# 1 "../test.cpp"
# 1 "/d/workspace/blaspp/Debug//"
# 1 "<built-in>"
#define __STDC__ 1
#define __cplusplus 201402L
#define __STDC_UTF_16__ 1
#define __STDC_UTF_32__ 1
#define __STDC_HOSTED__ 1
#define __GNUC__ 7
#define __GNUC_MINOR__ 3
#define __GNUC_PATCHLEVEL__ 0
#define __VERSION__ "7.3.0"
#define __ATOMIC_RELAXED 0
#define __ATOMIC_SEQ_CST 5
#define __ATOMIC_ACQUIRE 2
#define __ATOMIC_RELEASE 3
#define __ATOMIC_ACQ_REL 4
#define __ATOMIC_CONSUME 1
#define __pic__ 2
#define __PIC__ 2
#define __pie__ 2
#define __PIE__ 2
#define __FINITE_MATH_ONLY__ 0
#define _LP64 1
#define __LP64__ 1
#define __SIZEOF_INT__ 4
#define __SIZEOF_LONG__ 8
#define __SIZEOF_LONG_LONG__ 8
#define __SIZEOF_SHORT__ 2
#define __SIZEOF_FLOAT__ 4
#define __SIZEOF_DOUBLE__ 8
#define __SIZEOF_LONG_DOUBLE__ 16
#define __SIZEOF_SIZE_T__ 8
#define __CHAR_BIT__ 8
#define __BIGGEST_ALIGNMENT__ 16
#define __ORDER_LITTLE_ENDIAN__ 1234
#define __ORDER_BIG_ENDIAN__ 4321
#define __ORDER_PDP_ENDIAN__ 3412
#define __BYTE_ORDER__ __ORDER_LITTLE_ENDIAN__
#define __FLOAT_WORD_ORDER__ __ORDER_LITTLE_ENDIAN__
#define __SIZEOF_POINTER__ 8
#define __GNUG__ 7
#define __SIZE_TYPE__ long unsigned int
#define __PTRDIFF_TYPE__ long int
#define __WCHAR_TYPE__ int
#define __WINT_TYPE__ unsigned int
#define __INTMAX_TYPE__ long int
#define __UINTMAX_TYPE__ long unsigned int
#define __CHAR16_TYPE__ short unsigned int
#define __CHAR32_TYPE__ unsigned int
#define __SIG_ATOMIC_TYPE__ int
#define __INT8_TYPE__ signed char
#define __INT16_TYPE__ short int
#define __INT32_TYPE__ int
#define __INT64_TYPE__ long int
#define __UINT8_TYPE__ unsigned char
#define __UINT16_TYPE__ short unsigned int
#define __UINT32_TYPE__ unsigned int
#define __UINT64_TYPE__ long unsigned int
#define __INT_LEAST8_TYPE__ signed char
#define __INT_LEAST16_TYPE__ short int
#define __INT_LEAST32_TYPE__ int
#define __INT_LEAST64_TYPE__ long int
#define __UINT_LEAST8_TYPE__ unsigned char
#define __UINT_LEAST16_TYPE__ short unsigned int
#define __UINT_LEAST32_TYPE__ unsigned int
#define __UINT_LEAST64_TYPE__ long unsigned int
#define __INT_FAST8_TYPE__ signed char
#define __INT_FAST16_TYPE__ long int
#define __INT_FAST32_TYPE__ long int
#define __INT_FAST64_TYPE__ long int
#define __UINT_FAST8_TYPE__ unsigned char
#define __UINT_FAST16_TYPE__ long unsigned int
#define __UINT_FAST32_TYPE__ long unsigned int
#define __UINT_FAST64_TYPE__ long unsigned int
#define __INTPTR_TYPE__ long int
#define __UINTPTR_TYPE__ long unsigned int
#define __has_include(STR) __has_include__(STR)
#define __has_include_next(STR) __has_include_next__(STR)
#define __GXX_WEAK__ 1
#define __DEPRECATED 1
#define __GXX_RTTI 1
#define __cpp_rtti 199711
#define __GXX_EXPERIMENTAL_CXX0X__ 1
#define __cpp_binary_literals 201304
#define __cpp_hex_float 201603
#define __cpp_runtime_arrays 198712
#define __cpp_unicode_characters 200704
#define __cpp_raw_strings 200710
#define __cpp_unicode_literals 200710
#define __cpp_user_defined_literals 200809
#define __cpp_lambdas 200907
#define __cpp_range_based_for 200907
#define __cpp_static_assert 200410
#define __cpp_decltype 200707
#define __cpp_attributes 200809
#define __cpp_rvalue_reference 200610
#define __cpp_rvalue_references 200610
#define __cpp_variadic_templates 200704
#define __cpp_initializer_lists 200806
#define __cpp_delegating_constructors 200604
#define __cpp_nsdmi 200809
#define __cpp_inheriting_constructors 201511
#define __cpp_ref_qualifiers 200710
#define __cpp_alias_templates 200704
#define __cpp_return_type_deduction 201304
#define __cpp_init_captures 201304
#define __cpp_generic_lambdas 201304
#define __cpp_constexpr 201304
#define __cpp_decltype_auto 201304
#define __cpp_aggregate_nsdmi 201304
#define __cpp_variable_templates 201304
#define __cpp_digit_separators 201309
#define __cpp_sized_deallocation 201309
#define __cpp_threadsafe_static_init 200806
#define __EXCEPTIONS 1
#define __cpp_exceptions 199711
#define __GXX_ABI_VERSION 1011
#define __SCHAR_MAX__ 0x7f
#define __SHRT_MAX__ 0x7fff
#define __INT_MAX__ 0x7fffffff
#define __LONG_MAX__ 0x7fffffffffffffffL
#define __LONG_LONG_MAX__ 0x7fffffffffffffffLL
#define __WCHAR_MAX__ 0x7fffffff
#define __WCHAR_MIN__ (-__WCHAR_MAX__ - 1)
#define __WINT_MAX__ 0xffffffffU
#define __WINT_MIN__ 0U
#define __PTRDIFF_MAX__ 0x7fffffffffffffffL
#define __SIZE_MAX__ 0xffffffffffffffffUL
#define __SCHAR_WIDTH__ 8
#define __SHRT_WIDTH__ 16
#define __INT_WIDTH__ 32
#define __LONG_WIDTH__ 64
#define __LONG_LONG_WIDTH__ 64
#define __WCHAR_WIDTH__ 32
#define __WINT_WIDTH__ 32
#define __PTRDIFF_WIDTH__ 64
#define __SIZE_WIDTH__ 64
#define __GLIBCXX_TYPE_INT_N_0 __int128
#define __GLIBCXX_BITSIZE_INT_N_0 128
#define __INTMAX_MAX__ 0x7fffffffffffffffL
#define __INTMAX_C(c) c ## L
#define __UINTMAX_MAX__ 0xffffffffffffffffUL
#define __UINTMAX_C(c) c ## UL
#define __INTMAX_WIDTH__ 64
#define __SIG_ATOMIC_MAX__ 0x7fffffff
#define __SIG_ATOMIC_MIN__ (-__SIG_ATOMIC_MAX__ - 1)
#define __SIG_ATOMIC_WIDTH__ 32
#define __INT8_MAX__ 0x7f
#define __INT16_MAX__ 0x7fff
#define __INT32_MAX__ 0x7fffffff
#define __INT64_MAX__ 0x7fffffffffffffffL
#define __UINT8_MAX__ 0xff
#define __UINT16_MAX__ 0xffff
#define __UINT32_MAX__ 0xffffffffU
#define __UINT64_MAX__ 0xffffffffffffffffUL
#define __INT_LEAST8_MAX__ 0x7f
#define __INT8_C(c) c
#define __INT_LEAST8_WIDTH__ 8
#define __INT_LEAST16_MAX__ 0x7fff
#define __INT16_C(c) c
#define __INT_LEAST16_WIDTH__ 16
#define __INT_LEAST32_MAX__ 0x7fffffff
#define __INT32_C(c) c
#define __INT_LEAST32_WIDTH__ 32
#define __INT_LEAST64_MAX__ 0x7fffffffffffffffL
#define __INT64_C(c) c ## L
#define __INT_LEAST64_WIDTH__ 64
#define __UINT_LEAST8_MAX__ 0xff
#define __UINT8_C(c) c
#define __UINT_LEAST16_MAX__ 0xffff
#define __UINT16_C(c) c
#define __UINT_LEAST32_MAX__ 0xffffffffU
#define __UINT32_C(c) c ## U
#define __UINT_LEAST64_MAX__ 0xffffffffffffffffUL
#define __UINT64_C(c) c ## UL
#define __INT_FAST8_MAX__ 0x7f
#define __INT_FAST8_WIDTH__ 8
#define __INT_FAST16_MAX__ 0x7fffffffffffffffL
#define __INT_FAST16_WIDTH__ 64
#define __INT_FAST32_MAX__ 0x7fffffffffffffffL
#define __INT_FAST32_WIDTH__ 64
#define __INT_FAST64_MAX__ 0x7fffffffffffffffL
#define __INT_FAST64_WIDTH__ 64
#define __UINT_FAST8_MAX__ 0xff
#define __UINT_FAST16_MAX__ 0xffffffffffffffffUL
#define __UINT_FAST32_MAX__ 0xffffffffffffffffUL
#define __UINT_FAST64_MAX__ 0xffffffffffffffffUL
#define __INTPTR_MAX__ 0x7fffffffffffffffL
#define __INTPTR_WIDTH__ 64
#define __UINTPTR_MAX__ 0xffffffffffffffffUL
#define __GCC_IEC_559 2
#define __GCC_IEC_559_COMPLEX 2
#define __FLT_EVAL_METHOD__ 0
#define __FLT_EVAL_METHOD_TS_18661_3__ 0
#define __DEC_EVAL_METHOD__ 2
#define __FLT_RADIX__ 2
#define __FLT_MANT_DIG__ 24
#define __FLT_DIG__ 6
#define __FLT_MIN_EXP__ (-125)
#define __FLT_MIN_10_EXP__ (-37)
#define __FLT_MAX_EXP__ 128
#define __FLT_MAX_10_EXP__ 38
#define __FLT_DECIMAL_DIG__ 9
#define __FLT_MAX__ 3.40282346638528859811704183484516925e+38F
#define __FLT_MIN__ 1.17549435082228750796873653722224568e-38F
#define __FLT_EPSILON__ 1.19209289550781250000000000000000000e-7F
#define __FLT_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F
#define __FLT_HAS_DENORM__ 1
#define __FLT_HAS_INFINITY__ 1
#define __FLT_HAS_QUIET_NAN__ 1
#define __DBL_MANT_DIG__ 53
#define __DBL_DIG__ 15
#define __DBL_MIN_EXP__ (-1021)
#define __DBL_MIN_10_EXP__ (-307)
#define __DBL_MAX_EXP__ 1024
#define __DBL_MAX_10_EXP__ 308
#define __DBL_DECIMAL_DIG__ 17
#define __DBL_MAX__ double(1.79769313486231570814527423731704357e+308L)
#define __DBL_MIN__ double(2.22507385850720138309023271733240406e-308L)
#define __DBL_EPSILON__ double(2.22044604925031308084726333618164062e-16L)
#define __DBL_DENORM_MIN__ double(4.94065645841246544176568792868221372e-324L)
#define __DBL_HAS_DENORM__ 1
#define __DBL_HAS_INFINITY__ 1
#define __DBL_HAS_QUIET_NAN__ 1
#define __LDBL_MANT_DIG__ 64
#define __LDBL_DIG__ 18
#define __LDBL_MIN_EXP__ (-16381)
#define __LDBL_MIN_10_EXP__ (-4931)
#define __LDBL_MAX_EXP__ 16384
#define __LDBL_MAX_10_EXP__ 4932
#define __DECIMAL_DIG__ 21
#define __LDBL_DECIMAL_DIG__ 21
#define __LDBL_MAX__ 1.18973149535723176502126385303097021e+4932L
#define __LDBL_MIN__ 3.36210314311209350626267781732175260e-4932L
#define __LDBL_EPSILON__ 1.08420217248550443400745280086994171e-19L
#define __LDBL_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951L
#define __LDBL_HAS_DENORM__ 1
#define __LDBL_HAS_INFINITY__ 1
#define __LDBL_HAS_QUIET_NAN__ 1
#define __FLT32_MANT_DIG__ 24
#define __FLT32_DIG__ 6
#define __FLT32_MIN_EXP__ (-125)
#define __FLT32_MIN_10_EXP__ (-37)
#define __FLT32_MAX_EXP__ 128
#define __FLT32_MAX_10_EXP__ 38
#define __FLT32_DECIMAL_DIG__ 9
#define __FLT32_MAX__ 3.40282346638528859811704183484516925e+38F32
#define __FLT32_MIN__ 1.17549435082228750796873653722224568e-38F32
#define __FLT32_EPSILON__ 1.19209289550781250000000000000000000e-7F32
#define __FLT32_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F32
#define __FLT32_HAS_DENORM__ 1
#define __FLT32_HAS_INFINITY__ 1
#define __FLT32_HAS_QUIET_NAN__ 1
#define __FLT64_MANT_DIG__ 53
#define __FLT64_DIG__ 15
#define __FLT64_MIN_EXP__ (-1021)
#define __FLT64_MIN_10_EXP__ (-307)
#define __FLT64_MAX_EXP__ 1024
#define __FLT64_MAX_10_EXP__ 308
#define __FLT64_DECIMAL_DIG__ 17
#define __FLT64_MAX__ 1.79769313486231570814527423731704357e+308F64
#define __FLT64_MIN__ 2.22507385850720138309023271733240406e-308F64
#define __FLT64_EPSILON__ 2.22044604925031308084726333618164062e-16F64
#define __FLT64_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F64
#define __FLT64_HAS_DENORM__ 1
#define __FLT64_HAS_INFINITY__ 1
#define __FLT64_HAS_QUIET_NAN__ 1
#define __FLT128_MANT_DIG__ 113
#define __FLT128_DIG__ 33
#define __FLT128_MIN_EXP__ (-16381)
#define __FLT128_MIN_10_EXP__ (-4931)
#define __FLT128_MAX_EXP__ 16384
#define __FLT128_MAX_10_EXP__ 4932
#define __FLT128_DECIMAL_DIG__ 36
#define __FLT128_MAX__ 1.18973149535723176508575932662800702e+4932F128
#define __FLT128_MIN__ 3.36210314311209350626267781732175260e-4932F128
#define __FLT128_EPSILON__ 1.92592994438723585305597794258492732e-34F128
#define __FLT128_DENORM_MIN__ 6.47517511943802511092443895822764655e-4966F128
#define __FLT128_HAS_DENORM__ 1
#define __FLT128_HAS_INFINITY__ 1
#define __FLT128_HAS_QUIET_NAN__ 1
#define __FLT32X_MANT_DIG__ 53
#define __FLT32X_DIG__ 15
#define __FLT32X_MIN_EXP__ (-1021)
#define __FLT32X_MIN_10_EXP__ (-307)
#define __FLT32X_MAX_EXP__ 1024
#define __FLT32X_MAX_10_EXP__ 308
#define __FLT32X_DECIMAL_DIG__ 17
#define __FLT32X_MAX__ 1.79769313486231570814527423731704357e+308F32x
#define __FLT32X_MIN__ 2.22507385850720138309023271733240406e-308F32x
#define __FLT32X_EPSILON__ 2.22044604925031308084726333618164062e-16F32x
#define __FLT32X_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F32x
#define __FLT32X_HAS_DENORM__ 1
#define __FLT32X_HAS_INFINITY__ 1
#define __FLT32X_HAS_QUIET_NAN__ 1
#define __FLT64X_MANT_DIG__ 64
#define __FLT64X_DIG__ 18
#define __FLT64X_MIN_EXP__ (-16381)
#define __FLT64X_MIN_10_EXP__ (-4931)
#define __FLT64X_MAX_EXP__ 16384
#define __FLT64X_MAX_10_EXP__ 4932
#define __FLT64X_DECIMAL_DIG__ 21
#define __FLT64X_MAX__ 1.18973149535723176502126385303097021e+4932F64x
#define __FLT64X_MIN__ 3.36210314311209350626267781732175260e-4932F64x
#define __FLT64X_EPSILON__ 1.08420217248550443400745280086994171e-19F64x
#define __FLT64X_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951F64x
#define __FLT64X_HAS_DENORM__ 1
#define __FLT64X_HAS_INFINITY__ 1
#define __FLT64X_HAS_QUIET_NAN__ 1
#define __DEC32_MANT_DIG__ 7
#define __DEC32_MIN_EXP__ (-94)
#define __DEC32_MAX_EXP__ 97
#define __DEC32_MIN__ 1E-95DF
#define __DEC32_MAX__ 9.999999E96DF
#define __DEC32_EPSILON__ 1E-6DF
#define __DEC32_SUBNORMAL_MIN__ 0.000001E-95DF
#define __DEC64_MANT_DIG__ 16
#define __DEC64_MIN_EXP__ (-382)
#define __DEC64_MAX_EXP__ 385
#define __DEC64_MIN__ 1E-383DD
#define __DEC64_MAX__ 9.999999999999999E384DD
#define __DEC64_EPSILON__ 1E-15DD
#define __DEC64_SUBNORMAL_MIN__ 0.000000000000001E-383DD
#define __DEC128_MANT_DIG__ 34
#define __DEC128_MIN_EXP__ (-6142)
#define __DEC128_MAX_EXP__ 6145
#define __DEC128_MIN__ 1E-6143DL
#define __DEC128_MAX__ 9.999999999999999999999999999999999E6144DL
#define __DEC128_EPSILON__ 1E-33DL
#define __DEC128_SUBNORMAL_MIN__ 0.000000000000000000000000000000001E-6143DL
#define __REGISTER_PREFIX__ 
#define __USER_LABEL_PREFIX__ 
#define __GNUC_STDC_INLINE__ 1
#define __NO_INLINE__ 1
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_1 1
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_2 1
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 1
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_8 1
#define __GCC_ATOMIC_BOOL_LOCK_FREE 2
#define __GCC_ATOMIC_CHAR_LOCK_FREE 2
#define __GCC_ATOMIC_CHAR16_T_LOCK_FREE 2
#define __GCC_ATOMIC_CHAR32_T_LOCK_FREE 2
#define __GCC_ATOMIC_WCHAR_T_LOCK_FREE 2
#define __GCC_ATOMIC_SHORT_LOCK_FREE 2
#define __GCC_ATOMIC_INT_LOCK_FREE 2
#define __GCC_ATOMIC_LONG_LOCK_FREE 2
#define __GCC_ATOMIC_LLONG_LOCK_FREE 2
#define __GCC_ATOMIC_TEST_AND_SET_TRUEVAL 1
#define __GCC_ATOMIC_POINTER_LOCK_FREE 2
#define __GCC_HAVE_DWARF2_CFI_ASM 1
#define __PRAGMA_REDEFINE_EXTNAME 1
#define __SSP_STRONG__ 3
#define __SIZEOF_INT128__ 16
#define __SIZEOF_WCHAR_T__ 4
#define __SIZEOF_WINT_T__ 4
#define __SIZEOF_PTRDIFF_T__ 8
#define __amd64 1
#define __amd64__ 1
#define __x86_64 1
#define __x86_64__ 1
#define __SIZEOF_FLOAT80__ 16
#define __SIZEOF_FLOAT128__ 16
#define __ATOMIC_HLE_ACQUIRE 65536
#define __ATOMIC_HLE_RELEASE 131072
#define __GCC_ASM_FLAG_OUTPUTS__ 1
#define __k8 1
#define __k8__ 1
#define __code_model_small__ 1
#define __MMX__ 1
#define __SSE__ 1
#define __SSE2__ 1
#define __FXSR__ 1
#define __SSE_MATH__ 1
#define __SSE2_MATH__ 1
#define __SEG_FS 1
#define __SEG_GS 1
#define __gnu_linux__ 1
#define __linux 1
#define __linux__ 1
#define linux 1
#define __unix 1
#define __unix__ 1
#define unix 1
#define __ELF__ 1
#define __DECIMAL_BID_FORMAT__ 1
# 1 "<command-line>"
#define _GNU_SOURCE 1
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 19 "/usr/include/stdc-predef.h" 3 4
#define _STDC_PREDEF_H 1
# 38 "/usr/include/stdc-predef.h" 3 4
#define __STDC_IEC_559__ 1







#define __STDC_IEC_559_COMPLEX__ 1
# 58 "/usr/include/stdc-predef.h" 3 4
#define __STDC_ISO_10646__ 201706L


#define __STDC_NO_THREADS__ 1
# 1 "<command-line>" 2
# 1 "../test.cpp"







# 1 "../blaspp.h" 1
# 9 "../blaspp.h"
#define BLASPP_H_ 

# 1 "/usr/include/c++/7/array" 1 3
# 30 "/usr/include/c++/7/array" 3
#define _GLIBCXX_ARRAY 1

       
# 33 "/usr/include/c++/7/array" 3





# 1 "/usr/include/c++/7/utility" 1 3
# 56 "/usr/include/c++/7/utility" 3
#define _GLIBCXX_UTILITY 1

       
# 59 "/usr/include/c++/7/utility" 3
# 68 "/usr/include/c++/7/utility" 3
# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 1 3
# 31 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_CXX_CONFIG_H 1


#define _GLIBCXX_RELEASE 7


#define __GLIBCXX__ 20180720
# 46 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_PURE __attribute__ ((__pure__))



#define _GLIBCXX_CONST __attribute__ ((__const__))



#define _GLIBCXX_NORETURN __attribute__ ((__noreturn__))
# 67 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE_ATTRIBUTE_VISIBILITY 1


#define _GLIBCXX_VISIBILITY(V) __attribute__ ((__visibility__ (#V)))
# 81 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_USE_DEPRECATED 1



#define _GLIBCXX_DEPRECATED __attribute__ ((__deprecated__))






#define _GLIBCXX_ABI_TAG_CXX11 __attribute ((__abi_tag__ ("cxx11")))
# 101 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_CONSTEXPR constexpr
#define _GLIBCXX_USE_CONSTEXPR constexpr
# 111 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX14_CONSTEXPR constexpr
# 121 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX17_CONSTEXPR 







#define _GLIBCXX17_INLINE 






#define _GLIBCXX_NOEXCEPT noexcept
#define _GLIBCXX_NOEXCEPT_IF(_COND) noexcept(_COND)
#define _GLIBCXX_USE_NOEXCEPT noexcept
#define _GLIBCXX_THROW(_EXC) 
# 149 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_NOTHROW _GLIBCXX_USE_NOEXCEPT




#define _GLIBCXX_THROW_OR_ABORT(_EXC) (throw (_EXC))
# 164 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_NOEXCEPT_PARM 
#define _GLIBCXX_NOEXCEPT_QUAL 
# 178 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_EXTERN_TEMPLATE 1
# 229 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3

# 229 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;

}

#define _GLIBCXX_USE_DUAL_ABI 1







#define _GLIBCXX_USE_CXX11_ABI 1



namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
#define _GLIBCXX_NAMESPACE_CXX11 __cxx11::
#define _GLIBCXX_BEGIN_NAMESPACE_CXX11 namespace __cxx11 {
#define _GLIBCXX_END_NAMESPACE_CXX11 }
#define _GLIBCXX_DEFAULT_ABI_TAG _GLIBCXX_ABI_TAG_CXX11
# 272 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_INLINE_VERSION 0
# 330 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_BEGIN_NAMESPACE_VERSION 
#define _GLIBCXX_END_NAMESPACE_VERSION 
# 403 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_STD_C std
#define _GLIBCXX_BEGIN_NAMESPACE_CONTAINER _GLIBCXX_BEGIN_NAMESPACE_VERSION
#define _GLIBCXX_END_NAMESPACE_CONTAINER _GLIBCXX_END_NAMESPACE_VERSION
# 415 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_STD_A std
#define _GLIBCXX_BEGIN_NAMESPACE_ALGO _GLIBCXX_BEGIN_NAMESPACE_VERSION
#define _GLIBCXX_END_NAMESPACE_ALGO _GLIBCXX_END_NAMESPACE_VERSION




#undef _GLIBCXX_LONG_DOUBLE_COMPAT
# 434 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_NAMESPACE_LDBL 
#define _GLIBCXX_BEGIN_NAMESPACE_LDBL 
#define _GLIBCXX_END_NAMESPACE_LDBL 


#define _GLIBCXX_NAMESPACE_LDBL_OR_CXX11 _GLIBCXX_NAMESPACE_CXX11
#define _GLIBCXX_BEGIN_NAMESPACE_LDBL_OR_CXX11 _GLIBCXX_BEGIN_NAMESPACE_CXX11
#define _GLIBCXX_END_NAMESPACE_LDBL_OR_CXX11 _GLIBCXX_END_NAMESPACE_CXX11
# 487 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define __glibcxx_assert(_Condition) 
# 512 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_SYNCHRONIZATION_HAPPENS_BEFORE(A) 


#define _GLIBCXX_SYNCHRONIZATION_HAPPENS_AFTER(A) 



#define _GLIBCXX_BEGIN_EXTERN_C extern "C" {
#define _GLIBCXX_END_EXTERN_C }

#define _GLIBCXX_USE_ALLOCATOR_NEW 1
# 533 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/os_defines.h" 1 3
# 31 "/usr/include/x86_64-linux-gnu/c++/7/bits/os_defines.h" 3
#define _GLIBCXX_OS_DEFINES 1





#define __NO_CTYPE 1

# 1 "/usr/include/features.h" 1 3 4
# 19 "/usr/include/features.h" 3 4
#define _FEATURES_H 1
# 119 "/usr/include/features.h" 3 4
#undef __USE_ISOC11
#undef __USE_ISOC99
#undef __USE_ISOC95
#undef __USE_ISOCXX11
#undef __USE_POSIX
#undef __USE_POSIX2
#undef __USE_POSIX199309
#undef __USE_POSIX199506
#undef __USE_XOPEN
#undef __USE_XOPEN_EXTENDED
#undef __USE_UNIX98
#undef __USE_XOPEN2K
#undef __USE_XOPEN2KXSI
#undef __USE_XOPEN2K8
#undef __USE_XOPEN2K8XSI
#undef __USE_LARGEFILE
#undef __USE_LARGEFILE64
#undef __USE_FILE_OFFSET64
#undef __USE_MISC
#undef __USE_ATFILE
#undef __USE_GNU
#undef __USE_FORTIFY_LEVEL
#undef __KERNEL_STRICT_NAMES
#undef __GLIBC_USE_DEPRECATED_GETS




#define __KERNEL_STRICT_NAMES 
# 158 "/usr/include/features.h" 3 4
#define __GNUC_PREREQ(maj,min) ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
# 172 "/usr/include/features.h" 3 4
#define __glibc_clang_prereq(maj,min) 0



#define __GLIBC_USE(F) __GLIBC_USE_ ## F
# 191 "/usr/include/features.h" 3 4
#undef _ISOC95_SOURCE
#define _ISOC95_SOURCE 1
#undef _ISOC99_SOURCE
#define _ISOC99_SOURCE 1
#undef _ISOC11_SOURCE
#define _ISOC11_SOURCE 1
#undef _POSIX_SOURCE
#define _POSIX_SOURCE 1
#undef _POSIX_C_SOURCE
#define _POSIX_C_SOURCE 200809L
#undef _XOPEN_SOURCE
#define _XOPEN_SOURCE 700
#undef _XOPEN_SOURCE_EXTENDED
#define _XOPEN_SOURCE_EXTENDED 1
#undef _LARGEFILE64_SOURCE
#define _LARGEFILE64_SOURCE 1
#undef _DEFAULT_SOURCE
#define _DEFAULT_SOURCE 1
#undef _ATFILE_SOURCE
#define _ATFILE_SOURCE 1
# 220 "/usr/include/features.h" 3 4
#undef _DEFAULT_SOURCE
#define _DEFAULT_SOURCE 1





#define __USE_ISOC11 1





#define __USE_ISOC99 1





#define __USE_ISOC95 1
# 250 "/usr/include/features.h" 3 4
#define __USE_ISOCXX11 1
#define __USE_ISOC99 1
# 262 "/usr/include/features.h" 3 4
#undef _POSIX_SOURCE
#define _POSIX_SOURCE 1
#undef _POSIX_C_SOURCE
#define _POSIX_C_SOURCE 200809L
# 300 "/usr/include/features.h" 3 4
#define __USE_POSIX 1



#define __USE_POSIX2 1



#define __USE_POSIX199309 1



#define __USE_POSIX199506 1



#define __USE_XOPEN2K 1
#undef __USE_ISOC95
#define __USE_ISOC95 1
#undef __USE_ISOC99
#define __USE_ISOC99 1



#define __USE_XOPEN2K8 1
#undef _ATFILE_SOURCE
#define _ATFILE_SOURCE 1



#define __USE_XOPEN 1

#define __USE_XOPEN_EXTENDED 1
#define __USE_UNIX98 1
#undef _LARGEFILE_SOURCE
#define _LARGEFILE_SOURCE 1


#define __USE_XOPEN2K8 1
#define __USE_XOPEN2K8XSI 1

#define __USE_XOPEN2K 1
#define __USE_XOPEN2KXSI 1
#undef __USE_ISOC95
#define __USE_ISOC95 1
#undef __USE_ISOC99
#define __USE_ISOC99 1
# 356 "/usr/include/features.h" 3 4
#define __USE_LARGEFILE 1



#define __USE_LARGEFILE64 1







#define __USE_MISC 1



#define __USE_ATFILE 1



#define __USE_GNU 1
# 387 "/usr/include/features.h" 3 4
#define __USE_FORTIFY_LEVEL 0







#define __GLIBC_USE_DEPRECATED_GETS 0
# 410 "/usr/include/features.h" 3 4
#undef __GNU_LIBRARY__
#define __GNU_LIBRARY__ 6



#define __GLIBC__ 2
#define __GLIBC_MINOR__ 27

#define __GLIBC_PREREQ(maj,min) ((__GLIBC__ << 16) + __GLIBC_MINOR__ >= ((maj) << 16) + (min))





# 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define _SYS_CDEFS_H 1
# 34 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#undef __P
#undef __PMT






#define __LEAF , __leaf__
#define __LEAF_ATTR __attribute__ ((__leaf__))
# 61 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __THROW throw ()
#define __THROWNL throw ()
#define __NTH(fct) __LEAF_ATTR fct throw ()
#define __NTHNL(fct) fct throw ()
# 89 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __glibc_clang_has_extension(ext) 0




#define __P(args) args
#define __PMT(args) args




#define __CONCAT(x,y) x ## y
#define __STRING(x) #x


#define __ptr_t void *




#define __BEGIN_DECLS extern "C" {
#define __END_DECLS }







#define __bos(ptr) __builtin_object_size (ptr, __USE_FORTIFY_LEVEL > 1)
#define __bos0(ptr) __builtin_object_size (ptr, 0)


#define __warndecl(name,msg) extern void name (void) __attribute__((__warning__ (msg)))

#define __warnattr(msg) __attribute__((__warning__ (msg)))
#define __errordecl(name,msg) extern void name (void) __attribute__((__error__ (msg)))
# 143 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __flexarr []
#define __glibc_c99_flexarr_available 1
# 169 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __REDIRECT(name,proto,alias) name proto __asm__ (__ASMNAME (#alias))

#define __REDIRECT_NTH(name,proto,alias) name proto __THROW __asm__ (__ASMNAME (#alias))

#define __REDIRECT_NTHNL(name,proto,alias) name proto __THROWNL __asm__ (__ASMNAME (#alias))







#define __ASMNAME(cname) __ASMNAME2 (__USER_LABEL_PREFIX__, cname)
#define __ASMNAME2(prefix,cname) __STRING (prefix) cname
# 203 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_malloc__ __attribute__ ((__malloc__))







#define __attribute_alloc_size__(params) __attribute__ ((__alloc_size__ params))
# 221 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_pure__ __attribute__ ((__pure__))






#define __attribute_const__ __attribute__ ((__const__))
# 237 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_used__ __attribute__ ((__used__))
#define __attribute_noinline__ __attribute__ ((__noinline__))







#define __attribute_deprecated__ __attribute__ ((__deprecated__))
# 256 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_deprecated_msg__(msg) __attribute__ ((__deprecated__ (msg)))
# 269 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_format_arg__(x) __attribute__ ((__format_arg__ (x)))
# 279 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_format_strfmon__(a,b) __attribute__ ((__format__ (__strfmon__, a, b)))
# 288 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __nonnull(params) __attribute__ ((__nonnull__ params))







#define __attribute_warn_unused_result__ __attribute__ ((__warn_unused_result__))
# 305 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __wur 







#undef __always_inline
#define __always_inline __inline __attribute__ ((__always_inline__))
# 323 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_artificial__ __attribute__ ((__artificial__))
# 341 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __extern_inline extern __inline __attribute__ ((__gnu_inline__))
#define __extern_always_inline extern __always_inline __attribute__ ((__gnu_inline__))
# 351 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __fortify_function __extern_always_inline __attribute_artificial__





#define __va_arg_pack() __builtin_va_arg_pack ()
#define __va_arg_pack_len() __builtin_va_arg_pack_len ()
# 381 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __restrict_arr 
# 393 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __glibc_unlikely(cond) __builtin_expect ((cond), 0)
#define __glibc_likely(cond) __builtin_expect ((cond), 1)
# 416 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __attribute_nonstring__ 
# 427 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 428 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 429 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 450 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __LDBL_REDIR1(name,proto,alias) name proto
#define __LDBL_REDIR(name,proto) name proto
#define __LDBL_REDIR1_NTH(name,proto,alias) name proto __THROW
#define __LDBL_REDIR_NTH(name,proto) name proto __THROW
#define __LDBL_REDIR_DECL(name) 

#define __REDIRECT_LDBL(name,proto,alias) __REDIRECT (name, proto, alias)
#define __REDIRECT_NTH_LDBL(name,proto,alias) __REDIRECT_NTH (name, proto, alias)
# 468 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __glibc_macro_warning1(message) _Pragma (#message)
#define __glibc_macro_warning(message) __glibc_macro_warning1 (GCC warning message)
# 489 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
#define __HAVE_GENERIC_SELECTION 0
# 425 "/usr/include/features.h" 2 3 4
# 448 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 3 4
#define __stub___compat_bdflush 
#define __stub_chflags 
#define __stub_fattach 
#define __stub_fchflags 
#define __stub_fdetach 
#define __stub_getmsg 
#define __stub_gtty 
#define __stub_lchmod 
#define __stub_putmsg 
#define __stub_revoke 
#define __stub_setlogin 
#define __stub_sigreturn 
#define __stub_sstk 
#define __stub_stty 
# 11 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 2 3 4
# 449 "/usr/include/features.h" 2 3 4
# 40 "/usr/include/x86_64-linux-gnu/c++/7/bits/os_defines.h" 2 3





#undef _GLIBCXX_HAVE_GETS




#define _GLIBCXX_NO_OBSOLETE_ISINF_ISNAN_DYNAMIC __GLIBC_PREREQ(2,23)
# 534 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 2 3


# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/cpu_defines.h" 1 3
# 31 "/usr/include/x86_64-linux-gnu/c++/7/bits/cpu_defines.h" 3
#define _GLIBCXX_CPU_DEFINES 1
# 537 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 2 3




#define _GLIBCXX_PSEUDO_VISIBILITY(V) 






#define _GLIBCXX_WEAK_DEFINITION 







#define _GLIBCXX_USE_WEAK_REF __GXX_WEAK__
# 569 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_TXN_SAFE 
#define _GLIBCXX_TXN_SAFE_DYN 
# 588 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_FAST_MATH 0






#define __N(msgid) (msgid)


#undef min
#undef max





#define _GLIBCXX_USE_C99_MATH _GLIBCXX11_USE_C99_MATH


#define _GLIBCXX_USE_C99_COMPLEX _GLIBCXX11_USE_C99_COMPLEX


#define _GLIBCXX_USE_C99_STDIO _GLIBCXX11_USE_C99_STDIO


#define _GLIBCXX_USE_C99_STDLIB _GLIBCXX11_USE_C99_STDLIB


#define _GLIBCXX_USE_C99_WCHAR _GLIBCXX11_USE_C99_WCHAR
# 642 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE_ACOSF 1


#define _GLIBCXX_HAVE_ACOSL 1


#define _GLIBCXX_HAVE_ALIGNED_ALLOC 1


#define _GLIBCXX_HAVE_ASINF 1


#define _GLIBCXX_HAVE_ASINL 1


#define _GLIBCXX_HAVE_AS_SYMVER_DIRECTIVE 1


#define _GLIBCXX_HAVE_ATAN2F 1


#define _GLIBCXX_HAVE_ATAN2L 1


#define _GLIBCXX_HAVE_ATANF 1


#define _GLIBCXX_HAVE_ATANL 1


#define _GLIBCXX_HAVE_AT_QUICK_EXIT 1





#define _GLIBCXX_HAVE_CEILF 1


#define _GLIBCXX_HAVE_CEILL 1


#define _GLIBCXX_HAVE_COMPLEX_H 1


#define _GLIBCXX_HAVE_COSF 1


#define _GLIBCXX_HAVE_COSHF 1


#define _GLIBCXX_HAVE_COSHL 1


#define _GLIBCXX_HAVE_COSL 1


#define _GLIBCXX_HAVE_DIRENT_H 1


#define _GLIBCXX_HAVE_DLFCN_H 1


#define _GLIBCXX_HAVE_EBADMSG 1


#define _GLIBCXX_HAVE_ECANCELED 1


#define _GLIBCXX_HAVE_ECHILD 1


#define _GLIBCXX_HAVE_EIDRM 1


#define _GLIBCXX_HAVE_ENDIAN_H 1


#define _GLIBCXX_HAVE_ENODATA 1


#define _GLIBCXX_HAVE_ENOLINK 1


#define _GLIBCXX_HAVE_ENOSPC 1


#define _GLIBCXX_HAVE_ENOSR 1


#define _GLIBCXX_HAVE_ENOSTR 1


#define _GLIBCXX_HAVE_ENOTRECOVERABLE 1


#define _GLIBCXX_HAVE_ENOTSUP 1


#define _GLIBCXX_HAVE_EOVERFLOW 1


#define _GLIBCXX_HAVE_EOWNERDEAD 1


#define _GLIBCXX_HAVE_EPERM 1


#define _GLIBCXX_HAVE_EPROTO 1


#define _GLIBCXX_HAVE_ETIME 1


#define _GLIBCXX_HAVE_ETIMEDOUT 1


#define _GLIBCXX_HAVE_ETXTBSY 1


#define _GLIBCXX_HAVE_EWOULDBLOCK 1


#define _GLIBCXX_HAVE_EXCEPTION_PTR_SINCE_GCC46 1


#define _GLIBCXX_HAVE_EXECINFO_H 1


#define _GLIBCXX_HAVE_EXPF 1


#define _GLIBCXX_HAVE_EXPL 1


#define _GLIBCXX_HAVE_FABSF 1


#define _GLIBCXX_HAVE_FABSL 1


#define _GLIBCXX_HAVE_FCNTL_H 1


#define _GLIBCXX_HAVE_FENV_H 1


#define _GLIBCXX_HAVE_FINITE 1


#define _GLIBCXX_HAVE_FINITEF 1


#define _GLIBCXX_HAVE_FINITEL 1


#define _GLIBCXX_HAVE_FLOAT_H 1


#define _GLIBCXX_HAVE_FLOORF 1


#define _GLIBCXX_HAVE_FLOORL 1


#define _GLIBCXX_HAVE_FMODF 1


#define _GLIBCXX_HAVE_FMODL 1
# 819 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE_FREXPF 1


#define _GLIBCXX_HAVE_FREXPL 1


#define _GLIBCXX_HAVE_GETIPINFO 1


#define _GLIBCXX_HAVE_GETS 1


#define _GLIBCXX_HAVE_HYPOT 1


#define _GLIBCXX_HAVE_HYPOTF 1


#define _GLIBCXX_HAVE_HYPOTL 1


#define _GLIBCXX_HAVE_ICONV 1





#define _GLIBCXX_HAVE_INT64_T 1


#define _GLIBCXX_HAVE_INT64_T_LONG 1





#define _GLIBCXX_HAVE_INTTYPES_H 1





#define _GLIBCXX_HAVE_ISINFF 1


#define _GLIBCXX_HAVE_ISINFL 1





#define _GLIBCXX_HAVE_ISNANF 1


#define _GLIBCXX_HAVE_ISNANL 1


#define _GLIBCXX_HAVE_ISWBLANK 1


#define _GLIBCXX_HAVE_LC_MESSAGES 1


#define _GLIBCXX_HAVE_LDEXPF 1


#define _GLIBCXX_HAVE_LDEXPL 1


#define _GLIBCXX_HAVE_LIBINTL_H 1


#define _GLIBCXX_HAVE_LIMIT_AS 1


#define _GLIBCXX_HAVE_LIMIT_DATA 1


#define _GLIBCXX_HAVE_LIMIT_FSIZE 1


#define _GLIBCXX_HAVE_LIMIT_RSS 1


#define _GLIBCXX_HAVE_LIMIT_VMEM 0


#define _GLIBCXX_HAVE_LINUX_FUTEX 1


#define _GLIBCXX_HAVE_LOCALE_H 1


#define _GLIBCXX_HAVE_LOG10F 1


#define _GLIBCXX_HAVE_LOG10L 1


#define _GLIBCXX_HAVE_LOGF 1


#define _GLIBCXX_HAVE_LOGL 1
# 930 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE_MBSTATE_T 1


#define _GLIBCXX_HAVE_MEMALIGN 1


#define _GLIBCXX_HAVE_MEMORY_H 1


#define _GLIBCXX_HAVE_MODF 1


#define _GLIBCXX_HAVE_MODFF 1


#define _GLIBCXX_HAVE_MODFL 1
# 957 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE_POLL 1


#define _GLIBCXX_HAVE_POSIX_MEMALIGN 1


#define _GLIBCXX_HAVE_POWF 1


#define _GLIBCXX_HAVE_POWL 1





#define _GLIBCXX_HAVE_QUICK_EXIT 1


#define _GLIBCXX_HAVE_SETENV 1


#define _GLIBCXX_HAVE_SINCOS 1


#define _GLIBCXX_HAVE_SINCOSF 1


#define _GLIBCXX_HAVE_SINCOSL 1


#define _GLIBCXX_HAVE_SINF 1


#define _GLIBCXX_HAVE_SINHF 1


#define _GLIBCXX_HAVE_SINHL 1


#define _GLIBCXX_HAVE_SINL 1





#define _GLIBCXX_HAVE_SQRTF 1


#define _GLIBCXX_HAVE_SQRTL 1


#define _GLIBCXX_HAVE_STDALIGN_H 1


#define _GLIBCXX_HAVE_STDBOOL_H 1


#define _GLIBCXX_HAVE_STDINT_H 1


#define _GLIBCXX_HAVE_STDLIB_H 1


#define _GLIBCXX_HAVE_STRERROR_L 1


#define _GLIBCXX_HAVE_STRERROR_R 1


#define _GLIBCXX_HAVE_STRINGS_H 1


#define _GLIBCXX_HAVE_STRING_H 1


#define _GLIBCXX_HAVE_STRTOF 1


#define _GLIBCXX_HAVE_STRTOLD 1


#define _GLIBCXX_HAVE_STRUCT_DIRENT_D_TYPE 1


#define _GLIBCXX_HAVE_STRXFRM_L 1



#define _GLIBCXX_HAVE_SYMVER_SYMBOL_RENAMING_RUNTIME_SUPPORT 1





#define _GLIBCXX_HAVE_SYS_IOCTL_H 1


#define _GLIBCXX_HAVE_SYS_IPC_H 1
# 1063 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE_SYS_PARAM_H 1


#define _GLIBCXX_HAVE_SYS_RESOURCE_H 1


#define _GLIBCXX_HAVE_SYS_SDT_H 1


#define _GLIBCXX_HAVE_SYS_SEM_H 1


#define _GLIBCXX_HAVE_SYS_STATVFS_H 1


#define _GLIBCXX_HAVE_SYS_STAT_H 1


#define _GLIBCXX_HAVE_SYS_SYSINFO_H 1


#define _GLIBCXX_HAVE_SYS_TIME_H 1


#define _GLIBCXX_HAVE_SYS_TYPES_H 1


#define _GLIBCXX_HAVE_SYS_UIO_H 1





#define _GLIBCXX_HAVE_S_ISREG 1


#define _GLIBCXX_HAVE_TANF 1


#define _GLIBCXX_HAVE_TANHF 1


#define _GLIBCXX_HAVE_TANHL 1


#define _GLIBCXX_HAVE_TANL 1


#define _GLIBCXX_HAVE_TGMATH_H 1


#define _GLIBCXX_HAVE_TLS 1


#define _GLIBCXX_HAVE_UCHAR_H 1


#define _GLIBCXX_HAVE_UNISTD_H 1





#define _GLIBCXX_HAVE_UTIME_H 1


#define _GLIBCXX_HAVE_VFWSCANF 1


#define _GLIBCXX_HAVE_VSWSCANF 1


#define _GLIBCXX_HAVE_VWSCANF 1


#define _GLIBCXX_HAVE_WCHAR_H 1


#define _GLIBCXX_HAVE_WCSTOF 1


#define _GLIBCXX_HAVE_WCTYPE_H 1





#define _GLIBCXX_HAVE_WRITEV 1
# 1345 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_HAVE___CXA_THREAD_ATEXIT_IMPL 1


#define _GLIBCXX_ICONV_CONST 



#define LT_OBJDIR ".libs/"





#define _GLIBCXX_PACKAGE_BUGREPORT ""


#define _GLIBCXX_PACKAGE_NAME "package-unused"


#define _GLIBCXX_PACKAGE_STRING "package-unused version-unused"


#define _GLIBCXX_PACKAGE_TARNAME "libstdc++"


#define _GLIBCXX_PACKAGE_URL ""


#define _GLIBCXX_PACKAGE__GLIBCXX_VERSION "version-unused"
# 1391 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define STDC_HEADERS 1







#define _GLIBCXX11_USE_C99_COMPLEX 1



#define _GLIBCXX11_USE_C99_MATH 1



#define _GLIBCXX11_USE_C99_STDIO 1



#define _GLIBCXX11_USE_C99_STDLIB 1



#define _GLIBCXX11_USE_C99_WCHAR 1




#define _GLIBCXX98_USE_C99_COMPLEX 1



#define _GLIBCXX98_USE_C99_MATH 1



#define _GLIBCXX98_USE_C99_STDIO 1



#define _GLIBCXX98_USE_C99_STDLIB 1



#define _GLIBCXX98_USE_C99_WCHAR 1


#define _GLIBCXX_ATOMIC_BUILTINS 1






#define _GLIBCXX_FULLY_DYNAMIC_STRING 0


#define _GLIBCXX_HAS_GTHREADS 1


#define _GLIBCXX_HOSTED 1




#define _GLIBCXX_MANGLE_SIZE_T m
# 1466 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_RES_LIMITS 1





#define _GLIBCXX_STDIO_EOF -1


#define _GLIBCXX_STDIO_SEEK_CUR 1


#define _GLIBCXX_STDIO_SEEK_END 2


#define _GLIBCXX_SYMVER 1





#define _GLIBCXX_SYMVER_GNU 1
# 1497 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++config.h" 3
#define _GLIBCXX_USE_C11_UCHAR_CXX11 1



#define _GLIBCXX_USE_C99 1




#define _GLIBCXX_USE_C99_COMPLEX_TR1 1



#define _GLIBCXX_USE_C99_CTYPE_TR1 1



#define _GLIBCXX_USE_C99_FENV_TR1 1



#define _GLIBCXX_USE_C99_INTTYPES_TR1 1



#define _GLIBCXX_USE_C99_INTTYPES_WCHAR_T_TR1 1



#define _GLIBCXX_USE_C99_MATH_TR1 1



#define _GLIBCXX_USE_C99_STDINT_TR1 1






#define _GLIBCXX_USE_CLOCK_MONOTONIC 1


#define _GLIBCXX_USE_CLOCK_REALTIME 1



#define _GLIBCXX_USE_DECIMAL_FLOAT 1


#define _GLIBCXX_USE_FCHMOD 1


#define _GLIBCXX_USE_FCHMODAT 1


#define _GLIBCXX_USE_FLOAT128 1


#define _GLIBCXX_USE_GETTIMEOFDAY 1


#define _GLIBCXX_USE_GET_NPROCS 1


#define _GLIBCXX_USE_INT128 1


#define _GLIBCXX_USE_LFS 1


#define _GLIBCXX_USE_LONG_LONG 1


#define _GLIBCXX_USE_NANOSLEEP 1


#define _GLIBCXX_USE_NLS 1





#define _GLIBCXX_USE_PTHREAD_RWLOCK_T 1



#define _GLIBCXX_USE_RANDOM_TR1 1


#define _GLIBCXX_USE_REALPATH 1


#define _GLIBCXX_USE_SCHED_YIELD 1


#define _GLIBCXX_USE_SC_NPROCESSORS_ONLN 1





#define _GLIBCXX_USE_SENDFILE 1


#define _GLIBCXX_USE_ST_MTIM 1





#define _GLIBCXX_USE_TMPNAM 1



#define _GLIBCXX_USE_UTIMENSAT 1


#define _GLIBCXX_USE_WCHAR_T 1


#define _GLIBCXX_VERBOSE 1


#define _GLIBCXX_X86_RDRAND 1


#define _GTHREAD_USE_MUTEX_TIMEDLOCK 1
# 69 "/usr/include/c++/7/utility" 2 3
# 1 "/usr/include/c++/7/bits/stl_relops.h" 1 3
# 65 "/usr/include/c++/7/bits/stl_relops.h" 3
#define _STL_RELOPS_H 1

namespace std __attribute__ ((__visibility__ ("default")))
{
  namespace rel_ops
  {
 
# 85 "/usr/include/c++/7/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator!=(const _Tp& __x, const _Tp& __y)
      { return !(__x == __y); }
# 98 "/usr/include/c++/7/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator>(const _Tp& __x, const _Tp& __y)
      { return __y < __x; }
# 111 "/usr/include/c++/7/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator<=(const _Tp& __x, const _Tp& __y)
      { return !(__y < __x); }
# 124 "/usr/include/c++/7/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator>=(const _Tp& __x, const _Tp& __y)
      { return !(__x < __y); }

 
  }

}
# 70 "/usr/include/c++/7/utility" 2 3
# 1 "/usr/include/c++/7/bits/stl_pair.h" 1 3
# 57 "/usr/include/c++/7/bits/stl_pair.h" 3
#define _STL_PAIR_H 1

# 1 "/usr/include/c++/7/bits/move.h" 1 3
# 31 "/usr/include/c++/7/bits/move.h" 3
#define _MOVE_H 1


# 1 "/usr/include/c++/7/bits/concept_check.h" 1 3
# 31 "/usr/include/c++/7/bits/concept_check.h" 3
#define _CONCEPT_CHECK_H 1

       
# 34 "/usr/include/c++/7/bits/concept_check.h" 3
# 48 "/usr/include/c++/7/bits/concept_check.h" 3
#define __glibcxx_function_requires(...) 
#define __glibcxx_class_requires(_a,_b) 
#define __glibcxx_class_requires2(_a,_b,_c) 
#define __glibcxx_class_requires3(_a,_b,_c,_d) 
#define __glibcxx_class_requires4(_a,_b,_c,_d,_e) 
# 35 "/usr/include/c++/7/bits/move.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _Tp>
    inline constexpr _Tp*
    __addressof(_Tp& __r) noexcept
    { return __builtin_addressof(__r); }


}


# 1 "/usr/include/c++/7/type_traits" 1 3
# 30 "/usr/include/c++/7/type_traits" 3
#define _GLIBCXX_TYPE_TRAITS 1

       
# 33 "/usr/include/c++/7/type_traits" 3
# 42 "/usr/include/c++/7/type_traits" 3
namespace std
{
  typedef short unsigned int uint_least16_t;
  typedef unsigned int uint_least32_t;
}





namespace std __attribute__ ((__visibility__ ("default")))
{

# 68 "/usr/include/c++/7/type_traits" 3
  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp value = __v;
      typedef _Tp value_type;
      typedef integral_constant<_Tp, __v> type;
      constexpr operator value_type() const noexcept { return value; }


#define __cpp_lib_integral_constant_callable 201304

      constexpr value_type operator()() const noexcept { return value; }

    };

  template<typename _Tp, _Tp __v>
    constexpr _Tp integral_constant<_Tp, __v>::value;


  typedef integral_constant<bool, true> true_type;


  typedef integral_constant<bool, false> false_type;

  template<bool __v>
    using __bool_constant = integral_constant<bool, __v>;
# 103 "/usr/include/c++/7/type_traits" 3
  template<bool, typename, typename>
    struct conditional;

  template<typename...>
    struct __or_;

  template<>
    struct __or_<>
    : public false_type
    { };

  template<typename _B1>
    struct __or_<_B1>
    : public _B1
    { };

  template<typename _B1, typename _B2>
    struct __or_<_B1, _B2>
    : public conditional<_B1::value, _B1, _B2>::type
    { };

  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __or_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type
    { };

  template<typename...>
    struct __and_;

  template<>
    struct __and_<>
    : public true_type
    { };

  template<typename _B1>
    struct __and_<_B1>
    : public _B1
    { };

  template<typename _B1, typename _B2>
    struct __and_<_B1, _B2>
    : public conditional<_B1::value, _B2, _B1>::type
    { };

  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __and_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type
    { };

  template<typename _Pp>
    struct __not_
    : public __bool_constant<!bool(_Pp::value)>
    { };
# 192 "/usr/include/c++/7/type_traits" 3
  template<typename _Tp>
    struct __success_type
    { typedef _Tp type; };

  struct __failure_type
  { };



  template<typename>
    struct remove_cv;

  template<typename>
    struct __is_void_helper
    : public false_type { };

  template<>
    struct __is_void_helper<void>
    : public true_type { };


  template<typename _Tp>
    struct is_void
    : public __is_void_helper<typename remove_cv<_Tp>::type>::type
    { };

  template<typename>
    struct __is_integral_helper
    : public false_type { };

  template<>
    struct __is_integral_helper<bool>
    : public true_type { };

  template<>
    struct __is_integral_helper<char>
    : public true_type { };

  template<>
    struct __is_integral_helper<signed char>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned char>
    : public true_type { };


  template<>
    struct __is_integral_helper<wchar_t>
    : public true_type { };


  template<>
    struct __is_integral_helper<char16_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<char32_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<short>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned short>
    : public true_type { };

  template<>
    struct __is_integral_helper<int>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned int>
    : public true_type { };

  template<>
    struct __is_integral_helper<long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long>
    : public true_type { };

  template<>
    struct __is_integral_helper<long long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long long>
    : public true_type { };




  template<>
    struct __is_integral_helper<__int128>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned __int128>
    : public true_type { };
# 324 "/usr/include/c++/7/type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<typename remove_cv<_Tp>::type>::type
    { };

  template<typename>
    struct __is_floating_point_helper
    : public false_type { };

  template<>
    struct __is_floating_point_helper<float>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<double>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<long double>
    : public true_type { };


  template<>
    struct __is_floating_point_helper<__float128>
    : public true_type { };



  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<typename remove_cv<_Tp>::type>::type
    { };


  template<typename>
    struct is_array
    : public false_type { };

  template<typename _Tp, std::size_t _Size>
    struct is_array<_Tp[_Size]>
    : public true_type { };

  template<typename _Tp>
    struct is_array<_Tp[]>
    : public true_type { };

  template<typename>
    struct __is_pointer_helper
    : public false_type { };

  template<typename _Tp>
    struct __is_pointer_helper<_Tp*>
    : public true_type { };


  template<typename _Tp>
    struct is_pointer
    : public __is_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };


  template<typename>
    struct is_lvalue_reference
    : public false_type { };

  template<typename _Tp>
    struct is_lvalue_reference<_Tp&>
    : public true_type { };


  template<typename>
    struct is_rvalue_reference
    : public false_type { };

  template<typename _Tp>
    struct is_rvalue_reference<_Tp&&>
    : public true_type { };

  template<typename>
    struct is_function;

  template<typename>
    struct __is_member_object_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_object_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, !is_function<_Tp>::value> { };


  template<typename _Tp>
    struct is_member_object_pointer
    : public __is_member_object_pointer_helper<
    typename remove_cv<_Tp>::type>::type
    { };

  template<typename>
    struct __is_member_function_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_function_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, is_function<_Tp>::value> { };


  template<typename _Tp>
    struct is_member_function_pointer
    : public __is_member_function_pointer_helper<
    typename remove_cv<_Tp>::type>::type
    { };


  template<typename _Tp>
    struct is_enum
    : public integral_constant<bool, __is_enum(_Tp)>
    { };


  template<typename _Tp>
    struct is_union
    : public integral_constant<bool, __is_union(_Tp)>
    { };


  template<typename _Tp>
    struct is_class
    : public integral_constant<bool, __is_class(_Tp)>
    { };


  template<typename>
    struct is_function
    : public false_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) const >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) const & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) const && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) const >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) const & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) const && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) volatile >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) volatile & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) volatile && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) volatile >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) volatile & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) volatile && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) const volatile >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) const volatile & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes...) const volatile && >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) const volatile >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) const volatile & >
    : public true_type { };

  template<typename _Res, typename... _ArgTypes >
    struct is_function<_Res(_ArgTypes......) const volatile && >
    : public true_type { };

#define __cpp_lib_is_null_pointer 201309

  template<typename>
    struct __is_null_pointer_helper
    : public false_type { };

  template<>
    struct __is_null_pointer_helper<std::nullptr_t>
    : public true_type { };


  template<typename _Tp>
    struct is_null_pointer
    : public __is_null_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };


  template<typename _Tp>
    struct __is_nullptr_t
    : public is_null_pointer<_Tp>
    { };




  template<typename _Tp>
    struct is_reference
    : public __or_<is_lvalue_reference<_Tp>,
                   is_rvalue_reference<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_arithmetic
    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_fundamental
    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
     is_null_pointer<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_object
    : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>,
                          is_void<_Tp>>>::type
    { };

  template<typename>
    struct is_member_pointer;


  template<typename _Tp>
    struct is_scalar
    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
                   is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_compound
    : public integral_constant<bool, !is_fundamental<_Tp>::value> { };

  template<typename _Tp>
    struct __is_member_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_pointer_helper<_Tp _Cp::*>
    : public true_type { };


  template<typename _Tp>
    struct is_member_pointer
    : public __is_member_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };



  template<typename _Tp>
    struct __is_referenceable
    : public __or_<is_object<_Tp>, is_reference<_Tp>>::type
    { };

  template<typename _Res, typename... _Args >
    struct __is_referenceable<_Res(_Args...) >
    : public true_type
    { };

  template<typename _Res, typename... _Args >
    struct __is_referenceable<_Res(_Args......) >
    : public true_type
    { };




  template<typename>
    struct is_const
    : public false_type { };

  template<typename _Tp>
    struct is_const<_Tp const>
    : public true_type { };


  template<typename>
    struct is_volatile
    : public false_type { };

  template<typename _Tp>
    struct is_volatile<_Tp volatile>
    : public true_type { };


  template<typename _Tp>
    struct is_trivial
    : public integral_constant<bool, __is_trivial(_Tp)>
    { };


  template<typename _Tp>
    struct is_trivially_copyable
    : public integral_constant<bool, __is_trivially_copyable(_Tp)>
    { };


  template<typename _Tp>
    struct is_standard_layout
    : public integral_constant<bool, __is_standard_layout(_Tp)>
    { };



  template<typename _Tp>
    struct is_pod
    : public integral_constant<bool, __is_pod(_Tp)>
    { };


  template<typename _Tp>
    struct is_literal_type
    : public integral_constant<bool, __is_literal_type(_Tp)>
    { };


  template<typename _Tp>
    struct is_empty
    : public integral_constant<bool, __is_empty(_Tp)>
    { };


  template<typename _Tp>
    struct is_polymorphic
    : public integral_constant<bool, __is_polymorphic(_Tp)>
    { };


#define __cpp_lib_is_final 201402L

  template<typename _Tp>
    struct is_final
    : public integral_constant<bool, __is_final(_Tp)>
    { };



  template<typename _Tp>
    struct is_abstract
    : public integral_constant<bool, __is_abstract(_Tp)>
    { };

  template<typename _Tp,
    bool = is_arithmetic<_Tp>::value>
    struct __is_signed_helper
    : public false_type { };

  template<typename _Tp>
    struct __is_signed_helper<_Tp, true>
    : public integral_constant<bool, _Tp(-1) < _Tp(0)>
    { };


  template<typename _Tp>
    struct is_signed
    : public __is_signed_helper<_Tp>::type
    { };


  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
    { };




  template<typename>
    struct add_rvalue_reference;





  template<typename _Tp>
    typename add_rvalue_reference<_Tp>::type declval() noexcept;

  template<typename, unsigned = 0>
    struct extent;

  template<typename>
    struct remove_all_extents;

  template<typename _Tp>
    struct __is_array_known_bounds
    : public integral_constant<bool, (extent<_Tp>::value > 0)>
    { };

  template<typename _Tp>
    struct __is_array_unknown_bounds
    : public __and_<is_array<_Tp>, __not_<extent<_Tp>>>
    { };






  struct __do_is_destructible_impl
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_destructible_impl
    : public __do_is_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_destructible_safe;

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, false>
    : public __is_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, true>
    : public true_type { };


  template<typename _Tp>
    struct is_destructible
    : public __is_destructible_safe<_Tp>::type
    { };





  struct __do_is_nt_destructible_impl
  {
    template<typename _Tp>
      static integral_constant<bool, noexcept(declval<_Tp&>().~_Tp())>
        __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_nt_destructible_impl
    : public __do_is_nt_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_nt_destructible_safe;

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, false>
    : public __is_nt_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, true>
    : public true_type { };


  template<typename _Tp>
    struct is_nothrow_destructible
    : public __is_nt_destructible_safe<_Tp>::type
    { };

  struct __do_is_default_constructible_impl
  {
    template<typename _Tp, typename = decltype(_Tp())>
      static true_type __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_default_constructible_impl
    : public __do_is_default_constructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_default_constructible_atom
    : public __and_<__not_<is_void<_Tp>>,
                    __is_default_constructible_impl<_Tp>>
    { };

  template<typename _Tp, bool = is_array<_Tp>::value>
    struct __is_default_constructible_safe;






  template<typename _Tp>
    struct __is_default_constructible_safe<_Tp, true>
    : public __and_<__is_array_known_bounds<_Tp>,
      __is_default_constructible_atom<typename
                      remove_all_extents<_Tp>::type>>
    { };

  template<typename _Tp>
    struct __is_default_constructible_safe<_Tp, false>
    : public __is_default_constructible_atom<_Tp>::type
    { };


  template<typename _Tp>
    struct is_default_constructible
    : public __is_default_constructible_safe<_Tp>::type
    { };
# 936 "/usr/include/c++/7/type_traits" 3
  struct __do_is_static_castable_impl
  {
    template<typename _From, typename _To, typename
             = decltype(static_cast<_To>(declval<_From>()))>
      static true_type __test(int);

    template<typename, typename>
      static false_type __test(...);
  };

  template<typename _From, typename _To>
    struct __is_static_castable_impl
    : public __do_is_static_castable_impl
    {
      typedef decltype(__test<_From, _To>(0)) type;
    };

  template<typename _From, typename _To>
    struct __is_static_castable_safe
    : public __is_static_castable_impl<_From, _To>::type
    { };


  template<typename _From, typename _To>
    struct __is_static_castable
    : public integral_constant<bool, (__is_static_castable_safe<
          _From, _To>::value)>
    { };






  struct __do_is_direct_constructible_impl
  {
    template<typename _Tp, typename _Arg, typename
      = decltype(::new _Tp(declval<_Arg>()))>
      static true_type __test(int);

    template<typename, typename>
      static false_type __test(...);
  };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_impl
    : public __do_is_direct_constructible_impl
    {
      typedef decltype(__test<_Tp, _Arg>(0)) type;
    };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_new_safe
    : public __and_<is_destructible<_Tp>,
                    __is_direct_constructible_impl<_Tp, _Arg>>
    { };

  template<typename, typename>
    struct is_same;

  template<typename, typename>
    struct is_base_of;

  template<typename>
    struct remove_reference;

  template<typename _From, typename _To, bool
           = __not_<__or_<is_void<_From>,
                          is_function<_From>>>::value>
    struct __is_base_to_derived_ref;

  template<typename _Tp, typename... _Args>
    struct is_constructible;



  template<typename _From, typename _To>
    struct __is_base_to_derived_ref<_From, _To, true>
    {
      typedef typename remove_cv<typename remove_reference<_From
        >::type>::type __src_t;
      typedef typename remove_cv<typename remove_reference<_To
        >::type>::type __dst_t;
      typedef __and_<__not_<is_same<__src_t, __dst_t>>,
       is_base_of<__src_t, __dst_t>,
       __not_<is_constructible<__dst_t, _From>>> type;
      static constexpr bool value = type::value;
    };

  template<typename _From, typename _To>
    struct __is_base_to_derived_ref<_From, _To, false>
    : public false_type
    { };

  template<typename _From, typename _To, bool
           = __and_<is_lvalue_reference<_From>,
                    is_rvalue_reference<_To>>::value>
    struct __is_lvalue_to_rvalue_ref;



  template<typename _From, typename _To>
    struct __is_lvalue_to_rvalue_ref<_From, _To, true>
    {
      typedef typename remove_cv<typename remove_reference<
        _From>::type>::type __src_t;
      typedef typename remove_cv<typename remove_reference<
        _To>::type>::type __dst_t;
      typedef __and_<__not_<is_function<__src_t>>,
        __or_<is_same<__src_t, __dst_t>,
      is_base_of<__dst_t, __src_t>>> type;
      static constexpr bool value = type::value;
    };

  template<typename _From, typename _To>
    struct __is_lvalue_to_rvalue_ref<_From, _To, false>
    : public false_type
    { };







  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_ref_cast
    : public __and_<__is_static_castable<_Arg, _Tp>,
                    __not_<__or_<__is_base_to_derived_ref<_Arg, _Tp>,
                                 __is_lvalue_to_rvalue_ref<_Arg, _Tp>
                   >>>
    { };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_new
    : public conditional<is_reference<_Tp>::value,
    __is_direct_constructible_ref_cast<_Tp, _Arg>,
    __is_direct_constructible_new_safe<_Tp, _Arg>
    >::type
    { };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible
    : public __is_direct_constructible_new<_Tp, _Arg>::type
    { };






  struct __do_is_nary_constructible_impl
  {
    template<typename _Tp, typename... _Args, typename
             = decltype(_Tp(declval<_Args>()...))>
      static true_type __test(int);

    template<typename, typename...>
      static false_type __test(...);
  };

  template<typename _Tp, typename... _Args>
    struct __is_nary_constructible_impl
    : public __do_is_nary_constructible_impl
    {
      typedef decltype(__test<_Tp, _Args...>(0)) type;
    };

  template<typename _Tp, typename... _Args>
    struct __is_nary_constructible
    : public __is_nary_constructible_impl<_Tp, _Args...>::type
    {
      static_assert(sizeof...(_Args) > 1,
                    "Only useful for > 1 arguments");
    };

  template<typename _Tp, typename... _Args>
    struct __is_constructible_impl
    : public __is_nary_constructible<_Tp, _Args...>
    { };

  template<typename _Tp, typename _Arg>
    struct __is_constructible_impl<_Tp, _Arg>
    : public __is_direct_constructible<_Tp, _Arg>
    { };

  template<typename _Tp>
    struct __is_constructible_impl<_Tp>
    : public is_default_constructible<_Tp>
    { };


  template<typename _Tp, typename... _Args>
    struct is_constructible
    : public __is_constructible_impl<_Tp, _Args...>::type
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_constructible_impl;

  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, true>
    : public is_constructible<_Tp, const _Tp&>
    { };


  template<typename _Tp>
    struct is_copy_constructible
    : public __is_copy_constructible_impl<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_constructible_impl;

  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, true>
    : public is_constructible<_Tp, _Tp&&>
    { };


  template<typename _Tp>
    struct is_move_constructible
    : public __is_move_constructible_impl<_Tp>
    { };

  template<typename _Tp>
    struct __is_nt_default_constructible_atom
    : public integral_constant<bool, noexcept(_Tp())>
    { };

  template<typename _Tp, bool = is_array<_Tp>::value>
    struct __is_nt_default_constructible_impl;

  template<typename _Tp>
    struct __is_nt_default_constructible_impl<_Tp, true>
    : public __and_<__is_array_known_bounds<_Tp>,
      __is_nt_default_constructible_atom<typename
                      remove_all_extents<_Tp>::type>>
    { };

  template<typename _Tp>
    struct __is_nt_default_constructible_impl<_Tp, false>
    : public __is_nt_default_constructible_atom<_Tp>
    { };


  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __and_<is_default_constructible<_Tp>,
                    __is_nt_default_constructible_impl<_Tp>>
    { };

  template<typename _Tp, typename... _Args>
    struct __is_nt_constructible_impl
    : public integral_constant<bool, noexcept(_Tp(declval<_Args>()...))>
    { };

  template<typename _Tp, typename _Arg>
    struct __is_nt_constructible_impl<_Tp, _Arg>
    : public integral_constant<bool,
                               noexcept(static_cast<_Tp>(declval<_Arg>()))>
    { };

  template<typename _Tp>
    struct __is_nt_constructible_impl<_Tp>
    : public is_nothrow_default_constructible<_Tp>
    { };


  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __and_<is_constructible<_Tp, _Args...>,
      __is_nt_constructible_impl<_Tp, _Args...>>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_copy_constructible_impl;

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, true>
    : public is_nothrow_constructible<_Tp, const _Tp&>
    { };


  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_copy_constructible_impl<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_move_constructible_impl;

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, true>
    : public is_nothrow_constructible<_Tp, _Tp&&>
    { };


  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_move_constructible_impl<_Tp>
    { };

  template<typename _Tp, typename _Up>
    class __is_assignable_helper
    {
      template<typename _Tp1, typename _Up1,
        typename = decltype(declval<_Tp1>() = declval<_Up1>())>
 static true_type
 __test(int);

      template<typename, typename>
 static false_type
 __test(...);

    public:
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp, typename _Up>
    struct is_assignable
      : public __is_assignable_helper<_Tp, _Up>::type
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_assignable_impl;

  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, true>
    : public is_assignable<_Tp&, const _Tp&>
    { };


  template<typename _Tp>
    struct is_copy_assignable
    : public __is_copy_assignable_impl<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_assignable_impl;

  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, true>
    : public is_assignable<_Tp&, _Tp&&>
    { };


  template<typename _Tp>
    struct is_move_assignable
    : public __is_move_assignable_impl<_Tp>
    { };

  template<typename _Tp, typename _Up>
    struct __is_nt_assignable_impl
    : public integral_constant<bool, noexcept(declval<_Tp>() = declval<_Up>())>
    { };


  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __and_<is_assignable<_Tp, _Up>,
      __is_nt_assignable_impl<_Tp, _Up>>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_copy_assignable_impl;

  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, true>
    : public is_nothrow_assignable<_Tp&, const _Tp&>
    { };


  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nt_copy_assignable_impl<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_move_assignable_impl;

  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, true>
    : public is_nothrow_assignable<_Tp&, _Tp&&>
    { };


  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nt_move_assignable_impl<_Tp>
    { };


  template<typename _Tp, typename... _Args>
    struct is_trivially_constructible
    : public __and_<is_constructible<_Tp, _Args...>, integral_constant<bool,
   __is_trivially_constructible(_Tp, _Args...)>>
    { };


  template<typename _Tp>
    struct is_trivially_default_constructible
    : public is_trivially_constructible<_Tp>::type
    { };

  struct __do_is_implicitly_default_constructible_impl
  {
    template <typename _Tp>
    static void __helper(const _Tp&);

    template <typename _Tp>
    static true_type __test(const _Tp&,
                            decltype(__helper<const _Tp&>({}))* = 0);

    static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_impl
      : public __do_is_implicitly_default_constructible_impl
  {
    typedef decltype(__test(declval<_Tp>())) type;
  };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_safe
      : public __is_implicitly_default_constructible_impl<_Tp>::type
  { };

  template <typename _Tp>
    struct __is_implicitly_default_constructible
      : public __and_<is_default_constructible<_Tp>,
                      __is_implicitly_default_constructible_safe<_Tp>>
  { };


  template<typename _Tp>
    struct is_trivially_copy_constructible
    : public __and_<is_copy_constructible<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, const _Tp&)>>
    { };


  template<typename _Tp>
    struct is_trivially_move_constructible
    : public __and_<is_move_constructible<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, _Tp&&)>>
    { };


  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __and_<is_assignable<_Tp, _Up>,
      integral_constant<bool,
   __is_trivially_assignable(_Tp, _Up)>>
    { };


  template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __and_<is_copy_assignable<_Tp>,
      integral_constant<bool,
   __is_trivially_assignable(_Tp&, const _Tp&)>>
    { };


  template<typename _Tp>
    struct is_trivially_move_assignable
    : public __and_<is_move_assignable<_Tp>,
      integral_constant<bool,
   __is_trivially_assignable(_Tp&, _Tp&&)>>
    { };


  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<is_destructible<_Tp>, integral_constant<bool,
         __has_trivial_destructor(_Tp)>>
    { };



  template<typename _Tp>
    struct has_virtual_destructor
    : public integral_constant<bool, __has_virtual_destructor(_Tp)>
    { };





  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, __alignof__(_Tp)> { };


  template<typename>
    struct rank
    : public integral_constant<std::size_t, 0> { };

  template<typename _Tp, std::size_t _Size>
    struct rank<_Tp[_Size]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };

  template<typename _Tp>
    struct rank<_Tp[]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };


  template<typename, unsigned _Uint>
    struct extent
    : public integral_constant<std::size_t, 0> { };

  template<typename _Tp, unsigned _Uint, std::size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? _Size : extent<_Tp,
          _Uint - 1>::value>
    { };

  template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? 0 : extent<_Tp,
             _Uint - 1>::value>
    { };





  template<typename, typename>
    struct is_same
    : public false_type { };

  template<typename _Tp>
    struct is_same<_Tp, _Tp>
    : public true_type { };


  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };

  template<typename _From, typename _To,
           bool = __or_<is_void<_From>, is_function<_To>,
                        is_array<_To>>::value>
    struct __is_convertible_helper
    { typedef typename is_void<_To>::type type; };

  template<typename _From, typename _To>
    class __is_convertible_helper<_From, _To, false>
    {
       template<typename _To1>
 static void __test_aux(_To1);

      template<typename _From1, typename _To1,
        typename = decltype(__test_aux<_To1>(std::declval<_From1>()))>
 static true_type
 __test(int);

      template<typename, typename>
 static false_type
 __test(...);

    public:
      typedef decltype(__test<_From, _To>(0)) type;
    };



  template<typename _From, typename _To>
    struct is_convertible
    : public __is_convertible_helper<_From, _To>::type
    { };





  template<typename _Tp>
    struct remove_const
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_const<_Tp const>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_volatile
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_volatile<_Tp volatile>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_cv
    {
      typedef typename
      remove_const<typename remove_volatile<_Tp>::type>::type type;
    };


  template<typename _Tp>
    struct add_const
    { typedef _Tp const type; };


  template<typename _Tp>
    struct add_volatile
    { typedef _Tp volatile type; };


  template<typename _Tp>
    struct add_cv
    {
      typedef typename
      add_const<typename add_volatile<_Tp>::type>::type type;
    };



#define __cpp_lib_transformation_trait_aliases 201304


  template<typename _Tp>
    using remove_const_t = typename remove_const<_Tp>::type;


  template<typename _Tp>
    using remove_volatile_t = typename remove_volatile<_Tp>::type;


  template<typename _Tp>
    using remove_cv_t = typename remove_cv<_Tp>::type;


  template<typename _Tp>
    using add_const_t = typename add_const<_Tp>::type;


  template<typename _Tp>
    using add_volatile_t = typename add_volatile<_Tp>::type;


  template<typename _Tp>
    using add_cv_t = typename add_cv<_Tp>::type;





  template<typename _Tp>
    struct remove_reference
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_reference<_Tp&>
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_reference<_Tp&&>
    { typedef _Tp type; };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_lvalue_reference_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, true>
    { typedef _Tp& type; };


  template<typename _Tp>
    struct add_lvalue_reference
    : public __add_lvalue_reference_helper<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_rvalue_reference_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_rvalue_reference_helper<_Tp, true>
    { typedef _Tp&& type; };


  template<typename _Tp>
    struct add_rvalue_reference
    : public __add_rvalue_reference_helper<_Tp>
    { };



  template<typename _Tp>
    using remove_reference_t = typename remove_reference<_Tp>::type;


  template<typename _Tp>
    using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;


  template<typename _Tp>
    using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;





  template<typename _Unqualified, bool _IsConst, bool _IsVol>
    struct __cv_selector;

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, false>
    { typedef _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, true>
    { typedef volatile _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, false>
    { typedef const _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, true>
    { typedef const volatile _Unqualified __type; };

  template<typename _Qualified, typename _Unqualified,
    bool _IsConst = is_const<_Qualified>::value,
    bool _IsVol = is_volatile<_Qualified>::value>
    class __match_cv_qualifiers
    {
      typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match;

    public:
      typedef typename __match::__type __type;
    };


  template<typename _Tp>
    struct __make_unsigned
    { typedef _Tp __type; };

  template<>
    struct __make_unsigned<char>
    { typedef unsigned char __type; };

  template<>
    struct __make_unsigned<signed char>
    { typedef unsigned char __type; };

  template<>
    struct __make_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __make_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __make_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __make_unsigned<long long>
    { typedef unsigned long long __type; };


  template<>
    struct __make_unsigned<wchar_t> : __make_unsigned<int>
    { };



  template<>
    struct __make_unsigned<__int128>
    { typedef unsigned __int128 __type; };
# 1771 "/usr/include/c++/7/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;

  template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      typedef __make_unsigned<typename remove_cv<_Tp>::type> __unsignedt;
      typedef typename __unsignedt::__type __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

    public:
      typedef typename __cv_unsigned::__type __type;
    };

  template<typename _Tp>
    class __make_unsigned_selector<_Tp, false, true>
    {

      typedef unsigned char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(unsigned short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(unsigned int);
      static const bool __b3 = sizeof(_Tp) <= sizeof(unsigned long);
      typedef conditional<__b3, unsigned long, unsigned long long> __cond3;
      typedef typename __cond3::type __cond3_type;
      typedef conditional<__b2, unsigned int, __cond3_type> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, unsigned short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;

      typedef typename conditional<__b0, __smallest, __cond1_type>::type
 __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

    public:
      typedef typename __cv_unsigned::__type __type;
    };





  template<typename _Tp>
    struct make_unsigned
    { typedef typename __make_unsigned_selector<_Tp>::__type type; };


  template<>
    struct make_unsigned<bool>;



  template<typename _Tp>
    struct __make_signed
    { typedef _Tp __type; };

  template<>
    struct __make_signed<char>
    { typedef signed char __type; };

  template<>
    struct __make_signed<unsigned char>
    { typedef signed char __type; };

  template<>
    struct __make_signed<unsigned short>
    { typedef signed short __type; };

  template<>
    struct __make_signed<unsigned int>
    { typedef signed int __type; };

  template<>
    struct __make_signed<unsigned long>
    { typedef signed long __type; };

  template<>
    struct __make_signed<unsigned long long>
    { typedef signed long long __type; };
# 1860 "/usr/include/c++/7/type_traits" 3
  template<>
    struct __make_signed<char16_t> : __make_signed<uint_least16_t>
    { };
  template<>
    struct __make_signed<char32_t> : __make_signed<uint_least32_t>
    { };



  template<>
    struct __make_signed<unsigned __int128>
    { typedef __int128 __type; };
# 1890 "/usr/include/c++/7/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_signed_selector;

  template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      typedef __make_signed<typename remove_cv<_Tp>::type> __signedt;
      typedef typename __signedt::__type __signed_type;
      typedef __match_cv_qualifiers<_Tp, __signed_type> __cv_signed;

    public:
      typedef typename __cv_signed::__type __type;
    };

  template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {
      typedef typename __make_unsigned_selector<_Tp>::__type __unsigned_type;

    public:
      typedef typename __make_signed_selector<__unsigned_type>::__type __type;
    };





  template<typename _Tp>
    struct make_signed
    { typedef typename __make_signed_selector<_Tp>::__type type; };


  template<>
    struct make_signed<bool>;



  template<typename _Tp>
    using make_signed_t = typename make_signed<_Tp>::type;


  template<typename _Tp>
    using make_unsigned_t = typename make_unsigned<_Tp>::type;





  template<typename _Tp>
    struct remove_extent
    { typedef _Tp type; };

  template<typename _Tp, std::size_t _Size>
    struct remove_extent<_Tp[_Size]>
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_extent<_Tp[]>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_all_extents
    { typedef _Tp type; };

  template<typename _Tp, std::size_t _Size>
    struct remove_all_extents<_Tp[_Size]>
    { typedef typename remove_all_extents<_Tp>::type type; };

  template<typename _Tp>
    struct remove_all_extents<_Tp[]>
    { typedef typename remove_all_extents<_Tp>::type type; };



  template<typename _Tp>
    using remove_extent_t = typename remove_extent<_Tp>::type;


  template<typename _Tp>
    using remove_all_extents_t = typename remove_all_extents<_Tp>::type;




  template<typename _Tp, typename>
    struct __remove_pointer_helper
    { typedef _Tp type; };

  template<typename _Tp, typename _Up>
    struct __remove_pointer_helper<_Tp, _Up*>
    { typedef _Up type; };


  template<typename _Tp>
    struct remove_pointer
    : public __remove_pointer_helper<_Tp, typename remove_cv<_Tp>::type>
    { };


  template<typename _Tp, bool = __or_<__is_referenceable<_Tp>,
          is_void<_Tp>>::value>
    struct __add_pointer_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_pointer_helper<_Tp, true>
    { typedef typename remove_reference<_Tp>::type* type; };

  template<typename _Tp>
    struct add_pointer
    : public __add_pointer_helper<_Tp>
    { };



  template<typename _Tp>
    using remove_pointer_t = typename remove_pointer<_Tp>::type;


  template<typename _Tp>
    using add_pointer_t = typename add_pointer<_Tp>::type;


  template<std::size_t _Len>
    struct __aligned_storage_msa
    {
      union __type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__)) { } __align;
      };
    };
# 2036 "/usr/include/c++/7/type_traits" 3
  template<std::size_t _Len, std::size_t _Align =
    __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    struct aligned_storage
    {
      union type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__((_Align)))) { } __align;
      };
    };

  template <typename... _Types>
    struct __strictest_alignment
    {
      static const size_t _S_alignment = 0;
      static const size_t _S_size = 0;
    };

  template <typename _Tp, typename... _Types>
    struct __strictest_alignment<_Tp, _Types...>
    {
      static const size_t _S_alignment =
        alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
 ? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
      static const size_t _S_size =
        sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
 ? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
    };
# 2075 "/usr/include/c++/7/type_traits" 3
  template <size_t _Len, typename... _Types>
    struct aligned_union
    {
    private:
      static_assert(sizeof...(_Types) != 0, "At least one type is required");

      using __strictest = __strictest_alignment<_Types...>;
      static const size_t _S_len = _Len > __strictest::_S_size
 ? _Len : __strictest::_S_size;
    public:

      static const size_t alignment_value = __strictest::_S_alignment;

      typedef typename aligned_storage<_S_len, alignment_value>::type type;
    };

  template <size_t _Len, typename... _Types>
    const size_t aligned_union<_Len, _Types...>::alignment_value;



  template<typename _Up,
    bool _IsArray = is_array<_Up>::value,
    bool _IsFunction = is_function<_Up>::value>
    struct __decay_selector;


  template<typename _Up>
    struct __decay_selector<_Up, false, false>
    { typedef typename remove_cv<_Up>::type __type; };

  template<typename _Up>
    struct __decay_selector<_Up, true, false>
    { typedef typename remove_extent<_Up>::type* __type; };

  template<typename _Up>
    struct __decay_selector<_Up, false, true>
    { typedef typename add_pointer<_Up>::type __type; };


  template<typename _Tp>
    class decay
    {
      typedef typename remove_reference<_Tp>::type __remove_type;

    public:
      typedef typename __decay_selector<__remove_type>::__type type;
    };

  template<typename _Tp>
    class reference_wrapper;


  template<typename _Tp>
    struct __strip_reference_wrapper
    {
      typedef _Tp __type;
    };

  template<typename _Tp>
    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
    {
      typedef _Tp& __type;
    };

  template<typename _Tp>
    struct __decay_and_strip
    {
      typedef typename __strip_reference_wrapper<
 typename decay<_Tp>::type>::__type __type;
    };




  template<bool, typename _Tp = void>
    struct enable_if
    { };


  template<typename _Tp>
    struct enable_if<true, _Tp>
    { typedef _Tp type; };

  template<typename... _Cond>
    using _Require = typename enable_if<__and_<_Cond...>::value>::type;



  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct conditional
    { typedef _Iftrue type; };


  template<typename _Iftrue, typename _Iffalse>
    struct conditional<false, _Iftrue, _Iffalse>
    { typedef _Iffalse type; };


  template<typename... _Tp>
    struct common_type;



  struct __do_common_type_impl
  {
    template<typename _Tp, typename _Up>
      static __success_type<typename decay<decltype
       (true ? std::declval<_Tp>()
        : std::declval<_Up>())>::type> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _Tp, typename _Up>
    struct __common_type_impl
    : private __do_common_type_impl
    {
      typedef decltype(_S_test<_Tp, _Up>(0)) type;
    };

  struct __do_member_type_wrapper
  {
    template<typename _Tp>
      static __success_type<typename _Tp::type> _S_test(int);

    template<typename>
      static __failure_type _S_test(...);
  };

  template<typename _Tp>
    struct __member_type_wrapper
    : private __do_member_type_wrapper
    {
      typedef decltype(_S_test<_Tp>(0)) type;
    };

  template<typename _CTp, typename... _Args>
    struct __expanded_common_type_wrapper
    {
      typedef common_type<typename _CTp::type, _Args...> type;
    };

  template<typename... _Args>
    struct __expanded_common_type_wrapper<__failure_type, _Args...>
    { typedef __failure_type type; };

  template<typename _Tp>
    struct common_type<_Tp>
    { typedef typename decay<_Tp>::type type; };

  template<typename _Tp, typename _Up>
    struct common_type<_Tp, _Up>
    : public __common_type_impl<_Tp, _Up>::type
    { };

  template<typename _Tp, typename _Up, typename... _Vp>
    struct common_type<_Tp, _Up, _Vp...>
    : public __expanded_common_type_wrapper<typename __member_type_wrapper<
               common_type<_Tp, _Up>>::type, _Vp...>::type
    { };


  template<typename _Tp>
    struct underlying_type
    {
      typedef __underlying_type(_Tp) type;
    };

  template<typename _Tp>
    struct __declval_protector
    {
      static const bool __stop = false;
      static typename add_rvalue_reference<_Tp>::type __delegate();
    };

  template<typename _Tp>
    inline typename add_rvalue_reference<_Tp>::type
    declval() noexcept
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval_protector<_Tp>::__delegate();
    }


  template<typename _Signature>
    class result_of;



#define __cpp_lib_result_of_sfinae 201210

  struct __invoke_memfun_ref { };
  struct __invoke_memfun_deref { };
  struct __invoke_memobj_ref { };
  struct __invoke_memobj_deref { };
  struct __invoke_other { };


  template<typename _Tp, typename _Tag>
    struct __result_of_success : __success_type<_Tp>
    { using __invoke_type = _Tag; };


  struct __result_of_memfun_ref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_ref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_ref
    : private __result_of_memfun_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };


  struct __result_of_memfun_deref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_deref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_deref
    : private __result_of_memfun_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };


  struct __result_of_memobj_ref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      std::declval<_Tp1>().*std::declval<_Fp>()
      ), __invoke_memobj_ref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_ref
    : private __result_of_memobj_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };


  struct __result_of_memobj_deref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      (*std::declval<_Tp1>()).*std::declval<_Fp>()
      ), __invoke_memobj_deref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_deref
    : private __result_of_memobj_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

  template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      typedef typename remove_cv<typename remove_reference<
        _Arg>::type>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memobj_ref<_MemPtr, _Arg>,
        __result_of_memobj_deref<_MemPtr, _Arg>
      >::type::type type;
    };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun;

  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
    struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
    {
      typedef typename remove_cv<typename remove_reference<
        _Arg>::type>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
      >::type::type type;
    };






  template<typename _Tp, typename _Up = typename decay<_Tp>::type>
    struct __inv_unwrap
    {
      using type = _Tp;
    };

  template<typename _Tp, typename _Up>
    struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
    {
      using type = _Up&;
    };

  template<bool, bool, typename _Functor, typename... _ArgTypes>
    struct __result_of_impl
    {
      typedef __failure_type type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_impl<true, false, _MemPtr, _Arg>
    : public __result_of_memobj<typename decay<_MemPtr>::type,
    typename __inv_unwrap<_Arg>::type>
    { };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
    : public __result_of_memfun<typename decay<_MemPtr>::type,
    typename __inv_unwrap<_Arg>::type, _Args...>
    { };


  struct __result_of_other_impl
  {
    template<typename _Fn, typename... _Args>
      static __result_of_success<decltype(
      std::declval<_Fn>()(std::declval<_Args>()...)
      ), __invoke_other> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _Functor, typename... _ArgTypes>
    struct __result_of_impl<false, false, _Functor, _ArgTypes...>
    : private __result_of_other_impl
    {
      typedef decltype(_S_test<_Functor, _ArgTypes...>(0)) type;
    };


  template<typename _Functor, typename... _ArgTypes>
    struct __invoke_result
    : public __result_of_impl<
        is_member_object_pointer<
          typename remove_reference<_Functor>::type
        >::value,
        is_member_function_pointer<
          typename remove_reference<_Functor>::type
        >::value,
 _Functor, _ArgTypes...
      >::type
    { };

  template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : public __invoke_result<_Functor, _ArgTypes...>
    { };



  template<size_t _Len, size_t _Align =
     __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;

  template <size_t _Len, typename... _Types>
    using aligned_union_t = typename aligned_union<_Len, _Types...>::type;


  template<typename _Tp>
    using decay_t = typename decay<_Tp>::type;


  template<bool _Cond, typename _Tp = void>
    using enable_if_t = typename enable_if<_Cond, _Tp>::type;


  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;


  template<typename... _Tp>
    using common_type_t = typename common_type<_Tp...>::type;


  template<typename _Tp>
    using underlying_type_t = typename underlying_type<_Tp>::type;


  template<typename _Tp>
    using result_of_t = typename result_of<_Tp>::type;


  template<typename...> using __void_t = void;


#define __cpp_lib_void_t 201411

  template<typename...> using void_t = void;



  template<typename _Default, typename _AlwaysVoid,
    template<typename...> class _Op, typename... _Args>
    struct __detector
    {
      using value_t = false_type;
      using type = _Default;
    };


  template<typename _Default, template<typename...> class _Op,
     typename... _Args>
    struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
    {
      using value_t = true_type;
      using type = _Op<_Args...>;
    };


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or = __detector<_Default, void, _Op, _Args...>;


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;







#define _GLIBCXX_HAS_NESTED_TYPE(_NTYPE) template<typename _Tp, typename = __void_t<>> struct __has_ ##_NTYPE : false_type { }; template<typename _Tp> struct __has_ ##_NTYPE<_Tp, __void_t<typename _Tp::_NTYPE>> : true_type { };
# 2548 "/usr/include/c++/7/type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename... _Elements>
    class tuple;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };

  template<typename... _Tps>
    struct __is_tuple_like_impl<tuple<_Tps...>> : true_type
    { };


  template<typename _Tp>
    struct __is_tuple_like
    : public __is_tuple_like_impl<typename remove_cv<
      typename remove_reference<_Tp>::type>::type>::type
    { };

  template<typename _Tp>
    inline
    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
         is_move_constructible<_Tp>,
         is_move_assignable<_Tp>>::value>::type
    swap(_Tp&, _Tp&)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value);

  template<typename _Tp, size_t _Nm>
    inline
    typename enable_if<__is_swappable<_Tp>::value>::type
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value);

  namespace __swappable_details {
    using std::swap;

    struct __do_is_swappable_impl
    {
      template<typename _Tp, typename
               = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
        static true_type __test(int);

      template<typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_impl
    {
      template<typename _Tp>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
        > __test(int);

      template<typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp>
    struct __is_swappable_impl
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_nothrow_swappable_impl
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };

  template<typename _Tp>
    struct __is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };


#define __cpp_lib_is_swappable 201603



  template<typename _Tp>
    struct is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };


  template<typename _Tp>
    struct is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };



  template<typename _Tp>
    constexpr bool is_swappable_v =
      is_swappable<_Tp>::value;


  template<typename _Tp>
    constexpr bool is_nothrow_swappable_v =
      is_nothrow_swappable<_Tp>::value;


  namespace __swappable_with_details {
    using std::swap;

    struct __do_is_swappable_with_impl
    {
      template<typename _Tp, typename _Up, typename
               = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
               typename
               = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
        static true_type __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_with_impl
    {
      template<typename _Tp, typename _Up>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
          &&
          noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
        > __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp, typename _Up>
    struct __is_swappable_with_impl
    : public __swappable_with_details::__do_is_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp>
    struct __is_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };

  template<typename _Tp, typename _Up>
    struct __is_nothrow_swappable_with_impl
    : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp>
    struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };


  template<typename _Tp, typename _Up>
    struct is_swappable_with
    : public __is_swappable_with_impl<_Tp, _Up>::type
    { };


  template<typename _Tp, typename _Up>
    struct is_nothrow_swappable_with
    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
    { };



  template<typename _Tp, typename _Up>
    constexpr bool is_swappable_with_v =
      is_swappable_with<_Tp, _Up>::value;


  template<typename _Tp, typename _Up>
    constexpr bool is_nothrow_swappable_with_v =
      is_nothrow_swappable_with<_Tp, _Up>::value;






  template<typename _Result, typename _Ret, typename = void>
    struct __is_invocable_impl : false_type { };

  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret, __void_t<typename _Result::type>>
    : __or_<is_void<_Ret>, is_convertible<typename _Result::type, _Ret>>::type
    { };

  template<typename _Fn, typename... _ArgTypes>
    struct __is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_deref)
    {
      return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept(std::declval<_Up>().*std::declval<_Fn>());
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_deref)
    {
      return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
    }

  template<typename _Fn, typename... _Args>
    constexpr bool __call_is_nt(__invoke_other)
    {
      return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
    }

  template<typename _Result, typename _Fn, typename... _Args>
    struct __call_is_nothrow
    : __bool_constant<
 std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
      >
    { };

  template<typename _Fn, typename... _Args>
    using __call_is_nothrow_
      = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;


  template<typename _Fn, typename... _Args>
    struct __is_nothrow_invocable
    : __and_<__is_invocable<_Fn, _Args...>,
             __call_is_nothrow_<_Fn, _Args...>>::type
    { };

  struct __nonesuch {
    __nonesuch() = delete;
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };
# 3103 "/usr/include/c++/7/type_traits" 3

}
# 55 "/usr/include/c++/7/bits/move.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 71 "/usr/include/c++/7/bits/move.h" 3
  template<typename _Tp>
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }







  template<typename _Tp>
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type&& __t) noexcept
    {
      static_assert(!std::is_lvalue_reference<_Tp>::value, "template argument"
      " substituting _Tp is an lvalue reference type");
      return static_cast<_Tp&&>(__t);
    }






  template<typename _Tp>
    constexpr typename std::remove_reference<_Tp>::type&&
    move(_Tp&& __t) noexcept
    { return static_cast<typename std::remove_reference<_Tp>::type&&>(__t); }


  template<typename _Tp>
    struct __move_if_noexcept_cond
    : public __and_<__not_<is_nothrow_move_constructible<_Tp>>,
                    is_copy_constructible<_Tp>>::type { };
# 115 "/usr/include/c++/7/bits/move.h" 3
  template<typename _Tp>
    constexpr typename
    conditional<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>::type
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 135 "/usr/include/c++/7/bits/move.h" 3
  template<typename _Tp>
    inline _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



  template<typename _Tp>
    const _Tp* addressof(const _Tp&&) = delete;


  template <typename _Tp, typename _Up = _Tp>
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }



}

#define _GLIBCXX_MOVE(__val) std::move(__val)
#define _GLIBCXX_FORWARD(_Tp,__val) std::forward<_Tp>(__val)





namespace std __attribute__ ((__visibility__ ("default")))
{

# 181 "/usr/include/c++/7/bits/move.h" 3
  template<typename _Tp>
    inline

    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
         is_move_constructible<_Tp>,
         is_move_assignable<_Tp>>::value>::type
    swap(_Tp& __a, _Tp& __b)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value)




    {

     

      _Tp __tmp = std::move(__a);
      __a = std::move(__b);
      __b = std::move(__tmp);
    }




  template<typename _Tp, size_t _Nm>
    inline

    typename enable_if<__is_swappable<_Tp>::value>::type
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value)




    {
      for (size_t __n = 0; __n < _Nm; ++__n)
 swap(__a[__n], __b[__n]);
    }



}
# 60 "/usr/include/c++/7/bits/stl_pair.h" 2 3





namespace std __attribute__ ((__visibility__ ("default")))
{

# 76 "/usr/include/c++/7/bits/stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();


  template<typename...>
    class tuple;

  template<std::size_t...>
    struct _Index_tuple;






  template <bool, typename _T1, typename _T2>
    struct _PCC
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, const _U2&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return __and_<is_convertible<const _U1&, _T1>,
        is_convertible<const _U2&, _T2>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, _U2&&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return __and_<is_convertible<_U1&&, _T1>,
        is_convertible<_U2&&, _T2>>::value;
      }

      template <bool __implicit, typename _U1, typename _U2>
      static constexpr bool _CopyMovePair()
      {
 using __do_converts = __and_<is_convertible<const _U1&, _T1>,
      is_convertible<_U2&&, _T2>>;
 using __converts = typename conditional<__implicit,
           __do_converts,
           __not_<__do_converts>>::type;
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, _U2&&>,
        __converts
        >::value;
      }

      template <bool __implicit, typename _U1, typename _U2>
      static constexpr bool _MoveCopyPair()
      {
 using __do_converts = __and_<is_convertible<_U1&&, _T1>,
      is_convertible<const _U2&, _T2>>;
 using __converts = typename conditional<__implicit,
           __do_converts,
           __not_<__do_converts>>::type;
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, const _U2&&>,
        __converts
        >::value;
      }
  };

  template <typename _T1, typename _T2>
    struct _PCC<false, _T1, _T2>
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return false;
      }
  };




  struct __nonesuch_no_braces : std::__nonesuch {
    explicit __nonesuch_no_braces(const __nonesuch&) = delete;
  };
# 197 "/usr/include/c++/7/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct pair
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;






      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                                     __is_implicitly_default_constructible<_U1>,
                                     __is_implicitly_default_constructible<_U2>>
                                   ::value, bool>::type = true>

      constexpr pair()
      : first(), second() { }


      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                       is_default_constructible<_U1>,
                       is_default_constructible<_U2>,
                       __not_<
                         __and_<__is_implicitly_default_constructible<_U1>,
                                __is_implicitly_default_constructible<_U2>>>>
                                   ::value, bool>::type = false>
      explicit constexpr pair()
      : first(), second() { }
# 241 "/usr/include/c++/7/bits/stl_pair.h" 3
      using _PCCP = _PCC<true, _T1, _T2>;

      template<typename _U1 = _T1, typename _U2=_T2, typename
        enable_if<_PCCP::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCP::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
      constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }

       template<typename _U1 = _T1, typename _U2=_T2, typename
  enable_if<_PCCP::template
       _ConstructiblePair<_U1, _U2>()
                   && !_PCCP::template
       _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
      explicit constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }
# 269 "/usr/include/c++/7/bits/stl_pair.h" 3
      template <typename _U1, typename _U2>
        using _PCCFP = _PCC<!is_same<_T1, _U1>::value
       || !is_same<_T2, _U2>::value,
       _T1, _T2>;

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
     bool>::type=true>
        constexpr pair(const pair<_U1, _U2>& __p)
        : first(__p.first), second(__p.second) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
    && !_PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second) { }

      constexpr pair(const pair&) = default;
      constexpr pair(pair&&) = default;


      template<typename _U1, typename
        enable_if<_PCCP::template
      _MoveCopyPair<true, _U1, _T2>(),
                         bool>::type=true>
       constexpr pair(_U1&& __x, const _T2& __y)
       : first(std::forward<_U1>(__x)), second(__y) { }

      template<typename _U1, typename
        enable_if<_PCCP::template
      _MoveCopyPair<false, _U1, _T2>(),
                         bool>::type=false>
       explicit constexpr pair(_U1&& __x, const _T2& __y)
       : first(std::forward<_U1>(__x)), second(__y) { }

      template<typename _U2, typename
        enable_if<_PCCP::template
      _CopyMovePair<true, _T1, _U2>(),
                         bool>::type=true>
       constexpr pair(const _T1& __x, _U2&& __y)
       : first(__x), second(std::forward<_U2>(__y)) { }

      template<typename _U2, typename
        enable_if<_PCCP::template
      _CopyMovePair<false, _T1, _U2>(),
                         bool>::type=false>
       explicit pair(const _T1& __x, _U2&& __y)
       : first(__x), second(std::forward<_U2>(__y)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }


      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }

      template<typename... _Args1, typename... _Args2>
        pair(piecewise_construct_t, tuple<_Args1...>, tuple<_Args2...>);

      pair&
      operator=(typename conditional<
  __and_<is_copy_assignable<_T1>,
         is_copy_assignable<_T2>>::value,
  const pair&, const __nonesuch_no_braces&>::type __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

      pair&
      operator=(typename conditional<
  __not_<__and_<is_copy_assignable<_T1>,
                is_copy_assignable<_T2>>>::value,
  const pair&, const __nonesuch_no_braces&>::type __p) = delete;

      pair&
      operator=(typename conditional<
  __and_<is_move_assignable<_T1>,
         is_move_assignable<_T2>>::value,
  pair&&, __nonesuch_no_braces&&>::type __p)
      noexcept(__and_<is_nothrow_move_assignable<_T1>,
               is_nothrow_move_assignable<_T2>>::value)
      {
 first = std::forward<first_type>(__p.first);
 second = std::forward<second_type>(__p.second);
 return *this;
      }

      template<typename _U1, typename _U2>
      typename enable_if<__and_<is_assignable<_T1&, const _U1&>,
    is_assignable<_T2&, const _U2&>>::value,
    pair&>::type
 operator=(const pair<_U1, _U2>& __p)
 {
   first = __p.first;
   second = __p.second;
   return *this;
 }

      template<typename _U1, typename _U2>
      typename enable_if<__and_<is_assignable<_T1&, _U1&&>,
    is_assignable<_T2&, _U2&&>>::value,
    pair&>::type
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }

      void
      swap(pair& __p)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
                      __is_nothrow_swappable<_T2>>::value)
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }

    private:
      template<typename... _Args1, std::size_t... _Indexes1,
               typename... _Args2, std::size_t... _Indexes2>
        pair(tuple<_Args1...>&, tuple<_Args2...>&,
             _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);

    };






  template<typename _T1, typename _T2>
    inline constexpr bool
    operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first == __y.first && __x.second == __y.second; }


  template<typename _T1, typename _T2>
    inline constexpr 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<typename _T1, typename _T2>
    inline constexpr bool
    operator!=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x == __y); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __y < __x; }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator<=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__y < __x); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }





  template<typename _T1, typename _T2>
    inline


    typename enable_if<__and_<__is_swappable<_T1>,
                              __is_swappable<_T2>>::value>::type



    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }


  template<typename _T1, typename _T2>
    typename enable_if<!__and_<__is_swappable<_T1>,
          __is_swappable<_T2>>::value>::type
    swap(pair<_T1, _T2>&, pair<_T1, _T2>&) = delete;
# 516 "/usr/include/c++/7/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    constexpr pair<typename __decay_and_strip<_T1>::__type,
                   typename __decay_and_strip<_T2>::__type>
    make_pair(_T1&& __x, _T2&& __y)
    {
      typedef typename __decay_and_strip<_T1>::__type __ds_type1;
      typedef typename __decay_and_strip<_T2>::__type __ds_type2;
      typedef pair<__ds_type1, __ds_type2> __pair_type;
      return __pair_type(std::forward<_T1>(__x), std::forward<_T2>(__y));
    }
# 535 "/usr/include/c++/7/bits/stl_pair.h" 3

}
# 71 "/usr/include/c++/7/utility" 2 3





# 1 "/usr/include/c++/7/initializer_list" 1 3
# 31 "/usr/include/c++/7/initializer_list" 3
#define _INITIALIZER_LIST 

       
# 34 "/usr/include/c++/7/initializer_list" 3





#pragma GCC visibility push(default)



namespace std
{

  template<class _E>
    class initializer_list
    {
    public:
      typedef _E value_type;
      typedef const _E& reference;
      typedef const _E& const_reference;
      typedef size_t size_type;
      typedef const _E* iterator;
      typedef const _E* const_iterator;

    private:
      iterator _M_array;
      size_type _M_len;


      constexpr initializer_list(const_iterator __a, size_type __l)
      : _M_array(__a), _M_len(__l) { }

    public:
      constexpr initializer_list() noexcept
      : _M_array(0), _M_len(0) { }


      constexpr size_type
      size() const noexcept { return _M_len; }


      constexpr const_iterator
      begin() const noexcept { return _M_array; }


      constexpr const_iterator
      end() const noexcept { return begin() + size(); }
    };






  template<class _Tp>
    constexpr const _Tp*
    begin(initializer_list<_Tp> __ils) noexcept
    { return __ils.begin(); }






  template<class _Tp>
    constexpr const _Tp*
    end(initializer_list<_Tp> __ils) noexcept
    { return __ils.end(); }
}

#pragma GCC visibility pop
# 77 "/usr/include/c++/7/utility" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{



  template<typename _Tp>
    struct tuple_size;





  template<typename _Tp, typename = void>
    struct __tuple_size_cv_impl { };

  template<typename _Tp>
    struct __tuple_size_cv_impl<_Tp, __void_t<decltype(tuple_size<_Tp>::value)>>
    : integral_constant<size_t, tuple_size<_Tp>::value> { };



  template<typename _Tp>
    struct tuple_size<const _Tp> : __tuple_size_cv_impl<_Tp> { };

  template<typename _Tp>
    struct tuple_size<volatile _Tp> : __tuple_size_cv_impl<_Tp> { };

  template<typename _Tp>
    struct tuple_size<const volatile _Tp> : __tuple_size_cv_impl<_Tp> { };
# 128 "/usr/include/c++/7/utility" 3
  template<std::size_t __i, typename _Tp>
    struct tuple_element;


  template<std::size_t __i, typename _Tp>
    using __tuple_element_t = typename tuple_element<__i, _Tp>::type;

  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, const _Tp>
    {
      typedef typename add_const<__tuple_element_t<__i, _Tp>>::type type;
    };

  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, volatile _Tp>
    {
      typedef typename add_volatile<__tuple_element_t<__i, _Tp>>::type type;
    };

  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, const volatile _Tp>
    {
      typedef typename add_cv<__tuple_element_t<__i, _Tp>>::type type;
    };


#define __cpp_lib_tuple_element_t 201402

  template<std::size_t __i, typename _Tp>
    using tuple_element_t = typename tuple_element<__i, _Tp>::type;





  template<typename _T1, typename _T2>
    struct __is_tuple_like_impl<std::pair<_T1, _T2>> : true_type
    { };


  template<class _Tp1, class _Tp2>
    struct tuple_size<std::pair<_Tp1, _Tp2>>
    : public integral_constant<std::size_t, 2> { };


  template<class _Tp1, class _Tp2>
    struct tuple_element<0, std::pair<_Tp1, _Tp2>>
    { typedef _Tp1 type; };


  template<class _Tp1, class _Tp2>
    struct tuple_element<1, std::pair<_Tp1, _Tp2>>
    { typedef _Tp2 type; };

  template<std::size_t _Int>
    struct __pair_get;

  template<>
    struct __pair_get<0>
    {
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp1&
        __get(std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.first; }

      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp1&&
        __move_get(std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<_Tp1>(__pair.first); }

      template<typename _Tp1, typename _Tp2>
        static constexpr const _Tp1&
        __const_get(const std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.first; }
    };

  template<>
    struct __pair_get<1>
    {
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp2&
        __get(std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.second; }

      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp2&&
        __move_get(std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<_Tp2>(__pair.second); }

      template<typename _Tp1, typename _Tp2>
        static constexpr const _Tp2&
        __const_get(const std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.second; }
    };

  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&
    get(std::pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__get(__in); }

  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&&
    get(std::pair<_Tp1, _Tp2>&& __in) noexcept
    { return __pair_get<_Int>::__move_get(std::move(__in)); }

  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&
    get(const std::pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__const_get(__in); }



#define __cpp_lib_tuples_by_type 201304

  template <typename _Tp, typename _Up>
    constexpr _Tp&
    get(pair<_Tp, _Up>& __p) noexcept
    { return __p.first; }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&
    get(const pair<_Tp, _Up>& __p) noexcept
    { return __p.first; }

  template <typename _Tp, typename _Up>
    constexpr _Tp&&
    get(pair<_Tp, _Up>&& __p) noexcept
    { return std::move(__p.first); }

  template <typename _Tp, typename _Up>
    constexpr _Tp&
    get(pair<_Up, _Tp>& __p) noexcept
    { return __p.second; }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&
    get(const pair<_Up, _Tp>& __p) noexcept
    { return __p.second; }

  template <typename _Tp, typename _Up>
    constexpr _Tp&&
    get(pair<_Up, _Tp>&& __p) noexcept
    { return std::move(__p.second); }

#define __cpp_lib_exchange_function 201304


  template <typename _Tp, typename _Up = _Tp>
    inline _Tp
    exchange(_Tp& __obj, _Up&& __new_val)
    { return std::__exchange(__obj, std::forward<_Up>(__new_val)); }




  template<size_t... _Indexes> struct _Index_tuple { };


  template<typename _Itup1, typename _Itup2> struct _Itup_cat;

  template<size_t... _Ind1, size_t... _Ind2>
    struct _Itup_cat<_Index_tuple<_Ind1...>, _Index_tuple<_Ind2...>>
    {
      using __type = _Index_tuple<_Ind1..., (_Ind2 + sizeof...(_Ind1))...>;
    };


  template<size_t _Num>
    struct _Build_index_tuple
    : _Itup_cat<typename _Build_index_tuple<_Num / 2>::__type,
  typename _Build_index_tuple<_Num - _Num / 2>::__type>
    { };

  template<>
    struct _Build_index_tuple<1>
    {
      typedef _Index_tuple<0> __type;
    };

  template<>
    struct _Build_index_tuple<0>
    {
      typedef _Index_tuple<> __type;
    };



#define __cpp_lib_integer_sequence 201304


  template<typename _Tp, _Tp... _Idx>
    struct integer_sequence
    {
      typedef _Tp value_type;
      static constexpr size_t size() noexcept { return sizeof...(_Idx); }
    };

  template<typename _Tp, _Tp _Num,
    typename _ISeq = typename _Build_index_tuple<_Num>::__type>
    struct _Make_integer_sequence;

  template<typename _Tp, _Tp _Num, size_t... _Idx>
    struct _Make_integer_sequence<_Tp, _Num, _Index_tuple<_Idx...>>
    {
      static_assert( _Num >= 0,
       "Cannot make integer sequence of negative length" );

      typedef integer_sequence<_Tp, static_cast<_Tp>(_Idx)...> __type;
    };


  template<typename _Tp, _Tp _Num>
    using make_integer_sequence
      = typename _Make_integer_sequence<_Tp, _Num>::__type;


  template<size_t... _Idx>
    using index_sequence = integer_sequence<size_t, _Idx...>;


  template<size_t _Num>
    using make_index_sequence = make_integer_sequence<size_t, _Num>;


  template<typename... _Types>
    using index_sequence_for = make_index_sequence<sizeof...(_Types)>;
# 402 "/usr/include/c++/7/utility" 3

}
# 39 "/usr/include/c++/7/array" 2 3
# 1 "/usr/include/c++/7/stdexcept" 1 3
# 34 "/usr/include/c++/7/stdexcept" 3
#define _GLIBCXX_STDEXCEPT 1

       
# 37 "/usr/include/c++/7/stdexcept" 3

# 1 "/usr/include/c++/7/exception" 1 3
# 31 "/usr/include/c++/7/exception" 3
#define __EXCEPTION__ 

       
# 34 "/usr/include/c++/7/exception" 3

#pragma GCC visibility push(default)


# 1 "/usr/include/c++/7/bits/exception.h" 1 3
# 32 "/usr/include/c++/7/bits/exception.h" 3
#define __EXCEPTION_H 1

       
# 35 "/usr/include/c++/7/bits/exception.h" 3

#pragma GCC visibility push(default)



extern "C++" {

namespace std
{
# 60 "/usr/include/c++/7/bits/exception.h" 3
  class exception
  {
  public:
    exception() noexcept { }
    virtual ~exception() noexcept;



    virtual const char*
    what() const noexcept;
  };

}

}

#pragma GCC visibility pop
# 39 "/usr/include/c++/7/exception" 2 3

extern "C++" {

namespace std
{


  class bad_exception : public exception
  {
  public:
    bad_exception() noexcept { }



    virtual ~bad_exception() noexcept;


    virtual const char*
    what() const noexcept;
  };


  typedef void (*terminate_handler) ();


  typedef void (*unexpected_handler) ();


  terminate_handler set_terminate(terminate_handler) noexcept;



  terminate_handler get_terminate() noexcept;




  void terminate() noexcept __attribute__ ((__noreturn__));


  unexpected_handler set_unexpected(unexpected_handler) noexcept;



  unexpected_handler get_unexpected() noexcept;




  void unexpected() __attribute__ ((__noreturn__));
# 101 "/usr/include/c++/7/exception" 3
  bool uncaught_exception() noexcept __attribute__ ((__pure__));


#define __cpp_lib_uncaught_exceptions 201411

  int uncaught_exceptions() noexcept __attribute__ ((__pure__));



}

namespace __gnu_cxx
{

# 132 "/usr/include/c++/7/exception" 3
  void __verbose_terminate_handler();


}

}

#pragma GCC visibility pop


# 1 "/usr/include/c++/7/bits/exception_ptr.h" 1 3
# 32 "/usr/include/c++/7/bits/exception_ptr.h" 3
#define _EXCEPTION_PTR_H 

#pragma GCC visibility push(default)


# 1 "/usr/include/c++/7/bits/exception_defines.h" 1 3
# 31 "/usr/include/c++/7/bits/exception_defines.h" 3
#define _EXCEPTION_DEFINES_H 1
# 40 "/usr/include/c++/7/bits/exception_defines.h" 3
#define __try try
#define __catch(X) catch(X)
#define __throw_exception_again throw
# 38 "/usr/include/c++/7/bits/exception_ptr.h" 2 3
# 1 "/usr/include/c++/7/bits/cxxabi_init_exception.h" 1 3
# 32 "/usr/include/c++/7/bits/cxxabi_init_exception.h" 3
#define _CXXABI_INIT_EXCEPTION_H 1

       
# 35 "/usr/include/c++/7/bits/cxxabi_init_exception.h" 3

#pragma GCC visibility push(default)

# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 39 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#define _STDDEF_H 
#define _STDDEF_H_ 

#define _ANSI_STDDEF_H 
# 137 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#define _PTRDIFF_T 
#define _T_PTRDIFF_ 
#define _T_PTRDIFF 
#define __PTRDIFF_T 
#define _PTRDIFF_T_ 
#define _BSD_PTRDIFF_T_ 
#define ___int_ptrdiff_t_h 
#define _GCC_PTRDIFF_T 
#define _PTRDIFF_T_DECLARED 



typedef long int ptrdiff_t;
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 187 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#define __size_t__ 
#define __SIZE_T__ 
#define _SIZE_T 
#define _SYS_SIZE_T_H 
#define _T_SIZE_ 
#define _T_SIZE 
#define __SIZE_T 
#define _SIZE_T_ 
#define _BSD_SIZE_T_ 
#define _SIZE_T_DEFINED_ 
#define _SIZE_T_DEFINED 
#define _BSD_SIZE_T_DEFINED_ 
#define _SIZE_T_DECLARED 
#define ___int_size_t_h 
#define _GCC_SIZE_T 
#define _SIZET_ 







#define __size_t 





typedef long unsigned int size_t;
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 267 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#define __wchar_t__ 
#define __WCHAR_T__ 
#define _WCHAR_T 
#define _T_WCHAR_ 
#define _T_WCHAR 
#define __WCHAR_T 
#define _WCHAR_T_ 
#define _BSD_WCHAR_T_ 
#define _WCHAR_T_DEFINED_ 
#define _WCHAR_T_DEFINED 
#define _WCHAR_T_H 
#define ___int_wchar_t_h 
#define __INT_WCHAR_T_H 
#define _GCC_WCHAR_T 
#define _WCHAR_T_DECLARED 
# 294 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef _BSD_WCHAR_T_
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)




#define _GCC_MAX_ALIGN_T 



typedef struct {
  long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
  long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));
# 437 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
} max_align_t;





#define _GXX_NULLPTR_T 
  typedef decltype(nullptr) nullptr_t;
# 39 "/usr/include/c++/7/bits/cxxabi_init_exception.h" 2 3



#define _GLIBCXX_CDTOR_CALLABI 
#define _GLIBCXX_HAVE_CDTOR_CALLABI 0






namespace std
{
  class type_info;
}

namespace __cxxabiv1
{
  struct __cxa_refcounted_exception;

  extern "C"
    {

      void*
      __cxa_allocate_exception(size_t) noexcept;

      void
      __cxa_free_exception(void*) noexcept;


      __cxa_refcounted_exception*
      __cxa_init_primary_exception(void *object, std::type_info *tinfo,
                void ( *dest) (void *)) noexcept;

    }
}



#pragma GCC visibility pop
# 39 "/usr/include/c++/7/bits/exception_ptr.h" 2 3
# 1 "/usr/include/c++/7/typeinfo" 1 3
# 30 "/usr/include/c++/7/typeinfo" 3
#define _TYPEINFO 

       
# 33 "/usr/include/c++/7/typeinfo" 3



# 1 "/usr/include/c++/7/bits/hash_bytes.h" 1 3
# 31 "/usr/include/c++/7/bits/hash_bytes.h" 3
#define _HASH_BYTES_H 1

       
# 34 "/usr/include/c++/7/bits/hash_bytes.h" 3



namespace std
{







  size_t
  _Hash_bytes(const void* __ptr, size_t __len, size_t __seed);





  size_t
  _Fnv_hash_bytes(const void* __ptr, size_t __len, size_t __seed);


}
# 37 "/usr/include/c++/7/typeinfo" 2 3


#pragma GCC visibility push(default)

extern "C++" {

namespace __cxxabiv1
{
  class __class_type_info;
}
# 68 "/usr/include/c++/7/typeinfo" 3
#define __GXX_MERGED_TYPEINFO_NAMES 0







#define __GXX_TYPEINFO_EQUALITY_INLINE 1



namespace std
{






  class type_info
  {
  public:




    virtual ~type_info();



    const char* name() const noexcept
    { return __name[0] == '*' ? __name + 1 : __name; }
# 115 "/usr/include/c++/7/typeinfo" 3
    bool before(const type_info& __arg) const noexcept
    { return (__name[0] == '*' && __arg.__name[0] == '*')
 ? __name < __arg.__name
 : __builtin_strcmp (__name, __arg.__name) < 0; }

    bool operator==(const type_info& __arg) const noexcept
    {
      return ((__name == __arg.__name)
       || (__name[0] != '*' &&
    __builtin_strcmp (__name, __arg.__name) == 0));
    }
# 136 "/usr/include/c++/7/typeinfo" 3
    bool operator!=(const type_info& __arg) const noexcept
    { return !operator==(__arg); }


    size_t hash_code() const noexcept
    {

      return _Hash_bytes(name(), __builtin_strlen(name()),
    static_cast<size_t>(0xc70f6907UL));



    }



    virtual bool __is_pointer_p() const;


    virtual bool __is_function_p() const;







    virtual bool __do_catch(const type_info *__thr_type, void **__thr_obj,
       unsigned __outer) const;


    virtual bool __do_upcast(const __cxxabiv1::__class_type_info *__target,
        void **__obj_ptr) const;

  protected:
    const char *__name;

    explicit type_info(const char *__n): __name(__n) { }

  private:

    type_info& operator=(const type_info&);
    type_info(const type_info&);
  };







  class bad_cast : public exception
  {
  public:
    bad_cast() noexcept { }



    virtual ~bad_cast() noexcept;


    virtual const char* what() const noexcept;
  };





  class bad_typeid : public exception
  {
  public:
    bad_typeid () noexcept { }



    virtual ~bad_typeid() noexcept;


    virtual const char* what() const noexcept;
  };
}

}

#pragma GCC visibility pop
# 40 "/usr/include/c++/7/bits/exception_ptr.h" 2 3
# 1 "/usr/include/c++/7/new" 1 3
# 35 "/usr/include/c++/7/new" 3
#define _NEW 

       
# 38 "/usr/include/c++/7/new" 3


# 1 "/usr/include/c++/7/exception" 1 3
# 41 "/usr/include/c++/7/new" 2 3

#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();
  };


  class bad_array_new_length : public bad_alloc
  {
  public:
    bad_array_new_length() throw() { };



    virtual ~bad_array_new_length() throw();


    virtual const char* what() const throw();
  };






  struct nothrow_t
  {

    explicit nothrow_t() = default;

  };

  extern const nothrow_t nothrow;



  typedef void (*new_handler)();



  new_handler set_new_handler(new_handler) throw();



  new_handler get_new_handler() noexcept;

}
# 120 "/usr/include/c++/7/new" 3
void* operator new(std::size_t)
  __attribute__((__externally_visible__));
void* operator new[](std::size_t)
  __attribute__((__externally_visible__));
void operator delete(void*) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*) noexcept
  __attribute__((__externally_visible__));

void operator delete(void*, std::size_t) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, std::size_t) noexcept
  __attribute__((__externally_visible__));

void* operator new(std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void* operator new[](std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete(void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
# 168 "/usr/include/c++/7/new" 3
inline void* operator new(std::size_t, void* __p) noexcept
{ return __p; }
inline void* operator new[](std::size_t, void* __p) noexcept
{ return __p; }


inline void operator delete (void*, void*) noexcept { }
inline void operator delete[](void*, void*) noexcept { }

}
# 216 "/usr/include/c++/7/new" 3
#pragma GCC visibility pop
# 41 "/usr/include/c++/7/bits/exception_ptr.h" 2 3

extern "C++" {

namespace std
{
  class type_info;





  namespace __exception_ptr
  {
    class exception_ptr;
  }

  using __exception_ptr::exception_ptr;





  exception_ptr current_exception() noexcept;

  template<typename _Ex>
  exception_ptr make_exception_ptr(_Ex) noexcept;


  void rethrow_exception(exception_ptr) __attribute__ ((__noreturn__));

  namespace __exception_ptr
  {
    using std::rethrow_exception;





    class exception_ptr
    {
      void* _M_exception_object;

      explicit exception_ptr(void* __e) noexcept;

      void _M_addref() noexcept;
      void _M_release() noexcept;

      void *_M_get() const noexcept __attribute__ ((__pure__));

      friend exception_ptr std::current_exception() noexcept;
      friend void std::rethrow_exception(exception_ptr);
      template<typename _Ex>
      friend exception_ptr std::make_exception_ptr(_Ex) noexcept;

    public:
      exception_ptr() noexcept;

      exception_ptr(const exception_ptr&) noexcept;


      exception_ptr(nullptr_t) noexcept
      : _M_exception_object(0)
      { }

      exception_ptr(exception_ptr&& __o) noexcept
      : _M_exception_object(__o._M_exception_object)
      { __o._M_exception_object = 0; }
# 117 "/usr/include/c++/7/bits/exception_ptr.h" 3
      exception_ptr&
      operator=(const exception_ptr&) noexcept;


      exception_ptr&
      operator=(exception_ptr&& __o) noexcept
      {
        exception_ptr(static_cast<exception_ptr&&>(__o)).swap(*this);
        return *this;
      }


      ~exception_ptr() noexcept;

      void
      swap(exception_ptr&) noexcept;
# 144 "/usr/include/c++/7/bits/exception_ptr.h" 3
      explicit operator bool() const
      { return _M_exception_object; }


      friend bool
      operator==(const exception_ptr&, const exception_ptr&)
 noexcept __attribute__ ((__pure__));

      const class std::type_info*
      __cxa_exception_type() const noexcept
 __attribute__ ((__pure__));
    };

    bool
    operator==(const exception_ptr&, const exception_ptr&)
      noexcept __attribute__ ((__pure__));

    bool
    operator!=(const exception_ptr&, const exception_ptr&)
      noexcept __attribute__ ((__pure__));

    inline void
    swap(exception_ptr& __lhs, exception_ptr& __rhs)
    { __lhs.swap(__rhs); }

    template<typename _Ex>
      inline void
      __dest_thunk(void* __x)
      { static_cast<_Ex*>(__x)->~_Ex(); }

  }


  template<typename _Ex>
    exception_ptr
    make_exception_ptr(_Ex __ex) noexcept
    {

      void* __e = __cxxabiv1::__cxa_allocate_exception(sizeof(_Ex));
      (void) __cxxabiv1::__cxa_init_primary_exception(
   __e, const_cast<std::type_info*>(&typeid(__ex)),
   __exception_ptr::__dest_thunk<_Ex>);
      try
 {
          ::new (__e) _Ex(__ex);
          return exception_ptr(__e);
 }
      catch(...)
 {
   __cxxabiv1::__cxa_free_exception(__e);
   return current_exception();
 }
# 208 "/usr/include/c++/7/bits/exception_ptr.h" 3
    }





  template<typename _Ex>
    exception_ptr
    copy_exception(_Ex __ex) noexcept __attribute__ ((__deprecated__));

  template<typename _Ex>
    exception_ptr
    copy_exception(_Ex __ex) noexcept
    { return std::make_exception_ptr<_Ex>(__ex); }


}

}

#pragma GCC visibility pop
# 143 "/usr/include/c++/7/exception" 2 3
# 1 "/usr/include/c++/7/bits/nested_exception.h" 1 3
# 31 "/usr/include/c++/7/bits/nested_exception.h" 3
#define _GLIBCXX_NESTED_EXCEPTION_H 1

#pragma GCC visibility push(default)
# 42 "/usr/include/c++/7/bits/nested_exception.h" 3
extern "C++" {

namespace std
{






  class nested_exception
  {
    exception_ptr _M_ptr;

  public:
    nested_exception() noexcept : _M_ptr(current_exception()) { }

    nested_exception(const nested_exception&) noexcept = default;

    nested_exception& operator=(const nested_exception&) noexcept = default;

    virtual ~nested_exception() noexcept;

    [[noreturn]]
    void
    rethrow_nested() const
    {
      if (_M_ptr)
 rethrow_exception(_M_ptr);
      std::terminate();
    }

    exception_ptr
    nested_ptr() const noexcept
    { return _M_ptr; }
  };

  template<typename _Except>
    struct _Nested_exception : public _Except, public nested_exception
    {
      explicit _Nested_exception(const _Except& __ex)
      : _Except(__ex)
      { }

      explicit _Nested_exception(_Except&& __ex)
      : _Except(static_cast<_Except&&>(__ex))
      { }
    };




  template<typename _Tp>
    inline void
    __throw_with_nested_impl(_Tp&& __t, true_type)
    {
      using _Up = typename remove_reference<_Tp>::type;
      throw _Nested_exception<_Up>{std::forward<_Tp>(__t)};
    }

  template<typename _Tp>
    inline void
    __throw_with_nested_impl(_Tp&& __t, false_type)
    { throw std::forward<_Tp>(__t); }



  template<typename _Tp>
    [[noreturn]]
    inline void
    throw_with_nested(_Tp&& __t)
    {
      using _Up = typename decay<_Tp>::type;
      using _CopyConstructible
 = __and_<is_copy_constructible<_Up>, is_move_constructible<_Up>>;
      static_assert(_CopyConstructible::value,
   "throw_with_nested argument must be CopyConstructible");
      using __nest = __and_<is_class<_Up>, __bool_constant<!__is_final(_Up)>,
       __not_<is_base_of<nested_exception, _Up>>>;
      std::__throw_with_nested_impl(std::forward<_Tp>(__t), __nest{});
    }


  template<typename _Tp>
    using __rethrow_if_nested_cond = typename enable_if<
      __and_<is_polymorphic<_Tp>,
      __or_<__not_<is_base_of<nested_exception, _Tp>>,
     is_convertible<_Tp*, nested_exception*>>>::value
    >::type;


  template<typename _Ex>
    inline __rethrow_if_nested_cond<_Ex>
    __rethrow_if_nested_impl(const _Ex* __ptr)
    {
      if (auto __ne_ptr = dynamic_cast<const nested_exception*>(__ptr))
 __ne_ptr->rethrow_nested();
    }


  inline void
  __rethrow_if_nested_impl(const void*)
  { }


  template<typename _Ex>
    inline void
    rethrow_if_nested(const _Ex& __ex)
    { std::__rethrow_if_nested_impl(std::__addressof(__ex)); }


}

}



#pragma GCC visibility pop
# 144 "/usr/include/c++/7/exception" 2 3
# 39 "/usr/include/c++/7/stdexcept" 2 3
# 1 "/usr/include/c++/7/string" 1 3
# 34 "/usr/include/c++/7/string" 3
#define _GLIBCXX_STRING 1

       
# 37 "/usr/include/c++/7/string" 3


# 1 "/usr/include/c++/7/bits/stringfwd.h" 1 3
# 35 "/usr/include/c++/7/bits/stringfwd.h" 3
#define _STRINGFWD_H 1

       
# 38 "/usr/include/c++/7/bits/stringfwd.h" 3


# 1 "/usr/include/c++/7/bits/memoryfwd.h" 1 3
# 44 "/usr/include/c++/7/bits/memoryfwd.h" 3
#define _MEMORYFWD_H 1

       
# 47 "/usr/include/c++/7/bits/memoryfwd.h" 3



namespace std __attribute__ ((__visibility__ ("default")))
{

# 63 "/usr/include/c++/7/bits/memoryfwd.h" 3
  template<typename>
    class allocator;

  template<>
    class allocator<void>;


  template<typename, typename>
    struct uses_allocator;




}
# 41 "/usr/include/c++/7/bits/stringfwd.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{








  template<class _CharT>
    struct char_traits;

  template<> struct char_traits<char>;


  template<> struct char_traits<wchar_t>;




  template<> struct char_traits<char16_t>;
  template<> struct char_traits<char32_t>;


namespace __cxx11 {

  template<typename _CharT, typename _Traits = char_traits<_CharT>,
           typename _Alloc = allocator<_CharT> >
    class basic_string;


  typedef basic_string<char> string;



  typedef basic_string<wchar_t> wstring;





  typedef basic_string<char16_t> u16string;


  typedef basic_string<char32_t> u32string;


}




}
# 40 "/usr/include/c++/7/string" 2 3
# 1 "/usr/include/c++/7/bits/char_traits.h" 1 3
# 35 "/usr/include/c++/7/bits/char_traits.h" 3
#define _CHAR_TRAITS_H 1

       
# 38 "/usr/include/c++/7/bits/char_traits.h" 3

# 1 "/usr/include/c++/7/bits/stl_algobase.h" 1 3
# 57 "/usr/include/c++/7/bits/stl_algobase.h" 3
#define _STL_ALGOBASE_H 1


# 1 "/usr/include/c++/7/bits/functexcept.h" 1 3
# 37 "/usr/include/c++/7/bits/functexcept.h" 3
#define _FUNCTEXCEPT_H 1




namespace std __attribute__ ((__visibility__ ("default")))
{



  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_out_of_range_fmt(const char*, ...) __attribute__((__noreturn__))
    __attribute__((__format__(__gnu_printf__, 1, 2)));

  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__));

  void
  __throw_system_error(int) __attribute__((__noreturn__));

  void
  __throw_future_error(int) __attribute__((__noreturn__));


  void
  __throw_bad_function_call() __attribute__((__noreturn__));


}
# 61 "/usr/include/c++/7/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/7/bits/cpp_type_traits.h" 1 3
# 33 "/usr/include/c++/7/bits/cpp_type_traits.h" 3
#define _CPP_TYPE_TRAITS_H 1

       
# 36 "/usr/include/c++/7/bits/cpp_type_traits.h" 3
# 67 "/usr/include/c++/7/bits/cpp_type_traits.h" 3
extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{


  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<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<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char32_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;
    };

#define __INT_N(TYPE) template<> struct __is_integer<TYPE> { enum { __value = 1 }; typedef __true_type __type; }; template<> struct __is_integer<unsigned TYPE> { enum { __value = 1 }; typedef __true_type __type; };
# 261 "/usr/include/c++/7/bits/cpp_type_traits.h" 3
template<> struct __is_integer<__int128> { enum { __value = 1 }; typedef __true_type __type; }; template<> struct __is_integer<unsigned __int128> { enum { __value = 1 }; typedef __true_type __type; };
# 273 "/usr/include/c++/7/bits/cpp_type_traits.h" 3
#undef __INT_N




  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_arithmetic
    : public __traitor<__is_integer<_Tp>, __is_floating<_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;
    };



  template<typename _Iterator>
    inline _Iterator
    __miter_base(_Iterator __it)
    { return __it; }


}
}
# 62 "/usr/include/c++/7/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/7/ext/type_traits.h" 1 3
# 30 "/usr/include/c++/7/ext/type_traits.h" 3
#define _EXT_TYPE_TRAITS 1

       
# 33 "/usr/include/c++/7/ext/type_traits.h" 3




extern "C++" {

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  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; }


  inline bool
  __is_null_pointer(std::nullptr_t)
  { return true; }



  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
    struct __promote
    { typedef double __type; };




  template<typename _Tp>
    struct __promote<_Tp, false>
    { };

  template<>
    struct __promote<long double>
    { typedef long double __type; };

  template<>
    struct __promote<double>
    { typedef double __type; };

  template<>
    struct __promote<float>
    { typedef float __type; };

  template<typename _Tp, typename _Up,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type>
    struct __promote_2
    {
      typedef __typeof__(_Tp2() + _Up2()) __type;
    };

  template<typename _Tp, typename _Up, typename _Vp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type>
    struct __promote_3
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2()) __type;
    };

  template<typename _Tp, typename _Up, typename _Vp, typename _Wp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type,
           typename _Wp2 = typename __promote<_Wp>::__type>
    struct __promote_4
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2() + _Wp2()) __type;
    };


}
}
# 63 "/usr/include/c++/7/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/7/ext/numeric_traits.h" 1 3
# 30 "/usr/include/c++/7/ext/numeric_traits.h" 3
#define _EXT_NUMERIC_TRAITS 1

       
# 33 "/usr/include/c++/7/ext/numeric_traits.h" 3




namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{




#define __glibcxx_signed(_Tp) ((_Tp)(-1) < 0)
#define __glibcxx_digits(_Tp) (sizeof(_Tp) * __CHAR_BIT__ - __glibcxx_signed(_Tp))


#define __glibcxx_min(_Tp) (__glibcxx_signed(_Tp) ? (_Tp)1 << __glibcxx_digits(_Tp) : (_Tp)0)


#define __glibcxx_max(_Tp) (__glibcxx_signed(_Tp) ? (((((_Tp)1 << (__glibcxx_digits(_Tp) - 1)) - 1) << 1) + 1) : ~(_Tp)0)



  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;

#undef __glibcxx_signed
#undef __glibcxx_digits
#undef __glibcxx_min
#undef __glibcxx_max

#define __glibcxx_floating(_Tp,_Fval,_Dval,_LDval) (std::__are_same<_Tp, float>::__value ? _Fval : std::__are_same<_Tp, double>::__value ? _Dval : _LDval)



#define __glibcxx_max_digits10(_Tp) (2 + __glibcxx_floating(_Tp, __FLT_MANT_DIG__, __DBL_MANT_DIG__, __LDBL_MANT_DIG__) * 643L / 2136)



#define __glibcxx_digits10(_Tp) __glibcxx_floating(_Tp, __FLT_DIG__, __DBL_DIG__, __LDBL_DIG__)


#define __glibcxx_max_exponent10(_Tp) __glibcxx_floating(_Tp, __FLT_MAX_10_EXP__, __DBL_MAX_10_EXP__, __LDBL_MAX_10_EXP__)



  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) * 643L / 2136);


      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
    { };


}

#undef __glibcxx_floating
#undef __glibcxx_max_digits10
#undef __glibcxx_digits10
#undef __glibcxx_max_exponent10
# 64 "/usr/include/c++/7/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 1 3
# 60 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3
#define _STL_ITERATOR_BASE_TYPES_H 1

       
# 63 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3







namespace std __attribute__ ((__visibility__ ("default")))
{

# 89 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3
  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 { };
# 116 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3
  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;
    };
# 143 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3
  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };

  template<typename _Iterator>
    struct __iterator_traits<_Iterator,
        __void_t<typename _Iterator::iterator_category,
          typename _Iterator::value_type,
          typename _Iterator::difference_type,
          typename _Iterator::pointer,
          typename _Iterator::reference>>
    {
      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 _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
# 177 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3
  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 constexpr
    typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }
# 231 "/usr/include/c++/7/bits/stl_iterator_base_types.h" 3
  template<typename _InIter>
    using _RequireInputIter = typename
      enable_if<is_convertible<typename
  iterator_traits<_InIter>::iterator_category,
          input_iterator_tag>::value>::type;



}
# 66 "/usr/include/c++/7/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/7/bits/stl_iterator_base_funcs.h" 1 3
# 60 "/usr/include/c++/7/bits/stl_iterator_base_funcs.h" 3
#define _STL_ITERATOR_BASE_FUNCS_H 1

       
# 63 "/usr/include/c++/7/bits/stl_iterator_base_funcs.h" 3


# 1 "/usr/include/c++/7/debug/assertions.h" 1 3
# 30 "/usr/include/c++/7/debug/assertions.h" 3
#define _GLIBCXX_DEBUG_ASSERTIONS_H 1



#define _GLIBCXX_DEBUG_ASSERT(_Condition) 
#define _GLIBCXX_DEBUG_PEDASSERT(_Condition) 
#define _GLIBCXX_DEBUG_ONLY(_Statement) 




#define __glibcxx_requires_non_empty_range(_First,_Last) 
#define __glibcxx_requires_nonempty() 
#define __glibcxx_requires_subscript(_N) 
# 66 "/usr/include/c++/7/bits/stl_iterator_base_funcs.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{


  template <typename> struct _List_iterator;
  template <typename> struct _List_const_iterator;




  template<typename _InputIterator>
    inline constexpr
    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 constexpr
    typename iterator_traits<_RandomAccessIterator>::difference_type
    __distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
               random_access_iterator_tag)
    {

     

      return __last - __first;
    }



  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_iterator<_Tp>,
        std::_List_iterator<_Tp>,
        input_iterator_tag);

  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_const_iterator<_Tp>,
        std::_List_const_iterator<_Tp>,
        input_iterator_tag);
# 135 "/usr/include/c++/7/bits/stl_iterator_base_funcs.h" 3
  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 constexpr void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {

     
      ;
      while (__n--)
 ++__i;
    }

  template<typename _BidirectionalIterator, typename _Distance>
    inline constexpr 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 constexpr void
    __advance(_RandomAccessIterator& __i, _Distance __n,
              random_access_iterator_tag)
    {

     

      __i += __n;
    }
# 195 "/usr/include/c++/7/bits/stl_iterator_base_funcs.h" 3
  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));
    }



  template<typename _ForwardIterator>
    inline _ForwardIterator
    next(_ForwardIterator __x, typename
  iterator_traits<_ForwardIterator>::difference_type __n = 1)
    {

     

      std::advance(__x, __n);
      return __x;
    }

  template<typename _BidirectionalIterator>
    inline _BidirectionalIterator
    prev(_BidirectionalIterator __x, typename
  iterator_traits<_BidirectionalIterator>::difference_type __n = 1)
    {

     

      std::advance(__x, -__n);
      return __x;
    }




}
# 67 "/usr/include/c++/7/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/7/bits/stl_iterator.h" 1 3
# 61 "/usr/include/c++/7/bits/stl_iterator.h" 3
#define _STL_ITERATOR_H 1




# 1 "/usr/include/c++/7/bits/ptr_traits.h" 1 3
# 31 "/usr/include/c++/7/bits/ptr_traits.h" 3
#define _PTR_TRAITS_H 1





namespace std __attribute__ ((__visibility__ ("default")))
{


  class __undefined;


  template<typename _Tp>
    struct __get_first_arg
    { using type = __undefined; };

  template<template<typename, typename...> class _Template, typename _Tp,
           typename... _Types>
    struct __get_first_arg<_Template<_Tp, _Types...>>
    { using type = _Tp; };

  template<typename _Tp>
    using __get_first_arg_t = typename __get_first_arg<_Tp>::type;


  template<typename _Tp, typename _Up>
    struct __replace_first_arg
    { };

  template<template<typename, typename...> class _Template, typename _Up,
           typename _Tp, typename... _Types>
    struct __replace_first_arg<_Template<_Tp, _Types...>, _Up>
    { using type = _Template<_Up, _Types...>; };

  template<typename _Tp, typename _Up>
    using __replace_first_arg_t = typename __replace_first_arg<_Tp, _Up>::type;

  template<typename _Tp>
    using __make_not_void
      = typename conditional<is_void<_Tp>::value, __undefined, _Tp>::type;





  template<typename _Ptr>
    struct pointer_traits
    {
    private:
      template<typename _Tp>
 using __element_type = typename _Tp::element_type;

      template<typename _Tp>
 using __difference_type = typename _Tp::difference_type;

      template<typename _Tp, typename _Up, typename = void>
 struct __rebind : __replace_first_arg<_Tp, _Up> { };

      template<typename _Tp, typename _Up>
 struct __rebind<_Tp, _Up, __void_t<typename _Tp::template rebind<_Up>>>
 { using type = typename _Tp::template rebind<_Up>; };

    public:

      using pointer = _Ptr;


      using element_type
 = __detected_or_t<__get_first_arg_t<_Ptr>, __element_type, _Ptr>;


      using difference_type
 = __detected_or_t<ptrdiff_t, __difference_type, _Ptr>;


      template<typename _Up>
        using rebind = typename __rebind<_Ptr, _Up>::type;

      static _Ptr
      pointer_to(__make_not_void<element_type>& __e)
      { return _Ptr::pointer_to(__e); }

      static_assert(!is_same<element_type, __undefined>::value,
   "pointer type defines element_type or is like SomePointer<T, Args>");
    };





  template<typename _Tp>
    struct pointer_traits<_Tp*>
    {

      typedef _Tp* pointer;

      typedef _Tp element_type;

      typedef ptrdiff_t difference_type;

      template<typename _Up>
        using rebind = _Up*;






      static pointer
      pointer_to(__make_not_void<element_type>& __r) noexcept
      { return std::addressof(__r); }
    };


  template<typename _Ptr, typename _Tp>
    using __ptr_rebind = typename pointer_traits<_Ptr>::template rebind<_Tp>;


}
# 67 "/usr/include/c++/7/bits/stl_iterator.h" 2 3





namespace std __attribute__ ((__visibility__ ("default")))
{

# 100 "/usr/include/c++/7/bits/stl_iterator.h" 3
  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;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::pointer pointer;
      typedef typename __traits_type::reference reference;







     
      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; }
# 167 "/usr/include/c++/7/bits/stl_iterator.h" 3
      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); }
    };
# 297 "/usr/include/c++/7/bits/stl_iterator.h" 3
  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 _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); }
# 387 "/usr/include/c++/7/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { 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 _Iterator>
    inline reverse_iterator<_Iterator>
    __make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }


#define __cpp_lib_make_reverse_iterator 201402




  template<typename _Iterator>
    inline reverse_iterator<_Iterator>
    make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }




  template<typename _Iterator>
    auto
    __niter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__niter_base(__it.base())))
    { return __make_reverse_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<reverse_iterator<_Iterator> >
      : __is_move_iterator<_Iterator>
    { };

  template<typename _Iterator>
    auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }
# 451 "/usr/include/c++/7/bits/stl_iterator.h" 3
  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(std::__addressof(__x)) { }
# 486 "/usr/include/c++/7/bits/stl_iterator.h" 3
      back_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_back(__value);
 return *this;
      }

      back_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_back(std::move(__value));
 return *this;
      }



      back_insert_iterator&
      operator*()
      { return *this; }


      back_insert_iterator&
      operator++()
      { return *this; }


      back_insert_iterator
      operator++(int)
      { return *this; }
    };
# 528 "/usr/include/c++/7/bits/stl_iterator.h" 3
  template<typename _Container>
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 543 "/usr/include/c++/7/bits/stl_iterator.h" 3
  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(std::__addressof(__x)) { }
# 577 "/usr/include/c++/7/bits/stl_iterator.h" 3
      front_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_front(__value);
 return *this;
      }

      front_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_front(std::move(__value));
 return *this;
      }



      front_insert_iterator&
      operator*()
      { return *this; }


      front_insert_iterator&
      operator++()
      { return *this; }


      front_insert_iterator
      operator++(int)
      { return *this; }
    };
# 619 "/usr/include/c++/7/bits/stl_iterator.h" 3
  template<typename _Container>
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 638 "/usr/include/c++/7/bits/stl_iterator.h" 3
  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(std::__addressof(__x)), iter(__i) {}
# 689 "/usr/include/c++/7/bits/stl_iterator.h" 3
      insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 iter = container->insert(iter, __value);
 ++iter;
 return *this;
      }

      insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 iter = container->insert(iter, std::move(__value));
 ++iter;
 return *this;
      }



      insert_iterator&
      operator*()
      { return *this; }


      insert_iterator&
      operator++()
      { return *this; }


      insert_iterator&
      operator++(int)
      { return *this; }
    };
# 733 "/usr/include/c++/7/bits/stl_iterator.h" 3
  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 __attribute__ ((__visibility__ ("default")))
{

# 757 "/usr/include/c++/7/bits/stl_iterator.h" 3
  using std::iterator_traits;
  using std::iterator;
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
      typedef typename __traits_type::pointer pointer;

      constexpr __normal_iterator() noexcept
      : _M_current(_Iterator()) { }

      explicit
      __normal_iterator(const _Iterator& __i) noexcept
      : _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) noexcept
        : _M_current(__i.base()) { }


      reference
      operator*() const noexcept
      { return *_M_current; }

      pointer
      operator->() const noexcept
      { return _M_current; }

      __normal_iterator&
      operator++() noexcept
      {
 ++_M_current;
 return *this;
      }

      __normal_iterator
      operator++(int) noexcept
      { return __normal_iterator(_M_current++); }


      __normal_iterator&
      operator--() noexcept
      {
 --_M_current;
 return *this;
      }

      __normal_iterator
      operator--(int) noexcept
      { return __normal_iterator(_M_current--); }


      reference
      operator[](difference_type __n) const noexcept
      { return _M_current[__n]; }

      __normal_iterator&
      operator+=(difference_type __n) noexcept
      { _M_current += __n; return *this; }

      __normal_iterator
      operator+(difference_type __n) const noexcept
      { return __normal_iterator(_M_current + __n); }

      __normal_iterator&
      operator-=(difference_type __n) noexcept
      { _M_current -= __n; return *this; }

      __normal_iterator
      operator-(difference_type __n) const noexcept
      { return __normal_iterator(_M_current - __n); }

      const _Iterator&
      base() const noexcept
      { return _M_current; }
    };
# 857 "/usr/include/c++/7/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { return __lhs.base() >= __rhs.base(); }





  template<typename _IteratorL, typename _IteratorR, typename _Container>


    inline auto
    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs) noexcept
    -> decltype(__lhs.base() - __rhs.base())





    { 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)
    noexcept
    { 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)
    noexcept
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }


}

namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Iterator, typename _Container>
    _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    { return __it.base(); }


}



namespace std __attribute__ ((__visibility__ ("default")))
{

# 1009 "/usr/include/c++/7/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator
    {
    protected:
      _Iterator _M_current;

      typedef iterator_traits<_Iterator> __traits_type;
      typedef typename __traits_type::reference __base_ref;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;

      typedef _Iterator pointer;


      typedef typename conditional<is_reference<__base_ref>::value,
    typename remove_reference<__base_ref>::type&&,
    __base_ref>::type reference;

     
      move_iterator()
      : _M_current() { }

      explicit
      move_iterator(iterator_type __i)
      : _M_current(__i) { }

      template<typename _Iter>

 move_iterator(const move_iterator<_Iter>& __i)
 : _M_current(__i.base()) { }

      iterator_type
      base() const
      { return _M_current; }

      reference
      operator*() const
      { return static_cast<reference>(*_M_current); }

      pointer
      operator->() const
      { return _M_current; }

      move_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }

      move_iterator
      operator++(int)
      {
 move_iterator __tmp = *this;
 ++_M_current;
 return __tmp;
      }

      move_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }

      move_iterator
      operator--(int)
      {
 move_iterator __tmp = *this;
 --_M_current;
 return __tmp;
      }

      move_iterator
      operator+(difference_type __n) const
      { return move_iterator(_M_current + __n); }

      move_iterator&
      operator+=(difference_type __n)
      {
 _M_current += __n;
 return *this;
      }

      move_iterator
      operator-(difference_type __n) const
      { return move_iterator(_M_current - __n); }

      move_iterator&
      operator-=(difference_type __n)
      {
 _M_current -= __n;
 return *this;
      }

      reference
      operator[](difference_type __n) const
      { return std::move(_M_current[__n]); }
    };




  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }

  template<typename _Iterator>
    inline bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    inline bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    { return __x.base() < __y.base(); }

  template<typename _Iterator>
    inline bool
    operator<(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    inline bool
    operator<=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    inline bool
    operator>(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x < __y); }

  template<typename _Iterator>
    inline bool
    operator>=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x < __y); }


  template<typename _IteratorL, typename _IteratorR>
    inline auto
    operator-(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }

  template<typename _Iterator>
    inline move_iterator<_Iterator>
    operator+(typename move_iterator<_Iterator>::difference_type __n,
       const move_iterator<_Iterator>& __x)
    { return __x + __n; }

  template<typename _Iterator>
    inline move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(__i); }

  template<typename _Iterator, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond
      <typename iterator_traits<_Iterator>::value_type>::value,
                _Iterator, move_iterator<_Iterator>>::type>
    inline _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }



  template<typename _Tp, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond<_Tp>::value,
      const _Tp*, move_iterator<_Tp*>>::type>
    inline _ReturnType
    __make_move_if_noexcept_iterator(_Tp* __i)
    { return _ReturnType(__i); }



  template<typename _Iterator>
    auto
    __niter_base(move_iterator<_Iterator> __it)
    -> decltype(make_move_iterator(__niter_base(__it.base())))
    { return make_move_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<move_iterator<_Iterator> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<typename _Iterator>
    auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }


}

#define _GLIBCXX_MAKE_MOVE_ITERATOR(_Iter) std::make_move_iterator(_Iter)
#define _GLIBCXX_MAKE_MOVE_IF_NOEXCEPT_ITERATOR(_Iter) std::__make_move_if_noexcept_iterator(_Iter)
# 68 "/usr/include/c++/7/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/7/debug/debug.h" 1 3
# 30 "/usr/include/c++/7/debug/debug.h" 3
#define _GLIBCXX_DEBUG_MACRO_SWITCH_H 1
# 48 "/usr/include/c++/7/debug/debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;
}



#define __glibcxx_requires_cond(_Cond,_Msg) 
#define __glibcxx_requires_valid_range(_First,_Last) 
#define __glibcxx_requires_sorted(_First,_Last) 
#define __glibcxx_requires_sorted_pred(_First,_Last,_Pred) 
#define __glibcxx_requires_sorted_set(_First1,_Last1,_First2) 
#define __glibcxx_requires_sorted_set_pred(_First1,_Last1,_First2,_Pred) 
#define __glibcxx_requires_partitioned_lower(_First,_Last,_Value) 
#define __glibcxx_requires_partitioned_upper(_First,_Last,_Value) 
#define __glibcxx_requires_partitioned_lower_pred(_First,_Last,_Value,_Pred) 
#define __glibcxx_requires_partitioned_upper_pred(_First,_Last,_Value,_Pred) 
#define __glibcxx_requires_heap(_First,_Last) 
#define __glibcxx_requires_heap_pred(_First,_Last,_Pred) 
#define __glibcxx_requires_string(_String) 
#define __glibcxx_requires_string_len(_String,_Len) 
#define __glibcxx_requires_irreflexive(_First,_Last) 
#define __glibcxx_requires_irreflexive2(_First,_Last) 
#define __glibcxx_requires_irreflexive_pred(_First,_Last,_Pred) 
#define __glibcxx_requires_irreflexive_pred2(_First,_Last,_Pred) 
# 70 "/usr/include/c++/7/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/7/bits/predefined_ops.h" 1 3
# 31 "/usr/include/c++/7/bits/predefined_ops.h" 3
#define _GLIBCXX_PREDEFINED_OPS_H 1

namespace __gnu_cxx
{
namespace __ops
{
  struct _Iter_less_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      constexpr
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 < *__it2; }
  };

  constexpr
  inline _Iter_less_iter
  __iter_less_iter()
  { return _Iter_less_iter(); }

  struct _Iter_less_val
  {

    constexpr _Iter_less_val() = default;




    explicit
    _Iter_less_val(_Iter_less_iter) { }

    template<typename _Iterator, typename _Value>
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it < __val; }
  };

  inline _Iter_less_val
  __iter_less_val()
  { return _Iter_less_val(); }

  inline _Iter_less_val
  __iter_comp_val(_Iter_less_iter)
  { return _Iter_less_val(); }

  struct _Val_less_iter
  {

    constexpr _Val_less_iter() = default;




    explicit
    _Val_less_iter(_Iter_less_iter) { }

    template<typename _Value, typename _Iterator>
      bool
      operator()(_Value& __val, _Iterator __it) const
      { return __val < *__it; }
  };

  inline _Val_less_iter
  __val_less_iter()
  { return _Val_less_iter(); }

  inline _Val_less_iter
  __val_comp_iter(_Iter_less_iter)
  { return _Val_less_iter(); }

  struct _Iter_equal_to_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 == *__it2; }
  };

  inline _Iter_equal_to_iter
  __iter_equal_to_iter()
  { return _Iter_equal_to_iter(); }

  struct _Iter_equal_to_val
  {
    template<typename _Iterator, typename _Value>
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it == __val; }
  };

  inline _Iter_equal_to_val
  __iter_equal_to_val()
  { return _Iter_equal_to_val(); }

  inline _Iter_equal_to_val
  __iter_comp_val(_Iter_equal_to_iter)
  { return _Iter_equal_to_val(); }

  template<typename _Compare>
    struct _Iter_comp_iter
    {
      _Compare _M_comp;

      explicit constexpr
      _Iter_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      template<typename _Iterator1, typename _Iterator2>
        constexpr
        bool
        operator()(_Iterator1 __it1, _Iterator2 __it2)
        { return bool(_M_comp(*__it1, *__it2)); }
    };

  template<typename _Compare>
    constexpr
    inline _Iter_comp_iter<_Compare>
    __iter_comp_iter(_Compare __comp)
    { return _Iter_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Iter_comp_val
    {
      _Compare _M_comp;

      explicit
      _Iter_comp_val(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      explicit
      _Iter_comp_val(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


      explicit
      _Iter_comp_val(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Iterator, typename _Value>
 bool
 operator()(_Iterator __it, _Value& __val)
 { return bool(_M_comp(*__it, __val)); }
    };

  template<typename _Compare>
   inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Compare __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Iter_comp_iter<_Compare> __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Val_comp_iter
    {
      _Compare _M_comp;

      explicit
      _Val_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      explicit
      _Val_comp_iter(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


      explicit
      _Val_comp_iter(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Value, typename _Iterator>
 bool
 operator()(_Value& __val, _Iterator __it)
 { return bool(_M_comp(__val, *__it)); }
    };

  template<typename _Compare>
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Compare __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Iter_comp_iter<_Compare> __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Value>
    struct _Iter_equals_val
    {
      _Value& _M_value;

      explicit
      _Iter_equals_val(_Value& __value)
 : _M_value(__value)
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return *__it == _M_value; }
    };

  template<typename _Value>
    inline _Iter_equals_val<_Value>
    __iter_equals_val(_Value& __val)
    { return _Iter_equals_val<_Value>(__val); }

  template<typename _Iterator1>
    struct _Iter_equals_iter
    {
      _Iterator1 _M_it1;

      explicit
      _Iter_equals_iter(_Iterator1 __it1)
 : _M_it1(__it1)
      { }

      template<typename _Iterator2>
 bool
 operator()(_Iterator2 __it2)
 { return *__it2 == *_M_it1; }
    };

  template<typename _Iterator>
    inline _Iter_equals_iter<_Iterator>
    __iter_comp_iter(_Iter_equal_to_iter, _Iterator __it)
    { return _Iter_equals_iter<_Iterator>(__it); }

  template<typename _Predicate>
    struct _Iter_pred
    {
      _Predicate _M_pred;

      explicit
      _Iter_pred(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
    inline _Iter_pred<_Predicate>
    __pred_iter(_Predicate __pred)
    { return _Iter_pred<_Predicate>(std::move(__pred)); }

  template<typename _Compare, typename _Value>
    struct _Iter_comp_to_val
    {
      _Compare _M_comp;
      _Value& _M_value;

      _Iter_comp_to_val(_Compare __comp, _Value& __value)
 : _M_comp(std::move(__comp)), _M_value(__value)
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return bool(_M_comp(*__it, _M_value)); }
    };

  template<typename _Compare, typename _Value>
    _Iter_comp_to_val<_Compare, _Value>
    __iter_comp_val(_Compare __comp, _Value &__val)
    {
      return _Iter_comp_to_val<_Compare, _Value>(std::move(__comp), __val);
    }

  template<typename _Compare, typename _Iterator1>
    struct _Iter_comp_to_iter
    {
      _Compare _M_comp;
      _Iterator1 _M_it1;

      _Iter_comp_to_iter(_Compare __comp, _Iterator1 __it1)
 : _M_comp(std::move(__comp)), _M_it1(__it1)
      { }

      template<typename _Iterator2>
 bool
 operator()(_Iterator2 __it2)
 { return bool(_M_comp(*__it2, *_M_it1)); }
    };

  template<typename _Compare, typename _Iterator>
    inline _Iter_comp_to_iter<_Compare, _Iterator>
    __iter_comp_iter(_Iter_comp_iter<_Compare> __comp, _Iterator __it)
    {
      return _Iter_comp_to_iter<_Compare, _Iterator>(
   std::move(__comp._M_comp), __it);
    }

  template<typename _Predicate>
    struct _Iter_negate
    {
      _Predicate _M_pred;

      explicit
      _Iter_negate(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return !bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
    inline _Iter_negate<_Predicate>
    __negate(_Iter_pred<_Predicate> __pred)
    { return _Iter_negate<_Predicate>(std::move(__pred._M_pred)); }

}
}
# 72 "/usr/include/c++/7/bits/stl_algobase.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 118 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 148 "/usr/include/c++/7/bits/stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 164 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
  _ForwardIterator2 __first2)
    {

     

     

      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 std::iter_swap(__first1, __first2);
      return __first2;
    }
# 192 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {

     

      if (__b < __a)
 return __b;
      return __a;
    }
# 216 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {

     

      if (__a < __b)
 return __b;
      return __a;
    }
# 240 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__b, __a))
 return __b;
      return __a;
    }
# 262 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__a, __b))
 return __b;
      return __a;
    }



  template<typename _Iterator>
    inline _Iterator
    __niter_base(_Iterator __it)
    { return __it; }







  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, (void)++__first)
     *__result = *__first;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>
        static _OI
        __copy_m(_II __first, _II __last, _OI __result)
        {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = std::move(*__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<>
    struct __copy_move<true, 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 = std::move(*__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)
        {

   using __assignable = conditional<_IsMove,
        is_move_assignable<_Tp>,
        is_copy_assignable<_Tp>>;

   static_assert( __assignable::type::value, "type is not assignable" );

   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result, __first, sizeof(_Tp) * _Num);
   return __result + _Num;
 }
    };

  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_trivial(_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(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }
# 444 "/usr/include/c++/7/bits/stl_algobase.h" 3
  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(__first), std::__miter_base(__last),
        __result));
    }
# 477 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a2<true>(std::__miter_base(__first),
           std::__miter_base(__last), __result);
    }

#define _GLIBCXX_MOVE3(_Tp,_Up,_Vp) std::move(_Tp, _Up, _Vp)




  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<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
   while (__first != __last)
     *--__result = std::move(*--__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<>
    struct __copy_move_backward<true, 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 = std::move(*--__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)
        {

   using __assignable = conditional<_IsMove,
        is_move_assignable<_Tp>,
        is_copy_assignable<_Tp>>;

   static_assert( __assignable::type::value, "type is not assignable" );

   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __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_trivial(_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(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }
# 620 "/usr/include/c++/7/bits/stl_algobase.h" 3
  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(__first), std::__miter_base(__last),
        __result));
    }
# 656 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return std::__copy_move_backward_a2<true>(std::__miter_base(__first),
      std::__miter_base(__last),
      __result);
    }

#define _GLIBCXX_MOVE_BACKWARD3(_Tp,_Up,_Vp) std::move_backward(_Tp, _Up, _Vp)




  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;
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }
# 722 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {

     

      ;

      std::__fill_a(std::__niter_base(__first), std::__niter_base(__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 (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, ++__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 (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, ++__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;
    }
# 782 "/usr/include/c++/7/bits/stl_algobase.h" 3
  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(__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, (void)++__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)
        {
   if (const size_t __len = (__last1 - __first1))
     return !__builtin_memcmp(__first1, __first2, sizeof(_Tp) * __len);
   return true;
 }
    };

  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<_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<typename _II1, typename _II2, typename _Compare>
    bool
    __lexicographical_compare_impl(_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, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  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)
      {
 return std::__lexicographical_compare_impl(__first1, __last1,
         __first2, __last2,
     __gnu_cxx::__ops::__iter_less_iter());
      }

  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;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = __builtin_memcmp(__first1, __first2, __len))
       return __result < 0;
   return __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);
    }

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);

      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 982 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

      return std::__lower_bound(__first, __last, __val,
    __gnu_cxx::__ops::__iter_less_val());
    }



  inline constexpr int
  __lg(int __n)
  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr unsigned
  __lg(unsigned __n)
  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr long
  __lg(long __n)
  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr unsigned long
  __lg(unsigned long __n)
  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr long long
  __lg(long long __n)
  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }

  inline constexpr unsigned long long
  __lg(unsigned long long __n)
  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }




# 1039 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {

     
     
     


      ;

      return std::__equal_aux(std::__niter_base(__first1),
         std::__niter_base(__last1),
         std::__niter_base(__first2));
    }
# 1071 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return true;
    }



#define __cpp_lib_robust_nonmodifying_seq_ops 201304
# 1104 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {

     
     
     


      ;
      ;

      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
   return std::equal(__first1, __last1, __first2);
 }

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!(*__first1 == *__first2))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }
# 1153 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_IIter1>::iterator_category;
      using _Cat2 = typename iterator_traits<_IIter2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
   return std::equal(__first1, __last1, __first2,
           __binary_pred);
 }

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }
# 1201 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(std::__niter_base(__first1),
      std::__niter_base(__last1),
      std::__niter_base(__first2),
      std::__niter_base(__last2));
    }
# 1237 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2, typename _Compare>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {

     
     
      ;
      ;

      return std::__lexicographical_compare_impl
 (__first1, __last1, __first2, __last2,
  __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
        {
   ++__first1;
   ++__first2;
        }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1280 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2)
    {

     
     
     


      ;

      return std::__mismatch(__first1, __last1, __first2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1313 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      return std::__mismatch(__first1, __last1, __first2,
 __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }



  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __first2 != __last2
      && __binary_pred(__first1, __first2))
        {
   ++__first1;
   ++__first2;
        }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1360 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1395 "/usr/include/c++/7/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }



}
# 40 "/usr/include/c++/7/bits/char_traits.h" 2 3
# 1 "/usr/include/c++/7/bits/postypes.h" 1 3
# 36 "/usr/include/c++/7/bits/postypes.h" 3
#define _GLIBCXX_POSTYPES_H 1

       
# 39 "/usr/include/c++/7/bits/postypes.h" 3

# 1 "/usr/include/c++/7/cwchar" 1 3
# 39 "/usr/include/c++/7/cwchar" 3
       
# 40 "/usr/include/c++/7/cwchar" 3




# 1 "/usr/include/wchar.h" 1 3 4
# 24 "/usr/include/wchar.h" 3 4
#define _WCHAR_H 1

#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION 
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 31 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
#undef __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION





#undef __GLIBC_USE_LIB_EXT2


#define __GLIBC_USE_LIB_EXT2 1






#undef __GLIBC_USE_IEC_60559_BFP_EXT

#define __GLIBC_USE_IEC_60559_BFP_EXT 1






#undef __GLIBC_USE_IEC_60559_FUNCS_EXT

#define __GLIBC_USE_IEC_60559_FUNCS_EXT 1






#undef __GLIBC_USE_IEC_60559_TYPES_EXT

#define __GLIBC_USE_IEC_60559_TYPES_EXT 1
# 28 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
#define _BITS_FLOATN_H 
# 33 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
#define __HAVE_FLOAT128 1







#define __HAVE_DISTINCT_FLOAT128 1







#define __HAVE_FLOAT64X 1





#define __HAVE_FLOAT64X_LONG_DOUBLE 1
# 64 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
#define __f128(x) x ##q
# 75 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef _Complex float __cfloat128 __attribute__ ((__mode__ (__TC__)));
#define __CFLOAT128 __cfloat128
# 87 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef __float128 _Float128;
# 120 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define _BITS_FLOATN_COMMON_H 


# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 2 3 4
# 34 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __HAVE_FLOAT16 0
#define __HAVE_FLOAT32 1
#define __HAVE_FLOAT64 1
#define __HAVE_FLOAT32X 1
#define __HAVE_FLOAT128X 0
# 52 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __HAVE_DISTINCT_FLOAT16 __HAVE_FLOAT16
#define __HAVE_DISTINCT_FLOAT32 0
#define __HAVE_DISTINCT_FLOAT64 0
#define __HAVE_DISTINCT_FLOAT32X 0
#define __HAVE_DISTINCT_FLOAT64X 0
#define __HAVE_DISTINCT_FLOAT128X __HAVE_FLOAT128X







#define __HAVE_FLOATN_NOT_TYPEDEF 0
# 84 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __f32(x) x ##f
# 95 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __f64(x) x
# 104 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __f32x(x) x
# 113 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __f64x(x) x ##l
# 142 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __CFLOAT32 _Complex float
# 153 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __CFLOAT64 _Complex double
# 162 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __CFLOAT32X _Complex double
# 171 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
#define __CFLOAT64X _Complex long double
# 207 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef float _Float32;
# 244 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float64;
# 261 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float32x;
# 278 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef long double _Float64x;
# 121 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 2 3 4
# 31 "/usr/include/wchar.h" 2 3 4

#define __need_size_t 
#define __need_wchar_t 
#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 36 "/usr/include/wchar.h" 2 3 4

#define __need___va_list 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stdarg.h" 1 3 4
# 34 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stdarg.h" 3 4
#undef __need___va_list




#define __GNUC_VA_LIST 
typedef __builtin_va_list __gnuc_va_list;
# 39 "/usr/include/wchar.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/wchar.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/wchar.h" 3 4
#define _BITS_WCHAR_H 1
# 34 "/usr/include/x86_64-linux-gnu/bits/wchar.h" 3 4
#define __WCHAR_MAX __WCHAR_MAX__







#define __WCHAR_MIN __WCHAR_MIN__
# 41 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/wint_t.h" 1 3 4

#define __wint_t_defined 1







#define _WINT_T 1
# 20 "/usr/include/x86_64-linux-gnu/bits/types/wint_t.h" 3 4
typedef unsigned int wint_t;
# 42 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/mbstate_t.h" 1 3 4

#define __mbstate_t_defined 1

# 1 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 1 3 4

#define ____mbstate_t_defined 1
# 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 3 4
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
# 5 "/usr/include/x86_64-linux-gnu/bits/types/mbstate_t.h" 2 3 4

typedef __mbstate_t mbstate_t;
# 43 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__FILE.h" 1 3 4

#define ____FILE_defined 1

struct _IO_FILE;
typedef struct _IO_FILE __FILE;
# 44 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/FILE.h" 1 3 4

#define __FILE_defined 1

struct _IO_FILE;


typedef struct _IO_FILE FILE;
# 47 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 3 4
#define _BITS_TYPES_LOCALE_T_H 1

# 1 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h" 3 4
#define _BITS_TYPES___LOCALE_T_H 1






struct __locale_struct
{

  struct __locale_data *__locales[13];


  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;


  const char *__names[13];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 2 3 4

typedef __locale_t locale_t;
# 50 "/usr/include/wchar.h" 2 3 4




#define __CORRECT_ISO_CPP_WCHAR_H_PROTO 




#define WCHAR_MIN __WCHAR_MIN
#define WCHAR_MAX __WCHAR_MAX



#define WEOF (0xffffffffu)
# 79 "/usr/include/wchar.h" 3 4
extern "C" {



struct tm;



extern wchar_t *wcscpy (wchar_t *__restrict __dest,
   const wchar_t *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern wchar_t *wcsncpy (wchar_t *__restrict __dest,
    const wchar_t *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern wchar_t *wcscat (wchar_t *__restrict __dest,
   const wchar_t *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern wchar_t *wcsncat (wchar_t *__restrict __dest,
    const wchar_t *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int wcscmp (const wchar_t *__s1, const wchar_t *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int wcsncmp (const wchar_t *__s1, const wchar_t *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern int wcscasecmp (const wchar_t *__s1, const wchar_t *__s2) throw ();


extern int wcsncasecmp (const wchar_t *__s1, const wchar_t *__s2,
   size_t __n) throw ();



extern int wcscasecmp_l (const wchar_t *__s1, const wchar_t *__s2,
    locale_t __loc) throw ();

extern int wcsncasecmp_l (const wchar_t *__s1, const wchar_t *__s2,
     size_t __n, locale_t __loc) throw ();




extern int wcscoll (const wchar_t *__s1, const wchar_t *__s2) throw ();



extern size_t wcsxfrm (wchar_t *__restrict __s1,
         const wchar_t *__restrict __s2, size_t __n) throw ();







extern int wcscoll_l (const wchar_t *__s1, const wchar_t *__s2,
        locale_t __loc) throw ();




extern size_t wcsxfrm_l (wchar_t *__s1, const wchar_t *__s2,
    size_t __n, locale_t __loc) throw ();


extern wchar_t *wcsdup (const wchar_t *__s) throw () __attribute__ ((__malloc__));




extern "C++" wchar_t *wcschr (wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcschr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcschr (const wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcschr") __attribute__ ((__pure__));






extern "C++" wchar_t *wcsrchr (wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcsrchr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcsrchr (const wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcsrchr") __attribute__ ((__pure__));
# 181 "/usr/include/wchar.h" 3 4
extern wchar_t *wcschrnul (const wchar_t *__s, wchar_t __wc)
     throw () __attribute__ ((__pure__));




extern size_t wcscspn (const wchar_t *__wcs, const wchar_t *__reject)
     throw () __attribute__ ((__pure__));


extern size_t wcsspn (const wchar_t *__wcs, const wchar_t *__accept)
     throw () __attribute__ ((__pure__));


extern "C++" wchar_t *wcspbrk (wchar_t *__wcs, const wchar_t *__accept)
     throw () __asm ("wcspbrk") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcspbrk (const wchar_t *__wcs,
         const wchar_t *__accept)
     throw () __asm ("wcspbrk") __attribute__ ((__pure__));






extern "C++" wchar_t *wcsstr (wchar_t *__haystack, const wchar_t *__needle)
     throw () __asm ("wcsstr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcsstr (const wchar_t *__haystack,
        const wchar_t *__needle)
     throw () __asm ("wcsstr") __attribute__ ((__pure__));






extern wchar_t *wcstok (wchar_t *__restrict __s,
   const wchar_t *__restrict __delim,
   wchar_t **__restrict __ptr) throw ();


extern size_t wcslen (const wchar_t *__s) throw () __attribute__ ((__pure__));




extern "C++" wchar_t *wcswcs (wchar_t *__haystack, const wchar_t *__needle)
     throw () __asm ("wcswcs") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcswcs (const wchar_t *__haystack,
        const wchar_t *__needle)
     throw () __asm ("wcswcs") __attribute__ ((__pure__));
# 240 "/usr/include/wchar.h" 3 4
extern size_t wcsnlen (const wchar_t *__s, size_t __maxlen)
     throw () __attribute__ ((__pure__));





extern "C++" wchar_t *wmemchr (wchar_t *__s, wchar_t __c, size_t __n)
     throw () __asm ("wmemchr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wmemchr (const wchar_t *__s, wchar_t __c,
         size_t __n)
     throw () __asm ("wmemchr") __attribute__ ((__pure__));






extern int wmemcmp (const wchar_t *__s1, const wchar_t *__s2, size_t __n)
     throw () __attribute__ ((__pure__));


extern wchar_t *wmemcpy (wchar_t *__restrict __s1,
    const wchar_t *__restrict __s2, size_t __n) throw ();



extern wchar_t *wmemmove (wchar_t *__s1, const wchar_t *__s2, size_t __n)
     throw ();


extern wchar_t *wmemset (wchar_t *__s, wchar_t __c, size_t __n) throw ();




extern wchar_t *wmempcpy (wchar_t *__restrict __s1,
     const wchar_t *__restrict __s2, size_t __n)
     throw ();





extern wint_t btowc (int __c) throw ();



extern int wctob (wint_t __c) throw ();



extern int mbsinit (const mbstate_t *__ps) throw () __attribute__ ((__pure__));



extern size_t mbrtowc (wchar_t *__restrict __pwc,
         const char *__restrict __s, size_t __n,
         mbstate_t *__restrict __p) throw ();


extern size_t wcrtomb (char *__restrict __s, wchar_t __wc,
         mbstate_t *__restrict __ps) throw ();


extern size_t __mbrlen (const char *__restrict __s, size_t __n,
   mbstate_t *__restrict __ps) throw ();
extern size_t mbrlen (const char *__restrict __s, size_t __n,
        mbstate_t *__restrict __ps) throw ();
# 337 "/usr/include/wchar.h" 3 4
extern size_t mbsrtowcs (wchar_t *__restrict __dst,
    const char **__restrict __src, size_t __len,
    mbstate_t *__restrict __ps) throw ();



extern size_t wcsrtombs (char *__restrict __dst,
    const wchar_t **__restrict __src, size_t __len,
    mbstate_t *__restrict __ps) throw ();





extern size_t mbsnrtowcs (wchar_t *__restrict __dst,
     const char **__restrict __src, size_t __nmc,
     size_t __len, mbstate_t *__restrict __ps) throw ();



extern size_t wcsnrtombs (char *__restrict __dst,
     const wchar_t **__restrict __src,
     size_t __nwc, size_t __len,
     mbstate_t *__restrict __ps) throw ();






extern int wcwidth (wchar_t __c) throw ();



extern int wcswidth (const wchar_t *__s, size_t __n) throw ();





extern double wcstod (const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr) throw ();



extern float wcstof (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();
extern long double wcstold (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();
# 396 "/usr/include/wchar.h" 3 4
extern _Float32 wcstof32 (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr) throw ();



extern _Float64 wcstof64 (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr) throw ();



extern _Float128 wcstof128 (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();



extern _Float32x wcstof32x (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();



extern _Float64x wcstof64x (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();
# 428 "/usr/include/wchar.h" 3 4
extern long int wcstol (const wchar_t *__restrict __nptr,
   wchar_t **__restrict __endptr, int __base) throw ();



extern unsigned long int wcstoul (const wchar_t *__restrict __nptr,
      wchar_t **__restrict __endptr, int __base)
     throw ();




__extension__
extern long long int wcstoll (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr, int __base)
     throw ();



__extension__
extern unsigned long long int wcstoull (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr,
     int __base) throw ();





__extension__
extern long long int wcstoq (const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr, int __base)
     throw ();



__extension__
extern unsigned long long int wcstouq (const wchar_t *__restrict __nptr,
           wchar_t **__restrict __endptr,
           int __base) throw ();






extern long int wcstol_l (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr, int __base,
     locale_t __loc) throw ();

extern unsigned long int wcstoul_l (const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr,
        int __base, locale_t __loc) throw ();

__extension__
extern long long int wcstoll_l (const wchar_t *__restrict __nptr,
    wchar_t **__restrict __endptr,
    int __base, locale_t __loc) throw ();

__extension__
extern unsigned long long int wcstoull_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       int __base, locale_t __loc)
     throw ();

extern double wcstod_l (const wchar_t *__restrict __nptr,
   wchar_t **__restrict __endptr, locale_t __loc)
     throw ();

extern float wcstof_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr, locale_t __loc)
     throw ();

extern long double wcstold_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();
# 511 "/usr/include/wchar.h" 3 4
extern _Float32 wcstof32_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       locale_t __loc) throw ();



extern _Float64 wcstof64_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       locale_t __loc) throw ();



extern _Float128 wcstof128_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();



extern _Float32x wcstof32x_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();



extern _Float64x wcstof64x_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();
# 551 "/usr/include/wchar.h" 3 4
extern wchar_t *wcpcpy (wchar_t *__restrict __dest,
   const wchar_t *__restrict __src) throw ();



extern wchar_t *wcpncpy (wchar_t *__restrict __dest,
    const wchar_t *__restrict __src, size_t __n)
     throw ();
# 567 "/usr/include/wchar.h" 3 4
extern __FILE *open_wmemstream (wchar_t **__bufloc, size_t *__sizeloc) throw ();





extern int fwide (__FILE *__fp, int __mode) throw ();






extern int fwprintf (__FILE *__restrict __stream,
       const wchar_t *__restrict __format, ...)
                                                           ;




extern int wprintf (const wchar_t *__restrict __format, ...)
                                                           ;

extern int swprintf (wchar_t *__restrict __s, size_t __n,
       const wchar_t *__restrict __format, ...)
     throw () ;





extern int vfwprintf (__FILE *__restrict __s,
        const wchar_t *__restrict __format,
        __gnuc_va_list __arg)
                                                           ;




extern int vwprintf (const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
                                                           ;


extern int vswprintf (wchar_t *__restrict __s, size_t __n,
        const wchar_t *__restrict __format,
        __gnuc_va_list __arg)
     throw () ;






extern int fwscanf (__FILE *__restrict __stream,
      const wchar_t *__restrict __format, ...)
                                                          ;




extern int wscanf (const wchar_t *__restrict __format, ...)
                                                          ;

extern int swscanf (const wchar_t *__restrict __s,
      const wchar_t *__restrict __format, ...)
     throw () ;
# 673 "/usr/include/wchar.h" 3 4
extern int vfwscanf (__FILE *__restrict __s,
       const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
                                                          ;




extern int vwscanf (const wchar_t *__restrict __format,
      __gnuc_va_list __arg)
                                                          ;

extern int vswscanf (const wchar_t *__restrict __s,
       const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
     throw () ;
# 727 "/usr/include/wchar.h" 3 4
extern wint_t fgetwc (__FILE *__stream);
extern wint_t getwc (__FILE *__stream);





extern wint_t getwchar (void);






extern wint_t fputwc (wchar_t __wc, __FILE *__stream);
extern wint_t putwc (wchar_t __wc, __FILE *__stream);





extern wint_t putwchar (wchar_t __wc);







extern wchar_t *fgetws (wchar_t *__restrict __ws, int __n,
   __FILE *__restrict __stream);





extern int fputws (const wchar_t *__restrict __ws,
     __FILE *__restrict __stream);






extern wint_t ungetwc (wint_t __wc, __FILE *__stream);
# 782 "/usr/include/wchar.h" 3 4
extern wint_t getwc_unlocked (__FILE *__stream);
extern wint_t getwchar_unlocked (void);







extern wint_t fgetwc_unlocked (__FILE *__stream);







extern wint_t fputwc_unlocked (wchar_t __wc, __FILE *__stream);
# 808 "/usr/include/wchar.h" 3 4
extern wint_t putwc_unlocked (wchar_t __wc, __FILE *__stream);
extern wint_t putwchar_unlocked (wchar_t __wc);
# 818 "/usr/include/wchar.h" 3 4
extern wchar_t *fgetws_unlocked (wchar_t *__restrict __ws, int __n,
     __FILE *__restrict __stream);







extern int fputws_unlocked (const wchar_t *__restrict __ws,
       __FILE *__restrict __stream);






extern size_t wcsftime (wchar_t *__restrict __s, size_t __maxsize,
   const wchar_t *__restrict __format,
   const struct tm *__restrict __tp) throw ();




extern size_t wcsftime_l (wchar_t *__restrict __s, size_t __maxsize,
     const wchar_t *__restrict __format,
     const struct tm *__restrict __tp,
     locale_t __loc) throw ();
# 857 "/usr/include/wchar.h" 3 4
}
# 45 "/usr/include/c++/7/cwchar" 2 3



#define _GLIBCXX_CWCHAR 1
# 62 "/usr/include/c++/7/cwchar" 3
namespace std
{
  using ::mbstate_t;
}


#undef btowc
#undef fgetwc
#undef fgetws
#undef fputwc
#undef fputws
#undef fwide
#undef fwprintf
#undef fwscanf
#undef getwc
#undef getwchar
#undef mbrlen
#undef mbrtowc
#undef mbsinit
#undef mbsrtowcs
#undef putwc
#undef putwchar
#undef swprintf
#undef swscanf
#undef ungetwc
#undef vfwprintf

#undef vfwscanf

#undef vswprintf

#undef vswscanf

#undef vwprintf

#undef vwscanf

#undef wcrtomb
#undef wcscat
#undef wcschr
#undef wcscmp
#undef wcscoll
#undef wcscpy
#undef wcscspn
#undef wcsftime
#undef wcslen
#undef wcsncat
#undef wcsncmp
#undef wcsncpy
#undef wcspbrk
#undef wcsrchr
#undef wcsrtombs
#undef wcsspn
#undef wcsstr
#undef wcstod

#undef wcstof

#undef wcstok
#undef wcstol
#undef wcstoul
#undef wcsxfrm
#undef wctob
#undef wmemchr
#undef wmemcmp
#undef wmemcpy
#undef wmemmove
#undef wmemset
#undef wprintf
#undef wscanf



namespace std __attribute__ ((__visibility__ ("default")))
{


  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;
  using ::wcspbrk;
  using ::wcsrchr;
  using ::wcsstr;
  using ::wmemchr;
# 232 "/usr/include/c++/7/cwchar" 3

}



#undef wcstold
#undef wcstoll
#undef wcstoull

namespace __gnu_cxx
{





  using ::wcstold;
# 257 "/usr/include/c++/7/cwchar" 3
  using ::wcstoll;
  using ::wcstoull;

}

namespace std
{
  using ::__gnu_cxx::wcstold;
  using ::__gnu_cxx::wcstoll;
  using ::__gnu_cxx::wcstoull;
}
# 277 "/usr/include/c++/7/cwchar" 3
namespace std
{

  using std::wcstof;


  using std::vfwscanf;


  using std::vswscanf;


  using std::vwscanf;



  using std::wcstold;
  using std::wcstoll;
  using std::wcstoull;

}
# 41 "/usr/include/c++/7/bits/postypes.h" 2 3
# 68 "/usr/include/c++/7/bits/postypes.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 88 "/usr/include/c++/7/bits/postypes.h" 3
  typedef long streamoff;
# 98 "/usr/include/c++/7/bits/postypes.h" 3
  typedef ptrdiff_t streamsize;
# 111 "/usr/include/c++/7/bits/postypes.h" 3
  template<typename _StateT>
    class fpos
    {
    private:
      streamoff _M_off;
      _StateT _M_state;

    public:




      fpos()
      : _M_off(0), _M_state() { }
# 133 "/usr/include/c++/7/bits/postypes.h" 3
      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;



  typedef fpos<mbstate_t> u16streampos;

  typedef fpos<mbstate_t> u32streampos;



}
# 41 "/usr/include/c++/7/bits/char_traits.h" 2 3
# 1 "/usr/include/c++/7/cwchar" 1 3
# 39 "/usr/include/c++/7/cwchar" 3
       
# 40 "/usr/include/c++/7/cwchar" 3
# 42 "/usr/include/c++/7/bits/char_traits.h" 2 3


#define _GLIBCXX_ALWAYS_INLINE inline __attribute__((__always_inline__))


namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 61 "/usr/include/c++/7/bits/char_traits.h" 3
  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;
    };
# 86 "/usr/include/c++/7/bits/char_traits.h" 3
  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 constexpr void
      assign(char_type& __c1, const char_type& __c2)
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2)
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2)
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, std::size_t __n);

      static constexpr std::size_t
      length(const char_type* __s);

      static constexpr 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 constexpr char_type
      to_char_type(const int_type& __c)
      { return static_cast<char_type>(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c)
      { return static_cast<int_type>(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2)
      { return __c1 == __c2; }

      static constexpr int_type
      eof()
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c)
      { return !eq_int_type(__c, eof()) ? __c : to_int_type(char_type()); }
    };

  template<typename _CharT>
    constexpr 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>
    constexpr 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>
    constexpr 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 __attribute__ ((__visibility__ ("default")))
{

# 268 "/usr/include/c++/7/bits/char_traits.h" 3
  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) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      {

 return (static_cast<unsigned char>(__c1)
  < static_cast<unsigned char>(__c2));
      }

      static int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {






 if (__n == 0)
   return 0;
 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)
      {






 if (__n == 0)
   return 0;
 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)
      {
 if (__n == 0)
   return __s1;
 return static_cast<char_type*>(__builtin_memmove(__s1, __s2, __n));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return static_cast<char_type*>(__builtin_memcpy(__s1, __s2, __n));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;
 return static_cast<char_type*>(__builtin_memset(__s, __a, __n));
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return static_cast<char_type>(__c); }



      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return static_cast<int_type>(static_cast<unsigned char>(__c)); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { 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) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {






 if (__n == 0)
   return 0;
 else
   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)
      {






 if (__n == 0)
   return 0;
 else
   return wmemchr(__s, __a, __n);
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return wmemmove(__s1, __s2, __n);
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return wmemcpy(__s1, __s2, __n);
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;
 return wmemset(__s, __a, __n);
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>((0xffffffffu)); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }
  };



}




# 1 "/usr/include/c++/7/cstdint" 1 3
# 30 "/usr/include/c++/7/cstdint" 3
#define _GLIBCXX_CSTDINT 1

       
# 33 "/usr/include/c++/7/cstdint" 3
# 41 "/usr/include/c++/7/cstdint" 3
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stdint.h" 1 3 4



#undef __STDC_LIMIT_MACROS
#define __STDC_LIMIT_MACROS 
#undef __STDC_CONSTANT_MACROS
#define __STDC_CONSTANT_MACROS 

# 1 "/usr/include/stdint.h" 1 3 4
# 23 "/usr/include/stdint.h" 3 4
#define _STDINT_H 1

#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION 
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 31 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
#undef __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION





#undef __GLIBC_USE_LIB_EXT2


#define __GLIBC_USE_LIB_EXT2 1






#undef __GLIBC_USE_IEC_60559_BFP_EXT

#define __GLIBC_USE_IEC_60559_BFP_EXT 1






#undef __GLIBC_USE_IEC_60559_FUNCS_EXT

#define __GLIBC_USE_IEC_60559_FUNCS_EXT 1






#undef __GLIBC_USE_IEC_60559_TYPES_EXT

#define __GLIBC_USE_IEC_60559_TYPES_EXT 1
# 27 "/usr/include/stdint.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
#define _BITS_TYPES_H 1


# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 28 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;


typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;

typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;







typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 98 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
#define __S16_TYPE short int
#define __U16_TYPE unsigned short int
#define __S32_TYPE int
#define __U32_TYPE unsigned int
#define __SLONGWORD_TYPE long int
#define __ULONGWORD_TYPE unsigned long int
# 117 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
#define __SQUAD_TYPE long int
#define __UQUAD_TYPE unsigned long int
#define __SWORD_TYPE long int
#define __UWORD_TYPE unsigned long int
#define __SLONG32_TYPE int
#define __ULONG32_TYPE unsigned int
#define __S64_TYPE long int
#define __U64_TYPE unsigned long int

#define __STD_TYPE typedef



# 1 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 3 4
#define _BITS_TYPESIZES_H 1
# 34 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 3 4
#define __SYSCALL_SLONG_TYPE __SLONGWORD_TYPE
#define __SYSCALL_ULONG_TYPE __ULONGWORD_TYPE


#define __DEV_T_TYPE __UQUAD_TYPE
#define __UID_T_TYPE __U32_TYPE
#define __GID_T_TYPE __U32_TYPE
#define __INO_T_TYPE __SYSCALL_ULONG_TYPE
#define __INO64_T_TYPE __UQUAD_TYPE
#define __MODE_T_TYPE __U32_TYPE

#define __NLINK_T_TYPE __SYSCALL_ULONG_TYPE
#define __FSWORD_T_TYPE __SYSCALL_SLONG_TYPE




#define __OFF_T_TYPE __SYSCALL_SLONG_TYPE
#define __OFF64_T_TYPE __SQUAD_TYPE
#define __PID_T_TYPE __S32_TYPE
#define __RLIM_T_TYPE __SYSCALL_ULONG_TYPE
#define __RLIM64_T_TYPE __UQUAD_TYPE
#define __BLKCNT_T_TYPE __SYSCALL_SLONG_TYPE
#define __BLKCNT64_T_TYPE __SQUAD_TYPE
#define __FSBLKCNT_T_TYPE __SYSCALL_ULONG_TYPE
#define __FSBLKCNT64_T_TYPE __UQUAD_TYPE
#define __FSFILCNT_T_TYPE __SYSCALL_ULONG_TYPE
#define __FSFILCNT64_T_TYPE __UQUAD_TYPE
#define __ID_T_TYPE __U32_TYPE
#define __CLOCK_T_TYPE __SYSCALL_SLONG_TYPE
#define __TIME_T_TYPE __SYSCALL_SLONG_TYPE
#define __USECONDS_T_TYPE __U32_TYPE
#define __SUSECONDS_T_TYPE __SYSCALL_SLONG_TYPE
#define __DADDR_T_TYPE __S32_TYPE
#define __KEY_T_TYPE __S32_TYPE
#define __CLOCKID_T_TYPE __S32_TYPE
#define __TIMER_T_TYPE void *
#define __BLKSIZE_T_TYPE __SYSCALL_SLONG_TYPE
#define __FSID_T_TYPE struct { int __val[2]; }
#define __SSIZE_T_TYPE __SWORD_TYPE
#define __CPU_MASK_TYPE __SYSCALL_ULONG_TYPE





#define __OFF_T_MATCHES_OFF64_T 1


#define __INO_T_MATCHES_INO64_T 1


#define __RLIM_T_MATCHES_RLIM64_T 1





#define __FD_SETSIZE 1024
# 131 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned long int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef long int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;


typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;

#undef __STD_TYPE
# 28 "/usr/include/stdint.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 30 "/usr/include/stdint.h" 2 3 4




# 1 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 3 4
#define _BITS_STDINT_INTN_H 1



typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 35 "/usr/include/stdint.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 3 4
#define _BITS_STDINT_UINTN_H 1



typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
# 38 "/usr/include/stdint.h" 2 3 4





typedef signed char int_least8_t;
typedef short int int_least16_t;
typedef int int_least32_t;

typedef long int int_least64_t;






typedef unsigned char uint_least8_t;
typedef unsigned short int uint_least16_t;
typedef unsigned int uint_least32_t;

typedef unsigned long int uint_least64_t;
# 68 "/usr/include/stdint.h" 3 4
typedef signed char int_fast8_t;

typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
# 81 "/usr/include/stdint.h" 3 4
typedef unsigned char uint_fast8_t;

typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
# 97 "/usr/include/stdint.h" 3 4
typedef long int intptr_t;
#define __intptr_t_defined 

typedef unsigned long int uintptr_t;
# 111 "/usr/include/stdint.h" 3 4
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;



#define __INT64_C(c) c ## L
#define __UINT64_C(c) c ## UL
# 126 "/usr/include/stdint.h" 3 4
#define INT8_MIN (-128)
#define INT16_MIN (-32767-1)
#define INT32_MIN (-2147483647-1)
#define INT64_MIN (-__INT64_C(9223372036854775807)-1)

#define INT8_MAX (127)
#define INT16_MAX (32767)
#define INT32_MAX (2147483647)
#define INT64_MAX (__INT64_C(9223372036854775807))


#define UINT8_MAX (255)
#define UINT16_MAX (65535)
#define UINT32_MAX (4294967295U)
#define UINT64_MAX (__UINT64_C(18446744073709551615))



#define INT_LEAST8_MIN (-128)
#define INT_LEAST16_MIN (-32767-1)
#define INT_LEAST32_MIN (-2147483647-1)
#define INT_LEAST64_MIN (-__INT64_C(9223372036854775807)-1)

#define INT_LEAST8_MAX (127)
#define INT_LEAST16_MAX (32767)
#define INT_LEAST32_MAX (2147483647)
#define INT_LEAST64_MAX (__INT64_C(9223372036854775807))


#define UINT_LEAST8_MAX (255)
#define UINT_LEAST16_MAX (65535)
#define UINT_LEAST32_MAX (4294967295U)
#define UINT_LEAST64_MAX (__UINT64_C(18446744073709551615))



#define INT_FAST8_MIN (-128)

#define INT_FAST16_MIN (-9223372036854775807L-1)
#define INT_FAST32_MIN (-9223372036854775807L-1)




#define INT_FAST64_MIN (-__INT64_C(9223372036854775807)-1)

#define INT_FAST8_MAX (127)

#define INT_FAST16_MAX (9223372036854775807L)
#define INT_FAST32_MAX (9223372036854775807L)




#define INT_FAST64_MAX (__INT64_C(9223372036854775807))


#define UINT_FAST8_MAX (255)

#define UINT_FAST16_MAX (18446744073709551615UL)
#define UINT_FAST32_MAX (18446744073709551615UL)




#define UINT_FAST64_MAX (__UINT64_C(18446744073709551615))




#define INTPTR_MIN (-9223372036854775807L-1)
#define INTPTR_MAX (9223372036854775807L)
#define UINTPTR_MAX (18446744073709551615UL)
# 207 "/usr/include/stdint.h" 3 4
#define INTMAX_MIN (-__INT64_C(9223372036854775807)-1)

#define INTMAX_MAX (__INT64_C(9223372036854775807))


#define UINTMAX_MAX (__UINT64_C(18446744073709551615))






#define PTRDIFF_MIN (-9223372036854775807L-1)
#define PTRDIFF_MAX (9223372036854775807L)
# 232 "/usr/include/stdint.h" 3 4
#define SIG_ATOMIC_MIN (-2147483647-1)
#define SIG_ATOMIC_MAX (2147483647)



#define SIZE_MAX (18446744073709551615UL)
# 254 "/usr/include/stdint.h" 3 4
#define WINT_MIN (0u)
#define WINT_MAX (4294967295u)


#define INT8_C(c) c
#define INT16_C(c) c
#define INT32_C(c) c

#define INT64_C(c) c ## L





#define UINT8_C(c) c
#define UINT16_C(c) c
#define UINT32_C(c) c ## U

#define UINT64_C(c) c ## UL






#define INTMAX_C(c) c ## L
#define UINTMAX_C(c) c ## UL







#define INT8_WIDTH 8
#define UINT8_WIDTH 8
#define INT16_WIDTH 16
#define UINT16_WIDTH 16
#define INT32_WIDTH 32
#define UINT32_WIDTH 32
#define INT64_WIDTH 64
#define UINT64_WIDTH 64

#define INT_LEAST8_WIDTH 8
#define UINT_LEAST8_WIDTH 8
#define INT_LEAST16_WIDTH 16
#define UINT_LEAST16_WIDTH 16
#define INT_LEAST32_WIDTH 32
#define UINT_LEAST32_WIDTH 32
#define INT_LEAST64_WIDTH 64
#define UINT_LEAST64_WIDTH 64

#define INT_FAST8_WIDTH 8
#define UINT_FAST8_WIDTH 8
#define INT_FAST16_WIDTH __WORDSIZE
#define UINT_FAST16_WIDTH __WORDSIZE
#define INT_FAST32_WIDTH __WORDSIZE
#define UINT_FAST32_WIDTH __WORDSIZE
#define INT_FAST64_WIDTH 64
#define UINT_FAST64_WIDTH 64

#define INTPTR_WIDTH __WORDSIZE
#define UINTPTR_WIDTH __WORDSIZE

#define INTMAX_WIDTH 64
#define UINTMAX_WIDTH 64

#define PTRDIFF_WIDTH __WORDSIZE
#define SIG_ATOMIC_WIDTH 32
#define SIZE_WIDTH __WORDSIZE
#define WCHAR_WIDTH 32
#define WINT_WIDTH 32
# 10 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stdint.h" 2 3 4



#define _GCC_WRAP_STDINT_H 
# 42 "/usr/include/c++/7/cstdint" 2 3




namespace std
{
  using ::int8_t;
  using ::int16_t;
  using ::int32_t;
  using ::int64_t;

  using ::int_fast8_t;
  using ::int_fast16_t;
  using ::int_fast32_t;
  using ::int_fast64_t;

  using ::int_least8_t;
  using ::int_least16_t;
  using ::int_least32_t;
  using ::int_least64_t;

  using ::intmax_t;
  using ::intptr_t;

  using ::uint8_t;
  using ::uint16_t;
  using ::uint32_t;
  using ::uint64_t;

  using ::uint_fast8_t;
  using ::uint_fast16_t;
  using ::uint_fast32_t;
  using ::uint_fast64_t;

  using ::uint_least8_t;
  using ::uint_least16_t;
  using ::uint_least32_t;
  using ::uint_least64_t;

  using ::uintmax_t;
  using ::uintptr_t;
}
# 502 "/usr/include/c++/7/bits/char_traits.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{


  template<>
    struct char_traits<char16_t>
    {
      typedef char16_t char_type;
      typedef uint_least16_t int_type;
      typedef streamoff off_type;
      typedef u16streampos pos_type;
      typedef mbstate_t state_type;

      static void
      assign(char_type& __c1, const char_type& __c2) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 for (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;
      }

      static size_t
      length(const char_type* __s)
      {
 size_t __i = 0;
 while (!eq(__s[__i], char_type()))
   ++__i;
 return __i;
      }

      static const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (eq(__s[__i], __a))
     return __s + __i;
 return 0;
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   assign(__s[__i], __a);
 return __s;
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }
    };

  template<>
    struct char_traits<char32_t>
    {
      typedef char32_t char_type;
      typedef uint_least32_t int_type;
      typedef streamoff off_type;
      typedef u32streampos pos_type;
      typedef mbstate_t state_type;

      static void
      assign(char_type& __c1, const char_type& __c2) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 for (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;
      }

      static size_t
      length(const char_type* __s)
      {
 size_t __i = 0;
 while (!eq(__s[__i], char_type()))
   ++__i;
 return __i;
      }

      static const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (eq(__s[__i], __a))
     return __s + __i;
 return 0;
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   assign(__s[__i], __a);
 return __s;
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }
    };


}
# 41 "/usr/include/c++/7/string" 2 3
# 1 "/usr/include/c++/7/bits/allocator.h" 1 3
# 44 "/usr/include/c++/7/bits/allocator.h" 3
#define _ALLOCATOR_H 1

# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++allocator.h" 1 3
# 31 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++allocator.h" 3
#define _GLIBCXX_CXX_ALLOCATOR_H 1

# 1 "/usr/include/c++/7/ext/new_allocator.h" 1 3
# 30 "/usr/include/c++/7/ext/new_allocator.h" 3
#define _NEW_ALLOCATOR_H 1
# 40 "/usr/include/c++/7/ext/new_allocator.h" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{


  using std::size_t;
  using std::ptrdiff_t;
# 57 "/usr/include/c++/7/ext/new_allocator.h" 3
  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; };




      typedef std::true_type propagate_on_container_move_assignment;


      new_allocator() noexcept { }

      new_allocator(const new_allocator&) noexcept { }

      template<typename _Tp1>
 new_allocator(const new_allocator<_Tp1>&) noexcept { }

      ~new_allocator() noexcept { }

      pointer
      address(reference __x) const noexcept
      { return std::__addressof(__x); }

      const_pointer
      address(const_reference __x) const noexcept
      { return std::__addressof(__x); }



      pointer
      allocate(size_type __n, const void* = static_cast<const void*>(0))
      {
 if (__n > this->max_size())
   std::__throw_bad_alloc();
# 111 "/usr/include/c++/7/ext/new_allocator.h" 3
 return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp)));
      }


      void
      deallocate(pointer __p, size_type)
      {







 ::operator delete(__p);
      }

      size_type
      max_size() const noexcept
      { return size_t(-1) / sizeof(_Tp); }


      template<typename _Up, typename... _Args>
 void
 construct(_Up* __p, _Args&&... __args)
 { ::new((void *)__p) _Up(std::forward<_Args>(__args)...); }

      template<typename _Up>
 void
 destroy(_Up* __p) { __p->~_Up(); }
# 151 "/usr/include/c++/7/ext/new_allocator.h" 3
    };

  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; }


}
# 34 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++allocator.h" 2 3


namespace std
{
# 47 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++allocator.h" 3
  template<typename _Tp>
    using __allocator_base = __gnu_cxx::new_allocator<_Tp>;
}
# 47 "/usr/include/c++/7/bits/allocator.h" 2 3





#define __cpp_lib_incomplete_container_elements 201505

#define __cpp_lib_allocator_is_always_equal 201411


namespace std __attribute__ ((__visibility__ ("default")))
{








  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; };




      typedef true_type propagate_on_container_move_assignment;

      typedef true_type is_always_equal;

      template<typename _Up, typename... _Args>
 void
 construct(_Up* __p, _Args&&... __args)
 { ::new((void *)__p) _Up(std::forward<_Args>(__args)...); }

      template<typename _Up>
 void
 destroy(_Up* __p) { __p->~_Up(); }

    };
# 107 "/usr/include/c++/7/bits/allocator.h" 3
  template<typename _Tp>
    class allocator: public __allocator_base<_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; };




      typedef true_type propagate_on_container_move_assignment;

      typedef true_type is_always_equal;


      allocator() throw() { }

      allocator(const allocator& __a) throw()
      : __allocator_base<_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>&)
    noexcept
    { return true; }

  template<typename _Tp>
    inline bool
    operator==(const allocator<_Tp>&, const allocator<_Tp>&)
    noexcept
    { return true; }

  template<typename _T1, typename _T2>
    inline bool
    operator!=(const allocator<_T1>&, const allocator<_T2>&)
    noexcept
    { return false; }

  template<typename _Tp>
    inline bool
    operator!=(const allocator<_Tp>&, const allocator<_Tp>&)
    noexcept
    { return false; }






  extern template class allocator<char>;
  extern template class allocator<wchar_t>;



#undef __allocator_base


  template<typename _Alloc, bool = __is_empty(_Alloc)>
    struct __alloc_swap
    { static void _S_do_it(_Alloc&, _Alloc&) noexcept { } };

  template<typename _Alloc>
    struct __alloc_swap<_Alloc, false>
    {
      static void
      _S_do_it(_Alloc& __one, _Alloc& __two) noexcept
      {

 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; }
    };


  template<typename _Tp, bool
    = __or_<is_copy_constructible<typename _Tp::value_type>,
            is_nothrow_move_constructible<typename _Tp::value_type>>::value>
    struct __shrink_to_fit_aux
    { static bool _S_do_it(_Tp&) noexcept { return false; } };

  template<typename _Tp>
    struct __shrink_to_fit_aux<_Tp, true>
    {
      static bool
      _S_do_it(_Tp& __c) noexcept
      {

 try
   {
     _Tp(__make_move_if_noexcept_iterator(__c.begin()),
  __make_move_if_noexcept_iterator(__c.end()),
  __c.get_allocator()).swap(__c);
     return true;
   }
 catch(...)
   { return false; }



      }
    };



}
# 42 "/usr/include/c++/7/string" 2 3

# 1 "/usr/include/c++/7/bits/localefwd.h" 1 3
# 35 "/usr/include/c++/7/bits/localefwd.h" 3
#define _LOCALE_FWD_H 1

       
# 38 "/usr/include/c++/7/bits/localefwd.h" 3


# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++locale.h" 1 3
# 37 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++locale.h" 3
#define _GLIBCXX_CXX_LOCALE_H 1

       
# 40 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++locale.h" 3

# 1 "/usr/include/c++/7/clocale" 1 3
# 39 "/usr/include/c++/7/clocale" 3
       
# 40 "/usr/include/c++/7/clocale" 3


# 1 "/usr/include/locale.h" 1 3 4
# 23 "/usr/include/locale.h" 3 4
#define _LOCALE_H 1



#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 29 "/usr/include/locale.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/locale.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/locale.h" 3 4
#define _BITS_LOCALE_H 1

#define __LC_CTYPE 0
#define __LC_NUMERIC 1
#define __LC_TIME 2
#define __LC_COLLATE 3
#define __LC_MONETARY 4
#define __LC_MESSAGES 5
#define __LC_ALL 6
#define __LC_PAPER 7
#define __LC_NAME 8
#define __LC_ADDRESS 9
#define __LC_TELEPHONE 10
#define __LC_MEASUREMENT 11
#define __LC_IDENTIFICATION 12
# 30 "/usr/include/locale.h" 2 3 4

extern "C" {



#define LC_CTYPE __LC_CTYPE
#define LC_NUMERIC __LC_NUMERIC
#define LC_TIME __LC_TIME
#define LC_COLLATE __LC_COLLATE
#define LC_MONETARY __LC_MONETARY
#define LC_MESSAGES __LC_MESSAGES
#define LC_ALL __LC_ALL
#define LC_PAPER __LC_PAPER
#define LC_NAME __LC_NAME
#define LC_ADDRESS __LC_ADDRESS
#define LC_TELEPHONE __LC_TELEPHONE
#define LC_MEASUREMENT __LC_MEASUREMENT
#define LC_IDENTIFICATION __LC_IDENTIFICATION



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_p_cs_precedes;

  char int_p_sep_by_space;

  char int_n_cs_precedes;

  char int_n_sep_by_space;






  char int_p_sign_posn;
  char int_n_sign_posn;
# 118 "/usr/include/locale.h" 3 4
};



extern char *setlocale (int __category, const char *__locale) throw ();


extern struct lconv *localeconv (void) throw ();
# 141 "/usr/include/locale.h" 3 4
extern locale_t newlocale (int __category_mask, const char *__locale,
      locale_t __base) throw ();





#define LC_CTYPE_MASK (1 << __LC_CTYPE)
#define LC_NUMERIC_MASK (1 << __LC_NUMERIC)
#define LC_TIME_MASK (1 << __LC_TIME)
#define LC_COLLATE_MASK (1 << __LC_COLLATE)
#define LC_MONETARY_MASK (1 << __LC_MONETARY)
#define LC_MESSAGES_MASK (1 << __LC_MESSAGES)
#define LC_PAPER_MASK (1 << __LC_PAPER)
#define LC_NAME_MASK (1 << __LC_NAME)
#define LC_ADDRESS_MASK (1 << __LC_ADDRESS)
#define LC_TELEPHONE_MASK (1 << __LC_TELEPHONE)
#define LC_MEASUREMENT_MASK (1 << __LC_MEASUREMENT)
#define LC_IDENTIFICATION_MASK (1 << __LC_IDENTIFICATION)
#define LC_ALL_MASK (LC_CTYPE_MASK | LC_NUMERIC_MASK | LC_TIME_MASK | LC_COLLATE_MASK | LC_MONETARY_MASK | LC_MESSAGES_MASK | LC_PAPER_MASK | LC_NAME_MASK | LC_ADDRESS_MASK | LC_TELEPHONE_MASK | LC_MEASUREMENT_MASK | LC_IDENTIFICATION_MASK )
# 176 "/usr/include/locale.h" 3 4
extern locale_t duplocale (locale_t __dataset) throw ();



extern void freelocale (locale_t __dataset) throw ();






extern locale_t uselocale (locale_t __dataset) throw ();



#define LC_GLOBAL_LOCALE ((locale_t) -1L)



}
# 43 "/usr/include/c++/7/clocale" 2 3


#define _GLIBCXX_CLOCALE 1


#undef setlocale
#undef localeconv

namespace std
{
  using ::lconv;
  using ::setlocale;
  using ::localeconv;
}
# 42 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++locale.h" 2 3

#define _GLIBCXX_C_LOCALE_GNU 1

#define _GLIBCXX_NUM_CATEGORIES 6


namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{


  extern "C" __typeof(uselocale) __uselocale;


}


namespace std __attribute__ ((__visibility__ ("default")))
{


  typedef __locale_t __c_locale;





  inline int
  __convert_from_v(const __c_locale& __cloc __attribute__ ((__unused__)),
     char* __out,
     const int __size __attribute__ ((__unused__)),
     const char* __fmt, ...)
  {

    __c_locale __old = __gnu_cxx::__uselocale(__cloc);
# 88 "/usr/include/x86_64-linux-gnu/c++/7/bits/c++locale.h" 3
    __builtin_va_list __args;
    __builtin_va_start(__args, __fmt);


    const int __ret = __builtin_vsnprintf(__out, __size, __fmt, __args);




    __builtin_va_end(__args);


    __gnu_cxx::__uselocale(__old);







    return __ret;
  }


}
# 41 "/usr/include/c++/7/bits/localefwd.h" 2 3
# 1 "/usr/include/c++/7/iosfwd" 1 3
# 34 "/usr/include/c++/7/iosfwd" 3
#define _GLIBCXX_IOSFWD 1

       
# 37 "/usr/include/c++/7/iosfwd" 3





namespace std __attribute__ ((__visibility__ ("default")))
{

# 74 "/usr/include/c++/7/iosfwd" 3
  class ios_base;

  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;


namespace __cxx11 {

  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;



  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;




}
# 42 "/usr/include/c++/7/bits/localefwd.h" 2 3
# 1 "/usr/include/c++/7/cctype" 1 3
# 39 "/usr/include/c++/7/cctype" 3
       
# 40 "/usr/include/c++/7/cctype" 3


# 1 "/usr/include/ctype.h" 1 3 4
# 23 "/usr/include/ctype.h" 3 4
#define _CTYPE_H 1




extern "C" {
# 39 "/usr/include/ctype.h" 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 19 "/usr/include/endian.h" 3 4
#define _ENDIAN_H 1
# 31 "/usr/include/endian.h" 3 4
#define __LITTLE_ENDIAN 1234
#define __BIG_ENDIAN 4321
#define __PDP_ENDIAN 3412


# 1 "/usr/include/x86_64-linux-gnu/bits/endian.h" 1 3 4






#define __BYTE_ORDER __LITTLE_ENDIAN
# 37 "/usr/include/endian.h" 2 3 4




#define __FLOAT_WORD_ORDER __BYTE_ORDER



#define LITTLE_ENDIAN __LITTLE_ENDIAN
#define BIG_ENDIAN __BIG_ENDIAN
#define PDP_ENDIAN __PDP_ENDIAN
#define BYTE_ORDER __BYTE_ORDER



#define __LONG_LONG_PAIR(HI,LO) LO, HI







# 1 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
#define _BITS_BYTESWAP_H 1



# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 29 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 2 3 4


#define __bswap_constant_16(x) ((unsigned short int) ((((x) >> 8) & 0xff) | (((x) & 0xff) << 8)))



# 1 "/usr/include/x86_64-linux-gnu/bits/byteswap-16.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/byteswap-16.h" 3 4
#define __bswap_16(x) (__extension__ ({ unsigned short int __v, __x = (unsigned short int) (x); if (__builtin_constant_p (__x)) __v = __bswap_constant_16 (__x); else __asm__ ("rorw $8, %w0" : "=r" (__v) : "0" (__x) : "cc"); __v; }))
# 36 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 2 3 4


#define __bswap_constant_32(x) ((((x) & 0xff000000) >> 24) | (((x) & 0x00ff0000) >> 8) | (((x) & 0x0000ff00) << 8) | (((x) & 0x000000ff) << 24))





static __inline unsigned int
__bswap_32 (unsigned int __bsx)
{
  return __builtin_bswap32 (__bsx);
}
# 97 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
#define __bswap_constant_64(x) (__extension__ ((((x) & 0xff00000000000000ull) >> 56) | (((x) & 0x00ff000000000000ull) >> 40) | (((x) & 0x0000ff0000000000ull) >> 24) | (((x) & 0x000000ff00000000ull) >> 8) | (((x) & 0x00000000ff000000ull) << 8) | (((x) & 0x0000000000ff0000ull) << 24) | (((x) & 0x000000000000ff00ull) << 40) | (((x) & 0x00000000000000ffull) << 56)))
# 108 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{
  return __builtin_bswap64 (__bsx);
}
# 61 "/usr/include/endian.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 3 4
#define _BITS_UINTN_IDENTITY_H 1







static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
  return __x;
}

static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
  return __x;
}

static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
  return __x;
}
# 62 "/usr/include/endian.h" 2 3 4


#define htobe16(x) __bswap_16 (x)
#define htole16(x) __uint16_identity (x)
#define be16toh(x) __bswap_16 (x)
#define le16toh(x) __uint16_identity (x)

#define htobe32(x) __bswap_32 (x)
#define htole32(x) __uint32_identity (x)
#define be32toh(x) __bswap_32 (x)
#define le32toh(x) __uint32_identity (x)

#define htobe64(x) __bswap_64 (x)
#define htole64(x) __uint64_identity (x)
#define be64toh(x) __bswap_64 (x)
#define le64toh(x) __uint64_identity (x)
# 40 "/usr/include/ctype.h" 2 3 4



#define _ISbit(bit) ((bit) < 8 ? ((1 << (bit)) << 8) : ((1 << (bit)) >> 8))


enum
{
  _ISupper = ((0) < 8 ? ((1 << (0)) << 8) : ((1 << (0)) >> 8)),
  _ISlower = ((1) < 8 ? ((1 << (1)) << 8) : ((1 << (1)) >> 8)),
  _ISalpha = ((2) < 8 ? ((1 << (2)) << 8) : ((1 << (2)) >> 8)),
  _ISdigit = ((3) < 8 ? ((1 << (3)) << 8) : ((1 << (3)) >> 8)),
  _ISxdigit = ((4) < 8 ? ((1 << (4)) << 8) : ((1 << (4)) >> 8)),
  _ISspace = ((5) < 8 ? ((1 << (5)) << 8) : ((1 << (5)) >> 8)),
  _ISprint = ((6) < 8 ? ((1 << (6)) << 8) : ((1 << (6)) >> 8)),
  _ISgraph = ((7) < 8 ? ((1 << (7)) << 8) : ((1 << (7)) >> 8)),
  _ISblank = ((8) < 8 ? ((1 << (8)) << 8) : ((1 << (8)) >> 8)),
  _IScntrl = ((9) < 8 ? ((1 << (9)) << 8) : ((1 << (9)) >> 8)),
  _ISpunct = ((10) < 8 ? ((1 << (10)) << 8) : ((1 << (10)) >> 8)),
  _ISalnum = ((11) < 8 ? ((1 << (11)) << 8) : ((1 << (11)) >> 8))
};
# 79 "/usr/include/ctype.h" 3 4
extern const unsigned short int **__ctype_b_loc (void)
     throw () __attribute__ ((__const__));
extern const __int32_t **__ctype_tolower_loc (void)
     throw () __attribute__ ((__const__));
extern const __int32_t **__ctype_toupper_loc (void)
     throw () __attribute__ ((__const__));
# 99 "/usr/include/ctype.h" 3 4
#define __isascii(c) (((c) & ~0x7f) == 0)
#define __toascii(c) ((c) & 0x7f)

#define __exctype(name) extern int name (int) __THROW





extern int isalnum (int) throw ();
extern int isalpha (int) throw ();
extern int iscntrl (int) throw ();
extern int isdigit (int) throw ();
extern int islower (int) throw ();
extern int isgraph (int) throw ();
extern int isprint (int) throw ();
extern int ispunct (int) throw ();
extern int isspace (int) throw ();
extern int isupper (int) throw ();
extern int isxdigit (int) throw ();



extern int tolower (int __c) throw ();


extern int toupper (int __c) throw ();




extern int isblank (int) throw ();




extern int isctype (int __c, int __mask) throw ();






extern int isascii (int __c) throw ();



extern int toascii (int __c) throw ();



extern int _toupper (int) throw ();
extern int _tolower (int) throw ();



#define __tobody(c,f,a,args) (__extension__ ({ int __res; if (sizeof (c) > 1) { if (__builtin_constant_p (c)) { int __c = (c); __res = __c < -128 || __c > 255 ? __c : (a)[__c]; } else __res = f args; } else __res = (a)[(int) (c)]; __res; }))
# 241 "/usr/include/ctype.h" 3 4
#define __isctype_l(c,type,locale) ((locale)->__ctype_b[(int) (c)] & (unsigned short int) type)


#define __exctype_l(name) extern int name (int, locale_t) __THROW






extern int isalnum_l (int, locale_t) throw ();
extern int isalpha_l (int, locale_t) throw ();
extern int iscntrl_l (int, locale_t) throw ();
extern int isdigit_l (int, locale_t) throw ();
extern int islower_l (int, locale_t) throw ();
extern int isgraph_l (int, locale_t) throw ();
extern int isprint_l (int, locale_t) throw ();
extern int ispunct_l (int, locale_t) throw ();
extern int isspace_l (int, locale_t) throw ();
extern int isupper_l (int, locale_t) throw ();
extern int isxdigit_l (int, locale_t) throw ();

extern int isblank_l (int, locale_t) throw ();



extern int __tolower_l (int __c, locale_t __l) throw ();
extern int tolower_l (int __c, locale_t __l) throw ();


extern int __toupper_l (int __c, locale_t __l) throw ();
extern int toupper_l (int __c, locale_t __l) throw ();
# 327 "/usr/include/ctype.h" 3 4
}
# 43 "/usr/include/c++/7/cctype" 2 3


#define _GLIBCXX_CCTYPE 1


#undef isalnum
#undef isalpha
#undef iscntrl
#undef isdigit
#undef isgraph
#undef islower
#undef isprint
#undef ispunct
#undef isspace
#undef isupper
#undef isxdigit
#undef tolower
#undef toupper

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;
}





#undef isblank

namespace std
{
  using ::isblank;
}
# 43 "/usr/include/c++/7/bits/localefwd.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 55 "/usr/include/c++/7/bits/localefwd.h" 3
  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>
    bool
    isblank(_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;

namespace __cxx11 {
  template<typename _CharT> class numpunct;
  template<typename _CharT> class numpunct_byname;
}

namespace __cxx11 {

  template<typename _CharT>
    class collate;
  template<typename _CharT>
    class collate_byname;
}


  class time_base;
namespace __cxx11 {
  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;
namespace __cxx11 {
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class money_get;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class money_put;
}
namespace __cxx11 {
  template<typename _CharT, bool _Intl = false>
    class moneypunct;
  template<typename _CharT, bool _Intl = false>
    class moneypunct_byname;
}


  class messages_base;
namespace __cxx11 {
  template<typename _CharT>
    class messages;
  template<typename _CharT>
    class messages_byname;
}


}
# 44 "/usr/include/c++/7/string" 2 3
# 1 "/usr/include/c++/7/bits/ostream_insert.h" 1 3
# 31 "/usr/include/c++/7/bits/ostream_insert.h" 3
#define _OSTREAM_INSERT_H 1

       
# 34 "/usr/include/c++/7/bits/ostream_insert.h" 3


# 1 "/usr/include/c++/7/bits/cxxabi_forced.h" 1 3
# 32 "/usr/include/c++/7/bits/cxxabi_forced.h" 3
#define _CXXABI_FORCED_H 1

       
# 35 "/usr/include/c++/7/bits/cxxabi_forced.h" 3

#pragma GCC visibility push(default)


namespace __cxxabiv1
{







  class __forced_unwind
  {
    virtual ~__forced_unwind() throw();


    virtual void __pure_dummy() = 0;
  };
}


#pragma GCC visibility pop
# 37 "/usr/include/c++/7/bits/ostream_insert.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{


  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);




}
# 45 "/usr/include/c++/7/string" 2 3



# 1 "/usr/include/c++/7/bits/stl_function.h" 1 3
# 57 "/usr/include/c++/7/bits/stl_function.h" 3
#define _STL_FUNCTION_H 1





namespace std __attribute__ ((__visibility__ ("default")))
{

# 104 "/usr/include/c++/7/bits/stl_function.h" 3
  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;
    };
# 144 "/usr/include/c++/7/bits/stl_function.h" 3
  struct __is_transparent;

  template<typename _Tp = void>
    struct plus;

  template<typename _Tp = void>
    struct minus;

  template<typename _Tp = void>
    struct multiplies;

  template<typename _Tp = void>
    struct divides;

  template<typename _Tp = void>
    struct modulus;

  template<typename _Tp = void>
    struct negate;



  template<typename _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };


  template<typename _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };


  template<typename _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };


  template<typename _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };


  template<typename _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };


  template<typename _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };



#define __cpp_lib_transparent_operators 201510

  template<>
    struct plus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) + std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) + std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) + std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct minus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) - std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) - std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) - std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct multiplies<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) * std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) * std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) * std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct divides<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) / std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) / std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) / std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct modulus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) % std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) % std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) % std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct negate<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(-std::forward<_Tp>(__t)))
 -> decltype(-std::forward<_Tp>(__t))
 { return -std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 330 "/usr/include/c++/7/bits/stl_function.h" 3
  template<typename _Tp = void>
    struct equal_to;

  template<typename _Tp = void>
    struct not_equal_to;

  template<typename _Tp = void>
    struct greater;

  template<typename _Tp = void>
    struct less;

  template<typename _Tp = void>
    struct greater_equal;

  template<typename _Tp = void>
    struct less_equal;



  template<typename _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      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>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };


  template<typename _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };


  template<typename _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };


  template<typename _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };


  template<typename _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };



  template<>
    struct equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) == std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) == std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) == std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct not_equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) != std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) != std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) != std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct greater<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) > std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) > std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) > std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct less<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) < std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) < std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) < std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct greater_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) >= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) >= std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) >= std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct less_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) <= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) <= std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) <= std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };
# 512 "/usr/include/c++/7/bits/stl_function.h" 3
  template<typename _Tp = void>
    struct logical_and;

  template<typename _Tp = void>
    struct logical_or;

  template<typename _Tp = void>
    struct logical_not;



  template<typename _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };


  template<typename _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };


  template<typename _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };



  template<>
    struct logical_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) && std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) && std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) && std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) || std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) || std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) || std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(!std::forward<_Tp>(__t)))
 -> decltype(!std::forward<_Tp>(__t))
 { return !std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };




  template<typename _Tp = void>
    struct bit_and;

  template<typename _Tp = void>
    struct bit_or;

  template<typename _Tp = void>
    struct bit_xor;

  template<typename _Tp = void>
    struct bit_not;




  template<typename _Tp>
    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x & __y; }
    };

  template<typename _Tp>
    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x | __y; }
    };

  template<typename _Tp>
    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x ^ __y; }
    };

  template<typename _Tp>
    struct bit_not : public unary_function<_Tp, _Tp>
    {
    constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return ~__x; }
    };


  template <>
    struct bit_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) & std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) & std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) & std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) | std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) | std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) | std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_xor<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) ^ std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(~std::forward<_Tp>(__t)))
 -> decltype(~std::forward<_Tp>(__t))
 { return ~std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 740 "/usr/include/c++/7/bits/stl_function.h" 3
  template<typename _Predicate>
    class unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

    public:
      constexpr
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };


  template<typename _Predicate>
    constexpr
    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:
      constexpr
      explicit
      binary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      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>
    constexpr
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
# 817 "/usr/include/c++/7/bits/stl_function.h" 3
  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 _Pair2>
        typename _Pair2::first_type&
        operator()(_Pair2& __x) const
        { return __x.first; }

      template<typename _Pair2>
        const typename _Pair2::first_type&
        operator()(const _Pair2& __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; }
    };
# 937 "/usr/include/c++/7/bits/stl_function.h" 3
  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); }




}


# 1 "/usr/include/c++/7/backward/binders.h" 1 3
# 57 "/usr/include/c++/7/backward/binders.h" 3
#define _BACKWARD_BINDERS_H 1


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

namespace std __attribute__ ((__visibility__ ("default")))
{

# 107 "/usr/include/c++/7/backward/binders.h" 3
  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); }
    } __attribute__ ((__deprecated__));


  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); }
    } __attribute__ ((__deprecated__));


  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));
    }



}

#pragma GCC diagnostic pop
# 1128 "/usr/include/c++/7/bits/stl_function.h" 2 3
# 49 "/usr/include/c++/7/string" 2 3


# 1 "/usr/include/c++/7/bits/range_access.h" 1 3
# 31 "/usr/include/c++/7/bits/range_access.h" 3
#define _GLIBCXX_RANGE_ACCESS_H 1

       
# 34 "/usr/include/c++/7/bits/range_access.h" 3



namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _Container>
    inline auto
    begin(_Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline auto
    begin(const _Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline auto
    end(_Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }






  template<typename _Container>
    inline auto
    end(const _Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }





  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    begin(_Tp (&__arr)[_Nm])
    { return __arr; }






  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    end(_Tp (&__arr)[_Nm])
    { return __arr + _Nm; }



  template<typename _Tp> class valarray;

  template<typename _Tp> _Tp* begin(valarray<_Tp>&);
  template<typename _Tp> const _Tp* begin(const valarray<_Tp>&);
  template<typename _Tp> _Tp* end(valarray<_Tp>&);
  template<typename _Tp> const _Tp* end(const valarray<_Tp>&);






  template<typename _Container>
    inline constexpr auto
    cbegin(const _Container& __cont) noexcept(noexcept(std::begin(__cont)))
      -> decltype(std::begin(__cont))
    { return std::begin(__cont); }






  template<typename _Container>
    inline constexpr auto
    cend(const _Container& __cont) noexcept(noexcept(std::end(__cont)))
      -> decltype(std::end(__cont))
    { return std::end(__cont); }






  template<typename _Container>
    inline auto
    rbegin(_Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline auto
    rbegin(const _Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline auto
    rend(_Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Container>
    inline auto
    rend(const _Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Tp, size_t _Nm>
    inline reverse_iterator<_Tp*>
    rbegin(_Tp (&__arr)[_Nm])
    { return reverse_iterator<_Tp*>(__arr + _Nm); }






  template<typename _Tp, size_t _Nm>
    inline reverse_iterator<_Tp*>
    rend(_Tp (&__arr)[_Nm])
    { return reverse_iterator<_Tp*>(__arr); }






  template<typename _Tp>
    inline reverse_iterator<const _Tp*>
    rbegin(initializer_list<_Tp> __il)
    { return reverse_iterator<const _Tp*>(__il.end()); }






  template<typename _Tp>
    inline reverse_iterator<const _Tp*>
    rend(initializer_list<_Tp> __il)
    { return reverse_iterator<const _Tp*>(__il.begin()); }






  template<typename _Container>
    inline auto
    crbegin(const _Container& __cont) -> decltype(std::rbegin(__cont))
    { return std::rbegin(__cont); }






  template<typename _Container>
    inline auto
    crend(const _Container& __cont) -> decltype(std::rend(__cont))
    { return std::rend(__cont); }
# 323 "/usr/include/c++/7/bits/range_access.h" 3

}
# 52 "/usr/include/c++/7/string" 2 3
# 1 "/usr/include/c++/7/bits/basic_string.h" 1 3
# 35 "/usr/include/c++/7/bits/basic_string.h" 3
#define _BASIC_STRING_H 1

       
# 38 "/usr/include/c++/7/bits/basic_string.h" 3

# 1 "/usr/include/c++/7/ext/atomicity.h" 1 3
# 30 "/usr/include/c++/7/ext/atomicity.h" 3
#define _GLIBCXX_ATOMICITY_H 1

       
# 33 "/usr/include/c++/7/ext/atomicity.h" 3


# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr.h" 1 3
# 27 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr.h" 3
#define _GLIBCXX_GCC_GTHR_H 


#pragma GCC visibility push(default)
# 145 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr.h" 3
#define _GLIBCXX_GTHREAD_USE_WEAK 1


# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 1 3
# 27 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
#define _GLIBCXX_GCC_GTHR_POSIX_H 




#define __GTHREADS 1
#define __GTHREADS_CXX0X 1

# 1 "/usr/include/pthread.h" 1 3 4
# 19 "/usr/include/pthread.h" 3 4
#define _PTHREAD_H 1



# 1 "/usr/include/sched.h" 1 3 4
# 20 "/usr/include/sched.h" 3 4
#define _SCHED_H 1






#define __need_size_t 
#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 30 "/usr/include/sched.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/types/time_t.h" 1 3 4

#define __time_t_defined 1




typedef __time_t time_t;
# 32 "/usr/include/sched.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 1 3 4

#define __timespec_defined 1





struct timespec
{
  __time_t tv_sec;
  __syscall_slong_t tv_nsec;
};
# 33 "/usr/include/sched.h" 2 3 4





typedef __pid_t pid_t;
#define __pid_t_defined 



# 1 "/usr/include/x86_64-linux-gnu/bits/sched.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/sched.h" 3 4
#define _BITS_SCHED_H 1






#define SCHED_OTHER 0
#define SCHED_FIFO 1
#define SCHED_RR 2

#define SCHED_BATCH 3
#define SCHED_ISO 4
#define SCHED_IDLE 5
#define SCHED_DEADLINE 6

#define SCHED_RESET_ON_FORK 0x40000000




#define CSIGNAL 0x000000ff
#define CLONE_VM 0x00000100
#define CLONE_FS 0x00000200
#define CLONE_FILES 0x00000400
#define CLONE_SIGHAND 0x00000800
#define CLONE_PTRACE 0x00002000
#define CLONE_VFORK 0x00004000

#define CLONE_PARENT 0x00008000

#define CLONE_THREAD 0x00010000
#define CLONE_NEWNS 0x00020000
#define CLONE_SYSVSEM 0x00040000
#define CLONE_SETTLS 0x00080000
#define CLONE_PARENT_SETTID 0x00100000

#define CLONE_CHILD_CLEARTID 0x00200000

#define CLONE_DETACHED 0x00400000
#define CLONE_UNTRACED 0x00800000

#define CLONE_CHILD_SETTID 0x01000000

#define CLONE_NEWCGROUP 0x02000000
#define CLONE_NEWUTS 0x04000000
#define CLONE_NEWIPC 0x08000000
#define CLONE_NEWUSER 0x10000000
#define CLONE_NEWPID 0x20000000
#define CLONE_NEWNET 0x40000000
#define CLONE_IO 0x80000000



struct sched_param
{
  int sched_priority;
};

extern "C" {



extern int clone (int (*__fn) (void *__arg), void *__child_stack,
    int __flags, void *__arg, ...) throw ();


extern int unshare (int __flags) throw ();


extern int sched_getcpu (void) throw ();


extern int setns (int __fd, int __nstype) throw ();


}
# 44 "/usr/include/sched.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 3 4
#define _BITS_CPU_SET_H 1






#define __CPU_SETSIZE 1024
#define __NCPUBITS (8 * sizeof (__cpu_mask))


typedef unsigned long int __cpu_mask;


#define __CPUELT(cpu) ((cpu) / __NCPUBITS)
#define __CPUMASK(cpu) ((__cpu_mask) 1 << ((cpu) % __NCPUBITS))


typedef struct
{
  __cpu_mask __bits[1024 / (8 * sizeof (__cpu_mask))];
} cpu_set_t;



#define __CPU_ZERO_S(setsize,cpusetp) do __builtin_memset (cpusetp, '\0', setsize); while (0)
# 58 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 3 4
#define __CPU_SET_S(cpu,setsize,cpusetp) (__extension__ ({ size_t __cpu = (cpu); __cpu / 8 < (setsize) ? (((__cpu_mask *) ((cpusetp)->__bits))[__CPUELT (__cpu)] |= __CPUMASK (__cpu)) : 0; }))






#define __CPU_CLR_S(cpu,setsize,cpusetp) (__extension__ ({ size_t __cpu = (cpu); __cpu / 8 < (setsize) ? (((__cpu_mask *) ((cpusetp)->__bits))[__CPUELT (__cpu)] &= ~__CPUMASK (__cpu)) : 0; }))






#define __CPU_ISSET_S(cpu,setsize,cpusetp) (__extension__ ({ size_t __cpu = (cpu); __cpu / 8 < (setsize) ? ((((const __cpu_mask *) ((cpusetp)->__bits))[__CPUELT (__cpu)] & __CPUMASK (__cpu))) != 0 : 0; }))







#define __CPU_COUNT_S(setsize,cpusetp) __sched_cpucount (setsize, cpusetp)



#define __CPU_EQUAL_S(setsize,cpusetp1,cpusetp2) (__builtin_memcmp (cpusetp1, cpusetp2, setsize) == 0)
# 99 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 3 4
#define __CPU_OP_S(setsize,destset,srcset1,srcset2,op) (__extension__ ({ cpu_set_t *__dest = (destset); const __cpu_mask *__arr1 = (srcset1)->__bits; const __cpu_mask *__arr2 = (srcset2)->__bits; size_t __imax = (setsize) / sizeof (__cpu_mask); size_t __i; for (__i = 0; __i < __imax; ++__i) ((__cpu_mask *) __dest->__bits)[__i] = __arr1[__i] op __arr2[__i]; __dest; }))
# 110 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 3 4
#define __CPU_ALLOC_SIZE(count) ((((count) + __NCPUBITS - 1) / __NCPUBITS) * sizeof (__cpu_mask))

#define __CPU_ALLOC(count) __sched_cpualloc (count)
#define __CPU_FREE(cpuset) __sched_cpufree (cpuset)

extern "C" {

extern int __sched_cpucount (size_t __setsize, const cpu_set_t *__setp)
     throw ();
extern cpu_set_t *__sched_cpualloc (size_t __count) throw () ;
extern void __sched_cpufree (cpu_set_t *__set) throw ();

}
# 45 "/usr/include/sched.h" 2 3 4


#define sched_priority sched_priority
#define __sched_priority sched_priority


extern "C" {


extern int sched_setparam (__pid_t __pid, const struct sched_param *__param)
     throw ();


extern int sched_getparam (__pid_t __pid, struct sched_param *__param) throw ();


extern int sched_setscheduler (__pid_t __pid, int __policy,
          const struct sched_param *__param) throw ();


extern int sched_getscheduler (__pid_t __pid) throw ();


extern int sched_yield (void) throw ();


extern int sched_get_priority_max (int __algorithm) throw ();


extern int sched_get_priority_min (int __algorithm) throw ();


extern int sched_rr_get_interval (__pid_t __pid, struct timespec *__t) throw ();




#define CPU_SETSIZE __CPU_SETSIZE
#define CPU_SET(cpu,cpusetp) __CPU_SET_S (cpu, sizeof (cpu_set_t), cpusetp)
#define CPU_CLR(cpu,cpusetp) __CPU_CLR_S (cpu, sizeof (cpu_set_t), cpusetp)
#define CPU_ISSET(cpu,cpusetp) __CPU_ISSET_S (cpu, sizeof (cpu_set_t), cpusetp)

#define CPU_ZERO(cpusetp) __CPU_ZERO_S (sizeof (cpu_set_t), cpusetp)
#define CPU_COUNT(cpusetp) __CPU_COUNT_S (sizeof (cpu_set_t), cpusetp)

#define CPU_SET_S(cpu,setsize,cpusetp) __CPU_SET_S (cpu, setsize, cpusetp)
#define CPU_CLR_S(cpu,setsize,cpusetp) __CPU_CLR_S (cpu, setsize, cpusetp)
#define CPU_ISSET_S(cpu,setsize,cpusetp) __CPU_ISSET_S (cpu, setsize, cpusetp)

#define CPU_ZERO_S(setsize,cpusetp) __CPU_ZERO_S (setsize, cpusetp)
#define CPU_COUNT_S(setsize,cpusetp) __CPU_COUNT_S (setsize, cpusetp)

#define CPU_EQUAL(cpusetp1,cpusetp2) __CPU_EQUAL_S (sizeof (cpu_set_t), cpusetp1, cpusetp2)

#define CPU_EQUAL_S(setsize,cpusetp1,cpusetp2) __CPU_EQUAL_S (setsize, cpusetp1, cpusetp2)


#define CPU_AND(destset,srcset1,srcset2) __CPU_OP_S (sizeof (cpu_set_t), destset, srcset1, srcset2, &)

#define CPU_OR(destset,srcset1,srcset2) __CPU_OP_S (sizeof (cpu_set_t), destset, srcset1, srcset2, |)

#define CPU_XOR(destset,srcset1,srcset2) __CPU_OP_S (sizeof (cpu_set_t), destset, srcset1, srcset2, ^)

#define CPU_AND_S(setsize,destset,srcset1,srcset2) __CPU_OP_S (setsize, destset, srcset1, srcset2, &)

#define CPU_OR_S(setsize,destset,srcset1,srcset2) __CPU_OP_S (setsize, destset, srcset1, srcset2, |)

#define CPU_XOR_S(setsize,destset,srcset1,srcset2) __CPU_OP_S (setsize, destset, srcset1, srcset2, ^)


#define CPU_ALLOC_SIZE(count) __CPU_ALLOC_SIZE (count)
#define CPU_ALLOC(count) __CPU_ALLOC (count)
#define CPU_FREE(cpuset) __CPU_FREE (cpuset)



extern int sched_setaffinity (__pid_t __pid, size_t __cpusetsize,
         const cpu_set_t *__cpuset) throw ();


extern int sched_getaffinity (__pid_t __pid, size_t __cpusetsize,
         cpu_set_t *__cpuset) throw ();


}
# 24 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/time.h" 1 3 4
# 23 "/usr/include/time.h" 3 4
#define _TIME_H 1



#define __need_size_t 
#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 30 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/time.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
#define _BITS_TIME_H 1
# 34 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
#define CLOCKS_PER_SEC ((__clock_t) 1000000)
# 46 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
#define CLOCK_REALTIME 0

#define CLOCK_MONOTONIC 1

#define CLOCK_PROCESS_CPUTIME_ID 2

#define CLOCK_THREAD_CPUTIME_ID 3

#define CLOCK_MONOTONIC_RAW 4

#define CLOCK_REALTIME_COARSE 5

#define CLOCK_MONOTONIC_COARSE 6

#define CLOCK_BOOTTIME 7

#define CLOCK_REALTIME_ALARM 8

#define CLOCK_BOOTTIME_ALARM 9

#define CLOCK_TAI 11


#define TIMER_ABSTIME 1



# 1 "/usr/include/x86_64-linux-gnu/bits/timex.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/timex.h" 3 4
#define _BITS_TIMEX_H 1


# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h" 1 3 4

#define __timeval_defined 1





struct timeval
{
  __time_t tv_sec;
  __suseconds_t tv_usec;
};
# 23 "/usr/include/x86_64-linux-gnu/bits/timex.h" 2 3 4



struct timex
{
  unsigned int modes;
  __syscall_slong_t offset;
  __syscall_slong_t freq;
  __syscall_slong_t maxerror;
  __syscall_slong_t esterror;
  int status;
  __syscall_slong_t constant;
  __syscall_slong_t precision;
  __syscall_slong_t tolerance;
  struct timeval time;
  __syscall_slong_t tick;
  __syscall_slong_t ppsfreq;
  __syscall_slong_t jitter;
  int shift;
  __syscall_slong_t stabil;
  __syscall_slong_t jitcnt;
  __syscall_slong_t calcnt;
  __syscall_slong_t errcnt;
  __syscall_slong_t stbcnt;

  int tai;


  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32;
};


#define ADJ_OFFSET 0x0001
#define ADJ_FREQUENCY 0x0002
#define ADJ_MAXERROR 0x0004
#define ADJ_ESTERROR 0x0008
#define ADJ_STATUS 0x0010
#define ADJ_TIMECONST 0x0020
#define ADJ_TAI 0x0080
#define ADJ_SETOFFSET 0x0100
#define ADJ_MICRO 0x1000
#define ADJ_NANO 0x2000
#define ADJ_TICK 0x4000
#define ADJ_OFFSET_SINGLESHOT 0x8001
#define ADJ_OFFSET_SS_READ 0xa001


#define MOD_OFFSET ADJ_OFFSET
#define MOD_FREQUENCY ADJ_FREQUENCY
#define MOD_MAXERROR ADJ_MAXERROR
#define MOD_ESTERROR ADJ_ESTERROR
#define MOD_STATUS ADJ_STATUS
#define MOD_TIMECONST ADJ_TIMECONST
#define MOD_CLKB ADJ_TICK
#define MOD_CLKA ADJ_OFFSET_SINGLESHOT
#define MOD_TAI ADJ_TAI
#define MOD_MICRO ADJ_MICRO
#define MOD_NANO ADJ_NANO



#define STA_PLL 0x0001
#define STA_PPSFREQ 0x0002
#define STA_PPSTIME 0x0004
#define STA_FLL 0x0008

#define STA_INS 0x0010
#define STA_DEL 0x0020
#define STA_UNSYNC 0x0040
#define STA_FREQHOLD 0x0080

#define STA_PPSSIGNAL 0x0100
#define STA_PPSJITTER 0x0200
#define STA_PPSWANDER 0x0400
#define STA_PPSERROR 0x0800

#define STA_CLOCKERR 0x1000
#define STA_NANO 0x2000
#define STA_MODE 0x4000
#define STA_CLK 0x8000


#define STA_RONLY (STA_PPSSIGNAL | STA_PPSJITTER | STA_PPSWANDER | STA_PPSERROR | STA_CLOCKERR | STA_NANO | STA_MODE | STA_CLK)
# 74 "/usr/include/x86_64-linux-gnu/bits/time.h" 2 3 4

extern "C" {


extern int clock_adjtime (__clockid_t __clock_id, struct timex *__utx) throw ();

}
# 34 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/clock_t.h" 1 3 4

#define __clock_t_defined 1




typedef __clock_t clock_t;
# 38 "/usr/include/time.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_tm.h" 1 3 4

#define __struct_tm_defined 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;


  long int tm_gmtoff;
  const char *tm_zone;




};
# 40 "/usr/include/time.h" 2 3 4






# 1 "/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h" 1 3 4

#define __clockid_t_defined 1




typedef __clockid_t clockid_t;
# 47 "/usr/include/time.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/timer_t.h" 1 3 4

#define __timer_t_defined 1




typedef __timer_t timer_t;
# 48 "/usr/include/time.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_itimerspec.h" 1 3 4

#define __itimerspec_defined 1





struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };
# 49 "/usr/include/time.h" 2 3 4
struct sigevent;
# 65 "/usr/include/time.h" 3 4
#define TIME_UTC 1


extern "C" {



extern clock_t clock (void) throw ();


extern time_t time (time_t *__timer) throw ();


extern double difftime (time_t __time1, time_t __time0)
     throw () __attribute__ ((__const__));


extern time_t mktime (struct tm *__tp) throw ();





extern size_t strftime (char *__restrict __s, size_t __maxsize,
   const char *__restrict __format,
   const struct tm *__restrict __tp) throw ();




extern char *strptime (const char *__restrict __s,
         const char *__restrict __fmt, struct tm *__tp)
     throw ();






extern size_t strftime_l (char *__restrict __s, size_t __maxsize,
     const char *__restrict __format,
     const struct tm *__restrict __tp,
     locale_t __loc) throw ();



extern char *strptime_l (const char *__restrict __s,
    const char *__restrict __fmt, struct tm *__tp,
    locale_t __loc) throw ();





extern struct tm *gmtime (const time_t *__timer) throw ();



extern struct tm *localtime (const time_t *__timer) throw ();




extern struct tm *gmtime_r (const time_t *__restrict __timer,
       struct tm *__restrict __tp) throw ();



extern struct tm *localtime_r (const time_t *__restrict __timer,
          struct tm *__restrict __tp) throw ();




extern char *asctime (const struct tm *__tp) throw ();


extern char *ctime (const time_t *__timer) throw ();






extern char *asctime_r (const struct tm *__restrict __tp,
   char *__restrict __buf) throw ();


extern char *ctime_r (const time_t *__restrict __timer,
        char *__restrict __buf) throw ();




extern char *__tzname[2];
extern int __daylight;
extern long int __timezone;




extern char *tzname[2];



extern void tzset (void) throw ();



extern int daylight;
extern long int timezone;





extern int stime (const time_t *__when) throw ();





#define __isleap(year) ((year) % 4 == 0 && ((year) % 100 != 0 || (year) % 400 == 0))
# 196 "/usr/include/time.h" 3 4
extern time_t timegm (struct tm *__tp) throw ();


extern time_t timelocal (struct tm *__tp) throw ();


extern int dysize (int __year) throw () __attribute__ ((__const__));
# 211 "/usr/include/time.h" 3 4
extern int nanosleep (const struct timespec *__requested_time,
        struct timespec *__remaining);



extern int clock_getres (clockid_t __clock_id, struct timespec *__res) throw ();


extern int clock_gettime (clockid_t __clock_id, struct timespec *__tp) throw ();


extern int clock_settime (clockid_t __clock_id, const struct timespec *__tp)
     throw ();






extern int clock_nanosleep (clockid_t __clock_id, int __flags,
       const struct timespec *__req,
       struct timespec *__rem);


extern int clock_getcpuclockid (pid_t __pid, clockid_t *__clock_id) throw ();




extern int timer_create (clockid_t __clock_id,
    struct sigevent *__restrict __evp,
    timer_t *__restrict __timerid) throw ();


extern int timer_delete (timer_t __timerid) throw ();


extern int timer_settime (timer_t __timerid, int __flags,
     const struct itimerspec *__restrict __value,
     struct itimerspec *__restrict __ovalue) throw ();


extern int timer_gettime (timer_t __timerid, struct itimerspec *__value)
     throw ();


extern int timer_getoverrun (timer_t __timerid) throw ();





extern int timespec_get (struct timespec *__ts, int __base)
     throw () __attribute__ ((__nonnull__ (1)));
# 280 "/usr/include/time.h" 3 4
extern int getdate_err;
# 289 "/usr/include/time.h" 3 4
extern struct tm *getdate (const char *__string);
# 303 "/usr/include/time.h" 3 4
extern int getdate_r (const char *__restrict __string,
        struct tm *__restrict __resbufp);


}
# 25 "/usr/include/pthread.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
#define _BITS_PTHREADTYPES_COMMON_H 1


# 1 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
#define _THREAD_SHARED_TYPES_H 1
# 77 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
#define _BITS_PTHREADTYPES_ARCH_H 1

# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 22 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 2 3 4



#define __SIZEOF_PTHREAD_MUTEX_T 40
#define __SIZEOF_PTHREAD_ATTR_T 56
#define __SIZEOF_PTHREAD_MUTEX_T 40
#define __SIZEOF_PTHREAD_RWLOCK_T 56
#define __SIZEOF_PTHREAD_BARRIER_T 32
# 44 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
#define __SIZEOF_PTHREAD_MUTEXATTR_T 4
#define __SIZEOF_PTHREAD_COND_T 48
#define __SIZEOF_PTHREAD_CONDATTR_T 4
#define __SIZEOF_PTHREAD_RWLOCKATTR_T 8
#define __SIZEOF_PTHREAD_BARRIERATTR_T 4


#define __PTHREAD_COMPAT_PADDING_MID 
#define __PTHREAD_COMPAT_PADDING_END 
#define __PTHREAD_MUTEX_LOCK_ELISION 1

#define __PTHREAD_MUTEX_NUSERS_AFTER_KIND 0
#define __PTHREAD_MUTEX_USE_UNION 0





#define __LOCK_ALIGNMENT 
#define __ONCE_ALIGNMENT 

struct __pthread_rwlock_arch_t
{
  unsigned int __readers;
  unsigned int __writers;
  unsigned int __wrphase_futex;
  unsigned int __writers_futex;
  unsigned int __pad3;
  unsigned int __pad4;

  int __cur_writer;
  int __shared;
  signed char __rwelision;




  unsigned char __pad1[7];
#define __PTHREAD_RWLOCK_ELISION_EXTRA 0, { 0, 0, 0, 0, 0, 0, 0 }

  unsigned long int __pad2;


  unsigned int __flags;
#define __PTHREAD_RWLOCK_INT_FLAGS_SHARED 1
# 99 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
};
# 78 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4




typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;
# 97 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
#define __PTHREAD_SPINS_DATA short __spins; short __elision


#define __PTHREAD_SPINS 0, 0
# 118 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
struct __pthread_mutex_s
{
  int __lock ;
  unsigned int __count;
  int __owner;

  unsigned int __nusers;



  int __kind;
 




  short __spins; short __elision;
  __pthread_list_t __list;
#define __PTHREAD_MUTEX_HAVE_PREV 1
# 145 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
 
};




struct __pthread_cond_s
{
  __extension__ union
  {
    __extension__ unsigned long long int __wseq;
    struct
    {
      unsigned int __low;
      unsigned int __high;
    } __wseq32;
  };
  __extension__ union
  {
    __extension__ unsigned long long int __g1_start;
    struct
    {
      unsigned int __low;
      unsigned int __high;
    } __g1_start32;
  };
  unsigned int __g_refs[2] ;
  unsigned int __g_size[2];
  unsigned int __g1_orig_size;
  unsigned int __wrefs;
  unsigned int __g_signals[2];
};
# 24 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 2 3 4



typedef unsigned long int pthread_t;




typedef union
{
  char __size[4];
  int __align;
} pthread_mutexattr_t;




typedef union
{
  char __size[4];
  int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;


union pthread_attr_t
{
  char __size[56];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;
#define __have_pthread_attr_t 1



typedef union
{
  struct __pthread_mutex_s __data;
  char __size[40];
  long int __align;
} pthread_mutex_t;


typedef union
{
  struct __pthread_cond_s __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;





typedef union
{
  struct __pthread_rwlock_arch_t __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;

typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;





typedef volatile int pthread_spinlock_t;




typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;

typedef union
{
  char __size[4];
  int __align;
} pthread_barrierattr_t;
# 27 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/setjmp.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/setjmp.h" 3 4
#define _BITS_SETJMP_H 1





# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 27 "/usr/include/x86_64-linux-gnu/bits/setjmp.h" 2 3 4




typedef long int __jmp_buf[8];
# 28 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 29 "/usr/include/pthread.h" 2 3 4




enum
{
  PTHREAD_CREATE_JOINABLE,
#define PTHREAD_CREATE_JOINABLE PTHREAD_CREATE_JOINABLE
  PTHREAD_CREATE_DETACHED
#define PTHREAD_CREATE_DETACHED PTHREAD_CREATE_DETACHED
};



enum
{
  PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_ADAPTIVE_NP

  ,
  PTHREAD_MUTEX_NORMAL = PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE = PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK = PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_DEFAULT = PTHREAD_MUTEX_NORMAL



  , PTHREAD_MUTEX_FAST_NP = PTHREAD_MUTEX_TIMED_NP

};




enum
{
  PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_STALLED_NP = PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_ROBUST,
  PTHREAD_MUTEX_ROBUST_NP = PTHREAD_MUTEX_ROBUST
};





enum
{
  PTHREAD_PRIO_NONE,
  PTHREAD_PRIO_INHERIT,
  PTHREAD_PRIO_PROTECT
};




#define PTHREAD_MUTEX_INITIALIZER { { 0, 0, 0, 0, 0, __PTHREAD_SPINS, { 0, 0 } } }


#define PTHREAD_RECURSIVE_MUTEX_INITIALIZER_NP { { 0, 0, 0, 0, PTHREAD_MUTEX_RECURSIVE_NP, __PTHREAD_SPINS, { 0, 0 } } }

#define PTHREAD_ERRORCHECK_MUTEX_INITIALIZER_NP { { 0, 0, 0, 0, PTHREAD_MUTEX_ERRORCHECK_NP, __PTHREAD_SPINS, { 0, 0 } } }

#define PTHREAD_ADAPTIVE_MUTEX_INITIALIZER_NP { { 0, 0, 0, 0, PTHREAD_MUTEX_ADAPTIVE_NP, __PTHREAD_SPINS, { 0, 0 } } }
# 115 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_RWLOCK_PREFER_READER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP,
  PTHREAD_RWLOCK_DEFAULT_NP = PTHREAD_RWLOCK_PREFER_READER_NP
};
# 133 "/usr/include/pthread.h" 3 4
#define PTHREAD_RWLOCK_INITIALIZER { { 0, 0, 0, 0, 0, 0, 0, 0, __PTHREAD_RWLOCK_ELISION_EXTRA, 0, 0 } }



#define PTHREAD_RWLOCK_WRITER_NONRECURSIVE_INITIALIZER_NP { { 0, 0, 0, 0, 0, 0, 0, 0, __PTHREAD_RWLOCK_ELISION_EXTRA, 0, PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP } }
# 156 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_INHERIT_SCHED,
#define PTHREAD_INHERIT_SCHED PTHREAD_INHERIT_SCHED
  PTHREAD_EXPLICIT_SCHED
#define PTHREAD_EXPLICIT_SCHED PTHREAD_EXPLICIT_SCHED
};



enum
{
  PTHREAD_SCOPE_SYSTEM,
#define PTHREAD_SCOPE_SYSTEM PTHREAD_SCOPE_SYSTEM
  PTHREAD_SCOPE_PROCESS
#define PTHREAD_SCOPE_PROCESS PTHREAD_SCOPE_PROCESS
};



enum
{
  PTHREAD_PROCESS_PRIVATE,
#define PTHREAD_PROCESS_PRIVATE PTHREAD_PROCESS_PRIVATE
  PTHREAD_PROCESS_SHARED
#define PTHREAD_PROCESS_SHARED PTHREAD_PROCESS_SHARED
};




#define PTHREAD_COND_INITIALIZER { { {0}, {0}, {0, 0}, {0, 0}, 0, 0, {0, 0} } }



struct _pthread_cleanup_buffer
{
  void (*__routine) (void *);
  void *__arg;
  int __canceltype;
  struct _pthread_cleanup_buffer *__prev;
};


enum
{
  PTHREAD_CANCEL_ENABLE,
#define PTHREAD_CANCEL_ENABLE PTHREAD_CANCEL_ENABLE
  PTHREAD_CANCEL_DISABLE
#define PTHREAD_CANCEL_DISABLE PTHREAD_CANCEL_DISABLE
};
enum
{
  PTHREAD_CANCEL_DEFERRED,
#define PTHREAD_CANCEL_DEFERRED PTHREAD_CANCEL_DEFERRED
  PTHREAD_CANCEL_ASYNCHRONOUS
#define PTHREAD_CANCEL_ASYNCHRONOUS PTHREAD_CANCEL_ASYNCHRONOUS
};
#define PTHREAD_CANCELED ((void *) -1)



#define PTHREAD_ONCE_INIT 0






#define PTHREAD_BARRIER_SERIAL_THREAD -1



extern "C" {




extern int pthread_create (pthread_t *__restrict __newthread,
      const pthread_attr_t *__restrict __attr,
      void *(*__start_routine) (void *),
      void *__restrict __arg) throw () __attribute__ ((__nonnull__ (1, 3)));





extern void pthread_exit (void *__retval) __attribute__ ((__noreturn__));







extern int pthread_join (pthread_t __th, void **__thread_return);




extern int pthread_tryjoin_np (pthread_t __th, void **__thread_return) throw ();







extern int pthread_timedjoin_np (pthread_t __th, void **__thread_return,
     const struct timespec *__abstime);






extern int pthread_detach (pthread_t __th) throw ();



extern pthread_t pthread_self (void) throw () __attribute__ ((__const__));


extern int pthread_equal (pthread_t __thread1, pthread_t __thread2)
  throw () __attribute__ ((__const__));







extern int pthread_attr_init (pthread_attr_t *__attr) throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_destroy (pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getdetachstate (const pthread_attr_t *__attr,
     int *__detachstate)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setdetachstate (pthread_attr_t *__attr,
     int __detachstate)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getguardsize (const pthread_attr_t *__attr,
          size_t *__guardsize)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setguardsize (pthread_attr_t *__attr,
          size_t __guardsize)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getschedparam (const pthread_attr_t *__restrict __attr,
           struct sched_param *__restrict __param)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setschedparam (pthread_attr_t *__restrict __attr,
           const struct sched_param *__restrict
           __param) throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_getschedpolicy (const pthread_attr_t *__restrict
     __attr, int *__restrict __policy)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setschedpolicy (pthread_attr_t *__attr, int __policy)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getinheritsched (const pthread_attr_t *__restrict
      __attr, int *__restrict __inherit)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setinheritsched (pthread_attr_t *__attr,
      int __inherit)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getscope (const pthread_attr_t *__restrict __attr,
      int *__restrict __scope)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setscope (pthread_attr_t *__attr, int __scope)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getstackaddr (const pthread_attr_t *__restrict
          __attr, void **__restrict __stackaddr)
     throw () __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__deprecated__));





extern int pthread_attr_setstackaddr (pthread_attr_t *__attr,
          void *__stackaddr)
     throw () __attribute__ ((__nonnull__ (1))) __attribute__ ((__deprecated__));


extern int pthread_attr_getstacksize (const pthread_attr_t *__restrict
          __attr, size_t *__restrict __stacksize)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern int pthread_attr_setstacksize (pthread_attr_t *__attr,
          size_t __stacksize)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getstack (const pthread_attr_t *__restrict __attr,
      void **__restrict __stackaddr,
      size_t *__restrict __stacksize)
     throw () __attribute__ ((__nonnull__ (1, 2, 3)));




extern int pthread_attr_setstack (pthread_attr_t *__attr, void *__stackaddr,
      size_t __stacksize) throw () __attribute__ ((__nonnull__ (1)));





extern int pthread_attr_setaffinity_np (pthread_attr_t *__attr,
     size_t __cpusetsize,
     const cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern int pthread_attr_getaffinity_np (const pthread_attr_t *__attr,
     size_t __cpusetsize,
     cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (1, 3)));


extern int pthread_getattr_default_np (pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_setattr_default_np (const pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));




extern int pthread_getattr_np (pthread_t __th, pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (2)));







extern int pthread_setschedparam (pthread_t __target_thread, int __policy,
      const struct sched_param *__param)
     throw () __attribute__ ((__nonnull__ (3)));


extern int pthread_getschedparam (pthread_t __target_thread,
      int *__restrict __policy,
      struct sched_param *__restrict __param)
     throw () __attribute__ ((__nonnull__ (2, 3)));


extern int pthread_setschedprio (pthread_t __target_thread, int __prio)
     throw ();




extern int pthread_getname_np (pthread_t __target_thread, char *__buf,
          size_t __buflen)
     throw () __attribute__ ((__nonnull__ (2)));


extern int pthread_setname_np (pthread_t __target_thread, const char *__name)
     throw () __attribute__ ((__nonnull__ (2)));





extern int pthread_getconcurrency (void) throw ();


extern int pthread_setconcurrency (int __level) throw ();







extern int pthread_yield (void) throw ();




extern int pthread_setaffinity_np (pthread_t __th, size_t __cpusetsize,
       const cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (3)));


extern int pthread_getaffinity_np (pthread_t __th, size_t __cpusetsize,
       cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (3)));
# 495 "/usr/include/pthread.h" 3 4
extern int pthread_once (pthread_once_t *__once_control,
    void (*__init_routine) (void)) __attribute__ ((__nonnull__ (1, 2)));
# 507 "/usr/include/pthread.h" 3 4
extern int pthread_setcancelstate (int __state, int *__oldstate);



extern int pthread_setcanceltype (int __type, int *__oldtype);


extern int pthread_cancel (pthread_t __th);




extern void pthread_testcancel (void);




typedef struct
{
  struct
  {
    __jmp_buf __cancel_jmp_buf;
    int __mask_was_saved;
  } __cancel_jmp_buf[1];
  void *__pad[4];
} __pthread_unwind_buf_t __attribute__ ((__aligned__));



#define __cleanup_fct_attribute 




struct __pthread_cleanup_frame
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;
};




class __pthread_cleanup_class
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;

 public:
  __pthread_cleanup_class (void (*__fct) (void *), void *__arg)
    : __cancel_routine (__fct), __cancel_arg (__arg), __do_it (1) { }
  ~__pthread_cleanup_class () { if (__do_it) __cancel_routine (__cancel_arg); }
  void __setdoit (int __newval) { __do_it = __newval; }
  void __defer () { pthread_setcanceltype (PTHREAD_CANCEL_DEFERRED,
        &__cancel_type); }
  void __restore () const { pthread_setcanceltype (__cancel_type, 0); }
};
# 576 "/usr/include/pthread.h" 3 4
#define pthread_cleanup_push(routine,arg) do { __pthread_cleanup_class __clframe (routine, arg)





#define pthread_cleanup_pop(execute) __clframe.__setdoit (execute); } while (0)







#define pthread_cleanup_push_defer_np(routine,arg) do { __pthread_cleanup_class __clframe (routine, arg); __clframe.__defer ()







#define pthread_cleanup_pop_restore_np(execute) __clframe.__restore (); __clframe.__setdoit (execute); } while (0)
# 743 "/usr/include/pthread.h" 3 4
struct __jmp_buf_tag;
extern int __sigsetjmp (struct __jmp_buf_tag *__env, int __savemask) throw ();





extern int pthread_mutex_init (pthread_mutex_t *__mutex,
          const pthread_mutexattr_t *__mutexattr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_destroy (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_trylock (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_lock (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_mutex_timedlock (pthread_mutex_t *__restrict __mutex,
        const struct timespec *__restrict
        __abstime) throw () __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutex_unlock (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_mutex_getprioceiling (const pthread_mutex_t *
      __restrict __mutex,
      int *__restrict __prioceiling)
     throw () __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutex_setprioceiling (pthread_mutex_t *__restrict __mutex,
      int __prioceiling,
      int *__restrict __old_ceiling)
     throw () __attribute__ ((__nonnull__ (1, 3)));




extern int pthread_mutex_consistent (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));

extern int pthread_mutex_consistent_np (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
# 807 "/usr/include/pthread.h" 3 4
extern int pthread_mutexattr_init (pthread_mutexattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_destroy (pthread_mutexattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_getpshared (const pthread_mutexattr_t *
      __restrict __attr,
      int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_setpshared (pthread_mutexattr_t *__attr,
      int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_gettype (const pthread_mutexattr_t *__restrict
          __attr, int *__restrict __kind)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern int pthread_mutexattr_settype (pthread_mutexattr_t *__attr, int __kind)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_getprotocol (const pthread_mutexattr_t *
       __restrict __attr,
       int *__restrict __protocol)
     throw () __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutexattr_setprotocol (pthread_mutexattr_t *__attr,
       int __protocol)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_getprioceiling (const pthread_mutexattr_t *
          __restrict __attr,
          int *__restrict __prioceiling)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_setprioceiling (pthread_mutexattr_t *__attr,
          int __prioceiling)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_getrobust (const pthread_mutexattr_t *__attr,
     int *__robustness)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern int pthread_mutexattr_getrobust_np (const pthread_mutexattr_t *__attr,
        int *__robustness)
     throw () __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutexattr_setrobust (pthread_mutexattr_t *__attr,
     int __robustness)
     throw () __attribute__ ((__nonnull__ (1)));

extern int pthread_mutexattr_setrobust_np (pthread_mutexattr_t *__attr,
        int __robustness)
     throw () __attribute__ ((__nonnull__ (1)));
# 889 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_init (pthread_rwlock_t *__restrict __rwlock,
    const pthread_rwlockattr_t *__restrict
    __attr) throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_destroy (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_rdlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_tryrdlock (pthread_rwlock_t *__rwlock)
  throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_rwlock_timedrdlock (pthread_rwlock_t *__restrict __rwlock,
           const struct timespec *__restrict
           __abstime) throw () __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_rwlock_wrlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_trywrlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_rwlock_timedwrlock (pthread_rwlock_t *__restrict __rwlock,
           const struct timespec *__restrict
           __abstime) throw () __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_rwlock_unlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));





extern int pthread_rwlockattr_init (pthread_rwlockattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_destroy (pthread_rwlockattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_getpshared (const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_rwlockattr_setpshared (pthread_rwlockattr_t *__attr,
       int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_getkind_np (const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pref)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_rwlockattr_setkind_np (pthread_rwlockattr_t *__attr,
       int __pref) throw () __attribute__ ((__nonnull__ (1)));







extern int pthread_cond_init (pthread_cond_t *__restrict __cond,
         const pthread_condattr_t *__restrict __cond_attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_destroy (pthread_cond_t *__cond)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_signal (pthread_cond_t *__cond)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_broadcast (pthread_cond_t *__cond)
     throw () __attribute__ ((__nonnull__ (1)));






extern int pthread_cond_wait (pthread_cond_t *__restrict __cond,
         pthread_mutex_t *__restrict __mutex)
     __attribute__ ((__nonnull__ (1, 2)));
# 1001 "/usr/include/pthread.h" 3 4
extern int pthread_cond_timedwait (pthread_cond_t *__restrict __cond,
       pthread_mutex_t *__restrict __mutex,
       const struct timespec *__restrict __abstime)
     __attribute__ ((__nonnull__ (1, 2, 3)));




extern int pthread_condattr_init (pthread_condattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_condattr_destroy (pthread_condattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_condattr_getpshared (const pthread_condattr_t *
     __restrict __attr,
     int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_condattr_setpshared (pthread_condattr_t *__attr,
     int __pshared) throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_condattr_getclock (const pthread_condattr_t *
          __restrict __attr,
          __clockid_t *__restrict __clock_id)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_condattr_setclock (pthread_condattr_t *__attr,
          __clockid_t __clock_id)
     throw () __attribute__ ((__nonnull__ (1)));
# 1045 "/usr/include/pthread.h" 3 4
extern int pthread_spin_init (pthread_spinlock_t *__lock, int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_destroy (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_lock (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_trylock (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_unlock (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));






extern int pthread_barrier_init (pthread_barrier_t *__restrict __barrier,
     const pthread_barrierattr_t *__restrict
     __attr, unsigned int __count)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_barrier_destroy (pthread_barrier_t *__barrier)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_barrier_wait (pthread_barrier_t *__barrier)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_barrierattr_init (pthread_barrierattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_barrierattr_destroy (pthread_barrierattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_barrierattr_getpshared (const pthread_barrierattr_t *
        __restrict __attr,
        int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_barrierattr_setpshared (pthread_barrierattr_t *__attr,
        int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));
# 1112 "/usr/include/pthread.h" 3 4
extern int pthread_key_create (pthread_key_t *__key,
          void (*__destr_function) (void *))
     throw () __attribute__ ((__nonnull__ (1)));


extern int pthread_key_delete (pthread_key_t __key) throw ();


extern void *pthread_getspecific (pthread_key_t __key) throw ();


extern int pthread_setspecific (pthread_key_t __key,
    const void *__pointer) throw () ;




extern int pthread_getcpuclockid (pthread_t __thread_id,
      __clockid_t *__clock_id)
     throw () __attribute__ ((__nonnull__ (2)));
# 1146 "/usr/include/pthread.h" 3 4
extern int pthread_atfork (void (*__prepare) (void),
      void (*__parent) (void),
      void (*__child) (void)) throw ();
# 1160 "/usr/include/pthread.h" 3 4
}
# 36 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 2 3
# 47 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
typedef pthread_t __gthread_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;
typedef struct timespec __gthread_time_t;



#define __GTHREAD_HAS_COND 1

#define __GTHREAD_MUTEX_INIT PTHREAD_MUTEX_INITIALIZER
#define __GTHREAD_MUTEX_INIT_FUNCTION __gthread_mutex_init_function
#define __GTHREAD_ONCE_INIT PTHREAD_ONCE_INIT



#define __GTHREAD_RECURSIVE_MUTEX_INIT PTHREAD_RECURSIVE_MUTEX_INITIALIZER_NP



#define __GTHREAD_COND_INIT PTHREAD_COND_INITIALIZER
#define __GTHREAD_TIME_INIT {0,0}
# 87 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
#define __gthrw_pragma(pragma) 

#define __gthrw2(name,name2,type) static __typeof(type) name __attribute__ ((__weakref__(#name2))); __gthrw_pragma(weak type)


#define __gthrw_(name) __gthrw_ ## name






#define __gthrw(name) __gthrw2(__gthrw_ ## name,name,name)

static __typeof(pthread_once) __gthrw_pthread_once __attribute__ ((__weakref__("pthread_once")));
static __typeof(pthread_getspecific) __gthrw_pthread_getspecific __attribute__ ((__weakref__("pthread_getspecific")));
static __typeof(pthread_setspecific) __gthrw_pthread_setspecific __attribute__ ((__weakref__("pthread_setspecific")));

static __typeof(pthread_create) __gthrw_pthread_create __attribute__ ((__weakref__("pthread_create")));
static __typeof(pthread_join) __gthrw_pthread_join __attribute__ ((__weakref__("pthread_join")));
static __typeof(pthread_equal) __gthrw_pthread_equal __attribute__ ((__weakref__("pthread_equal")));
static __typeof(pthread_self) __gthrw_pthread_self __attribute__ ((__weakref__("pthread_self")));
static __typeof(pthread_detach) __gthrw_pthread_detach __attribute__ ((__weakref__("pthread_detach")));

static __typeof(pthread_cancel) __gthrw_pthread_cancel __attribute__ ((__weakref__("pthread_cancel")));

static __typeof(sched_yield) __gthrw_sched_yield __attribute__ ((__weakref__("sched_yield")));

static __typeof(pthread_mutex_lock) __gthrw_pthread_mutex_lock __attribute__ ((__weakref__("pthread_mutex_lock")));
static __typeof(pthread_mutex_trylock) __gthrw_pthread_mutex_trylock __attribute__ ((__weakref__("pthread_mutex_trylock")));

static __typeof(pthread_mutex_timedlock) __gthrw_pthread_mutex_timedlock __attribute__ ((__weakref__("pthread_mutex_timedlock")));

static __typeof(pthread_mutex_unlock) __gthrw_pthread_mutex_unlock __attribute__ ((__weakref__("pthread_mutex_unlock")));
static __typeof(pthread_mutex_init) __gthrw_pthread_mutex_init __attribute__ ((__weakref__("pthread_mutex_init")));
static __typeof(pthread_mutex_destroy) __gthrw_pthread_mutex_destroy __attribute__ ((__weakref__("pthread_mutex_destroy")));

static __typeof(pthread_cond_init) __gthrw_pthread_cond_init __attribute__ ((__weakref__("pthread_cond_init")));
static __typeof(pthread_cond_broadcast) __gthrw_pthread_cond_broadcast __attribute__ ((__weakref__("pthread_cond_broadcast")));
static __typeof(pthread_cond_signal) __gthrw_pthread_cond_signal __attribute__ ((__weakref__("pthread_cond_signal")));
static __typeof(pthread_cond_wait) __gthrw_pthread_cond_wait __attribute__ ((__weakref__("pthread_cond_wait")));
static __typeof(pthread_cond_timedwait) __gthrw_pthread_cond_timedwait __attribute__ ((__weakref__("pthread_cond_timedwait")));
static __typeof(pthread_cond_destroy) __gthrw_pthread_cond_destroy __attribute__ ((__weakref__("pthread_cond_destroy")));

static __typeof(pthread_key_create) __gthrw_pthread_key_create __attribute__ ((__weakref__("pthread_key_create")));
static __typeof(pthread_key_delete) __gthrw_pthread_key_delete __attribute__ ((__weakref__("pthread_key_delete")));
static __typeof(pthread_mutexattr_init) __gthrw_pthread_mutexattr_init __attribute__ ((__weakref__("pthread_mutexattr_init")));
static __typeof(pthread_mutexattr_settype) __gthrw_pthread_mutexattr_settype __attribute__ ((__weakref__("pthread_mutexattr_settype")));
static __typeof(pthread_mutexattr_destroy) __gthrw_pthread_mutexattr_destroy __attribute__ ((__weakref__("pthread_mutexattr_destroy")));
# 236 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
static __typeof(pthread_key_create) __gthrw___pthread_key_create __attribute__ ((__weakref__("__pthread_key_create")));


#define GTHR_ACTIVE_PROXY __gthrw_(__pthread_key_create)






static inline int
__gthread_active_p (void)
{
  static void *const __gthread_active_ptr
    = __extension__ (void *) &__gthrw___pthread_key_create;
  return __gthread_active_ptr != 0;
}
# 658 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
static inline int
__gthread_create (__gthread_t *__threadid, void *(*__func) (void*),
    void *__args)
{
  return __gthrw_pthread_create (__threadid, __null, __func, __args);
}

static inline int
__gthread_join (__gthread_t __threadid, void **__value_ptr)
{
  return __gthrw_pthread_join (__threadid, __value_ptr);
}

static inline int
__gthread_detach (__gthread_t __threadid)
{
  return __gthrw_pthread_detach (__threadid);
}

static inline int
__gthread_equal (__gthread_t __t1, __gthread_t __t2)
{
  return __gthrw_pthread_equal (__t1, __t2);
}

static inline __gthread_t
__gthread_self (void)
{
  return __gthrw_pthread_self ();
}

static inline int
__gthread_yield (void)
{
  return __gthrw_sched_yield ();
}

static inline int
__gthread_once (__gthread_once_t *__once, void (*__func) (void))
{
  if (__gthread_active_p ())
    return __gthrw_pthread_once (__once, __func);
  else
    return -1;
}

static inline int
__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *))
{
  return __gthrw_pthread_key_create (__key, __dtor);
}

static inline int
__gthread_key_delete (__gthread_key_t __key)
{
  return __gthrw_pthread_key_delete (__key);
}

static inline void *
__gthread_getspecific (__gthread_key_t __key)
{
  return __gthrw_pthread_getspecific (__key);
}

static inline int
__gthread_setspecific (__gthread_key_t __key, const void *__ptr)
{
  return __gthrw_pthread_setspecific (__key, __ptr);
}

static inline void
__gthread_mutex_init_function (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    __gthrw_pthread_mutex_init (__mutex, __null);
}

static inline int
__gthread_mutex_destroy (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_destroy (__mutex);
  else
    return 0;
}

static inline int
__gthread_mutex_lock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_lock (__mutex);
  else
    return 0;
}

static inline int
__gthread_mutex_trylock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_trylock (__mutex);
  else
    return 0;
}


static inline int
__gthread_mutex_timedlock (__gthread_mutex_t *__mutex,
      const __gthread_time_t *__abs_timeout)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_timedlock (__mutex, __abs_timeout);
  else
    return 0;
}


static inline int
__gthread_mutex_unlock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_unlock (__mutex);
  else
    return 0;
}
# 807 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
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_timedlock (__gthread_recursive_mutex_t *__mutex,
         const __gthread_time_t *__abs_timeout)
{
  return __gthread_mutex_timedlock (__mutex, __abs_timeout);
}


static inline int
__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_unlock (__mutex);
}

static inline int
__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_destroy (__mutex);
}
# 849 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr-default.h" 3
static inline int
__gthread_cond_broadcast (__gthread_cond_t *__cond)
{
  return __gthrw_pthread_cond_broadcast (__cond);
}

static inline int
__gthread_cond_signal (__gthread_cond_t *__cond)
{
  return __gthrw_pthread_cond_signal (__cond);
}

static inline int
__gthread_cond_wait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex)
{
  return __gthrw_pthread_cond_wait (__cond, __mutex);
}

static inline int
__gthread_cond_timedwait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex,
     const __gthread_time_t *__abs_timeout)
{
  return __gthrw_pthread_cond_timedwait (__cond, __mutex, __abs_timeout);
}

static inline int
__gthread_cond_wait_recursive (__gthread_cond_t *__cond,
          __gthread_recursive_mutex_t *__mutex)
{
  return __gthread_cond_wait (__cond, __mutex);
}

static inline int
__gthread_cond_destroy (__gthread_cond_t* __cond)
{
  return __gthrw_pthread_cond_destroy (__cond);
}
# 149 "/usr/include/x86_64-linux-gnu/c++/7/bits/gthr.h" 2 3


#pragma GCC visibility pop
# 36 "/usr/include/c++/7/ext/atomicity.h" 2 3
# 1 "/usr/include/x86_64-linux-gnu/c++/7/bits/atomic_word.h" 1 3
# 30 "/usr/include/x86_64-linux-gnu/c++/7/bits/atomic_word.h" 3
#define _GLIBCXX_ATOMIC_WORD_H 1

typedef int _Atomic_word;



#define _GLIBCXX_READ_MEM_BARRIER __atomic_thread_fence (__ATOMIC_ACQUIRE)

#define _GLIBCXX_WRITE_MEM_BARRIER __atomic_thread_fence (__ATOMIC_RELEASE)
# 37 "/usr/include/c++/7/ext/atomicity.h" 2 3

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{







  static inline _Atomic_word
  __exchange_and_add(volatile _Atomic_word* __mem, int __val)
  { return __atomic_fetch_add(__mem, __val, 4); }

  static inline void
  __atomic_add(volatile _Atomic_word* __mem, int __val)
  { __atomic_fetch_add(__mem, __val, 4); }
# 64 "/usr/include/c++/7/ext/atomicity.h" 3
  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);



  }


}
# 40 "/usr/include/c++/7/bits/basic_string.h" 2 3
# 1 "/usr/include/c++/7/ext/alloc_traits.h" 1 3
# 30 "/usr/include/c++/7/ext/alloc_traits.h" 3
#define _EXT_ALLOC_TRAITS_H 1

       
# 33 "/usr/include/c++/7/ext/alloc_traits.h" 3



# 1 "/usr/include/c++/7/bits/alloc_traits.h" 1 3
# 31 "/usr/include/c++/7/bits/alloc_traits.h" 3
#define _ALLOC_TRAITS_H 1







#define __cpp_lib_allocator_traits_is_always_equal 201411

namespace std __attribute__ ((__visibility__ ("default")))
{


  struct __allocator_traits_base
  {
    template<typename _Tp, typename _Up, typename = void>
      struct __rebind : __replace_first_arg<_Tp, _Up> { };

    template<typename _Tp, typename _Up>
      struct __rebind<_Tp, _Up,
        __void_t<typename _Tp::template rebind<_Up>::other>>
      { using type = typename _Tp::template rebind<_Up>::other; };

  protected:
    template<typename _Tp>
      using __pointer = typename _Tp::pointer;
    template<typename _Tp>
      using __c_pointer = typename _Tp::const_pointer;
    template<typename _Tp>
      using __v_pointer = typename _Tp::void_pointer;
    template<typename _Tp>
      using __cv_pointer = typename _Tp::const_void_pointer;
    template<typename _Tp>
      using __pocca = typename _Tp::propagate_on_container_copy_assignment;
    template<typename _Tp>
      using __pocma = typename _Tp::propagate_on_container_move_assignment;
    template<typename _Tp>
      using __pocs = typename _Tp::propagate_on_container_swap;
    template<typename _Tp>
      using __equal = typename _Tp::is_always_equal;
  };

  template<typename _Alloc, typename _Up>
    using __alloc_rebind
      = typename __allocator_traits_base::template __rebind<_Alloc, _Up>::type;





  template<typename _Alloc>
    struct allocator_traits : __allocator_traits_base
    {

      typedef _Alloc allocator_type;

      typedef typename _Alloc::value_type value_type;






      using pointer = __detected_or_t<value_type*, __pointer, _Alloc>;

    private:

      template<template<typename> class _Func, typename _Tp, typename = void>
 struct _Ptr
 {
   using type = typename pointer_traits<pointer>::template rebind<_Tp>;
 };

      template<template<typename> class _Func, typename _Tp>
 struct _Ptr<_Func, _Tp, __void_t<_Func<_Alloc>>>
 {
   using type = _Func<_Alloc>;
 };


      template<typename _A2, typename _PtrT, typename = void>
 struct _Diff
 { using type = typename pointer_traits<_PtrT>::difference_type; };

      template<typename _A2, typename _PtrT>
 struct _Diff<_A2, _PtrT, __void_t<typename _A2::difference_type>>
 { using type = typename _A2::difference_type; };


      template<typename _A2, typename _DiffT, typename = void>
 struct _Size : make_unsigned<_DiffT> { };

      template<typename _A2, typename _DiffT>
 struct _Size<_A2, _DiffT, __void_t<typename _A2::size_type>>
 { using type = typename _A2::size_type; };

    public:






      using const_pointer = typename _Ptr<__c_pointer, const value_type>::type;







      using void_pointer = typename _Ptr<__v_pointer, void>::type;







      using const_void_pointer = typename _Ptr<__cv_pointer, const void>::type;







      using difference_type = typename _Diff<_Alloc, pointer>::type;







      using size_type = typename _Size<_Alloc, difference_type>::type;







      using propagate_on_container_copy_assignment
 = __detected_or_t<false_type, __pocca, _Alloc>;







      using propagate_on_container_move_assignment
 = __detected_or_t<false_type, __pocma, _Alloc>;







      using propagate_on_container_swap
 = __detected_or_t<false_type, __pocs, _Alloc>;







      using is_always_equal
 = __detected_or_t<typename is_empty<_Alloc>::type, __equal, _Alloc>;

      template<typename _Tp>
 using rebind_alloc = __alloc_rebind<_Alloc, _Tp>;
      template<typename _Tp>
 using rebind_traits = allocator_traits<rebind_alloc<_Tp>>;

    private:
      template<typename _Alloc2>
 static auto
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer __hint, int)
 -> decltype(__a.allocate(__n, __hint))
 { return __a.allocate(__n, __hint); }

      template<typename _Alloc2>
 static pointer
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer, ...)
 { return __a.allocate(__n); }

      template<typename _Tp, typename... _Args>
 struct __construct_helper
 {
   template<typename _Alloc2,
     typename = decltype(std::declval<_Alloc2*>()->construct(
    std::declval<_Tp*>(), std::declval<_Args>()...))>
     static true_type __test(int);

   template<typename>
     static false_type __test(...);

   using type = decltype(__test<_Alloc>(0));
 };

      template<typename _Tp, typename... _Args>
 using __has_construct
   = typename __construct_helper<_Tp, _Args...>::type;

      template<typename _Tp, typename... _Args>
 static _Require<__has_construct<_Tp, _Args...>>
 _S_construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 { __a.construct(__p, std::forward<_Args>(__args)...); }

      template<typename _Tp, typename... _Args>
 static
 _Require<__and_<__not_<__has_construct<_Tp, _Args...>>,
          is_constructible<_Tp, _Args...>>>
 _S_construct(_Alloc&, _Tp* __p, _Args&&... __args)
 { ::new((void*)__p) _Tp(std::forward<_Args>(__args)...); }

      template<typename _Alloc2, typename _Tp>
 static auto
 _S_destroy(_Alloc2& __a, _Tp* __p, int)
 -> decltype(__a.destroy(__p))
 { __a.destroy(__p); }

      template<typename _Alloc2, typename _Tp>
 static void
 _S_destroy(_Alloc2&, _Tp* __p, ...)
 { __p->~_Tp(); }

      template<typename _Alloc2>
 static auto
 _S_max_size(_Alloc2& __a, int)
 -> decltype(__a.max_size())
 { return __a.max_size(); }

      template<typename _Alloc2>
 static size_type
 _S_max_size(_Alloc2&, ...)
 {


   return __gnu_cxx::__numeric_traits<size_type>::__max
     / sizeof(value_type);
 }

      template<typename _Alloc2>
 static auto
 _S_select(_Alloc2& __a, int)
 -> decltype(__a.select_on_container_copy_construction())
 { return __a.select_on_container_copy_construction(); }

      template<typename _Alloc2>
 static _Alloc2
 _S_select(_Alloc2& __a, ...)
 { return __a; }

    public:
# 299 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static pointer
      allocate(_Alloc& __a, size_type __n)
      { return __a.allocate(__n); }
# 314 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static pointer
      allocate(_Alloc& __a, size_type __n, const_void_pointer __hint)
      { return _S_allocate(__a, __n, __hint, 0); }
# 326 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static void
      deallocate(_Alloc& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 341 "/usr/include/c++/7/bits/alloc_traits.h" 3
      template<typename _Tp, typename... _Args>
 static auto construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 -> decltype(_S_construct(__a, __p, std::forward<_Args>(__args)...))
 { _S_construct(__a, __p, std::forward<_Args>(__args)...); }
# 354 "/usr/include/c++/7/bits/alloc_traits.h" 3
      template<typename _Tp>
 static void destroy(_Alloc& __a, _Tp* __p)
 { _S_destroy(__a, __p, 0); }
# 366 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static size_type max_size(const _Alloc& __a) noexcept
      { return _S_max_size(__a, 0); }
# 377 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static _Alloc
      select_on_container_copy_construction(const _Alloc& __rhs)
      { return _S_select(__rhs, 0); }
    };


  template<typename _Tp>
    struct allocator_traits<allocator<_Tp>>
    {

      using allocator_type = allocator<_Tp>;

      using value_type = _Tp;


      using pointer = _Tp*;


      using const_pointer = const _Tp*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;


      using propagate_on_container_copy_assignment = false_type;


      using propagate_on_container_move_assignment = true_type;


      using propagate_on_container_swap = false_type;


      using is_always_equal = true_type;

      template<typename _Up>
 using rebind_alloc = allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<allocator<_Up>>;
# 434 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static pointer
      allocate(allocator_type& __a, size_type __n)
      { return __a.allocate(__n); }
# 448 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static pointer
      allocate(allocator_type& __a, size_type __n, const_void_pointer __hint)
      { return __a.allocate(__n, __hint); }
# 460 "/usr/include/c++/7/bits/alloc_traits.h" 3
      static void
      deallocate(allocator_type& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 472 "/usr/include/c++/7/bits/alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 static void
 construct(allocator_type& __a, _Up* __p, _Args&&... __args)
 { __a.construct(__p, std::forward<_Args>(__args)...); }
# 484 "/usr/include/c++/7/bits/alloc_traits.h" 3
      template<typename _Up>
 static void
 destroy(allocator_type& __a, _Up* __p)
 { __a.destroy(__p); }






      static size_type
      max_size(const allocator_type& __a) noexcept
      { return __a.max_size(); }






      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };


  template<typename _Alloc>
    inline void
    __do_alloc_on_copy(_Alloc& __one, const _Alloc& __two, true_type)
    { __one = __two; }

  template<typename _Alloc>
    inline void
    __do_alloc_on_copy(_Alloc&, const _Alloc&, false_type)
    { }

  template<typename _Alloc>
    inline void __alloc_on_copy(_Alloc& __one, const _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_copy_assignment __pocca;
      __do_alloc_on_copy(__one, __two, __pocca());
    }

  template<typename _Alloc>
    inline _Alloc __alloc_on_copy(const _Alloc& __a)
    {
      typedef allocator_traits<_Alloc> __traits;
      return __traits::select_on_container_copy_construction(__a);
    }

  template<typename _Alloc>
    inline void __do_alloc_on_move(_Alloc& __one, _Alloc& __two, true_type)
    { __one = std::move(__two); }

  template<typename _Alloc>
    inline void __do_alloc_on_move(_Alloc&, _Alloc&, false_type)
    { }

  template<typename _Alloc>
    inline void __alloc_on_move(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_move_assignment __pocma;
      __do_alloc_on_move(__one, __two, __pocma());
    }

  template<typename _Alloc>
    inline void __do_alloc_on_swap(_Alloc& __one, _Alloc& __two, true_type)
    {
      using std::swap;
      swap(__one, __two);
    }

  template<typename _Alloc>
    inline void __do_alloc_on_swap(_Alloc&, _Alloc&, false_type)
    { }

  template<typename _Alloc>
    inline void __alloc_on_swap(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_swap __pocs;
      __do_alloc_on_swap(__one, __two, __pocs());
    }

  template<typename _Alloc>
    class __is_copy_insertable_impl
    {
      typedef allocator_traits<_Alloc> _Traits;

      template<typename _Up, typename
        = decltype(_Traits::construct(std::declval<_Alloc&>(),
          std::declval<_Up*>(),
          std::declval<const _Up&>()))>
 static true_type
 _M_select(int);

      template<typename _Up>
 static false_type
 _M_select(...);

    public:
      typedef decltype(_M_select<typename _Alloc::value_type>(0)) type;
    };


  template<typename _Alloc>
    struct __is_copy_insertable
    : __is_copy_insertable_impl<_Alloc>::type
    { };


  template<typename _Tp>
    struct __is_copy_insertable<allocator<_Tp>>
    : is_copy_constructible<_Tp>
    { };


}
# 37 "/usr/include/c++/7/ext/alloc_traits.h" 2 3




namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{






template<typename _Alloc>
  struct __alloc_traits

  : std::allocator_traits<_Alloc>

  {
    typedef _Alloc allocator_type;

    typedef std::allocator_traits<_Alloc> _Base_type;
    typedef typename _Base_type::value_type value_type;
    typedef typename _Base_type::pointer pointer;
    typedef typename _Base_type::const_pointer const_pointer;
    typedef typename _Base_type::size_type size_type;
    typedef typename _Base_type::difference_type difference_type;

    typedef value_type& reference;
    typedef const value_type& const_reference;
    using _Base_type::allocate;
    using _Base_type::deallocate;
    using _Base_type::construct;
    using _Base_type::destroy;
    using _Base_type::max_size;

  private:
    template<typename _Ptr>
      using __is_custom_pointer
 = std::__and_<std::is_same<pointer, _Ptr>,
        std::__not_<std::is_pointer<_Ptr>>>;

  public:

    template<typename _Ptr, typename... _Args>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      construct(_Alloc& __a, _Ptr __p, _Args&&... __args)
      {
 _Base_type::construct(__a, std::addressof(*__p),
         std::forward<_Args>(__args)...);
      }


    template<typename _Ptr>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      destroy(_Alloc& __a, _Ptr __p)
      { _Base_type::destroy(__a, std::addressof(*__p)); }

    static _Alloc _S_select_on_copy(const _Alloc& __a)
    { return _Base_type::select_on_container_copy_construction(__a); }

    static void _S_on_swap(_Alloc& __a, _Alloc& __b)
    { std::__alloc_on_swap(__a, __b); }

    static constexpr bool _S_propagate_on_copy_assign()
    { return _Base_type::propagate_on_container_copy_assignment::value; }

    static constexpr bool _S_propagate_on_move_assign()
    { return _Base_type::propagate_on_container_move_assignment::value; }

    static constexpr bool _S_propagate_on_swap()
    { return _Base_type::propagate_on_container_swap::value; }

    static constexpr bool _S_always_equal()
    { return _Base_type::is_always_equal::value; }

    static constexpr bool _S_nothrow_move()
    { return _S_propagate_on_move_assign() || _S_always_equal(); }

    template<typename _Tp>
      struct rebind
      { typedef typename _Base_type::template rebind_alloc<_Tp> other; };
# 158 "/usr/include/c++/7/ext/alloc_traits.h" 3
  };


}
# 41 "/usr/include/c++/7/bits/basic_string.h" 2 3
# 52 "/usr/include/c++/7/bits/basic_string.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



namespace __cxx11 {
# 76 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    class basic_string
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_CharT>::other _Char_alloc_type;
      typedef __gnu_cxx::__alloc_traits<_Char_alloc_type> _Alloc_traits;


    public:
      typedef _Traits traits_type;
      typedef typename _Traits::char_type value_type;
      typedef _Char_alloc_type allocator_type;
      typedef typename _Alloc_traits::size_type size_type;
      typedef typename _Alloc_traits::difference_type difference_type;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;
      typedef typename _Alloc_traits::pointer pointer;
      typedef typename _Alloc_traits::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;


      static const size_type npos = static_cast<size_type>(-1);

    private:




      typedef const_iterator __const_iterator;
# 139 "/usr/include/c++/7/bits/basic_string.h" 3
      struct _Alloc_hider : allocator_type
      {




 _Alloc_hider(pointer __dat, const _Alloc& __a)
 : allocator_type(__a), _M_p(__dat) { }

 _Alloc_hider(pointer __dat, _Alloc&& __a = _Alloc())
 : allocator_type(std::move(__a)), _M_p(__dat) { }


 pointer _M_p;
      };

      _Alloc_hider _M_dataplus;
      size_type _M_string_length;

      enum { _S_local_capacity = 15 / sizeof(_CharT) };

      union
      {
 _CharT _M_local_buf[_S_local_capacity + 1];
 size_type _M_allocated_capacity;
      };

      void
      _M_data(pointer __p)
      { _M_dataplus._M_p = __p; }

      void
      _M_length(size_type __length)
      { _M_string_length = __length; }

      pointer
      _M_data() const
      { return _M_dataplus._M_p; }

      pointer
      _M_local_data()
      {

 return std::pointer_traits<pointer>::pointer_to(*_M_local_buf);



      }

      const_pointer
      _M_local_data() const
      {

 return std::pointer_traits<const_pointer>::pointer_to(*_M_local_buf);



      }

      void
      _M_capacity(size_type __capacity)
      { _M_allocated_capacity = __capacity; }

      void
      _M_set_length(size_type __n)
      {
 _M_length(__n);
 traits_type::assign(_M_data()[__n], _CharT());
      }

      bool
      _M_is_local() const
      { return _M_data() == _M_local_data(); }


      pointer
      _M_create(size_type&, size_type);

      void
      _M_dispose()
      {
 if (!_M_is_local())
   _M_destroy(_M_allocated_capacity);
      }

      void
      _M_destroy(size_type __size) throw()
      { _Alloc_traits::deallocate(_M_get_allocator(), _M_data(), __size + 1); }



      template<typename _InIterator>
        void
        _M_construct_aux(_InIterator __beg, _InIterator __end,
    std::__false_type)
 {
          typedef typename iterator_traits<_InIterator>::iterator_category _Tag;
          _M_construct(__beg, __end, _Tag());
 }



      template<typename _Integer>
        void
        _M_construct_aux(_Integer __beg, _Integer __end, std::__true_type)
 { _M_construct_aux_2(static_cast<size_type>(__beg), __end); }

      void
      _M_construct_aux_2(size_type __req, _CharT __c)
      { _M_construct(__req, __c); }

      template<typename _InIterator>
        void
        _M_construct(_InIterator __beg, _InIterator __end)
 {
   typedef typename std::__is_integer<_InIterator>::__type _Integral;
   _M_construct_aux(__beg, __end, _Integral());
        }


      template<typename _InIterator>
        void
        _M_construct(_InIterator __beg, _InIterator __end,
       std::input_iterator_tag);



      template<typename _FwdIterator>
        void
        _M_construct(_FwdIterator __beg, _FwdIterator __end,
       std::forward_iterator_tag);

      void
      _M_construct(size_type __req, _CharT __c);

      allocator_type&
      _M_get_allocator()
      { return _M_dataplus; }

      const allocator_type&
      _M_get_allocator() const
      { return _M_dataplus; }

    private:
# 298 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      _M_check(size_type __pos, const char* __s) const
      {
 if (__pos > this->size())
   __throw_out_of_range_fmt(("%s: __pos (which is %zu) > " "this->size() (which is %zu)")
                                         ,
       __s, __pos, this->size());
 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 noexcept
      {
 const bool __testoff = __off < this->size() - __pos;
 return __testoff ? __off : this->size() - __pos;
      }


      bool
      _M_disjunct(const _CharT* __s) const noexcept
      {
 return (less<const _CharT*>()(__s, _M_data())
  || less<const _CharT*>()(_M_data() + this->size(), __s));
      }



      static void
      _S_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
      _S_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
      _S_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, (void)++__p)
     traits_type::assign(*__p, *__k1);
 }

      static void
      _S_copy_chars(_CharT* __p, iterator __k1, iterator __k2) noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

      static void
      _S_copy_chars(_CharT* __p, const_iterator __k1, const_iterator __k2)
      noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

      static void
      _S_copy_chars(_CharT* __p, _CharT* __k1, _CharT* __k2) noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

      static void
      _S_copy_chars(_CharT* __p, const _CharT* __k1, const _CharT* __k2)
      noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

      static int
      _S_compare(size_type __n1, size_type __n2) noexcept
      {
 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_assign(const basic_string&);

      void
      _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
  size_type __len2);

      void
      _M_erase(size_type __pos, size_type __n);

    public:







      basic_string()
      noexcept(is_nothrow_default_constructible<_Alloc>::value)
      : _M_dataplus(_M_local_data())
      { _M_set_length(0); }




      explicit
      basic_string(const _Alloc& __a) noexcept
      : _M_dataplus(_M_local_data(), __a)
      { _M_set_length(0); }





      basic_string(const basic_string& __str)
      : _M_dataplus(_M_local_data(),
      _Alloc_traits::_S_select_on_copy(__str._M_get_allocator()))
      { _M_construct(__str._M_data(), __str._M_data() + __str.length()); }
# 450 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string(const basic_string& __str, size_type __pos,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, npos));
      }







      basic_string(const basic_string& __str, size_type __pos,
     size_type __n)
      : _M_dataplus(_M_local_data())
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n));
      }
# 481 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string(const basic_string& __str, size_type __pos,
     size_type __n, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start
   = __str._M_data() + __str._M_check(__pos, "string::string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n));
      }
# 499 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string(const _CharT* __s, size_type __n,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__s, __s + __n); }






      basic_string(const _CharT* __s, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__s, __s ? __s + traits_type::length(__s) : __s+npos); }







      basic_string(size_type __n, _CharT __c, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__n, __c); }
# 531 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string(basic_string&& __str) noexcept
      : _M_dataplus(_M_local_data(), std::move(__str._M_get_allocator()))
      {
 if (__str._M_is_local())
   {
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         _S_local_capacity + 1);
   }
 else
   {
     _M_data(__str._M_data());
     _M_capacity(__str._M_allocated_capacity);
   }




 _M_length(__str.length());
 __str._M_data(__str._M_local_data());
 __str._M_set_length(0);
      }






      basic_string(initializer_list<_CharT> __l, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__l.begin(), __l.end()); }

      basic_string(const basic_string& __str, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__str.begin(), __str.end()); }

      basic_string(basic_string&& __str, const _Alloc& __a)
      noexcept(_Alloc_traits::_S_always_equal())
      : _M_dataplus(_M_local_data(), __a)
      {
 if (__str._M_is_local())
   {
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         _S_local_capacity + 1);
     _M_length(__str.length());
     __str._M_set_length(0);
   }
 else if (_Alloc_traits::_S_always_equal()
     || __str.get_allocator() == __a)
   {
     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     __str._M_data(__str._M_local_buf);
     __str._M_set_length(0);
   }
 else
   _M_construct(__str.begin(), __str.end());
      }
# 599 "/usr/include/c++/7/bits/basic_string.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string(_InputIterator __beg, _InputIterator __end,
       const _Alloc& __a = _Alloc())
 : _M_dataplus(_M_local_data(), __a)
 { _M_construct(__beg, __end); }
# 646 "/usr/include/c++/7/bits/basic_string.h" 3
      ~basic_string()
      { _M_dispose(); }





      basic_string&
      operator=(const basic_string& __str)
      {

 if (_Alloc_traits::_S_propagate_on_copy_assign())
   {
     if (!_Alloc_traits::_S_always_equal() && !_M_is_local()
  && _M_get_allocator() != __str._M_get_allocator())
       {


  if (__str.size() <= _S_local_capacity)
    {
      _M_destroy(_M_allocated_capacity);
      _M_data(_M_local_data());
      _M_set_length(0);
    }
  else
    {
      const auto __len = __str.size();
      auto __alloc = __str._M_get_allocator();

      auto __ptr = _Alloc_traits::allocate(__alloc, __len + 1);
      _M_destroy(_M_allocated_capacity);
      _M_data(__ptr);
      _M_capacity(__len);
      _M_set_length(__len);
    }
       }
     std::__alloc_on_copy(_M_get_allocator(), __str._M_get_allocator());
   }

 return this->assign(__str);
      }





      basic_string&
      operator=(const _CharT* __s)
      { return this->assign(__s); }
# 703 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      operator=(_CharT __c)
      {
 this->assign(1, __c);
 return *this;
      }
# 721 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      operator=(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {
 if (!_M_is_local() && _Alloc_traits::_S_propagate_on_move_assign()
     && !_Alloc_traits::_S_always_equal()
     && _M_get_allocator() != __str._M_get_allocator())
   {

     _M_destroy(_M_allocated_capacity);
     _M_data(_M_local_data());
     _M_set_length(0);
   }

 std::__alloc_on_move(_M_get_allocator(), __str._M_get_allocator());

 if (!__str._M_is_local()
     && (_Alloc_traits::_S_propagate_on_move_assign()
       || _Alloc_traits::_S_always_equal()))
   {
     pointer __data = nullptr;
     size_type __capacity;
     if (!_M_is_local())
       {
  if (_Alloc_traits::_S_always_equal())
    {
      __data = _M_data();
      __capacity = _M_allocated_capacity;
    }
  else
    _M_destroy(_M_allocated_capacity);
       }

     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     if (__data)
       {
  __str._M_data(__data);
  __str._M_capacity(__capacity);
       }
     else
       __str._M_data(__str._M_local_buf);
   }
 else
     assign(__str);
 __str.clear();
 return *this;
      }





      basic_string&
      operator=(initializer_list<_CharT> __l)
      {
 this->assign(__l.begin(), __l.size());
 return *this;
      }
# 806 "/usr/include/c++/7/bits/basic_string.h" 3
      iterator
      begin() noexcept
      { return iterator(_M_data()); }





      const_iterator
      begin() const noexcept
      { return const_iterator(_M_data()); }





      iterator
      end() noexcept
      { return iterator(_M_data() + this->size()); }





      const_iterator
      end() const noexcept
      { return const_iterator(_M_data() + this->size()); }






      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(this->end()); }






      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      reverse_iterator
      rend() noexcept
      { return reverse_iterator(this->begin()); }






      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(this->begin()); }






      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_data()); }





      const_iterator
      cend() const noexcept
      { return const_iterator(this->_M_data() + this->size()); }






      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(this->begin()); }


    public:



      size_type
      size() const noexcept
      { return _M_string_length; }



      size_type
      length() const noexcept
      { return _M_string_length; }


      size_type
      max_size() const noexcept
      { return (_Alloc_traits::max_size(_M_get_allocator()) - 1) / 2; }
# 935 "/usr/include/c++/7/bits/basic_string.h" 3
      void
      resize(size_type __n, _CharT __c);
# 948 "/usr/include/c++/7/bits/basic_string.h" 3
      void
      resize(size_type __n)
      { this->resize(__n, _CharT()); }



      void
      shrink_to_fit() noexcept
      {

 if (capacity() > size())
   {
     try
       { reserve(0); }
     catch(...)
       { }
   }

      }






      size_type
      capacity() const noexcept
      {
 return _M_is_local() ? size_type(_S_local_capacity)
                      : _M_allocated_capacity;
      }
# 997 "/usr/include/c++/7/bits/basic_string.h" 3
      void
      reserve(size_type __res_arg = 0);




      void
      clear() noexcept
      { _M_set_length(0); }





      bool
      empty() const noexcept
      { return this->size() == 0; }
# 1026 "/usr/include/c++/7/bits/basic_string.h" 3
      const_reference
      operator[] (size_type __pos) const noexcept
      {
 ;
 return _M_data()[__pos];
      }
# 1043 "/usr/include/c++/7/bits/basic_string.h" 3
      reference
      operator[](size_type __pos)
      {


 ;

 ;
 return _M_data()[__pos];
      }
# 1064 "/usr/include/c++/7/bits/basic_string.h" 3
      const_reference
      at(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }
# 1085 "/usr/include/c++/7/bits/basic_string.h" 3
      reference
      at(size_type __n)
      {
 if (__n >= size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }






      reference
      front() noexcept
      {
 ;
 return operator[](0);
      }





      const_reference
      front() const noexcept
      {
 ;
 return operator[](0);
      }





      reference
      back() noexcept
      {
 ;
 return operator[](this->size() - 1);
      }





      const_reference
      back() const noexcept
      {
 ;
 return operator[](this->size() - 1);
      }
# 1148 "/usr/include/c++/7/bits/basic_string.h" 3
      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&
      operator+=(initializer_list<_CharT> __l)
      { return this->append(__l.begin(), __l.size()); }
# 1201 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      append(const basic_string& __str)
      { return _M_append(__str._M_data(), __str.size()); }
# 1218 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      append(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return _M_append(__str._M_data()
    + __str._M_check(__pos, "basic_string::append"),
    __str._M_limit(__pos, __n)); }







      basic_string&
      append(const _CharT* __s, size_type __n)
      {
 ;
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }






      basic_string&
      append(const _CharT* __s)
      {
 ;
 const size_type __n = traits_type::length(__s);
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }
# 1260 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      append(size_type __n, _CharT __c)
      { return _M_replace_aux(this->size(), size_type(0), __n, __c); }







      basic_string&
      append(initializer_list<_CharT> __l)
      { return this->append(__l.begin(), __l.size()); }
# 1284 "/usr/include/c++/7/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string&
        append(_InputIterator __first, _InputIterator __last)
        { return this->replace(end(), end(), __first, __last); }
# 1329 "/usr/include/c++/7/bits/basic_string.h" 3
      void
      push_back(_CharT __c)
      {
 const size_type __size = this->size();
 if (__size + 1 > this->capacity())
   this->_M_mutate(__size, size_type(0), 0, size_type(1));
 traits_type::assign(this->_M_data()[__size], __c);
 this->_M_set_length(__size + 1);
      }






      basic_string&
      assign(const basic_string& __str)
      {
 this->_M_assign(__str);
 return *this;
      }
# 1360 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      assign(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {


 return *this = std::move(__str);
      }
# 1383 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      assign(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return _M_replace(size_type(0), this->size(), __str._M_data()
     + __str._M_check(__pos, "basic_string::assign"),
     __str._M_limit(__pos, __n)); }
# 1399 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      assign(const _CharT* __s, size_type __n)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s, __n);
      }
# 1415 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      assign(const _CharT* __s)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s,
     traits_type::length(__s));
      }
# 1432 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      assign(size_type __n, _CharT __c)
      { return _M_replace_aux(size_type(0), this->size(), __n, __c); }
# 1445 "/usr/include/c++/7/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string&
        assign(_InputIterator __first, _InputIterator __last)
        { return this->replace(begin(), end(), __first, __last); }







      basic_string&
      assign(initializer_list<_CharT> __l)
      { return this->assign(__l.begin(), __l.size()); }
# 1513 "/usr/include/c++/7/bits/basic_string.h" 3
      iterator
      insert(const_iterator __p, size_type __n, _CharT __c)
      {
 ;
 const size_type __pos = __p - begin();
 this->replace(__p, __p, __n, __c);
 return iterator(this->_M_data() + __pos);
      }
# 1555 "/usr/include/c++/7/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 iterator
        insert(const_iterator __p, _InputIterator __beg, _InputIterator __end)
        {
   ;
   const size_type __pos = __p - begin();
   this->replace(__p, __p, __beg, __end);
   return iterator(this->_M_data() + __pos);
 }
# 1591 "/usr/include/c++/7/bits/basic_string.h" 3
      void
      insert(iterator __p, initializer_list<_CharT> __l)
      {
 ;
 this->insert(__p - begin(), __l.begin(), __l.size());
      }
# 1611 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos1, const basic_string& __str)
      { return this->replace(__pos1, size_type(0),
        __str._M_data(), __str.size()); }
# 1634 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos1, const basic_string& __str,
      size_type __pos2, size_type __n = npos)
      { return this->replace(__pos1, size_type(0), __str._M_data()
        + __str._M_check(__pos2, "basic_string::insert"),
        __str._M_limit(__pos2, __n)); }
# 1657 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos, const _CharT* __s, size_type __n)
      { return this->replace(__pos, size_type(0), __s, __n); }
# 1676 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos, const _CharT* __s)
      {
 ;
 return this->replace(__pos, size_type(0), __s,
        traits_type::length(__s));
      }
# 1700 "/usr/include/c++/7/bits/basic_string.h" 3
      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); }
# 1718 "/usr/include/c++/7/bits/basic_string.h" 3
      iterator
      insert(__const_iterator __p, _CharT __c)
      {
 ;
 const size_type __pos = __p - begin();
 _M_replace_aux(__pos, size_type(0), size_type(1), __c);
 return iterator(_M_data() + __pos);
      }
# 1778 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      erase(size_type __pos = 0, size_type __n = npos)
      {
 _M_check(__pos, "basic_string::erase");
 if (__n == npos)
   this->_M_set_length(__pos);
 else if (__n != 0)
   this->_M_erase(__pos, _M_limit(__pos, __n));
 return *this;
      }
# 1797 "/usr/include/c++/7/bits/basic_string.h" 3
      iterator
      erase(__const_iterator __position)
      {

                           ;
 const size_type __pos = __position - begin();
 this->_M_erase(__pos, size_type(1));
 return iterator(_M_data() + __pos);
      }
# 1816 "/usr/include/c++/7/bits/basic_string.h" 3
      iterator
      erase(__const_iterator __first, __const_iterator __last)
      {

                        ;
        const size_type __pos = __first - begin();
 if (__last == end())
   this->_M_set_length(__pos);
 else
   this->_M_erase(__pos, __last - __first);
 return iterator(this->_M_data() + __pos);
      }







      void
      pop_back() noexcept
      {
 ;
 _M_erase(size() - 1, 1);
      }
# 1860 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n, const basic_string& __str)
      { return this->replace(__pos, __n, __str._M_data(), __str.size()); }
# 1882 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos)
      { return this->replace(__pos1, __n1, __str._M_data()
        + __str._M_check(__pos2, "basic_string::replace"),
        __str._M_limit(__pos2, __n2)); }
# 1907 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2)
      {
 ;
 return _M_replace(_M_check(__pos, "basic_string::replace"),
     _M_limit(__pos, __n1), __s, __n2);
      }
# 1932 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n1, const _CharT* __s)
      {
 ;
 return this->replace(__pos, __n1, __s, traits_type::length(__s));
      }
# 1956 "/usr/include/c++/7/bits/basic_string.h" 3
      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); }
# 1974 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const basic_string& __str)
      { return this->replace(__i1, __i2, __str._M_data(), __str.size()); }
# 1994 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const _CharT* __s, size_type __n)
      {

                      ;
 return this->replace(__i1 - begin(), __i2 - __i1, __s, __n);
      }
# 2016 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2, const _CharT* __s)
      {
 ;
 return this->replace(__i1, __i2, __s, traits_type::length(__s));
      }
# 2037 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2, size_type __n,
       _CharT __c)
      {

                      ;
 return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __c);
      }
# 2062 "/usr/include/c++/7/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
        basic_string&
        replace(const_iterator __i1, const_iterator __i2,
  _InputIterator __k1, _InputIterator __k2)
        {
  
                        ;
   ;
   return this->_M_replace_dispatch(__i1, __i2, __k1, __k2,
        std::__false_type());
 }
# 2094 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       _CharT* __k1, _CharT* __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1, __k2 - __k1);
      }

      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const _CharT* __k1, const _CharT* __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1, __k2 - __k1);
      }

      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       iterator __k1, iterator __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1.base(), __k2 - __k1);
      }

      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const_iterator __k1, const_iterator __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1.base(), __k2 - __k1);
      }
# 2153 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string& replace(const_iterator __i1, const_iterator __i2,
       initializer_list<_CharT> __l)
      { return this->replace(__i1, __i2, __l.begin(), __l.size()); }
# 2212 "/usr/include/c++/7/bits/basic_string.h" 3
    private:
      template<class _Integer>
 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _Integer __n, _Integer __val, __true_type)
        { return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __val); }

      template<class _InputIterator>
 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_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(size_type __pos, size_type __len1, const _CharT* __s,
   const size_type __len2);

      basic_string&
      _M_append(const _CharT* __s, size_type __n);

    public:
# 2250 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      copy(_CharT* __s, size_type __n, size_type __pos = 0) const;
# 2260 "/usr/include/c++/7/bits/basic_string.h" 3
      void
      swap(basic_string& __s) noexcept;
# 2270 "/usr/include/c++/7/bits/basic_string.h" 3
      const _CharT*
      c_str() const noexcept
      { return _M_data(); }
# 2282 "/usr/include/c++/7/bits/basic_string.h" 3
      const _CharT*
      data() const noexcept
      { return _M_data(); }
# 2301 "/usr/include/c++/7/bits/basic_string.h" 3
      allocator_type
      get_allocator() const noexcept
      { return _M_get_allocator(); }
# 2317 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2331 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find(__str.data(), __pos, __str.size()); }
# 2363 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find(const _CharT* __s, size_type __pos = 0) const noexcept
      {
 ;
 return this->find(__s, __pos, traits_type::length(__s));
      }
# 2380 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find(_CharT __c, size_type __pos = 0) const noexcept;
# 2393 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      rfind(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->rfind(__str.data(), __pos, __str.size()); }
# 2427 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      rfind(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2441 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      rfind(const _CharT* __s, size_type __pos = npos) const
      {
 ;
 return this->rfind(__s, __pos, traits_type::length(__s));
      }
# 2458 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      rfind(_CharT __c, size_type __pos = npos) const noexcept;
# 2472 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_of(__str.data(), __pos, __str.size()); }
# 2507 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2521 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_of(__s, __pos, traits_type::length(__s));
      }
# 2541 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_of(_CharT __c, size_type __pos = 0) const noexcept
      { return this->find(__c, __pos); }
# 2556 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_of(__str.data(), __pos, __str.size()); }
# 2591 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2605 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_of(__s, __pos, traits_type::length(__s));
      }
# 2625 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_of(_CharT __c, size_type __pos = npos) const noexcept
      { return this->rfind(__c, __pos); }
# 2639 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_not_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_not_of(__str.data(), __pos, __str.size()); }
# 2674 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos,
   size_type __n) const noexcept;
# 2688 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_not_of(__s, __pos, traits_type::length(__s));
      }
# 2706 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_first_not_of(_CharT __c, size_type __pos = 0) const
      noexcept;
# 2721 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_not_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_not_of(__str.data(), __pos, __str.size()); }
# 2756 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos,
         size_type __n) const noexcept;
# 2770 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_not_of(__s, __pos, traits_type::length(__s));
      }
# 2788 "/usr/include/c++/7/bits/basic_string.h" 3
      size_type
      find_last_not_of(_CharT __c, size_type __pos = npos) const
      noexcept;
# 2804 "/usr/include/c++/7/bits/basic_string.h" 3
      basic_string
      substr(size_type __pos = 0, size_type __n = npos) const
      { return basic_string(*this,
       _M_check(__pos, "basic_string::substr"), __n); }
# 2823 "/usr/include/c++/7/bits/basic_string.h" 3
      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;
      }
# 2916 "/usr/include/c++/7/bits/basic_string.h" 3
      int
      compare(size_type __pos, size_type __n, const basic_string& __str) const;
# 2942 "/usr/include/c++/7/bits/basic_string.h" 3
      int
      compare(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos) const;
# 2960 "/usr/include/c++/7/bits/basic_string.h" 3
      int
      compare(const _CharT* __s) const noexcept;
# 2984 "/usr/include/c++/7/bits/basic_string.h" 3
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s) const;
# 3011 "/usr/include/c++/7/bits/basic_string.h" 3
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2) const;


      template<typename, typename, typename> friend class basic_stringbuf;
    };
}
# 5877 "/usr/include/c++/7/bits/basic_string.h" 3
  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 basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    {
      const auto __size = __lhs.size() + __rhs.size();
      const bool __cond = (__size > __lhs.capacity()
      && __size <= __rhs.capacity());
      return __cond ? std::move(__rhs.insert(0, __lhs))
             : std::move(__lhs.append(__rhs));
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const _CharT* __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(_CharT __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, 1, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const _CharT* __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       _CharT __rhs)
    { return std::move(__lhs.append(1, __rhs)); }
# 5998 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { 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) noexcept
    { 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; }
# 6045 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { 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); }
# 6083 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { 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; }
# 6121 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { 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; }
# 6159 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { 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; }
# 6197 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { 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; }
# 6235 "/usr/include/c++/7/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline void
    swap(basic_string<_CharT, _Traits, _Alloc>& __lhs,
  basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept(noexcept(__lhs.swap(__rhs)))
    { __lhs.swap(__rhs); }
# 6255 "/usr/include/c++/7/bits/basic_string.h" 3
  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);
# 6273 "/usr/include/c++/7/bits/basic_string.h" 3
  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());
    }
# 6296 "/usr/include/c++/7/bits/basic_string.h" 3
  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);
# 6313 "/usr/include/c++/7/bits/basic_string.h" 3
  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 std::getline(__is, __str, __is.widen('\n')); }



  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>&& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
    { return std::getline(__is, __str, __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 std::getline(__is, __str); }


  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);



}



# 1 "/usr/include/c++/7/ext/string_conversions.h" 1 3
# 30 "/usr/include/c++/7/ext/string_conversions.h" 3
#define _STRING_CONVERSIONS_H 1

       
# 33 "/usr/include/c++/7/ext/string_conversions.h" 3
# 41 "/usr/include/c++/7/ext/string_conversions.h" 3
# 1 "/usr/include/c++/7/cstdlib" 1 3
# 39 "/usr/include/c++/7/cstdlib" 3
       
# 40 "/usr/include/c++/7/cstdlib" 3




#define _GLIBCXX_CSTDLIB 1
# 74 "/usr/include/c++/7/cstdlib" 3
#define _GLIBCXX_INCLUDE_NEXT_C_HEADERS 
# 1 "/usr/include/stdlib.h" 1 3 4
# 24 "/usr/include/stdlib.h" 3 4
#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION 
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 31 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
#undef __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION





#undef __GLIBC_USE_LIB_EXT2


#define __GLIBC_USE_LIB_EXT2 1






#undef __GLIBC_USE_IEC_60559_BFP_EXT

#define __GLIBC_USE_IEC_60559_BFP_EXT 1






#undef __GLIBC_USE_IEC_60559_FUNCS_EXT

#define __GLIBC_USE_IEC_60559_FUNCS_EXT 1






#undef __GLIBC_USE_IEC_60559_TYPES_EXT

#define __GLIBC_USE_IEC_60559_TYPES_EXT 1
# 26 "/usr/include/stdlib.h" 2 3 4


#define __need_size_t 
#define __need_wchar_t 
#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 32 "/usr/include/stdlib.h" 2 3 4

extern "C" {

#define _STDLIB_H 1



# 1 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 3 4
#define WNOHANG 1
#define WUNTRACED 2



#define WSTOPPED 2
#define WEXITED 4
#define WCONTINUED 8
#define WNOWAIT 0x01000000


#define __WNOTHREAD 0x20000000

#define __WALL 0x40000000
#define __WCLONE 0x80000000




#define __ENUM_IDTYPE_T 1



#undef P_ALL
#undef P_PID
#undef P_PGID

typedef enum
{
  P_ALL,
  P_PID,
  P_PGID
} idtype_t;
# 40 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 3 4
#define __WEXITSTATUS(status) (((status) & 0xff00) >> 8)


#define __WTERMSIG(status) ((status) & 0x7f)


#define __WSTOPSIG(status) __WEXITSTATUS(status)


#define __WIFEXITED(status) (__WTERMSIG(status) == 0)


#define __WIFSIGNALED(status) (((signed char) (((status) & 0x7f) + 1) >> 1) > 0)



#define __WIFSTOPPED(status) (((status) & 0xff) == 0x7f)




#define __WIFCONTINUED(status) ((status) == __W_CONTINUED)



#define __WCOREDUMP(status) ((status) & __WCOREFLAG)


#define __W_EXITCODE(ret,sig) ((ret) << 8 | (sig))
#define __W_STOPCODE(sig) ((sig) << 8 | 0x7f)
#define __W_CONTINUED 0xffff
#define __WCOREFLAG 0x80
# 41 "/usr/include/stdlib.h" 2 3 4


#define WEXITSTATUS(status) __WEXITSTATUS (status)
#define WTERMSIG(status) __WTERMSIG (status)
#define WSTOPSIG(status) __WSTOPSIG (status)
#define WIFEXITED(status) __WIFEXITED (status)
#define WIFSIGNALED(status) __WIFSIGNALED (status)
#define WIFSTOPPED(status) __WIFSTOPPED (status)

#define WIFCONTINUED(status) __WIFCONTINUED (status)







typedef struct
  {
    int quot;
    int rem;
  } div_t;



typedef struct
  {
    long int quot;
    long int rem;
  } ldiv_t;
#define __ldiv_t_defined 1




__extension__ typedef struct
  {
    long long int quot;
    long long int rem;
  } lldiv_t;
#define __lldiv_t_defined 1




#define RAND_MAX 2147483647




#define EXIT_FAILURE 1
#define EXIT_SUCCESS 0



#define MB_CUR_MAX (__ctype_get_mb_cur_max ())
extern size_t __ctype_get_mb_cur_max (void) throw () ;



extern double atof (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern int atoi (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern long int atol (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



__extension__ extern long long int atoll (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



extern double strtod (const char *__restrict __nptr,
        char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) throw () __attribute__ ((__nonnull__ (1)));

extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));
# 140 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32 (const char *__restrict __nptr,
     char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float64 strtof64 (const char *__restrict __nptr,
     char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float128 strtof128 (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float32x strtof32x (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float64x strtof64x (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));
# 176 "/usr/include/stdlib.h" 3 4
extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));

extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));



__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));




__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));




extern int strfromd (char *__dest, size_t __size, const char *__format,
       double __f)
     throw () __attribute__ ((__nonnull__ (3)));

extern int strfromf (char *__dest, size_t __size, const char *__format,
       float __f)
     throw () __attribute__ ((__nonnull__ (3)));

extern int strfroml (char *__dest, size_t __size, const char *__format,
       long double __f)
     throw () __attribute__ ((__nonnull__ (3)));
# 232 "/usr/include/stdlib.h" 3 4
extern int strfromf32 (char *__dest, size_t __size, const char * __format,
         _Float32 __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf64 (char *__dest, size_t __size, const char * __format,
         _Float64 __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf128 (char *__dest, size_t __size, const char * __format,
   _Float128 __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf32x (char *__dest, size_t __size, const char * __format,
   _Float32x __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf64x (char *__dest, size_t __size, const char * __format,
   _Float64x __f)
     throw () __attribute__ ((__nonnull__ (3)));
# 274 "/usr/include/stdlib.h" 3 4
extern long int strtol_l (const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     locale_t __loc) throw () __attribute__ ((__nonnull__ (1, 4)));

extern unsigned long int strtoul_l (const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 4)));

extern double strtod_l (const char *__restrict __nptr,
   char **__restrict __endptr, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));

extern float strtof_l (const char *__restrict __nptr,
         char **__restrict __endptr, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));

extern long double strtold_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));
# 316 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float64 strtof64_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float128 strtof128_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float32x strtof32x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float64x strtof64x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));
# 385 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) throw () ;


extern long int a64l (const char *__s)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;




# 1 "/usr/include/x86_64-linux-gnu/sys/types.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
#define _SYS_TYPES_H 1



extern "C" {





typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;
#define __u_char_defined 



typedef __loff_t loff_t;



typedef __ino_t ino_t;



#define __ino_t_defined 


typedef __ino64_t ino64_t;
#define __ino64_t_defined 



typedef __dev_t dev_t;
#define __dev_t_defined 



typedef __gid_t gid_t;
#define __gid_t_defined 



typedef __mode_t mode_t;
#define __mode_t_defined 



typedef __nlink_t nlink_t;
#define __nlink_t_defined 



typedef __uid_t uid_t;
#define __uid_t_defined 




typedef __off_t off_t;



#define __off_t_defined 


typedef __off64_t off64_t;
#define __off64_t_defined 
# 104 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __id_t id_t;
#define __id_t_defined 



typedef __ssize_t ssize_t;
#define __ssize_t_defined 




typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;
#define __daddr_t_defined 




typedef __key_t key_t;
#define __key_t_defined 
# 135 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __useconds_t useconds_t;
#define __useconds_t_defined 


typedef __suseconds_t suseconds_t;
#define __suseconds_t_defined 



#define __need_size_t 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 146 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;
# 175 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
#define __u_intN_t(N,MODE) typedef unsigned int u_int ##N ##_t __attribute__ ((__mode__ (MODE)))


typedef unsigned int u_int8_t __attribute__ ((__mode__ (__QI__)));
typedef unsigned int u_int16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int u_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int u_int64_t __attribute__ ((__mode__ (__DI__)));

typedef int register_t __attribute__ ((__mode__ (__word__)));





#define __BIT_TYPES_DEFINED__ 1







# 1 "/usr/include/x86_64-linux-gnu/sys/select.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
#define _SYS_SELECT_H 1







# 1 "/usr/include/x86_64-linux-gnu/bits/select.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/select.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4



#define __WORDSIZE 64







#define __WORDSIZE_TIME64_COMPAT32 1

#define __SYSCALL_WORDSIZE 64
# 23 "/usr/include/x86_64-linux-gnu/bits/select.h" 2 3 4





#define __FD_ZERO_STOS "stosq"




#define __FD_ZERO(fdsp) do { int __d0, __d1; __asm__ __volatile__ ("cld; rep; " __FD_ZERO_STOS : "=c" (__d0), "=D" (__d1) : "a" (0), "0" (sizeof (fd_set) / sizeof (__fd_mask)), "1" (&__FDS_BITS (fdsp)[0]) : "memory"); } while (0)
# 58 "/usr/include/x86_64-linux-gnu/bits/select.h" 3 4
#define __FD_SET(d,set) ((void) (__FDS_BITS (set)[__FD_ELT (d)] |= __FD_MASK (d)))

#define __FD_CLR(d,set) ((void) (__FDS_BITS (set)[__FD_ELT (d)] &= ~__FD_MASK (d)))

#define __FD_ISSET(d,set) ((__FDS_BITS (set)[__FD_ELT (d)] & __FD_MASK (d)) != 0)
# 31 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 1 3 4

#define __sigset_t_defined 1

# 1 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h" 1 3 4

#define ____sigset_t_defined 

#define _SIGSET_NWORDS (1024 / (8 * sizeof (unsigned long int)))
typedef struct
{
  unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
# 5 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 2 3 4


typedef __sigset_t sigset_t;
# 34 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
# 49 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
typedef long int __fd_mask;


#undef __NFDBITS

#define __NFDBITS (8 * (int) sizeof (__fd_mask))
#define __FD_ELT(d) ((d) / __NFDBITS)
#define __FD_MASK(d) ((__fd_mask) (1UL << ((d) % __NFDBITS)))


typedef struct
  {



    __fd_mask fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];
#define __FDS_BITS(set) ((set)->fds_bits)




  } fd_set;


#define FD_SETSIZE __FD_SETSIZE



typedef __fd_mask fd_mask;


#define NFDBITS __NFDBITS




#define FD_SET(fd,fdsetp) __FD_SET (fd, fdsetp)
#define FD_CLR(fd,fdsetp) __FD_CLR (fd, fdsetp)
#define FD_ISSET(fd,fdsetp) __FD_ISSET (fd, fdsetp)
#define FD_ZERO(fdsetp) __FD_ZERO (fdsetp)


extern "C" {
# 101 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern int select (int __nfds, fd_set *__restrict __readfds,
     fd_set *__restrict __writefds,
     fd_set *__restrict __exceptfds,
     struct timeval *__restrict __timeout);
# 113 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern int pselect (int __nfds, fd_set *__restrict __readfds,
      fd_set *__restrict __writefds,
      fd_set *__restrict __exceptfds,
      const struct timespec *__restrict __timeout,
      const __sigset_t *__restrict __sigmask);
# 126 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
}
# 198 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4






#define __SYSMACROS_DEPRECATED_INCLUSION 
# 1 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 1 3 4
# 30 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
#undef major
#undef minor
#undef makedev




#define _SYS_SYSMACROS_H 1



# 1 "/usr/include/x86_64-linux-gnu/bits/sysmacros.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/sysmacros.h" 3 4
#define _BITS_SYSMACROS_H 1
# 36 "/usr/include/x86_64-linux-gnu/bits/sysmacros.h" 3 4
#define __SYSMACROS_DECLARE_MAJOR(DECL_TEMPL) DECL_TEMPL(unsigned int, major, (__dev_t __dev))


#define __SYSMACROS_DEFINE_MAJOR(DECL_TEMPL) __SYSMACROS_DECLARE_MAJOR (DECL_TEMPL) { unsigned int __major; __major = ((__dev & (__dev_t) 0x00000000000fff00u) >> 8); __major |= ((__dev & (__dev_t) 0xfffff00000000000u) >> 32); return __major; }
# 48 "/usr/include/x86_64-linux-gnu/bits/sysmacros.h" 3 4
#define __SYSMACROS_DECLARE_MINOR(DECL_TEMPL) DECL_TEMPL(unsigned int, minor, (__dev_t __dev))


#define __SYSMACROS_DEFINE_MINOR(DECL_TEMPL) __SYSMACROS_DECLARE_MINOR (DECL_TEMPL) { unsigned int __minor; __minor = ((__dev & (__dev_t) 0x00000000000000ffu) >> 0); __minor |= ((__dev & (__dev_t) 0x00000ffffff00000u) >> 12); return __minor; }
# 60 "/usr/include/x86_64-linux-gnu/bits/sysmacros.h" 3 4
#define __SYSMACROS_DECLARE_MAKEDEV(DECL_TEMPL) DECL_TEMPL(__dev_t, makedev, (unsigned int __major, unsigned int __minor))


#define __SYSMACROS_DEFINE_MAKEDEV(DECL_TEMPL) __SYSMACROS_DECLARE_MAKEDEV (DECL_TEMPL) { __dev_t __dev; __dev = (((__dev_t) (__major & 0x00000fffu)) << 8); __dev |= (((__dev_t) (__major & 0xfffff000u)) << 32); __dev |= (((__dev_t) (__minor & 0x000000ffu)) << 0); __dev |= (((__dev_t) (__minor & 0xffffff00u)) << 12); return __dev; }
# 42 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 2 3 4
# 52 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
#define __SYSMACROS_DM(symbol) __SYSMACROS_DM1 (In the GNU C Library, #symbol is defined\n by <sys/sysmacros.h>. For historical compatibility, it is\n currently defined by <sys/types.h> as well, but we plan to\n remove this soon. To use #symbol, include <sys/sysmacros.h>\n directly. If you did not intend to use a system-defined macro\n #symbol, you should undefine it after including <sys/types.h>.)
# 62 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
#define __SYSMACROS_DM1(...) __glibc_macro_warning (#__VA_ARGS__)

#define __SYSMACROS_DECL_TEMPL(rtype,name,proto) extern rtype gnu_dev_ ##name proto __THROW __attribute_const__;


#define __SYSMACROS_IMPL_TEMPL(rtype,name,proto) __extension__ __extern_inline __attribute_const__ rtype __NTH (gnu_dev_ ##name proto)



extern "C" {

extern unsigned int gnu_dev_major (__dev_t __dev) throw () __attribute__ ((__const__));
extern unsigned int gnu_dev_minor (__dev_t __dev) throw () __attribute__ ((__const__));
extern __dev_t gnu_dev_makedev (unsigned int __major, unsigned int __minor) throw () __attribute__ ((__const__));
# 85 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
}




#undef __SYSMACROS_DECL_TEMPL
#undef __SYSMACROS_IMPL_TEMPL
#undef __SYSMACROS_DECLARE_MAJOR
#undef __SYSMACROS_DECLARE_MINOR
#undef __SYSMACROS_DECLARE_MAKEDEV
#undef __SYSMACROS_DEFINE_MAJOR
#undef __SYSMACROS_DEFINE_MINOR
#undef __SYSMACROS_DEFINE_MAKEDEV



#define major(dev) __SYSMACROS_DM (major) gnu_dev_major (dev)
#define minor(dev) __SYSMACROS_DM (minor) gnu_dev_minor (dev)
#define makedev(maj,min) __SYSMACROS_DM (makedev) gnu_dev_makedev (maj, min)
# 206 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
#undef __SYSMACROS_DEPRECATED_INCLUSION





typedef __blksize_t blksize_t;
#define __blksize_t_defined 





typedef __blkcnt_t blkcnt_t;
#define __blkcnt_t_defined 


typedef __fsblkcnt_t fsblkcnt_t;
#define __fsblkcnt_t_defined 


typedef __fsfilcnt_t fsfilcnt_t;
#define __fsfilcnt_t_defined 
# 246 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;
# 257 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
}
# 395 "/usr/include/stdlib.h" 2 3 4






extern long int random (void) throw ();


extern void srandom (unsigned int __seed) throw ();





extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) throw () __attribute__ ((__nonnull__ (2)));



extern char *setstate (char *__statebuf) throw () __attribute__ ((__nonnull__ (1)));







struct random_data
  {
    int32_t *fptr;
    int32_t *rptr;
    int32_t *state;
    int rand_type;
    int rand_deg;
    int rand_sep;
    int32_t *end_ptr;
  };

extern int random_r (struct random_data *__restrict __buf,
       int32_t *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));

extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     throw () __attribute__ ((__nonnull__ (2)));

extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     throw () __attribute__ ((__nonnull__ (2, 4)));

extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     throw () __attribute__ ((__nonnull__ (1, 2)));





extern int rand (void) throw ();

extern void srand (unsigned int __seed) throw ();



extern int rand_r (unsigned int *__seed) throw ();







extern double drand48 (void) throw ();
extern double erand48 (unsigned short int __xsubi[3]) throw () __attribute__ ((__nonnull__ (1)));


extern long int lrand48 (void) throw ();
extern long int nrand48 (unsigned short int __xsubi[3])
     throw () __attribute__ ((__nonnull__ (1)));


extern long int mrand48 (void) throw ();
extern long int jrand48 (unsigned short int __xsubi[3])
     throw () __attribute__ ((__nonnull__ (1)));


extern void srand48 (long int __seedval) throw ();
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     throw () __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) throw () __attribute__ ((__nonnull__ (1)));





struct drand48_data
  {
    unsigned short int __x[3];
    unsigned short int __old_x[3];
    unsigned short int __c;
    unsigned short int __init;
    __extension__ unsigned long long int __a;

  };


extern int drand48_r (struct drand48_data *__restrict __buffer,
        double *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));


extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     throw () __attribute__ ((__nonnull__ (2)));

extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) throw () __attribute__ ((__nonnull__ (1, 2)));

extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern void *malloc (size_t __size) throw () __attribute__ ((__malloc__)) ;

extern void *calloc (size_t __nmemb, size_t __size)
     throw () __attribute__ ((__malloc__)) ;






extern void *realloc (void *__ptr, size_t __size)
     throw () __attribute__ ((__warn_unused_result__));







extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     throw () __attribute__ ((__warn_unused_result__));



extern void free (void *__ptr) throw ();


# 1 "/usr/include/alloca.h" 1 3 4
# 19 "/usr/include/alloca.h" 3 4
#define _ALLOCA_H 1



#define __need_size_t 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 25 "/usr/include/alloca.h" 2 3 4

extern "C" {


#undef alloca


extern void *alloca (size_t __size) throw ();


#define alloca(size) __builtin_alloca (size)


}
# 567 "/usr/include/stdlib.h" 2 3 4





extern void *valloc (size_t __size) throw () __attribute__ ((__malloc__)) ;




extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
     throw () __attribute__ ((__nonnull__ (1))) ;




extern void *aligned_alloc (size_t __alignment, size_t __size)
     throw () __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (2))) ;



extern void abort (void) throw () __attribute__ ((__noreturn__));



extern int atexit (void (*__func) (void)) throw () __attribute__ ((__nonnull__ (1)));




extern "C++" int at_quick_exit (void (*__func) (void))
     throw () __asm ("at_quick_exit") __attribute__ ((__nonnull__ (1)));
# 607 "/usr/include/stdlib.h" 3 4
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     throw () __attribute__ ((__nonnull__ (1)));





extern void exit (int __status) throw () __attribute__ ((__noreturn__));





extern void quick_exit (int __status) throw () __attribute__ ((__noreturn__));





extern void _Exit (int __status) throw () __attribute__ ((__noreturn__));




extern char *getenv (const char *__name) throw () __attribute__ ((__nonnull__ (1))) ;




extern char *secure_getenv (const char *__name)
     throw () __attribute__ ((__nonnull__ (1))) ;






extern int putenv (char *__string) throw () __attribute__ ((__nonnull__ (1)));





extern int setenv (const char *__name, const char *__value, int __replace)
     throw () __attribute__ ((__nonnull__ (2)));


extern int unsetenv (const char *__name) throw () __attribute__ ((__nonnull__ (1)));






extern int clearenv (void) throw ();
# 672 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) throw () __attribute__ ((__nonnull__ (1)));
# 685 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 695 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 707 "/usr/include/stdlib.h" 3 4
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
# 717 "/usr/include/stdlib.h" 3 4
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) ;
# 728 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) throw () __attribute__ ((__nonnull__ (1))) ;
# 739 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 749 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 759 "/usr/include/stdlib.h" 3 4
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 771 "/usr/include/stdlib.h" 3 4
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 781 "/usr/include/stdlib.h" 3 4
extern int system (const char *__command) ;





extern char *canonicalize_file_name (const char *__name)
     throw () __attribute__ ((__nonnull__ (1))) ;
# 797 "/usr/include/stdlib.h" 3 4
extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) throw () ;





#define __COMPAR_FN_T 
typedef int (*__compar_fn_t) (const void *, const void *);


typedef __compar_fn_t comparison_fn_t;



typedef int (*__compar_d_fn_t) (const void *, const void *, void *);




extern void *bsearch (const void *__key, const void *__base,
        size_t __nmemb, size_t __size, __compar_fn_t __compar)
     __attribute__ ((__nonnull__ (1, 2, 5))) ;







extern void qsort (void *__base, size_t __nmemb, size_t __size,
     __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));

extern void qsort_r (void *__base, size_t __nmemb, size_t __size,
       __compar_d_fn_t __compar, void *__arg)
  __attribute__ ((__nonnull__ (1, 4)));




extern int abs (int __x) throw () __attribute__ ((__const__)) ;
extern long int labs (long int __x) throw () __attribute__ ((__const__)) ;


__extension__ extern long long int llabs (long long int __x)
     throw () __attribute__ ((__const__)) ;






extern div_t div (int __numer, int __denom)
     throw () __attribute__ ((__const__)) ;
extern ldiv_t ldiv (long int __numer, long int __denom)
     throw () __attribute__ ((__const__)) ;


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     throw () __attribute__ ((__const__)) ;
# 869 "/usr/include/stdlib.h" 3 4
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) throw () __attribute__ ((__nonnull__ (3, 4))) ;




extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) throw () __attribute__ ((__nonnull__ (3, 4))) ;




extern char *gcvt (double __value, int __ndigit, char *__buf)
     throw () __attribute__ ((__nonnull__ (3))) ;




extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     throw () __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     throw () __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     throw () __attribute__ ((__nonnull__ (3))) ;




extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) throw () __attribute__ ((__nonnull__ (3, 4, 5)));
extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) throw () __attribute__ ((__nonnull__ (3, 4, 5)));

extern int qecvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     throw () __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qfcvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     throw () __attribute__ ((__nonnull__ (3, 4, 5)));





extern int mblen (const char *__s, size_t __n) throw ();


extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) throw ();


extern int wctomb (char *__s, wchar_t __wchar) throw ();



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) throw ();

extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     throw ();







extern int rpmatch (const char *__response) throw () __attribute__ ((__nonnull__ (1))) ;
# 954 "/usr/include/stdlib.h" 3 4
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     throw () __attribute__ ((__nonnull__ (1, 2, 3))) ;





extern void setkey (const char *__key) throw () __attribute__ ((__nonnull__ (1)));







extern int posix_openpt (int __oflag) ;







extern int grantpt (int __fd) throw ();



extern int unlockpt (int __fd) throw ();




extern char *ptsname (int __fd) throw () ;






extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
     throw () __attribute__ ((__nonnull__ (2)));


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     throw () __attribute__ ((__nonnull__ (1)));
# 1016 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdlib-float.h" 1 3 4
# 1017 "/usr/include/stdlib.h" 2 3 4
# 1026 "/usr/include/stdlib.h" 3 4
}
# 76 "/usr/include/c++/7/cstdlib" 2 3
#undef _GLIBCXX_INCLUDE_NEXT_C_HEADERS
# 1 "/usr/include/c++/7/bits/std_abs.h" 1 3
# 31 "/usr/include/c++/7/bits/std_abs.h" 3
#define _GLIBCXX_BITS_STD_ABS_H 

       
# 34 "/usr/include/c++/7/bits/std_abs.h" 3



#define _GLIBCXX_INCLUDE_NEXT_C_HEADERS 




#undef _GLIBCXX_INCLUDE_NEXT_C_HEADERS

#undef abs

extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }







  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }



  inline constexpr __int128
  abs(__int128 __x) { return __x >= 0 ? __x : -__x; }
# 100 "/usr/include/c++/7/bits/std_abs.h" 3
  inline constexpr
  __float128
  abs(__float128 __x)
  { return __x < 0 ? -__x : __x; }



}
}
# 78 "/usr/include/c++/7/cstdlib" 2 3


#undef abort



#undef atexit


#undef at_quick_exit


#undef atof
#undef atoi
#undef atol
#undef bsearch
#undef calloc
#undef div
#undef exit
#undef free
#undef getenv
#undef labs
#undef ldiv
#undef malloc
#undef mblen
#undef mbstowcs
#undef mbtowc
#undef qsort


#undef quick_exit


#undef rand
#undef realloc
#undef srand
#undef strtod
#undef strtol
#undef strtoul
#undef system
#undef wcstombs
#undef wctomb

extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;



  using ::atexit;


  using ::at_quick_exit;


  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 ::quick_exit;


  using ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



  inline ldiv_t
  div(long __i, long __j) { return ldiv(__i, __j); }




}



#undef _Exit
#undef llabs
#undef lldiv
#undef atoll
#undef strtoll
#undef strtoull
#undef strtof
#undef strtold

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  using ::lldiv_t;





  using ::_Exit;



  using ::llabs;

  inline lldiv_t
  div(long long __n, long long __d)
  { lldiv_t __q; __q.quot = __n / __d; __q.rem = __n % __d; return __q; }

  using ::lldiv;
# 227 "/usr/include/c++/7/cstdlib" 3
  using ::atoll;
  using ::strtoll;
  using ::strtoull;

  using ::strtof;
  using ::strtold;


}

namespace std
{

  using ::__gnu_cxx::lldiv_t;

  using ::__gnu_cxx::_Exit;

  using ::__gnu_cxx::llabs;
  using ::__gnu_cxx::div;
  using ::__gnu_cxx::lldiv;

  using ::__gnu_cxx::atoll;
  using ::__gnu_cxx::strtof;
  using ::__gnu_cxx::strtoll;
  using ::__gnu_cxx::strtoull;
  using ::__gnu_cxx::strtold;
}



}
# 42 "/usr/include/c++/7/ext/string_conversions.h" 2 3
# 1 "/usr/include/c++/7/cwchar" 1 3
# 39 "/usr/include/c++/7/cwchar" 3
       
# 40 "/usr/include/c++/7/cwchar" 3
# 43 "/usr/include/c++/7/ext/string_conversions.h" 2 3
# 1 "/usr/include/c++/7/cstdio" 1 3
# 39 "/usr/include/c++/7/cstdio" 3
       
# 40 "/usr/include/c++/7/cstdio" 3


# 1 "/usr/include/stdio.h" 1 3 4
# 24 "/usr/include/stdio.h" 3 4
#define _STDIO_H 1

#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION 
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 31 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
#undef __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION





#undef __GLIBC_USE_LIB_EXT2


#define __GLIBC_USE_LIB_EXT2 1






#undef __GLIBC_USE_IEC_60559_BFP_EXT

#define __GLIBC_USE_IEC_60559_BFP_EXT 1






#undef __GLIBC_USE_IEC_60559_FUNCS_EXT

#define __GLIBC_USE_IEC_60559_FUNCS_EXT 1






#undef __GLIBC_USE_IEC_60559_TYPES_EXT

#define __GLIBC_USE_IEC_60559_TYPES_EXT 1
# 28 "/usr/include/stdio.h" 2 3 4

extern "C" {

#define __need_size_t 
#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 34 "/usr/include/stdio.h" 2 3 4





#define _STDIO_USES_IOSTREAM 

# 1 "/usr/include/x86_64-linux-gnu/bits/libio.h" 1 3 4
# 29 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
#define _BITS_LIBIO_H 1





# 1 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 1 3 4




#define _BITS_G_CONFIG_H 1
# 14 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 3 4
#define __need_size_t 



#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 20 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 2 3 4






typedef struct
{
  __off_t __pos;
  __mbstate_t __state;
} _G_fpos_t;
typedef struct
{
  __off64_t __pos;
  __mbstate_t __state;
} _G_fpos64_t;
# 51 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 3 4
#define _G_va_list __gnuc_va_list

#define _G_HAVE_MMAP 1
#define _G_HAVE_MREMAP 1

#define _G_IO_IO_FILE_VERSION 0x20001


#define _G_HAVE_ST_BLKSIZE defined (_STATBUF_ST_BLKSIZE)

#define _G_BUFSIZ 8192
# 36 "/usr/include/x86_64-linux-gnu/bits/libio.h" 2 3 4

#define _IO_fpos_t _G_fpos_t
#define _IO_fpos64_t _G_fpos64_t
#define _IO_size_t size_t
#define _IO_ssize_t __ssize_t
#define _IO_off_t __off_t
#define _IO_off64_t __off64_t
#define _IO_pid_t __pid_t
#define _IO_uid_t __uid_t
#define _IO_iconv_t _G_iconv_t
#define _IO_HAVE_ST_BLKSIZE _G_HAVE_ST_BLKSIZE
#define _IO_BUFSIZ _G_BUFSIZ
#define _IO_va_list _G_va_list
#define _IO_wint_t wint_t


#define __need___va_list 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stdarg.h" 1 3 4
# 34 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stdarg.h" 3 4
#undef __need___va_list
# 54 "/usr/include/x86_64-linux-gnu/bits/libio.h" 2 3 4

#undef _IO_va_list
#define _IO_va_list __gnuc_va_list






#define _IO_UNIFIED_JUMPTABLES 1


#define EOF (-1)
# 81 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
#define _IOS_INPUT 1
#define _IOS_OUTPUT 2
#define _IOS_ATEND 4
#define _IOS_APPEND 8
#define _IOS_TRUNC 16
#define _IOS_NOCREATE 32
#define _IOS_NOREPLACE 64
#define _IOS_BIN 128







#define _IO_MAGIC 0xFBAD0000
#define _OLD_STDIO_MAGIC 0xFABC0000
#define _IO_MAGIC_MASK 0xFFFF0000
#define _IO_USER_BUF 1
#define _IO_UNBUFFERED 2
#define _IO_NO_READS 4
#define _IO_NO_WRITES 8
#define _IO_EOF_SEEN 0x10
#define _IO_ERR_SEEN 0x20
#define _IO_DELETE_DONT_CLOSE 0x40
#define _IO_LINKED 0x80
#define _IO_IN_BACKUP 0x100
#define _IO_LINE_BUF 0x200
#define _IO_TIED_PUT_GET 0x400
#define _IO_CURRENTLY_PUTTING 0x800
#define _IO_IS_APPENDING 0x1000
#define _IO_IS_FILEBUF 0x2000
#define _IO_BAD_SEEN 0x4000
#define _IO_USER_LOCK 0x8000

#define _IO_FLAGS2_MMAP 1
#define _IO_FLAGS2_NOTCANCEL 2



#define _IO_FLAGS2_USER_WBUF 8
# 130 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
#define _IO_SKIPWS 01
#define _IO_LEFT 02
#define _IO_RIGHT 04
#define _IO_INTERNAL 010
#define _IO_DEC 020
#define _IO_OCT 040
#define _IO_HEX 0100
#define _IO_SHOWBASE 0200
#define _IO_SHOWPOINT 0400
#define _IO_UPPERCASE 01000
#define _IO_SHOWPOS 02000
#define _IO_SCIENTIFIC 04000
#define _IO_FIXED 010000
#define _IO_UNITBUF 020000
#define _IO_STDIO 040000
#define _IO_DONT_CLOSE 0100000
#define _IO_BOOLALPHA 0200000


struct _IO_jump_t; struct _IO_FILE;




typedef void _IO_lock_t;





struct _IO_marker {
  struct _IO_marker *_next;
  struct _IO_FILE *_sbuf;



  int _pos;
# 177 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
};


enum __codecvt_result
{
  __codecvt_ok,
  __codecvt_partial,
  __codecvt_error,
  __codecvt_noconv
};
# 245 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
struct _IO_FILE {
  int _flags;
#define _IO_file_flags _flags



  char* _IO_read_ptr;
  char* _IO_read_end;
  char* _IO_read_base;
  char* _IO_write_base;
  char* _IO_write_ptr;
  char* _IO_write_end;
  char* _IO_buf_base;
  char* _IO_buf_end;

  char *_IO_save_base;
  char *_IO_backup_base;
  char *_IO_save_end;

  struct _IO_marker *_markers;

  struct _IO_FILE *_chain;

  int _fileno;



  int _flags2;

  __off_t _old_offset;

#define __HAVE_COLUMN 

  unsigned short _cur_column;
  signed char _vtable_offset;
  char _shortbuf[1];



  _IO_lock_t *_lock;
# 293 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
  __off64_t _offset;







  void *__pad1;
  void *__pad2;
  void *__pad3;
  void *__pad4;

  size_t __pad5;
  int _mode;

  char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];

};





struct _IO_FILE_plus;

extern struct _IO_FILE_plus _IO_2_1_stdin_;
extern struct _IO_FILE_plus _IO_2_1_stdout_;
extern struct _IO_FILE_plus _IO_2_1_stderr_;

#define _IO_stdin ((_IO_FILE*)(&_IO_2_1_stdin_))
#define _IO_stdout ((_IO_FILE*)(&_IO_2_1_stdout_))
#define _IO_stderr ((_IO_FILE*)(&_IO_2_1_stderr_))
# 337 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
typedef __ssize_t __io_read_fn (void *__cookie, char *__buf, size_t __nbytes);







typedef __ssize_t __io_write_fn (void *__cookie, const char *__buf,
     size_t __n);







typedef int __io_seek_fn (void *__cookie, __off64_t *__pos, int __w);


typedef int __io_close_fn (void *__cookie);




typedef __io_read_fn cookie_read_function_t;
typedef __io_write_fn cookie_write_function_t;
typedef __io_seek_fn cookie_seek_function_t;
typedef __io_close_fn cookie_close_function_t;


typedef struct
{
  __io_read_fn *read;
  __io_write_fn *write;
  __io_seek_fn *seek;
  __io_close_fn *close;
} _IO_cookie_io_functions_t;
typedef _IO_cookie_io_functions_t cookie_io_functions_t;

struct _IO_cookie_file;


extern void _IO_cookie_init (struct _IO_cookie_file *__cfile, int __read_write,
        void *__cookie, _IO_cookie_io_functions_t __fns);




extern "C" {


extern int __underflow (_IO_FILE *);
extern int __uflow (_IO_FILE *);
extern int __overflow (_IO_FILE *, int);







#define _IO_BE(expr,res) __builtin_expect ((expr), res)




#define _IO_getc_unlocked(_fp) (_IO_BE ((_fp)->_IO_read_ptr >= (_fp)->_IO_read_end, 0) ? __uflow (_fp) : *(unsigned char *) (_fp)->_IO_read_ptr++)


#define _IO_peekc_unlocked(_fp) (_IO_BE ((_fp)->_IO_read_ptr >= (_fp)->_IO_read_end, 0) && __underflow (_fp) == EOF ? EOF : *(unsigned char *) (_fp)->_IO_read_ptr)



#define _IO_putc_unlocked(_ch,_fp) (_IO_BE ((_fp)->_IO_write_ptr >= (_fp)->_IO_write_end, 0) ? __overflow (_fp, (unsigned char) (_ch)) : (unsigned char) (*(_fp)->_IO_write_ptr++ = (_ch)))
# 430 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
#define _IO_feof_unlocked(__fp) (((__fp)->_flags & _IO_EOF_SEEN) != 0)
#define _IO_ferror_unlocked(__fp) (((__fp)->_flags & _IO_ERR_SEEN) != 0)

extern int _IO_getc (_IO_FILE *__fp);
extern int _IO_putc (int __c, _IO_FILE *__fp);
extern int _IO_feof (_IO_FILE *__fp) throw ();
extern int _IO_ferror (_IO_FILE *__fp) throw ();

extern int _IO_peekc_locked (_IO_FILE *__fp);


#define _IO_PENDING_OUTPUT_COUNT(_fp) ((_fp)->_IO_write_ptr - (_fp)->_IO_write_base)


extern void _IO_flockfile (_IO_FILE *) throw ();
extern void _IO_funlockfile (_IO_FILE *) throw ();
extern int _IO_ftrylockfile (_IO_FILE *) throw ();

#define _IO_peekc(_fp) _IO_peekc_unlocked (_fp)
#define _IO_flockfile(_fp) 
#define _IO_funlockfile(_fp) 
#define _IO_ftrylockfile(_fp) 

#define _IO_cleanup_region_start(_fct,_fp) 


#define _IO_cleanup_region_end(_Doit) 


#define _IO_need_lock(_fp) (((_fp)->_flags2 & _IO_FLAGS2_NEED_LOCK) != 0)


extern int _IO_vfscanf (_IO_FILE * __restrict, const char * __restrict,
   __gnuc_va_list, int *__restrict);
extern int _IO_vfprintf (_IO_FILE *__restrict, const char *__restrict,
    __gnuc_va_list);
extern __ssize_t _IO_padn (_IO_FILE *, int, __ssize_t);
extern size_t _IO_sgetn (_IO_FILE *, void *, size_t);

extern __off64_t _IO_seekoff (_IO_FILE *, __off64_t, int, int);
extern __off64_t _IO_seekpos (_IO_FILE *, __off64_t, int);

extern void _IO_free_backup_area (_IO_FILE *) throw ();
# 524 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
}
# 42 "/usr/include/stdio.h" 2 3 4




typedef __gnuc_va_list va_list;
#define _VA_LIST_DEFINED 
# 78 "/usr/include/stdio.h" 3 4
typedef _G_fpos_t fpos_t;




typedef _G_fpos64_t fpos64_t;



#define _IOFBF 0
#define _IOLBF 1
#define _IONBF 2




#define BUFSIZ _IO_BUFSIZ
# 107 "/usr/include/stdio.h" 3 4
#define SEEK_SET 0
#define SEEK_CUR 1
#define SEEK_END 2

#define SEEK_DATA 3
#define SEEK_HOLE 4





#define P_tmpdir "/tmp"
# 131 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdio_lim.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/stdio_lim.h" 3 4
#define _BITS_STDIO_LIM_H 1





#define L_tmpnam 20
#define TMP_MAX 238328
#define FILENAME_MAX 4096


#define L_ctermid 9

#define L_cuserid 9



#undef FOPEN_MAX
#define FOPEN_MAX 16
# 132 "/usr/include/stdio.h" 2 3 4



extern struct _IO_FILE *stdin;
extern struct _IO_FILE *stdout;
extern struct _IO_FILE *stderr;

#define stdin stdin
#define stdout stdout
#define stderr stderr


extern int remove (const char *__filename) throw ();

extern int rename (const char *__old, const char *__new) throw ();



extern int renameat (int __oldfd, const char *__old, int __newfd,
       const char *__new) throw ();







extern FILE *tmpfile (void) ;
# 169 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile64 (void) ;



extern char *tmpnam (char *__s) throw () ;




extern char *tmpnam_r (char *__s) throw () ;
# 190 "/usr/include/stdio.h" 3 4
extern char *tempnam (const char *__dir, const char *__pfx)
     throw () __attribute__ ((__malloc__)) ;







extern int fclose (FILE *__stream);




extern int fflush (FILE *__stream);
# 213 "/usr/include/stdio.h" 3 4
extern int fflush_unlocked (FILE *__stream);
# 223 "/usr/include/stdio.h" 3 4
extern int fcloseall (void);
# 232 "/usr/include/stdio.h" 3 4
extern FILE *fopen (const char *__restrict __filename,
      const char *__restrict __modes) ;




extern FILE *freopen (const char *__restrict __filename,
        const char *__restrict __modes,
        FILE *__restrict __stream) ;
# 256 "/usr/include/stdio.h" 3 4
extern FILE *fopen64 (const char *__restrict __filename,
        const char *__restrict __modes) ;
extern FILE *freopen64 (const char *__restrict __filename,
   const char *__restrict __modes,
   FILE *__restrict __stream) ;




extern FILE *fdopen (int __fd, const char *__modes) throw () ;





extern FILE *fopencookie (void *__restrict __magic_cookie,
     const char *__restrict __modes,
     _IO_cookie_io_functions_t __io_funcs) throw () ;




extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
  throw () ;




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) throw () ;





extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) throw ();



extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
      int __modes, size_t __n) throw ();




extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
         size_t __size) throw ();


extern void setlinebuf (FILE *__stream) throw ();







extern int fprintf (FILE *__restrict __stream,
      const char *__restrict __format, ...);




extern int printf (const char *__restrict __format, ...);

extern int sprintf (char *__restrict __s,
      const char *__restrict __format, ...) throw ();





extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg);




extern int vprintf (const char *__restrict __format, __gnuc_va_list __arg);

extern int vsprintf (char *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg) throw ();



extern int snprintf (char *__restrict __s, size_t __maxlen,
       const char *__restrict __format, ...)
     throw () __attribute__ ((__format__ (__printf__, 3, 4)));

extern int vsnprintf (char *__restrict __s, size_t __maxlen,
        const char *__restrict __format, __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__printf__, 3, 0)));





extern int vasprintf (char **__restrict __ptr, const char *__restrict __f,
        __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__printf__, 2, 0))) ;
extern int __asprintf (char **__restrict __ptr,
         const char *__restrict __fmt, ...)
     throw () __attribute__ ((__format__ (__printf__, 2, 3))) ;
extern int asprintf (char **__restrict __ptr,
       const char *__restrict __fmt, ...)
     throw () __attribute__ ((__format__ (__printf__, 2, 3))) ;




extern int vdprintf (int __fd, const char *__restrict __fmt,
       __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, const char *__restrict __fmt, ...)
     __attribute__ ((__format__ (__printf__, 2, 3)));







extern int fscanf (FILE *__restrict __stream,
     const char *__restrict __format, ...) ;




extern int scanf (const char *__restrict __format, ...) ;

extern int sscanf (const char *__restrict __s,
     const char *__restrict __format, ...) throw ();
# 420 "/usr/include/stdio.h" 3 4
extern int vfscanf (FILE *__restrict __s, const char *__restrict __format,
      __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 2, 0))) ;





extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 1, 0))) ;


extern int vsscanf (const char *__restrict __s,
      const char *__restrict __format, __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__scanf__, 2, 0)));
# 477 "/usr/include/stdio.h" 3 4
extern int fgetc (FILE *__stream);
extern int getc (FILE *__stream);





extern int getchar (void);



#define getc(_fp) _IO_getc (_fp)






extern int getc_unlocked (FILE *__stream);
extern int getchar_unlocked (void);
# 506 "/usr/include/stdio.h" 3 4
extern int fgetc_unlocked (FILE *__stream);
# 517 "/usr/include/stdio.h" 3 4
extern int fputc (int __c, FILE *__stream);
extern int putc (int __c, FILE *__stream);





extern int putchar (int __c);



#define putc(_ch,_fp) _IO_putc (_ch, _fp)
# 537 "/usr/include/stdio.h" 3 4
extern int fputc_unlocked (int __c, FILE *__stream);







extern int putc_unlocked (int __c, FILE *__stream);
extern int putchar_unlocked (int __c);






extern int getw (FILE *__stream);


extern int putw (int __w, FILE *__stream);







extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
     ;
# 587 "/usr/include/stdio.h" 3 4
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream) ;
# 603 "/usr/include/stdio.h" 3 4
extern __ssize_t __getdelim (char **__restrict __lineptr,
          size_t *__restrict __n, int __delimiter,
          FILE *__restrict __stream) ;
extern __ssize_t getdelim (char **__restrict __lineptr,
        size_t *__restrict __n, int __delimiter,
        FILE *__restrict __stream) ;







extern __ssize_t getline (char **__restrict __lineptr,
       size_t *__restrict __n,
       FILE *__restrict __stream) ;







extern int fputs (const char *__restrict __s, FILE *__restrict __stream);





extern int puts (const char *__s);






extern int ungetc (int __c, FILE *__stream);






extern size_t fread (void *__restrict __ptr, size_t __size,
       size_t __n, FILE *__restrict __stream) ;




extern size_t fwrite (const void *__restrict __ptr, size_t __size,
        size_t __n, FILE *__restrict __s);
# 662 "/usr/include/stdio.h" 3 4
extern int fputs_unlocked (const char *__restrict __s,
      FILE *__restrict __stream);
# 673 "/usr/include/stdio.h" 3 4
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream) ;
extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __stream);







extern int fseek (FILE *__stream, long int __off, int __whence);




extern long int ftell (FILE *__stream) ;




extern void rewind (FILE *__stream);
# 707 "/usr/include/stdio.h" 3 4
extern int fseeko (FILE *__stream, __off_t __off, int __whence);




extern __off_t ftello (FILE *__stream) ;
# 731 "/usr/include/stdio.h" 3 4
extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos);




extern int fsetpos (FILE *__stream, const fpos_t *__pos);
# 750 "/usr/include/stdio.h" 3 4
extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence);
extern __off64_t ftello64 (FILE *__stream) ;
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos);
extern int fsetpos64 (FILE *__stream, const fpos64_t *__pos);



extern void clearerr (FILE *__stream) throw ();

extern int feof (FILE *__stream) throw () ;

extern int ferror (FILE *__stream) throw () ;



extern void clearerr_unlocked (FILE *__stream) throw ();
extern int feof_unlocked (FILE *__stream) throw () ;
extern int ferror_unlocked (FILE *__stream) throw () ;







extern void perror (const char *__s);





# 1 "/usr/include/x86_64-linux-gnu/bits/sys_errlist.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/sys_errlist.h" 3 4
extern int sys_nerr;
extern const char *const sys_errlist[];


extern int _sys_nerr;
extern const char *const _sys_errlist[];
# 782 "/usr/include/stdio.h" 2 3 4




extern int fileno (FILE *__stream) throw () ;




extern int fileno_unlocked (FILE *__stream) throw () ;
# 800 "/usr/include/stdio.h" 3 4
extern FILE *popen (const char *__command, const char *__modes) ;





extern int pclose (FILE *__stream);





extern char *ctermid (char *__s) throw ();





extern char *cuserid (char *__s);




struct obstack;


extern int obstack_printf (struct obstack *__restrict __obstack,
      const char *__restrict __format, ...)
     throw () __attribute__ ((__format__ (__printf__, 2, 3)));
extern int obstack_vprintf (struct obstack *__restrict __obstack,
       const char *__restrict __format,
       __gnuc_va_list __args)
     throw () __attribute__ ((__format__ (__printf__, 2, 0)));







extern void flockfile (FILE *__stream) throw ();



extern int ftrylockfile (FILE *__stream) throw () ;


extern void funlockfile (FILE *__stream) throw ();
# 868 "/usr/include/stdio.h" 3 4
}
# 43 "/usr/include/c++/7/cstdio" 2 3


#define _GLIBCXX_CSTDIO 1






#undef clearerr
#undef fclose
#undef feof
#undef ferror
#undef fflush
#undef fgetc
#undef fgetpos
#undef fgets
#undef fopen
#undef fprintf
#undef fputc
#undef fputs
#undef fread
#undef freopen
#undef fscanf
#undef fseek
#undef fsetpos
#undef ftell
#undef fwrite
#undef getc
#undef getchar



#undef perror
#undef printf
#undef putc
#undef putchar
#undef puts
#undef remove
#undef rename
#undef rewind
#undef scanf
#undef setbuf
#undef setvbuf
#undef sprintf
#undef sscanf
#undef tmpfile
#undef tmpnam
#undef ungetc
#undef vfprintf
#undef vprintf
#undef vsprintf

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 ::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;
}



#undef snprintf
#undef vfscanf
#undef vscanf
#undef vsnprintf
#undef vsscanf

namespace __gnu_cxx
{
# 175 "/usr/include/c++/7/cstdio" 3
  using ::snprintf;
  using ::vfscanf;
  using ::vscanf;
  using ::vsnprintf;
  using ::vsscanf;

}

namespace std
{
  using ::__gnu_cxx::snprintf;
  using ::__gnu_cxx::vfscanf;
  using ::__gnu_cxx::vscanf;
  using ::__gnu_cxx::vsnprintf;
  using ::__gnu_cxx::vsscanf;
}
# 44 "/usr/include/c++/7/ext/string_conversions.h" 2 3
# 1 "/usr/include/c++/7/cerrno" 1 3
# 39 "/usr/include/c++/7/cerrno" 3
       
# 40 "/usr/include/c++/7/cerrno" 3


# 1 "/usr/include/errno.h" 1 3 4
# 23 "/usr/include/errno.h" 3 4
#define _ERRNO_H 1




# 1 "/usr/include/x86_64-linux-gnu/bits/errno.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/errno.h" 3 4
#define _BITS_ERRNO_H 1





# 1 "/usr/include/linux/errno.h" 1 3 4
# 1 "/usr/include/x86_64-linux-gnu/asm/errno.h" 1 3 4
# 1 "/usr/include/asm-generic/errno.h" 1 3 4


#define _ASM_GENERIC_ERRNO_H 

# 1 "/usr/include/asm-generic/errno-base.h" 1 3 4


#define _ASM_GENERIC_ERRNO_BASE_H 

#define EPERM 1
#define ENOENT 2
#define ESRCH 3
#define EINTR 4
#define EIO 5
#define ENXIO 6
#define E2BIG 7
#define ENOEXEC 8
#define EBADF 9
#define ECHILD 10
#define EAGAIN 11
#define ENOMEM 12
#define EACCES 13
#define EFAULT 14
#define ENOTBLK 15
#define EBUSY 16
#define EEXIST 17
#define EXDEV 18
#define ENODEV 19
#define ENOTDIR 20
#define EISDIR 21
#define EINVAL 22
#define ENFILE 23
#define EMFILE 24
#define ENOTTY 25
#define ETXTBSY 26
#define EFBIG 27
#define ENOSPC 28
#define ESPIPE 29
#define EROFS 30
#define EMLINK 31
#define EPIPE 32
#define EDOM 33
#define ERANGE 34
# 6 "/usr/include/asm-generic/errno.h" 2 3 4

#define EDEADLK 35
#define ENAMETOOLONG 36
#define ENOLCK 37
# 18 "/usr/include/asm-generic/errno.h" 3 4
#define ENOSYS 38

#define ENOTEMPTY 39
#define ELOOP 40
#define EWOULDBLOCK EAGAIN
#define ENOMSG 42
#define EIDRM 43
#define ECHRNG 44
#define EL2NSYNC 45
#define EL3HLT 46
#define EL3RST 47
#define ELNRNG 48
#define EUNATCH 49
#define ENOCSI 50
#define EL2HLT 51
#define EBADE 52
#define EBADR 53
#define EXFULL 54
#define ENOANO 55
#define EBADRQC 56
#define EBADSLT 57

#define EDEADLOCK EDEADLK

#define EBFONT 59
#define ENOSTR 60
#define ENODATA 61
#define ETIME 62
#define ENOSR 63
#define ENONET 64
#define ENOPKG 65
#define EREMOTE 66
#define ENOLINK 67
#define EADV 68
#define ESRMNT 69
#define ECOMM 70
#define EPROTO 71
#define EMULTIHOP 72
#define EDOTDOT 73
#define EBADMSG 74
#define EOVERFLOW 75
#define ENOTUNIQ 76
#define EBADFD 77
#define EREMCHG 78
#define ELIBACC 79
#define ELIBBAD 80
#define ELIBSCN 81
#define ELIBMAX 82
#define ELIBEXEC 83
#define EILSEQ 84
#define ERESTART 85
#define ESTRPIPE 86
#define EUSERS 87
#define ENOTSOCK 88
#define EDESTADDRREQ 89
#define EMSGSIZE 90
#define EPROTOTYPE 91
#define ENOPROTOOPT 92
#define EPROTONOSUPPORT 93
#define ESOCKTNOSUPPORT 94
#define EOPNOTSUPP 95
#define EPFNOSUPPORT 96
#define EAFNOSUPPORT 97
#define EADDRINUSE 98
#define EADDRNOTAVAIL 99
#define ENETDOWN 100
#define ENETUNREACH 101
#define ENETRESET 102
#define ECONNABORTED 103
#define ECONNRESET 104
#define ENOBUFS 105
#define EISCONN 106
#define ENOTCONN 107
#define ESHUTDOWN 108
#define ETOOMANYREFS 109
#define ETIMEDOUT 110
#define ECONNREFUSED 111
#define EHOSTDOWN 112
#define EHOSTUNREACH 113
#define EALREADY 114
#define EINPROGRESS 115
#define ESTALE 116
#define EUCLEAN 117
#define ENOTNAM 118
#define ENAVAIL 119
#define EISNAM 120
#define EREMOTEIO 121
#define EDQUOT 122

#define ENOMEDIUM 123
#define EMEDIUMTYPE 124
#define ECANCELED 125
#define ENOKEY 126
#define EKEYEXPIRED 127
#define EKEYREVOKED 128
#define EKEYREJECTED 129


#define EOWNERDEAD 130
#define ENOTRECOVERABLE 131

#define ERFKILL 132

#define EHWPOISON 133
# 1 "/usr/include/x86_64-linux-gnu/asm/errno.h" 2 3 4
# 1 "/usr/include/linux/errno.h" 2 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/errno.h" 2 3 4



#define ENOTSUP EOPNOTSUPP
# 29 "/usr/include/errno.h" 2 3 4





extern "C" {


extern int *__errno_location (void) throw () __attribute__ ((__const__));
#define errno (*__errno_location ())






extern char *program_invocation_name;
extern char *program_invocation_short_name;




#define __error_t_defined 1
typedef int error_t;




}
# 43 "/usr/include/c++/7/cerrno" 2 3


#define _GLIBCXX_CERRNO 1
# 45 "/usr/include/c++/7/ext/string_conversions.h" 2 3

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  template<typename _TRet, typename _Ret = _TRet, typename _CharT,
    typename... _Base>
    _Ret
    __stoa(_TRet (*__convf) (const _CharT*, _CharT**, _Base...),
    const char* __name, const _CharT* __str, std::size_t* __idx,
    _Base... __base)
    {
      _Ret __ret;

      _CharT* __endptr;

      struct _Save_errno {
 _Save_errno() : _M_errno((*__errno_location ())) { (*__errno_location ()) = 0; }
 ~_Save_errno() { if ((*__errno_location ()) == 0) (*__errno_location ()) = _M_errno; }
 int _M_errno;
      } const __save_errno;

      struct _Range_chk {
   static bool
   _S_chk(_TRet, std::false_type) { return false; }

   static bool
   _S_chk(_TRet __val, std::true_type)
   {
     return __val < _TRet(__numeric_traits<int>::__min)
       || __val > _TRet(__numeric_traits<int>::__max);
   }
      };

      const _TRet __tmp = __convf(__str, &__endptr, __base...);

      if (__endptr == __str)
 std::__throw_invalid_argument(__name);
      else if ((*__errno_location ()) == 34
   || _Range_chk::_S_chk(__tmp, std::is_same<_Ret, int>{}))
 std::__throw_out_of_range(__name);
      else
 __ret = __tmp;

      if (__idx)
 *__idx = __endptr - __str;

      return __ret;
    }


  template<typename _String, typename _CharT = typename _String::value_type>
    _String
    __to_xstring(int (*__convf) (_CharT*, std::size_t, const _CharT*,
     __builtin_va_list), std::size_t __n,
   const _CharT* __fmt, ...)
    {


      _CharT* __s = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
         * __n));

      __builtin_va_list __args;
      __builtin_va_start(__args, __fmt);

      const int __len = __convf(__s, __n, __fmt, __args);

      __builtin_va_end(__args);

      return _String(__s, __s + __len);
    }


}
# 6353 "/usr/include/c++/7/bits/basic_string.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

namespace __cxx11 {



  inline int
  stoi(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::strtol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtold, "stold", __str.c_str(), __idx); }






  inline string
  to_string(int __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, 4 * sizeof(int),
        "%d", __val); }

  inline string
  to_string(unsigned __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned),
        "%u", __val); }

  inline string
  to_string(long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, 4 * sizeof(long),
        "%ld", __val); }

  inline string
  to_string(unsigned long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned long),
        "%lu", __val); }

  inline string
  to_string(long long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(long long),
        "%lld", __val); }

  inline string
  to_string(unsigned long long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned long long),
        "%llu", __val); }

  inline string
  to_string(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  inline string
  to_string(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  inline string
  to_string(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%Lf", __val);
  }



  inline int
  stoi(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::wcstol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstold, "stold", __str.c_str(), __idx); }



  inline wstring
  to_wstring(int __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, 4 * sizeof(int),
         L"%d", __val); }

  inline wstring
  to_wstring(unsigned __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned),
         L"%u", __val); }

  inline wstring
  to_wstring(long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, 4 * sizeof(long),
         L"%ld", __val); }

  inline wstring
  to_wstring(unsigned long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned long),
         L"%lu", __val); }

  inline wstring
  to_wstring(long long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(long long),
         L"%lld", __val); }

  inline wstring
  to_wstring(unsigned long long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned long long),
         L"%llu", __val); }

  inline wstring
  to_wstring(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%f", __val);
  }

  inline wstring
  to_wstring(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%f", __val);
  }

  inline wstring
  to_wstring(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%Lf", __val);
  }



}

}





# 1 "/usr/include/c++/7/bits/functional_hash.h" 1 3
# 31 "/usr/include/c++/7/bits/functional_hash.h" 3
#define _FUNCTIONAL_HASH_H 1

       
# 34 "/usr/include/c++/7/bits/functional_hash.h" 3



namespace std __attribute__ ((__visibility__ ("default")))
{

# 49 "/usr/include/c++/7/bits/functional_hash.h" 3
  template<typename _Result, typename _Arg>
    struct __hash_base
    {
      typedef _Result result_type;
      typedef _Arg argument_type;
    };


  template<typename _Tp>
    struct hash;

  template<typename _Tp, typename = void>
    struct __poison_hash
    {
      static constexpr bool __enable_hash_call = false;
    private:

      __poison_hash(__poison_hash&&);
      ~__poison_hash();
    };

  template<typename _Tp>
    struct __poison_hash<_Tp, __void_t<decltype(hash<_Tp>()(declval<_Tp>()))>>
    {
      static constexpr bool __enable_hash_call = true;
    };


  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __hash_enum
    {
    private:

      __hash_enum(__hash_enum&&);
      ~__hash_enum();
    };


  template<typename _Tp>
    struct __hash_enum<_Tp, true> : public __hash_base<size_t, _Tp>
    {
      size_t
      operator()(_Tp __val) const noexcept
      {
       using __type = typename underlying_type<_Tp>::type;
       return hash<__type>{}(static_cast<__type>(__val));
      }
    };



  template<typename _Tp>
    struct hash : __hash_enum<_Tp>
    { };


  template<typename _Tp>
    struct hash<_Tp*> : public __hash_base<size_t, _Tp*>
    {
      size_t
      operator()(_Tp* __p) const noexcept
      { return reinterpret_cast<size_t>(__p); }
    };


#define _Cxx_hashtable_define_trivial_hash(_Tp) template<> struct hash<_Tp> : public __hash_base<size_t, _Tp> { size_t operator()(_Tp __val) const noexcept { return static_cast<size_t>(__val); } };
# 124 "/usr/include/c++/7/bits/functional_hash.h" 3
  template<> struct hash<bool> : public __hash_base<size_t, bool> { size_t operator()(bool __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char> : public __hash_base<size_t, char> { size_t operator()(char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<signed char> : public __hash_base<size_t, signed char> { size_t operator()(signed char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned char> : public __hash_base<size_t, unsigned char> { size_t operator()(unsigned char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<wchar_t> : public __hash_base<size_t, wchar_t> { size_t operator()(wchar_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char16_t> : public __hash_base<size_t, char16_t> { size_t operator()(char16_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char32_t> : public __hash_base<size_t, char32_t> { size_t operator()(char32_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<short> : public __hash_base<size_t, short> { size_t operator()(short __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<int> : public __hash_base<size_t, int> { size_t operator()(int __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<long> : public __hash_base<size_t, long> { size_t operator()(long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<long long> : public __hash_base<size_t, long long> { size_t operator()(long long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned short> : public __hash_base<size_t, unsigned short> { size_t operator()(unsigned short __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned int> : public __hash_base<size_t, unsigned int> { size_t operator()(unsigned int __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned long> : public __hash_base<size_t, unsigned long> { size_t operator()(unsigned long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned long long> : public __hash_base<size_t, unsigned long long> { size_t operator()(unsigned long long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<__int128> : public __hash_base<size_t, __int128> { size_t operator()(__int128 __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<__int128 unsigned> : public __hash_base<size_t, __int128 unsigned> { size_t operator()(__int128 unsigned __val) const noexcept { return static_cast<size_t>(__val); } };
# 185 "/usr/include/c++/7/bits/functional_hash.h" 3
#undef _Cxx_hashtable_define_trivial_hash

  struct _Hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(0xc70f6907UL))
    { return _Hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  struct _Fnv_hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(2166136261UL))
    { return _Fnv_hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  template<>
    struct hash<float> : public __hash_base<size_t, float>
    {
      size_t
      operator()(float __val) const noexcept
      {

 return __val != 0.0f ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<double> : public __hash_base<size_t, double>
    {
      size_t
      operator()(double __val) const noexcept
      {

 return __val != 0.0 ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<long double>
    : public __hash_base<size_t, long double>
    {
      __attribute__ ((__pure__)) size_t
      operator()(long double __val) const noexcept;
    };







  template<typename _Hash>
    struct __is_fast_hash : public std::true_type
    { };

  template<>
    struct __is_fast_hash<hash<long double>> : public std::false_type
    { };


}
# 6579 "/usr/include/c++/7/bits/basic_string.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{






  template<>
    struct hash<string>
    : public __hash_base<size_t, string>
    {
      size_t
      operator()(const string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(), __s.length()); }
    };

  template<>
    struct __is_fast_hash<hash<string>> : std::false_type
    { };



  template<>
    struct hash<wstring>
    : public __hash_base<size_t, wstring>
    {
      size_t
      operator()(const wstring& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(wchar_t)); }
    };

  template<>
    struct __is_fast_hash<hash<wstring>> : std::false_type
    { };





  template<>
    struct hash<u16string>
    : public __hash_base<size_t, u16string>
    {
      size_t
      operator()(const u16string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char16_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u16string>> : std::false_type
    { };


  template<>
    struct hash<u32string>
    : public __hash_base<size_t, u32string>
    {
      size_t
      operator()(const u32string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char32_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u32string>> : std::false_type
    { };






#define __cpp_lib_string_udls 201304

  inline namespace literals
  {
  inline namespace string_literals
  {


    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char>
    operator""s(const char* __str, size_t __len)
    { return basic_string<char>{__str, __len}; }


    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<wchar_t>
    operator""s(const wchar_t* __str, size_t __len)
    { return basic_string<wchar_t>{__str, __len}; }



    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char16_t>
    operator""s(const char16_t* __str, size_t __len)
    { return basic_string<char16_t>{__str, __len}; }

    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char32_t>
    operator""s(const char32_t* __str, size_t __len)
    { return basic_string<char32_t>{__str, __len}; }



  }
  }



}
# 53 "/usr/include/c++/7/string" 2 3
# 1 "/usr/include/c++/7/bits/basic_string.tcc" 1 3
# 40 "/usr/include/c++/7/bits/basic_string.tcc" 3
#define _BASIC_STRING_TCC 1

       
# 43 "/usr/include/c++/7/bits/basic_string.tcc" 3



namespace std __attribute__ ((__visibility__ ("default")))
{




  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>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    swap(basic_string& __s) noexcept
    {
      if (this == &__s)
 return;

      _Alloc_traits::_S_on_swap(_M_get_allocator(), __s._M_get_allocator());

      if (_M_is_local())
 if (__s._M_is_local())
   {
     if (length() && __s.length())
       {
  _CharT __tmp_data[_S_local_capacity + 1];
  traits_type::copy(__tmp_data, __s._M_local_buf,
      _S_local_capacity + 1);
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      _S_local_capacity + 1);
  traits_type::copy(_M_local_buf, __tmp_data,
      _S_local_capacity + 1);
       }
     else if (__s.length())
       {
  traits_type::copy(_M_local_buf, __s._M_local_buf,
      _S_local_capacity + 1);
  _M_length(__s.length());
  __s._M_set_length(0);
  return;
       }
     else if (length())
       {
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      _S_local_capacity + 1);
  __s._M_length(length());
  _M_set_length(0);
  return;
       }
   }
 else
   {
     const size_type __tmp_capacity = __s._M_allocated_capacity;
     traits_type::copy(__s._M_local_buf, _M_local_buf,
         _S_local_capacity + 1);
     _M_data(__s._M_data());
     __s._M_data(__s._M_local_buf);
     _M_capacity(__tmp_capacity);
   }
      else
 {
   const size_type __tmp_capacity = _M_allocated_capacity;
   if (__s._M_is_local())
     {
       traits_type::copy(_M_local_buf, __s._M_local_buf,
    _S_local_capacity + 1);
       __s._M_data(_M_data());
       _M_data(_M_local_buf);
     }
   else
     {
       pointer __tmp_ptr = _M_data();
       _M_data(__s._M_data());
       __s._M_data(__tmp_ptr);
       _M_capacity(__s._M_allocated_capacity);
     }
   __s._M_capacity(__tmp_capacity);
 }

      const size_type __tmp_length = length();
      _M_length(__s.length());
      __s._M_length(__tmp_length);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::pointer
    basic_string<_CharT, _Traits, _Alloc>::
    _M_create(size_type& __capacity, size_type __old_capacity)
    {


      if (__capacity > max_size())
 std::__throw_length_error(("basic_string::_M_create"));




      if (__capacity > __old_capacity && __capacity < 2 * __old_capacity)
 {
   __capacity = 2 * __old_capacity;

   if (__capacity > max_size())
     __capacity = max_size();
 }



      return _Alloc_traits::allocate(_M_get_allocator(), __capacity + 1);
    }





  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::input_iterator_tag)
      {
 size_type __len = 0;
 size_type __capacity = size_type(_S_local_capacity);

 while (__beg != __end && __len < __capacity)
   {
     _M_data()[__len++] = *__beg;
     ++__beg;
   }

 try
   {
     while (__beg != __end)
       {
  if (__len == __capacity)
    {

      __capacity = __len + 1;
      pointer __another = _M_create(__capacity, __len);
      this->_S_copy(__another, _M_data(), __len);
      _M_dispose();
      _M_data(__another);
      _M_capacity(__capacity);
    }
  _M_data()[__len++] = *__beg;
  ++__beg;
       }
   }
 catch(...)
   {
     _M_dispose();
     throw;
   }

 _M_set_length(__len);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::forward_iterator_tag)
      {

 if (__gnu_cxx::__is_null_pointer(__beg) && __beg != __end)
   std::__throw_logic_error(("basic_string::" "_M_construct null not valid")
                                         );

 size_type __dnew = static_cast<size_type>(std::distance(__beg, __end));

 if (__dnew > size_type(_S_local_capacity))
   {
     _M_data(_M_create(__dnew, size_type(0)));
     _M_capacity(__dnew);
   }


 try
   { this->_S_copy_chars(_M_data(), __beg, __end); }
 catch(...)
   {
     _M_dispose();
     throw;
   }

 _M_set_length(__dnew);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_construct(size_type __n, _CharT __c)
    {
      if (__n > size_type(_S_local_capacity))
 {
   _M_data(_M_create(__n, size_type(0)));
   _M_capacity(__n);
 }

      if (__n)
 this->_S_assign(_M_data(), __n, __c);

      _M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_assign(const basic_string& __str)
    {
      if (this != &__str)
 {
   const size_type __rsize = __str.length();
   const size_type __capacity = capacity();

   if (__rsize > __capacity)
     {
       size_type __new_capacity = __rsize;
       pointer __tmp = _M_create(__new_capacity, __capacity);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__new_capacity);
     }

   if (__rsize)
     this->_S_copy(_M_data(), __str._M_data(), __rsize);

   _M_set_length(__rsize);
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    reserve(size_type __res)
    {

      if (__res < length())
 __res = length();

      const size_type __capacity = capacity();
      if (__res != __capacity)
 {
   if (__res > __capacity
       || __res > size_type(_S_local_capacity))
     {
       pointer __tmp = _M_create(__res, __capacity);
       this->_S_copy(__tmp, _M_data(), length() + 1);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__res);
     }
   else if (!_M_is_local())
     {
       this->_S_copy(_M_local_data(), _M_data(), length() + 1);
       _M_destroy(__capacity);
       _M_data(_M_local_data());
     }
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
       size_type __len2)
    {
      const size_type __how_much = length() - __pos - __len1;

      size_type __new_capacity = length() + __len2 - __len1;
      pointer __r = _M_create(__new_capacity, capacity());

      if (__pos)
 this->_S_copy(__r, _M_data(), __pos);
      if (__s && __len2)
 this->_S_copy(__r + __pos, __s, __len2);
      if (__how_much)
 this->_S_copy(__r + __pos + __len2,
        _M_data() + __pos + __len1, __how_much);

      _M_dispose();
      _M_data(__r);
      _M_capacity(__new_capacity);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_erase(size_type __pos, size_type __n)
    {
      const size_type __how_much = length() - __pos - __n;

      if (__how_much && __n)
 this->_S_move(_M_data() + __pos, _M_data() + __pos + __n, __how_much);

      _M_set_length(length() - __n);
    }

  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();
      if (__size < __n)
 this->append(__n - __size, __c);
      else if (__n < __size)
 this->_M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_append(const _CharT* __s, size_type __n)
    {
      const size_type __len = __n + this->size();

      if (__len <= this->capacity())
 {
   if (__n)
     this->_S_copy(this->_M_data() + this->size(), __s, __n);
 }
      else
 this->_M_mutate(this->size(), size_type(0), __s, __n);

      this->_M_set_length(__len);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InputIterator>
      basic_string<_CharT, _Traits, _Alloc>&
      basic_string<_CharT, _Traits, _Alloc>::
      _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
     _InputIterator __k1, _InputIterator __k2,
     std::__false_type)
      {
 const basic_string __s(__k1, __k2);
 const size_type __n1 = __i2 - __i1;
 return _M_replace(__i1 - begin(), __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");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __n2 - __n1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos1;

   const size_type __how_much = __old_size - __pos1 - __n1;
   if (__how_much && __n1 != __n2)
     this->_S_move(__p + __n2, __p + __n1, __how_much);
 }
      else
 this->_M_mutate(__pos1, __n1, 0, __n2);

      if (__n2)
 this->_S_assign(this->_M_data() + __pos1, __n2, __c);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
        const size_type __len2)
    {
      _M_check_length(__len1, __len2, "basic_string::_M_replace");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __len2 - __len1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos;

   const size_type __how_much = __old_size - __pos - __len1;
   if (_M_disjunct(__s))
     {
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2)
  this->_S_copy(__p, __s, __len2);
     }
   else
     {

       if (__len2 && __len2 <= __len1)
  this->_S_move(__p, __s, __len2);
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2 > __len1)
  {
    if (__s + __len2 <= __p + __len1)
      this->_S_move(__p, __s, __len2);
    else if (__s >= __p + __len1)
      this->_S_copy(__p, __s + __len2 - __len1, __len2);
    else
      {
        const size_type __nleft = (__p + __len1) - __s;
        this->_S_move(__p, __s, __nleft);
        this->_S_copy(__p + __nleft, __p + __len2,
        __len2 - __nleft);
      }
  }
     }
 }
      else
 this->_M_mutate(__pos, __len1, __s, __len2);

      this->_M_set_length(__new_size);
      return *this;
    }

  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)
 _S_copy(__s, _M_data() + __pos, __n);

      return __n;
    }
# 1155 "/usr/include/c++/7/bits/basic_string.tcc" 3
  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>::
    find(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();

      if (__n == 0)
 return __pos <= __size ? __pos : npos;
      if (__pos >= __size)
 return npos;

      const _CharT __elem0 = __s[0];
      const _CharT* const __data = data();
      const _CharT* __first = __data + __pos;
      const _CharT* const __last = __data + __size;
      size_type __len = __size - __pos;

      while (__len >= __n)
 {

   __first = traits_type::find(__first, __len - __n + 1, __elem0);
   if (!__first)
     return npos;



   if (traits_type::compare(__first, __s, __n) == 0)
     return __first - __data;
   __len = __last - ++__first;
 }
      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 noexcept
    {
      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
    noexcept
    {
      ;
      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 noexcept
    {
      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
    noexcept
    {
      ;
      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
    noexcept
    {
      ;
      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
    noexcept
    {
      ;
      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 noexcept
    {
      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
    noexcept
    {
      ;
      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 noexcept
    {
      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 noexcept
    {
      ;
      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;
    }
# 1607 "/usr/include/c++/7/bits/basic_string.tcc" 3
  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&);




}
# 54 "/usr/include/c++/7/string" 2 3
# 40 "/usr/include/c++/7/stdexcept" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{





  struct __cow_string
  {
    union {
      const char* _M_p;
      char _M_bytes[sizeof(const char*)];
    };

    __cow_string();
    __cow_string(const std::string&);
    __cow_string(const char*, size_t);
    __cow_string(const __cow_string&) noexcept;
    __cow_string& operator=(const __cow_string&) noexcept;
    ~__cow_string();

    __cow_string(__cow_string&&) noexcept;
    __cow_string& operator=(__cow_string&&) noexcept;

  };

  typedef basic_string<char> __sso_string;
# 113 "/usr/include/c++/7/stdexcept" 3
  class logic_error : public exception
  {
    __cow_string _M_msg;

  public:

    explicit
    logic_error(const string& __arg) ;


    explicit
    logic_error(const char*) ;



    logic_error(const logic_error&) noexcept;
    logic_error& operator=(const logic_error&) noexcept;


    virtual ~logic_error() noexcept;



    virtual const char*
    what() const noexcept;





  };



  class domain_error : public logic_error
  {
  public:
    explicit domain_error(const string& __arg) ;

    explicit domain_error(const char*) ;

    virtual ~domain_error() noexcept;
  };


  class invalid_argument : public logic_error
  {
  public:
    explicit invalid_argument(const string& __arg) ;

    explicit invalid_argument(const char*) ;

    virtual ~invalid_argument() noexcept;
  };



  class length_error : public logic_error
  {
  public:
    explicit length_error(const string& __arg) ;

    explicit length_error(const char*) ;

    virtual ~length_error() noexcept;
  };



  class out_of_range : public logic_error
  {
  public:
    explicit out_of_range(const string& __arg) ;

    explicit out_of_range(const char*) ;

    virtual ~out_of_range() noexcept;
  };






  class runtime_error : public exception
  {
    __cow_string _M_msg;

  public:

    explicit
    runtime_error(const string& __arg) ;


    explicit
    runtime_error(const char*) ;



    runtime_error(const runtime_error&) noexcept;
    runtime_error& operator=(const runtime_error&) noexcept;


    virtual ~runtime_error() noexcept;



    virtual const char*
    what() const noexcept;





  };


  class range_error : public runtime_error
  {
  public:
    explicit range_error(const string& __arg) ;

    explicit range_error(const char*) ;

    virtual ~range_error() noexcept;
  };


  class overflow_error : public runtime_error
  {
  public:
    explicit overflow_error(const string& __arg) ;

    explicit overflow_error(const char*) ;

    virtual ~overflow_error() noexcept;
  };


  class underflow_error : public runtime_error
  {
  public:
    explicit underflow_error(const string& __arg) ;

    explicit underflow_error(const char*) ;

    virtual ~underflow_error() noexcept;
  };




}
# 40 "/usr/include/c++/7/array" 2 3



namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Tp, std::size_t _Nm>
    struct __array_traits
    {
      typedef _Tp _Type[_Nm];
      typedef __is_swappable<_Tp> _Is_swappable;
      typedef __is_nothrow_swappable<_Tp> _Is_nothrow_swappable;

      static constexpr _Tp&
      _S_ref(const _Type& __t, std::size_t __n) noexcept
      { return const_cast<_Tp&>(__t[__n]); }

      static constexpr _Tp*
      _S_ptr(const _Type& __t) noexcept
      { return const_cast<_Tp*>(__t); }
    };

 template<typename _Tp>
   struct __array_traits<_Tp, 0>
   {
     struct _Type { };
     typedef true_type _Is_swappable;
     typedef true_type _Is_nothrow_swappable;

     static constexpr _Tp&
     _S_ref(const _Type&, std::size_t) noexcept
     { return *static_cast<_Tp*>(nullptr); }

     static constexpr _Tp*
     _S_ptr(const _Type&) noexcept
     { return nullptr; }
   };
# 93 "/usr/include/c++/7/array" 3
  template<typename _Tp, std::size_t _Nm>
    struct array
    {
      typedef _Tp value_type;
      typedef value_type* pointer;
      typedef const value_type* const_pointer;
      typedef value_type& reference;
      typedef const value_type& const_reference;
      typedef value_type* iterator;
      typedef const value_type* const_iterator;
      typedef std::size_t size_type;
      typedef std::ptrdiff_t difference_type;
      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;


      typedef std::__array_traits<_Tp, _Nm> _AT_Type;
      typename _AT_Type::_Type _M_elems;




      void
      fill(const value_type& __u)
      { std::fill_n(begin(), size(), __u); }

      void
      swap(array& __other)
      noexcept(_AT_Type::_Is_nothrow_swappable::value)
      { std::swap_ranges(begin(), end(), __other.begin()); }


      iterator
      begin() noexcept
      { return iterator(data()); }

      const_iterator
      begin() const noexcept
      { return const_iterator(data()); }

      iterator
      end() noexcept
      { return iterator(data() + _Nm); }

      const_iterator
      end() const noexcept
      { return const_iterator(data() + _Nm); }

      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }

      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }

      reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }

      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }

      const_iterator
      cbegin() const noexcept
      { return const_iterator(data()); }

      const_iterator
      cend() const noexcept
      { return const_iterator(data() + _Nm); }

      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(end()); }

      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(begin()); }


      constexpr size_type
      size() const noexcept { return _Nm; }

      constexpr size_type
      max_size() const noexcept { return _Nm; }

      constexpr bool
      empty() const noexcept { return size() == 0; }


      reference
      operator[](size_type __n) noexcept
      { return _AT_Type::_S_ref(_M_elems, __n); }

      constexpr const_reference
      operator[](size_type __n) const noexcept
      { return _AT_Type::_S_ref(_M_elems, __n); }

      reference
      at(size_type __n)
      {
 if (__n >= _Nm)
   std::__throw_out_of_range_fmt(("array::at: __n (which is %zu) " ">= _Nm (which is %zu)")
                                 ,
     __n, _Nm);
 return _AT_Type::_S_ref(_M_elems, __n);
      }

      constexpr const_reference
      at(size_type __n) const
      {


 return __n < _Nm ? _AT_Type::_S_ref(_M_elems, __n)
   : (std::__throw_out_of_range_fmt(("array::at: __n (which is %zu) " ">= _Nm (which is %zu)")
                                    ,
        __n, _Nm),
      _AT_Type::_S_ref(_M_elems, 0));
      }

      reference
      front() noexcept
      { return *begin(); }

      constexpr const_reference
      front() const noexcept
      { return _AT_Type::_S_ref(_M_elems, 0); }

      reference
      back() noexcept
      { return _Nm ? *(end() - 1) : *end(); }

      constexpr const_reference
      back() const noexcept
      {
 return _Nm ? _AT_Type::_S_ref(_M_elems, _Nm - 1)
             : _AT_Type::_S_ref(_M_elems, 0);
      }

      pointer
      data() noexcept
      { return _AT_Type::_S_ptr(_M_elems); }

      const_pointer
      data() const noexcept
      { return _AT_Type::_S_ptr(_M_elems); }
    };
# 250 "/usr/include/c++/7/array" 3
  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator==(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return std::equal(__one.begin(), __one.end(), __two.begin()); }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator!=(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return !(__one == __two); }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator<(const array<_Tp, _Nm>& __a, const array<_Tp, _Nm>& __b)
    {
      return std::lexicographical_compare(__a.begin(), __a.end(),
       __b.begin(), __b.end());
    }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator>(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return __two < __one; }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator<=(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return !(__one > __two); }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator>=(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return !(__one < __two); }


  template<typename _Tp, std::size_t _Nm>
    inline


    typename enable_if<
      std::__array_traits<_Tp, _Nm>::_Is_swappable::value
    >::type



    swap(array<_Tp, _Nm>& __one, array<_Tp, _Nm>& __two)
    noexcept(noexcept(__one.swap(__two)))
    { __one.swap(__two); }


  template<typename _Tp, std::size_t _Nm>
    typename enable_if<
      !std::__array_traits<_Tp, _Nm>::_Is_swappable::value>::type
    swap(array<_Tp, _Nm>&, array<_Tp, _Nm>&) = delete;


  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr _Tp&
    get(array<_Tp, _Nm>& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::__array_traits<_Tp, _Nm>::
 _S_ref(__arr._M_elems, _Int);
    }

  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr _Tp&&
    get(array<_Tp, _Nm>&& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::move(std::get<_Int>(__arr));
    }

  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr const _Tp&
    get(const array<_Tp, _Nm>& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::__array_traits<_Tp, _Nm>::
 _S_ref(__arr._M_elems, _Int);
    }


}

namespace std __attribute__ ((__visibility__ ("default")))
{





  template<typename _Tp>
    class tuple_size;


  template<typename _Tp, std::size_t _Nm>
    struct tuple_size<std::array<_Tp, _Nm>>
    : public integral_constant<std::size_t, _Nm> { };


  template<std::size_t _Int, typename _Tp>
    class tuple_element;


  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    struct tuple_element<_Int, std::array<_Tp, _Nm>>
    {
      static_assert(_Int < _Nm, "index is out of bounds");
      typedef _Tp type;
    };

  template<typename _Tp, std::size_t _Nm>
    struct __is_tuple_like_impl<std::array<_Tp, _Nm>> : true_type
    { };


}
# 12 "../blaspp.h" 2
# 1 "../bppindex.h" 1







# 1 "/usr/include/c++/7/cstddef" 1 3
# 40 "/usr/include/c++/7/cstddef" 3
#define _GLIBCXX_CSTDDEF 1

       
# 43 "/usr/include/c++/7/cstddef" 3

#undef __need_wchar_t
#undef __need_ptrdiff_t
#undef __need_size_t
#undef __need_NULL
#undef __need_wint_t

# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 51 "/usr/include/c++/7/cstddef" 2 3


namespace std
{

  using ::max_align_t;
}
# 9 "../bppindex.h" 2


# 1 "/usr/include/c++/7/limits" 1 3
# 38 "/usr/include/c++/7/limits" 3
#define _GLIBCXX_NUMERIC_LIMITS 1

       
# 41 "/usr/include/c++/7/limits" 3
# 80 "/usr/include/c++/7/limits" 3
#define __glibcxx_integral_traps true
# 89 "/usr/include/c++/7/limits" 3
#define __glibcxx_float_has_denorm_loss false


#define __glibcxx_float_traps false


#define __glibcxx_float_tinyness_before false







#define __glibcxx_double_has_denorm_loss false


#define __glibcxx_double_traps false


#define __glibcxx_double_tinyness_before false







#define __glibcxx_long_double_has_denorm_loss false


#define __glibcxx_long_double_traps false


#define __glibcxx_long_double_tinyness_before false




#define __glibcxx_signed_b(T,B) ((T)(-1) < 0)

#define __glibcxx_min_b(T,B) (__glibcxx_signed_b (T,B) ? -__glibcxx_max_b (T,B) - 1 : (T)0)


#define __glibcxx_max_b(T,B) (__glibcxx_signed_b (T,B) ? (((((T)1 << (__glibcxx_digits_b (T,B) - 1)) - 1) << 1) + 1) : ~(T)0)



#define __glibcxx_digits_b(T,B) (B - __glibcxx_signed_b (T,B))



#define __glibcxx_digits10_b(T,B) (__glibcxx_digits_b (T,B) * 643L / 2136)


#define __glibcxx_signed(T) __glibcxx_signed_b (T, sizeof(T) * __CHAR_BIT__)

#define __glibcxx_min(T) __glibcxx_min_b (T, sizeof(T) * __CHAR_BIT__)

#define __glibcxx_max(T) __glibcxx_max_b (T, sizeof(T) * __CHAR_BIT__)

#define __glibcxx_digits(T) __glibcxx_digits_b (T, sizeof(T) * __CHAR_BIT__)

#define __glibcxx_digits10(T) __glibcxx_digits10_b (T, sizeof(T) * __CHAR_BIT__)


#define __glibcxx_max_digits10(T) (2 + (T) * 643L / 2136)


namespace std __attribute__ ((__visibility__ ("default")))
{







  enum float_round_style
  {
    round_indeterminate = -1,
    round_toward_zero = 0,
    round_to_nearest = 1,
    round_toward_infinity = 2,
    round_toward_neg_infinity = 3
  };







  enum float_denorm_style
  {

    denorm_indeterminate = -1,

    denorm_absent = 0,

    denorm_present = 1
  };
# 202 "/usr/include/c++/7/limits" 3
  struct __numeric_limits_base
  {


    static constexpr bool is_specialized = false;




    static constexpr int digits = 0;


    static constexpr int digits10 = 0;




    static constexpr int max_digits10 = 0;



    static constexpr bool is_signed = false;


    static constexpr bool is_integer = false;




    static constexpr bool is_exact = false;



    static constexpr int radix = 0;



    static constexpr int min_exponent = 0;



    static constexpr int min_exponent10 = 0;




    static constexpr int max_exponent = 0;



    static constexpr int max_exponent10 = 0;


    static constexpr bool has_infinity = false;



    static constexpr bool has_quiet_NaN = false;



    static constexpr bool has_signaling_NaN = false;


    static constexpr float_denorm_style has_denorm = denorm_absent;



    static constexpr bool has_denorm_loss = false;



    static constexpr bool is_iec559 = false;




    static constexpr bool is_bounded = false;
# 288 "/usr/include/c++/7/limits" 3
    static constexpr bool is_modulo = false;


    static constexpr bool traps = false;


    static constexpr bool tinyness_before = false;




    static constexpr float_round_style round_style =
          round_toward_zero;
  };
# 311 "/usr/include/c++/7/limits" 3
  template<typename _Tp>
    struct numeric_limits : public __numeric_limits_base
    {


      static constexpr _Tp
      min() noexcept { return _Tp(); }


      static constexpr _Tp
      max() noexcept { return _Tp(); }




      static constexpr _Tp
      lowest() noexcept { return _Tp(); }




      static constexpr _Tp
      epsilon() noexcept { return _Tp(); }


      static constexpr _Tp
      round_error() noexcept { return _Tp(); }


      static constexpr _Tp
      infinity() noexcept { return _Tp(); }



      static constexpr _Tp
      quiet_NaN() noexcept { return _Tp(); }



      static constexpr _Tp
      signaling_NaN() noexcept { return _Tp(); }




      static constexpr _Tp
      denorm_min() noexcept { return _Tp(); }
    };




  template<typename _Tp>
    struct numeric_limits<const _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<volatile _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<const volatile _Tp>
    : public numeric_limits<_Tp> { };
# 382 "/usr/include/c++/7/limits" 3
  template<>
    struct numeric_limits<bool>
    {
      static constexpr bool is_specialized = true;

      static constexpr bool
      min() noexcept { return false; }

      static constexpr bool
      max() noexcept { return true; }


      static constexpr bool
      lowest() noexcept { return min(); }

      static constexpr int digits = 1;
      static constexpr int digits10 = 0;

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr bool
      epsilon() noexcept { return false; }

      static constexpr bool
      round_error() noexcept { return false; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr bool
      infinity() noexcept { return false; }

      static constexpr bool
      quiet_NaN() noexcept { return false; }

      static constexpr bool
      signaling_NaN() noexcept { return false; }

      static constexpr bool
      denorm_min() noexcept { return false; }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;




      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<char>
    {
      static constexpr bool is_specialized = true;

      static constexpr char
      min() noexcept { return (((char)(-1) < 0) ? -(((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0) - 1 : (char)0); }

      static constexpr char
      max() noexcept { return (((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0); }


      static constexpr char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(char) * 8 - ((char)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char) * 8 - ((char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((char)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char
      epsilon() noexcept { return 0; }

      static constexpr char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr
      char infinity() noexcept { return char(); }

      static constexpr char
      quiet_NaN() noexcept { return char(); }

      static constexpr char
      signaling_NaN() noexcept { return char(); }

      static constexpr char
      denorm_min() noexcept { return static_cast<char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<signed char>
    {
      static constexpr bool is_specialized = true;

      static constexpr signed char
      min() noexcept { return -0x7f - 1; }

      static constexpr signed char
      max() noexcept { return 0x7f; }


      static constexpr signed char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(signed char) * 8 - ((signed char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(signed char) * 8 - ((signed char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr signed char
      epsilon() noexcept { return 0; }

      static constexpr signed char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr signed char
      infinity() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      quiet_NaN() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      signaling_NaN() noexcept
      { return static_cast<signed char>(0); }

      static constexpr signed char
      denorm_min() noexcept
      { return static_cast<signed char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned char>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned char
      min() noexcept { return 0; }

      static constexpr unsigned char
      max() noexcept { return 0x7f * 2U + 1; }


      static constexpr unsigned char
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned char
      epsilon() noexcept { return 0; }

      static constexpr unsigned char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned char
      infinity() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      quiet_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      signaling_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      denorm_min() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<wchar_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr wchar_t
      min() noexcept { return (((wchar_t)(-1) < 0) ? -(((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0) - 1 : (wchar_t)0); }

      static constexpr wchar_t
      max() noexcept { return (((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0); }


      static constexpr wchar_t
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((wchar_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr wchar_t
      epsilon() noexcept { return 0; }

      static constexpr wchar_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr wchar_t
      infinity() noexcept { return wchar_t(); }

      static constexpr wchar_t
      quiet_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      signaling_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      denorm_min() noexcept { return wchar_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };



  template<>
    struct numeric_limits<char16_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char16_t
      min() noexcept { return (((char16_t)(-1) < 0) ? -(((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0) - 1 : (char16_t)0); }

      static constexpr char16_t
      max() noexcept { return (((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0); }

      static constexpr char16_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char16_t) * 8 - ((char16_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char16_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char16_t
      epsilon() noexcept { return 0; }

      static constexpr char16_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char16_t
      infinity() noexcept { return char16_t(); }

      static constexpr char16_t
      quiet_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      signaling_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      denorm_min() noexcept { return char16_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };


  template<>
    struct numeric_limits<char32_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char32_t
      min() noexcept { return (((char32_t)(-1) < 0) ? -(((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0) - 1 : (char32_t)0); }

      static constexpr char32_t
      max() noexcept { return (((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0); }

      static constexpr char32_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char32_t) * 8 - ((char32_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char32_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char32_t
      epsilon() noexcept { return 0; }

      static constexpr char32_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char32_t
      infinity() noexcept { return char32_t(); }

      static constexpr char32_t
      quiet_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      signaling_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      denorm_min() noexcept { return char32_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };



  template<>
    struct numeric_limits<short>
    {
      static constexpr bool is_specialized = true;

      static constexpr short
      min() noexcept { return -0x7fff - 1; }

      static constexpr short
      max() noexcept { return 0x7fff; }


      static constexpr short
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(short) * 8 - ((short)(-1) < 0));
      static constexpr int digits10 = ((sizeof(short) * 8 - ((short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr short
      epsilon() noexcept { return 0; }

      static constexpr short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr short
      infinity() noexcept { return short(); }

      static constexpr short
      quiet_NaN() noexcept { return short(); }

      static constexpr short
      signaling_NaN() noexcept { return short(); }

      static constexpr short
      denorm_min() noexcept { return short(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned short>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned short
      min() noexcept { return 0; }

      static constexpr unsigned short
      max() noexcept { return 0x7fff * 2U + 1; }


      static constexpr unsigned short
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned short
      epsilon() noexcept { return 0; }

      static constexpr unsigned short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned short
      infinity() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      quiet_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      signaling_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      denorm_min() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<int>
    {
      static constexpr bool is_specialized = true;

      static constexpr int
      min() noexcept { return -0x7fffffff - 1; }

      static constexpr int
      max() noexcept { return 0x7fffffff; }


      static constexpr int
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(int) * 8 - ((int)(-1) < 0));
      static constexpr int digits10 = ((sizeof(int) * 8 - ((int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr int
      epsilon() noexcept { return 0; }

      static constexpr int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr int
      infinity() noexcept { return static_cast<int>(0); }

      static constexpr int
      quiet_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      signaling_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      denorm_min() noexcept { return static_cast<int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned int>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned int
      min() noexcept { return 0; }

      static constexpr unsigned int
      max() noexcept { return 0x7fffffff * 2U + 1; }


      static constexpr unsigned int
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned int
      epsilon() noexcept { return 0; }

      static constexpr unsigned int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned int
      infinity() noexcept { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      quiet_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      signaling_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      denorm_min() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long
      min() noexcept { return -0x7fffffffffffffffL - 1; }

      static constexpr long
      max() noexcept { return 0x7fffffffffffffffL; }


      static constexpr long
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(long) * 8 - ((long)(-1) < 0));
      static constexpr int digits10 = ((sizeof(long) * 8 - ((long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long
      epsilon() noexcept { return 0; }

      static constexpr long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long
      infinity() noexcept { return static_cast<long>(0); }

      static constexpr long
      quiet_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      signaling_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      denorm_min() noexcept { return static_cast<long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long
      min() noexcept { return 0; }

      static constexpr unsigned long
      max() noexcept { return 0x7fffffffffffffffL * 2UL + 1; }


      static constexpr unsigned long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long
      infinity() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      quiet_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      signaling_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      denorm_min() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long long
      min() noexcept { return -0x7fffffffffffffffLL - 1; }

      static constexpr long long
      max() noexcept { return 0x7fffffffffffffffLL; }


      static constexpr long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(long long) * 8 - ((long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(long long) * 8 - ((long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long long
      epsilon() noexcept { return 0; }

      static constexpr long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long long
      infinity() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      quiet_NaN() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      signaling_NaN() noexcept
      { return static_cast<long long>(0); }

      static constexpr long long
      denorm_min() noexcept { return static_cast<long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long long
      min() noexcept { return 0; }

      static constexpr unsigned long long
      max() noexcept { return 0x7fffffffffffffffLL * 2ULL + 1; }


      static constexpr unsigned long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long long
      infinity() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      quiet_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      signaling_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      denorm_min() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };



#define __INT_N(TYPE,BITSIZE,EXT,UEXT) template<> struct numeric_limits<TYPE> { static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; static _GLIBCXX_CONSTEXPR TYPE min() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_min_b (TYPE, BITSIZE); } static _GLIBCXX_CONSTEXPR TYPE max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max_b (TYPE, BITSIZE); } static _GLIBCXX_USE_CONSTEXPR int digits = BITSIZE - 1; static _GLIBCXX_USE_CONSTEXPR int digits10 = (BITSIZE - 1) * 643L / 2136; static _GLIBCXX_USE_CONSTEXPR bool is_signed = true; static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; static _GLIBCXX_USE_CONSTEXPR int radix = 2; static _GLIBCXX_CONSTEXPR TYPE epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } static _GLIBCXX_CONSTEXPR TYPE round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } EXT static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm = denorm_absent; static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; static _GLIBCXX_CONSTEXPR TYPE infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<TYPE>(0); } static _GLIBCXX_CONSTEXPR TYPE quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<TYPE>(0); } static _GLIBCXX_CONSTEXPR TYPE signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<TYPE>(0); } static _GLIBCXX_CONSTEXPR TYPE denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<TYPE>(0); } static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; static _GLIBCXX_USE_CONSTEXPR bool is_modulo = false; static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; static _GLIBCXX_USE_CONSTEXPR float_round_style round_style = round_toward_zero; }; template<> struct numeric_limits<unsigned TYPE> { static _GLIBCXX_USE_CONSTEXPR bool is_specialized = true; static _GLIBCXX_CONSTEXPR unsigned TYPE min() _GLIBCXX_USE_NOEXCEPT { return 0; } static _GLIBCXX_CONSTEXPR unsigned TYPE max() _GLIBCXX_USE_NOEXCEPT { return __glibcxx_max_b (unsigned TYPE, BITSIZE); } UEXT static _GLIBCXX_USE_CONSTEXPR int digits = BITSIZE; static _GLIBCXX_USE_CONSTEXPR int digits10 = BITSIZE * 643L / 2136; static _GLIBCXX_USE_CONSTEXPR bool is_signed = false; static _GLIBCXX_USE_CONSTEXPR bool is_integer = true; static _GLIBCXX_USE_CONSTEXPR bool is_exact = true; static _GLIBCXX_USE_CONSTEXPR int radix = 2; static _GLIBCXX_CONSTEXPR unsigned TYPE epsilon() _GLIBCXX_USE_NOEXCEPT { return 0; } static _GLIBCXX_CONSTEXPR unsigned TYPE round_error() _GLIBCXX_USE_NOEXCEPT { return 0; } static _GLIBCXX_USE_CONSTEXPR int min_exponent = 0; static _GLIBCXX_USE_CONSTEXPR int min_exponent10 = 0; static _GLIBCXX_USE_CONSTEXPR int max_exponent = 0; static _GLIBCXX_USE_CONSTEXPR int max_exponent10 = 0; static _GLIBCXX_USE_CONSTEXPR bool has_infinity = false; static _GLIBCXX_USE_CONSTEXPR bool has_quiet_NaN = false; static _GLIBCXX_USE_CONSTEXPR bool has_signaling_NaN = false; static _GLIBCXX_USE_CONSTEXPR float_denorm_style has_denorm = denorm_absent; static _GLIBCXX_USE_CONSTEXPR bool has_denorm_loss = false; static _GLIBCXX_CONSTEXPR unsigned TYPE infinity() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned TYPE>(0); } static _GLIBCXX_CONSTEXPR unsigned TYPE quiet_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned TYPE>(0); } static _GLIBCXX_CONSTEXPR unsigned TYPE signaling_NaN() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned TYPE>(0); } static _GLIBCXX_CONSTEXPR unsigned TYPE denorm_min() _GLIBCXX_USE_NOEXCEPT { return static_cast<unsigned TYPE>(0); } static _GLIBCXX_USE_CONSTEXPR bool is_iec559 = false; static _GLIBCXX_USE_CONSTEXPR bool is_bounded = true; static _GLIBCXX_USE_CONSTEXPR bool is_modulo = true; static _GLIBCXX_USE_CONSTEXPR bool traps = __glibcxx_integral_traps; static _GLIBCXX_USE_CONSTEXPR bool tinyness_before = false; static _GLIBCXX_USE_CONSTEXPR float_round_style round_style = round_toward_zero; };
# 1554 "/usr/include/c++/7/limits" 3
#define __INT_N_201103(TYPE) static constexpr TYPE lowest() noexcept { return min(); } static constexpr int max_digits10 = 0;




#define __INT_N_U201103(TYPE) static constexpr unsigned TYPE lowest() noexcept { return min(); } static constexpr int max_digits10 = 0;
# 1570 "/usr/include/c++/7/limits" 3
  template<> struct numeric_limits<__int128> { static constexpr bool is_specialized = true; static constexpr __int128 min() noexcept { return (((__int128)(-1) < 0) ? -(((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0) - 1 : (__int128)0); } static constexpr __int128 max() noexcept { return (((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0); } static constexpr int digits = 128 - 1; static constexpr int digits10 = (128 - 1) * 643L / 2136; static constexpr bool is_signed = true; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr __int128 epsilon() noexcept { return 0; } static constexpr __int128 round_error() noexcept { return 0; } static constexpr __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr __int128 infinity() noexcept { return static_cast<__int128>(0); } static constexpr __int128 quiet_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 signaling_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 denorm_min() noexcept { return static_cast<__int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; }; template<> struct numeric_limits<unsigned __int128> { static constexpr bool is_specialized = true; static constexpr unsigned __int128 min() noexcept { return 0; } static constexpr unsigned __int128 max() noexcept { return (((unsigned __int128)(-1) < 0) ? (((((unsigned __int128)1 << ((128 - ((unsigned __int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(unsigned __int128)0); } static constexpr unsigned __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int digits = 128; static constexpr int digits10 = 128 * 643L / 2136; static constexpr bool is_signed = false; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr unsigned __int128 epsilon() noexcept { return 0; } static constexpr unsigned __int128 round_error() noexcept { return 0; } static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr unsigned __int128 infinity() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 quiet_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 signaling_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 denorm_min() noexcept { return static_cast<unsigned __int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = true; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; };
# 1586 "/usr/include/c++/7/limits" 3
#undef __INT_N
#undef __INT_N_201103
#undef __INT_N_U201103




  template<>
    struct numeric_limits<float>
    {
      static constexpr bool is_specialized = true;

      static constexpr float
      min() noexcept { return 1.17549435082228750796873653722224568e-38F; }

      static constexpr float
      max() noexcept { return 3.40282346638528859811704183484516925e+38F; }


      static constexpr float
      lowest() noexcept { return -3.40282346638528859811704183484516925e+38F; }


      static constexpr int digits = 24;
      static constexpr int digits10 = 6;

      static constexpr int max_digits10
  = (2 + (24) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr float
      epsilon() noexcept { return 1.19209289550781250000000000000000000e-7F; }

      static constexpr float
      round_error() noexcept { return 0.5F; }

      static constexpr int min_exponent = (-125);
      static constexpr int min_exponent10 = (-37);
      static constexpr int max_exponent = 128;
      static constexpr int max_exponent10 = 38;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
       = false;

      static constexpr float
      infinity() noexcept { return __builtin_huge_valf(); }

      static constexpr float
      quiet_NaN() noexcept { return __builtin_nanf(""); }

      static constexpr float
      signaling_NaN() noexcept { return __builtin_nansf(""); }

      static constexpr float
      denorm_min() noexcept { return 1.40129846432481707092372958328991613e-45F; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };

#undef __glibcxx_float_has_denorm_loss
#undef __glibcxx_float_traps
#undef __glibcxx_float_tinyness_before


  template<>
    struct numeric_limits<double>
    {
      static constexpr bool is_specialized = true;

      static constexpr double
      min() noexcept { return double(2.22507385850720138309023271733240406e-308L); }

      static constexpr double
      max() noexcept { return double(1.79769313486231570814527423731704357e+308L); }


      static constexpr double
      lowest() noexcept { return -double(1.79769313486231570814527423731704357e+308L); }


      static constexpr int digits = 53;
      static constexpr int digits10 = 15;

      static constexpr int max_digits10
  = (2 + (53) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr double
      epsilon() noexcept { return double(2.22044604925031308084726333618164062e-16L); }

      static constexpr double
      round_error() noexcept { return 0.5; }

      static constexpr int min_exponent = (-1021);
      static constexpr int min_exponent10 = (-307);
      static constexpr int max_exponent = 1024;
      static constexpr int max_exponent10 = 308;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
        = false;

      static constexpr double
      infinity() noexcept { return __builtin_huge_val(); }

      static constexpr double
      quiet_NaN() noexcept { return __builtin_nan(""); }

      static constexpr double
      signaling_NaN() noexcept { return __builtin_nans(""); }

      static constexpr double
      denorm_min() noexcept { return double(4.94065645841246544176568792868221372e-324L); }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };

#undef __glibcxx_double_has_denorm_loss
#undef __glibcxx_double_traps
#undef __glibcxx_double_tinyness_before


  template<>
    struct numeric_limits<long double>
    {
      static constexpr bool is_specialized = true;

      static constexpr long double
      min() noexcept { return 3.36210314311209350626267781732175260e-4932L; }

      static constexpr long double
      max() noexcept { return 1.18973149535723176502126385303097021e+4932L; }


      static constexpr long double
      lowest() noexcept { return -1.18973149535723176502126385303097021e+4932L; }


      static constexpr int digits = 64;
      static constexpr int digits10 = 18;

      static constexpr int max_digits10
  = (2 + (64) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr long double
      epsilon() noexcept { return 1.08420217248550443400745280086994171e-19L; }

      static constexpr long double
      round_error() noexcept { return 0.5L; }

      static constexpr int min_exponent = (-16381);
      static constexpr int min_exponent10 = (-4931);
      static constexpr int max_exponent = 16384;
      static constexpr int max_exponent10 = 4932;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
 = false;

      static constexpr long double
      infinity() noexcept { return __builtin_huge_vall(); }

      static constexpr long double
      quiet_NaN() noexcept { return __builtin_nanl(""); }

      static constexpr long double
      signaling_NaN() noexcept { return __builtin_nansl(""); }

      static constexpr long double
      denorm_min() noexcept { return 3.64519953188247460252840593361941982e-4951L; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before =
      false;
      static constexpr float_round_style round_style =
            round_to_nearest;
    };

#undef __glibcxx_long_double_has_denorm_loss
#undef __glibcxx_long_double_traps
#undef __glibcxx_long_double_tinyness_before


}

#undef __glibcxx_signed
#undef __glibcxx_min
#undef __glibcxx_max
#undef __glibcxx_digits
#undef __glibcxx_digits10
#undef __glibcxx_max_digits10
# 12 "../bppindex.h" 2
# 1 "/usr/include/c++/7/set" 1 3
# 56 "/usr/include/c++/7/set" 3
#define _GLIBCXX_SET 1

       
# 59 "/usr/include/c++/7/set" 3

# 1 "/usr/include/c++/7/bits/stl_tree.h" 1 3
# 59 "/usr/include/c++/7/bits/stl_tree.h" 3
#define _STL_TREE_H 1

       
# 62 "/usr/include/c++/7/bits/stl_tree.h" 3







# 1 "/usr/include/c++/7/ext/aligned_buffer.h" 1 3
# 30 "/usr/include/c++/7/ext/aligned_buffer.h" 3
#define _ALIGNED_BUFFER_H 1

       
# 33 "/usr/include/c++/7/ext/aligned_buffer.h" 3







namespace __gnu_cxx
{




  template<typename _Tp>
    struct __aligned_membuf
    {



      struct _Tp2 { _Tp _M_t; };

      alignas(__alignof__(_Tp2::_M_t)) unsigned char _M_storage[sizeof(_Tp)];

      __aligned_membuf() = default;


      __aligned_membuf(std::nullptr_t) { }

      void*
      _M_addr() noexcept
      { return static_cast<void*>(&_M_storage); }

      const void*
      _M_addr() const noexcept
      { return static_cast<const void*>(&_M_storage); }

      _Tp*
      _M_ptr() noexcept
      { return static_cast<_Tp*>(_M_addr()); }

      const _Tp*
      _M_ptr() const noexcept
      { return static_cast<const _Tp*>(_M_addr()); }
    };






  template<typename _Tp>
    struct __aligned_buffer
    : std::aligned_storage<sizeof(_Tp), std::alignment_of<_Tp>::value>
    {
      typename
 std::aligned_storage<sizeof(_Tp), std::alignment_of<_Tp>::value>::type
 _M_storage;

      __aligned_buffer() = default;


      __aligned_buffer(std::nullptr_t) { }

      void*
      _M_addr() noexcept
      {
        return static_cast<void*>(&_M_storage);
      }

      const void*
      _M_addr() const noexcept
      {
        return static_cast<const void*>(&_M_storage);
      }

      _Tp*
      _M_ptr() noexcept
      { return static_cast<_Tp*>(_M_addr()); }

      const _Tp*
      _M_ptr() const noexcept
      { return static_cast<const _Tp*>(_M_addr()); }
    };

}
# 70 "/usr/include/c++/7/bits/stl_tree.h" 2 3





namespace std __attribute__ ((__visibility__ ("default")))
{



#define __cpp_lib_generic_associative_lookup 201304
# 99 "/usr/include/c++/7/bits/stl_tree.h" 3
  enum _Rb_tree_color { _S_red = false, _S_black = true };

  struct _Rb_tree_node_base
  {
    typedef _Rb_tree_node_base* _Base_ptr;
    typedef const _Rb_tree_node_base* _Const_Base_ptr;

    _Rb_tree_color _M_color;
    _Base_ptr _M_parent;
    _Base_ptr _M_left;
    _Base_ptr _M_right;

    static _Base_ptr
    _S_minimum(_Base_ptr __x) noexcept
    {
      while (__x->_M_left != 0) __x = __x->_M_left;
      return __x;
    }

    static _Const_Base_ptr
    _S_minimum(_Const_Base_ptr __x) noexcept
    {
      while (__x->_M_left != 0) __x = __x->_M_left;
      return __x;
    }

    static _Base_ptr
    _S_maximum(_Base_ptr __x) noexcept
    {
      while (__x->_M_right != 0) __x = __x->_M_right;
      return __x;
    }

    static _Const_Base_ptr
    _S_maximum(_Const_Base_ptr __x) noexcept
    {
      while (__x->_M_right != 0) __x = __x->_M_right;
      return __x;
    }
  };


  template<typename _Key_compare>
    struct _Rb_tree_key_compare
    {
      _Key_compare _M_key_compare;

      _Rb_tree_key_compare()
      noexcept(is_nothrow_default_constructible<_Key_compare>::value)

      : _M_key_compare()
      { }

      _Rb_tree_key_compare(const _Key_compare& __comp)
      : _M_key_compare(__comp)
      { }



      _Rb_tree_key_compare(const _Rb_tree_key_compare&) = default;

      _Rb_tree_key_compare(_Rb_tree_key_compare&& __x)
 noexcept(is_nothrow_copy_constructible<_Key_compare>::value)
      : _M_key_compare(__x._M_key_compare)
      { }

    };


  struct _Rb_tree_header
  {
    _Rb_tree_node_base _M_header;
    size_t _M_node_count;

    _Rb_tree_header() noexcept
    {
      _M_header._M_color = _S_red;
      _M_reset();
    }


    _Rb_tree_header(_Rb_tree_header&& __x) noexcept
    {
      if (__x._M_header._M_parent != nullptr)
 _M_move_data(__x);
      else
 {
   _M_header._M_color = _S_red;
   _M_reset();
 }
    }


    void
    _M_move_data(_Rb_tree_header& __from)
    {
      _M_header._M_color = __from._M_header._M_color;
      _M_header._M_parent = __from._M_header._M_parent;
      _M_header._M_left = __from._M_header._M_left;
      _M_header._M_right = __from._M_header._M_right;
      _M_header._M_parent->_M_parent = &_M_header;
      _M_node_count = __from._M_node_count;

      __from._M_reset();
    }

    void
    _M_reset()
    {
      _M_header._M_parent = 0;
      _M_header._M_left = &_M_header;
      _M_header._M_right = &_M_header;
      _M_node_count = 0;
    }
  };

  template<typename _Val>
    struct _Rb_tree_node : public _Rb_tree_node_base
    {
      typedef _Rb_tree_node<_Val>* _Link_type;
# 231 "/usr/include/c++/7/bits/stl_tree.h" 3
      __gnu_cxx::__aligned_membuf<_Val> _M_storage;

      _Val*
      _M_valptr()
      { return _M_storage._M_ptr(); }

      const _Val*
      _M_valptr() const
      { return _M_storage._M_ptr(); }

    };

  __attribute__ ((__pure__)) _Rb_tree_node_base*
  _Rb_tree_increment(_Rb_tree_node_base* __x) throw ();

  __attribute__ ((__pure__)) const _Rb_tree_node_base*
  _Rb_tree_increment(const _Rb_tree_node_base* __x) throw ();

  __attribute__ ((__pure__)) _Rb_tree_node_base*
  _Rb_tree_decrement(_Rb_tree_node_base* __x) throw ();

  __attribute__ ((__pure__)) const _Rb_tree_node_base*
  _Rb_tree_decrement(const _Rb_tree_node_base* __x) throw ();

  template<typename _Tp>
    struct _Rb_tree_iterator
    {
      typedef _Tp value_type;
      typedef _Tp& reference;
      typedef _Tp* pointer;

      typedef bidirectional_iterator_tag iterator_category;
      typedef ptrdiff_t difference_type;

      typedef _Rb_tree_iterator<_Tp> _Self;
      typedef _Rb_tree_node_base::_Base_ptr _Base_ptr;
      typedef _Rb_tree_node<_Tp>* _Link_type;

      _Rb_tree_iterator() noexcept
      : _M_node() { }

      explicit
      _Rb_tree_iterator(_Base_ptr __x) noexcept
      : _M_node(__x) { }

      reference
      operator*() const noexcept
      { return *static_cast<_Link_type>(_M_node)->_M_valptr(); }

      pointer
      operator->() const noexcept
      { return static_cast<_Link_type> (_M_node)->_M_valptr(); }

      _Self&
      operator++() noexcept
      {
 _M_node = _Rb_tree_increment(_M_node);
 return *this;
      }

      _Self
      operator++(int) noexcept
      {
 _Self __tmp = *this;
 _M_node = _Rb_tree_increment(_M_node);
 return __tmp;
      }

      _Self&
      operator--() noexcept
      {
 _M_node = _Rb_tree_decrement(_M_node);
 return *this;
      }

      _Self
      operator--(int) noexcept
      {
 _Self __tmp = *this;
 _M_node = _Rb_tree_decrement(_M_node);
 return __tmp;
      }

      bool
      operator==(const _Self& __x) const noexcept
      { return _M_node == __x._M_node; }

      bool
      operator!=(const _Self& __x) const noexcept
      { return _M_node != __x._M_node; }

      _Base_ptr _M_node;
  };

  template<typename _Tp>
    struct _Rb_tree_const_iterator
    {
      typedef _Tp value_type;
      typedef const _Tp& reference;
      typedef const _Tp* pointer;

      typedef _Rb_tree_iterator<_Tp> iterator;

      typedef bidirectional_iterator_tag iterator_category;
      typedef ptrdiff_t difference_type;

      typedef _Rb_tree_const_iterator<_Tp> _Self;
      typedef _Rb_tree_node_base::_Const_Base_ptr _Base_ptr;
      typedef const _Rb_tree_node<_Tp>* _Link_type;

      _Rb_tree_const_iterator() noexcept
      : _M_node() { }

      explicit
      _Rb_tree_const_iterator(_Base_ptr __x) noexcept
      : _M_node(__x) { }

      _Rb_tree_const_iterator(const iterator& __it) noexcept
      : _M_node(__it._M_node) { }

      iterator
      _M_const_cast() const noexcept
      { return iterator(const_cast<typename iterator::_Base_ptr>(_M_node)); }

      reference
      operator*() const noexcept
      { return *static_cast<_Link_type>(_M_node)->_M_valptr(); }

      pointer
      operator->() const noexcept
      { return static_cast<_Link_type>(_M_node)->_M_valptr(); }

      _Self&
      operator++() noexcept
      {
 _M_node = _Rb_tree_increment(_M_node);
 return *this;
      }

      _Self
      operator++(int) noexcept
      {
 _Self __tmp = *this;
 _M_node = _Rb_tree_increment(_M_node);
 return __tmp;
      }

      _Self&
      operator--() noexcept
      {
 _M_node = _Rb_tree_decrement(_M_node);
 return *this;
      }

      _Self
      operator--(int) noexcept
      {
 _Self __tmp = *this;
 _M_node = _Rb_tree_decrement(_M_node);
 return __tmp;
      }

      bool
      operator==(const _Self& __x) const noexcept
      { return _M_node == __x._M_node; }

      bool
      operator!=(const _Self& __x) const noexcept
      { return _M_node != __x._M_node; }

      _Base_ptr _M_node;
    };

  template<typename _Val>
    inline bool
    operator==(const _Rb_tree_iterator<_Val>& __x,
               const _Rb_tree_const_iterator<_Val>& __y) noexcept
    { return __x._M_node == __y._M_node; }

  template<typename _Val>
    inline bool
    operator!=(const _Rb_tree_iterator<_Val>& __x,
               const _Rb_tree_const_iterator<_Val>& __y) noexcept
    { return __x._M_node != __y._M_node; }

  void
  _Rb_tree_insert_and_rebalance(const bool __insert_left,
                                _Rb_tree_node_base* __x,
                                _Rb_tree_node_base* __p,
                                _Rb_tree_node_base& __header) throw ();

  _Rb_tree_node_base*
  _Rb_tree_rebalance_for_erase(_Rb_tree_node_base* const __z,
          _Rb_tree_node_base& __header) throw ();


  template<typename _Cmp, typename _SfinaeType, typename = __void_t<>>
    struct __has_is_transparent
    { };

  template<typename _Cmp, typename _SfinaeType>
    struct __has_is_transparent<_Cmp, _SfinaeType,
    __void_t<typename _Cmp::is_transparent>>
    { typedef void type; };







  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc = allocator<_Val> >
    class _Rb_tree
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
        rebind<_Rb_tree_node<_Val> >::other _Node_allocator;

      typedef __gnu_cxx::__alloc_traits<_Node_allocator> _Alloc_traits;

    protected:
      typedef _Rb_tree_node_base* _Base_ptr;
      typedef const _Rb_tree_node_base* _Const_Base_ptr;
      typedef _Rb_tree_node<_Val>* _Link_type;
      typedef const _Rb_tree_node<_Val>* _Const_Link_type;

    private:


      struct _Reuse_or_alloc_node
      {
 _Reuse_or_alloc_node(_Rb_tree& __t)
   : _M_root(__t._M_root()), _M_nodes(__t._M_rightmost()), _M_t(__t)
 {
   if (_M_root)
     {
       _M_root->_M_parent = 0;

       if (_M_nodes->_M_left)
  _M_nodes = _M_nodes->_M_left;
     }
   else
     _M_nodes = 0;
 }


 _Reuse_or_alloc_node(const _Reuse_or_alloc_node&) = delete;


 ~_Reuse_or_alloc_node()
 { _M_t._M_erase(static_cast<_Link_type>(_M_root)); }

 template<typename _Arg>
   _Link_type



   operator()(_Arg&& __arg)

   {
     _Link_type __node = static_cast<_Link_type>(_M_extract());
     if (__node)
       {
  _M_t._M_destroy_node(__node);
  _M_t._M_construct_node(__node, std::forward<_Arg>(__arg));
  return __node;
       }

     return _M_t._M_create_node(std::forward<_Arg>(__arg));
   }

      private:
 _Base_ptr
 _M_extract()
 {
   if (!_M_nodes)
     return _M_nodes;

   _Base_ptr __node = _M_nodes;
   _M_nodes = _M_nodes->_M_parent;
   if (_M_nodes)
     {
       if (_M_nodes->_M_right == __node)
  {
    _M_nodes->_M_right = 0;

    if (_M_nodes->_M_left)
      {
        _M_nodes = _M_nodes->_M_left;

        while (_M_nodes->_M_right)
   _M_nodes = _M_nodes->_M_right;

        if (_M_nodes->_M_left)
   _M_nodes = _M_nodes->_M_left;
      }
  }
       else
  _M_nodes->_M_left = 0;
     }
   else
     _M_root = 0;

   return __node;
 }

 _Base_ptr _M_root;
 _Base_ptr _M_nodes;
 _Rb_tree& _M_t;
      };



      struct _Alloc_node
      {
 _Alloc_node(_Rb_tree& __t)
   : _M_t(__t) { }

 template<typename _Arg>
   _Link_type



   operator()(_Arg&& __arg) const

   { return _M_t._M_create_node(std::forward<_Arg>(__arg)); }

      private:
 _Rb_tree& _M_t;
      };

    public:
      typedef _Key key_type;
      typedef _Val value_type;
      typedef value_type* pointer;
      typedef const value_type* const_pointer;
      typedef value_type& reference;
      typedef const value_type& const_reference;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Alloc allocator_type;

      _Node_allocator&
      _M_get_Node_allocator() noexcept
      { return *static_cast<_Node_allocator*>(&this->_M_impl); }

      const _Node_allocator&
      _M_get_Node_allocator() const noexcept
      { return *static_cast<const _Node_allocator*>(&this->_M_impl); }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_get_Node_allocator()); }

    protected:
      _Link_type
      _M_get_node()
      { return _Alloc_traits::allocate(_M_get_Node_allocator(), 1); }

      void
      _M_put_node(_Link_type __p) noexcept
      { _Alloc_traits::deallocate(_M_get_Node_allocator(), __p, 1); }
# 619 "/usr/include/c++/7/bits/stl_tree.h" 3
      template<typename... _Args>
 void
 _M_construct_node(_Link_type __node, _Args&&... __args)
 {
   try
     {
       ::new(__node) _Rb_tree_node<_Val>;
       _Alloc_traits::construct(_M_get_Node_allocator(),
           __node->_M_valptr(),
           std::forward<_Args>(__args)...);
     }
   catch(...)
     {
       __node->~_Rb_tree_node<_Val>();
       _M_put_node(__node);
       throw;
     }
 }

      template<typename... _Args>
        _Link_type
        _M_create_node(_Args&&... __args)
 {
   _Link_type __tmp = _M_get_node();
   _M_construct_node(__tmp, std::forward<_Args>(__args)...);
   return __tmp;
 }

      void
      _M_destroy_node(_Link_type __p) noexcept
      {
 _Alloc_traits::destroy(_M_get_Node_allocator(), __p->_M_valptr());
 __p->~_Rb_tree_node<_Val>();
      }


      void
      _M_drop_node(_Link_type __p) noexcept
      {
 _M_destroy_node(__p);
 _M_put_node(__p);
      }

      template<typename _NodeGen>
 _Link_type
 _M_clone_node(_Const_Link_type __x, _NodeGen& __node_gen)
 {
   _Link_type __tmp = __node_gen(*__x->_M_valptr());
   __tmp->_M_color = __x->_M_color;
   __tmp->_M_left = 0;
   __tmp->_M_right = 0;
   return __tmp;
 }

    protected:

      template<typename _Key_compare,
        bool = __is_pod(_Key_compare)>
        struct _Rb_tree_impl
 : public _Node_allocator
 , public _Rb_tree_key_compare<_Key_compare>
 , public _Rb_tree_header
        {
   typedef _Rb_tree_key_compare<_Key_compare> _Base_key_compare;





   _Rb_tree_impl() = default;
   _Rb_tree_impl(_Rb_tree_impl&&) = default;


   _Rb_tree_impl(const _Rb_tree_impl& __x)
   : _Node_allocator(_Alloc_traits::_S_select_on_copy(__x))
   , _Base_key_compare(__x._M_key_compare)
   { }






   _Rb_tree_impl(const _Key_compare& __comp, _Node_allocator&& __a)
   : _Node_allocator(std::move(__a)), _Base_key_compare(__comp)
   { }

 };

      _Rb_tree_impl<_Compare> _M_impl;

    protected:
      _Base_ptr&
      _M_root() noexcept
      { return this->_M_impl._M_header._M_parent; }

      _Const_Base_ptr
      _M_root() const noexcept
      { return this->_M_impl._M_header._M_parent; }

      _Base_ptr&
      _M_leftmost() noexcept
      { return this->_M_impl._M_header._M_left; }

      _Const_Base_ptr
      _M_leftmost() const noexcept
      { return this->_M_impl._M_header._M_left; }

      _Base_ptr&
      _M_rightmost() noexcept
      { return this->_M_impl._M_header._M_right; }

      _Const_Base_ptr
      _M_rightmost() const noexcept
      { return this->_M_impl._M_header._M_right; }

      _Link_type
      _M_begin() noexcept
      { return static_cast<_Link_type>(this->_M_impl._M_header._M_parent); }

      _Const_Link_type
      _M_begin() const noexcept
      {
 return static_cast<_Const_Link_type>
   (this->_M_impl._M_header._M_parent);
      }

      _Base_ptr
      _M_end() noexcept
      { return &this->_M_impl._M_header; }

      _Const_Base_ptr
      _M_end() const noexcept
      { return &this->_M_impl._M_header; }

      static const_reference
      _S_value(_Const_Link_type __x)
      { return *__x->_M_valptr(); }

      static const _Key&
      _S_key(_Const_Link_type __x)
      { return _KeyOfValue()(_S_value(__x)); }

      static _Link_type
      _S_left(_Base_ptr __x) noexcept
      { return static_cast<_Link_type>(__x->_M_left); }

      static _Const_Link_type
      _S_left(_Const_Base_ptr __x) noexcept
      { return static_cast<_Const_Link_type>(__x->_M_left); }

      static _Link_type
      _S_right(_Base_ptr __x) noexcept
      { return static_cast<_Link_type>(__x->_M_right); }

      static _Const_Link_type
      _S_right(_Const_Base_ptr __x) noexcept
      { return static_cast<_Const_Link_type>(__x->_M_right); }

      static const_reference
      _S_value(_Const_Base_ptr __x)
      { return *static_cast<_Const_Link_type>(__x)->_M_valptr(); }

      static const _Key&
      _S_key(_Const_Base_ptr __x)
      { return _KeyOfValue()(_S_value(__x)); }

      static _Base_ptr
      _S_minimum(_Base_ptr __x) noexcept
      { return _Rb_tree_node_base::_S_minimum(__x); }

      static _Const_Base_ptr
      _S_minimum(_Const_Base_ptr __x) noexcept
      { return _Rb_tree_node_base::_S_minimum(__x); }

      static _Base_ptr
      _S_maximum(_Base_ptr __x) noexcept
      { return _Rb_tree_node_base::_S_maximum(__x); }

      static _Const_Base_ptr
      _S_maximum(_Const_Base_ptr __x) noexcept
      { return _Rb_tree_node_base::_S_maximum(__x); }

    public:
      typedef _Rb_tree_iterator<value_type> iterator;
      typedef _Rb_tree_const_iterator<value_type> const_iterator;

      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
# 816 "/usr/include/c++/7/bits/stl_tree.h" 3
      pair<_Base_ptr, _Base_ptr>
      _M_get_insert_unique_pos(const key_type& __k);

      pair<_Base_ptr, _Base_ptr>
      _M_get_insert_equal_pos(const key_type& __k);

      pair<_Base_ptr, _Base_ptr>
      _M_get_insert_hint_unique_pos(const_iterator __pos,
        const key_type& __k);

      pair<_Base_ptr, _Base_ptr>
      _M_get_insert_hint_equal_pos(const_iterator __pos,
       const key_type& __k);

    private:

      template<typename _Arg, typename _NodeGen>
        iterator
 _M_insert_(_Base_ptr __x, _Base_ptr __y, _Arg&& __v, _NodeGen&);

      iterator
      _M_insert_node(_Base_ptr __x, _Base_ptr __y, _Link_type __z);

      template<typename _Arg>
        iterator
        _M_insert_lower(_Base_ptr __y, _Arg&& __v);

      template<typename _Arg>
        iterator
        _M_insert_equal_lower(_Arg&& __x);

      iterator
      _M_insert_lower_node(_Base_ptr __p, _Link_type __z);

      iterator
      _M_insert_equal_lower_node(_Link_type __z);
# 867 "/usr/include/c++/7/bits/stl_tree.h" 3
      template<typename _NodeGen>
 _Link_type
 _M_copy(_Const_Link_type __x, _Base_ptr __p, _NodeGen&);

      template<typename _NodeGen>
 _Link_type
 _M_copy(const _Rb_tree& __x, _NodeGen& __gen)
 {
   _Link_type __root = _M_copy(__x._M_begin(), _M_end(), __gen);
   _M_leftmost() = _S_minimum(__root);
   _M_rightmost() = _S_maximum(__root);
   _M_impl._M_node_count = __x._M_impl._M_node_count;
   return __root;
 }

      _Link_type
      _M_copy(const _Rb_tree& __x)
      {
 _Alloc_node __an(*this);
 return _M_copy(__x, __an);
      }

      void
      _M_erase(_Link_type __x);

      iterator
      _M_lower_bound(_Link_type __x, _Base_ptr __y,
       const _Key& __k);

      const_iterator
      _M_lower_bound(_Const_Link_type __x, _Const_Base_ptr __y,
       const _Key& __k) const;

      iterator
      _M_upper_bound(_Link_type __x, _Base_ptr __y,
       const _Key& __k);

      const_iterator
      _M_upper_bound(_Const_Link_type __x, _Const_Base_ptr __y,
       const _Key& __k) const;

    public:




      _Rb_tree() = default;


      _Rb_tree(const _Compare& __comp,
        const allocator_type& __a = allocator_type())
      : _M_impl(__comp, _Node_allocator(__a)) { }

      _Rb_tree(const _Rb_tree& __x)
      : _M_impl(__x._M_impl)
      {
 if (__x._M_root() != 0)
   _M_root() = _M_copy(__x);
      }


      _Rb_tree(const allocator_type& __a)
      : _M_impl(_Compare(), _Node_allocator(__a))
      { }

      _Rb_tree(const _Rb_tree& __x, const allocator_type& __a)
      : _M_impl(__x._M_impl._M_key_compare, _Node_allocator(__a))
      {
 if (__x._M_root() != nullptr)
   _M_root() = _M_copy(__x);
      }

      _Rb_tree(_Rb_tree&&) = default;

      _Rb_tree(_Rb_tree&& __x, const allocator_type& __a)
      : _Rb_tree(std::move(__x), _Node_allocator(__a))
      { }

      _Rb_tree(_Rb_tree&& __x, _Node_allocator&& __a);


      ~_Rb_tree() noexcept
      { _M_erase(_M_begin()); }

      _Rb_tree&
      operator=(const _Rb_tree& __x);


      _Compare
      key_comp() const
      { return _M_impl._M_key_compare; }

      iterator
      begin() noexcept
      { return iterator(this->_M_impl._M_header._M_left); }

      const_iterator
      begin() const noexcept
      { return const_iterator(this->_M_impl._M_header._M_left); }

      iterator
      end() noexcept
      { return iterator(&this->_M_impl._M_header); }

      const_iterator
      end() const noexcept
      { return const_iterator(&this->_M_impl._M_header); }

      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }

      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }

      reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }

      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }

      bool
      empty() const noexcept
      { return _M_impl._M_node_count == 0; }

      size_type
      size() const noexcept
      { return _M_impl._M_node_count; }

      size_type
      max_size() const noexcept
      { return _Alloc_traits::max_size(_M_get_Node_allocator()); }

      void
      swap(_Rb_tree& __t)
      noexcept(__is_nothrow_swappable<_Compare>::value);



      template<typename _Arg>
        pair<iterator, bool>
        _M_insert_unique(_Arg&& __x);

      template<typename _Arg>
        iterator
        _M_insert_equal(_Arg&& __x);

      template<typename _Arg, typename _NodeGen>
        iterator
 _M_insert_unique_(const_iterator __pos, _Arg&& __x, _NodeGen&);

      template<typename _Arg>
 iterator
 _M_insert_unique_(const_iterator __pos, _Arg&& __x)
 {
   _Alloc_node __an(*this);
   return _M_insert_unique_(__pos, std::forward<_Arg>(__x), __an);
 }

      template<typename _Arg, typename _NodeGen>
 iterator
 _M_insert_equal_(const_iterator __pos, _Arg&& __x, _NodeGen&);

      template<typename _Arg>
 iterator
 _M_insert_equal_(const_iterator __pos, _Arg&& __x)
 {
   _Alloc_node __an(*this);
   return _M_insert_equal_(__pos, std::forward<_Arg>(__x), __an);
 }

      template<typename... _Args>
 pair<iterator, bool>
 _M_emplace_unique(_Args&&... __args);

      template<typename... _Args>
 iterator
 _M_emplace_equal(_Args&&... __args);

      template<typename... _Args>
 iterator
 _M_emplace_hint_unique(const_iterator __pos, _Args&&... __args);

      template<typename... _Args>
 iterator
 _M_emplace_hint_equal(const_iterator __pos, _Args&&... __args);
# 1087 "/usr/include/c++/7/bits/stl_tree.h" 3
      template<typename _InputIterator>
        void
        _M_insert_unique(_InputIterator __first, _InputIterator __last);

      template<typename _InputIterator>
        void
        _M_insert_equal(_InputIterator __first, _InputIterator __last);

    private:
      void
      _M_erase_aux(const_iterator __position);

      void
      _M_erase_aux(const_iterator __first, const_iterator __last);

    public:



      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(const_iterator __position)
      {
 ;
 const_iterator __result = __position;
 ++__result;
 _M_erase_aux(__position);
 return __result._M_const_cast();
      }


      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(iterator __position)
      {
 ;
 iterator __result = __position;
 ++__result;
 _M_erase_aux(__position);
 return __result;
      }
# 1143 "/usr/include/c++/7/bits/stl_tree.h" 3
      size_type
      erase(const key_type& __x);




      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(const_iterator __first, const_iterator __last)
      {
 _M_erase_aux(__first, __last);
 return __last._M_const_cast();
      }
# 1165 "/usr/include/c++/7/bits/stl_tree.h" 3
      void
      erase(const key_type* __first, const key_type* __last);

      void
      clear() noexcept
      {
        _M_erase(_M_begin());
 _M_impl._M_reset();
      }


      iterator
      find(const key_type& __k);

      const_iterator
      find(const key_type& __k) const;

      size_type
      count(const key_type& __k) const;

      iterator
      lower_bound(const key_type& __k)
      { return _M_lower_bound(_M_begin(), _M_end(), __k); }

      const_iterator
      lower_bound(const key_type& __k) const
      { return _M_lower_bound(_M_begin(), _M_end(), __k); }

      iterator
      upper_bound(const key_type& __k)
      { return _M_upper_bound(_M_begin(), _M_end(), __k); }

      const_iterator
      upper_bound(const key_type& __k) const
      { return _M_upper_bound(_M_begin(), _M_end(), __k); }

      pair<iterator, iterator>
      equal_range(const key_type& __k);

      pair<const_iterator, const_iterator>
      equal_range(const key_type& __k) const;


      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 iterator
 _M_find_tr(const _Kt& __k)
 {
   const _Rb_tree* __const_this = this;
   return __const_this->_M_find_tr(__k)._M_const_cast();
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 const_iterator
 _M_find_tr(const _Kt& __k) const
 {
   auto __j = _M_lower_bound_tr(__k);
   if (__j != end() && _M_impl._M_key_compare(__k, _S_key(__j._M_node)))
     __j = end();
   return __j;
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 size_type
 _M_count_tr(const _Kt& __k) const
 {
   auto __p = _M_equal_range_tr(__k);
   return std::distance(__p.first, __p.second);
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 iterator
 _M_lower_bound_tr(const _Kt& __k)
 {
   const _Rb_tree* __const_this = this;
   return __const_this->_M_lower_bound_tr(__k)._M_const_cast();
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 const_iterator
 _M_lower_bound_tr(const _Kt& __k) const
 {
   auto __x = _M_begin();
   auto __y = _M_end();
   while (__x != 0)
     if (!_M_impl._M_key_compare(_S_key(__x), __k))
       {
  __y = __x;
  __x = _S_left(__x);
       }
     else
       __x = _S_right(__x);
   return const_iterator(__y);
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 iterator
 _M_upper_bound_tr(const _Kt& __k)
 {
   const _Rb_tree* __const_this = this;
   return __const_this->_M_upper_bound_tr(__k)._M_const_cast();
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 const_iterator
 _M_upper_bound_tr(const _Kt& __k) const
 {
   auto __x = _M_begin();
   auto __y = _M_end();
   while (__x != 0)
     if (_M_impl._M_key_compare(__k, _S_key(__x)))
       {
  __y = __x;
  __x = _S_left(__x);
       }
     else
       __x = _S_right(__x);
   return const_iterator(__y);
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 pair<iterator, iterator>
 _M_equal_range_tr(const _Kt& __k)
 {
   const _Rb_tree* __const_this = this;
   auto __ret = __const_this->_M_equal_range_tr(__k);
   return { __ret.first._M_const_cast(), __ret.second._M_const_cast() };
 }

      template<typename _Kt,
        typename _Req =
   typename __has_is_transparent<_Compare, _Kt>::type>
 pair<const_iterator, const_iterator>
 _M_equal_range_tr(const _Kt& __k) const
 {
   auto __low = _M_lower_bound_tr(__k);
   auto __high = __low;
   auto& __cmp = _M_impl._M_key_compare;
   while (__high != end() && !__cmp(__k, _S_key(__high._M_node)))
     ++__high;
   return { __low, __high };
 }



      bool
      __rb_verify() const;


      _Rb_tree&
      operator=(_Rb_tree&&)
      noexcept(_Alloc_traits::_S_nothrow_move()
        && is_nothrow_move_assignable<_Compare>::value);

      template<typename _Iterator>
 void
 _M_assign_unique(_Iterator, _Iterator);

      template<typename _Iterator>
 void
 _M_assign_equal(_Iterator, _Iterator);

    private:

      void
      _M_move_data(_Rb_tree& __x, std::true_type)
      { _M_impl._M_move_data(__x._M_impl); }



      void
      _M_move_data(_Rb_tree&, std::false_type);


      void
      _M_move_assign(_Rb_tree&, std::true_type);



      void
      _M_move_assign(_Rb_tree&, std::false_type);
# 1528 "/usr/include/c++/7/bits/stl_tree.h" 3
    };

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline bool
    operator==(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
        const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    {
      return __x.size() == __y.size()
      && std::equal(__x.begin(), __x.end(), __y.begin());
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline bool
    operator<(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    {
      return std::lexicographical_compare(__x.begin(), __x.end(),
       __y.begin(), __y.end());
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline bool
    operator!=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
        const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    { return !(__x == __y); }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline bool
    operator>(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
       const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    { return __y < __x; }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline bool
    operator<=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
        const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    { return !(__y < __x); }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline bool
    operator>=(const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
        const _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    { return !(__x < __y); }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline void
    swap(_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __x,
  _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>& __y)
    { __x.swap(__y); }


  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _Rb_tree(_Rb_tree&& __x, _Node_allocator&& __a)
    : _M_impl(__x._M_impl._M_key_compare, std::move(__a))
    {
      using __eq = typename _Alloc_traits::is_always_equal;
      if (__x._M_root() != nullptr)
 _M_move_data(__x, __eq());
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_move_data(_Rb_tree& __x, std::false_type)
    {
      if (_M_get_Node_allocator() == __x._M_get_Node_allocator())
 _M_move_data(__x, std::true_type());
      else
 {
   _Alloc_node __an(*this);
   auto __lbd =
     [&__an](const value_type& __cval)
     {
       auto& __val = const_cast<value_type&>(__cval);
       return __an(std::move_if_noexcept(__val));
     };
   _M_root() = _M_copy(__x, __lbd);
 }
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_move_assign(_Rb_tree& __x, true_type)
    {
      clear();
      if (__x._M_root() != nullptr)
 _M_move_data(__x, std::true_type());
      std::__alloc_on_move(_M_get_Node_allocator(),
      __x._M_get_Node_allocator());
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_move_assign(_Rb_tree& __x, false_type)
    {
      if (_M_get_Node_allocator() == __x._M_get_Node_allocator())
 return _M_move_assign(__x, true_type{});



      _Reuse_or_alloc_node __roan(*this);
      _M_impl._M_reset();
      if (__x._M_root() != nullptr)
 {
   auto __lbd =
     [&__roan](const value_type& __cval)
     {
       auto& __val = const_cast<value_type&>(__cval);
       return __roan(std::move_if_noexcept(__val));
     };
   _M_root() = _M_copy(__x, __lbd);
   __x.clear();
 }
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    inline _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>&
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    operator=(_Rb_tree&& __x)
    noexcept(_Alloc_traits::_S_nothrow_move()
      && is_nothrow_move_assignable<_Compare>::value)
    {
      _M_impl._M_key_compare = std::move(__x._M_impl._M_key_compare);
      _M_move_assign(__x, __bool_constant<_Alloc_traits::_S_nothrow_move()>());
      return *this;
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    template<typename _Iterator>
      void
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_assign_unique(_Iterator __first, _Iterator __last)
      {
 _Reuse_or_alloc_node __roan(*this);
 _M_impl._M_reset();
 for (; __first != __last; ++__first)
   _M_insert_unique_(end(), *__first, __roan);
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    template<typename _Iterator>
      void
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_assign_equal(_Iterator __first, _Iterator __last)
      {
 _Reuse_or_alloc_node __roan(*this);
 _M_impl._M_reset();
 for (; __first != __last; ++__first)
   _M_insert_equal_(end(), *__first, __roan);
      }


  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>&
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    operator=(const _Rb_tree& __x)
    {
      if (this != &__x)
 {


   if (_Alloc_traits::_S_propagate_on_copy_assign())
     {
       auto& __this_alloc = this->_M_get_Node_allocator();
       auto& __that_alloc = __x._M_get_Node_allocator();
       if (!_Alloc_traits::_S_always_equal()
    && __this_alloc != __that_alloc)
  {


    clear();
    std::__alloc_on_copy(__this_alloc, __that_alloc);
  }
     }


   _Reuse_or_alloc_node __roan(*this);
   _M_impl._M_reset();
   _M_impl._M_key_compare = __x._M_impl._M_key_compare;
   if (__x._M_root() != 0)
     _M_root() = _M_copy(__x, __roan);
 }

      return *this;
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg, typename _NodeGen>



      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_insert_(_Base_ptr __x, _Base_ptr __p,

   _Arg&& __v,



   _NodeGen& __node_gen)
      {
 bool __insert_left = (__x != 0 || __p == _M_end()
         || _M_impl._M_key_compare(_KeyOfValue()(__v),
       _S_key(__p)));

 _Link_type __z = __node_gen(std::forward<_Arg>(__v));

 _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
          this->_M_impl._M_header);
 ++_M_impl._M_node_count;
 return iterator(__z);
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg>

    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::

    _M_insert_lower(_Base_ptr __p, _Arg&& __v)



    {
      bool __insert_left = (__p == _M_end()
       || !_M_impl._M_key_compare(_S_key(__p),
             _KeyOfValue()(__v)));

      _Link_type __z = _M_create_node(std::forward<_Arg>(__v));

      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
        this->_M_impl._M_header);
      ++_M_impl._M_node_count;
      return iterator(__z);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg>

    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::

    _M_insert_equal_lower(_Arg&& __v)



    {
      _Link_type __x = _M_begin();
      _Base_ptr __y = _M_end();
      while (__x != 0)
 {
   __y = __x;
   __x = !_M_impl._M_key_compare(_S_key(__x), _KeyOfValue()(__v)) ?
         _S_left(__x) : _S_right(__x);
 }
      return _M_insert_lower(__y, std::forward<_Arg>(__v));
    }

  template<typename _Key, typename _Val, typename _KoV,
    typename _Compare, typename _Alloc>
    template<typename _NodeGen>
      typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::_Link_type
      _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::
      _M_copy(_Const_Link_type __x, _Base_ptr __p, _NodeGen& __node_gen)
      {

 _Link_type __top = _M_clone_node(__x, __node_gen);
 __top->_M_parent = __p;

 try
   {
     if (__x->_M_right)
       __top->_M_right = _M_copy(_S_right(__x), __top, __node_gen);
     __p = __top;
     __x = _S_left(__x);

     while (__x != 0)
       {
  _Link_type __y = _M_clone_node(__x, __node_gen);
  __p->_M_left = __y;
  __y->_M_parent = __p;
  if (__x->_M_right)
    __y->_M_right = _M_copy(_S_right(__x), __y, __node_gen);
  __p = __y;
  __x = _S_left(__x);
       }
   }
 catch(...)
   {
     _M_erase(__top);
     throw;
   }
 return __top;
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_erase(_Link_type __x)
    {

      while (__x != 0)
 {
   _M_erase(_S_right(__x));
   _Link_type __y = _S_left(__x);
   _M_drop_node(__x);
   __x = __y;
 }
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_lower_bound(_Link_type __x, _Base_ptr __y,
     const _Key& __k)
    {
      while (__x != 0)
 if (!_M_impl._M_key_compare(_S_key(__x), __k))
   __y = __x, __x = _S_left(__x);
 else
   __x = _S_right(__x);
      return iterator(__y);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::const_iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_lower_bound(_Const_Link_type __x, _Const_Base_ptr __y,
     const _Key& __k) const
    {
      while (__x != 0)
 if (!_M_impl._M_key_compare(_S_key(__x), __k))
   __y = __x, __x = _S_left(__x);
 else
   __x = _S_right(__x);
      return const_iterator(__y);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_upper_bound(_Link_type __x, _Base_ptr __y,
     const _Key& __k)
    {
      while (__x != 0)
 if (_M_impl._M_key_compare(__k, _S_key(__x)))
   __y = __x, __x = _S_left(__x);
 else
   __x = _S_right(__x);
      return iterator(__y);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::const_iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_upper_bound(_Const_Link_type __x, _Const_Base_ptr __y,
     const _Key& __k) const
    {
      while (__x != 0)
 if (_M_impl._M_key_compare(__k, _S_key(__x)))
   __y = __x, __x = _S_left(__x);
 else
   __x = _S_right(__x);
      return const_iterator(__y);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::iterator,
  typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::iterator>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    equal_range(const _Key& __k)
    {
      _Link_type __x = _M_begin();
      _Base_ptr __y = _M_end();
      while (__x != 0)
 {
   if (_M_impl._M_key_compare(_S_key(__x), __k))
     __x = _S_right(__x);
   else if (_M_impl._M_key_compare(__k, _S_key(__x)))
     __y = __x, __x = _S_left(__x);
   else
     {
       _Link_type __xu(__x);
       _Base_ptr __yu(__y);
       __y = __x, __x = _S_left(__x);
       __xu = _S_right(__xu);
       return pair<iterator,
            iterator>(_M_lower_bound(__x, __y, __k),
        _M_upper_bound(__xu, __yu, __k));
     }
 }
      return pair<iterator, iterator>(iterator(__y),
          iterator(__y));
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::const_iterator,
  typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::const_iterator>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    equal_range(const _Key& __k) const
    {
      _Const_Link_type __x = _M_begin();
      _Const_Base_ptr __y = _M_end();
      while (__x != 0)
 {
   if (_M_impl._M_key_compare(_S_key(__x), __k))
     __x = _S_right(__x);
   else if (_M_impl._M_key_compare(__k, _S_key(__x)))
     __y = __x, __x = _S_left(__x);
   else
     {
       _Const_Link_type __xu(__x);
       _Const_Base_ptr __yu(__y);
       __y = __x, __x = _S_left(__x);
       __xu = _S_right(__xu);
       return pair<const_iterator,
            const_iterator>(_M_lower_bound(__x, __y, __k),
       _M_upper_bound(__xu, __yu, __k));
     }
 }
      return pair<const_iterator, const_iterator>(const_iterator(__y),
        const_iterator(__y));
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    swap(_Rb_tree& __t)
    noexcept(__is_nothrow_swappable<_Compare>::value)
    {
      if (_M_root() == 0)
 {
   if (__t._M_root() != 0)
     _M_impl._M_move_data(__t._M_impl);
 }
      else if (__t._M_root() == 0)
 __t._M_impl._M_move_data(_M_impl);
      else
 {
   std::swap(_M_root(),__t._M_root());
   std::swap(_M_leftmost(),__t._M_leftmost());
   std::swap(_M_rightmost(),__t._M_rightmost());

   _M_root()->_M_parent = _M_end();
   __t._M_root()->_M_parent = __t._M_end();
   std::swap(this->_M_impl._M_node_count, __t._M_impl._M_node_count);
 }

      std::swap(this->_M_impl._M_key_compare, __t._M_impl._M_key_compare);

      _Alloc_traits::_S_on_swap(_M_get_Node_allocator(),
    __t._M_get_Node_allocator());
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr,
  typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_get_insert_unique_pos(const key_type& __k)
    {
      typedef pair<_Base_ptr, _Base_ptr> _Res;
      _Link_type __x = _M_begin();
      _Base_ptr __y = _M_end();
      bool __comp = true;
      while (__x != 0)
 {
   __y = __x;
   __comp = _M_impl._M_key_compare(__k, _S_key(__x));
   __x = __comp ? _S_left(__x) : _S_right(__x);
 }
      iterator __j = iterator(__y);
      if (__comp)
 {
   if (__j == begin())
     return _Res(__x, __y);
   else
     --__j;
 }
      if (_M_impl._M_key_compare(_S_key(__j._M_node), __k))
 return _Res(__x, __y);
      return _Res(__j._M_node, 0);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr,
  typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_get_insert_equal_pos(const key_type& __k)
    {
      typedef pair<_Base_ptr, _Base_ptr> _Res;
      _Link_type __x = _M_begin();
      _Base_ptr __y = _M_end();
      while (__x != 0)
 {
   __y = __x;
   __x = _M_impl._M_key_compare(__k, _S_key(__x)) ?
         _S_left(__x) : _S_right(__x);
 }
      return _Res(__x, __y);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg>

    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::iterator, bool>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::

    _M_insert_unique(_Arg&& __v)



    {
      typedef pair<iterator, bool> _Res;
      pair<_Base_ptr, _Base_ptr> __res
 = _M_get_insert_unique_pos(_KeyOfValue()(__v));

      if (__res.second)
 {
   _Alloc_node __an(*this);
   return _Res(_M_insert_(__res.first, __res.second,
     std::forward<_Arg>(__v), __an),
        true);
 }

      return _Res(iterator(__res.first), false);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg>

    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::

    _M_insert_equal(_Arg&& __v)



    {
      pair<_Base_ptr, _Base_ptr> __res
 = _M_get_insert_equal_pos(_KeyOfValue()(__v));
      _Alloc_node __an(*this);
      return _M_insert_(__res.first, __res.second,
   std::forward<_Arg>(__v), __an);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr,
         typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_get_insert_hint_unique_pos(const_iterator __position,
      const key_type& __k)
    {
      iterator __pos = __position._M_const_cast();
      typedef pair<_Base_ptr, _Base_ptr> _Res;


      if (__pos._M_node == _M_end())
 {
   if (size() > 0
       && _M_impl._M_key_compare(_S_key(_M_rightmost()), __k))
     return _Res(0, _M_rightmost());
   else
     return _M_get_insert_unique_pos(__k);
 }
      else if (_M_impl._M_key_compare(__k, _S_key(__pos._M_node)))
 {

   iterator __before = __pos;
   if (__pos._M_node == _M_leftmost())
     return _Res(_M_leftmost(), _M_leftmost());
   else if (_M_impl._M_key_compare(_S_key((--__before)._M_node), __k))
     {
       if (_S_right(__before._M_node) == 0)
  return _Res(0, __before._M_node);
       else
  return _Res(__pos._M_node, __pos._M_node);
     }
   else
     return _M_get_insert_unique_pos(__k);
 }
      else if (_M_impl._M_key_compare(_S_key(__pos._M_node), __k))
 {

   iterator __after = __pos;
   if (__pos._M_node == _M_rightmost())
     return _Res(0, _M_rightmost());
   else if (_M_impl._M_key_compare(__k, _S_key((++__after)._M_node)))
     {
       if (_S_right(__pos._M_node) == 0)
  return _Res(0, __pos._M_node);
       else
  return _Res(__after._M_node, __after._M_node);
     }
   else
     return _M_get_insert_unique_pos(__k);
 }
      else

 return _Res(__pos._M_node, 0);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg, typename _NodeGen>



      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_insert_unique_(const_iterator __position,

   _Arg&& __v,



   _NodeGen& __node_gen)
    {
      pair<_Base_ptr, _Base_ptr> __res
 = _M_get_insert_hint_unique_pos(__position, _KeyOfValue()(__v));

      if (__res.second)
 return _M_insert_(__res.first, __res.second,
     std::forward<_Arg>(__v),
     __node_gen);
      return iterator(__res.first);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr,
         typename _Rb_tree<_Key, _Val, _KeyOfValue,
      _Compare, _Alloc>::_Base_ptr>
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_get_insert_hint_equal_pos(const_iterator __position, const key_type& __k)
    {
      iterator __pos = __position._M_const_cast();
      typedef pair<_Base_ptr, _Base_ptr> _Res;


      if (__pos._M_node == _M_end())
 {
   if (size() > 0
       && !_M_impl._M_key_compare(__k, _S_key(_M_rightmost())))
     return _Res(0, _M_rightmost());
   else
     return _M_get_insert_equal_pos(__k);
 }
      else if (!_M_impl._M_key_compare(_S_key(__pos._M_node), __k))
 {

   iterator __before = __pos;
   if (__pos._M_node == _M_leftmost())
     return _Res(_M_leftmost(), _M_leftmost());
   else if (!_M_impl._M_key_compare(__k, _S_key((--__before)._M_node)))
     {
       if (_S_right(__before._M_node) == 0)
  return _Res(0, __before._M_node);
       else
  return _Res(__pos._M_node, __pos._M_node);
     }
   else
     return _M_get_insert_equal_pos(__k);
 }
      else
 {

   iterator __after = __pos;
   if (__pos._M_node == _M_rightmost())
     return _Res(0, _M_rightmost());
   else if (!_M_impl._M_key_compare(_S_key((++__after)._M_node), __k))
     {
       if (_S_right(__pos._M_node) == 0)
  return _Res(0, __pos._M_node);
       else
  return _Res(__after._M_node, __after._M_node);
     }
   else
     return _Res(0, 0);
 }
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>

    template<typename _Arg, typename _NodeGen>



      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_insert_equal_(const_iterator __position,

         _Arg&& __v,



         _NodeGen& __node_gen)
      {
 pair<_Base_ptr, _Base_ptr> __res
   = _M_get_insert_hint_equal_pos(__position, _KeyOfValue()(__v));

 if (__res.second)
   return _M_insert_(__res.first, __res.second,
       std::forward<_Arg>(__v),
       __node_gen);

 return _M_insert_equal_lower(std::forward<_Arg>(__v));
      }


  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_insert_node(_Base_ptr __x, _Base_ptr __p, _Link_type __z)
    {
      bool __insert_left = (__x != 0 || __p == _M_end()
       || _M_impl._M_key_compare(_S_key(__z),
            _S_key(__p)));

      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
        this->_M_impl._M_header);
      ++_M_impl._M_node_count;
      return iterator(__z);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_insert_lower_node(_Base_ptr __p, _Link_type __z)
    {
      bool __insert_left = (__p == _M_end()
       || !_M_impl._M_key_compare(_S_key(__p),
             _S_key(__z)));

      _Rb_tree_insert_and_rebalance(__insert_left, __z, __p,
        this->_M_impl._M_header);
      ++_M_impl._M_node_count;
      return iterator(__z);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_insert_equal_lower_node(_Link_type __z)
    {
      _Link_type __x = _M_begin();
      _Base_ptr __y = _M_end();
      while (__x != 0)
 {
   __y = __x;
   __x = !_M_impl._M_key_compare(_S_key(__x), _S_key(__z)) ?
         _S_left(__x) : _S_right(__x);
 }
      return _M_insert_lower_node(__y, __z);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    template<typename... _Args>
      pair<typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::iterator, bool>
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_emplace_unique(_Args&&... __args)
      {
 _Link_type __z = _M_create_node(std::forward<_Args>(__args)...);

 try
   {
     typedef pair<iterator, bool> _Res;
     auto __res = _M_get_insert_unique_pos(_S_key(__z));
     if (__res.second)
       return _Res(_M_insert_node(__res.first, __res.second, __z), true);

     _M_drop_node(__z);
     return _Res(iterator(__res.first), false);
   }
 catch(...)
   {
     _M_drop_node(__z);
     throw;
   }
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    template<typename... _Args>
      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_emplace_equal(_Args&&... __args)
      {
 _Link_type __z = _M_create_node(std::forward<_Args>(__args)...);

 try
   {
     auto __res = _M_get_insert_equal_pos(_S_key(__z));
     return _M_insert_node(__res.first, __res.second, __z);
   }
 catch(...)
   {
     _M_drop_node(__z);
     throw;
   }
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    template<typename... _Args>
      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_emplace_hint_unique(const_iterator __pos, _Args&&... __args)
      {
 _Link_type __z = _M_create_node(std::forward<_Args>(__args)...);

 try
   {
     auto __res = _M_get_insert_hint_unique_pos(__pos, _S_key(__z));

     if (__res.second)
       return _M_insert_node(__res.first, __res.second, __z);

     _M_drop_node(__z);
     return iterator(__res.first);
   }
 catch(...)
   {
     _M_drop_node(__z);
     throw;
   }
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    template<typename... _Args>
      typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
      _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
      _M_emplace_hint_equal(const_iterator __pos, _Args&&... __args)
      {
 _Link_type __z = _M_create_node(std::forward<_Args>(__args)...);

 try
   {
     auto __res = _M_get_insert_hint_equal_pos(__pos, _S_key(__z));

     if (__res.second)
       return _M_insert_node(__res.first, __res.second, __z);

     return _M_insert_equal_lower_node(__z);
   }
 catch(...)
   {
     _M_drop_node(__z);
     throw;
   }
      }


  template<typename _Key, typename _Val, typename _KoV,
           typename _Cmp, typename _Alloc>
    template<class _II>
      void
      _Rb_tree<_Key, _Val, _KoV, _Cmp, _Alloc>::
      _M_insert_unique(_II __first, _II __last)
      {
 _Alloc_node __an(*this);
 for (; __first != __last; ++__first)
   _M_insert_unique_(end(), *__first, __an);
      }

  template<typename _Key, typename _Val, typename _KoV,
           typename _Cmp, typename _Alloc>
    template<class _II>
      void
      _Rb_tree<_Key, _Val, _KoV, _Cmp, _Alloc>::
      _M_insert_equal(_II __first, _II __last)
      {
 _Alloc_node __an(*this);
 for (; __first != __last; ++__first)
   _M_insert_equal_(end(), *__first, __an);
      }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_erase_aux(const_iterator __position)
    {
      _Link_type __y =
 static_cast<_Link_type>(_Rb_tree_rebalance_for_erase
    (const_cast<_Base_ptr>(__position._M_node),
     this->_M_impl._M_header));
      _M_drop_node(__y);
      --_M_impl._M_node_count;
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    _M_erase_aux(const_iterator __first, const_iterator __last)
    {
      if (__first == begin() && __last == end())
 clear();
      else
 while (__first != __last)
   _M_erase_aux(__first++);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::size_type
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    erase(const _Key& __x)
    {
      pair<iterator, iterator> __p = equal_range(__x);
      const size_type __old_size = size();
      _M_erase_aux(__p.first, __p.second);
      return __old_size - size();
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    void
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    erase(const _Key* __first, const _Key* __last)
    {
      while (__first != __last)
 erase(*__first++);
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    find(const _Key& __k)
    {
      iterator __j = _M_lower_bound(_M_begin(), _M_end(), __k);
      return (__j == end()
       || _M_impl._M_key_compare(__k,
     _S_key(__j._M_node))) ? end() : __j;
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue,
        _Compare, _Alloc>::const_iterator
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    find(const _Key& __k) const
    {
      const_iterator __j = _M_lower_bound(_M_begin(), _M_end(), __k);
      return (__j == end()
       || _M_impl._M_key_compare(__k,
     _S_key(__j._M_node))) ? end() : __j;
    }

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::size_type
    _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
    count(const _Key& __k) const
    {
      pair<const_iterator, const_iterator> __p = equal_range(__k);
      const size_type __n = std::distance(__p.first, __p.second);
      return __n;
    }

  __attribute__ ((__pure__)) unsigned int
  _Rb_tree_black_count(const _Rb_tree_node_base* __node,
                       const _Rb_tree_node_base* __root) throw ();

  template<typename _Key, typename _Val, typename _KeyOfValue,
           typename _Compare, typename _Alloc>
    bool
    _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::__rb_verify() const
    {
      if (_M_impl._M_node_count == 0 || begin() == end())
 return _M_impl._M_node_count == 0 && begin() == end()
        && this->_M_impl._M_header._M_left == _M_end()
        && this->_M_impl._M_header._M_right == _M_end();

      unsigned int __len = _Rb_tree_black_count(_M_leftmost(), _M_root());
      for (const_iterator __it = begin(); __it != end(); ++__it)
 {
   _Const_Link_type __x = static_cast<_Const_Link_type>(__it._M_node);
   _Const_Link_type __L = _S_left(__x);
   _Const_Link_type __R = _S_right(__x);

   if (__x->_M_color == _S_red)
     if ((__L && __L->_M_color == _S_red)
  || (__R && __R->_M_color == _S_red))
       return false;

   if (__L && _M_impl._M_key_compare(_S_key(__x), _S_key(__L)))
     return false;
   if (__R && _M_impl._M_key_compare(_S_key(__R), _S_key(__x)))
     return false;

   if (!__L && !__R && _Rb_tree_black_count(__x, _M_root()) != __len)
     return false;
 }

      if (_M_leftmost() != _Rb_tree_node_base::_S_minimum(_M_root()))
 return false;
      if (_M_rightmost() != _Rb_tree_node_base::_S_maximum(_M_root()))
 return false;
      return true;
    }
# 2611 "/usr/include/c++/7/bits/stl_tree.h" 3

}
# 61 "/usr/include/c++/7/set" 2 3
# 1 "/usr/include/c++/7/bits/stl_set.h" 1 3
# 57 "/usr/include/c++/7/bits/stl_set.h" 3
#define _STL_SET_H 1






namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Key, typename _Compare, typename _Alloc>
    class multiset;
# 91 "/usr/include/c++/7/bits/stl_set.h" 3
  template<typename _Key, typename _Compare = std::less<_Key>,
    typename _Alloc = std::allocator<_Key> >
    class set
    {
# 106 "/usr/include/c++/7/bits/stl_set.h" 3
    public:



      typedef _Key key_type;
      typedef _Key value_type;
      typedef _Compare key_compare;
      typedef _Compare value_compare;
      typedef _Alloc allocator_type;


    private:
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_Key>::other _Key_alloc_type;

      typedef _Rb_tree<key_type, value_type, _Identity<value_type>,
         key_compare, _Key_alloc_type> _Rep_type;
      _Rep_type _M_t;

      typedef __gnu_cxx::__alloc_traits<_Key_alloc_type> _Alloc_traits;

    public:


      typedef typename _Alloc_traits::pointer pointer;
      typedef typename _Alloc_traits::const_pointer const_pointer;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;



      typedef typename _Rep_type::const_iterator iterator;
      typedef typename _Rep_type::const_iterator const_iterator;
      typedef typename _Rep_type::const_reverse_iterator reverse_iterator;
      typedef typename _Rep_type::const_reverse_iterator const_reverse_iterator;
      typedef typename _Rep_type::size_type size_type;
      typedef typename _Rep_type::difference_type difference_type;
# 157 "/usr/include/c++/7/bits/stl_set.h" 3
      set() = default;







      explicit
      set(const _Compare& __comp,
   const allocator_type& __a = allocator_type())
      : _M_t(__comp, _Key_alloc_type(__a)) { }
# 180 "/usr/include/c++/7/bits/stl_set.h" 3
      template<typename _InputIterator>
 set(_InputIterator __first, _InputIterator __last)
 : _M_t()
 { _M_t._M_insert_unique(__first, __last); }
# 197 "/usr/include/c++/7/bits/stl_set.h" 3
      template<typename _InputIterator>
 set(_InputIterator __first, _InputIterator __last,
     const _Compare& __comp,
     const allocator_type& __a = allocator_type())
 : _M_t(__comp, _Key_alloc_type(__a))
 { _M_t._M_insert_unique(__first, __last); }
# 213 "/usr/include/c++/7/bits/stl_set.h" 3
      set(const set&) = default;







      set(set&&) = default;
# 233 "/usr/include/c++/7/bits/stl_set.h" 3
      set(initializer_list<value_type> __l,
   const _Compare& __comp = _Compare(),
   const allocator_type& __a = allocator_type())
      : _M_t(__comp, _Key_alloc_type(__a))
      { _M_t._M_insert_unique(__l.begin(), __l.end()); }


      explicit
      set(const allocator_type& __a)
      : _M_t(_Compare(), _Key_alloc_type(__a)) { }


      set(const set& __x, const allocator_type& __a)
      : _M_t(__x._M_t, _Key_alloc_type(__a)) { }


      set(set&& __x, const allocator_type& __a)
      noexcept(is_nothrow_copy_constructible<_Compare>::value
        && _Alloc_traits::_S_always_equal())
      : _M_t(std::move(__x._M_t), _Key_alloc_type(__a)) { }


      set(initializer_list<value_type> __l, const allocator_type& __a)
      : _M_t(_Compare(), _Key_alloc_type(__a))
      { _M_t._M_insert_unique(__l.begin(), __l.end()); }


      template<typename _InputIterator>
 set(_InputIterator __first, _InputIterator __last,
     const allocator_type& __a)
 : _M_t(_Compare(), _Key_alloc_type(__a))
 { _M_t._M_insert_unique(__first, __last); }






      ~set() = default;
# 287 "/usr/include/c++/7/bits/stl_set.h" 3
      set&
      operator=(const set&) = default;


      set&
      operator=(set&&) = default;
# 305 "/usr/include/c++/7/bits/stl_set.h" 3
      set&
      operator=(initializer_list<value_type> __l)
      {
 _M_t._M_assign_unique(__l.begin(), __l.end());
 return *this;
      }





      key_compare
      key_comp() const
      { return _M_t.key_comp(); }

      value_compare
      value_comp() const
      { return _M_t.key_comp(); }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_t.get_allocator()); }






      iterator
      begin() const noexcept
      { return _M_t.begin(); }






      iterator
      end() const noexcept
      { return _M_t.end(); }






      reverse_iterator
      rbegin() const noexcept
      { return _M_t.rbegin(); }






      reverse_iterator
      rend() const noexcept
      { return _M_t.rend(); }







      iterator
      cbegin() const noexcept
      { return _M_t.begin(); }






      iterator
      cend() const noexcept
      { return _M_t.end(); }






      reverse_iterator
      crbegin() const noexcept
      { return _M_t.rbegin(); }






      reverse_iterator
      crend() const noexcept
      { return _M_t.rend(); }



      bool
      empty() const noexcept
      { return _M_t.empty(); }


      size_type
      size() const noexcept
      { return _M_t.size(); }


      size_type
      max_size() const noexcept
      { return _M_t.max_size(); }
# 430 "/usr/include/c++/7/bits/stl_set.h" 3
      void
      swap(set& __x)
      noexcept(__is_nothrow_swappable<_Compare>::value)
      { _M_t.swap(__x._M_t); }
# 450 "/usr/include/c++/7/bits/stl_set.h" 3
      template<typename... _Args>
 std::pair<iterator, bool>
 emplace(_Args&&... __args)
 { return _M_t._M_emplace_unique(std::forward<_Args>(__args)...); }
# 476 "/usr/include/c++/7/bits/stl_set.h" 3
      template<typename... _Args>
 iterator
 emplace_hint(const_iterator __pos, _Args&&... __args)
 {
   return _M_t._M_emplace_hint_unique(__pos,
          std::forward<_Args>(__args)...);
 }
# 498 "/usr/include/c++/7/bits/stl_set.h" 3
      std::pair<iterator, bool>
      insert(const value_type& __x)
      {
 std::pair<typename _Rep_type::iterator, bool> __p =
   _M_t._M_insert_unique(__x);
 return std::pair<iterator, bool>(__p.first, __p.second);
      }


      std::pair<iterator, bool>
      insert(value_type&& __x)
      {
 std::pair<typename _Rep_type::iterator, bool> __p =
   _M_t._M_insert_unique(std::move(__x));
 return std::pair<iterator, bool>(__p.first, __p.second);
      }
# 535 "/usr/include/c++/7/bits/stl_set.h" 3
      iterator
      insert(const_iterator __position, const value_type& __x)
      { return _M_t._M_insert_unique_(__position, __x); }


      iterator
      insert(const_iterator __position, value_type&& __x)
      { return _M_t._M_insert_unique_(__position, std::move(__x)); }
# 554 "/usr/include/c++/7/bits/stl_set.h" 3
      template<typename _InputIterator>
 void
 insert(_InputIterator __first, _InputIterator __last)
 { _M_t._M_insert_unique(__first, __last); }
# 567 "/usr/include/c++/7/bits/stl_set.h" 3
      void
      insert(initializer_list<value_type> __l)
      { this->insert(__l.begin(), __l.end()); }
# 642 "/usr/include/c++/7/bits/stl_set.h" 3
      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(const_iterator __position)
      { return _M_t.erase(__position); }
# 673 "/usr/include/c++/7/bits/stl_set.h" 3
      size_type
      erase(const key_type& __x)
      { return _M_t.erase(__x); }
# 694 "/usr/include/c++/7/bits/stl_set.h" 3
      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(const_iterator __first, const_iterator __last)
      { return _M_t.erase(__first, __last); }
# 722 "/usr/include/c++/7/bits/stl_set.h" 3
      void
      clear() noexcept
      { _M_t.clear(); }
# 737 "/usr/include/c++/7/bits/stl_set.h" 3
      size_type
      count(const key_type& __x) const
      { return _M_t.find(__x) == _M_t.end() ? 0 : 1; }


      template<typename _Kt>
 auto
 count(const _Kt& __x) const
 -> decltype(_M_t._M_count_tr(__x))
 { return _M_t._M_count_tr(__x); }
# 764 "/usr/include/c++/7/bits/stl_set.h" 3
      iterator
      find(const key_type& __x)
      { return _M_t.find(__x); }

      const_iterator
      find(const key_type& __x) const
      { return _M_t.find(__x); }


      template<typename _Kt>
 auto
 find(const _Kt& __x)
 -> decltype(iterator{_M_t._M_find_tr(__x)})
 { return iterator{_M_t._M_find_tr(__x)}; }

      template<typename _Kt>
 auto
 find(const _Kt& __x) const
 -> decltype(const_iterator{_M_t._M_find_tr(__x)})
 { return const_iterator{_M_t._M_find_tr(__x)}; }
# 799 "/usr/include/c++/7/bits/stl_set.h" 3
      iterator
      lower_bound(const key_type& __x)
      { return _M_t.lower_bound(__x); }

      const_iterator
      lower_bound(const key_type& __x) const
      { return _M_t.lower_bound(__x); }


      template<typename _Kt>
 auto
 lower_bound(const _Kt& __x)
 -> decltype(iterator(_M_t._M_lower_bound_tr(__x)))
 { return iterator(_M_t._M_lower_bound_tr(__x)); }

      template<typename _Kt>
 auto
 lower_bound(const _Kt& __x) const
 -> decltype(const_iterator(_M_t._M_lower_bound_tr(__x)))
 { return const_iterator(_M_t._M_lower_bound_tr(__x)); }
# 829 "/usr/include/c++/7/bits/stl_set.h" 3
      iterator
      upper_bound(const key_type& __x)
      { return _M_t.upper_bound(__x); }

      const_iterator
      upper_bound(const key_type& __x) const
      { return _M_t.upper_bound(__x); }


      template<typename _Kt>
 auto
 upper_bound(const _Kt& __x)
 -> decltype(iterator(_M_t._M_upper_bound_tr(__x)))
 { return iterator(_M_t._M_upper_bound_tr(__x)); }

      template<typename _Kt>
 auto
 upper_bound(const _Kt& __x) const
 -> decltype(iterator(_M_t._M_upper_bound_tr(__x)))
 { return const_iterator(_M_t._M_upper_bound_tr(__x)); }
# 868 "/usr/include/c++/7/bits/stl_set.h" 3
      std::pair<iterator, iterator>
      equal_range(const key_type& __x)
      { return _M_t.equal_range(__x); }

      std::pair<const_iterator, const_iterator>
      equal_range(const key_type& __x) const
      { return _M_t.equal_range(__x); }


      template<typename _Kt>
 auto
 equal_range(const _Kt& __x)
 -> decltype(pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)))
 { return pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)); }

      template<typename _Kt>
 auto
 equal_range(const _Kt& __x) const
 -> decltype(pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)))
 { return pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)); }



      template<typename _K1, typename _C1, typename _A1>
 friend bool
 operator==(const set<_K1, _C1, _A1>&, const set<_K1, _C1, _A1>&);

      template<typename _K1, typename _C1, typename _A1>
 friend bool
 operator<(const set<_K1, _C1, _A1>&, const set<_K1, _C1, _A1>&);
    };
# 911 "/usr/include/c++/7/bits/stl_set.h" 3
  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator==(const set<_Key, _Compare, _Alloc>& __x,
        const set<_Key, _Compare, _Alloc>& __y)
    { return __x._M_t == __y._M_t; }
# 928 "/usr/include/c++/7/bits/stl_set.h" 3
  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator<(const set<_Key, _Compare, _Alloc>& __x,
       const set<_Key, _Compare, _Alloc>& __y)
    { return __x._M_t < __y._M_t; }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator!=(const set<_Key, _Compare, _Alloc>& __x,
        const set<_Key, _Compare, _Alloc>& __y)
    { return !(__x == __y); }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator>(const set<_Key, _Compare, _Alloc>& __x,
       const set<_Key, _Compare, _Alloc>& __y)
    { return __y < __x; }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator<=(const set<_Key, _Compare, _Alloc>& __x,
        const set<_Key, _Compare, _Alloc>& __y)
    { return !(__y < __x); }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator>=(const set<_Key, _Compare, _Alloc>& __x,
        const set<_Key, _Compare, _Alloc>& __y)
    { return !(__x < __y); }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline void
    swap(set<_Key, _Compare, _Alloc>& __x, set<_Key, _Compare, _Alloc>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }


# 992 "/usr/include/c++/7/bits/stl_set.h" 3
}
# 62 "/usr/include/c++/7/set" 2 3
# 1 "/usr/include/c++/7/bits/stl_multiset.h" 1 3
# 57 "/usr/include/c++/7/bits/stl_multiset.h" 3
#define _STL_MULTISET_H 1






namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Key, typename _Compare, typename _Alloc>
    class set;
# 93 "/usr/include/c++/7/bits/stl_multiset.h" 3
  template <typename _Key, typename _Compare = std::less<_Key>,
     typename _Alloc = std::allocator<_Key> >
    class multiset
    {
# 108 "/usr/include/c++/7/bits/stl_multiset.h" 3
    public:

      typedef _Key key_type;
      typedef _Key value_type;
      typedef _Compare key_compare;
      typedef _Compare value_compare;
      typedef _Alloc allocator_type;

    private:

      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_Key>::other _Key_alloc_type;

      typedef _Rb_tree<key_type, value_type, _Identity<value_type>,
         key_compare, _Key_alloc_type> _Rep_type;

      _Rep_type _M_t;

      typedef __gnu_cxx::__alloc_traits<_Key_alloc_type> _Alloc_traits;

    public:
      typedef typename _Alloc_traits::pointer pointer;
      typedef typename _Alloc_traits::const_pointer const_pointer;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;



      typedef typename _Rep_type::const_iterator iterator;
      typedef typename _Rep_type::const_iterator const_iterator;
      typedef typename _Rep_type::const_reverse_iterator reverse_iterator;
      typedef typename _Rep_type::const_reverse_iterator const_reverse_iterator;
      typedef typename _Rep_type::size_type size_type;
      typedef typename _Rep_type::difference_type difference_type;
# 154 "/usr/include/c++/7/bits/stl_multiset.h" 3
      multiset() = default;







      explicit
      multiset(const _Compare& __comp,
        const allocator_type& __a = allocator_type())
      : _M_t(__comp, _Key_alloc_type(__a)) { }
# 176 "/usr/include/c++/7/bits/stl_multiset.h" 3
      template<typename _InputIterator>
 multiset(_InputIterator __first, _InputIterator __last)
 : _M_t()
 { _M_t._M_insert_equal(__first, __last); }
# 192 "/usr/include/c++/7/bits/stl_multiset.h" 3
      template<typename _InputIterator>
 multiset(_InputIterator __first, _InputIterator __last,
   const _Compare& __comp,
   const allocator_type& __a = allocator_type())
 : _M_t(__comp, _Key_alloc_type(__a))
 { _M_t._M_insert_equal(__first, __last); }
# 208 "/usr/include/c++/7/bits/stl_multiset.h" 3
      multiset(const multiset&) = default;
# 217 "/usr/include/c++/7/bits/stl_multiset.h" 3
      multiset(multiset&&) = default;
# 229 "/usr/include/c++/7/bits/stl_multiset.h" 3
      multiset(initializer_list<value_type> __l,
        const _Compare& __comp = _Compare(),
        const allocator_type& __a = allocator_type())
      : _M_t(__comp, _Key_alloc_type(__a))
      { _M_t._M_insert_equal(__l.begin(), __l.end()); }


      explicit
      multiset(const allocator_type& __a)
      : _M_t(_Compare(), _Key_alloc_type(__a)) { }


      multiset(const multiset& __m, const allocator_type& __a)
      : _M_t(__m._M_t, _Key_alloc_type(__a)) { }


      multiset(multiset&& __m, const allocator_type& __a)
      noexcept(is_nothrow_copy_constructible<_Compare>::value
        && _Alloc_traits::_S_always_equal())
      : _M_t(std::move(__m._M_t), _Key_alloc_type(__a)) { }


      multiset(initializer_list<value_type> __l, const allocator_type& __a)
      : _M_t(_Compare(), _Key_alloc_type(__a))
      { _M_t._M_insert_equal(__l.begin(), __l.end()); }


      template<typename _InputIterator>
 multiset(_InputIterator __first, _InputIterator __last,
   const allocator_type& __a)
 : _M_t(_Compare(), _Key_alloc_type(__a))
 { _M_t._M_insert_equal(__first, __last); }






      ~multiset() = default;
# 283 "/usr/include/c++/7/bits/stl_multiset.h" 3
      multiset&
      operator=(const multiset&) = default;


      multiset&
      operator=(multiset&&) = default;
# 301 "/usr/include/c++/7/bits/stl_multiset.h" 3
      multiset&
      operator=(initializer_list<value_type> __l)
      {
 _M_t._M_assign_equal(__l.begin(), __l.end());
 return *this;
      }





      key_compare
      key_comp() const
      { return _M_t.key_comp(); }

      value_compare
      value_comp() const
      { return _M_t.key_comp(); }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_t.get_allocator()); }






      iterator
      begin() const noexcept
      { return _M_t.begin(); }






      iterator
      end() const noexcept
      { return _M_t.end(); }






      reverse_iterator
      rbegin() const noexcept
      { return _M_t.rbegin(); }






      reverse_iterator
      rend() const noexcept
      { return _M_t.rend(); }







      iterator
      cbegin() const noexcept
      { return _M_t.begin(); }






      iterator
      cend() const noexcept
      { return _M_t.end(); }






      reverse_iterator
      crbegin() const noexcept
      { return _M_t.rbegin(); }






      reverse_iterator
      crend() const noexcept
      { return _M_t.rend(); }



      bool
      empty() const noexcept
      { return _M_t.empty(); }


      size_type
      size() const noexcept
      { return _M_t.size(); }


      size_type
      max_size() const noexcept
      { return _M_t.max_size(); }
# 426 "/usr/include/c++/7/bits/stl_multiset.h" 3
      void
      swap(multiset& __x)
      noexcept(__is_nothrow_swappable<_Compare>::value)
      { _M_t.swap(__x._M_t); }
# 445 "/usr/include/c++/7/bits/stl_multiset.h" 3
      template<typename... _Args>
 iterator
 emplace(_Args&&... __args)
 { return _M_t._M_emplace_equal(std::forward<_Args>(__args)...); }
# 471 "/usr/include/c++/7/bits/stl_multiset.h" 3
      template<typename... _Args>
 iterator
 emplace_hint(const_iterator __pos, _Args&&... __args)
 {
   return _M_t._M_emplace_hint_equal(__pos,
         std::forward<_Args>(__args)...);
 }
# 491 "/usr/include/c++/7/bits/stl_multiset.h" 3
      iterator
      insert(const value_type& __x)
      { return _M_t._M_insert_equal(__x); }


      iterator
      insert(value_type&& __x)
      { return _M_t._M_insert_equal(std::move(__x)); }
# 521 "/usr/include/c++/7/bits/stl_multiset.h" 3
      iterator
      insert(const_iterator __position, const value_type& __x)
      { return _M_t._M_insert_equal_(__position, __x); }


      iterator
      insert(const_iterator __position, value_type&& __x)
      { return _M_t._M_insert_equal_(__position, std::move(__x)); }
# 539 "/usr/include/c++/7/bits/stl_multiset.h" 3
      template<typename _InputIterator>
 void
 insert(_InputIterator __first, _InputIterator __last)
 { _M_t._M_insert_equal(__first, __last); }
# 552 "/usr/include/c++/7/bits/stl_multiset.h" 3
      void
      insert(initializer_list<value_type> __l)
      { this->insert(__l.begin(), __l.end()); }
# 627 "/usr/include/c++/7/bits/stl_multiset.h" 3
      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(const_iterator __position)
      { return _M_t.erase(__position); }
# 658 "/usr/include/c++/7/bits/stl_multiset.h" 3
      size_type
      erase(const key_type& __x)
      { return _M_t.erase(__x); }
# 679 "/usr/include/c++/7/bits/stl_multiset.h" 3
      __attribute ((__abi_tag__ ("cxx11")))
      iterator
      erase(const_iterator __first, const_iterator __last)
      { return _M_t.erase(__first, __last); }
# 707 "/usr/include/c++/7/bits/stl_multiset.h" 3
      void
      clear() noexcept
      { _M_t.clear(); }
# 719 "/usr/include/c++/7/bits/stl_multiset.h" 3
      size_type
      count(const key_type& __x) const
      { return _M_t.count(__x); }


      template<typename _Kt>
 auto
 count(const _Kt& __x) const -> decltype(_M_t._M_count_tr(__x))
 { return _M_t._M_count_tr(__x); }
# 745 "/usr/include/c++/7/bits/stl_multiset.h" 3
      iterator
      find(const key_type& __x)
      { return _M_t.find(__x); }

      const_iterator
      find(const key_type& __x) const
      { return _M_t.find(__x); }


      template<typename _Kt>
 auto
 find(const _Kt& __x)
 -> decltype(iterator{_M_t._M_find_tr(__x)})
 { return iterator{_M_t._M_find_tr(__x)}; }

      template<typename _Kt>
 auto
 find(const _Kt& __x) const
 -> decltype(const_iterator{_M_t._M_find_tr(__x)})
 { return const_iterator{_M_t._M_find_tr(__x)}; }
# 780 "/usr/include/c++/7/bits/stl_multiset.h" 3
      iterator
      lower_bound(const key_type& __x)
      { return _M_t.lower_bound(__x); }

      const_iterator
      lower_bound(const key_type& __x) const
      { return _M_t.lower_bound(__x); }


      template<typename _Kt>
 auto
 lower_bound(const _Kt& __x)
 -> decltype(iterator(_M_t._M_lower_bound_tr(__x)))
 { return iterator(_M_t._M_lower_bound_tr(__x)); }

      template<typename _Kt>
 auto
 lower_bound(const _Kt& __x) const
 -> decltype(iterator(_M_t._M_lower_bound_tr(__x)))
 { return iterator(_M_t._M_lower_bound_tr(__x)); }
# 810 "/usr/include/c++/7/bits/stl_multiset.h" 3
      iterator
      upper_bound(const key_type& __x)
      { return _M_t.upper_bound(__x); }

      const_iterator
      upper_bound(const key_type& __x) const
      { return _M_t.upper_bound(__x); }


      template<typename _Kt>
 auto
 upper_bound(const _Kt& __x)
 -> decltype(iterator(_M_t._M_upper_bound_tr(__x)))
 { return iterator(_M_t._M_upper_bound_tr(__x)); }

      template<typename _Kt>
 auto
 upper_bound(const _Kt& __x) const
 -> decltype(iterator(_M_t._M_upper_bound_tr(__x)))
 { return iterator(_M_t._M_upper_bound_tr(__x)); }
# 849 "/usr/include/c++/7/bits/stl_multiset.h" 3
      std::pair<iterator, iterator>
      equal_range(const key_type& __x)
      { return _M_t.equal_range(__x); }

      std::pair<const_iterator, const_iterator>
      equal_range(const key_type& __x) const
      { return _M_t.equal_range(__x); }


      template<typename _Kt>
 auto
 equal_range(const _Kt& __x)
 -> decltype(pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)))
 { return pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)); }

      template<typename _Kt>
 auto
 equal_range(const _Kt& __x) const
 -> decltype(pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)))
 { return pair<iterator, iterator>(_M_t._M_equal_range_tr(__x)); }



      template<typename _K1, typename _C1, typename _A1>
 friend bool
 operator==(const multiset<_K1, _C1, _A1>&,
     const multiset<_K1, _C1, _A1>&);

      template<typename _K1, typename _C1, typename _A1>
 friend bool
 operator< (const multiset<_K1, _C1, _A1>&,
     const multiset<_K1, _C1, _A1>&);
    };
# 894 "/usr/include/c++/7/bits/stl_multiset.h" 3
  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator==(const multiset<_Key, _Compare, _Alloc>& __x,
        const multiset<_Key, _Compare, _Alloc>& __y)
    { return __x._M_t == __y._M_t; }
# 911 "/usr/include/c++/7/bits/stl_multiset.h" 3
  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator<(const multiset<_Key, _Compare, _Alloc>& __x,
       const multiset<_Key, _Compare, _Alloc>& __y)
    { return __x._M_t < __y._M_t; }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator!=(const multiset<_Key, _Compare, _Alloc>& __x,
        const multiset<_Key, _Compare, _Alloc>& __y)
    { return !(__x == __y); }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator>(const multiset<_Key,_Compare,_Alloc>& __x,
       const multiset<_Key,_Compare,_Alloc>& __y)
    { return __y < __x; }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator<=(const multiset<_Key, _Compare, _Alloc>& __x,
        const multiset<_Key, _Compare, _Alloc>& __y)
    { return !(__y < __x); }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline bool
    operator>=(const multiset<_Key, _Compare, _Alloc>& __x,
        const multiset<_Key, _Compare, _Alloc>& __y)
    { return !(__x < __y); }


  template<typename _Key, typename _Compare, typename _Alloc>
    inline void
    swap(multiset<_Key, _Compare, _Alloc>& __x,
  multiset<_Key, _Compare, _Alloc>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }


# 977 "/usr/include/c++/7/bits/stl_multiset.h" 3
}
# 63 "/usr/include/c++/7/set" 2 3
# 13 "../bppindex.h" 2
# 1 "/usr/include/c++/7/cstring" 1 3
# 39 "/usr/include/c++/7/cstring" 3
       
# 40 "/usr/include/c++/7/cstring" 3


# 1 "/usr/include/string.h" 1 3 4
# 23 "/usr/include/string.h" 3 4
#define _STRING_H 1

#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION 
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 31 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
#undef __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION





#undef __GLIBC_USE_LIB_EXT2


#define __GLIBC_USE_LIB_EXT2 1






#undef __GLIBC_USE_IEC_60559_BFP_EXT

#define __GLIBC_USE_IEC_60559_BFP_EXT 1






#undef __GLIBC_USE_IEC_60559_FUNCS_EXT

#define __GLIBC_USE_IEC_60559_FUNCS_EXT 1






#undef __GLIBC_USE_IEC_60559_TYPES_EXT

#define __GLIBC_USE_IEC_60559_TYPES_EXT 1
# 27 "/usr/include/string.h" 2 3 4

extern "C" {


#define __need_size_t 
#define __need_NULL 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 34 "/usr/include/string.h" 2 3 4



#define __CORRECT_ISO_CPP_STRING_H_PROTO 




extern void *memcpy (void *__restrict __dest, const void *__restrict __src,
       size_t __n) throw () __attribute__ ((__nonnull__ (1, 2)));


extern void *memmove (void *__dest, const void *__src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));





extern void *memccpy (void *__restrict __dest, const void *__restrict __src,
        int __c, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern void *memset (void *__s, int __c, size_t __n) throw () __attribute__ ((__nonnull__ (1)));


extern int memcmp (const void *__s1, const void *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern "C++"
{
extern void *memchr (void *__s, int __c, size_t __n)
      throw () __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const void *memchr (const void *__s, int __c, size_t __n)
      throw () __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 88 "/usr/include/string.h" 3 4
}
# 98 "/usr/include/string.h" 3 4
extern "C++" void *rawmemchr (void *__s, int __c)
     throw () __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const void *rawmemchr (const void *__s, int __c)
     throw () __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));







extern "C++" void *memrchr (void *__s, int __c, size_t __n)
      throw () __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const void *memrchr (const void *__s, int __c, size_t __n)
      throw () __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 121 "/usr/include/string.h" 3 4
extern char *strcpy (char *__restrict __dest, const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern char *strncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern char *strcat (char *__restrict __dest, const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern char *strncat (char *__restrict __dest, const char *__restrict __src,
        size_t __n) throw () __attribute__ ((__nonnull__ (1, 2)));


extern int strcmp (const char *__s1, const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int strncmp (const char *__s1, const char *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strcoll (const char *__s1, const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern size_t strxfrm (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (2)));






extern int strcoll_l (const char *__s1, const char *__s2, locale_t __l)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));


extern size_t strxfrm_l (char *__dest, const char *__src, size_t __n,
    locale_t __l) throw () __attribute__ ((__nonnull__ (2, 4)));





extern char *strdup (const char *__s)
     throw () __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));






extern char *strndup (const char *__string, size_t __n)
     throw () __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));




#define strdupa(s) (__extension__ ({ const char *__old = (s); size_t __len = strlen (__old) + 1; char *__new = (char *) __builtin_alloca (__len); (char *) memcpy (__new, __old, __len); }))
# 190 "/usr/include/string.h" 3 4
#define strndupa(s,n) (__extension__ ({ const char *__old = (s); size_t __len = strnlen (__old, (n)); char *__new = (char *) __builtin_alloca (__len + 1); __new[__len] = '\0'; (char *) memcpy (__new, __old, __len); }))
# 203 "/usr/include/string.h" 3 4
extern "C++"
{
extern char *strchr (char *__s, int __c)
     throw () __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strchr (const char *__s, int __c)
     throw () __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 223 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strrchr (char *__s, int __c)
     throw () __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strrchr (const char *__s, int __c)
     throw () __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 250 "/usr/include/string.h" 3 4
}
# 260 "/usr/include/string.h" 3 4
extern "C++" char *strchrnul (char *__s, int __c)
     throw () __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const char *strchrnul (const char *__s, int __c)
     throw () __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 272 "/usr/include/string.h" 3 4
extern size_t strcspn (const char *__s, const char *__reject)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern size_t strspn (const char *__s, const char *__accept)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern "C++"
{
extern char *strpbrk (char *__s, const char *__accept)
     throw () __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strpbrk (const char *__s, const char *__accept)
     throw () __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 300 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strstr (char *__haystack, const char *__needle)
     throw () __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strstr (const char *__haystack, const char *__needle)
     throw () __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 327 "/usr/include/string.h" 3 4
}







extern char *strtok (char *__restrict __s, const char *__restrict __delim)
     throw () __attribute__ ((__nonnull__ (2)));



extern char *__strtok_r (char *__restrict __s,
    const char *__restrict __delim,
    char **__restrict __save_ptr)
     throw () __attribute__ ((__nonnull__ (2, 3)));

extern char *strtok_r (char *__restrict __s, const char *__restrict __delim,
         char **__restrict __save_ptr)
     throw () __attribute__ ((__nonnull__ (2, 3)));





extern "C++" char *strcasestr (char *__haystack, const char *__needle)
     throw () __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern "C++" const char *strcasestr (const char *__haystack,
         const char *__needle)
     throw () __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 368 "/usr/include/string.h" 3 4
extern void *memmem (const void *__haystack, size_t __haystacklen,
       const void *__needle, size_t __needlelen)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 3)));



extern void *__mempcpy (void *__restrict __dest,
   const void *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern void *mempcpy (void *__restrict __dest,
        const void *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlen (const char *__s)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern size_t strnlen (const char *__string, size_t __maxlen)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern char *strerror (int __errnum) throw ();
# 420 "/usr/include/string.h" 3 4
extern char *strerror_r (int __errnum, char *__buf, size_t __buflen)
     throw () __attribute__ ((__nonnull__ (2))) ;





extern char *strerror_l (int __errnum, locale_t __l) throw ();



# 1 "/usr/include/strings.h" 1 3 4
# 19 "/usr/include/strings.h" 3 4
#define _STRINGS_H 1


#define __need_size_t 
# 1 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 1 3 4
# 161 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_ptrdiff_t
# 238 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_size_t
# 347 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_wchar_t
# 401 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef NULL

#define NULL __null
# 412 "/usr/lib/gcc/x86_64-linux-gnu/7/include/stddef.h" 3 4
#undef __need_NULL




#define offsetof(TYPE,MEMBER) __builtin_offsetof (TYPE, MEMBER)
# 24 "/usr/include/strings.h" 2 3 4



#define __CORRECT_ISO_CPP_STRINGS_H_PROTO 


extern "C" {



extern int bcmp (const void *__s1, const void *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern void bcopy (const void *__src, void *__dest, size_t __n)
  throw () __attribute__ ((__nonnull__ (1, 2)));


extern void bzero (void *__s, size_t __n) throw () __attribute__ ((__nonnull__ (1)));



extern "C++"
{
extern char *index (char *__s, int __c)
     throw () __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *index (const char *__s, int __c)
     throw () __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 66 "/usr/include/strings.h" 3 4
}







extern "C++"
{
extern char *rindex (char *__s, int __c)
     throw () __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *rindex (const char *__s, int __c)
     throw () __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 94 "/usr/include/strings.h" 3 4
}
# 104 "/usr/include/strings.h" 3 4
extern int ffs (int __i) throw () __attribute__ ((__const__));





extern int ffsl (long int __l) throw () __attribute__ ((__const__));
__extension__ extern int ffsll (long long int __ll)
     throw () __attribute__ ((__const__));



extern int strcasecmp (const char *__s1, const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strncasecmp (const char *__s1, const char *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));






extern int strcasecmp_l (const char *__s1, const char *__s2, locale_t __loc)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));



extern int strncasecmp_l (const char *__s1, const char *__s2,
     size_t __n, locale_t __loc)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 4)));


}
# 432 "/usr/include/string.h" 2 3 4



extern void explicit_bzero (void *__s, size_t __n) throw () __attribute__ ((__nonnull__ (1)));



extern char *strsep (char **__restrict __stringp,
       const char *__restrict __delim)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern char *strsignal (int __sig) throw ();


extern char *__stpcpy (char *__restrict __dest, const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));



extern char *__stpncpy (char *__restrict __dest,
   const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern int strverscmp (const char *__s1, const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *strfry (char *__string) throw () __attribute__ ((__nonnull__ (1)));


extern void *memfrob (void *__s, size_t __n) throw () __attribute__ ((__nonnull__ (1)));







extern "C++" char *basename (char *__filename)
     throw () __asm ("basename") __attribute__ ((__nonnull__ (1)));
extern "C++" const char *basename (const char *__filename)
     throw () __asm ("basename") __attribute__ ((__nonnull__ (1)));
# 498 "/usr/include/string.h" 3 4
}
# 43 "/usr/include/c++/7/cstring" 2 3


#define _GLIBCXX_CSTRING 1


#undef memchr
#undef memcmp
#undef memcpy
#undef memmove
#undef memset
#undef strcat
#undef strchr
#undef strcmp
#undef strcoll
#undef strcpy
#undef strcspn
#undef strerror
#undef strlen
#undef strncat
#undef strncmp
#undef strncpy
#undef strpbrk
#undef strrchr
#undef strspn
#undef strstr
#undef strtok
#undef strxfrm

namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::memchr;
  using ::memcmp;
  using ::memcpy;
  using ::memmove;
  using ::memset;
  using ::strcat;
  using ::strcmp;
  using ::strcoll;
  using ::strcpy;
  using ::strcspn;
  using ::strerror;
  using ::strlen;
  using ::strncat;
  using ::strncmp;
  using ::strncpy;
  using ::strspn;
  using ::strtok;
  using ::strxfrm;
  using ::strchr;
  using ::strpbrk;
  using ::strrchr;
  using ::strstr;
# 120 "/usr/include/c++/7/cstring" 3

}
# 14 "../bppindex.h" 2


#define BPPINDEX_H_ 

#define NEXT_BPP_INDEX_VALENCE_TYPE() __COUNTER__


# 20 "../bppindex.h"
namespace bpp
{

 class exception: public std::exception
 {
  std::string w;
 public:
  exception(const char *s)
  {
   w=s;
  }
  exception(int i)
  {
   char s[100];
   sprintf(s,"Index %d is out of bounds",i);
   w=s;
  }
  virtual const char *what() const noexcept
  {
   return w.c_str();
  }
 };

 template <int V_TYPE>
 class index
 {
 public:
  static const size_t iV_TYPE=V_TYPE;
  size_t offset() const { return 0; }
 };
 template <int V_TYPE>
 class indexWO;
 template <int V_TYPE>
 class indexW: public index<V_TYPE>
 {
 protected:
  size_t w;
 public:
  indexW(size_t width):w(width) {}
  size_t width() const { return w; }
  size_t offset() const { return 0; }
  size_t last() const { return w-1; }
  size_t first() const { return 0; }
  indexWO<V_TYPE> operator+(size_t offset) const { return indexWO<V_TYPE>(w,offset); }
  indexWO<V_TYPE> operator-(size_t offset) const { return indexWO<V_TYPE>(w,offset); }
 };
 template <int V_TYPE>
 class indexWO: public indexW<V_TYPE>
 {
  size_t o;
 public:
  indexWO(size_t width):indexW<V_TYPE>(width),o(0) {}
  indexWO(size_t width, size_t offset):indexW<V_TYPE>(width),o(offset) {}
  indexWO(const indexW<V_TYPE>& i, size_t offset):indexW<V_TYPE>(i.width()),o(offset) {}
  indexWO(const indexWO<V_TYPE>& i, size_t offset):indexW<V_TYPE>(i.w),o(i.o+offset) {}
  size_t offset() const { return o; }
  size_t last() const { return this->width()+o-1; }
  size_t first() const { return o; }
  indexWO operator+(size_t offset) const { return indexWO(this->w,o+offset); }
  indexWO operator-(size_t offset) const { return indexWO(this->w,o-offset); }
 };


 template <int V_TYPE>
 class maskO;
 template <int V_TYPE>
 class mask: public std::set<size_t>, public index<V_TYPE>
 {
 public:
  mask() {}
  mask(const std::set<size_t>& v) : std::set<size_t>(v) {}
  mask(const mask<V_TYPE>& i): std::set<size_t>(i) {}
  size_t width() const { return this->size(); }
  size_t offset() const { return 0; }
  size_t last() const { return size()==0?0:*rbegin(); }
  size_t first() const { return size()==0?0:*begin(); }
  maskO<V_TYPE> operator+(ptrdiff_t offset) const { return maskO<V_TYPE>(*this,offset); }
  maskO<V_TYPE> operator-(ptrdiff_t offset) const { return maskO<V_TYPE>(*this,offset); }
 };
 template <int V_TYPE>
 class maskO: public mask<V_TYPE>
 {
  ptrdiff_t o;
 public:
  maskO():o(0) {}
  maskO(const std::set<size_t>& v) : mask<V_TYPE>(v), o(0) {}
  maskO(const std::set<size_t>& v, ptrdiff_t offset):mask<V_TYPE>(v),o(offset) {}
  maskO(const mask<V_TYPE>& i, ptrdiff_t offset):mask<V_TYPE>(i),o(offset) {}
  maskO(const maskO<V_TYPE>& i, ptrdiff_t offset):mask<V_TYPE>(i),o(i.o+offset) {}
  ptrdiff_t offset() const { return o; }
  size_t last() const { return this->size()==0?o:*this->rbegin()+o; }
  size_t first() const { return this->size()==0?o:*this->begin()+o; }
  maskO operator+(ptrdiff_t offset) const { return maskO(this->w,o+offset); }
  maskO operator-(ptrdiff_t offset) const { return maskO(this->w,o-offset); }
 };

 namespace
 {
  class shapePlaceHolder
  {
   static shapePlaceHolder& get_clear() { static shapePlaceHolder zero; memset(&zero,0,sizeof(shapePlaceHolder)); return zero; }
   size_t data[3];

  public:
   static shapePlaceHolder& zero;
  };

  shapePlaceHolder& shapePlaceHolder::zero=shapePlaceHolder::get_clear();
 };

 template <typename src_class>
 struct shape_ptr
 {
  src_class *ptr;
 };

 template <size_t qty, typename ... indices> class change_shape_to_ptr;
 template <typename ... tail>
 class change_shape_to_ptr<0, tail...>
 {
 public:
  using type=change_shape_to_ptr<0,tail...>;

  static void convert(shapePlaceHolder *dest, const shapePlaceHolder *src){}

 };
 template <typename head, typename ... tail>
 class change_shape_to_ptr<1, head, tail...>
 {
 public:
  using type=change_shape_to_ptr<1,tail...,shape_ptr<head>>;
  using type_mm=change_shape_to_ptr<1,tail...>;
  static void convert(shapePlaceHolder *dest, const shapePlaceHolder *src)
  {
   reinterpret_cast<shape_ptr<const head>*>(dest)->ptr=reinterpret_cast<const head*>(src);
  }
  static void convert_mm(shapePlaceHolder *dest, const shapePlaceHolder *src) {}
 };
 template <typename head, typename ... tail>
 class change_shape_to_ptr<1, shape_ptr<head>, tail...>
 {
 public:
  using type=change_shape_to_ptr<1,tail...,shape_ptr<head>>;
  using type_mm=change_shape_to_ptr<1,tail...>;
  static void convert(shapePlaceHolder *dest, const shapePlaceHolder *src)
  {
   reinterpret_cast<shape_ptr<head>*>(dest)->ptr=reinterpret_cast<const shape_ptr<head>*>(src)->ptr;
  }
  static void convert_mm(shapePlaceHolder *dest, const shapePlaceHolder *src) {}
 };
 template <size_t qty, typename head, typename ... tail>
 class change_shape_to_ptr<qty, head, tail...>
 {
 public:
  using utype=change_shape_to_ptr<qty-1, tail..., shape_ptr<head> >;
  using type=typename change_shape_to_ptr<qty-1, tail..., shape_ptr<head> >::type;
  static void convert(shapePlaceHolder *dest, const shapePlaceHolder *src)
  {
   reinterpret_cast<shape_ptr<const head>*>(dest)->ptr=reinterpret_cast<const head*>(src);
   utype::convert(dest+1, src+1);
  }
  using type_mm=typename change_shape_to_ptr<qty-1, tail... >::type;
  static void convert_mm(shapePlaceHolder *dest, const shapePlaceHolder *src)
  {
   utype::convert(dest, src+1);
  }
 };
 template <size_t qty, typename head, typename ... tail>
 class change_shape_to_ptr<qty, shape_ptr<head>, tail...>
 {
 public:
  using utype=change_shape_to_ptr<qty-1, tail..., shape_ptr<head> >;
  using type=typename change_shape_to_ptr<qty-1, tail..., shape_ptr<head> >::type;
  static void convert(shapePlaceHolder *dest, const shapePlaceHolder *src)
  {
   reinterpret_cast<shape_ptr<head>*>(dest)->ptr=reinterpret_cast<shape_ptr<head>*>(src)->ptr;
   utype::convert(dest+1, src+1);
  }
  using type_mm=typename change_shape_to_ptr<qty-1, tail... >::type;
  static void convert_mm(shapePlaceHolder *dest, const shapePlaceHolder *src)
  {
   utype::convert(dest, src+1);
  }
 };

 template <int V_TYPE, int FROM_LAST, bool IS_PLANE, class SHAPE_BASE>
 class shape
 {
  size_t s;
  size_t w;
 public:
  template <typename T>
  void apply_numeric_index(T *&p, size_t o) const
  {
   if (o>=w)
    throw exception("Numeric index is out of the shape");
   p+=o*s;
  }
  shape(size_t s, size_t w): s(s), w(w) {}
  template <typename T>
  class index_iterator
  {
   size_t s;
   T * const end;
  public:
   index_iterator(const shape& i, T *&p): s(i.s), end(p+i.w*i.s) {}
   void move_one(T *&p) { p+=s; }
   size_t move(T *&p, size_t shift) { T *op=p; p+=s*shift; if (p<end) return shift; p=end; return p-op; }
   bool not_end(T *p) const { return p<end; }
  };
  static const size_t v_type=V_TYPE;
  static const int from_last=FROM_LAST;
  static const bool is_plane=IS_PLANE;
  using shape_base=SHAPE_BASE;
  size_t width() const { return w; };
  size_t step() const { return s; }
 };

 typedef shape<-1,false,true,void> defaultShape;

 template <int V_TYPE, int FROM_LAST, bool IS_PLANE, class SHAPE_BASE>
 class shapeM
 {
  size_t s;
  const mask<V_TYPE>& im;
 public:
  template <typename T>
  void apply_numeric_index(T *&p, size_t o) const
  {
   if (o>=im.size())
    throw exception("Numeric index is out of the shape");
   p+=im[o]*s;
  }
  template <typename T>
  class index_iterator
  {
   std::set<size_t>::iterator it;
   size_t s;
   size_t o;
   std::set<size_t>::iterator end;
  public:
   index_iterator(const shapeM& i, T *&p): it(i.im.begin()), s(i.s), o(it==end?0:*it), end(i.im.end()) { p+=o*s; }
   void move_one(T *&p) { if (it==end) return; size_t n=*(++it); p+=(n-o)*s; o=n; }
   size_t move(T *&p, size_t shift) { size_t ret; size_t n; for (ret=0;it!=end && ret<shift;ret++) ++it; n=(it==end?o:*it); p+=(n-o)*s; o=n; return ret; }
   bool not_end(T *p) const { return it!=end; }
  };
  static const size_t v_type=V_TYPE;
  static const int from_last=FROM_LAST;
  static const bool is_plane=IS_PLANE;
  using shape_base=SHAPE_BASE;
  shapeM(size_t s, const mask<V_TYPE>& im):s(s),im(im){}
  size_t width() const { return im.width(); };
 };

 template <int V_TYPE, int FROM_LAST, bool IS_PLANE, class SHAPE_BASE>
 class shapeG
 {
  size_t o;
  size_t w;
  const SHAPE_BASE& ib;
 public:

  shapeG(size_t o, size_t w, const SHAPE_BASE& ib) : o(o), w(w), ib(ib) {}
  template <typename T>
  void apply_numeric_index(T *&p, size_t o) const
  {
   if (o>=w)
    throw exception("Numeric index is out of the shape");
   typename SHAPE_BASE::template index_iterator<T> ii(ib,p);
   ii.move(p,o);
  }
  template <typename T>
  class index_iterator
  {
   typename SHAPE_BASE::template index_iterator<T> ii;
   size_t c;
   size_t end;
  public:
   index_iterator(const shapeG& i, T *&p): ii(typename SHAPE_BASE::template index_iterator<T>(i.ib,p)), c(i.o), end(i.w+c)
   {
    ii.move(p,c);
   }
   void move_one(T *&p) { if (ii.not_end(p) && c<end) { ii.move_one(p); c++; } }
   size_t move(T *&p, size_t shift) { size_t n=ii.move(p,shift); c+=n; return n; }
   bool not_end(T *p) const { return (ii.not_end(p) && c<end); }
  };
  static const size_t v_type=V_TYPE;
  static const int from_last=FROM_LAST;
  static const bool is_plane=IS_PLANE;
  using shape_base=SHAPE_BASE;
  size_t width() const { return w; };
 };

 template <int V_TYPE, int FROM_LAST, bool IS_PLANE, class SHAPE_BASE>
 class shapeMG
 {
  size_t o;
  const mask<V_TYPE>& im;
  const SHAPE_BASE& ib;
 public:
  template <typename T>
  void apply_numeric_index(T *&p, size_t o) const
  {
   if (o>=im.size())
    throw exception("Numeric index is out of the shape");
   typename SHAPE_BASE::template index_iterator<T> ii(ib,p);
   ii.move(p,im[o]);
  }
  template <typename T>
  class index_iterator
  {
   std::set<size_t>::iterator it;
   std::set<size_t>::iterator end;
   size_t o;
   typename SHAPE_BASE::template index_iterator<T> ii;




  public:
   index_iterator(const shapeMG& i, T *&p): it(i.im.begin()), end(i.im.end()), o(it==end?0:*it), ii(typename SHAPE_BASE::template index_iterator<T>(i.ib,p))
   {
    ii.move(p,o+i.o);
   }
   void move_one(T *&p) { if (ii.not_end(p) && it!=end) { size_t n=*(++it); if (it==end) return; n=ii.move(p,n-o); o+=n; } }
   size_t move(T *&p, size_t shift) { size_t n; for (n=0; n<shift && not_end(p); n++) move_one(p,shift); return n; }
   bool not_end(T *p) const { return (ii.not_end(p) && it!=end); }
  };
  static const size_t v_type=V_TYPE;
  static const int from_last=FROM_LAST;
  static const bool is_plane=IS_PLANE;
  using shape_base=SHAPE_BASE;
  shapeMG(size_t offset, const mask<V_TYPE>& im, const SHAPE_BASE& ib): o(offset), im(im), ib(ib) {}
  size_t width() const { return im.size(); };
 };

 template <typename shType>
 struct shape_ptr_getter
 {
  using type=shType;
  static const shType *get(const shapePlaceHolder *ph) { return reinterpret_cast<const shType*>(ph); }
 };
 template <typename shType>
 struct shape_ptr_getter<shape_ptr<shType> >
 {
  using type=shType;
  static const shType *get(const shapePlaceHolder *ph) { return (reinterpret_cast<const shape_ptr<shType>*>(ph))->ptr; }
 };


 template <typename T, typename newindex, typename oldshape> struct shape_creator;

 template <typename T, int V_TYPE, template <int,int,bool,class...> class oldshape, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, class ... base_class>
 struct shape_creator<T, index<V_TYPE>, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >
 {
  using newtype = oldshape<V_TYPE, FROM_LAST, IS_PLANE, base_class...>;
  static void create(T *&data, shapePlaceHolder *ph, index<V_TYPE>& i, const oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...>& oi)
  {
   memcpy(ph, (void *)&oi, sizeof(shapePlaceHolder));
  }
 };


 template <typename T, int V_TYPE, template <int,int,bool,class...> class oldshape, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, class ... base_class>
 struct shape_creator<T, indexW<V_TYPE>, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >
 {
  using newtype = shapeG<V_TYPE, FROM_LAST, false, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >;
  static void create(T *&data, shapePlaceHolder *ph, indexW<V_TYPE>& i, const oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   size_t o=0;

   size_t w=i.width();
   new (ph) newtype(o,w,oi);
  }
 };

 template <typename T, int V_TYPE, template <int,int,bool,class...> class oldshape, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, class ... base_class>
 struct shape_creator<T, indexWO<V_TYPE>, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >
 {
  using newtype = shapeG<V_TYPE, FROM_LAST, false, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >;
  static void create(T *&data, shapePlaceHolder *ph, indexWO<V_TYPE>& i, const oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   if (i.first()>i.last())
    throw exception("The index being applied is out of the left bound of the underlying shape");
   size_t o=i.offset();

   size_t w=i.width();
   new (ph) newtype(o,w,oi);
  }
 };

 template <typename T, int V_TYPE, template <int,int,bool,class...> class oldshape, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, class ... base_class>
 struct shape_creator<T, mask<V_TYPE>, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >
 {
  using newtype = shapeMG<V_TYPE, FROM_LAST, false, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >;
  static void create(T *&data, shapePlaceHolder *ph, mask<V_TYPE>& i, const oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   new (ph) newtype(0,i,oi);
  }
 };

 template <typename T, int V_TYPE, template <int,int,bool,class...> class oldshape, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, class ... base_class>
 struct shape_creator<T, maskO<V_TYPE>, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >
 {
  using newtype = shapeMG<V_TYPE, FROM_LAST, false, oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...> >;
  static void create(T *&data, shapePlaceHolder *ph, const maskO<V_TYPE>& i, const oldshape<old_V_TYPE, FROM_LAST, IS_PLANE, base_class...>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   if (i.first()>i.last())
    throw exception("The index being applied is out of the left bound of the underlying shape");
   new (ph) newtype(i.offset(),i,oi);
  }
 };

 template <typename T, int V_TYPE, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, typename SHAPE_BASE>
 struct shape_creator<T, indexW<V_TYPE>, shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE> >
 {
  using newtype = shape<V_TYPE, FROM_LAST, false, void>;
  static void create(T *&data, shapePlaceHolder *ph, indexW<V_TYPE>& i, const shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   size_t s=oi.step();
   size_t w=i.width();
   new (ph) newtype(s,w);
  }
 };

 template <typename T, int V_TYPE, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, typename SHAPE_BASE>
 struct shape_creator<T, indexWO<V_TYPE>, shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE> >
 {
  using newtype = shape<V_TYPE, FROM_LAST,false,void>;
  static void create(T *&data, shapePlaceHolder *ph, indexWO<V_TYPE>& i, const shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   if (i.first()>i.last())
    throw exception("The index being applied is out of the left bound of the underlying shape");
   data+=i.offset()*oi.step();
   size_t s=oi.step();
   size_t w=i.width();
   new (ph) newtype(s,w);
  }
 };

 template <typename T, int V_TYPE, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, typename SHAPE_BASE>
 struct shape_creator<T, mask<V_TYPE>, shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE> >
 {
  using newtype = shapeM<V_TYPE, FROM_LAST, false, void>;
  static void create(T *&data, shapePlaceHolder *ph, mask<V_TYPE>& i, const shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   size_t s=oi.step();
   new (ph) newtype(s,i);
  }
 };

 template <typename T, int V_TYPE, int old_V_TYPE, int FROM_LAST, bool IS_PLANE, typename SHAPE_BASE>
 struct shape_creator<T, maskO<V_TYPE>, shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE> >
 {
  using newtype = shapeM<V_TYPE, FROM_LAST, false, void>;
  static void create(T *&data, shapePlaceHolder *ph, maskO<V_TYPE>& i, const shape<old_V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE>& oi)
  {
   if (i.last()>=oi.width())
    throw exception("The index being applied is out of the right bound of the underlying shape");
   if (i.first()>i.last())
    throw exception("The index being applied is out of the left bound of the underlying shape");
   data+=i.offset()*oi.step();
   size_t s=oi.step();
   new (ph) newtype(s,i);
  }
 };

 template <bool parent_is_plane, size_t newq, typename newIndexType, bool found>
 struct indexed_is_plane
 {
  static const bool is_plane=false;
 };
 template <bool parent_is_plane, typename newIndexType>
 struct indexed_is_plane<parent_is_plane, 0, newIndexType, false>
 {
  static const bool is_plane=parent_is_plane;
 };
 template <bool parent_is_plane, size_t newq, int v_type>
 struct indexed_is_plane<parent_is_plane, newq, index<v_type>, false>
 {
  static const bool is_plane=parent_is_plane;
 };
 template <bool parent_is_plane, int v_type>
 struct indexed_is_plane<parent_is_plane, 0, index<v_type>,false>
 {
  static const bool is_plane=parent_is_plane;
 };

 template <typename itype> struct index_checker;
 template <template <int> class itype, int V_TYPE>
 struct index_checker<itype<V_TYPE> >
 {
  static const bool is_normal_index=false;
  static const int ivtype=V_TYPE;
  static const bool width_defined=false;
 };
 template <int V_TYPE>
 struct index_checker<index<V_TYPE> >
 {
  static const bool is_normal_index=true;
  static const int ivtype=V_TYPE;
  static const bool width_defined=false;
 };
 template <int V_TYPE>
 struct index_checker<indexW<V_TYPE> >
 {
  static const bool is_normal_index=true;
  static const int ivtype=V_TYPE;
  static const bool width_defined=true;
 };
 template <int V_TYPE>
 struct index_checker<indexWO<V_TYPE> >
 {
  static const bool is_normal_index=true;
  static const int ivtype=V_TYPE;
  static const bool width_defined=true;
 };

 template <typename itype> struct shape_checker;
 template <template <int, int, bool, class...> class itype, int V_TYPE, int FROM_LAST, bool IS_PLANE, class ... SHAPE_BASE>
 struct shape_checker<itype<V_TYPE, FROM_LAST, IS_PLANE, SHAPE_BASE...> >
 {
  static const bool is_normal_shape=false;
  static const int shtype=V_TYPE;
 };
 template <int V_TYPE, int FROM_LAST, bool IS_PLANE, typename SHAPE_BASE>
 struct shape_checker<shape<V_TYPE,FROM_LAST,IS_PLANE, SHAPE_BASE> >
 {
  static const bool is_normal_shape=true;
  static const int shtype=V_TYPE;
 };



 template <int I, int J>
 struct less_than : std::conditional<(I < J), std::true_type, std::false_type>::type {};
 template <int I, int J>
 struct less_or_eq : std::conditional<(I <= J), std::true_type, std::false_type>::type {};
 template <int I, int J>
 struct is_eq : std::conditional<(I == J), std::true_type, std::false_type>::type {};
 template <typename T, T, typename> struct prepend;
 template <typename T, T Add, template <T...> class Z, T... Is>
 struct prepend<T, Add, Z<Is...>>
 {
     using type = Z<Add, Is...>;
 };
 template <int ...> class sequence {};
 template <int toFind, int pNum, int ... Args>
 struct typeFindResult;

 template <int toFind, int pNum, int first, int ... Args>
 struct typeFindResult<toFind, pNum, first, Args...>
 {
  using found = typename std::conditional< is_eq<toFind,first>::value ,
    std::true_type,
    typename typeFindResult<toFind, pNum+1, Args ...>::found::type >::type;
  using place = typename std::conditional< less_or_eq<toFind,first>::value,
    std::integral_constant<int, pNum>,
    typename typeFindResult<toFind, pNum+1, Args ...>::place>::type;
  using rNum = typename std::conditional< is_eq<toFind,first>::value ,
    std::integral_constant<int, typeFindResult<toFind, pNum+1, Args ...>::rNum::type::value>,
    std::integral_constant<int, typeFindResult<toFind, pNum+1, Args ...>::rNum::type::value+1> >::type;
  using seq = typename std::conditional
    < is_eq<toFind,first>::value ,
     typename prepend<int,first,sequence<Args...> >::type,
     typename std::conditional
     < less_or_eq<toFind,first>::value,
      typename prepend<int,toFind,typename prepend<int,first,sequence<Args...> >::type >::type,
      typename prepend<int,first,typename typeFindResult<toFind, pNum+1, Args ...>::seq >::type
     >::type
    >::type;
 };

 template <int toFind, int pNum>
 struct typeFindResult<toFind, pNum>
 {
  using found = std::false_type::type;
  using place = typename std::integral_constant<int, pNum>::type;
  using rNum = std::integral_constant<int, 0>::type;
  using seq = sequence<toFind>;
 };

 template <int toFind, int ... Args>
 struct typeFinder
 {
  template <bool Found, int Place, int RNum, class rSeq>
  class resClass
  {
  public:
   static const bool found=Found;
   static const int place=Place;
   static const int rNum=RNum;
   using seq = rSeq;
  };
  using result = resClass<typeFindResult<toFind, 0, Args...>::found::value,
    typeFindResult<toFind, 0, Args...>::place::value,
    typeFindResult<toFind, 0, Args...>::rNum::value+1,
    typename typeFindResult<toFind, 0, Args...>::seq>;
 };


};


#define DECLARE_BPP_INDEX(ind) bpp::index<NEXT_BPP_INDEX_VALENCE_TYPE()> ind;


#define DECLARE_BPP_INDEXW(ind,width) bpp::indexW<NEXT_BPP_INDEX_VALENCE_TYPE()> ind(width);


#define DECLARE_BPP_INDEXIO(ind,base_ind,offset) bpp::indexWO<decltype(base_ind)::index_type_number> ind(base_ind,offset);



#define DECLARE_BPP_INDEXWO(ind,width,offset) bpp::indexWO<NEXT_BPP_INDEX_VALENCE_TYPE()> ind(width,offset);



#define DECLARE_BPP_mask(ind) bpp::mask<NEXT_BPP_INDEX_VALENCE_TYPE()> ind();



#define DECLARE_BPP_mask1(ind,p1) bpp::mask<NEXT_BPP_INDEX_VALENCE_TYPE()> ind(p1);



#define DECLARE_BPP_maskOffset1(ind,p1) bpp::maskO<NEXT_BPP_INDEX_VALENCE_TYPE()> ind(p1);



#define DECLARE_BPP_maskOffset2(ind,p1,p2) bpp::maskO<NEXT_BPP_INDEX_VALENCE_TYPE()> ind(p1,p2);
# 13 "../blaspp.h" 2

namespace bpp
{

 template <typename T>
 class shared_data
 {
  struct lock_info
  {
   size_t shared_qty;
  };
  static const size_t extra_element_qty=(sizeof(lock_info)+sizeof(T)-1)/sizeof(T);
 public:
  inline static T *alloc(size_t size)
  {
   if (size==0)
    return 
# 29 "../blaspp.h" 3 4
          __null
# 29 "../blaspp.h"
              ;
   T *p=new T[size+extra_element_qty];
   ((lock_info *)p)->shared_qty=1;
   return p+extra_element_qty;
  }
  inline static void share(const T *p)
  {
   if (!p)
    return;
   p-=extra_element_qty;
   lock_info *pli=(lock_info *)p;
   pli->shared_qty++;
  }
  inline static void free(const T *p)
  {
   if (!p)
    return;
   p-=extra_element_qty;
   lock_info *pad=(lock_info *)p;
   pad->shared_qty--;
   if (!pad->shared_qty)
    delete[] p;

  }
 };
# 67 "../blaspp.h"
 template <typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 class bpp;

 template <typename T, size_t rest, typename> struct make_plane_bpp;
 template <typename T, size_t rest, size_t dim, typename ... curshape>
 struct make_plane_bpp<T, rest, bpp<T, dim, 0, dim, curshape ...> >
 {
  using type=typename make_plane_bpp<T, rest-1, bpp<T, dim, 0, dim, curshape ..., shape<(int)(-rest),rest-1,true,void> > >::type;
 };
 template <typename T, size_t dim, typename ... curshape>
 struct make_plane_bpp<T, 0, bpp<T, dim, 0, dim, curshape ...> >
 {
  using type=bpp<T, dim, 0, dim, curshape ...>;
 };

 template <size_t dim, typename ... shapes> struct size_getter;
 template <size_t dim, typename head, typename ... shapes>
 struct size_getter<dim, head, shapes...>
 {
  static size_t size(const shapePlaceHolder *ph)
  {
   return shape_ptr_getter<head>::get(ph)->width()*size_getter<dim-1, shapes...>::size(ph+1);
  }
 };
 template <typename ... shapes>
 struct size_getter<0, shapes...>
 {
  static size_t size(const shapePlaceHolder *ph)
  {
   return 1;
  }
 };
# 130 "../blaspp.h"
 template <size_t dim, size_t cur, typename ... shapes> struct shape_getter;
 template <size_t dim, size_t cur, typename head, typename ... shapes>
 struct shape_getter<dim, cur, head, shapes...>
 {
  static void shape(size_t (&aw)[dim], const shapePlaceHolder *ph)
  {
   aw[dim-cur]=shape_ptr_getter<head>::get(ph)->width();
   shape_getter<dim, cur-1, shapes...>::shape(aw, ph+1);
  }
 };
 template <size_t dim, typename ... shapes>
 struct shape_getter<dim, 0, shapes...>
 {
  static void shape(size_t (&aw)[dim], const shapePlaceHolder *ph) {}
 };

 template <size_t num, typename ... shapes> struct shape_ptr_extractor;
 template <size_t num, typename head, typename ... shapes>
 struct shape_ptr_extractor<num, head, shapes...>
 {
  using shape_type=typename shape_ptr_extractor<num-1, shapes...>::shape_type;
  static const shape_type& shape_object(const shapePlaceHolder *ph) { return shape_ptr_extractor<num-1, shapes...>::shape_object(ph+1); }
 };
 template <typename head, typename ... shapes>
 struct shape_ptr_extractor<0, head, shapes...>
 {
  using shape_type=typename shape_ptr_getter<head>::type;
  static const shape_type& shape_object(const shapePlaceHolder *ph) { return *shape_ptr_getter<head>::get(ph); }
 };


};




template <typename T, size_t tot, size_t cur, typename ... Ts> struct std_array_maker;
template <typename T, size_t tot, size_t cur, typename ... Trest>
struct std_array_maker<T, tot, cur, T, Trest...>
{
 static void make(std::array<T, tot>& aw, T w, Trest ... rest)
 {
  aw[tot-cur]=w;
  std_array_maker<T,tot,cur-1,Trest...>::make(aw,rest...);
 }
 static void make(T (&aw)[tot], T w, Trest ... rest)
 {
  aw[tot-cur]=w;
  std_array_maker<T,tot,cur-1,Trest...>::make(aw,rest...);
 }
};
template <typename T, size_t tot>
struct std_array_maker<T, tot, 0>
{
 static void make(std::array<T, tot>& aw) {}
 static void make(T (&aw)[tot]) {}
};

template <size_t cur, typename cur_maker_type> struct std_array_template_maker;
template <typename T, size_t tot, size_t cur, typename ... Ts>
struct std_array_template_maker<cur, std_array_maker<T,tot,tot,Ts...> >
{
 using type=typename std_array_template_maker<cur-1,std_array_maker<T, tot, tot, T, Ts...> >::type;
};
template <typename T, size_t tot, typename ... Ts>
struct std_array_template_maker<0, std_array_maker<T,tot,tot,Ts...> >
{
 using type=std_array_maker<T,tot,tot,Ts...>;
};

template <typename T, size_t size, typename ... Ts>
std::array<T, size> make_std_array(Ts ... args)
{
 std::array<T, size> aw;
 using std_array_maker_type=typename std_array_template_maker<size, std_array_maker<T,size,size> >::type;
 std_array_maker_type::make(aw,args...);
 return aw;
}

template <typename T, size_t size, typename ... Ts>
void fill_ordinal_array(T (&aw)[size], Ts ... args)
{
 using std_array_maker_type=typename std_array_template_maker<size, std_array_maker<T,size,size> >::type;
 std_array_maker_type::make(aw,args...);
}


template <typename T, size_t totq, size_t newq, typename ... shapes>
using shaped_blaspp=bpp::bpp<T,totq,0,newq,shapes...>;
# 234 "../blaspp.h"
namespace bpp
{

 template <size_t newq, typename ... shapes>
 struct plane_counter;

 template <typename ... shapes>
 struct plane_counter<0,shapes...>
 {
  static const bool is_plane=true;
  static const size_t count=0;
  static const int expected_from_last=0;
 };

 template <size_t newq, typename head, typename ... shapes>
 struct plane_counter<newq, head, shapes...>
 {
  static const bool is_plane=(head::is_plane && plane_counter<newq-1,shapes...>::is_plane && plane_counter<newq-1,shapes...>::expected_from_last==head::from_last);
  static const size_t count=
    (head::is_plane
     && plane_counter<newq-1,shapes...>::is_plane
     && plane_counter<newq-1,shapes...>::expected_from_last==head::from_last)
      ?plane_counter<newq-1,shapes...>::count+1
      :plane_counter<newq-1,shapes...>::count;
  static const int expected_from_last=head::from_last+1;
 };

 template <size_t newq, int V_TYPE, int FROM_LAST, bool IS_PLANE, typename base_class, typename ... shapes>
 struct plane_counter<newq, shape<V_TYPE,FROM_LAST,IS_PLANE,base_class>, shapes...>
 {
  using head=shape<V_TYPE,FROM_LAST,IS_PLANE,base_class>;
  static const bool is_plane=(head::is_plane && plane_counter<newq-1,shapes...>::is_plane && plane_counter<newq-1,shapes...>::expected_from_last==head::from_last);
  static const size_t count=
    (plane_counter<newq-1,shapes...>::is_plane
     && plane_counter<newq-1,shapes...>::expected_from_last==head::from_last)
      ?plane_counter<newq-1,shapes...>::count+1
      :plane_counter<newq-1,shapes...>::count;
  static const int expected_from_last=head::from_last+1;
 };

 template <bool MARK_PLANE, typename shType>
 struct plane_marker_one;

 template <bool MARK_PLANE, template <int, int, bool, typename...> class ShapeBase, int V_TYPE, int FROM_LAST, bool IS_PLANE, typename ... base_class>
 struct plane_marker_one<MARK_PLANE,ShapeBase<V_TYPE,FROM_LAST,IS_PLANE,base_class...> >
 {
  using marked=ShapeBase<V_TYPE,FROM_LAST,MARK_PLANE,base_class...>;
 };

 template <size_t ctotq, size_t cnpq, typename>
 struct plane_marker;

 template <size_t ctotq, size_t cnpq, typename T, size_t totq, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct plane_marker<ctotq, cnpq, bpp<T, totq, oldq, newq, head, shapes...> >
 {
  using result_type=typename plane_marker<ctotq-1, cnpq-1, bpp<T, totq, oldq, newq, shapes..., typename plane_marker_one<false,head>::marked> >::result_type;
 };

 template <size_t ctotq, typename T, size_t totq, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct plane_marker<ctotq, 0, bpp<T, totq, oldq, newq, head, shapes...> >
 {
  using result_type=typename plane_marker<ctotq-1, 0, bpp<T, totq, oldq, newq, shapes..., typename plane_marker_one<true,head>::marked> >::result_type;
 };

 template <typename T, size_t totq, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct plane_marker<0, 0, bpp<T, totq, oldq, newq, head, shapes...> >
 {
  using result_type=bpp<T, totq, oldq, newq, head, shapes...>;
 };

 template <size_t ctotq, size_t cnpq, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct plane_marker<ctotq, cnpq, bpp<T, totq, oldq, newq, shapes...> >
 {
  using result_type=bpp<T, totq, oldq, newq, shapes...>;
 };

 template <bool Found, size_t Glue_place, bool Need_glue>
 struct glue_data
 {
  static const bool found=Found;
  static const size_t glue_place=Glue_place;
  static const bool need_glue=Need_glue;
 };

 template <bool is_normal_shape, int shtype, int V_TYPE, size_t totnewq, size_t newq, typename ... shapes>
 struct shape_type_finder_f;

 template <bool is_normal_shape, int shtype, int V_TYPE, size_t totnewq, size_t newq, typename head, typename ... shapes>
 struct shape_type_finder_f<is_normal_shape, shtype, V_TYPE, totnewq, newq, head, shapes...>
 {
  using glue_type=typename shape_type_finder_f<shape_checker<head>::is_normal_shape, shape_checker<head>::shtype, V_TYPE, totnewq, newq-1, shapes..., head>::glue_type;



 };

 template <int V_TYPE, size_t totnewq, size_t newq, typename ... shapes>
 struct shape_type_finder_f<true, V_TYPE, V_TYPE, totnewq, newq, shapes...>
 {
  using glue_type=glue_data<true,totnewq-newq-1,true>;



 };

 template <int V_TYPE, size_t totnewq, size_t newq, typename ... shapes>
 struct shape_type_finder_f<false, V_TYPE, V_TYPE, totnewq, newq, shapes...>
 {
  using glue_type=glue_data<true,totnewq-newq-1,false>;



 };

 template <bool is_normal_shape, int shtype, int V_TYPE, size_t totnewq, typename ... shapes>
 struct shape_type_finder_f<is_normal_shape, shtype, V_TYPE, totnewq, 0, shapes...>
 {
  using glue_type=glue_data<false,0,false>;



 };

 template <int V_TYPE, size_t totnewq, size_t newq, typename head, typename ... shapes>
 struct shape_type_finder_f<true, V_TYPE, V_TYPE, totnewq, newq, head, shapes...>
 {
  using glue_type=glue_data<true,totnewq-newq-1,true>;



 };

 template <int V_TYPE, size_t totnewq, size_t newq, typename head, typename ... shapes>
 struct shape_type_finder_f<false, V_TYPE, V_TYPE, totnewq, newq, head, shapes...>
 {
  using glue_type=glue_data<true,totnewq-newq-1,false>;



 };

 template <bool is_normal_shape, int shtype, int V_TYPE, size_t totnewq, typename head, typename ... shapes>
 struct shape_type_finder_f<is_normal_shape, shtype, V_TYPE, totnewq, 0, head, shapes...>
 {
  using glue_type=glue_data<false,0,false>;



 };


 template <int V_TYPE, size_t totnewq, typename ... shapes>
 struct shape_type_finder_f<true, V_TYPE, V_TYPE, totnewq, 0, shapes...>
 {
  using glue_type=glue_data<true, totnewq-1, true>;



 };

 template <int V_TYPE, size_t totnewq, typename head, typename ... shapes>
 struct shape_type_finder_f<true, V_TYPE, V_TYPE, totnewq, 0, head, shapes...>
 {
  using glue_type=glue_data<true, totnewq-1, true>;



 };

 template <int V_TYPE, size_t totnewq, typename ... shapes>
 struct shape_type_finder_f<false, V_TYPE, V_TYPE, totnewq, 0, shapes...>
 {
  using glue_type=glue_data<true, totnewq-1, false>;



 };

 template <int V_TYPE, size_t totnewq, typename head, typename ... shapes>
 struct shape_type_finder_f<false, V_TYPE, V_TYPE, totnewq, 0, head, shapes...>
 {
  using glue_type=glue_data<true, totnewq-1, false>;



 };

 template <int V_TYPE, size_t oldq, size_t newq, typename ... shapes>
 struct shape_type_finder_s;

 template <int V_TYPE, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct shape_type_finder_s<V_TYPE, oldq, newq, head, shapes...>
 {
  using glue_type=typename shape_type_finder_s<V_TYPE, oldq-1, newq, shapes...,head>::glue_type;



 };

 template <int V_TYPE, size_t newq, typename ... shapes>
 struct shape_type_finder_s<V_TYPE, 0, newq, shapes...>
 {
  using glue_type=typename shape_type_finder_f<false, 0, V_TYPE, newq, newq, shapes...>::glue_type;



 };

 template <int V_TYPE, size_t newq, typename head, typename ... shapes>
 struct shape_type_finder_s<V_TYPE, 0, newq, head, shapes...>
 {
  using glue_type=typename shape_type_finder_f<false, 0, V_TYPE, newq, newq, head, shapes...>::glue_type;



 };

 template <bool is_normal_index, int V_TYPE, size_t oldq, size_t newq, typename ... shapes>
 struct shape_type_finder_ichk
 {
  using glue_type=typename shape_type_finder_s<V_TYPE, oldq, newq, shapes...>::glue_type;
 };

 template <int V_TYPE, size_t oldq, size_t newq, typename ... shapes>
 struct shape_type_finder_ichk<false, V_TYPE, oldq, newq, shapes...>
 {
  using glue_type=glue_data<shape_type_finder_s<V_TYPE, oldq, newq, shapes...>::glue_type::found,
    shape_type_finder_s<V_TYPE, oldq, newq, shapes...>::glue_type::glue_place,
    false>;



 };

 template <typename itype, size_t oldq, size_t newq, typename ... shapes>
 struct shape_type_finder
 {
  using glue_type=typename shape_type_finder_ichk<index_checker<itype>::is_normal_index, index_checker<itype>::ivtype, oldq, newq, shapes...>::glue_type;



 };

 template <typename itype, bool found, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct normal_bracket_type_not_glue;

 template <typename itype, bool found, typename T, size_t totq, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct normal_bracket_type_not_glue<itype, found, T, totq, oldq, newq, head, shapes...>
 {
  template <typename newtype>
  using created_shape_type=typename shape_creator<T,newtype,typename shape_ptr_getter<head>::type>::newtype;
  using bracket_type=bpp<T, totq, oldq-1, newq+1, shapes..., created_shape_type<itype> >;
 };

 template <typename itype, bool found, typename T, size_t totq, size_t newq, typename head, typename ... shapes>
 struct normal_bracket_type_not_glue<itype, found, T, totq, 1, newq, head, shapes...>
 {
  template <typename newtype>
  using created_shape_type=typename shape_creator<T,newtype,typename shape_ptr_getter<head>::type>::newtype;
  using bracket_type_not_marked=bpp<T, newq+1, 0, newq+1, shapes..., created_shape_type<itype> >;

  using bracket_type=typename plane_marker<newq+1,newq+1-plane_counter<newq+1,shapes..., created_shape_type<itype> >::count,bracket_type_not_marked>::result_type;
 };

 template <typename itype, bool found, typename T, size_t totq, size_t newq, typename head, typename ... shapes>
 struct normal_bracket_type_not_glue<itype, found, T, totq, 0, newq, head, shapes...>
 {
  template <typename newtype>
  using created_shape_type=typename shape_creator<T,newtype,typename shape_ptr_getter<head>::type>::newtype;
  template <typename, typename> struct iptr;
  template <typename newshape, size_t totqi, typename ... indicesi>
  struct iptr<newshape, change_shape_to_ptr<totqi, indicesi...> >
  {
   using type=bpp<T, newq, newq-1, 1, indicesi..., newshape>;
  };
  template <typename newtype, typename newshape>
  using dest_type=typename iptr<newshape, typename change_shape_to_ptr<totq, head, shapes...>::type_mm>::type;
  using bracket_type=dest_type<itype,created_shape_type<itype> >;

 };


 template <typename itype, bool found, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct normal_bracket_type_glue;

 template <typename itype, bool found, typename T, size_t totq, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct normal_bracket_type_glue<itype, found, T, totq, oldq, newq, head, shapes...>
 {
  using bracket_type=bpp<T, totq, oldq-1, newq, shapes...>;
 };

 template <typename itype, bool found, typename T, size_t totq, size_t newq, typename head, typename ... shapes>
 struct normal_bracket_type_glue<itype, found, T, totq, 1, newq, head, shapes...>
 {
  using bracket_type_not_marked=bpp<T, newq, 0, newq, shapes...>;
  using bracket_type=typename plane_marker<newq,newq-plane_counter<newq,shapes...>::count,bracket_type_not_marked>::result_type;
 };

 template <typename itype, bool found, typename T, size_t totq, size_t newq, typename head, typename ... shapes>
 struct normal_bracket_type_glue<itype, found, T, totq, 0, newq, head, shapes...>
 {
# 543 "../blaspp.h"
  template <typename> struct iptr;
  template <size_t totqi, typename ... indicesi>
  struct iptr<change_shape_to_ptr<totqi, indicesi...> >
  {
   using type_mm=bpp<T, newq-1, newq-1, 0, indicesi...>;

  };
  using bracket_type=typename iptr<typename change_shape_to_ptr<totq, head, shapes...>::type_mm>::type_mm;

 };


 template <typename itype, typename glue_type, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct normal_bracket_type;

 template <typename itype, bool found, size_t glue_place, bool need_glue, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct normal_bracket_type<itype, glue_data<found,glue_place,need_glue>, T,totq, oldq, newq, shapes...>
 {
  using bracket_type=typename normal_bracket_type_not_glue<itype, found, T, totq, oldq, newq, shapes...>::bracket_type;


 };

 template <typename itype, bool found, size_t glue_place, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct normal_bracket_type<itype, glue_data<found,glue_place,true>, T,totq, oldq, newq, shapes...>
 {
  using bracket_type=typename normal_bracket_type_glue<itype, found, T, totq, oldq, newq, shapes...>::bracket_type;



 };

 template <typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct size_t_bracket_type;

 template <typename T, size_t totq, size_t oldq, size_t newq, typename head, typename ... shapes>
 struct size_t_bracket_type<T, totq, oldq, newq, head, shapes...>
 {
  using bracket_type=bpp<T, totq, oldq-1, newq, shapes...>;
 };

 template <typename T, size_t totq, size_t newq, typename head, typename ... shapes>
 struct size_t_bracket_type<T, totq, 1, newq, head, shapes...>
 {
  using bracket_type_not_marked=bpp<T, newq, 0, newq, shapes...>;
  using bracket_type=typename plane_marker<newq,newq-plane_counter<newq,shapes...>::count,bracket_type_not_marked>::result_type;
 };

 template <typename T, size_t totq, size_t newq, typename head, typename ... shapes>
 struct size_t_bracket_type<T, totq, 0, newq, head, shapes...>
 {
  template <typename> struct iptr;
  template <size_t totqi, typename ... indicesi>
  struct iptr<change_shape_to_ptr<totqi, indicesi...> >
  {
   using type_mm=bpp<T, newq-1, newq-1, 0, indicesi...>;

  };
  using bracket_type=typename iptr<typename change_shape_to_ptr<totq, head, shapes...>::type_mm>::type_mm;

 };


 template <typename itype, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct bracket_type;

 template <typename itype, typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct bracket_type
 {
  using type=typename normal_bracket_type<itype, typename shape_type_finder<itype,oldq,newq,shapes...>::glue_type, T, totq, oldq, newq, shapes...>::bracket_type;
  using glue_type=typename shape_type_finder<itype,oldq,newq,shapes...>::glue_type;


 };

 template <typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 struct bracket_type<size_t, T, totq, oldq, newq, shapes...>
 {
  using type=typename size_t_bracket_type<T, totq, oldq, newq, shapes...>::bracket_type;
  using glue_type=glue_data<false,0,false>;


 };
 template <typename T, size_t totq, size_t oldq, size_t newq, typename ... shapes>
 class bpp_base
 {
 protected:
  T *shared_data_ptr;
  T *data;
  std::array<shapePlaceHolder,totq> ind;
  template <typename, size_t, size_t, size_t, typename ...> friend class bpp;

  template <typename, size_t, typename, typename ...> friend class shaped;
  template <typename, size_t, size_t, size_t, typename, typename ...> friend class non_shaped;
  template <typename, size_t, typename ...> friend class trivial;
  template <typename, size_t, template <int,int,bool,typename> class, int, int , typename , typename ... > friend class plane;
  bpp_base():shared_data_ptr(
# 639 "../blaspp.h" 3 4
                            __null
# 639 "../blaspp.h"
                                ),data(
# 639 "../blaspp.h" 3 4
                                       __null
# 639 "../blaspp.h"
                                           ){ ind.fill(shapePlaceHolder::zero); }
  bpp_base(size_t size): shared_data_ptr(shared_data<T>::alloc(size)),data(shared_data_ptr) {}

  bpp_base(const bpp_base& src): shared_data_ptr(src.shared_data_ptr), data(src.data), ind(src.ind) { shared_data<T>::share(shared_data_ptr); }
  void move_ptrs(T *shared_data_ptr, T *data)
  {
   shared_data<T>::free(shared_data_ptr);
   this->shared_data_ptr=shared_data_ptr;
   this->data=data;
   shared_data<T>::share(shared_data_ptr);

  }
  ~bpp_base() { shared_data<T>::free(shared_data_ptr); }







 public:
  void free() { shared_data<T>::free(shared_data_ptr); ind.fill(shapePlaceHolder::zero); }

 };

 template <typename T, size_t newq, typename csh, typename ... shapes>
 class shaped: public bpp_base<T,newq,0,newq,csh,shapes...>
 {
 protected:
  template <typename, size_t, size_t, size_t, typename ...> friend class bpp;
  template <typename, size_t, typename, typename ...> friend class shaped;

  template <typename, size_t, size_t, size_t, typename, typename ...> friend class non_shaped;
  template <typename, size_t, typename ...> friend class trivial;
  template <typename, size_t, template <int,int,bool,typename> class, int, int , typename , typename ... > friend class plane;
  shaped():bpp_base<T,newq,0,newq,csh,shapes...>(){}

  size_t init(const size_t (&aw)[newq])
  {
   size_t step=1;
   for (size_t d=newq-1;;d--)
   {
    new (&(this->ind[d])) defaultShape(step,aw[d]);
    step*=aw[d];
    if (!d)
     break;
   }
   return step;
  }

  shaped(const size_t (&aw)[newq]):bpp_base<T,newq,0,newq,csh,shapes...>(init(aw)) {}
  shaped(const shaped& src): bpp_base<T,newq,0,newq,csh,shapes...>(src) {}
  using bracket_type_size_t=typename bracket_type<size_t, T, newq, 0, newq, csh, shapes...>::type;
  template <typename newtype>
  using bracket_type_new=typename bracket_type<newtype, T, newq, 0, newq, csh, shapes...>::type;
 public:
  static const bool is_plane=csh::is_plane;
  void generate_compile_error_if_not_shaped() {}
  bool is_allocated() { return this->shared_data_ptr!=0; }
  bracket_type_size_t operator[](size_t i) const
  {
   bracket_type_size_t ret;
   ret.move_ptrs(this->shared_data_ptr, this->data);
   change_shape_to_ptr<newq, csh, shapes...>::convert_mm(ret.ind.data(), this->ind.data());
   shape_ptr_getter<csh>::get(&(this->ind[0]))->apply_numeric_index(ret.data,i);
   return ret;
  }
  template <template <int> class itype, int V_TYPE>
  bracket_type_new<itype<V_TYPE> > operator[](itype<V_TYPE>& i) const
  {
   bracket_type_new<itype<V_TYPE> > ret;
   ret.move_ptrs(this->shared_data_ptr, this->data);
   change_shape_to_ptr<newq-1, shapes...>::convert(ret.ind.data()+1, this->ind.data()+1);
   shape_creator<T,itype<V_TYPE>,typename shape_ptr_getter<csh>::type>::create(ret.data,ret.ind.data(),i,*shape_ptr_getter<csh>::get(this->ind.data()));
   return ret;
  }

  size_t size() const
  {
   return size_getter<newq, csh, shapes...>::size(this->ind.data());
  }
  void get_shape(size_t (&aw)[newq]) const
  {
   shape_getter<newq, newq, csh, shapes...>::shape(aw,this->ind.data());
  }




  template <size_t num>
  const typename shape_ptr_extractor<num, csh, shapes...>::shape_type& get_shape_object() const
  {
   return shape_ptr_extractor<num, csh, shapes...>::shape_object(this->ind.data());
  }
  T *get_data() { return this->data; }
 };

 template <typename T, size_t newq, typename csh, typename ... shapes>
 class bpp<T, newq, 0, newq, csh, shapes...>: public shaped<T, newq, csh, shapes...>
 {
  template <typename, size_t, size_t, size_t, typename ...> friend class bpp;

  template <typename, size_t, typename, typename ...> friend class shaped;
  template <typename, size_t, size_t, size_t, typename, typename ...> friend class non_shaped;
  template <typename, size_t, typename ...> friend class trivial;
  template <typename, size_t, template <int,int,bool,typename> class, int, int , typename , typename ... > friend class plane;
 public:
  bpp(): shaped<T, newq, csh, shapes...>() {}
  bpp(const bpp& src): shaped<T, newq, csh, shapes...>(src) {}
 };


 template <typename T, size_t newq, template <int,int,bool,typename> class baseclass, int V_TYPE, int FROM_LAST, typename SHAPE_BASE, typename ... shapes>
 class bpp<T, newq, 0,newq, baseclass<V_TYPE,FROM_LAST,true,SHAPE_BASE>, shapes...>: public shaped<T, newq, baseclass<V_TYPE,FROM_LAST,true,SHAPE_BASE>, shapes...>
 {
  using csh=baseclass<V_TYPE,FROM_LAST,true,SHAPE_BASE>;
  template <typename, size_t, size_t, size_t, typename ...> friend class bpp;

  template <typename, size_t, typename, typename ...> friend class shaped;
  template <typename, size_t, size_t, size_t, typename, typename ...> friend class non_shaped;
  template <typename, size_t, typename ...> friend class trivial;
  template <typename, size_t, template <int,int,bool,typename> class, int, int , typename , typename ... > friend class plane;
# 772 "../blaspp.h"
  using standard_type=typename make_plane_bpp<T, newq, bpp<T, newq, 0, newq> >::type;
 public:
  bpp():shaped<T, newq, csh, shapes...>(){}
  bpp(const bpp& src): shaped<T, newq, csh, shapes...>(src) {}
  template <class ... Ts>
  bpp(size_t w0, Ts... wr):shaped<T, newq, csh, shapes...>({w0,wr...}){}
  bpp(const size_t (&aw)[newq]) : shaped<T, newq, csh, shapes...>(aw) {}


  template <size_t newTotq>
  using reshaped_type=typename make_plane_bpp<T, newTotq, bpp<T, newTotq, 0, newTotq> >::type;
  template <size_t newTotq>
  reshaped_type<newTotq> reshape(const size_t (&aw)[newTotq]) const
  {
   typename make_plane_bpp<T, newTotq, bpp<T, newTotq, 0, newTotq> >::type ret;
   ret.move_ptrs(this->shared_data_ptr, this->data);
   size_t step=1;
   for (size_t d=newTotq-1;;d--)
   {
    new (&(ret.ind[d])) defaultShape(step,aw[d]);
    step*=aw[d];
    if (!d)
     break;
   }
   if (step!=this->size())
    throw exception("Trying to reshape blaspp data object to different size");
   return ret;
  }
  template <size_t newTotq>
  reshaped_type<newTotq> reshape(const int (&awi)[newTotq]) const
  {
   size_t aw[newTotq];
   for (size_t i=0;i<newTotq;i++)
   {
    aw[i]=awi[i];
   }
   return reshape(aw);
  }
  template <typename ... Ts>
  using reshaped_type2=typename make_plane_bpp<T, sizeof...(Ts)+1, bpp<T, sizeof...(Ts)+1, 0, sizeof...(Ts)+1> >::type;

  template <typename ... Ts>
  reshaped_type2<Ts...> reshape(size_t w0, Ts... wr) const
  {
   static const size_t dim=sizeof...(Ts)+1;
   size_t aw[dim]={w0,wr...};




   return reshape<dim>(aw);
  }
  template <typename ... Ts>
  reshaped_type2<Ts...> reshape(int w0, Ts... wr) const
  {
   static const size_t dim=sizeof...(Ts)+1;
   int awi[dim]={w0,wr...};
   size_t aw[dim];
   for (size_t i=0;i<dim;i++)
   {
    aw[i]=awi[i];
   }




   return reshape<dim>(aw);
  }
  standard_type& redim(const size_t (&aw)[newq])
  {
   static_assert(std::is_same<bpp,standard_type>::value,"redim can be applied only to initial bpp objects");
   shared_data<T>::free(this->shared_data_ptr);
   this->shared_data_ptr=shared_data<T>::alloc(this->init(aw));
   this->data=this->shared_data_ptr;
   return *this;
  }
  template <typename ... Ts>
  standard_type& redim(size_t w0, Ts... wr)
  {
   static_assert(std::is_same<bpp,standard_type>::value,"The 'redim' method can be applied only to initial bpp objects");
   static const size_t dim=sizeof...(wr)+1;
   static_assert(dim==newq,"Number of initializers of dimensions is not equal to number of dimensions");
   static_assert(sizeof...(wr)+1==newq,"Number of initializers of dimensions is not equal to number of dimensions");
   size_t aw[newq]={w0,wr...};
   return redim(aw);

  }
  template <typename ... Ts>
  standard_type& redim(int w0, Ts... wr)
  {
   static_assert(std::is_same<bpp,standard_type>::value,"The 'redim' method can be applied only to initial bpp objects");
   static const size_t dim=sizeof...(wr)+1;
   static_assert(dim==newq,"Number of initializers of dimensions is not equal to number of dimensions");
   static_assert(sizeof...(wr)+1==newq,"Number of initializers of dimensions is not equal to number of dimensions");
   int awi[newq]={w0,wr...};
   size_t aw[newq];
   for (size_t i=0;i<newq;i++)
   {
    aw[i]=awi[i];
   }
   return redim(aw);

  }
# 886 "../blaspp.h"
 };
# 1078 "../blaspp.h"
 template <typename T, size_t totq, size_t oldq, size_t newq, typename csh, typename ... shapes>
 class bpp<T,totq,oldq,newq,csh,shapes...>: public bpp_base<T,totq,oldq,newq,csh,shapes...>
 {
 protected:
  template <typename, size_t, size_t, size_t, typename ...> friend class bpp;

  template <typename, size_t, typename, typename ...> friend class shaped;
  template <typename, size_t, size_t, size_t, typename, typename ...> friend class non_shaped;
  template <typename, size_t, typename ...> friend class trivial;
  template <typename, size_t, template <int,int,bool,typename> class, int, int , typename , typename ... > friend class plane;
  using bracket_type_size_t=typename bracket_type<size_t, T, totq, oldq, newq, csh, shapes...>::type;
  template <typename newtype>
  using bracket_type_new=typename bracket_type<newtype, T, totq, oldq, newq, csh, shapes...>::type;
  template <typename itype>
  using glue_type=typename shape_type_finder<itype, oldq, newq, csh, shapes...>::glue_type;
 public:
  bpp():bpp_base<T,totq,oldq,newq,csh,shapes...>(){}
  bpp(const bpp& src): bpp_base<T,totq,oldq,newq,csh,shapes...>(src){}
  bracket_type_size_t& operator[](size_t i)
  {
   shape_ptr_getter<csh>::get(&(this->ind[totq-oldq]))->apply_numeric_index(this->data,i);
   return *(reinterpret_cast<bracket_type_size_t*>(this));
  }
  template <template <int> class itype, int V_TYPE>
  bracket_type_new<itype<V_TYPE> >& operator[](itype<V_TYPE>& i)
  {
   if (glue_type<itype<V_TYPE> >::need_glue)
   {
    using shtype=shape<V_TYPE,0,true,void>;
    shtype sh(0,0);
    shape_creator<T,itype<V_TYPE>,typename shape_ptr_getter<csh>::type>::create(this->data,reinterpret_cast<shapePlaceHolder*>(&sh),i,*shape_ptr_getter<csh>::get(&(this->ind[totq-oldq])));
    shtype& osh=*(reinterpret_cast<shtype*>(this->ind.data()+glue_type<itype<V_TYPE> >::glue_place));
    if (osh.width()!=sh.width())
     throw exception("Indices of the same valence type and with different widths are used simultaneously");
    size_t new_step=sh.step()+osh.step();
    size_t width=sh.width();
    new (&osh) shtype(new_step,width);
    return *(reinterpret_cast<bracket_type_new<itype<V_TYPE> >*>(this));
   }
   else
   {
    shape_creator<T,itype<V_TYPE>,typename shape_ptr_getter<csh>::type>::create(this->data,this->ind.data()+newq,i,*shape_ptr_getter<csh>::get(&(this->ind[totq-oldq])));
    return *(reinterpret_cast<bracket_type_new<itype<V_TYPE> >*>(this));
   }
  }
 };
# 1197 "../blaspp.h"
 template <typename T, size_t totq, typename ... shapes>
 class bpp<T, totq, 0, 0, shapes...>: public bpp_base<T,totq,0,0,shapes...>
 {
  template <typename, size_t, size_t, size_t, typename ...> friend class bpp;

  template <typename, size_t, typename, typename ...> friend class shaped;
  template <typename, size_t, size_t, size_t, typename, typename ...> friend class non_shaped;
  template <typename, size_t, typename ...> friend class trivial;
  template <typename, size_t, template <int,int,bool,typename> class, int, int , typename , typename ... > friend class plane;
 public:
  bpp():bpp_base<T,totq,0,0,shapes...>(){}
  bpp(const bpp& src): bpp_base<T,totq,0,0,shapes...>(src) {}
  operator const T&() const { return *this->data; }
  operator T&() { return *this->data; }
  bpp& operator=(const T& v) { *this->data=v; return *this; }
 };
# 1290 "../blaspp.h"
};

template <size_t dim, typename T=double>
using blaspp=typename bpp::make_plane_bpp<T, dim, bpp::bpp<T, dim, 0, dim> >::type;
# 9 "../test.cpp" 2


template <typename T, size_t totq, size_t newq, typename ... shapes>
void test3(shaped_blaspp<T,totq,newq,shapes...>& v)
{
 v[0][1]=1;
}

void test_shape_creator()
{
 blaspp<1> v({14});


 bpp::index<0> C;;

 auto clear=v[C];
 auto shape=v.get_shape_object<0>();
 double *vdata=&((double&)v[0]);
 for (decltype(shape)::index_iterator<double> it(shape,vdata);it.not_end(vdata);it.move_one(vdata))
  *vdata=-1000;


 size_t new_dim[2]={7,2};
 auto v2=v.reshape(new_dim);
 auto vb=v.reshape({2,7});
 auto vb2=v.reshape(2,7);
 blaspp<2> tsta3({7,2});
 v2=v.reshape(7,2);
 std::set<size_t> m;
 m.insert(1);
 m.insert(3);
 m.insert(4);
 m.insert(5);

 bpp::indexWO<1> I(5,1);;
 m.clear();
 m.insert(1);
 m.insert(2);
 bpp::maskO<2> J(m,1);;

 auto vi=v2[I][C];
 size_t cnt=bpp::plane_counter<2,bpp::shape<1,1,false,void>,bpp::shape<0,0,true,void> >::count;
 auto vj=vi[J][C];
 auto shapej=vj.get_shape_object<0>();
 double *vjdata=vj.get_data();
 for (decltype(shapej)::index_iterator<double> it(shapej,vjdata);it.not_end(vjdata);it.move_one(vjdata))
  *vjdata=8888;
 blaspp<2> sq({9,9});
 auto sqi=sq[I][I];
 auto sqj=sq[J][J];

 v2.redim({0,0});
 v2.redim(2,2);
}

int main()
{
 using gt=bpp::shape_type_finder<bpp::indexW<4>, 2, 3, bpp::shapeM<1,0,true,void>, bpp::shapeM<2,0,true,void>, bpp::shape<4,0,true,void>, bpp::shape<5,0,true,void>, bpp::shape<6,0,true,void>>::glue_type;
 bool f=gt::found;
 size_t pl=gt::glue_place;
 test_shape_creator();
 bool b=bpp::indexed_is_plane<true, 0, bpp::index<3>,false >::is_plane;

 bpp::index<3> i;;
 bpp::index<4> j;;
 bpp::index<5> k;;
 bpp::index<6> l;;



 blaspp<4> tst({2,3,4,5});
 blaspp<3> b3;
 b3.redim(2,3,4);
 blaspp<2> b2({7,2});







 auto r1=b2[i];
 auto r2=r1[j];
 test3(r2);
 size_t s2=r2.size();
 auto r3=r2[k];
 auto r4=r3[l];
 auto r5=r4[1];
 auto r6=r5[2];
 auto r7=b2.reshape(2,2,3);

 size_t aw[3];
 r7.get_shape(aw);
 r7[1][1][1]=-7;
 r6=5;
# 113 "../test.cpp"
 return 0;
}