+    bool
+    binary_search(_ForwardIterator __first, _ForwardIterator __last,
+                  const _Tp& __val, _Compare __comp)
+    {
+      typedef typename iterator_traits<_ForwardIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      _ForwardIterator __i = std::lower_bound(__first, __last, __val, __comp);
+      return __i != __last && !bool(__comp(__val, *__i));
+    }
+  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
+    typename _BidirectionalIterator3>
+    _BidirectionalIterator3
+    __merge_backward(_BidirectionalIterator1 __first1,
+       _BidirectionalIterator1 __last1,
+       _BidirectionalIterator2 __first2,
+       _BidirectionalIterator2 __last2,
+       _BidirectionalIterator3 __result)
+    {
+      if (__first1 == __last1)
+ return std::copy_backward(__first2, __last2, __result);
+      if (__first2 == __last2)
+ return std::copy_backward(__first1, __last1, __result);
+      --__last1;
+      --__last2;
+      while (true)
+ {
+   if (*__last2 < *__last1)
+     {
+       *--__result = *__last1;
+       if (__first1 == __last1)
+  return std::copy_backward(__first2, ++__last2, __result);
+       --__last1;
+     }
+   else
+     {
+       *--__result = *__last2;
+       if (__first2 == __last2)
+  return std::copy_backward(__first1, ++__last1, __result);
+       --__last2;
+     }
+ }
+    }
+  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
+    typename _BidirectionalIterator3, typename _Compare>
+    _BidirectionalIterator3
+    __merge_backward(_BidirectionalIterator1 __first1,
+       _BidirectionalIterator1 __last1,
+       _BidirectionalIterator2 __first2,
+       _BidirectionalIterator2 __last2,
+       _BidirectionalIterator3 __result,
+       _Compare __comp)
+    {
+      if (__first1 == __last1)
+ return std::copy_backward(__first2, __last2, __result);
+      if (__first2 == __last2)
+ return std::copy_backward(__first1, __last1, __result);
+      --__last1;
+      --__last2;
+      while (true)
+ {
+   if (__comp(*__last2, *__last1))
+     {
+       *--__result = *__last1;
+       if (__first1 == __last1)
+  return std::copy_backward(__first2, ++__last2, __result);
+       --__last1;
+     }
+   else
+     {
+       *--__result = *__last2;
+       if (__first2 == __last2)
+  return std::copy_backward(__first1, ++__last1, __result);
+       --__last2;
+     }
+ }
+    }
+  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
+    typename _Distance>
+    _BidirectionalIterator1
+    __rotate_adaptive(_BidirectionalIterator1 __first,
+        _BidirectionalIterator1 __middle,
+        _BidirectionalIterator1 __last,
+        _Distance __len1, _Distance __len2,
+        _BidirectionalIterator2 __buffer,
+        _Distance __buffer_size)
+    {
+      _BidirectionalIterator2 __buffer_end;
+      if (__len1 > __len2 && __len2 <= __buffer_size)
+ {
+   __buffer_end = std::copy(__middle, __last, __buffer);
+   std::copy_backward(__first, __middle, __last);
+   return std::copy(__buffer, __buffer_end, __first);
+ }
+      else if (__len1 <= __buffer_size)
+ {
+   __buffer_end = std::copy(__first, __middle, __buffer);
+   std::copy(__middle, __last, __first);
+   return std::copy_backward(__buffer, __buffer_end, __last);
+ }
+      else
+ {
+   std::rotate(__first, __middle, __last);
+   std::advance(__first, std::distance(__middle, __last));
+   return __first;
+ }
+    }
+  template<typename _BidirectionalIterator, typename _Distance,
+    typename _Pointer>
+    void
+    __merge_adaptive(_BidirectionalIterator __first,
+                     _BidirectionalIterator __middle,
+       _BidirectionalIterator __last,
+       _Distance __len1, _Distance __len2,
+       _Pointer __buffer, _Distance __buffer_size)
+    {
+      if (__len1 <= __len2 && __len1 <= __buffer_size)
+ {
+   _Pointer __buffer_end = std::copy(__first, __middle, __buffer);
+   std::merge(__buffer, __buffer_end, __middle, __last,
+    __first);
+ }
+      else if (__len2 <= __buffer_size)
+ {
+   _Pointer __buffer_end = std::copy(__middle, __last, __buffer);
+   std::__merge_backward(__first, __middle, __buffer,
+    __buffer_end, __last);
+ }
+      else
+ {
+   _BidirectionalIterator __first_cut = __first;
+   _BidirectionalIterator __second_cut = __middle;
+   _Distance __len11 = 0;
+   _Distance __len22 = 0;
+   if (__len1 > __len2)
+     {
+       __len11 = __len1 / 2;
+       std::advance(__first_cut, __len11);
+       __second_cut = std::lower_bound(__middle, __last,
+           *__first_cut);
+       __len22 = std::distance(__middle, __second_cut);
+     }
+   else
+     {
+       __len22 = __len2 / 2;
+       std::advance(__second_cut, __len22);
+       __first_cut = std::upper_bound(__first, __middle,
+          *__second_cut);
+       __len11 = std::distance(__first, __first_cut);
+     }
+   _BidirectionalIterator __new_middle =
+     std::__rotate_adaptive(__first_cut, __middle, __second_cut,
+       __len1 - __len11, __len22, __buffer,
+       __buffer_size);
+   std::__merge_adaptive(__first, __first_cut, __new_middle, __len11,
+    __len22, __buffer, __buffer_size);
+   std::__merge_adaptive(__new_middle, __second_cut, __last,
+    __len1 - __len11,
+    __len2 - __len22, __buffer, __buffer_size);
+ }
+    }
+  template<typename _BidirectionalIterator, typename _Distance,
+    typename _Pointer, typename _Compare>
+    void
+    __merge_adaptive(_BidirectionalIterator __first,
+                     _BidirectionalIterator __middle,
+       _BidirectionalIterator __last,
+       _Distance __len1, _Distance __len2,
+       _Pointer __buffer, _Distance __buffer_size,
+       _Compare __comp)
+    {
+      if (__len1 <= __len2 && __len1 <= __buffer_size)
+ {
+   _Pointer __buffer_end = std::copy(__first, __middle, __buffer);
+   std::merge(__buffer, __buffer_end, __middle, __last,
+    __first, __comp);
+ }
+      else if (__len2 <= __buffer_size)
+ {
+   _Pointer __buffer_end = std::copy(__middle, __last, __buffer);
+   std::__merge_backward(__first, __middle, __buffer, __buffer_end,
+    __last, __comp);
+ }
+      else
+ {
+   _BidirectionalIterator __first_cut = __first;
+   _BidirectionalIterator __second_cut = __middle;
+   _Distance __len11 = 0;
+   _Distance __len22 = 0;
+   if (__len1 > __len2)
+     {
+       __len11 = __len1 / 2;
+       std::advance(__first_cut, __len11);
+       __second_cut = std::lower_bound(__middle, __last, *__first_cut,
+           __comp);
+       __len22 = std::distance(__middle, __second_cut);
+     }
+   else
+     {
+       __len22 = __len2 / 2;
+       std::advance(__second_cut, __len22);
+       __first_cut = std::upper_bound(__first, __middle, *__second_cut,
+          __comp);
+       __len11 = std::distance(__first, __first_cut);
+     }
+   _BidirectionalIterator __new_middle =
+     std::__rotate_adaptive(__first_cut, __middle, __second_cut,
+       __len1 - __len11, __len22, __buffer,
+       __buffer_size);
+   std::__merge_adaptive(__first, __first_cut, __new_middle, __len11,
+    __len22, __buffer, __buffer_size, __comp);
+   std::__merge_adaptive(__new_middle, __second_cut, __last,
+    __len1 - __len11,
+    __len2 - __len22, __buffer,
+    __buffer_size, __comp);
+ }
+    }
+  template<typename _BidirectionalIterator, typename _Distance>
+    void
+    __merge_without_buffer(_BidirectionalIterator __first,
+      _BidirectionalIterator __middle,
+      _BidirectionalIterator __last,
+      _Distance __len1, _Distance __len2)
+    {
+      if (__len1 == 0 || __len2 == 0)
+ return;
+      if (__len1 + __len2 == 2)
+ {
+   if (*__middle < *__first)
+     std::iter_swap(__first, __middle);
+   return;
+ }
+      _BidirectionalIterator __first_cut = __first;
+      _BidirectionalIterator __second_cut = __middle;
+      _Distance __len11 = 0;
+      _Distance __len22 = 0;
+      if (__len1 > __len2)
+ {
+   __len11 = __len1 / 2;
+   std::advance(__first_cut, __len11);
+   __second_cut = std::lower_bound(__middle, __last, *__first_cut);
+   __len22 = std::distance(__middle, __second_cut);
+ }
+      else
+ {
+   __len22 = __len2 / 2;
+   std::advance(__second_cut, __len22);
+   __first_cut = std::upper_bound(__first, __middle, *__second_cut);
+   __len11 = std::distance(__first, __first_cut);
+ }
+      std::rotate(__first_cut, __middle, __second_cut);
+      _BidirectionalIterator __new_middle = __first_cut;
+      std::advance(__new_middle, std::distance(__middle, __second_cut));
+      std::__merge_without_buffer(__first, __first_cut, __new_middle,
+      __len11, __len22);
+      std::__merge_without_buffer(__new_middle, __second_cut, __last,
+      __len1 - __len11, __len2 - __len22);
+    }
+  template<typename _BidirectionalIterator, typename _Distance,
+    typename _Compare>
+    void
+    __merge_without_buffer(_BidirectionalIterator __first,
+                           _BidirectionalIterator __middle,
+      _BidirectionalIterator __last,
+      _Distance __len1, _Distance __len2,
+      _Compare __comp)
+    {
+      if (__len1 == 0 || __len2 == 0)
+ return;
+      if (__len1 + __len2 == 2)
+ {
+   if (__comp(*__middle, *__first))
+     std::iter_swap(__first, __middle);
+   return;
+ }
+      _BidirectionalIterator __first_cut = __first;
+      _BidirectionalIterator __second_cut = __middle;
+      _Distance __len11 = 0;
+      _Distance __len22 = 0;
+      if (__len1 > __len2)
+ {
+   __len11 = __len1 / 2;
+   std::advance(__first_cut, __len11);
+   __second_cut = std::lower_bound(__middle, __last, *__first_cut,
+       __comp);
+   __len22 = std::distance(__middle, __second_cut);
+ }
+      else
+ {
+   __len22 = __len2 / 2;
+   std::advance(__second_cut, __len22);
+   __first_cut = std::upper_bound(__first, __middle, *__second_cut,
+      __comp);
+   __len11 = std::distance(__first, __first_cut);
+ }
+      std::rotate(__first_cut, __middle, __second_cut);
+      _BidirectionalIterator __new_middle = __first_cut;
+      std::advance(__new_middle, std::distance(__middle, __second_cut));
+      std::__merge_without_buffer(__first, __first_cut, __new_middle,
+      __len11, __len22, __comp);
+      std::__merge_without_buffer(__new_middle, __second_cut, __last,
+      __len1 - __len11, __len2 - __len22, __comp);
+    }
+  template<typename _BidirectionalIterator>
+    void
+    inplace_merge(_BidirectionalIterator __first,
+    _BidirectionalIterator __middle,
+    _BidirectionalIterator __last)
+    {
+      typedef typename iterator_traits<_BidirectionalIterator>::value_type
+          _ValueType;
+      typedef typename iterator_traits<_BidirectionalIterator>::difference_type
+          _DistanceType;
+     
+     
+      ;
+      ;
+      if (__first == __middle || __middle == __last)
+ return;
+      _DistanceType __len1 = std::distance(__first, __middle);
+      _DistanceType __len2 = std::distance(__middle, __last);
+      _Temporary_buffer<_BidirectionalIterator, _ValueType> __buf(__first,
+          __last);
+      if (__buf.begin() == 0)
+ std::__merge_without_buffer(__first, __middle, __last, __len1, __len2);
+      else
+ std::__merge_adaptive(__first, __middle, __last, __len1, __len2,
+         __buf.begin(), _DistanceType(__buf.size()));
+    }
+  template<typename _BidirectionalIterator, typename _Compare>
+    void
+    inplace_merge(_BidirectionalIterator __first,
+    _BidirectionalIterator __middle,
+    _BidirectionalIterator __last,
+    _Compare __comp)
+    {
+      typedef typename iterator_traits<_BidirectionalIterator>::value_type
+          _ValueType;
+      typedef typename iterator_traits<_BidirectionalIterator>::difference_type
+          _DistanceType;
+     
+     
+      ;
+      ;
+      if (__first == __middle || __middle == __last)
+ return;
+      const _DistanceType __len1 = std::distance(__first, __middle);
+      const _DistanceType __len2 = std::distance(__middle, __last);
+      _Temporary_buffer<_BidirectionalIterator, _ValueType> __buf(__first,
+          __last);
+      if (__buf.begin() == 0)
+ std::__merge_without_buffer(__first, __middle, __last, __len1,
+        __len2, __comp);
+      else
+ std::__merge_adaptive(__first, __middle, __last, __len1, __len2,
+         __buf.begin(), _DistanceType(__buf.size()),
+         __comp);
+    }
+  template<typename _RandomAccessIterator1, typename _RandomAccessIterator2,
+    typename _Distance>
+    void
+    __merge_sort_loop(_RandomAccessIterator1 __first,
+        _RandomAccessIterator1 __last,
+        _RandomAccessIterator2 __result,
+        _Distance __step_size)
+    {
+      const _Distance __two_step = 2 * __step_size;
+      while (__last - __first >= __two_step)
+ {
+   __result = std::merge(__first, __first + __step_size,
+        __first + __step_size,
+        __first + __two_step,
+        __result);
+   __first += __two_step;
+ }
+      __step_size = std::min(_Distance(__last - __first), __step_size);
+      std::merge(__first, __first + __step_size,
+       __first + __step_size, __last,
+       __result);
+    }
+  template<typename _RandomAccessIterator1, typename _RandomAccessIterator2,
+    typename _Distance, typename _Compare>
+    void
+    __merge_sort_loop(_RandomAccessIterator1 __first,
+        _RandomAccessIterator1 __last,
+        _RandomAccessIterator2 __result, _Distance __step_size,
+        _Compare __comp)
+    {
+      const _Distance __two_step = 2 * __step_size;
+      while (__last - __first >= __two_step)
+ {
+   __result = std::merge(__first, __first + __step_size,
+    __first + __step_size, __first + __two_step,
+    __result,
+    __comp);
+   __first += __two_step;
+ }
+      __step_size = std::min(_Distance(__last - __first), __step_size);
+      std::merge(__first, __first + __step_size,
+       __first + __step_size, __last, __result, __comp);
+    }
+  template<typename _RandomAccessIterator, typename _Distance>
+    void
+    __chunk_insertion_sort(_RandomAccessIterator __first,
+      _RandomAccessIterator __last,
+      _Distance __chunk_size)
+    {
+      while (__last - __first >= __chunk_size)
+ {
+   std::__insertion_sort(__first, __first + __chunk_size);
+   __first += __chunk_size;
+ }
+      std::__insertion_sort(__first, __last);
+    }
+  template<typename _RandomAccessIterator, typename _Distance,
+    typename _Compare>
+    void
+    __chunk_insertion_sort(_RandomAccessIterator __first,
+      _RandomAccessIterator __last,
+      _Distance __chunk_size, _Compare __comp)
+    {
+      while (__last - __first >= __chunk_size)
+ {
+   std::__insertion_sort(__first, __first + __chunk_size, __comp);
+   __first += __chunk_size;
+ }
+      std::__insertion_sort(__first, __last, __comp);
+    }
+  enum { _S_chunk_size = 7 };
+  template<typename _RandomAccessIterator, typename _Pointer>
+    void
+    __merge_sort_with_buffer(_RandomAccessIterator __first,
+        _RandomAccessIterator __last,
+                             _Pointer __buffer)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _Distance;
+      const _Distance __len = __last - __first;
+      const _Pointer __buffer_last = __buffer + __len;
+      _Distance __step_size = _S_chunk_size;
+      std::__chunk_insertion_sort(__first, __last, __step_size);
+      while (__step_size < __len)
+ {
+   std::__merge_sort_loop(__first, __last, __buffer, __step_size);
+   __step_size *= 2;
+   std::__merge_sort_loop(__buffer, __buffer_last, __first, __step_size);
+   __step_size *= 2;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Pointer, typename _Compare>
+    void
+    __merge_sort_with_buffer(_RandomAccessIterator __first,
+        _RandomAccessIterator __last,
+                             _Pointer __buffer, _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _Distance;
+      const _Distance __len = __last - __first;
+      const _Pointer __buffer_last = __buffer + __len;
+      _Distance __step_size = _S_chunk_size;
+      std::__chunk_insertion_sort(__first, __last, __step_size, __comp);
+      while (__step_size < __len)
+ {
+   std::__merge_sort_loop(__first, __last, __buffer,
+     __step_size, __comp);
+   __step_size *= 2;
+   std::__merge_sort_loop(__buffer, __buffer_last, __first,
+     __step_size, __comp);
+   __step_size *= 2;
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Pointer,
+    typename _Distance>
+    void
+    __stable_sort_adaptive(_RandomAccessIterator __first,
+      _RandomAccessIterator __last,
+                           _Pointer __buffer, _Distance __buffer_size)
+    {
+      const _Distance __len = (__last - __first + 1) / 2;
+      const _RandomAccessIterator __middle = __first + __len;
+      if (__len > __buffer_size)
+ {
+   std::__stable_sort_adaptive(__first, __middle,
+          __buffer, __buffer_size);
+   std::__stable_sort_adaptive(__middle, __last,
+          __buffer, __buffer_size);
+ }
+      else
+ {
+   std::__merge_sort_with_buffer(__first, __middle, __buffer);
+   std::__merge_sort_with_buffer(__middle, __last, __buffer);
+ }
+      std::__merge_adaptive(__first, __middle, __last,
+       _Distance(__middle - __first),
+       _Distance(__last - __middle),
+       __buffer, __buffer_size);
+    }
+  template<typename _RandomAccessIterator, typename _Pointer,
+    typename _Distance, typename _Compare>
+    void
+    __stable_sort_adaptive(_RandomAccessIterator __first,
+      _RandomAccessIterator __last,
+                           _Pointer __buffer, _Distance __buffer_size,
+                           _Compare __comp)
+    {
+      const _Distance __len = (__last - __first + 1) / 2;
+      const _RandomAccessIterator __middle = __first + __len;
+      if (__len > __buffer_size)
+ {
+   std::__stable_sort_adaptive(__first, __middle, __buffer,
+          __buffer_size, __comp);
+   std::__stable_sort_adaptive(__middle, __last, __buffer,
+          __buffer_size, __comp);
+ }
+      else
+ {
+   std::__merge_sort_with_buffer(__first, __middle, __buffer, __comp);
+   std::__merge_sort_with_buffer(__middle, __last, __buffer, __comp);
+ }
+      std::__merge_adaptive(__first, __middle, __last,
+       _Distance(__middle - __first),
+       _Distance(__last - __middle),
+       __buffer, __buffer_size,
+       __comp);
+    }
+  template<typename _RandomAccessIterator>
+    void
+    __inplace_stable_sort(_RandomAccessIterator __first,
+     _RandomAccessIterator __last)
+    {
+      if (__last - __first < 15)
+ {
+   std::__insertion_sort(__first, __last);
+   return;
+ }
+      _RandomAccessIterator __middle = __first + (__last - __first) / 2;
+      std::__inplace_stable_sort(__first, __middle);
+      std::__inplace_stable_sort(__middle, __last);
+      std::__merge_without_buffer(__first, __middle, __last,
+      __middle - __first,
+      __last - __middle);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    void
+    __inplace_stable_sort(_RandomAccessIterator __first,
+     _RandomAccessIterator __last, _Compare __comp)
+    {
+      if (__last - __first < 15)
+ {
+   std::__insertion_sort(__first, __last, __comp);
+   return;
+ }
+      _RandomAccessIterator __middle = __first + (__last - __first) / 2;
+      std::__inplace_stable_sort(__first, __middle, __comp);
+      std::__inplace_stable_sort(__middle, __last, __comp);
+      std::__merge_without_buffer(__first, __middle, __last,
+      __middle - __first,
+      __last - __middle,
+      __comp);
+    }
+  template<typename _InputIterator1, typename _InputIterator2>
+    bool
+    includes(_InputIterator1 __first1, _InputIterator1 __last1,
+      _InputIterator2 __first2, _InputIterator2 __last2)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (*__first2 < *__first1)
+   return false;
+ else if(*__first1 < *__first2)
+   ++__first1;
+ else
+   ++__first1, ++__first2;
+      return __first2 == __last2;
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _Compare>
+    bool
+    includes(_InputIterator1 __first1, _InputIterator1 __last1,
+      _InputIterator2 __first2, _InputIterator2 __last2,
+      _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (__comp(*__first2, *__first1))
+   return false;
+ else if(__comp(*__first1, *__first2))
+   ++__first1;
+ else
+   ++__first1, ++__first2;
+      return __first2 == __last2;
+    }
+  template<typename _BidirectionalIterator>
+    bool
+    next_permutation(_BidirectionalIterator __first,
+       _BidirectionalIterator __last)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return false;
+      _BidirectionalIterator __i = __first;
+      ++__i;
+      if (__i == __last)
+ return false;
+      __i = __last;
+      --__i;
+      for(;;)
+ {
+   _BidirectionalIterator __ii = __i;
+   --__i;
+   if (*__i < *__ii)
+     {
+       _BidirectionalIterator __j = __last;
+       while (!(*__i < *--__j))
+  {}
+       std::iter_swap(__i, __j);
+       std::reverse(__ii, __last);
+       return true;
+     }
+   if (__i == __first)
+     {
+       std::reverse(__first, __last);
+       return false;
+     }
+ }
+    }
+  template<typename _BidirectionalIterator, typename _Compare>
+    bool
+    next_permutation(_BidirectionalIterator __first,
+       _BidirectionalIterator __last, _Compare __comp)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return false;
+      _BidirectionalIterator __i = __first;
+      ++__i;
+      if (__i == __last)
+ return false;
+      __i = __last;
+      --__i;
+      for(;;)
+ {
+   _BidirectionalIterator __ii = __i;
+   --__i;
+   if (__comp(*__i, *__ii))
+     {
+       _BidirectionalIterator __j = __last;
+       while (!bool(__comp(*__i, *--__j)))
+  {}
+       std::iter_swap(__i, __j);
+       std::reverse(__ii, __last);
+       return true;
+     }
+   if (__i == __first)
+     {
+       std::reverse(__first, __last);
+       return false;
+     }
+ }
+    }
+  template<typename _BidirectionalIterator>
+    bool
+    prev_permutation(_BidirectionalIterator __first,
+       _BidirectionalIterator __last)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return false;
+      _BidirectionalIterator __i = __first;
+      ++__i;
+      if (__i == __last)
+ return false;
+      __i = __last;
+      --__i;
+      for(;;)
+ {
+   _BidirectionalIterator __ii = __i;
+   --__i;
+   if (*__ii < *__i)
+     {
+       _BidirectionalIterator __j = __last;
+       while (!(*--__j < *__i))
+  {}
+       std::iter_swap(__i, __j);
+       std::reverse(__ii, __last);
+       return true;
+     }
+   if (__i == __first)
+     {
+       std::reverse(__first, __last);
+       return false;
+     }
+ }
+    }
+  template<typename _BidirectionalIterator, typename _Compare>
+    bool
+    prev_permutation(_BidirectionalIterator __first,
+       _BidirectionalIterator __last, _Compare __comp)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return false;
+      _BidirectionalIterator __i = __first;
+      ++__i;
+      if (__i == __last)
+ return false;
+      __i = __last;
+      --__i;
+      for(;;)
+ {
+   _BidirectionalIterator __ii = __i;
+   --__i;
+   if (__comp(*__ii, *__i))
+     {
+       _BidirectionalIterator __j = __last;
+       while (!bool(__comp(*--__j, *__i)))
+  {}
+       std::iter_swap(__i, __j);
+       std::reverse(__ii, __last);
+       return true;
+     }
+   if (__i == __first)
+     {
+       std::reverse(__first, __last);
+       return false;
+     }
+ }
+    }
+  template<typename _InputIterator, typename _OutputIterator, typename _Tp>
+    _OutputIterator
+    replace_copy(_InputIterator __first, _InputIterator __last,
+   _OutputIterator __result,
+   const _Tp& __old_value, const _Tp& __new_value)
+    {
+     
+     
+     
+      ;
+      for (; __first != __last; ++__first, ++__result)
+ if (*__first == __old_value)
+   *__result = __new_value;
+ else
+   *__result = *__first;
+      return __result;
+    }
+  template<typename _InputIterator, typename _OutputIterator,
+    typename _Predicate, typename _Tp>
+    _OutputIterator
+    replace_copy_if(_InputIterator __first, _InputIterator __last,
+      _OutputIterator __result,
+      _Predicate __pred, const _Tp& __new_value)
+    {
+     
+     
+     
+      ;
+      for (; __first != __last; ++__first, ++__result)
+ if (__pred(*__first))
+   *__result = __new_value;
+ else
+   *__result = *__first;
+      return __result;
+    }
+}
+namespace std {
+  template<typename _InputIterator, typename _Function>
+    _Function
+    for_each(_InputIterator __first, _InputIterator __last, _Function __f)
+    {
+     
+      ;
+      for (; __first != __last; ++__first)
+ __f(*__first);
+      return __f;
+    }
+  template<typename _InputIterator, typename _Tp>
+    inline _InputIterator
+    find(_InputIterator __first, _InputIterator __last,
+  const _Tp& __val)
+    {
+     
+     
+      ;
+      return std::__find(__first, __last, __val,
+           std::__iterator_category(__first));
+    }
+  template<typename _InputIterator, typename _Predicate>
+    inline _InputIterator
+    find_if(_InputIterator __first, _InputIterator __last,
+     _Predicate __pred)
+    {
+     
+     
+      ;
+      return std::__find_if(__first, __last, __pred,
+       std::__iterator_category(__first));
+    }
+  template<typename _InputIterator, typename _ForwardIterator>
+    _InputIterator
+    find_first_of(_InputIterator __first1, _InputIterator __last1,
+    _ForwardIterator __first2, _ForwardIterator __last2)
+    {
+     
+     
+     
+      ;
+      ;
+      for (; __first1 != __last1; ++__first1)
+ for (_ForwardIterator __iter = __first2; __iter != __last2; ++__iter)
+   if (*__first1 == *__iter)
+     return __first1;
+      return __last1;
+    }
+  template<typename _InputIterator, typename _ForwardIterator,
+    typename _BinaryPredicate>
+    _InputIterator
+    find_first_of(_InputIterator __first1, _InputIterator __last1,
+    _ForwardIterator __first2, _ForwardIterator __last2,
+    _BinaryPredicate __comp)
+    {
+     
+     
+     
+      ;
+      ;
+      for (; __first1 != __last1; ++__first1)
+ for (_ForwardIterator __iter = __first2; __iter != __last2; ++__iter)
+   if (__comp(*__first1, *__iter))
+     return __first1;
+      return __last1;
+    }
+  template<typename _ForwardIterator>
+    _ForwardIterator
+    adjacent_find(_ForwardIterator __first, _ForwardIterator __last)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __last;
+      _ForwardIterator __next = __first;
+      while(++__next != __last)
+ {
+   if (*__first == *__next)
+     return __first;
+   __first = __next;
+ }
+      return __last;
+    }
+  template<typename _ForwardIterator, typename _BinaryPredicate>
+    _ForwardIterator
+    adjacent_find(_ForwardIterator __first, _ForwardIterator __last,
+    _BinaryPredicate __binary_pred)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __last;
+      _ForwardIterator __next = __first;
+      while(++__next != __last)
+ {
+   if (__binary_pred(*__first, *__next))
+     return __first;
+   __first = __next;
+ }
+      return __last;
+    }
+  template<typename _InputIterator, typename _Tp>
+    typename iterator_traits<_InputIterator>::difference_type
+    count(_InputIterator __first, _InputIterator __last, const _Tp& __value)
+    {
+     
+     
+      ;
+      typename iterator_traits<_InputIterator>::difference_type __n = 0;
+      for (; __first != __last; ++__first)
+ if (*__first == __value)
+   ++__n;
+      return __n;
+    }
+  template<typename _InputIterator, typename _Predicate>
+    typename iterator_traits<_InputIterator>::difference_type
+    count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
+    {
+     
+     
+      ;
+      typename iterator_traits<_InputIterator>::difference_type __n = 0;
+      for (; __first != __last; ++__first)
+ if (__pred(*__first))
+   ++__n;
+      return __n;
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2>
+    _ForwardIterator1
+    search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+    _ForwardIterator2 __first2, _ForwardIterator2 __last2)
+    {
+     
+     
+     
+      ;
+      ;
+      if (__first1 == __last1 || __first2 == __last2)
+ return __first1;
+      _ForwardIterator2 __p1(__first2);
+      if (++__p1 == __last2)
+ return std::find(__first1, __last1, *__first2);
+      _ForwardIterator2 __p;
+      _ForwardIterator1 __current = __first1;
+      for (;;)
+ {
+   __first1 = std::find(__first1, __last1, *__first2);
+   if (__first1 == __last1)
+     return __last1;
+   __p = __p1;
+   __current = __first1;
+   if (++__current == __last1)
+     return __last1;
+   while (*__current == *__p)
+     {
+       if (++__p == __last2)
+  return __first1;
+       if (++__current == __last1)
+  return __last1;
+     }
+   ++__first1;
+ }
+      return __first1;
+    }
+  template<typename _ForwardIterator1, typename _ForwardIterator2,
+    typename _BinaryPredicate>
+    _ForwardIterator1
+    search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+    _ForwardIterator2 __first2, _ForwardIterator2 __last2,
+    _BinaryPredicate __predicate)
+    {
+     
+     
+     
+      ;
+      ;
+      if (__first1 == __last1 || __first2 == __last2)
+ return __first1;
+      _ForwardIterator2 __p1(__first2);
+      if (++__p1 == __last2)
+ {
+   while (__first1 != __last1
+   && !bool(__predicate(*__first1, *__first2)))
+     ++__first1;
+   return __first1;
+ }
+      _ForwardIterator2 __p;
+      _ForwardIterator1 __current = __first1;
+      for (;;)
+ {
+   while (__first1 != __last1
+   && !bool(__predicate(*__first1, *__first2)))
+     ++__first1;
+   if (__first1 == __last1)
+     return __last1;
+   __p = __p1;
+   __current = __first1;
+   if (++__current == __last1)
+     return __last1;
+   while (__predicate(*__current, *__p))
+     {
+       if (++__p == __last2)
+  return __first1;
+       if (++__current == __last1)
+  return __last1;
+     }
+   ++__first1;
+ }
+      return __first1;
+    }
+  template<typename _ForwardIterator, typename _Integer, typename _Tp>
+    _ForwardIterator
+    search_n(_ForwardIterator __first, _ForwardIterator __last,
+      _Integer __count, const _Tp& __val)
+    {
+     
+     
+      ;
+      if (__count <= 0)
+ return __first;
+      if (__count == 1)
+ return std::find(__first, __last, __val);
+      return std::__search_n(__first, __last, __count, __val,
+        std::__iterator_category(__first));
+    }
+  template<typename _ForwardIterator, typename _Integer, typename _Tp,
+           typename _BinaryPredicate>
+    _ForwardIterator
+    search_n(_ForwardIterator __first, _ForwardIterator __last,
+      _Integer __count, const _Tp& __val,
+      _BinaryPredicate __binary_pred)
+    {
+     
+     
+      ;
+      if (__count <= 0)
+ return __first;
+      if (__count == 1)
+ {
+   while (__first != __last && !bool(__binary_pred(*__first, __val)))
+     ++__first;
+   return __first;
+ }
+      return std::__search_n(__first, __last, __count, __val, __binary_pred,
+        std::__iterator_category(__first));
+    }
+  template<typename _InputIterator, typename _OutputIterator,
+    typename _UnaryOperation>
+    _OutputIterator
+    transform(_InputIterator __first, _InputIterator __last,
+       _OutputIterator __result, _UnaryOperation __unary_op)
+    {
+     
+     
+      ;
+      for (; __first != __last; ++__first, ++__result)
+ *__result = __unary_op(*__first);
+      return __result;
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator, typename _BinaryOperation>
+    _OutputIterator
+    transform(_InputIterator1 __first1, _InputIterator1 __last1,
+       _InputIterator2 __first2, _OutputIterator __result,
+       _BinaryOperation __binary_op)
+    {
+     
+     
+     
+      ;
+      for (; __first1 != __last1; ++__first1, ++__first2, ++__result)
+ *__result = __binary_op(*__first1, *__first2);
+      return __result;
+    }
+  template<typename _ForwardIterator, typename _Tp>
+    void
+    replace(_ForwardIterator __first, _ForwardIterator __last,
+     const _Tp& __old_value, const _Tp& __new_value)
+    {
+     
+     
+     
+      ;
+      for (; __first != __last; ++__first)
+ if (*__first == __old_value)
+   *__first = __new_value;
+    }
+  template<typename _ForwardIterator, typename _Predicate, typename _Tp>
+    void
+    replace_if(_ForwardIterator __first, _ForwardIterator __last,
+        _Predicate __pred, const _Tp& __new_value)
+    {
+     
+     
+     
+      ;
+      for (; __first != __last; ++__first)
+ if (__pred(*__first))
+   *__first = __new_value;
+    }
+  template<typename _ForwardIterator, typename _Generator>
+    void
+    generate(_ForwardIterator __first, _ForwardIterator __last,
+      _Generator __gen)
+    {
+     
+     
+      ;
+      for (; __first != __last; ++__first)
+ *__first = __gen();
+    }
+  template<typename _OutputIterator, typename _Size, typename _Generator>
+    _OutputIterator
+    generate_n(_OutputIterator __first, _Size __n, _Generator __gen)
+    {
+     
+      for (; __n > 0; --__n, ++__first)
+ *__first = __gen();
+      return __first;
+    }
+  template<typename _InputIterator, typename _OutputIterator>
+    inline _OutputIterator
+    unique_copy(_InputIterator __first, _InputIterator __last,
+  _OutputIterator __result)
+    {
+     
+     
+     
+      ;
+      if (__first == __last)
+ return __result;
+      return std::__unique_copy(__first, __last, __result,
+    std::__iterator_category(__first),
+    std::__iterator_category(__result));
+    }
+  template<typename _InputIterator, typename _OutputIterator,
+    typename _BinaryPredicate>
+    inline _OutputIterator
+    unique_copy(_InputIterator __first, _InputIterator __last,
+  _OutputIterator __result,
+  _BinaryPredicate __binary_pred)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __result;
+      return std::__unique_copy(__first, __last, __result, __binary_pred,
+    std::__iterator_category(__first),
+    std::__iterator_category(__result));
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    random_shuffle(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+     
+      ;
+      if (__first != __last)
+ for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
+   std::iter_swap(__i, __first + (std::rand() % ((__i - __first) + 1)));
+    }
+  template<typename _RandomAccessIterator, typename _RandomNumberGenerator>
+    void
+    random_shuffle(_RandomAccessIterator __first, _RandomAccessIterator __last,
+     _RandomNumberGenerator& __rand)
+    {
+     
+      ;
+      if (__first == __last)
+ return;
+      for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
+ std::iter_swap(__i, __first + __rand((__i - __first) + 1));
+    }
+  template<typename _ForwardIterator, typename _Predicate>
+    inline _ForwardIterator
+    partition(_ForwardIterator __first, _ForwardIterator __last,
+       _Predicate __pred)
+    {
+     
+     
+      ;
+      return std::__partition(__first, __last, __pred,
+         std::__iterator_category(__first));
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    partial_sort(_RandomAccessIterator __first,
+   _RandomAccessIterator __middle,
+   _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      std::__heap_select(__first, __middle, __last);
+      std::sort_heap(__first, __middle);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    partial_sort(_RandomAccessIterator __first,
+   _RandomAccessIterator __middle,
+   _RandomAccessIterator __last,
+   _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      std::__heap_select(__first, __middle, __last, __comp);
+      std::sort_heap(__first, __middle, __comp);
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth,
+  _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      if (__first == __last || __nth == __last)
+ return;
+      std::__introselect(__first, __nth, __last,
+    std::__lg(__last - __first) * 2);
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth,
+  _RandomAccessIterator __last, _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      ;
+      if (__first == __last || __nth == __last)
+ return;
+      std::__introselect(__first, __nth, __last,
+    std::__lg(__last - __first) * 2, __comp);
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      if (__first != __last)
+ {
+   std::__introsort_loop(__first, __last,
+    std::__lg(__last - __first) * 2);
+   std::__final_insertion_sort(__first, __last);
+ }
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    sort(_RandomAccessIterator __first, _RandomAccessIterator __last,
+  _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+     
+     
+      ;
+      if (__first != __last)
+ {
+   std::__introsort_loop(__first, __last,
+    std::__lg(__last - __first) * 2, __comp);
+   std::__final_insertion_sort(__first, __last, __comp);
+ }
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator>
+    _OutputIterator
+    merge(_InputIterator1 __first1, _InputIterator1 __last1,
+   _InputIterator2 __first2, _InputIterator2 __last2,
+   _OutputIterator __result)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ {
+   if (*__first2 < *__first1)
+     {
+       *__result = *__first2;
+       ++__first2;
+     }
+   else
+     {
+       *__result = *__first1;
+       ++__first1;
+     }
+   ++__result;
+ }
+      return std::copy(__first2, __last2, std::copy(__first1, __last1,
+          __result));
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator, typename _Compare>
+    _OutputIterator
+    merge(_InputIterator1 __first1, _InputIterator1 __last1,
+   _InputIterator2 __first2, _InputIterator2 __last2,
+   _OutputIterator __result, _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ {
+   if (__comp(*__first2, *__first1))
+     {
+       *__result = *__first2;
+       ++__first2;
+     }
+   else
+     {
+       *__result = *__first1;
+       ++__first1;
+     }
+   ++__result;
+ }
+      return std::copy(__first2, __last2, std::copy(__first1, __last1,
+          __result));
+    }
+  template<typename _RandomAccessIterator>
+    inline void
+    stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _DistanceType;
+     
+     
+      ;
+      _Temporary_buffer<_RandomAccessIterator, _ValueType> __buf(__first,
+         __last);
+      if (__buf.begin() == 0)
+ std::__inplace_stable_sort(__first, __last);
+      else
+ std::__stable_sort_adaptive(__first, __last, __buf.begin(),
+        _DistanceType(__buf.size()));
+    }
+  template<typename _RandomAccessIterator, typename _Compare>
+    inline void
+    stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last,
+  _Compare __comp)
+    {
+      typedef typename iterator_traits<_RandomAccessIterator>::value_type
+ _ValueType;
+      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
+ _DistanceType;
+     
+     
+      ;
+      _Temporary_buffer<_RandomAccessIterator, _ValueType> __buf(__first,
+         __last);
+      if (__buf.begin() == 0)
+ std::__inplace_stable_sort(__first, __last, __comp);
+      else
+ std::__stable_sort_adaptive(__first, __last, __buf.begin(),
+        _DistanceType(__buf.size()), __comp);
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator>
+    _OutputIterator
+    set_union(_InputIterator1 __first1, _InputIterator1 __last1,
+       _InputIterator2 __first2, _InputIterator2 __last2,
+       _OutputIterator __result)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ {
+   if (*__first1 < *__first2)
+     {
+       *__result = *__first1;
+       ++__first1;
+     }
+   else if (*__first2 < *__first1)
+     {
+       *__result = *__first2;
+       ++__first2;
+     }
+   else
+     {
+       *__result = *__first1;
+       ++__first1;
+       ++__first2;
+     }
+   ++__result;
+ }
+      return std::copy(__first2, __last2, std::copy(__first1, __last1,
+          __result));
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator, typename _Compare>
+    _OutputIterator
+    set_union(_InputIterator1 __first1, _InputIterator1 __last1,
+       _InputIterator2 __first2, _InputIterator2 __last2,
+       _OutputIterator __result, _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ {
+   if (__comp(*__first1, *__first2))
+     {
+       *__result = *__first1;
+       ++__first1;
+     }
+   else if (__comp(*__first2, *__first1))
+     {
+       *__result = *__first2;
+       ++__first2;
+     }
+   else
+     {
+       *__result = *__first1;
+       ++__first1;
+       ++__first2;
+     }
+   ++__result;
+ }
+      return std::copy(__first2, __last2, std::copy(__first1, __last1,
+          __result));
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator>
+    _OutputIterator
+    set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
+       _InputIterator2 __first2, _InputIterator2 __last2,
+       _OutputIterator __result)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (*__first1 < *__first2)
+   ++__first1;
+ else if (*__first2 < *__first1)
+   ++__first2;
+ else
+   {
+     *__result = *__first1;
+     ++__first1;
+     ++__first2;
+     ++__result;
+   }
+      return __result;
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator, typename _Compare>
+    _OutputIterator
+    set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
+       _InputIterator2 __first2, _InputIterator2 __last2,
+       _OutputIterator __result, _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (__comp(*__first1, *__first2))
+   ++__first1;
+ else if (__comp(*__first2, *__first1))
+   ++__first2;
+ else
+   {
+     *__result = *__first1;
+     ++__first1;
+     ++__first2;
+     ++__result;
+   }
+      return __result;
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator>
+    _OutputIterator
+    set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
+     _InputIterator2 __first2, _InputIterator2 __last2,
+     _OutputIterator __result)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (*__first1 < *__first2)
+   {
+     *__result = *__first1;
+     ++__first1;
+     ++__result;
+   }
+ else if (*__first2 < *__first1)
+   ++__first2;
+ else
+   {
+     ++__first1;
+     ++__first2;
+   }
+      return std::copy(__first1, __last1, __result);
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator, typename _Compare>
+    _OutputIterator
+    set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
+     _InputIterator2 __first2, _InputIterator2 __last2,
+     _OutputIterator __result, _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (__comp(*__first1, *__first2))
+   {
+     *__result = *__first1;
+     ++__first1;
+     ++__result;
+   }
+ else if (__comp(*__first2, *__first1))
+   ++__first2;
+ else
+   {
+     ++__first1;
+     ++__first2;
+   }
+      return std::copy(__first1, __last1, __result);
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator>
+    _OutputIterator
+    set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
+        _InputIterator2 __first2, _InputIterator2 __last2,
+        _OutputIterator __result)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (*__first1 < *__first2)
+   {
+     *__result = *__first1;
+     ++__first1;
+     ++__result;
+   }
+ else if (*__first2 < *__first1)
+   {
+     *__result = *__first2;
+     ++__first2;
+     ++__result;
+   }
+ else
+   {
+     ++__first1;
+     ++__first2;
+   }
+      return std::copy(__first2, __last2, std::copy(__first1,
+          __last1, __result));
+    }
+  template<typename _InputIterator1, typename _InputIterator2,
+    typename _OutputIterator, typename _Compare>
+    _OutputIterator
+    set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
+        _InputIterator2 __first2, _InputIterator2 __last2,
+        _OutputIterator __result,
+        _Compare __comp)
+    {
+      typedef typename iterator_traits<_InputIterator1>::value_type
+ _ValueType1;
+      typedef typename iterator_traits<_InputIterator2>::value_type
+ _ValueType2;
+     
+     
+     
+     
+     
+     
+      ;
+      ;
+      while (__first1 != __last1 && __first2 != __last2)
+ if (__comp(*__first1, *__first2))
+   {
+     *__result = *__first1;
+     ++__first1;
+     ++__result;
+   }
+ else if (__comp(*__first2, *__first1))
+   {
+     *__result = *__first2;
+     ++__first2;
+     ++__result;
+   }
+ else
+   {
+     ++__first1;
+     ++__first2;
+   }
+      return std::copy(__first2, __last2,
+         std::copy(__first1, __last1, __result));
+    }
+  template<typename _ForwardIterator>
+    _ForwardIterator
+    min_element(_ForwardIterator __first, _ForwardIterator __last)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __first;
+      _ForwardIterator __result = __first;
+      while (++__first != __last)
+ if (*__first < *__result)
+   __result = __first;
+      return __result;
+    }
+  template<typename _ForwardIterator, typename _Compare>
+    _ForwardIterator
+    min_element(_ForwardIterator __first, _ForwardIterator __last,
+  _Compare __comp)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __first;
+      _ForwardIterator __result = __first;
+      while (++__first != __last)
+ if (__comp(*__first, *__result))
+   __result = __first;
+      return __result;
+    }
+  template<typename _ForwardIterator>
+    _ForwardIterator
+    max_element(_ForwardIterator __first, _ForwardIterator __last)
+    {
+     
+     
+      ;
+      if (__first == __last)
+ return __first;
+      _ForwardIterator __result = __first;
+      while (++__first != __last)
+ if (*__result < *__first)
+   __result = __first;
+      return __result;
+    }
+  template<typename _ForwardIterator, typename _Compare>
+    _ForwardIterator
+    max_element(_ForwardIterator __first, _ForwardIterator __last,
+  _Compare __comp)
+    {
+     
+     
+      ;
+      if (__first == __last) return __first;
+      _ForwardIterator __result = __first;
+      while (++__first != __last)
+ if (__comp(*__result, *__first))
+   __result = __first;
+      return __result;
+    }
+}
+       
+namespace std {
+  template<typename _Tp, typename _Alloc>
+    struct _Vector_base
+    {
+      typedef typename _Alloc::template rebind<_Tp>::other _Tp_alloc_type;
+      struct _Vector_impl
+      : public _Tp_alloc_type
+      {
+ _Tp* _M_start;
+ _Tp* _M_finish;
+ _Tp* _M_end_of_storage;
+ _Vector_impl()
+ : _Tp_alloc_type(), _M_start(0), _M_finish(0), _M_end_of_storage(0)
+ { }
+ _Vector_impl(_Tp_alloc_type const& __a)
+ : _Tp_alloc_type(__a), _M_start(0), _M_finish(0), _M_end_of_storage(0)
+ { }
+      };
+    public:
+      typedef _Alloc allocator_type;
+      _Tp_alloc_type&
+      _M_get_Tp_allocator()
+      { return *static_cast<_Tp_alloc_type*>(&this->_M_impl); }
+      const _Tp_alloc_type&
+      _M_get_Tp_allocator() const
+      { return *static_cast<const _Tp_alloc_type*>(&this->_M_impl); }
+      allocator_type
+      get_allocator() const
+      { return allocator_type(_M_get_Tp_allocator()); }
+      _Vector_base()
+      : _M_impl() { }
+      _Vector_base(const allocator_type& __a)
+      : _M_impl(__a) { }
+      _Vector_base(size_t __n, const allocator_type& __a)
+      : _M_impl(__a)
+      {
+ this->_M_impl._M_start = this->_M_allocate(__n);
+ this->_M_impl._M_finish = this->_M_impl._M_start;
+ this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
+      }
+      ~_Vector_base()
+      { _M_deallocate(this->_M_impl._M_start, this->_M_impl._M_end_of_storage
+        - this->_M_impl._M_start); }
+    public:
+      _Vector_impl _M_impl;
+      _Tp*
+      _M_allocate(size_t __n)
+      { return __n != 0 ? _M_impl.allocate(__n) : 0; }
+      void
+      _M_deallocate(_Tp* __p, size_t __n)
+      {
+ if (__p)
+   _M_impl.deallocate(__p, __n);
+      }
+    };
+  template<typename _Tp, typename _Alloc = std::allocator<_Tp> >
+    class vector : protected _Vector_base<_Tp, _Alloc>
+    {
+      typedef typename _Alloc::value_type _Alloc_value_type;
+     
+     
+      typedef _Vector_base<_Tp, _Alloc> _Base;
+      typedef vector<_Tp, _Alloc> vector_type;
+      typedef typename _Base::_Tp_alloc_type _Tp_alloc_type;
+    public:
+      typedef _Tp value_type;
+      typedef typename _Tp_alloc_type::pointer pointer;
+      typedef typename _Tp_alloc_type::const_pointer const_pointer;
+      typedef typename _Tp_alloc_type::reference reference;
+      typedef typename _Tp_alloc_type::const_reference const_reference;
+      typedef __gnu_cxx::__normal_iterator<pointer, vector_type> iterator;
+      typedef __gnu_cxx::__normal_iterator<const_pointer, vector_type>
+      const_iterator;
+      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+      typedef std::reverse_iterator<iterator> reverse_iterator;
+      typedef size_t size_type;
+      typedef ptrdiff_t difference_type;
+      typedef _Alloc allocator_type;
+    protected:
+      using _Base::_M_allocate;
+      using _Base::_M_deallocate;
+      using _Base::_M_impl;
+      using _Base::_M_get_Tp_allocator;
+    public:
+      vector()
+      : _Base() { }
+      explicit
+      vector(const allocator_type& __a)
+      : _Base(__a) { }
+      explicit
+      vector(size_type __n, const value_type& __value = value_type(),
+      const allocator_type& __a = allocator_type())
+      : _Base(__n, __a)
+      { _M_fill_initialize(__n, __value); }
+      vector(const vector& __x)
+      : _Base(__x.size(), __x._M_get_Tp_allocator())
+      { this->_M_impl._M_finish =
+   std::__uninitialized_copy_a(__x.begin(), __x.end(),
+          this->_M_impl._M_start,
+          _M_get_Tp_allocator());
+      }
+      template<typename _InputIterator>
+        vector(_InputIterator __first, _InputIterator __last,
+        const allocator_type& __a = allocator_type())
+ : _Base(__a)
+        {
+   typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+   _M_initialize_dispatch(__first, __last, _Integral());
+ }
+      ~vector()
+      { std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+        _M_get_Tp_allocator()); }
+      vector&
+      operator=(const vector& __x);
+      void
+      assign(size_type __n, const value_type& __val)
+      { _M_fill_assign(__n, __val); }
+      template<typename _InputIterator>
+        void
+        assign(_InputIterator __first, _InputIterator __last)
+        {
+   typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+   _M_assign_dispatch(__first, __last, _Integral());
+ }
+      using _Base::get_allocator;
+      iterator
+      begin()
+      { return iterator(this->_M_impl._M_start); }
+      const_iterator
+      begin() const
+      { return const_iterator(this->_M_impl._M_start); }
+      iterator
+      end()
+      { return iterator(this->_M_impl._M_finish); }
+      const_iterator
+      end() const
+      { return const_iterator(this->_M_impl._M_finish); }
+      reverse_iterator
+      rbegin()
+      { return reverse_iterator(end()); }
+      const_reverse_iterator
+      rbegin() const
+      { return const_reverse_iterator(end()); }
+      reverse_iterator
+      rend()
+      { return reverse_iterator(begin()); }
+      const_reverse_iterator
+      rend() const
+      { return const_reverse_iterator(begin()); }
+      size_type
+      size() const
+      { return size_type(this->_M_impl._M_finish - this->_M_impl._M_start); }
+      size_type
+      max_size() const
+      { return _M_get_Tp_allocator().max_size(); }
+      void
+      resize(size_type __new_size, value_type __x = value_type())
+      {
+ if (__new_size < size())
+   _M_erase_at_end(this->_M_impl._M_start + __new_size);
+ else
+   insert(end(), __new_size - size(), __x);
+      }
+      size_type
+      capacity() const
+      { return size_type(this->_M_impl._M_end_of_storage
+    - this->_M_impl._M_start); }
+      bool
+      empty() const
+      { return begin() == end(); }
+      void
+      reserve(size_type __n);
+      reference
+      operator[](size_type __n)
+      { return *(this->_M_impl._M_start + __n); }
+      const_reference
+      operator[](size_type __n) const
+      { return *(this->_M_impl._M_start + __n); }
+    protected:
+      void
+      _M_range_check(size_type __n) const
+      {
+ if (__n >= this->size())
+   __throw_out_of_range(("vector::_M_range_check"));
+      }
+    public:
+      reference
+      at(size_type __n)
+      {
+ _M_range_check(__n);
+ return (*this)[__n];
+      }
+      const_reference
+      at(size_type __n) const
+      {
+ _M_range_check(__n);
+ return (*this)[__n];
+      }
+      reference
+      front()
+      { return *begin(); }
+      const_reference
+      front() const
+      { return *begin(); }
+      reference
+      back()
+      { return *(end() - 1); }
+      const_reference
+      back() const
+      { return *(end() - 1); }
+      pointer
+      data()
+      { return pointer(this->_M_impl._M_start); }
+      const_pointer
+      data() const
+      { return const_pointer(this->_M_impl._M_start); }
+      void
+      push_back(const value_type& __x)
+      {
+ if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
+   {
+     this->_M_impl.construct(this->_M_impl._M_finish, __x);
+     ++this->_M_impl._M_finish;
+   }
+ else
+   _M_insert_aux(end(), __x);
+      }
+      void
+      pop_back()
+      {
+ --this->_M_impl._M_finish;
+ this->_M_impl.destroy(this->_M_impl._M_finish);
+      }
+      iterator
+      insert(iterator __position, const value_type& __x);
+      void
+      insert(iterator __position, size_type __n, const value_type& __x)
+      { _M_fill_insert(__position, __n, __x); }
+      template<typename _InputIterator>
+        void
+        insert(iterator __position, _InputIterator __first,
+        _InputIterator __last)
+        {
+   typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+   _M_insert_dispatch(__position, __first, __last, _Integral());
+ }
+      iterator
+      erase(iterator __position);
+      iterator
+      erase(iterator __first, iterator __last);
+      void
+      swap(vector& __x)
+      {
+ std::swap(this->_M_impl._M_start, __x._M_impl._M_start);
+ std::swap(this->_M_impl._M_finish, __x._M_impl._M_finish);
+ std::swap(this->_M_impl._M_end_of_storage,
+    __x._M_impl._M_end_of_storage);
+ std::__alloc_swap<_Tp_alloc_type>::_S_do_it(_M_get_Tp_allocator(),
+          __x._M_get_Tp_allocator());
+      }
+      void
+      clear()
+      { _M_erase_at_end(this->_M_impl._M_start); }
+    protected:
+      template<typename _ForwardIterator>
+        pointer
+        _M_allocate_and_copy(size_type __n,
+        _ForwardIterator __first, _ForwardIterator __last)
+        {
+   pointer __result = this->_M_allocate(__n);
+   try
+     {
+       std::__uninitialized_copy_a(__first, __last, __result,
+       _M_get_Tp_allocator());
+       return __result;
+     }
+   catch(...)
+     {
+       _M_deallocate(__result, __n);
+       throw;
+     }
+ }
+      template<typename _Integer>
+        void
+        _M_initialize_dispatch(_Integer __n, _Integer __value, __true_type)
+        {
+   this->_M_impl._M_start = _M_allocate(static_cast<size_type>(__n));
+   this->_M_impl._M_end_of_storage =
+     this->_M_impl._M_start + static_cast<size_type>(__n);
+   _M_fill_initialize(static_cast<size_type>(__n), __value);
+ }
+      template<typename _InputIterator>
+        void
+        _M_initialize_dispatch(_InputIterator __first, _InputIterator __last,
+          __false_type)
+        {
+   typedef typename std::iterator_traits<_InputIterator>::
+     iterator_category _IterCategory;
+   _M_range_initialize(__first, __last, _IterCategory());
+ }
+      template<typename _InputIterator>
+        void
+        _M_range_initialize(_InputIterator __first,
+       _InputIterator __last, std::input_iterator_tag)
+        {
+   for (; __first != __last; ++__first)
+     push_back(*__first);
+ }
+      template<typename _ForwardIterator>
+        void
+        _M_range_initialize(_ForwardIterator __first,
+       _ForwardIterator __last, std::forward_iterator_tag)
+        {
+   const size_type __n = std::distance(__first, __last);
+   this->_M_impl._M_start = this->_M_allocate(__n);
+   this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
+   this->_M_impl._M_finish =
+     std::__uninitialized_copy_a(__first, __last,
+     this->_M_impl._M_start,
+     _M_get_Tp_allocator());
+ }
+      void
+      _M_fill_initialize(size_type __n, const value_type& __value)
+      {
+ std::__uninitialized_fill_n_a(this->_M_impl._M_start, __n, __value,
+          _M_get_Tp_allocator());
+ this->_M_impl._M_finish = this->_M_impl._M_end_of_storage;
+      }
+      template<typename _Integer>
+        void
+        _M_assign_dispatch(_Integer __n, _Integer __val, __true_type)
+        { _M_fill_assign(__n, __val); }
+      template<typename _InputIterator>
+        void
+        _M_assign_dispatch(_InputIterator __first, _InputIterator __last,
+      __false_type)
+        {
+   typedef typename std::iterator_traits<_InputIterator>::
+     iterator_category _IterCategory;
+   _M_assign_aux(__first, __last, _IterCategory());
+ }
+      template<typename _InputIterator>
+        void
+        _M_assign_aux(_InputIterator __first, _InputIterator __last,
+        std::input_iterator_tag);
+      template<typename _ForwardIterator>
+        void
+        _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
+        std::forward_iterator_tag);
+      void
+      _M_fill_assign(size_type __n, const value_type& __val);
+      template<typename _Integer>
+        void
+        _M_insert_dispatch(iterator __pos, _Integer __n, _Integer __val,
+      __true_type)
+        { _M_fill_insert(__pos, __n, __val); }
+      template<typename _InputIterator>
+        void
+        _M_insert_dispatch(iterator __pos, _InputIterator __first,
+      _InputIterator __last, __false_type)
+        {
+   typedef typename std::iterator_traits<_InputIterator>::
+     iterator_category _IterCategory;
+   _M_range_insert(__pos, __first, __last, _IterCategory());
+ }
+      template<typename _InputIterator>
+        void
+        _M_range_insert(iterator __pos, _InputIterator __first,
+   _InputIterator __last, std::input_iterator_tag);
+      template<typename _ForwardIterator>
+        void
+        _M_range_insert(iterator __pos, _ForwardIterator __first,
+   _ForwardIterator __last, std::forward_iterator_tag);
+      void
+      _M_fill_insert(iterator __pos, size_type __n, const value_type& __x);
+      void
+      _M_insert_aux(iterator __position, const value_type& __x);
+      size_type
+      _M_check_len(size_type __n, const char* __s) const
+      {
+ if (max_size() - size() < __n)
+   __throw_length_error((__s));
+ const size_type __len = size() + std::max(size(), __n);
+ return (__len < size() || __len > max_size()) ? max_size() : __len;
+      }
+      void
+      _M_erase_at_end(pointer __pos)
+      {
+ std::_Destroy(__pos, this->_M_impl._M_finish, _M_get_Tp_allocator());
+ this->_M_impl._M_finish = __pos;
+      }
+    };
+  template<typename _Tp, typename _Alloc>
+    inline bool
+    operator==(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
+    { return (__x.size() == __y.size()
+       && std::equal(__x.begin(), __x.end(), __y.begin())); }
+  template<typename _Tp, typename _Alloc>
+    inline bool
+    operator<(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
+    { return std::lexicographical_compare(__x.begin(), __x.end(),
+       __y.begin(), __y.end()); }
+  template<typename _Tp, typename _Alloc>
+    inline bool
+    operator!=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
+    { return !(__x == __y); }
+  template<typename _Tp, typename _Alloc>
+    inline bool
+    operator>(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
+    { return __y < __x; }
+  template<typename _Tp, typename _Alloc>
+    inline bool
+    operator<=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
+    { return !(__y < __x); }
+  template<typename _Tp, typename _Alloc>
+    inline bool
+    operator>=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
+    { return !(__x < __y); }
+  template<typename _Tp, typename _Alloc>
+    inline void
+    swap(vector<_Tp, _Alloc>& __x, vector<_Tp, _Alloc>& __y)
+    { __x.swap(__y); }
+}
+namespace std {
+  typedef unsigned long _Bit_type;
+  enum { _S_word_bit = int(8 * sizeof(_Bit_type)) };
+  struct _Bit_reference
+  {
+    _Bit_type * _M_p;
+    _Bit_type _M_mask;
+    _Bit_reference(_Bit_type * __x, _Bit_type __y)
+    : _M_p(__x), _M_mask(__y) { }
+    _Bit_reference() : _M_p(0), _M_mask(0) { }
+    operator bool() const
+    { return !!(*_M_p & _M_mask); }
+    _Bit_reference&
+    operator=(bool __x)
+    {
+      if (__x)
+ *_M_p |= _M_mask;
+      else
+ *_M_p &= ~_M_mask;
+      return *this;
+    }
+    _Bit_reference&
+    operator=(const _Bit_reference& __x)
+    { return *this = bool(__x); }
+    bool
+    operator==(const _Bit_reference& __x) const
+    { return bool(*this) == bool(__x); }
+    bool
+    operator<(const _Bit_reference& __x) const
+    { return !bool(*this) && bool(__x); }
+    void
+    flip()
+    { *_M_p ^= _M_mask; }
+  };
+  struct _Bit_iterator_base
+  : public std::iterator<std::random_access_iterator_tag, bool>
+  {
+    _Bit_type * _M_p;
+    unsigned int _M_offset;
+    _Bit_iterator_base(_Bit_type * __x, unsigned int __y)
+    : _M_p(__x), _M_offset(__y) { }
+    void
+    _M_bump_up()
+    {
+      if (_M_offset++ == int(_S_word_bit) - 1)
+ {
+   _M_offset = 0;
+   ++_M_p;
+ }
+    }
+    void
+    _M_bump_down()
+    {
+      if (_M_offset-- == 0)
+ {
+   _M_offset = int(_S_word_bit) - 1;
+   --_M_p;
+ }
+    }
+    void
+    _M_incr(ptrdiff_t __i)
+    {
+      difference_type __n = __i + _M_offset;
+      _M_p += __n / int(_S_word_bit);
+      __n = __n % int(_S_word_bit);
+      if (__n < 0)
+ {
+   __n += int(_S_word_bit);
+   --_M_p;
+ }
+      _M_offset = static_cast<unsigned int>(__n);
+    }
+    bool
+    operator==(const _Bit_iterator_base& __i) const
+    { return _M_p == __i._M_p && _M_offset == __i._M_offset; }
+    bool
+    operator<(const _Bit_iterator_base& __i) const
+    {
+      return _M_p < __i._M_p
+      || (_M_p == __i._M_p && _M_offset < __i._M_offset);
+    }
+    bool
+    operator!=(const _Bit_iterator_base& __i) const
+    { return !(*this == __i); }
+    bool
+    operator>(const _Bit_iterator_base& __i) const
+    { return __i < *this; }
+    bool
+    operator<=(const _Bit_iterator_base& __i) const
+    { return !(__i < *this); }
+    bool
+    operator>=(const _Bit_iterator_base& __i) const
+    { return !(*this < __i); }
+  };
+  inline ptrdiff_t
+  operator-(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
+  {
+    return (int(_S_word_bit) * (__x._M_p - __y._M_p)
+     + __x._M_offset - __y._M_offset);
+  }
+  struct _Bit_iterator : public _Bit_iterator_base
+  {
+    typedef _Bit_reference reference;
+    typedef _Bit_reference* pointer;
+    typedef _Bit_iterator iterator;
+    _Bit_iterator() : _Bit_iterator_base(0, 0) { }
+    _Bit_iterator(_Bit_type * __x, unsigned int __y)
+    : _Bit_iterator_base(__x, __y) { }
+    reference
+    operator*() const
+    { return reference(_M_p, 1UL << _M_offset); }
+    iterator&
+    operator++()
+    {
+      _M_bump_up();
+      return *this;
+    }
+    iterator
+    operator++(int)
+    {
+      iterator __tmp = *this;
+      _M_bump_up();
+      return __tmp;
+    }
+    iterator&
+    operator--()
+    {
+      _M_bump_down();
+      return *this;
+    }
+    iterator
+    operator--(int)
+    {
+      iterator __tmp = *this;
+      _M_bump_down();
+      return __tmp;
+    }
+    iterator&
+    operator+=(difference_type __i)
+    {
+      _M_incr(__i);
+      return *this;
+    }
+    iterator&
+    operator-=(difference_type __i)
+    {
+      *this += -__i;
+      return *this;
+    }
+    iterator
+    operator+(difference_type __i) const
+    {
+      iterator __tmp = *this;
+      return __tmp += __i;
+    }
+    iterator
+    operator-(difference_type __i) const
+    {
+      iterator __tmp = *this;
+      return __tmp -= __i;
+    }
+    reference
+    operator[](difference_type __i) const
+    { return *(*this + __i); }
+  };
+  inline _Bit_iterator
+  operator+(ptrdiff_t __n, const _Bit_iterator& __x)
+  { return __x + __n; }
+  struct _Bit_const_iterator : public _Bit_iterator_base
+  {
+    typedef bool reference;
+    typedef bool const_reference;
+    typedef const bool* pointer;
+    typedef _Bit_const_iterator const_iterator;
+    _Bit_const_iterator() : _Bit_iterator_base(0, 0) { }
+    _Bit_const_iterator(_Bit_type * __x, unsigned int __y)
+    : _Bit_iterator_base(__x, __y) { }
+    _Bit_const_iterator(const _Bit_iterator& __x)
+    : _Bit_iterator_base(__x._M_p, __x._M_offset) { }
+    const_reference
+    operator*() const
+    { return _Bit_reference(_M_p, 1UL << _M_offset); }
+    const_iterator&
+    operator++()
+    {
+      _M_bump_up();
+      return *this;
+    }
+    const_iterator
+    operator++(int)
+    {
+      const_iterator __tmp = *this;
+      _M_bump_up();
+      return __tmp;
+    }
+    const_iterator&
+    operator--()
+    {
+      _M_bump_down();
+      return *this;
+    }
+    const_iterator
+    operator--(int)
+    {
+      const_iterator __tmp = *this;
+      _M_bump_down();
+      return __tmp;
+    }
+    const_iterator&
+    operator+=(difference_type __i)
+    {
+      _M_incr(__i);
+      return *this;
+    }
+    const_iterator&
+    operator-=(difference_type __i)
+    {
+      *this += -__i;
+      return *this;
+    }
+    const_iterator
+    operator+(difference_type __i) const
+    {
+      const_iterator __tmp = *this;
+      return __tmp += __i;
+    }
+    const_iterator
+    operator-(difference_type __i) const
+    {
+      const_iterator __tmp = *this;
+      return __tmp -= __i;
+    }
+    const_reference
+    operator[](difference_type __i) const
+    { return *(*this + __i); }
+  };
+  inline _Bit_const_iterator
+  operator+(ptrdiff_t __n, const _Bit_const_iterator& __x)
+  { return __x + __n; }
+  inline void
+  __fill_bvector(_Bit_iterator __first, _Bit_iterator __last, bool __x)
+  {
+    for (; __first != __last; ++__first)
+      *__first = __x;
+  }
+  inline void
+  fill(_Bit_iterator __first, _Bit_iterator __last, const bool& __x)
+  {
+    if (__first._M_p != __last._M_p)
+      {
+ std::fill(__first._M_p + 1, __last._M_p, __x ? ~0 : 0);
+ __fill_bvector(__first, _Bit_iterator(__first._M_p + 1, 0), __x);
+ __fill_bvector(_Bit_iterator(__last._M_p, 0), __last, __x);
+      }
+    else
+      __fill_bvector(__first, __last, __x);
+  }
+  template<typename _Alloc>
+    struct _Bvector_base
+    {
+      typedef typename _Alloc::template rebind<_Bit_type>::other
+        _Bit_alloc_type;
+      struct _Bvector_impl
+      : public _Bit_alloc_type
+      {
+ _Bit_iterator _M_start;
+ _Bit_iterator _M_finish;
+ _Bit_type* _M_end_of_storage;
+ _Bvector_impl()
+ : _Bit_alloc_type(), _M_start(), _M_finish(), _M_end_of_storage(0)
+ { }
+ _Bvector_impl(const _Bit_alloc_type& __a)
+ : _Bit_alloc_type(__a), _M_start(), _M_finish(), _M_end_of_storage(0)
+ { }
+      };
+    public:
+      typedef _Alloc allocator_type;
+      _Bit_alloc_type&
+      _M_get_Bit_allocator()
+      { return *static_cast<_Bit_alloc_type*>(&this->_M_impl); }
+      const _Bit_alloc_type&
+      _M_get_Bit_allocator() const
+      { return *static_cast<const _Bit_alloc_type*>(&this->_M_impl); }
+      allocator_type
+      get_allocator() const
+      { return allocator_type(_M_get_Bit_allocator()); }
+      _Bvector_base()
+      : _M_impl() { }
+      _Bvector_base(const allocator_type& __a)
+      : _M_impl(__a) { }
+      ~_Bvector_base()
+      { this->_M_deallocate(); }
+    protected:
+      _Bvector_impl _M_impl;
+      _Bit_type*
+      _M_allocate(size_t __n)
+      { return _M_impl.allocate((__n + int(_S_word_bit) - 1)
+    / int(_S_word_bit)); }
+      void
+      _M_deallocate()
+      {
+ if (_M_impl._M_start._M_p)
+   _M_impl.deallocate(_M_impl._M_start._M_p,
+        _M_impl._M_end_of_storage - _M_impl._M_start._M_p);
+      }
+    };
+}
+namespace std {
+template<typename _Alloc>
+  class vector<bool, _Alloc> : protected _Bvector_base<_Alloc>
+  {
+    typedef _Bvector_base<_Alloc> _Base;
+  public:
+    typedef bool value_type;
+    typedef size_t size_type;
+    typedef ptrdiff_t difference_type;
+    typedef _Bit_reference reference;
+    typedef bool const_reference;
+    typedef _Bit_reference* pointer;
+    typedef const bool* const_pointer;
+    typedef _Bit_iterator iterator;
+    typedef _Bit_const_iterator const_iterator;
+    typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+    typedef std::reverse_iterator<iterator> reverse_iterator;
+    typedef _Alloc allocator_type;
+    allocator_type get_allocator() const
+    { return _Base::get_allocator(); }
+  protected:
+    using _Base::_M_allocate;
+    using _Base::_M_deallocate;
+    using _Base::_M_get_Bit_allocator;
+  public:
+    vector()
+    : _Base() { }
+    explicit
+    vector(const allocator_type& __a)
+    : _Base(__a) { }
+    explicit
+    vector(size_type __n, const bool& __value = bool(),
+    const allocator_type& __a = allocator_type())
+    : _Base(__a)
+    {
+      _M_initialize(__n);
+      std::fill(this->_M_impl._M_start._M_p, this->_M_impl._M_end_of_storage,
+  __value ? ~0 : 0);
+    }
+    vector(const vector& __x)
+    : _Base(__x._M_get_Bit_allocator())
+    {
+      _M_initialize(__x.size());
+      _M_copy_aligned(__x.begin(), __x.end(), this->_M_impl._M_start);
+    }
+    template<typename _InputIterator>
+      vector(_InputIterator __first, _InputIterator __last,
+      const allocator_type& __a = allocator_type())
+      : _Base(__a)
+      {
+ typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+ _M_initialize_dispatch(__first, __last, _Integral());
+      }
+    ~vector() { }
+    vector&
+    operator=(const vector& __x)
+    {
+      if (&__x == this)
+ return *this;
+      if (__x.size() > capacity())
+ {
+   this->_M_deallocate();
+   _M_initialize(__x.size());
+ }
+      this->_M_impl._M_finish = _M_copy_aligned(__x.begin(), __x.end(),
+      begin());
+      return *this;
+    }
+    void
+    assign(size_type __n, const bool& __x)
+    { _M_fill_assign(__n, __x); }
+    template<typename _InputIterator>
+      void
+      assign(_InputIterator __first, _InputIterator __last)
+      {
+ typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+ _M_assign_dispatch(__first, __last, _Integral());
+      }
+    iterator
+    begin()
+    { return this->_M_impl._M_start; }
+    const_iterator
+    begin() const
+    { return this->_M_impl._M_start; }
+    iterator
+    end()
+    { return this->_M_impl._M_finish; }
+    const_iterator
+    end() const
+    { return this->_M_impl._M_finish; }
+    reverse_iterator
+    rbegin()
+    { return reverse_iterator(end()); }
+    const_reverse_iterator
+    rbegin() const
+    { return const_reverse_iterator(end()); }
+    reverse_iterator
+    rend()
+    { return reverse_iterator(begin()); }
+    const_reverse_iterator
+    rend() const
+    { return const_reverse_iterator(begin()); }
+    size_type
+    size() const
+    { return size_type(end() - begin()); }
+    size_type
+    max_size() const
+    {
+      const size_type __isize =
+ __gnu_cxx::__numeric_traits<difference_type>::__max
+ - int(_S_word_bit) + 1;
+      const size_type __asize = _M_get_Bit_allocator().max_size();
+      return (__asize <= __isize / int(_S_word_bit)
+       ? __asize * int(_S_word_bit) : __isize);
+    }
+    size_type
+    capacity() const
+    { return size_type(const_iterator(this->_M_impl._M_end_of_storage, 0)
+         - begin()); }
+    bool
+    empty() const
+    { return begin() == end(); }
+    reference
+    operator[](size_type __n)
+    {
+      return *iterator(this->_M_impl._M_start._M_p
+         + __n / int(_S_word_bit), __n % int(_S_word_bit));
+    }
+    const_reference
+    operator[](size_type __n) const
+    {
+      return *const_iterator(this->_M_impl._M_start._M_p
+        + __n / int(_S_word_bit), __n % int(_S_word_bit));
+    }
+  protected:
+    void
+    _M_range_check(size_type __n) const
+    {
+      if (__n >= this->size())
+        __throw_out_of_range(("vector<bool>::_M_range_check"));
+    }
+  public:
+    reference
+    at(size_type __n)
+    { _M_range_check(__n); return (*this)[__n]; }
+    const_reference
+    at(size_type __n) const
+    { _M_range_check(__n); return (*this)[__n]; }
+    void
+    reserve(size_type __n);
+    reference
+    front()
+    { return *begin(); }
+    const_reference
+    front() const
+    { return *begin(); }
+    reference
+    back()
+    { return *(end() - 1); }
+    const_reference
+    back() const
+    { return *(end() - 1); }
+    void
+    data() { }
+    void
+    push_back(bool __x)
+    {
+      if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_of_storage)
+        *this->_M_impl._M_finish++ = __x;
+      else
+        _M_insert_aux(end(), __x);
+    }
+    void
+    swap(vector& __x)
+    {
+      std::swap(this->_M_impl._M_start, __x._M_impl._M_start);
+      std::swap(this->_M_impl._M_finish, __x._M_impl._M_finish);
+      std::swap(this->_M_impl._M_end_of_storage,
+  __x._M_impl._M_end_of_storage);
+      std::__alloc_swap<typename _Base::_Bit_alloc_type>::
+ _S_do_it(_M_get_Bit_allocator(), __x._M_get_Bit_allocator());
+    }
+    static void
+    swap(reference __x, reference __y)
+    {
+      bool __tmp = __x;
+      __x = __y;
+      __y = __tmp;
+    }
+    iterator
+    insert(iterator __position, const bool& __x = bool())
+    {
+      const difference_type __n = __position - begin();
+      if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_of_storage
+   && __position == end())
+        *this->_M_impl._M_finish++ = __x;
+      else
+        _M_insert_aux(__position, __x);
+      return begin() + __n;
+    }
+    template<typename _InputIterator>
+      void
+      insert(iterator __position,
+      _InputIterator __first, _InputIterator __last)
+      {
+ typedef typename std::__is_integer<_InputIterator>::__type _Integral;
+ _M_insert_dispatch(__position, __first, __last, _Integral());
+      }
+    void
+    insert(iterator __position, size_type __n, const bool& __x)
+    { _M_fill_insert(__position, __n, __x); }
+    void
+    pop_back()
+    { --this->_M_impl._M_finish; }
+    iterator
+    erase(iterator __position)
+    {
+      if (__position + 1 != end())
+        std::copy(__position + 1, end(), __position);
+      --this->_M_impl._M_finish;
+      return __position;
+    }
+    iterator
+    erase(iterator __first, iterator __last)
+    {
+      _M_erase_at_end(std::copy(__last, end(), __first));
+      return __first;
+    }
+    void
+    resize(size_type __new_size, bool __x = bool())
+    {
+      if (__new_size < size())
+        _M_erase_at_end(begin() + difference_type(__new_size));
+      else
+        insert(end(), __new_size - size(), __x);
+    }
+    void
+    flip()
+    {
+      for (_Bit_type * __p = this->_M_impl._M_start._M_p;
+    __p != this->_M_impl._M_end_of_storage; ++__p)
+        *__p = ~*__p;
+    }
+    void
+    clear()
+    { _M_erase_at_end(begin()); }
+  protected:
+    iterator
+    _M_copy_aligned(const_iterator __first, const_iterator __last,
+      iterator __result)
+    {
+      _Bit_type* __q = std::copy(__first._M_p, __last._M_p, __result._M_p);
+      return std::copy(const_iterator(__last._M_p, 0), __last,
+         iterator(__q, 0));
+    }
+    void
+    _M_initialize(size_type __n)
+    {
+      _Bit_type* __q = this->_M_allocate(__n);
+      this->_M_impl._M_end_of_storage = (__q
+      + ((__n + int(_S_word_bit) - 1)
+         / int(_S_word_bit)));
+      this->_M_impl._M_start = iterator(__q, 0);
+      this->_M_impl._M_finish = this->_M_impl._M_start + difference_type(__n);
+    }
+    template<typename _Integer>
+      void
+      _M_initialize_dispatch(_Integer __n, _Integer __x, __true_type)
+      {
+ _M_initialize(static_cast<size_type>(__n));
+ std::fill(this->_M_impl._M_start._M_p,
+    this->_M_impl._M_end_of_storage, __x ? ~0 : 0);
+      }
+    template<typename _InputIterator>
+      void
+      _M_initialize_dispatch(_InputIterator __first, _InputIterator __last,
+        __false_type)
+      { _M_initialize_range(__first, __last,
+       std::__iterator_category(__first)); }
+    template<typename _InputIterator>
+      void
+      _M_initialize_range(_InputIterator __first, _InputIterator __last,
+     std::input_iterator_tag)
+      {
+ for (; __first != __last; ++__first)
+   push_back(*__first);
+      }
+    template<typename _ForwardIterator>
+      void
+      _M_initialize_range(_ForwardIterator __first, _ForwardIterator __last,
+     std::forward_iterator_tag)
+      {
+ const size_type __n = std::distance(__first, __last);
+ _M_initialize(__n);
+ std::copy(__first, __last, this->_M_impl._M_start);
+      }
+    template<typename _Integer>
+      void
+      _M_assign_dispatch(_Integer __n, _Integer __val, __true_type)
+      { _M_fill_assign(__n, __val); }
+    template<class _InputIterator>
+      void
+      _M_assign_dispatch(_InputIterator __first, _InputIterator __last,
+    __false_type)
+      { _M_assign_aux(__first, __last, std::__iterator_category(__first)); }
+    void
+    _M_fill_assign(size_t __n, bool __x)
+    {
+      if (__n > size())
+ {
+   std::fill(this->_M_impl._M_start._M_p,
+      this->_M_impl._M_end_of_storage, __x ? ~0 : 0);
+   insert(end(), __n - size(), __x);
+ }
+      else
+ {
+   _M_erase_at_end(begin() + __n);
+   std::fill(this->_M_impl._M_start._M_p,
+      this->_M_impl._M_end_of_storage, __x ? ~0 : 0);
+ }
+    }
+    template<typename _InputIterator>
+      void
+      _M_assign_aux(_InputIterator __first, _InputIterator __last,
+      std::input_iterator_tag)
+      {
+ iterator __cur = begin();
+ for (; __first != __last && __cur != end(); ++__cur, ++__first)
+   *__cur = *__first;
+ if (__first == __last)
+   _M_erase_at_end(__cur);
+ else
+   insert(end(), __first, __last);
+      }
+    template<typename _ForwardIterator>
+      void
+      _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
+      std::forward_iterator_tag)
+      {
+ const size_type __len = std::distance(__first, __last);
+ if (__len < size())
+   _M_erase_at_end(std::copy(__first, __last, begin()));
+ else
+   {
+     _ForwardIterator __mid = __first;
+     std::advance(__mid, size());
+     std::copy(__first, __mid, begin());
+     insert(end(), __mid, __last);
+   }
+      }
+    template<typename _Integer>
+      void
+      _M_insert_dispatch(iterator __pos, _Integer __n, _Integer __x,
+    __true_type)
+      { _M_fill_insert(__pos, __n, __x); }
+    template<typename _InputIterator>
+      void
+      _M_insert_dispatch(iterator __pos,
+    _InputIterator __first, _InputIterator __last,
+    __false_type)
+      { _M_insert_range(__pos, __first, __last,
+   std::__iterator_category(__first)); }
+    void
+    _M_fill_insert(iterator __position, size_type __n, bool __x);
+    template<typename _InputIterator>
+      void
+      _M_insert_range(iterator __pos, _InputIterator __first,
+        _InputIterator __last, std::input_iterator_tag)
+      {
+ for (; __first != __last; ++__first)
+   {
+     __pos = insert(__pos, *__first);
+     ++__pos;
+   }
+      }
+    template<typename _ForwardIterator>
+      void
+      _M_insert_range(iterator __position, _ForwardIterator __first,
+        _ForwardIterator __last, std::forward_iterator_tag);
+    void
+    _M_insert_aux(iterator __position, bool __x);
+    size_type
+    _M_check_len(size_type __n, const char* __s) const
+    {
+      if (max_size() - size() < __n)
+ __throw_length_error((__s));
+      const size_type __len = size() + std::max(size(), __n);
+      return (__len < size() || __len > max_size()) ? max_size() : __len;
+    }
+    void
+    _M_erase_at_end(iterator __pos)
+    { this->_M_impl._M_finish = __pos; }
+  };
+}
+namespace std {
+  template<typename _Tp, typename _Alloc>
+    void
+    vector<_Tp, _Alloc>::
+    reserve(size_type __n)
+    {
+      if (__n > this->max_size())
+ __throw_length_error(("vector::reserve"));
+      if (this->capacity() < __n)
+ {
+   const size_type __old_size = size();
+   pointer __tmp = _M_allocate_and_copy(__n,
+   (this->_M_impl._M_start),
+   (this->_M_impl._M_finish));
+   std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+   _M_get_Tp_allocator());
+   _M_deallocate(this->_M_impl._M_start,
+   this->_M_impl._M_end_of_storage
+   - this->_M_impl._M_start);
+   this->_M_impl._M_start = __tmp;
+   this->_M_impl._M_finish = __tmp + __old_size;
+   this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
+ }
+    }
+  template<typename _Tp, typename _Alloc>
+    typename vector<_Tp, _Alloc>::iterator
+    vector<_Tp, _Alloc>::
+    insert(iterator __position, const value_type& __x)
+    {
+      const size_type __n = __position - begin();
+      if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage
+   && __position == end())
+ {
+   this->_M_impl.construct(this->_M_impl._M_finish, __x);
+   ++this->_M_impl._M_finish;
+ }
+      else
+ {
+     _M_insert_aux(__position, __x);
+ }
+      return iterator(this->_M_impl._M_start + __n);
+    }
+  template<typename _Tp, typename _Alloc>
+    typename vector<_Tp, _Alloc>::iterator
+    vector<_Tp, _Alloc>::
+    erase(iterator __position)
+    {
+      if (__position + 1 != end())
+ std::copy(__position + 1, end(), __position);
+      --this->_M_impl._M_finish;
+      this->_M_impl.destroy(this->_M_impl._M_finish);
+      return __position;
+    }
+  template<typename _Tp, typename _Alloc>
+    typename vector<_Tp, _Alloc>::iterator
+    vector<_Tp, _Alloc>::
+    erase(iterator __first, iterator __last)
+    {
+      if (__last != end())
+ std::copy(__last, end(), __first);
+      _M_erase_at_end(__first.base() + (end() - __last));
+      return __first;
+    }
+  template<typename _Tp, typename _Alloc>
+    vector<_Tp, _Alloc>&
+    vector<_Tp, _Alloc>::
+    operator=(const vector<_Tp, _Alloc>& __x)
+    {
+      if (&__x != this)
+ {
+   const size_type __xlen = __x.size();
+   if (__xlen > capacity())
+     {
+       pointer __tmp = _M_allocate_and_copy(__xlen, __x.begin(),
+         __x.end());
+       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+       _M_get_Tp_allocator());
+       _M_deallocate(this->_M_impl._M_start,
+       this->_M_impl._M_end_of_storage
+       - this->_M_impl._M_start);
+       this->_M_impl._M_start = __tmp;
+       this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __xlen;
+     }
+   else if (size() >= __xlen)
+     {
+       std::_Destroy(std::copy(__x.begin(), __x.end(), begin()),
+       end(), _M_get_Tp_allocator());
+     }
+   else
+     {
+       std::copy(__x._M_impl._M_start, __x._M_impl._M_start + size(),
+   this->_M_impl._M_start);
+       std::__uninitialized_copy_a(__x._M_impl._M_start + size(),
+       __x._M_impl._M_finish,
+       this->_M_impl._M_finish,
+       _M_get_Tp_allocator());
+     }
+   this->_M_impl._M_finish = this->_M_impl._M_start + __xlen;
+ }
+      return *this;
+    }
+  template<typename _Tp, typename _Alloc>
+    void
+    vector<_Tp, _Alloc>::
+    _M_fill_assign(size_t __n, const value_type& __val)
+    {
+      if (__n > capacity())
+ {
+   vector __tmp(__n, __val, _M_get_Tp_allocator());
+   __tmp.swap(*this);
+ }
+      else if (__n > size())
+ {
+   std::fill(begin(), end(), __val);
+   std::__uninitialized_fill_n_a(this->_M_impl._M_finish,
+     __n - size(), __val,
+     _M_get_Tp_allocator());
+   this->_M_impl._M_finish += __n - size();
+ }
+      else
+        _M_erase_at_end(std::fill_n(this->_M_impl._M_start, __n, __val));
+    }
+  template<typename _Tp, typename _Alloc>
+    template<typename _InputIterator>
+      void
+      vector<_Tp, _Alloc>::
+      _M_assign_aux(_InputIterator __first, _InputIterator __last,
+      std::input_iterator_tag)
+      {
+ pointer __cur(this->_M_impl._M_start);
+ for (; __first != __last && __cur != this->_M_impl._M_finish;
+      ++__cur, ++__first)
+   *__cur = *__first;
+ if (__first == __last)
+   _M_erase_at_end(__cur);
+ else
+   insert(end(), __first, __last);
+      }
+  template<typename _Tp, typename _Alloc>
+    template<typename _ForwardIterator>
+      void
+      vector<_Tp, _Alloc>::
+      _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
+      std::forward_iterator_tag)
+      {
+ const size_type __len = std::distance(__first, __last);
+ if (__len > capacity())
+   {
+     pointer __tmp(_M_allocate_and_copy(__len, __first, __last));
+     std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+     _M_get_Tp_allocator());
+     _M_deallocate(this->_M_impl._M_start,
+     this->_M_impl._M_end_of_storage
+     - this->_M_impl._M_start);
+     this->_M_impl._M_start = __tmp;
+     this->_M_impl._M_finish = this->_M_impl._M_start + __len;
+     this->_M_impl._M_end_of_storage = this->_M_impl._M_finish;
+   }
+ else if (size() >= __len)
+   _M_erase_at_end(std::copy(__first, __last, this->_M_impl._M_start));
+ else
+   {
+     _ForwardIterator __mid = __first;
+     std::advance(__mid, size());
+     std::copy(__first, __mid, this->_M_impl._M_start);
+     this->_M_impl._M_finish =
+       std::__uninitialized_copy_a(__mid, __last,
+       this->_M_impl._M_finish,
+       _M_get_Tp_allocator());
+   }
+      }
+  template<typename _Tp, typename _Alloc>
+    void
+    vector<_Tp, _Alloc>::
+    _M_insert_aux(iterator __position, const _Tp& __x)
+    {
+      if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
+ {
+   this->_M_impl.construct(this->_M_impl._M_finish,
+      (*(this->_M_impl._M_finish - 1)));
+   ++this->_M_impl._M_finish;
+   _Tp __x_copy = __x;
+   std::copy_backward(__position.base(), this->_M_impl._M_finish - 2, this->_M_impl._M_finish - 1);
+   *__position = __x_copy;
+ }
+      else
+ {
+   const size_type __len =
+     _M_check_len(size_type(1), "vector::_M_insert_aux");
+   pointer __new_start(this->_M_allocate(__len));
+   pointer __new_finish(__new_start);
+   try
+     {
+       __new_finish =
+  std::__uninitialized_move_a(this->_M_impl._M_start,
+         __position.base(), __new_start,
+         _M_get_Tp_allocator());
+       this->_M_impl.construct(__new_finish, __x);
+       ++__new_finish;
+       __new_finish =
+  std::__uninitialized_move_a(__position.base(),
+         this->_M_impl._M_finish,
+         __new_finish,
+         _M_get_Tp_allocator());
+     }
+   catch(...)
+     {
+       std::_Destroy(__new_start, __new_finish, _M_get_Tp_allocator());
+       _M_deallocate(__new_start, __len);
+       throw;
+     }
+   std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+   _M_get_Tp_allocator());
+   _M_deallocate(this->_M_impl._M_start,
+   this->_M_impl._M_end_of_storage
+   - this->_M_impl._M_start);
+   this->_M_impl._M_start = __new_start;
+   this->_M_impl._M_finish = __new_finish;
+   this->_M_impl._M_end_of_storage = __new_start + __len;
+ }
+    }
+  template<typename _Tp, typename _Alloc>
+    void
+    vector<_Tp, _Alloc>::
+    _M_fill_insert(iterator __position, size_type __n, const value_type& __x)
+    {
+      if (__n != 0)
+ {
+   if (size_type(this->_M_impl._M_end_of_storage
+   - this->_M_impl._M_finish) >= __n)
+     {
+       value_type __x_copy = __x;
+       const size_type __elems_after = end() - __position;
+       pointer __old_finish(this->_M_impl._M_finish);
+       if (__elems_after > __n)
+  {
+    std::__uninitialized_move_a(this->_M_impl._M_finish - __n,
+           this->_M_impl._M_finish,
+           this->_M_impl._M_finish,
+           _M_get_Tp_allocator());
+    this->_M_impl._M_finish += __n;
+    std::copy_backward(__position.base(), __old_finish - __n, __old_finish);
+    std::fill(__position.base(), __position.base() + __n,
+       __x_copy);
+  }
+       else
+  {
+    std::__uninitialized_fill_n_a(this->_M_impl._M_finish,
+      __n - __elems_after,
+      __x_copy,
+      _M_get_Tp_allocator());
+    this->_M_impl._M_finish += __n - __elems_after;
+    std::__uninitialized_move_a(__position.base(), __old_finish,
+           this->_M_impl._M_finish,
+           _M_get_Tp_allocator());
+    this->_M_impl._M_finish += __elems_after;
+    std::fill(__position.base(), __old_finish, __x_copy);
+  }
+     }
+   else
+     {
+       const size_type __len =
+  _M_check_len(__n, "vector::_M_fill_insert");
+       pointer __new_start(this->_M_allocate(__len));
+       pointer __new_finish(__new_start);
+       try
+  {
+    __new_finish =
+      std::__uninitialized_move_a(this->_M_impl._M_start,
+      __position.base(),
+      __new_start,
+      _M_get_Tp_allocator());
+    std::__uninitialized_fill_n_a(__new_finish, __n, __x,
+      _M_get_Tp_allocator());
+    __new_finish += __n;
+    __new_finish =
+      std::__uninitialized_move_a(__position.base(),
+      this->_M_impl._M_finish,
+      __new_finish,
+      _M_get_Tp_allocator());
+  }
+       catch(...)
+  {
+    std::_Destroy(__new_start, __new_finish,
+    _M_get_Tp_allocator());
+    _M_deallocate(__new_start, __len);
+    throw;
+  }
+       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+       _M_get_Tp_allocator());
+       _M_deallocate(this->_M_impl._M_start,
+       this->_M_impl._M_end_of_storage
+       - this->_M_impl._M_start);
+       this->_M_impl._M_start = __new_start;
+       this->_M_impl._M_finish = __new_finish;
+       this->_M_impl._M_end_of_storage = __new_start + __len;
+     }
+ }
+    }
+  template<typename _Tp, typename _Alloc>
+    template<typename _InputIterator>
+      void
+      vector<_Tp, _Alloc>::
+      _M_range_insert(iterator __pos, _InputIterator __first,
+        _InputIterator __last, std::input_iterator_tag)
+      {
+ for (; __first != __last; ++__first)
+   {
+     __pos = insert(__pos, *__first);
+     ++__pos;
+   }
+      }
+  template<typename _Tp, typename _Alloc>
+    template<typename _ForwardIterator>
+      void
+      vector<_Tp, _Alloc>::
+      _M_range_insert(iterator __position, _ForwardIterator __first,
+        _ForwardIterator __last, std::forward_iterator_tag)
+      {
+ if (__first != __last)
+   {
+     const size_type __n = std::distance(__first, __last);
+     if (size_type(this->_M_impl._M_end_of_storage
+     - this->_M_impl._M_finish) >= __n)
+       {
+  const size_type __elems_after = end() - __position;
+  pointer __old_finish(this->_M_impl._M_finish);
+  if (__elems_after > __n)
+    {
+      std::__uninitialized_move_a(this->_M_impl._M_finish - __n,
+      this->_M_impl._M_finish,
+      this->_M_impl._M_finish,
+      _M_get_Tp_allocator());
+      this->_M_impl._M_finish += __n;
+      std::copy_backward(__position.base(), __old_finish - __n, __old_finish);
+      std::copy(__first, __last, __position);
+    }
+  else
+    {
+      _ForwardIterator __mid = __first;
+      std::advance(__mid, __elems_after);
+      std::__uninitialized_copy_a(__mid, __last,
+      this->_M_impl._M_finish,
+      _M_get_Tp_allocator());
+      this->_M_impl._M_finish += __n - __elems_after;
+      std::__uninitialized_move_a(__position.base(),
+      __old_finish,
+      this->_M_impl._M_finish,
+      _M_get_Tp_allocator());
+      this->_M_impl._M_finish += __elems_after;
+      std::copy(__first, __mid, __position);
+    }
+       }
+     else
+       {
+  const size_type __len =
+    _M_check_len(__n, "vector::_M_range_insert");
+  pointer __new_start(this->_M_allocate(__len));
+  pointer __new_finish(__new_start);
+  try
+    {
+      __new_finish =
+        std::__uninitialized_move_a(this->_M_impl._M_start,
+        __position.base(),
+        __new_start,
+        _M_get_Tp_allocator());
+      __new_finish =
+        std::__uninitialized_copy_a(__first, __last,
+        __new_finish,
+        _M_get_Tp_allocator());
+      __new_finish =
+        std::__uninitialized_move_a(__position.base(),
+        this->_M_impl._M_finish,
+        __new_finish,
+        _M_get_Tp_allocator());
+    }
+  catch(...)
+    {
+      std::_Destroy(__new_start, __new_finish,
+      _M_get_Tp_allocator());
+      _M_deallocate(__new_start, __len);
+      throw;
+    }
+  std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
+         _M_get_Tp_allocator());
+  _M_deallocate(this->_M_impl._M_start,
+         this->_M_impl._M_end_of_storage
+         - this->_M_impl._M_start);
+  this->_M_impl._M_start = __new_start;
+  this->_M_impl._M_finish = __new_finish;
+  this->_M_impl._M_end_of_storage = __new_start + __len;
+       }
+   }
+      }
+  template<typename _Alloc>
+    void
+    vector<bool, _Alloc>::
+    reserve(size_type __n)
+    {
+      if (__n > this->max_size())
+ __throw_length_error(("vector::reserve"));
+      if (this->capacity() < __n)
+ {
+   _Bit_type* __q = this->_M_allocate(__n);
+   this->_M_impl._M_finish = _M_copy_aligned(begin(), end(),
+          iterator(__q, 0));
+   this->_M_deallocate();
+   this->_M_impl._M_start = iterator(__q, 0);
+   this->_M_impl._M_end_of_storage = (__q + (__n + int(_S_word_bit) - 1)
+          / int(_S_word_bit));
+ }
+    }
+  template<typename _Alloc>
+    void
+    vector<bool, _Alloc>::
+    _M_fill_insert(iterator __position, size_type __n, bool __x)
+    {
+      if (__n == 0)
+ return;
+      if (capacity() - size() >= __n)
+ {
+   std::copy_backward(__position, end(),
+        this->_M_impl._M_finish + difference_type(__n));
+   std::fill(__position, __position + difference_type(__n), __x);
+   this->_M_impl._M_finish += difference_type(__n);
+ }
+      else
+ {
+   const size_type __len =
+     _M_check_len(__n, "vector<bool>::_M_fill_insert");
+   _Bit_type * __q = this->_M_allocate(__len);
+   iterator __i = _M_copy_aligned(begin(), __position,
+      iterator(__q, 0));
+   std::fill(__i, __i + difference_type(__n), __x);
+   this->_M_impl._M_finish = std::copy(__position, end(),
+           __i + difference_type(__n));
+   this->_M_deallocate();
+   this->_M_impl._M_end_of_storage = (__q + ((__len
+           + int(_S_word_bit) - 1)
+          / int(_S_word_bit)));
+   this->_M_impl._M_start = iterator(__q, 0);
+ }
+    }
+  template<typename _Alloc>
+    template<typename _ForwardIterator>
+      void
+      vector<bool, _Alloc>::
+      _M_insert_range(iterator __position, _ForwardIterator __first,
+        _ForwardIterator __last, std::forward_iterator_tag)
+      {
+ if (__first != __last)
+   {
+     size_type __n = std::distance(__first, __last);
+     if (capacity() - size() >= __n)
+       {
+  std::copy_backward(__position, end(),
+       this->_M_impl._M_finish
+       + difference_type(__n));
+  std::copy(__first, __last, __position);
+  this->_M_impl._M_finish += difference_type(__n);
+       }
+     else
+       {
+  const size_type __len =
+    _M_check_len(__n, "vector<bool>::_M_insert_range");
+  _Bit_type * __q = this->_M_allocate(__len);
+  iterator __i = _M_copy_aligned(begin(), __position,
+            iterator(__q, 0));
+  __i = std::copy(__first, __last, __i);
+  this->_M_impl._M_finish = std::copy(__position, end(), __i);
+  this->_M_deallocate();
+  this->_M_impl._M_end_of_storage = (__q
+         + ((__len
+             + int(_S_word_bit) - 1)
+            / int(_S_word_bit)));
+  this->_M_impl._M_start = iterator(__q, 0);
+       }
+   }
+      }
+  template<typename _Alloc>
+    void
+    vector<bool, _Alloc>::
+    _M_insert_aux(iterator __position, bool __x)
+    {
+      if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_of_storage)
+ {
+   std::copy_backward(__position, this->_M_impl._M_finish,
+        this->_M_impl._M_finish + 1);
+   *__position = __x;
+   ++this->_M_impl._M_finish;
+ }
+      else
+ {
+   const size_type __len =
+     _M_check_len(size_type(1), "vector<bool>::_M_insert_aux");
+   _Bit_type * __q = this->_M_allocate(__len);
+   iterator __i = _M_copy_aligned(begin(), __position,
+      iterator(__q, 0));
+   *__i++ = __x;
+   this->_M_impl._M_finish = std::copy(__position, end(), __i);
+   this->_M_deallocate();
+   this->_M_impl._M_end_of_storage = (__q + ((__len
+           + int(_S_word_bit) - 1)
+          / int(_S_word_bit)));
+   this->_M_impl._M_start = iterator(__q, 0);
+ }
+    }
+}
+int main () {
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::ostringstream factorials;
+    typedef void (*boost_se_tag_0_factorial29)(int &factorials ); typedef __typeof__(boost::type_of::ensure_obj(boost::scope_exit::aux::wrap( boost::scope_exit::aux::deref(&factorials, (boost_se_tag_0_factorial29)0)))) boost_se_wrapped_t_0_factorial29; typedef boost_se_wrapped_t_0_factorial29::type boost_se_capture_t_0_factorial29; struct boost_se_params_t_factorial29 { typedef boost_se_capture_t_0_factorial29 boost_se_param_t_0_factorial29; boost::scope_exit::aux::member< boost_se_param_t_0_factorial29, boost_se_tag_0_factorial29 > boost_se_param_0_factorial29; } boost_local_auxXparams_factorial29 = { { boost::scope_exit::aux::deref(&factorials, (boost_se_tag_0_factorial29)0) } }; boost::scope_exit::aux::declared< boost::scope_exit::aux::resolve< sizeof(boost_local_auxXargs) >::cmp1<0>::cmp2 > boost_local_auxXargs; boost_local_auxXargs.value = &boost_local_auxXparams_factorial29; typedef ::boost::local::function_ref< int ( int , bool ) , 1 > boost_local_auxXfactorialXref; struct boost_local_auxXfunctorXfac
torial : ::boost::local::aux::function_base< int ( int , bool ), 1> { explicit boost_local_auxXfunctorXfactorial(void* bind_params) : boost_local_auxXparams( (boost_se_params_t_factorial29*) bind_params) {} int operator()( int n , bool recursion ) { return boost_local_auxXbody( *this , boost_local_auxXparams-> boost_se_param_0_factorial29.value , n , recursion ); } int operator()( int n ) { return boost_local_auxXbody( *this , boost_local_auxXparams-> boost_se_param_0_factorial29.value , n ); } private: boost_se_params_t_factorial29* boost_local_auxXparams; static int boost_local_auxXbody( boost_local_auxXfunctorXfactorial& factorial , boost_se_params_t_factorial29:: boost_se_param_t_0_factorial29 &factorials , int n , bool recursion = false ) {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+        if (!recursion) factorials << result << " ";
+        return result;
+    } }; boost_local_auxXfunctorXfactorial boost_local_auxXobjectXfactorial( boost_local_auxXargs.value); boost_local_auxXfactorialXref factorial( boost_local_auxXobjectXfactorial);
+    std::for_each(v.begin(), v.end(), factorial);
+    std::cout << factorials.str() << std::endl;
+    return 0;
+}

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.01.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.01.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,122 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream factorials;
+
+    // On all C++ preprocessors (including C99 preprocessors) the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          (int x) (bool recursion)(default false) (bind& factorials) )
+    //
+    // Or, on C99 preprocessors only the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          int x, bool recursion, default false, bind& factorials)
+    //
+    // Expand to code equivalent to the following:
+
+    // From the macros that parse the parameters:
+    #define ARG0 int x
+    #define DFLT0 // empty
+    #define ARG1 bool recursion
+    #define DFLT1 false
+    #define BIND0 &factorials
+
+    typedef void (*boost_se_tag_0_at_line_29)(int &factorials );
+    typedef BOOST_TYPEOF(boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(boost::scope_exit::aux::deref(
+                    &factorials, (boost_se_tag_0_at_line_29)0))))
+            boost_se_wrapped_t_0_at_line_29;
+    typedef boost_se_wrapped_t_0_at_line_29::type
+            boost_se_capture_t_0_at_line_29;
+    
+    struct boost_se_params_t_at_line_29 {
+        typedef boost_se_capture_t_0_at_line_29 boost_se_param_t_0_at_line_29;
+        boost::scope_exit::aux::member<boost_se_param_t_0_at_line_29,
+                boost_se_tag_0_at_line_29> boost_se_param_0_at_line_29;
+    } boost_local_auxXparams_at_line_29 = {
+        { boost::scope_exit::aux::deref(&factorials,
+                (boost_se_tag_0_at_line_29)0) }
+    }; 
+    boost::scope_exit::aux::declared<boost::scope_exit::aux::resolve<
+            sizeof(boost_local_auxXargs)>::cmp1<0>::cmp2> boost_local_auxXargs;
+    boost_local_auxXargs.value = &boost_local_auxXparams_at_line_29;
+    
+    typedef ::boost::local::function_ref<int (int , bool) , 1>
+            boost_local_auxXfactorialXref;
+    struct boost_local_auxXfunctorXfactorial :
+            ::boost::local::aux::function_base<int (int ,bool), 1> {
+        explicit boost_local_auxXfunctorXfactorial(void* bind_params) : 
+                boost_local_auxXparams(
+                        (boost_se_params_t_at_line_29*) bind_params)
+                {} 
+        int operator()(int n , bool recursion) { 
+            return boost_local_auxXbody( *this
+                , boost_local_auxXparams->boost_se_param_0_at_line_29.value 
+                , n , recursion 
+            ); 
+        } 
+        int operator()(int n) { 
+            return boost_local_auxXbody( *this 
+                , boost_local_auxXparams->boost_se_param_0_at_line_29.value 
+                , n 
+            ); 
+        } 
+    private: 
+        boost_se_params_t_at_line_29* boost_local_auxXparams; 
+        static int boost_local_auxXbody(
+              boost_local_auxXfunctorXfactorial& factorial 
+            , boost_se_params_t_at_line_29::boost_se_param_t_0_at_line_29 
+                    &factorials
+            , int n
+            , bool recursion = false)
+    
+    // Local function body (programmed outside the macros).
+    
+    {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+        if (!recursion) factorials << result << " ";
+        return result;
+    }
+
+    // The macro:
+    //
+    //  BOOST_LOCAL_FUNCTION_NAME(factorial)
+    //
+    // Expand to code equivalent to the following:
+
+    #define NAME factorial
+    
+    };
+    boost_local_auxXfunctorXfactorial boost_local_auxXobjectXfactorial(
+            boost_local_auxXargs.value);
+    boost_local_auxXfactorialXref factorial(boost_local_auxXobjectXfactorial);
+
+    // Rest of the program.
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << factorials.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.02.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.02.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,171 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int // Result type (outside the `PARAMS` macro).
+
+    // On all C++ preprocessors (including C99 preprocessors) the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          (int n) (bool recursion)(default false) (bind& output) )
+    //
+    // Or, on C99 preprocessors only the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          int n, bool recursion, default false, bind& output)
+    //
+    // Expand to code equivalent to the following. Note:
+    //
+    // * Use line number __LINE__ (e.g., 29) to generate unique symbols.
+    // * Parameter name not available separately from its type.
+    // * Function name NOT available.
+    
+// In actual expansion, the following tokens are made available as macro
+// parameters (and not as macro symbols) by the `PARAMS` macro:
+#define PARAMS_arg_0            int n
+#define PARAMS_arg_with_dflt_0  PARAMS_arg_0 // No default.
+#define PARAMS_arg_1            bool recursion
+#define PARAMS_arg_with_dflt_1  PARAMS_arg_1 = false
+#define PARAMS_bind_0           &output
+#define PARAMS_is_const_bind_0  0 // Not a constant bind.
+
+    // Following result type specified just before the `PARAMS` macro.
+    ERROR_missing_result_type_at_line_29(PARAMS_arg_0, PARAMS_arg_1);
+    /** @todo This typeof requires registration of result, arg, etc type? */
+    typedef BOOST_TYPEOF(ERROR_missing_result_type_at_line_29) function_type_29;
+    typedef boost::function_traits<function_type_29>::result_type
+            result_type_29;
+    typedef boost::function_traits<function_type_29>::arg1_type arg_type_0_29;
+    typedef boost::function_traits<function_type_29>::arg2_type arg_type_1_29;
+
+    typedef void (*boost_se_tag_0_at_line_29)(int PARAMS_bind_0);
+    typedef BOOST_TYPEOF(boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(boost::scope_exit::aux::deref(
+                    PARAMS_bind_0, (boost_se_tag_0_at_line_29)0))))
+            boost_se_wrapped_t_0_at_line_29;
+    typedef boost_se_wrapped_t_0_at_line_29::type
+            boost_se_capture_t_0_at_line_29;
+    
+    struct boost_se_params_t_at_line_29 {
+        typedef boost_se_capture_t_0_at_line_29 boost_se_param_t_0_at_line_29;
+        boost::scope_exit::aux::member<boost_se_param_t_0_at_line_29,
+                boost_se_tag_0_at_line_29> boost_se_param_0_at_line_29;
+    } boost_local_auxXparams_at_line_29 = {
+        { boost::scope_exit::aux::deref(PARAMS_bind_0,
+                (boost_se_tag_0_at_line_29)0) }
+    }; 
+    boost::scope_exit::aux::declared<boost::scope_exit::aux::resolve<
+            sizeof(boost_local_auxXargs)>::cmp1<0>::cmp2> boost_local_auxXargs;
+    boost_local_auxXargs.value = &boost_local_auxXparams_at_line_29;
+    
+    struct boost_local_auxXfunctor_29 :
+            ::boost::local::aux::function_base<function_type_29, 1> {
+        explicit boost_local_auxXfunctor_29(): binds() {}
+        result_type_29 operator()(arg_type_0_29 arg_0, arg_type_1_29 arg_1) { 
+            assert(binds);
+            return boost_local_auxXbody(
+                binds->boost_se_param_0_at_line_29.value 
+                // Using general names `arg_i` because parameter types and
+                // names are not separated by the preprocessor so the actual
+                // argument name (e.g., `n`) is not available here.
+                , arg_0, arg_1 
+            ); 
+        }
+        // Overloading to support default parameters.
+        result_type_29 operator()(arg_type_0_29 arg_0) { 
+            assert(binds);
+            return boost_local_auxXbody(
+                  binds->boost_se_param_0_at_line_29.value 
+                , arg_0 
+            ); 
+        } 
+    private: 
+        boost_se_params_t_at_line_29* binds; 
+        // Body cannot be static because it has to access the member named
+        // after the function name for recursive calls (the function name is
+        // not know to this macro). However, ideally the body will be static
+        // so to prevent using `this` instead of `this_` by mistake.
+        result_type_29 boost_local_auxXbody(
+#if PARAMS_is_const_bind_0
+              ::boost::add_const<
+#endif
+                    boost_se_params_t_at_line_29::boost_se_param_t_0_at_line_29 
+#if PARAMS_is_const_bind_0
+              >::type
+#endif
+                    PARAMS_bind_0
+            , PARAMS_arg_with_dflt_0
+            , PARAMS_arg_with_dflt_1)
+    
+    // Local function body (programmed outside the macros).
+    
+    {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+
+        if (!recursion) output << result << " ";
+        return result;
+    }
+
+// All `..._29` and `PARAMS_...` symbols are only available for within `PARAMS`
+// macro expansion for the code above.
+#undef PARAMS_arg0
+#undef PARAMS_dflt0
+#undef PARAMS_arg1
+#undef PARAMS_dflt1
+#undef PARAMS_bind0
+
+    // The macro:
+    //
+    //  BOOST_LOCAL_FUNCTION_NAME(factorial)
+    //
+    // Expand to code equivalent to the following. Note:
+    //
+    // * Use function name `factorial` to generate unique symbols.
+    // * Function name `factorial` available.
+    // * None of the `..._29` symbols are available (different __LINE__).
+
+    // Public so it can be used to deduce local::function<> type to define
+    // functor that can be passed as template parameter.
+    public:
+        // Member with function name for recursive calls. This cannot be
+        // defined sooner because the function name is only available here.
+        ::boost::local::function_ref<function_type_29, 1> factorial;
+        // Cannot be programmed in the constructor because it also sets the
+        // `factorial` member with name only known in this macro expansion.
+        void init(void* bind_params) {
+            binds = static_cast<boost_se_params_t_at_line_29*>(bind_params);
+            factorial = *this;
+        }
+    } object_factorial;
+    object_factorial.init(boost_local_auxXargs.value);
+    BOOST_TYPEOF(object_factorial.factorial) factorial(object_factorial);
+    
+    // Rest of the program.
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.03.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.03.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,192 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int // Result type (outside the `PARAMS` macro).
+
+    // On all C++ preprocessors (including C99 preprocessors) the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          (int n) (bool recursion)(default false) (bind& output) )
+    //
+    // Or, on C99 preprocessors only the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          int n, bool recursion, default false, bind& output)
+    //
+    // Expands to code equivalent to the following.
+    //
+    // NOTE:
+    // * Use line number __LINE__ (e.g., 29) to generate unique symbols.
+    // * Parameter name not available separately from its type.
+    // * Function name NOT available.
+    
+// In actual expansion, the following tokens are made available as macro
+// parameters (and not as macro symbols) by the `PARAMS` macro:
+#define PARAMS_arg_0            int n
+#define PARAMS_arg_with_dflt_0  PARAMS_arg_0 // No default.
+#define PARAMS_arg_1            bool recursion
+#define PARAMS_arg_with_dflt_1  PARAMS_arg_1 = false
+#define PARAMS_bind_0           &output
+#define PARAMS_is_const_bind_0  0 // Not a constant bind.
+
+    // Function traits.
+    // NOTE: Following result type specified just before the `PARAMS` macro.
+    // Default parameter values need to be separated from their parameter types
+    // and names because they are not part of the function type so they cannot
+    // be used by the following expressions and their number cannot be count
+    // at compile-time using template metaprogramming.
+    ERROR_missing_result_type_at_line_29(PARAMS_arg_0, PARAMS_arg_1);
+    /** @todo This typeof requires registration of result, arg, etc type? */
+    typedef BOOST_TYPEOF(ERROR_missing_result_type_at_line_29) function_type_29;
+    typedef boost::function_traits<function_type_29>::result_type
+            result_type_29;
+    typedef boost::function_traits<function_type_29>::arg1_type arg_type_0_29;
+    typedef boost::function_traits<function_type_29>::arg2_type arg_type_1_29;
+
+    // Handle bound parameters as done by Boost.ScopeEixt, deducing their types
+    // (using Boost.Typeof) and storing them by reference or by value.
+    typedef void (*bind_deduce_type_0_29)(int PARAMS_bind_0);
+    typedef BOOST_TYPEOF(boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(boost::scope_exit::aux::deref(
+                    PARAMS_bind_0, static_cast<bind_deduce_type_0_29>(0)))))
+            bind_wrapped_type_0_29;
+    typedef bind_wrapped_type_0_29::type capture_bind_type_0_29;
+    // Hold bound parameter types and values.
+    struct binds_29 {
+        typedef capture_bind_type_0_29 bind_type_0_29;
+        boost::scope_exit::aux::member<bind_type_0_29, bind_deduce_type_0_29>
+                bind_value_0_29;
+    } params_29 = {
+        { boost::scope_exit::aux::deref(PARAMS_bind_0,
+                static_cast<bind_deduce_type_0_29>(0)) }
+    };
+    // NOTE: The `args` variable is declared globally and not prefixed with
+    // __LINE__ so it can be used by both the `PARAMS` and `NAME`. The special
+    // template declaration type prevents this variable to be declared multiple
+    // times within the same scope.
+    boost::scope_exit::aux::declared<boost::scope_exit::aux::resolve<
+            sizeof(boost_local_auxXargs)>::cmp1<0>::cmp2> boost_local_auxXargs;
+    boost_local_auxXargs.value = &params_29;
+    
+    // Functor for local function.
+    class functor_29:
+            // Base used to assign local functions to `function_ref` which can
+            // then be passed as template parameter.
+            public ::boost::local::aux::function_base<function_type_29, 1> {
+        binds_29* binds; // Bound parameter values.
+    public:
+        explicit functor_29(): binds() {}
+        result_type_29 operator()(arg_type_0_29 arg_0, arg_type_1_29 arg_1) { 
+            assert(binds);
+            return body(
+                binds->bind_value_0_29.value 
+                // Using general names `arg_i` because parameter types and
+                // names are not separated by the preprocessor so the actual
+                // argument name (e.g., `n`) is not available here.
+                , arg_0, arg_1 
+            ); 
+        }
+        // Overloading to support default parameters.
+        result_type_29 operator()(arg_type_0_29 arg_0) { 
+            assert(binds);
+            return body(
+                  binds->bind_value_0_29.value 
+                , arg_0 
+            ); 
+        } 
+    private: 
+        // LIMITATION: Body cannot be static because it has to access the
+        // member named after the function name for recursive calls (the
+        // function name is not know to this macro). However, ideally the body
+        // will be static so to prevent using `this` instead of `this_` by
+        // mistake (in most cases this will still cause a compile-time error
+        // because when functor has a different structure than the bound object
+        // `this_` -- but that is not the case if `this` is mistakenly used
+        // instead of `this` to do pointer operations). Programmers need to
+        // inspect the local function body code by eye and make sure that
+        // `this` is not used by the body code.
+        result_type_29 body(
+#if PARAMS_is_const_bind_0
+              ::boost::add_const< // Handle constant binding.
+#endif
+                    binds_29::bind_type_0_29 
+#if PARAMS_is_const_bind_0
+              >::type
+#endif
+                    PARAMS_bind_0
+            , PARAMS_arg_with_dflt_0
+            , PARAMS_arg_with_dflt_1)
+    
+    // Local function body (programmed outside the macros).
+    
+    {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+
+        if (!recursion) output << result << " ";
+        return result;
+    }
+
+// All `..._29` and `PARAMS_...` symbols are only available for within `PARAMS`
+// macro expansion for the code above.
+#undef PARAMS_arg0
+#undef PARAMS_dflt0
+#undef PARAMS_arg1
+#undef PARAMS_dflt1
+#undef PARAMS_bind0
+
+    // The macro:
+    //
+    //  BOOST_LOCAL_FUNCTION_NAME(factorial)
+    //
+    // Expands to code equivalent to the following. Note:
+    //
+    // * Use function name `factorial` to generate unique symbols.
+    // * Function name `factorial` available.
+    // * None of the `..._29` symbols are available (different __LINE__).
+
+    // Public so it can be used to deduce local::function<> type to define
+    // functor that can be passed as template parameter.
+    public:
+        // Member with function name for recursive calls. This cannot be
+        // defined sooner because the function name is only available here.
+        ::boost::local::function_ref<function_type_29, 1> factorial;
+        // Cannot be programmed in the constructor because it also sets the
+        // `factorial` member with name only known in this macro expansion.
+        void init(void* bind_params) {
+            binds = static_cast<binds_29*>(bind_params);
+            factorial = *this; // For recursion.
+        }
+    } object_factorial;
+    object_factorial.init(boost_local_auxXargs.value);
+    BOOST_TYPEOF(object_factorial.factorial) factorial(object_factorial);
+    
+    // Rest of the program.
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.04.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.04.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,193 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int // Result type (outside the `PARAMS` macro).
+
+    // On all C++ preprocessors (including C99 preprocessors) the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          (int n) (bool recursion)(default false) (bind& output) )
+    //
+    // Or, on C99 preprocessors only the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          int n, bool recursion, default false, bind& output)
+    //
+    // Expands to code equivalent to the following.
+    //
+    // NOTE:
+    // * Use line number __LINE__ (e.g., 29) to generate unique symbols.
+    // * Parameter name not available separately from its type.
+    // * Function name NOT available.
+    
+// In actual expansion, the following tokens are made available as macro
+// parameters (and not as macro symbols) by the `PARAMS` macro:
+#define PARAMS_arg_0            int n
+#define PARAMS_arg_with_dflt_0  PARAMS_arg_0 // No default.
+#define PARAMS_arg_1            bool recursion
+#define PARAMS_arg_with_dflt_1  PARAMS_arg_1 = false
+#define PARAMS_bind_0           &output
+#define PARAMS_is_const_bind_0  0 // Not a constant bind.
+
+    // Function traits.
+    // NOTE: Following result type specified just before the `PARAMS` macro.
+    // Default parameter values need to be separated from their parameter types
+    // and names because they are not part of the function type so they cannot
+    // be used by the following expressions and their number cannot be count
+    // at compile-time using template metaprogramming.
+    ERROR_missing_result_type_at_line_29(PARAMS_arg_0, PARAMS_arg_1);
+    /** @todo This typeof requires registration of result, arg, etc type? */
+    typedef BOOST_TYPEOF(ERROR_missing_result_type_at_line_29) function_type_29;
+    typedef boost::function_traits<function_type_29>::result_type
+            result_type_29;
+    typedef boost::function_traits<function_type_29>::arg1_type arg_type_0_29;
+    typedef boost::function_traits<function_type_29>::arg2_type arg_type_1_29;
+
+    // Handle bound parameters as done by Boost.ScopeEixt, deducing their types
+    // (using Boost.Typeof) and storing them by reference or by value.
+    typedef void (*bind_deduce_type_0_29)(int PARAMS_bind_0);
+    typedef BOOST_TYPEOF(boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(boost::scope_exit::aux::deref(
+                    PARAMS_bind_0, static_cast<bind_deduce_type_0_29>(0)))))
+            bind_wrapped_type_0_29;
+    typedef bind_wrapped_type_0_29::type capture_bind_type_0_29;
+    // Hold bound parameter types and values.
+    struct binds_29 {
+        typedef capture_bind_type_0_29 bind_type_0_29;
+        boost::scope_exit::aux::member<bind_type_0_29, bind_deduce_type_0_29>
+                bind_value_0_29;
+    } params_29 = {
+        { boost::scope_exit::aux::deref(PARAMS_bind_0,
+                static_cast<bind_deduce_type_0_29>(0)) }
+    };
+    // NOTE: The `args` variable is declared globally and not prefixed with
+    // __LINE__ so it can be used by both the `PARAMS` and `NAME`. The special
+    // template declaration type prevents this variable to be declared multiple
+    // times within the same scope.
+    boost::scope_exit::aux::declared<boost::scope_exit::aux::resolve<
+            sizeof(boost_local_auxXargs)>::cmp1<0>::cmp2> boost_local_auxXargs;
+    boost_local_auxXargs.value = &params_29;
+    
+    // Functor for local function.
+    class functor_29:
+            // Base used to assign local functions to `function_ref` which can
+            // then be passed as template parameter.
+            public ::boost::local::aux::function_base<function_type_29, 1> {
+        typedef ::boost::local::function_ref<function_type_29, 1> function_type;
+        binds_29* binds_; // Bound parameter values.
+    public:
+        // Public so it can be used later to deduce function type where
+        // __LINE__ postfixed symbols `..._29` are no longer available.
+        function_type* deduce_function_type;
+        explicit functor_29(void* binds):
+                binds_(static_cast<binds_29*>(binds)) {
+            init_recursion();
+        }
+        result_type_29 operator()(arg_type_0_29 arg_0, arg_type_1_29 arg_1) { 
+            assert(binds_);
+            return body(
+                binds_->bind_value_0_29.value 
+                // Using general names `arg_i` because parameter types and
+                // names are not separated by the preprocessor so the actual
+                // argument name (e.g., `n`) is not available here.
+                , arg_0, arg_1 
+            ); 
+        }
+        // Overloading to support default parameters.
+        result_type_29 operator()(arg_type_0_29 arg_0) { 
+            assert(binds_);
+            return body(
+                  binds_->bind_value_0_29.value 
+                , arg_0 
+            ); 
+        } 
+    private: 
+        // LIMITATION: Body cannot be static because it has to access the
+        // member named after the function name for recursive calls (the
+        // function name is not know to this macro). However, ideally the body
+        // will be static so to prevent using `this` instead of `this_` by
+        // mistake (in most cases this will still cause a compile-time error
+        // because when functor has a different structure than the bound object
+        // `this_` -- but that is not the case if `this` is mistakenly used
+        // instead of `this` to do pointer operations). Programmers need to
+        // inspect the local function body code by eye and make sure that
+        // `this` is not used by the body code.
+        result_type_29 body(
+#if PARAMS_is_const_bind_0
+              ::boost::add_const< // Handle constant binding.
+#endif
+                    binds_29::bind_type_0_29 
+#if PARAMS_is_const_bind_0
+              >::type
+#endif
+                    PARAMS_bind_0
+            , PARAMS_arg_with_dflt_0
+            , PARAMS_arg_with_dflt_1)
+    
+    // Local function body (programmed outside the macros).
+    
+    {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+
+        if (!recursion) output << result << " ";
+        return result;
+    }
+
+// All `..._29` and `PARAMS_...` symbols are only available for within `PARAMS`
+// macro expansion for the code above.
+#undef PARAMS_arg0
+#undef PARAMS_dflt0
+#undef PARAMS_arg1
+#undef PARAMS_dflt1
+#undef PARAMS_bind0
+
+    // The macro:
+    //
+    //  BOOST_LOCAL_FUNCTION_NAME(factorial)
+    //
+    // Expands to code equivalent to the following. Note:
+    //
+    // * Use function name `factorial` to generate unique symbols.
+    // * Function name `factorial` available.
+    // * None of the `..._29` symbols are available (different __LINE__).
+
+        // Member with function name for recursive calls. This cannot be
+        // defined sooner because the function name is only available here.
+        function_type factorial;
+        // Cannot be programmed in the constructor because it sets the
+        // `factorial` member with name only known in this macro expansion.
+        void init_recursion() { factorial = *this; }
+    } object_factorial(boost_local_auxXargs.value);
+    BOOST_TYPEOF(*object_factorial.deduce_function_type) factorial(
+            object_factorial);
+    
+    // Rest of the program.
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.05.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.05.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,195 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int // Result type (outside the `PARAMS` macro).
+
+    // On all C++ preprocessors (including C99 preprocessors) the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          (int n) (bool recursion)(default false) (bind& output) )
+    //
+    // Or, on C99 preprocessors only the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          int n, bool recursion, default false, bind& output)
+    //
+    // Expands to code equivalent to the following.
+    //
+    // NOTE:
+    // * Use line number __LINE__ (e.g., 29) to generate unique symbols.
+    // * Parameter name not available separately from its type.
+    // * Function name NOT available.
+    
+// In actual expansion, the following tokens are made available as macro
+// parameters (and not as macro symbols) by the `PARAMS` macro:
+#define PARAMS_arg_0            register int n
+#define PARAMS_arg_with_dflt_0  PARAMS_arg_0 // No default.
+#define PARAMS_arg_1            bool recursion
+#define PARAMS_arg_with_dflt_1  PARAMS_arg_1 = false
+#define PARAMS_bind_0           &output
+#define PARAMS_is_const_bind_0  0 // Not a constant bind.
+
+    // Function traits.
+    // NOTE: Following result type specified just before the `PARAMS` macro.
+    // Default parameter values need to be separated from their parameter types
+    // and names because they are not part of the function type so they cannot
+    // be used by the following expressions and their number cannot be count
+    // at compile-time using template metaprogramming.
+    ERROR_missing_result_type_at_line_29(PARAMS_arg_0, PARAMS_arg_1);
+    /** @todo This typeof requires registration of result, arg, etc type? */
+    typedef BOOST_TYPEOF(ERROR_missing_result_type_at_line_29) function_type_29;
+    typedef boost::function_traits<function_type_29>::result_type
+            result_type_29;
+    typedef boost::function_traits<function_type_29>::arg1_type arg_type_0_29;
+    typedef boost::function_traits<function_type_29>::arg2_type arg_type_1_29;
+
+    // Handle bound parameters as done by Boost.ScopeEixt, deducing their types
+    // (using Boost.Typeof) and storing them by reference or by value.
+    typedef void (*bind_deduce_type_0_29)(int PARAMS_bind_0);
+    typedef BOOST_TYPEOF(boost::type_of::ensure_obj(
+            boost::scope_exit::aux::wrap(boost::scope_exit::aux::deref(
+                    PARAMS_bind_0, static_cast<bind_deduce_type_0_29>(0)))))
+            bind_wrapped_type_0_29;
+    typedef bind_wrapped_type_0_29::type capture_bind_type_0_29;
+    // Hold bound parameter types and values.
+    struct binds_29 {
+        typedef capture_bind_type_0_29 bind_type_0_29;
+        boost::scope_exit::aux::member<bind_type_0_29, bind_deduce_type_0_29>
+                bind_value_0_29;
+    } params_29 = {
+        { boost::scope_exit::aux::deref(PARAMS_bind_0,
+                static_cast<bind_deduce_type_0_29>(0)) }
+    };
+    // NOTE: The `args` variable is declared globally and not prefixed with
+    // __LINE__ so it can be used by both the `PARAMS` and `NAME`. The special
+    // template declaration type prevents this variable to be declared multiple
+    // times within the same scope.
+    boost::scope_exit::aux::declared<boost::scope_exit::aux::resolve<
+            sizeof(boost_local_auxXargs)>::cmp1<0>::cmp2> boost_local_auxXargs;
+    boost_local_auxXargs.value = &params_29;
+    
+    // Functor for local function.
+    class functor_29:
+            // Base used to assign local functions to `function_ref` which can
+            // then be passed as template parameter.
+            public ::boost::local::aux::function_base<function_type_29, 1> {
+        typedef ::boost::local::function_ref<function_type_29, 1> function_type;
+        binds_29* binds_; // Bound parameter values.
+    public:
+        // Public so it can be used later to deduce function type where
+        // __LINE__ postfixed symbols `..._29` are no longer available.
+        function_type* deduce_function_type;
+        explicit functor_29(void* binds):
+                binds_(static_cast<binds_29*>(binds)) {
+            init_recursion();
+        }
+        result_type_29 operator()(arg_type_0_29 arg_0, arg_type_1_29 arg_1) { 
+            assert(binds_);
+            return body(
+                binds_->bind_value_0_29.value 
+                // Using general names `arg_i` because parameter types and
+                // names are not separated by the preprocessor so the actual
+                // argument name (e.g., `n`) is not available here.
+                , arg_0, arg_1 
+            ); 
+        }
+        // Overloading to support default parameters.
+        result_type_29 operator()(arg_type_0_29 arg_0) { 
+            assert(binds_);
+            return body(
+                  binds_->bind_value_0_29.value 
+                , arg_0 
+            ); 
+        } 
+    private: 
+        // LIMITATION: Body cannot be static because it has to access the
+        // member named after the function name for recursive calls (the
+        // function name is not know to this macro). However, ideally the body
+        // will be static so to prevent using `this` instead of `this_` by
+        // mistake (in most cases this will still cause a compile-time error
+        // because when functor has a different structure than the bound object
+        // `this_` -- but that is not the case if `this` is mistakenly used
+        // instead of `this` to do pointer operations). Programmers need to
+        // inspect the local function body code by eye and make sure that
+        // `this` is not used by the body code.
+        result_type_29 body(
+#if PARAMS_is_const_bind_0
+              ::boost::add_const< // Handle constant binding.
+#endif
+                    binds_29::bind_type_0_29 
+#if PARAMS_is_const_bind_0
+              >::type
+#endif
+                    PARAMS_bind_0
+            , PARAMS_arg_with_dflt_0
+            , PARAMS_arg_with_dflt_1)
+    
+    // Local function body (programmed outside the macros).
+    
+    {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+
+        if (!recursion) output << result << " ";
+        return result;
+    }
+
+// All `..._29` and `PARAMS_...` symbols are only available for within `PARAMS`
+// macro expansion for the code above.
+#undef PARAMS_arg0
+#undef PARAMS_dflt0
+#undef PARAMS_arg1
+#undef PARAMS_dflt1
+#undef PARAMS_bind0
+
+    // The macro:
+    //
+    //  BOOST_LOCAL_FUNCTION_NAME(factorial)
+    //
+    // Expands to code equivalent to the following. Note:
+    //
+    // * Use function name `factorial` to generate unique symbols.
+    // * Function name `factorial` available.
+    // * None of the `..._29` symbols are available (different __LINE__).
+
+        // Member with function name for recursive calls. This cannot be
+        // defined sooner because the function name is only available here.
+        function_type factorial;
+        // Cannot be programmed in the constructor because it sets the
+        // `factorial` member with name only known in this macro expansion.
+        void init_recursion() { factorial = *this; }
+    } object_factorial(boost_local_auxXargs.value);
+    // The struct type cannot be passed as template parameter but the function
+    // type `function_ref<...>` deduced here can.
+    BOOST_TYPEOF(*object_factorial.deduce_function_type) factorial(
+            object_factorial);
+    
+    // Rest of the program.
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/factorial_nomacros.06.cpp
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/factorial_nomacros.06.cpp	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,197 @@
+
+// Copyright (C) 2009-2011 Lorenzo Caminiti
+// Use, modification, and distribution is subject to the
+// Boost Software License, Version 1.0
+// (see accompanying file LICENSE_1_0.txt or a copy at
+// http://www.boost.org/LICENSE_1_0.txt).
+
+// Use recursion, default parameters, and bind by non-const reference.
+
+//[ factorial_cpp
+#include <boost/local/function.hpp>
+#include <iostream>
+#include <sstream>
+#include <algorithm>
+#include <vector>
+
+int main () {
+    std::ostringstream output;
+
+    int // Result type (outside the `PARAMS` macro).
+
+    // On all C++ preprocessors (including C99 preprocessors) the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          (int n) (bool recursion)(default false) (bind& output) )
+    //
+    // Or, on C99 preprocessors only the macro:
+    //
+    //  int BOOST_LOCAL_FUNCTION_PARAMS(
+    //          int n, bool recursion, default false, bind& output)
+    //
+    // Expands to code equivalent to the following.
+    //
+    // NOTE:
+    // * Use line number __LINE__ (e.g., 29) to generate unique symbols.
+    // * Parameter name not available separately from its type.
+    // * Function name NOT available.
+    
+// In actual expansion, the following tokens are made available as macro
+// parameters (and not as macro symbols) by the `PARAMS` macro:
+#define PARAMS_arg_0            register int n
+#define PARAMS_arg_with_dflt_0  PARAMS_arg_0 // No default.
+#define PARAMS_arg_1            bool recursion
+#define PARAMS_arg_with_dflt_1  PARAMS_arg_1 = false
+#define PARAMS_bind_0           &output
+#define PARAMS_is_const_bind_0  0 // Not a constant bind.
+
+    // Function traits.
+    // NOTE: Following result type specified just before the `PARAMS` macro.
+    // Default parameter values need to be separated from their parameter types
+    // and names because they are not part of the function type so they cannot
+    // be used by the following expressions and their number cannot be count
+    // at compile-time using template metaprogramming.
+    ERROR_missing_result_type_at_line_29(PARAMS_arg_0, PARAMS_arg_1);
+    /** @todo This typeof requires registration of result, arg, etc type? */
+    typedef BOOST_TYPEOF(ERROR_missing_result_type_at_line_29) function_type_29;
+    typedef boost::function_traits<function_type_29>::result_type
+            result_type_29;
+    typedef boost::function_traits<function_type_29>::arg1_type arg_type_0_29;
+    typedef boost::function_traits<function_type_29>::arg2_type arg_type_1_29;
+
+    // Handle bound parameters as done by Boost.ScopeEixt, deducing their types
+    // (using Boost.Typeof) and storing them by reference or by value.
+    typedef void (*bind_deduce_type_0_29)(int PARAMS_bind_0);
+    typedef BOOST_TYPEOF(
+            boost::scope_exit::aux::wrap(boost::scope_exit::aux::deref(
+                    PARAMS_bind_0, static_cast<bind_deduce_type_0_29>(0))))
+            bind_wrapped_type_0_29;
+    typedef bind_wrapped_type_0_29::type capture_bind_type_0_29;
+    // Hold bound parameter types and values.
+    struct binds_29 {
+        typedef capture_bind_type_0_29 bind_type_0_29;
+        boost::scope_exit::aux::member<bind_type_0_29, bind_deduce_type_0_29>
+                bind_value_0_29;
+    } params_29 = { // Must use this initializer because reference members.
+        { // NOTE: Curly brakets are required by GCC but not supported by MSVC.
+            boost::scope_exit::aux::deref(PARAMS_bind_0,
+                    static_cast<bind_deduce_type_0_29>(0))
+        } // NOTE: Curly brakets are required by GCC but not supported by MSVC.
+    };
+    // NOTE: The `args` variable is declared globally and not prefixed with
+    // __LINE__ so it can be used by both the `PARAMS` and `NAME`. The special
+    // template declaration type prevents this variable to be declared multiple
+    // times within the same scope.
+    boost::scope_exit::aux::declared<boost::scope_exit::aux::resolve<
+            sizeof(boost_local_auxXargs)>::cmp1<0>::cmp2> boost_local_auxXargs;
+    boost_local_auxXargs.value = &params_29;
+    
+    // Functor for local function.
+    class functor_29:
+            // Base used to assign local functions to `function_ref` which can
+            // then be passed as template parameter.
+            public ::boost::local::aux::function_base<function_type_29, 1> {
+        typedef ::boost::local::function_ref<function_type_29, 1> function_type;
+        binds_29* binds_; // Bound parameter values.
+    public:
+        // Public so it can be used later to deduce function type where
+        // __LINE__ postfixed symbols `..._29` are no longer available.
+        function_type* deduce_function_type;
+        explicit functor_29(void* binds):
+                binds_(static_cast<binds_29*>(binds)) {
+            init_recursion();
+        }
+        result_type_29 operator()(arg_type_0_29 arg_0, arg_type_1_29 arg_1) { 
+            assert(binds_);
+            return body(
+                binds_->bind_value_0_29.value 
+                // Using general names `arg_i` because parameter types and
+                // names are not separated by the preprocessor so the actual
+                // argument name (e.g., `n`) is not available here.
+                , arg_0, arg_1 
+            ); 
+        }
+        // Overloading to support default parameters.
+        result_type_29 operator()(arg_type_0_29 arg_0) { 
+            assert(binds_);
+            return body(
+                  binds_->bind_value_0_29.value 
+                , arg_0 
+            ); 
+        } 
+    private: 
+        // LIMITATION: Body cannot be static because it has to access the
+        // member named after the function name for recursive calls (the
+        // function name is not know to this macro). However, ideally the body
+        // will be static so to prevent using `this` instead of `this_` by
+        // mistake (in most cases this will still cause a compile-time error
+        // because when functor has a different structure than the bound object
+        // `this_` -- but that is not the case if `this` is mistakenly used
+        // instead of `this` to do pointer operations). Programmers need to
+        // inspect the local function body code by eye and make sure that
+        // `this` is not used by the body code.
+        result_type_29 body(
+#if PARAMS_is_const_bind_0
+              ::boost::add_const< // Handle constant binding.
+#endif
+                    binds_29::bind_type_0_29 
+#if PARAMS_is_const_bind_0
+              >::type
+#endif
+                    PARAMS_bind_0
+            , PARAMS_arg_with_dflt_0
+            , PARAMS_arg_with_dflt_1)
+    
+    // Local function body (programmed outside the macros).
+    
+    {
+        int result = 0;
+        if (n < 2 ) result = 1;
+        else result = n * factorial(n - 1, true);
+
+        if (!recursion) output << result << " ";
+        return result;
+    }
+
+// All `..._29` and `PARAMS_...` symbols are only available for within `PARAMS`
+// macro expansion for the code above.
+#undef PARAMS_arg0
+#undef PARAMS_dflt0
+#undef PARAMS_arg1
+#undef PARAMS_dflt1
+#undef PARAMS_bind0
+
+    // The macro:
+    //
+    //  BOOST_LOCAL_FUNCTION_NAME(factorial)
+    //
+    // Expands to code equivalent to the following. Note:
+    //
+    // * Use function name `factorial` to generate unique symbols.
+    // * Function name `factorial` available.
+    // * None of the `..._29` symbols are available (different __LINE__).
+
+        // Member with function name for recursive calls. This cannot be
+        // defined sooner because the function name is only available here.
+        function_type factorial;
+        // Cannot be programmed in the constructor because it sets the
+        // `factorial` member with name only known in this macro expansion.
+        void init_recursion() { factorial = *this; }
+    } object_factorial(boost_local_auxXargs.value);
+    // The struct type cannot be passed as template parameter but the function
+    // type `function_ref<...>` deduced here can.
+    BOOST_TYPEOF(*object_factorial.deduce_function_type) factorial(
+            object_factorial);
+    
+    // Rest of the program.
+
+    std::vector<int> v;
+    v.resize(3);
+    v[0] = 1; v[1] = 4; v[2] = 7;
+    std::for_each(v.begin(), v.end(), factorial);
+
+    std::cout << output.str() << std::endl;
+    return 0;
+}
+//]
+

Added: sandbox/local/libs/local/simpler_syntax/jamfile.jam
==============================================================================
--- (empty file)
+++ sandbox/local/libs/local/simpler_syntax/jamfile.jam	2011-02-11 17:38:13 EST (Fri, 11 Feb 2011)
@@ -0,0 +1,9 @@
+
+# Copyright (C) 2009-2011 Lorenzo Caminiti
+# Use, modification, and distribution is subject to the
+# Boost Software License, Version 1.0
+# (see accompanying file LICENSE_1_0.txt or a copy at
+# http://www.boost.org/LICENSE_1_0.txt).
+
+exe factorial_nomacros : factorial_nomacros.06.cpp ;
+