/* Generated by Cython 3.3.0 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "libraries": [
            "m"
        ],
        "name": "fontTools.misc.bezierTools",
        "sources": [
            "Lib/fontTools/misc/bezierTools.py"
        ]
    },
    "module_name": "fontTools.misc.bezierTools"
}
END: Cython Metadata */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
/* InitLimitedAPI */
#if defined(Py_LIMITED_API)
  #if !defined(CYTHON_LIMITED_API)
  #define CYTHON_LIMITED_API 1
  #endif
#elif defined(CYTHON_LIMITED_API)
  #ifdef _MSC_VER
  #pragma message ("Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.")
  #else
  #warning Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.
  #endif
#endif

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x03090000
    #error Cython requires Python 3.9+.
#elif defined(Py_LIMITED_API) && (Py_LIMITED_API & 0xFFFF0000) > (PY_VERSION_HEX & 0xFFFF0000)
    #error 'Py_LIMITED_API' can only select past Python X.Y versions, not future ones.
#else
#define __PYX_ABI_VERSION "3_3_0"
#define CYTHON_HEX_VERSION 0x030300F0
#define CYTHON_FUTURE_DIVISION 1
/* CModulePreamble */
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifdef __has_builtin
  #define __Pyx_has_cbuiltin(name) __has_builtin(name)
#else
  #define __Pyx_has_cbuiltin(name) (0)
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX
#if defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
    #if Py_LIMITED_API < 0x03090000
      #error "Cython 3.3 requires the Python Limited API version to be 3.9 or greater."
    #endif
  #endif
  #if defined(GRAALVM_PYTHON) || defined(PYPY_VERSION)
    #ifdef _MSC_VER
      #pragma message ("Py_LIMITED_API is defined on PyPy or GraalPy. This takes precedence over Cython's specialized\
        code for PyPy and GraalPy and is unlikely to work.")
    #else
      #warning "Py_LIMITED_API is defined on PyPy or GraalPy. This takes precedence over Cython's specialized\
        code for PyPy and GraalPy and is unlikely to work."
    #endif
  #endif
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_VECTORCALL
  #define CYTHON_VECTORCALL (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
  #ifndef CYTHON_VECTORCALL_TPNEW
    #define CYTHON_VECTORCALL_TPNEW (CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (__PYX_LIMITED_VERSION_HEX >= 0x030F0000 && PY_VERSION_HEX > 0x030F00A8)
  #endif
  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND (__PYX_LIMITED_VERSION_HEX >= 0x030A0000)
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #ifndef CYTHON_USE_OWN_PREP_RERAISE_STAR
    #define CYTHON_USE_OWN_PREP_RERAISE_STAR 1
  #endif
  #ifndef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 1
  #endif
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
  #if __PYX_LIMITED_VERSION_HEX < 0x030E0000
  #undef CYTHON_OPAQUE_OBJECTS
  #define CYTHON_OPAQUE_OBJECTS 0
  #elif !defined(CYTHON_OPAQUE_OBJECTS)
  #define CYTHON_OPAQUE_OBJECTS (__PYX_LIMITED_VERSION_HEX >= 0x030F0000)
  #endif
#elif defined(GRAALVM_PYTHON)
  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
     The existence of this section does not imply that anything works or is even tested */
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 1
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 0
  #endif
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #ifndef CYTHON_VECTORCALL
    #define CYTHON_VECTORCALL 1
  #endif
  #if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX < 0x030E0000
    #undef CYTHON_VECTORCALL_TPNEW
    #define CYTHON_VECTORCALL_TPNEW 0
  #elif !defined(CYTHON_VECTORCALL_TPNEW)
    #define CYTHON_VECTORCALL_TPNEW CYTHON_VECTORCALL
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_AM_SEND
  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 1
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #ifndef CYTHON_USE_OWN_PREP_RERAISE_STAR
    #define CYTHON_USE_OWN_PREP_RERAISE_STAR 1
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
  #undef CYTHON_OPAQUE_OBJECTS
  #define CYTHON_OPAQUE_OBJECTS 0
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 1
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #ifndef CYTHON_ASSUME_SAFE_SIZE
    #define CYTHON_ASSUME_SAFE_SIZE 1
  #endif
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #ifndef CYTHON_VECTORCALL
    #define CYTHON_VECTORCALL 1
  #endif
  #if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX < 0x030E0000
    #undef CYTHON_VECTORCALL_TPNEW
    #define CYTHON_VECTORCALL_TPNEW 0
  #elif !defined(CYTHON_VECTORCALL_TPNEW)
    #define CYTHON_VECTORCALL_TPNEW (PYPY_VERSION_NUM >= 0x07030800 && CYTHON_VECTORCALL)
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PYPY_VERSION_NUM >= 0x07030C00)
  #endif
  #undef CYTHON_USE_AM_SEND
  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_NUM >= 0x07031100)
  #endif
  #ifndef CYTHON_USE_OWN_PREP_RERAISE_STAR
    #define CYTHON_USE_OWN_PREP_RERAISE_STAR 1
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
  #undef CYTHON_OPAQUE_OBJECTS
  #define CYTHON_OPAQUE_OBJECTS 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #ifdef Py_GIL_DISABLED
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 1
  #else
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #endif
  #if PY_VERSION_HEX < 0x030A0000
    #undef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #elif !defined(CYTHON_USE_TYPE_SLOTS)
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #ifndef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLIST_INTERNALS)
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING || PY_VERSION_HEX >= 0x030B00A2
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1
  #elif !defined(CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS)
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_ASSUME_SAFE_SIZE
    #define CYTHON_ASSUME_SAFE_SIZE 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL 0
  #elif !defined(CYTHON_FAST_GIL)
    #define CYTHON_FAST_GIL (PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_VECTORCALL
    #define CYTHON_VECTORCALL 1
  #endif
  #if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX < 0x030E0000
    #undef CYTHON_VECTORCALL_TPNEW
    #define CYTHON_VECTORCALL_TPNEW 0
  #elif !defined(CYTHON_VECTORCALL_TPNEW)
    #define CYTHON_VECTORCALL_TPNEW CYTHON_VECTORCALL
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #ifndef CYTHON_USE_SYS_MONITORING
    #define CYTHON_USE_SYS_MONITORING (PY_VERSION_HEX >= 0x030d00B1)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS  (PY_VERSION_HEX < 0x030C00A5 && !CYTHON_USE_MODULE_STATE)
  #endif
  #ifndef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
  #ifndef CYTHON_USE_OWN_PREP_RERAISE_STAR
    #define CYTHON_USE_OWN_PREP_RERAISE_STAR (PY_VERSION_HEX < 0x030C00B2)
  #endif
  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS (!CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
  #endif
  #if defined(CYTHON_IMMORTAL_CONSTANTS) && PY_VERSION_HEX < 0x030C0000
    #undef CYTHON_IMMORTAL_CONSTANTS
    #define CYTHON_IMMORTAL_CONSTANTS 0  // definitely won't work
  #elif !defined(CYTHON_IMMORTAL_CONSTANTS)
    #define CYTHON_IMMORTAL_CONSTANTS (PY_VERSION_HEX >= 0x030C0000 && !CYTHON_USE_MODULE_STATE && CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
  #endif
  #ifndef CYTHON_OPAQUE_OBJECTS
    #define CYTHON_OPAQUE_OBJECTS 0
  #endif
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(maybe_unused)
        #define CYTHON_UNUSED [[maybe_unused]]
      #endif
    #endif
  #elif defined(__STDC_VERSION__) && __STDC_VERSION__ >= 202311L
    #define CYTHON_UNUSED [[maybe_unused]]
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
    __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600))
    #define CYTHON_USE_CPP_STD_MOVE 1
  #else
    #define CYTHON_USE_CPP_STD_MOVE 0
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#include <stdint.h>
typedef uintptr_t  __pyx_uintptr_t;
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
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  #define __Pyx_UNREACHABLE() Py_UNREACHABLE()
#elif __Pyx_has_cbuiltin(__builtin_unreachable)
  #define __Pyx_UNREACHABLE() __builtin_unreachable()
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  #define __Pyx_UNREACHABLE() __builtin_unreachable()
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#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
#define __Pyx_PyErr_FetchException(petype, peval, petb) PyErr_Fetch(petype, peval, petb)
#define __Pyx_PyErr_RestoreException(etype, eval, etb) PyErr_Restore(etype, eval, etb)
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#define __Pyx_PyErr_FetchException(petype, peval, petb) *(petype)=NULL; *(peval)=PyErr_GetRaisedException(); *(petb)=NULL
#define __Pyx_PyErr_RestoreException(etype, eval, etb) PyErr_SetRaisedException(eval)
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/* CInitCode */
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  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
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    #define CYTHON_INLINE
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/* PythonCompatibility */
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#define __Pyx_BUILTIN_MODULE_NAME "builtins"
#define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
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    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
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    #ifndef CO_VARARGS
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    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
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    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
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    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
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    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
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#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
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    #ifndef CO_ASYNC_GENERATOR
      #define CO_ASYNC_GENERATOR 0x200
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static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
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#if CYTHON_COMPILING_IN_LIMITED_API
static unsigned long __Pyx_Runtime_TPFLAGS_SEQUENCE;
static unsigned long __Pyx_Runtime_TPFLAGS_MAPPING;
#else
#define __Pyx_Runtime_TPFLAGS_SEQUENCE Py_TPFLAGS_SEQUENCE
#define __Pyx_Runtime_TPFLAGS_MAPPING Py_TPFLAGS_MAPPING
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static int __Pyx_init_tpflags_variables(void);
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 5)
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 6)
#endif
#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
#endif
#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if !defined(METH_FASTCALL) || CYTHON_COMPILING_IN_PYPY
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
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  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
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#endif
#if CYTHON_VECTORCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
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#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#define __Pyx_PyCFunction_CheckExact(func) PyCFunction_CheckExact(func)
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
#endif
#if CYTHON_COMPILING_IN_PYPY
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#endif
#if CYTHON_OPAQUE_OBJECTS && CYTHON_COMPILING_IN_LIMITED_API
    #define __PYX_SHARED_SIZEOF(T) -((int)sizeof(T))
    #define __PYX_SHARED_RELATIVE_OFFSET Py_RELATIVE_OFFSET
    #define CYTHON_OPAQUE_SHARED_TYPES 1
#else
    #define __PYX_SHARED_SIZEOF(T) sizeof(T)
    #define __PYX_SHARED_RELATIVE_OFFSET 0
    #define CYTHON_OPAQUE_SHARED_TYPES 0
#endif
#if CYTHON_USE_MODULE_STATE
static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL && PyErr_Occurred()) {
        PyErr_WriteUnraisable(NULL);
    }
    return res;
}
#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
#endif
#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_KIND_04(u)      __Pyx_PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#else
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
  static CYTHON_INLINE int __Pyx_PyUnicode_KIND_04(PyObject *o) {
      return __Pyx_PyUnicode_KIND(o) - (int) !!PyUnicode_IS_ASCII(o);
  }
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#elif CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        Py_IS_TYPE(obj, &PySet_Type)
#endif
enum __Pyx_ReferenceSharing {
  __Pyx_ReferenceSharing_DefinitelyUnique, // We created it so we know it's unshared - no need to check
  __Pyx_ReferenceSharing_OwnStrongReference,
  __Pyx_ReferenceSharing_FunctionArgument,
  __Pyx_ReferenceSharing_SharedReference, // Never trust it to be unshared because it's a global or similar
};
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX >= 0x030E0000
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing)\
    (sharing == __Pyx_ReferenceSharing_DefinitelyUnique ? 1 :\
      (sharing == __Pyx_ReferenceSharing_FunctionArgument ? PyUnstable_Object_IsUniqueReferencedTemporary(o) :\
      (sharing == __Pyx_ReferenceSharing_OwnStrongReference ? PyUnstable_Object_IsUniquelyReferenced(o) : 0)))
#elif (CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)sharing), Py_REFCNT(o) == 1)
#else
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)o), ((void)sharing), 0)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
  #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  #else
    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)
  #endif
#elif CYTHON_COMPILING_IN_LIMITED_API || !(CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE)
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
#else
  #define __Pyx_PyList_GetItemRef(o, i) (likely(__Pyx_is_valid_index(i, PyList_GET_SIZE(o))) ?\
    __Pyx_NewRef(PyList_GET_ITEM(o, i)) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
#endif
#if CYTHON_AVOID_BORROWED_REFS || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\
      __Pyx_PyList_GetItemRef(o, i))
#elif CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) (\
      __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\
      __Pyx_NewRef(PyList_GET_ITEM(o, i)) : __Pyx_PyList_GetItemRef(o, i))
  #else
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) (\
      __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\
      __Pyx_XNewRef(PyList_GetItem(o, i)) : __Pyx_PyList_GetItemRef(o, i))
  #endif
#elif CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\
      __Pyx_NewRef(PyList_GET_ITEM(o, i)))
#else
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\
      __Pyx_XNewRef(PyList_GetItem(o, i)))
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
    }
    return -1;
  }
  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
    return PyErr_Occurred() ? -1 : 0;
  }
  Py_INCREF(*result);
  return 1;
}
#endif
#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST
  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)
#else
  #define __Pyx_VISIT_CONST(obj)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)
#endif
#if CYTHON_ASSUME_SAFE_SIZE
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyDict_GET_SIZE(o) PyDict_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GET_LENGTH(o)
#else
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyDict_GET_SIZE(o) PyDict_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GetLength(o)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)
  #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
#endif
#define __Pyx_PyLong_FromHash_t PyLong_FromSsize_t
#define __Pyx_PyLong_AsHash_t   __Pyx_PyIndex_AsSsize_t
#if __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    #define __Pyx_PySendResult PySendResult
#else
    typedef enum {
        PYGEN_RETURN = 0,
        PYGEN_ERROR = -1,
        PYGEN_NEXT = 1,
    } __Pyx_PySendResult;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3
  typedef __Pyx_PySendResult (*__Pyx_pyiter_sendfunc)(PyObject *iter, PyObject *value, PyObject **result);
#else
  #define __Pyx_pyiter_sendfunc sendfunc
#endif
#if !CYTHON_USE_AM_SEND
#define __PYX_HAS_PY_AM_SEND 0
#elif __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#define __PYX_HAS_PY_AM_SEND 1
#else
#define __PYX_HAS_PY_AM_SEND 2  // our own backported implementation
#endif
#if __PYX_HAS_PY_AM_SEND < 2
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
#else
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
        __Pyx_pyiter_sendfunc am_send;
    } __Pyx_PyAsyncMethodsStruct;
    #define __Pyx_SlotTpAsAsync(s) ((PyAsyncMethods*)(s))
#endif
#if CYTHON_USE_AM_SEND && PY_VERSION_HEX < 0x030A00F0
    #define __Pyx_TPFLAGS_HAVE_AM_SEND (1UL << 21)
#else
    #define __Pyx_TPFLAGS_HAVE_AM_SEND (0)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030A0000
#ifdef __cplusplus
extern "C"
#endif
PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize);
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) {
    int value;
    PyObject *py_value = PyObject_GetAttrString(inspect, name);
    if (!py_value) return 0;
    value = (int) PyLong_AsLong(py_value);
    Py_DECREF(py_value);
    *write_to = value;
    return value != -1 || !PyErr_Occurred();
}
static int __Pyx_init_co_variables(void) {
    PyObject *inspect;
    int result;
    inspect = PyImport_ImportModule("inspect");
    result =
#if !defined(CO_OPTIMIZED)
        __Pyx_init_co_variable(inspect, "CO_OPTIMIZED", &CO_OPTIMIZED) &&
#endif
#if !defined(CO_NEWLOCALS)
        __Pyx_init_co_variable(inspect, "CO_NEWLOCALS", &CO_NEWLOCALS) &&
#endif
#if !defined(CO_VARARGS)
        __Pyx_init_co_variable(inspect, "CO_VARARGS", &CO_VARARGS) &&
#endif
#if !defined(CO_VARKEYWORDS)
        __Pyx_init_co_variable(inspect, "CO_VARKEYWORDS", &CO_VARKEYWORDS) &&
#endif
#if !defined(CO_ASYNC_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_ASYNC_GENERATOR", &CO_ASYNC_GENERATOR) &&
#endif
#if !defined(CO_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_GENERATOR", &CO_GENERATOR) &&
#endif
#if !defined(CO_COROUTINE)
        __Pyx_init_co_variable(inspect, "CO_COROUTINE", &CO_COROUTINE) &&
#endif
        1;
    Py_DECREF(inspect);
    return result ? 0 : -1;
}
static int __Pyx_init_tpflags_bitcount(unsigned long flag) {
    int count = 0;
    while (flag) {
        count += (int) (flag & 1);
        flag >>= 1;
    }
    return count;
}
static int __Pyx_init_tpflags_variables(void) {
    if (__Pyx_Runtime_TPFLAGS_SEQUENCE != 0 && __Pyx_Runtime_TPFLAGS_MAPPING != 0) {
        return 0;
    }
    PyObject *collections_abc = PyImport_ImportModule("collections.abc");
    if (!collections_abc) return -1;
    int result = 0;
    PyObject *sequence = NULL, *mapping = NULL;
#if __PYX_LIMITED_VERSION_HEX >= 0x030D0000
    if (PyObject_GetOptionalAttrString(collections_abc, "Sequence", &sequence) != 1) goto fail;
    if (PyObject_GetOptionalAttrString(collections_abc, "Mapping", &mapping) != 1) goto fail;
#else
    sequence = PyObject_GetAttrString(collections_abc, "Sequence");
    if (!sequence) goto fail_attr_lookup;
    mapping = PyObject_GetAttrString(collections_abc, "Mapping");
    if (!mapping) goto fail_attr_lookup;
#endif
    if (!PyType_Check(sequence) || !PyType_Check(mapping)) goto fail;
    {
        unsigned long sequence_flags = PyType_GetFlags((PyTypeObject*)sequence);
        unsigned long mapping_flags = PyType_GetFlags((PyTypeObject*)mapping);
        unsigned long mutual_flags = sequence_flags & mapping_flags;
        sequence_flags = sequence_flags ^ mutual_flags;
        mapping_flags = mapping_flags ^ mutual_flags;
        if (__Pyx_Runtime_TPFLAGS_SEQUENCE == 0 && __Pyx_init_tpflags_bitcount(sequence_flags) == 1) {
            __Pyx_Runtime_TPFLAGS_SEQUENCE = sequence_flags;
        }
        if (__Pyx_Runtime_TPFLAGS_MAPPING == 0 && __Pyx_init_tpflags_bitcount(mapping_flags) == 1) {
            __Pyx_Runtime_TPFLAGS_MAPPING = mapping_flags;
        }
    }
    cleanup:
    Py_XDECREF(mapping);
    Py_XDECREF(sequence);
    Py_DECREF(collections_abc);
    return result;
#if __PYX_LIMITED_VERSION_HEX < 0x030D0000
    fail_attr_lookup:
    if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Clear();
    }
#endif
    fail:
    result = PyErr_Occurred() ? -1 : 0;
    goto cleanup;
}
#else
static int __Pyx_init_co_variables(void) {
    return 0;  // It's a limited API-only feature
}
static int __Pyx_init_tpflags_variables(void) {
    return 0;  // It's a limited API-only feature
}
#endif

/* MathInitCode */
#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #ifndef _USE_MATH_DEFINES
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0
#endif
#ifndef CYTHON_CLINE_IN_TRACEBACK
#define CYTHON_CLINE_IN_TRACEBACK CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#endif
#if CYTHON_CLINE_IN_TRACEBACK
#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; __pyx_clineno = __LINE__; (void) __pyx_clineno; }
#else
#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; (void) __pyx_clineno; }
#endif
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__fontTools__misc__bezierTools
#define __PYX_HAVE_API__fontTools__misc__bezierTools
/* Early includes */
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifdef CYTHON_FREETHREADING_COMPATIBLE
#if CYTHON_FREETHREADING_COMPATIBLE
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_NOT_USED
#else
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED
#endif
#else
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED
#endif
#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyByteArray_AsString(s) PyByteArray_AS_STRING(s)
#else
    #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyByteArray_AsString(s) PyByteArray_AsString(s)
#endif
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
static CYTHON_INLINE PyObject *__Pyx_NewRef(PyObject *obj) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_NewRef)
    return Py_NewRef(obj);
#else
    Py_INCREF(obj);
    return obj;
#endif
}
static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_XNewRef)
    return Py_XNewRef(obj);
#else
    Py_XINCREF(obj);
    return obj;
#endif
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b);
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x);
#define __Pyx_PyObject_RichCompareBool(a,b,cmp)  __Pyx_PyObject_IsTrueAndDecref(PyObject_RichCompare((a),(b),(cmp)))
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __Pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AS_DOUBLE(x)
#define __Pyx_PyFloat_IsNonZero(x) (PyFloat_AS_DOUBLE(x) != 0.0)
#else
#define __Pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_IsNonZero(x) PyObject_IsTrue(x)
#endif
#define __Pyx_PyFloat_AsFloat(x) ((float) __Pyx_PyFloat_AsDouble(x))
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_SignBits(x)  ((int) (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK))
  #define __Pyx_PyLong_Sign(x)  (1 - __Pyx_PyLong_SignBits(x))
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_SignBits(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_SignBits(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_SignBits(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        (((Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
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    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
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/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_defaults;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;

/* "fontTools/misc/bezierTools.py":814
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 * 
*/
struct __pyx_defaults {
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/* "fontTools/misc/bezierTools.py":545
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":582
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":643
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
*/
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/* "fontTools/misc/bezierTools.py":769
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
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*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC {
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};


/* "fontTools/misc/bezierTools.py":1251
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_i;
};


/* "fontTools/misc/bezierTools.py":1312
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t {
  PyObject_HEAD
  PyObject *__pyx_v_precision;
};


/* "fontTools/misc/bezierTools.py":1381
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_p;
};


/* "fontTools/misc/bezierTools.py":1484
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr {
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/* FastTypeChecks.proto (used by GivenExceptionMatches) */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
#define __Pyx_PyAnySet_Check(obj)  __Pyx_TypeCheck2(obj, &PySet_Type, &PyFrozenSet_Type)
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#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#define __Pyx_PyAnySet_Check(obj)  PyAnySet_Check(obj)
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/* PyThreadStateGet.proto (used by PyErrFetchRestore) */
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#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
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#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
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/* PyErrFetchRestore.proto (used by GivenExceptionMatches) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* GivenExceptionMatches.proto (used by PyErrExceptionMatches) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
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#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
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}
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#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)

/* PyErrExceptionMatches.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
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#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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/* PyObjectGetAttrStr.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
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#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
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/* PyObjectGetAttrStrNoError.proto (used by GetBuiltinName) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

/* CopyObjectArray.proto (used by TupleOrListFromArrayImpl) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length);
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/* TupleOrListFromArrayImpl.proto (used by TupleFromArray) */
#if PY_VERSION_HEX >= 0x030F0000 && !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyTuple_FromArray(src, n) PyTuple_FromArray(src, ((n)<0) ? 0 : (n))
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CYTHON_UNUSED static PyObject *
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/* TupleFromArray.proto (used by fastcall) */


/* IncludeStringH.proto (used by PyObjectCompare) */
#include <string.h>

/* PyObjectCompare.proto (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_str_str(PyObject *op1, PyObject *op2, int pyop);

/* UnicodeEquals.proto (used by fastcall) */
#define __Pyx_PyUnicode_Equals(s1, s2)  __Pyx_PyObject_CompareBoolEq_str_str(s1, s2, Py_EQ)

/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_PySequence_ITEM(args, i)
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    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i))
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    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_XNewRef(PyTuple_GetItem(args, i))
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#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_VECTORCALL
    #define __Pyx_ArgRef_FASTCALL(args, i) __Pyx_NewRef(args[i])
    #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
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    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
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    #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
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    #define __Pyx_ArgRef_FASTCALL_TPNEW __Pyx_ArgRef_FASTCALL
    #define __Pyx_NumKwargs_FASTCALL_TPNEW __Pyx_NumKwargs_FASTCALL
    #define __Pyx_KwValues_FASTCALL_TPNEW __Pyx_KwValues_FASTCALL
    #define __Pyx_GetKwValue_FASTCALL_TPNEW __Pyx_GetKwValue_FASTCALL
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    #define __Pyx_NumKwargs_FASTCALL_TPNEW __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL_TPNEW __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL_TPNEW __Pyx_GetKwValue_VARARGS
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#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
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#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(args + start, stop - start)
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#define __Pyx_ArgsSlice_FASTCALL __Pyx_ArgsSlice_VARARGS
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/* py_dict_items.proto (used by OwnedDictNext) */
#define __Pyx_PyDict_items_TypePtr  (&PyDictKeys_Type)
#define __Pyx_PyDict_items_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyDictItems_TypePtr)
#define __Pyx_PyDict_items_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyDictItems_TypePtr)
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);

/* CallCFunction.proto (used by CallUnboundCMethod0) */
#define __Pyx_CallCFunction(cfunc, self, args)\
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#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
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#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
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/* PyObjectCall.proto (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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/* PyObjectCallMethO.proto (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto (used by PyObjectCallOneArg) */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject * const*args, size_t nargsf, PyObject *kwargs);

/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* UnpackUnboundCMethod_decl.proto (used by UnpackUnboundCMethod) */
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#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
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/* IgnoreException.proto (used by UnpackUnboundCMethod_impl) */
static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception);
#define __Pyx_IgnoreException(ignorable_exception) __Pyx_IgnoreGivenException(NULL, ignorable_exception)

/* UnpackUnboundCMethod_impl.export */
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target);

/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
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static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
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#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
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/* CallUnboundCMethod0.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
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#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
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/* py_dict_values.proto (used by OwnedDictNext) */
#define __Pyx_PyDict_values_TypePtr  (&PyDictKeys_Type)
#define __Pyx_PyDict_values_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyDictValues_TypePtr)
#define __Pyx_PyDict_values_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyDictValues_TypePtr)
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d);

/* OwnedDictNext.proto (used by ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue);
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CYTHON_INLINE
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue);
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/* RaiseDoubleKeywords.proto (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywordsImpl.export */
static int __Pyx_ParseKeywordsTuple(
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    const char* function_name,
    int ignore_unknown_kwargs
);
static int __Pyx_ParseKeywordDictToDict(
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    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name
);
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* CallUnboundCMethod2.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
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/* ParseKeywords.proto */
static CYTHON_INLINE int __Pyx_ParseKeywords(
    PyObject *kwds, PyObject *const *kwvalues, PyObject ** const argnames[],
    PyObject *kwds2, PyObject *values[],
    Py_ssize_t num_pos_args, Py_ssize_t num_kwargs,
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    int ignore_unknown_kwargs
);

/* RaiseArgTupleInvalid.export */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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/* PyDictVersioning.proto (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
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    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
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static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2))
#endif

/* FormatTypeName.proto (used by RaiseErrorWithObjectTypes) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030d0000
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%N"
#define __Pyx_PyType_GetFullyQualifiedName(tp) Py_NewRef((PyObject*)tp)
#define __Pyx_DECREF_TypeName(obj) Py_DECREF(obj)
#elif CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#else  // !LIMITED_API
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

/* RaiseErrorWithObjectTypes.proto (used by PyNumberBinop) */
#define __Pyx_RaiseErrorWithObjectTypes1(exc_type, message, arg, obj1, obj2) __Pyx_RaiseErrorWithTypes1(exc_type, message, arg, Py_TYPE(obj1), Py_TYPE(obj2))
#define __Pyx_RaiseTypeErrorWithObjectTypes(message, obj1, obj2) __Pyx_RaiseTypeErrorWithTypes(message, Py_TYPE(obj1), Py_TYPE(obj2))
#define __Pyx_RaiseTypeErrorWithTypes(message, type_obj1, type_obj2) __Pyx_RaiseErrorWithTypes1(PyExc_TypeError, "%.1s" message, "", type_obj1, type_obj2)
CYTHON_UNUSED
static void __Pyx_RaiseErrorWithTypes1(PyObject* exc_type, const char *message, const char *arg, PyTypeObject *type_obj1, PyTypeObject *type_obj2);

/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Add_object_object(op1, op2)  PyNumber_Add(op1, op2)
#define __Pyx_PyNumber_InPlaceAdd_object_object(op1, op2)  PyNumber_InPlaceAdd(op1, op2)
#else
#define __Pyx_PyNumber_Add_object_object(op1, op2)  __Pyx__PyNumber_Add_object_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceAdd_object_object(op1, op2)  __Pyx__PyNumber_Add_object_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_object_object(PyObject *op1, PyObject *op2, int inplace);
#endif

/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_object_float(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_object_float(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_object_float(op1, op2)  __Pyx__PyNumber_Multiply_object_float(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_object_float(op1, op2)  __Pyx__PyNumber_Multiply_object_float(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_float(PyObject *op1, PyObject *op2, int inplace);
#endif

/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Subtract_object_object(op1, op2)  PyNumber_Subtract(op1, op2)
#define __Pyx_PyNumber_InPlaceSubtract_object_object(op1, op2)  PyNumber_InPlaceSubtract(op1, op2)
#else
#define __Pyx_PyNumber_Subtract_object_object(op1, op2)  __Pyx__PyNumber_Subtract_object_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceSubtract_object_object(op1, op2)  __Pyx__PyNumber_Subtract_object_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Subtract_object_object(PyObject *op1, PyObject *op2, int inplace);
#endif

/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Add_float_object(op1, op2)  PyNumber_Add(op1, op2)
#define __Pyx_PyNumber_InPlaceAdd_float_object(op1, op2)  PyNumber_InPlaceAdd(op1, op2)
#else
#define __Pyx_PyNumber_Add_float_object(op1, op2)  __Pyx__PyNumber_Add_float_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceAdd_float_object(op1, op2)  __Pyx__PyNumber_Add_float_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_float_object(PyObject *op1, PyObject *op2, int inplace);
#endif

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolGe_object_float(PyObject *op1, PyObject *op2, int pyop);

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_TrueDivideObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_float_object(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_float_object(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_float_object(op1, op2)  __Pyx__PyNumber_Multiply_float_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_float_object(op1, op2)  __Pyx__PyNumber_Multiply_float_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_float_object(PyObject *op1, PyObject *op2, int inplace);
#endif

/* IncludeStdlibH.proto */
#include <stdlib.h>

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLt_float_object(PyObject *op1, PyObject *op2, int pyop);

/* PyLongCompare.proto */
static CYTHON_INLINE int __Pyx_PyLong_BoolNeObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x);
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_int_object(PyObject *op1, PyObject *op2, int pyop);

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLt_object_int(PyObject *op1, PyObject *op2, int pyop);

/* ListCompAppendAndDecref.proto */
static CYTHON_INLINE int __Pyx_ListComp_AppendAndDecref(PyObject* list, PyObject* x);

/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_object_object(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_object_object(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_object_object(op1, op2)  __Pyx__PyNumber_Multiply_object_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_object_object(op1, op2)  __Pyx__PyNumber_Multiply_object_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_object(PyObject *op1, PyObject *op2, int inplace);
#endif

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x);
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* PyFrozenDict.proto (used by GetItemInt) */
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyFrozenDict_TypePtr  ((PyTypeObject*) __pyx_mstate_global->__Pyx_PyFrozenDictType)
#define __Pyx_PyFrozenDict_New(it)  __Pyx__PyFrozenDict_New(__pyx_mstate_global->__Pyx_PyFrozenDictType, it)
static CYTHON_INLINE PyObject* __Pyx__PyFrozenDict_New(PyObject* frozendict_type, PyObject* it);
#define __Pyx_PyFrozenDict_NewEmpty()  __Pyx_PyFrozenDict_New(NULL)
#define __Pyx_PyFrozenDict_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyFrozenDict_TypePtr)
#define __Pyx_PyFrozenDict_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyFrozenDict_TypePtr)
#define __Pyx_PyAnyDict_Check(obj)   __Pyx__PyAnyDict_Check(obj, __Pyx_PyFrozenDict_TypePtr)
static CYTHON_INLINE int __Pyx__PyAnyDict_Check(PyObject *obj, PyTypeObject* frozendict_type) {
    return PyObject_TypeCheck(obj, &PyDict_Type) || PyObject_TypeCheck(obj, frozendict_type);
}
#define __Pyx_PyAnyDict_CheckExact(obj)  __Pyx__PyAnyDict_CheckExact(obj, __Pyx_PyFrozenDict_TypePtr)
static CYTHON_INLINE int __Pyx__PyAnyDict_CheckExact(PyObject *obj, PyTypeObject* frozendict_type) {
    return Py_IS_TYPE(obj, &PyDict_Type) || Py_IS_TYPE(obj, frozendict_type);
}
#elif PY_VERSION_HEX >= 0x030f00a6 ||\
    (defined(PyFrozenDict_Check) && defined(PyAnyDict_Check) && defined(PyFrozenDict_New))
#define __Pyx_PyFrozenDict_TypePtr  (&PyFrozenDict_Type)
#define __Pyx_PyFrozenDict_New(it)  PyFrozenDict_New(it)
#define __Pyx_PyFrozenDict_NewEmpty()  PyFrozenDict_New(NULL)
#define __Pyx_PyFrozenDict_Check(obj)  PyFrozenDict_Check(obj)
#define __Pyx_PyFrozenDict_CheckExact(obj)  PyFrozenDict_CheckExact(obj)
#define __Pyx_PyAnyDict_Check(obj)  PyAnyDict_Check(obj)
#define __Pyx_PyAnyDict_CheckExact(obj)  PyAnyDict_CheckExact(obj)
#else
#define __Pyx_PyFrozenDict_TypePtr  (&PyDict_Type)
static CYTHON_INLINE PyObject* __Pyx_PyFrozenDict_New(PyObject* it) {
    if (!it) {
        return PyDict_New();
    } else if (PyDict_Check(it)) {
        return PyDict_Copy(it);
    } else {
        PyObject *dict = PyDict_New();
        if (!dict) return NULL;
        PyObject *result = PyNumber_InPlaceOr(dict, it);
        Py_DECREF(dict);
        return result;
    }
}
#define __Pyx_PyFrozenDict_NewEmpty()  PyDict_New()
#define __Pyx_PyFrozenDict_Check(obj)  PyDict_Check(obj)
#define __Pyx_PyFrozenDict_CheckExact(obj)  PyDict_CheckExact(obj)
#define __Pyx_PyAnyDict_Check(obj)  PyDict_Check(obj)
#define __Pyx_PyAnyDict_CheckExact(obj)  PyDict_CheckExact(obj)
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    __Pyx_GetItemInt_Generic(o, to_py_func(i)))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int wraparound, int boundscheck, int unsafe_shared);

/* RaiseErrorWithObjectType.proto (used by ObjectGetItem) */
#define __Pyx_RaiseTypeErrorWithObjectType(message, obj)  __Pyx_RaiseErrorWithObjectType(PyExc_TypeError, message, obj)
#define __Pyx_RaiseErrorWithObjectType(exc_type, message, obj)  __Pyx_RaiseErrorWithType(exc_type, message, Py_TYPE(obj))
CYTHON_UNUSED
static void __Pyx_RaiseErrorWithType(PyObject* exc_type, const char* message, PyTypeObject *type_obj);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* PyLongCompare.proto */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* RaiseUnboundLocalError.proto */
static void __Pyx_RaiseUnboundLocalError(const char *varname);

/* GetException.proto (used by pep479) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* pep479.proto */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen);

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* ListExtend.proto */
#if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030d0000) && !defined(PyList_Extend)
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v);
#else
#define __Pyx_PyList_Extend(L, v)  PyList_Extend(L, v)
#endif

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, wraparound, boundscheck, unsafe_shared) :\
    __Pyx_SetItemInt_Generic(o, to_py_func(i), v))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int wraparound, int boundscheck, int unsafe_shared);

/* dict_setdefault.proto (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value);

/* AddModuleRef.proto (used by FetchSharedCythonModule) */
#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3) ||\
     __PYX_LIMITED_VERSION_HEX < 0x030d0000)
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name);
#else
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#endif

/* FetchSharedCythonModule.proto (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* VerifyCachedType.proto (used by FetchCommonType) */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize);

/* FetchCommonType.proto (used by CommonTypesMetaclass) */
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);

/* CommonTypesMetaclass.proto (used by CoroutineBase) */
static int __pyx_CommonTypesMetaclass_init(PyObject *module);
#define __Pyx_CommonTypesMetaclass_USED

/* RaiseException.export */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* GetTopmostException.proto (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* SwapException.proto (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* CallTypeTraverse.proto (used by CoroutineBase) */
#if !CYTHON_USE_TYPE_SPECS
#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);
#endif

/* IterNextPlain.proto (used by CoroutineBase) */
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void);
#endif

/* PyObjectCallMethod1.proto (used by CoroutineBase) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* PyObjectCallNoArg.proto (used by CoroutineBase) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* ReturnWithStopIteration.proto (used by CoroutineBase) */
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext);

/* CoroutineBase.proto (used by Generator) */
struct __pyx_CoroutineObject;
typedef PyObject *(*__pyx_coroutine_body_t)(struct __pyx_CoroutineObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct __pyx_CoroutineObject {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *gi_weakreflist;
#endif
    PyObject *classobj;
    PyObject *yieldfrom;
    __Pyx_pyiter_sendfunc yieldfrom_am_send;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
#if CYTHON_USE_SYS_MONITORING && (CYTHON_PROFILE || CYTHON_TRACE)
    PyMonitoringState __pyx_pymonitoring_state[__Pyx_MonitoringEventTypes_CyGen_count];
    uint64_t __pyx_pymonitoring_version;
#endif
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static __Pyx_PySendResult __Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static __Pyx_PySendResult __Pyx_Coroutine_Close(PyObject *self, PyObject **retval);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen,
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    PyObject *args
#else
    PyObject *const *args, Py_ssize_t nargs
#endif
    );
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen);
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen);
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen);
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure);
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send);
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg);

/* Generator.proto (used by GeneratorYieldFrom) */
#define __Pyx_Generator_USED
#define __Pyx_Generator_CheckExact(obj) Py_IS_TYPE(obj, __pyx_mstate_global->__pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_mstate_global->__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(PyObject *module);
static CYTHON_INLINE PyObject *__Pyx_Generator_GetInlinedResult(PyObject *self);

/* GeneratorYieldFrom.proto */
static CYTHON_INLINE __Pyx_PySendResult __Pyx_Generator_Yield_From(__pyx_CoroutineObject *gen, PyObject *source, PyObject **retval);

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

/* PyRange_Check.proto */
#if CYTHON_COMPILING_IN_PYPY && !defined(PyRange_Check)
  #define PyRange_Check(obj)  __Pyx_TypeCheck((obj), &PyRange_Type)
#endif

/* pybuiltin_invalid.export */
static void __Pyx_PyBuiltin_Invalid(PyObject *obj, const char *builtin_type_name, const char *argname);

/* pyint_simplify.proto */
static CYTHON_INLINE int __Pyx_PyInt_FromNumber(PyObject **number_var, const char *argname, int accept_none);

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* py_abs.proto */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *num);
#define __Pyx_PyNumber_Absolute(x)\
    ((likely(PyLong_CheckExact(x))) ?\
         (likely(__Pyx_PyLong_IsNonNeg(x)) ? __Pyx_NewRef(x) : __Pyx_PyLong_AbsNeg(x)) :\
         PyNumber_Absolute(x))
#else
#define __Pyx_PyNumber_Absolute(x)  PyNumber_Absolute(x)
#endif

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLt_object_object(PyObject *op1, PyObject *op2, int pyop);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* pybytes_as_double.proto (used by pynumber_float) */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj);
static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length);
static CYTHON_INLINE double __Pyx_PyBytes_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(obj);
    size = PyBytes_GET_SIZE(obj);
#else
    if (PyBytes_AsStringAndSize(obj, &as_c_string, &size) < 0) {
        return (double)-1;
    }
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
static CYTHON_INLINE double __Pyx_PyByteArray_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyByteArray_AS_STRING(obj);
    size = PyByteArray_GET_SIZE(obj);
#else
    as_c_string = PyByteArray_AsString(obj);
    if (as_c_string == NULL) {
        return (double)-1;
    }
    size = PyByteArray_Size(obj);
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}

/* pyunicode_as_double.proto (used by pynumber_float) */
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
static const char* __Pyx__PyUnicode_AsDouble_Copy(const void* data, const int kind, char* buffer, Py_ssize_t start, Py_ssize_t end) {
    int last_was_punctuation;
    Py_ssize_t i;
    last_was_punctuation = 1;
    for (i=start; i <= end; i++) {
        Py_UCS4 chr = PyUnicode_READ(kind, data, i);
        int is_punctuation = (chr == '_') | (chr == '.');
        *buffer = (char)chr;
        buffer += (chr != '_');
        if (unlikely(chr > 127)) goto parse_failure;
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyUnicode_AsDouble_inf_nan(const void* data, int kind, Py_ssize_t start, Py_ssize_t length) {
    int matches = 1;
    Py_UCS4 chr;
    Py_UCS4 sign = PyUnicode_READ(kind, data, start);
    int is_signed = (sign == '-') | (sign == '+');
    start += is_signed;
    length -= is_signed;
    switch (PyUnicode_READ(kind, data, start)) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'a') | (chr == 'A');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'n') | (chr == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'f') | (chr == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+3);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+4);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+5);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+6);
            matches &= (chr == 't') | (chr == 'T');
            chr = PyUnicode_READ(kind, data, start+7);
            matches &= (chr == 'y') | (chr == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static double __Pyx_PyUnicode_AsDouble_WithSpaces(PyObject *obj) {
    double value;
    const char *last;
    char *end;
    int valid_parse;
    Py_ssize_t start, length = PyUnicode_GET_LENGTH(obj);
    const int kind = PyUnicode_KIND(obj);
    const void* data = PyUnicode_DATA(obj);
    start = 0;
    while (Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, start)))
        start++;
    while (start < length - 1 && Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, length - 1)))
        length--;
    length -= start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyUnicode_AsDouble_inf_nan(data, kind, start, length);
    if (value != 0.0) {
        if (unlikely(value == -1.0)) goto fallback;
        return value;
    }
    if (length < 40) {
        char number[40];
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
    } else {
        char *number = (char*) PyMem_Malloc(((size_t) length + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
        PyMem_Free(number);
    }
    if (likely(valid_parse) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
#endif
static CYTHON_INLINE double __Pyx_PyUnicode_AsDouble(PyObject *obj) {
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(__Pyx_PyUnicode_READY(obj) == -1))
        return (double)-1;
    if (likely(PyUnicode_IS_ASCII(obj))) {
        const char *s;
        Py_ssize_t length;
        s = PyUnicode_AsUTF8AndSize(obj, &length);
        return __Pyx__PyBytes_AsDouble(obj, s, length);
    }
    return __Pyx_PyUnicode_AsDouble_WithSpaces(obj);
#else
    return __Pyx_SlowPyString_AsDouble(obj);
#endif
}

/* pynumber_float.proto */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj);
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : __Pyx__PyNumber_Float(x))

/* pyfloat_simplify.proto */
static CYTHON_INLINE int __Pyx_PyFloat_FromNumber(PyObject **number_var, const char *argname, int accept_none);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static int __Pyx_PyFloat_BoolEqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_BoolEqObjC(op1, op2, floatval, inplace, zerodivision_check)\
    PyObject_RichCompareBool(op1, op2, Py_EQ)
    #endif

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_object_object(PyObject *op1, PyObject *op2, int pyop);

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolGt_float_object(PyObject *op1, PyObject *op2, int pyop);

/* pow2.proto */
#define __Pyx_PyNumber_Power2(a, b) PyNumber_Power(a, b, Py_None)

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* PyValueError_Check.proto */
#define __Pyx_PyExc_ValueError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ValueError)

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolGt_object_object(PyObject *op1, PyObject *op2, int pyop);

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_object_float(PyObject *op1, PyObject *op2, int pyop);

/* PyObjectVectorcallKwds.proto */
#if CYTHON_VECTORCALL
#define __Pyx_Object_VectorcallKwds PyObject_Vectorcall
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject *kwnames, Py_ssize_t i);
#else
#define __Pyx_Object_VectorcallKwds __Pyx_PyObject_FastCallDict
CYTHON_UNUSED static PyObject *__Pyx_MakeKwargDict(PyObject **keys, PyObject **values, Py_ssize_t n);
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject **kwnames, Py_ssize_t i);
#endif

/* PyObjectFastCallMethod.proto */
#if CYTHON_VECTORCALL
#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL)
#else
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf);
#endif

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_float_object(PyObject *op1, PyObject *op2, int pyop);

/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_object_int(PyObject *op1, PyObject *op2, int pyop);

/* RaiseClosureNameError.proto */
static void __Pyx_RaiseClosureNameError(const char *varname);

/* CythonFunctionPerModule.proto (used by CythonFunctionShared) */
#define __Pyx_CyFunction_USED
#if CYTHON_OPAQUE_SHARED_TYPES
#define __Pyx_as_CyFunctionObject(o) ((__pyx_CyFunctionObject *)PyObject_GetTypeData((o), __pyx_mstate_global->__pyx_CyFunctionType))
#else
#define __Pyx_as_CyFunctionObject(o) ((__pyx_CyFunctionObject *)o)
#endif
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
    ((__Pyx_as_CyFunctionObject(f))->func_closure)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx__CyFunction_GetClassObj(f)\
      ((f)->func_classobj)
#else
  #define __Pyx__CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_GetClassObj(f)\
    __Pyx__CyFunction_GetClassObj(__Pyx_as_CyFunctionObject(f))
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj(__Pyx_as_CyFunctionObject(f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)((__Pyx_as_CyFunctionObject(f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    (__Pyx_as_CyFunctionObject(f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
#if !CYTHON_OPAQUE_OBJECTS
    PyObject_HEAD
#endif
    PyMethodDef *func_methoddef;
    PyObject *func_module;
#else
    PyCMethodObject func;
#endif
#if (CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY) && CYTHON_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_dict;
#endif
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    PyObject *defaults;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    PyObject *func_is_coroutine;
#endif
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  Py_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,
                                                         PyTypeObject *defaults_type);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(PyObject *module);
#if CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
#define __Pyx_CyFunction_func_vectorcall(f) ((f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

/* PyMethodNew.proto (used by CythonFunctionShared) */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);

/* PyVectorcallFastCallDict.proto (used by CythonFunctionShared) */
#if CYTHON_VECTORCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#endif

/* CythonFunctionShared.proto (used by CythonFunction) */
static PyObject *__Pyx_CyFunction_Init(PyObject *op_in, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
#if CYTHON_VECTORCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#endif

/* CythonFunction.export */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static PyTypeObject *__Pyx_Get_CyFunction_Type(void);

/* pyfrozenset_new.proto (used by PySetContains) */
static PyObject* __Pyx_PyFrozenSet_New(PyObject* it);

/* PySetContains.proto */
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq);

/* PyTypeError_Check.proto */
#define __Pyx_PyExc_TypeError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_TypeError)

/* AllocateExtensionType.proto */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final);

/* CallSlotAsVectorcall.proto */
#if CYTHON_VECTORCALL_TPNEW
typedef PyObject * (*__Pyx_tpnewvectorcallfunc)(PyTypeObject* o, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames);
static PyObject * __Pyx_CallTpnewAsVectorcall(__Pyx_tpnewvectorcallfunc f, PyTypeObject* o, PyObject *a, PyObject *k);
#endif

/* CallNewInitFromVectorcall.proto */
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__Pyx_CallNewInitFromVectorcall(PyTypeObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#endif

/* CheckTypeForFreelists.proto */
#if CYTHON_USE_FREELISTS
#if CYTHON_USE_TYPE_SPECS
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t) == (expected_tp)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  Py_TPFLAGS_IS_ABSTRACT
#else
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t)->tp_basicsize == (expected_size)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  (Py_TPFLAGS_IS_ABSTRACT | Py_TPFLAGS_HEAPTYPE)
#endif
#define __PYX_CHECK_TYPE_FOR_FREELISTS(t, expected_tp, expected_size)\
    (__PYX_CHECK_FINAL_TYPE_FOR_FREELISTS((t), (expected_tp), (expected_size)) &\
     (int) (!__Pyx_PyType_HasFeature((t), __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS)))
#endif

/* PyObjectCallMethod0.proto (used by PyType_Ready) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* GetTypeDictOffset.proto (used by ValidateBasesTuple) */
#if !CYTHON_USE_TYPE_SLOTS
CYTHON_UNUSED static Py_ssize_t __Pyx_GetTypeDictOffset(PyObject *tp, int require_cython_valid_result);
#endif

/* RaiseErrorWithObjectType1.proto (used by ValidateBasesTuple) */
#define __Pyx_RaiseTypeErrorWithObjectType1(message, arg, obj) __Pyx_RaiseErrorWithObjectType1(PyExc_TypeError, message, arg, obj)
#define __Pyx_RaiseErrorWithObjectType1(exc_type, message, arg, obj) __Pyx_RaiseErrorWithType1(exc_type, message, arg, Py_TYPE(obj))
CYTHON_UNUSED
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/* Module declarations from "cython" */

/* Module declarations from "fontTools.misc.bezierTools" */
static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(double); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "fontTools.misc.bezierTools"
extern int __pyx_module_is_main_fontTools__misc__bezierTools;
int __pyx_module_is_main_fontTools__misc__bezierTools = 0;

/* Implementation of "fontTools.misc.bezierTools" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_print;
/* #### Code section: string_decls ### */
static const char __pyx_k_fontTools_misc_bezierTools_py_to[] = "fontTools.misc.bezierTools.py -- tools for working with Bezier path segments.";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p0, PyObject *__pyx_v_p1, PyObject *__pyx_v_p2, PyObject *__pyx_v_p3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_mult, __pyx_t_double_complex __pyx_v_p0, __pyx_t_double_complex __pyx_v_p1, __pyx_t_double_complex __pyx_v_p2, __pyx_t_double_complex __pyx_v_p3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_sqrt); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s, PyObject *__pyx_v_e, PyObject *__pyx_v_pt); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_origin); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_e1, PyObject *__pyx_v_s2, PyObject *__pyx_v_e2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_r); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda3(PyObject *__pyx_self, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2, PyObject *__pyx_v_precision, PyObject *__pyx_v_range1, PyObject *__pyx_v_range2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segments); /* proto */
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_defaults(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
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    PyObject *a, PyObject *k
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); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_defaults(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
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    PyObject *a, PyObject *k
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); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_defaults(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_defaults __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_defaults
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#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_defaults(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
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static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
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); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr
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#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
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static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
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); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
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); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr __pyx_tp_new_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
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/* #### Code section: late_includes ### */
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    PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
    PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
    PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
    PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
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    PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
    PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
    PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
    PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
    PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
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PyObject *__Pyx_PyFrozenDictType;
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PyTypeObject *__pyx_CommonTypesMetaclassType;

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PyObject *__Pyx_GetBuiltinNext_LimitedAPI_cache;
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PyTypeObject *__pyx_GeneratorType;

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PyObject *__Pyx_CachedMethodType;
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/* CythonFunctionPerModule.module_state_decls */
PyTypeObject *__pyx_CyFunctionType;


#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
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#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
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#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
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#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
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#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
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#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
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static struct PyModuleDef __pyx_moduledef;
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#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef)))

#define __pyx_m (__Pyx_State_FindModule(&__pyx_moduledef))
#else
static __pyx_mstatetype __pyx_mstate_global_static =
#ifdef __cplusplus
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#else
    {0};
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static __pyx_mstatetype * const __pyx_mstate_global = &__pyx_mstate_global_static;
#endif
/* #### Code section: constant_name_defines ### */
#define __pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2 __pyx_string_tab[0]
#define __pyx_kp_u_g __pyx_string_tab[1]
#define __pyx_kp_u_s_2 __pyx_string_tab[2]
#define __pyx_kp_u__2 __pyx_string_tab[3]
#define __pyx_kp_u__3 __pyx_string_tab[4]
#define __pyx_kp_u_ __pyx_string_tab[5]
#define __pyx_kp_u_Approximates_the_arc_length_for __pyx_string_tab[6]
#define __pyx_kp_u_Calculates_the_arc_length_for_a __pyx_string_tab[7]
#define __pyx_kp_u_Calculates_the_bounding_rectangl_2 __pyx_string_tab[8]
#define __pyx_kp_u_Calculates_the_bounding_rectangl __pyx_string_tab[9]
#define __pyx_kp_u_Couldn_t_work_out_which_intersec __pyx_string_tab[10]
#define __pyx_kp_u_Finds_intersections_between_a_cu_2 __pyx_string_tab[11]
#define __pyx_kp_u_Finds_intersections_between_a_cu __pyx_string_tab[12]
#define __pyx_kp_u_Finds_intersections_between_two __pyx_string_tab[13]
#define __pyx_kp_u_Finds_intersections_between_two_2 __pyx_string_tab[14]
#define __pyx_kp_u_Lib_fontTools_misc_bezierTools_p __pyx_string_tab[15]
#define __pyx_kp_u_Solve_a_cubic_equation_Solves_a __pyx_string_tab[16]
#define __pyx_kp_u_Split_a_cubic_Bezier_curve_at_a __pyx_string_tab[17]
#define __pyx_kp_u_Split_a_cubic_Bezier_curve_at_on __pyx_string_tab[18]
#define __pyx_kp_u_Split_a_line_at_a_given_coordina __pyx_string_tab[19]
#define __pyx_kp_u_Split_a_quadratic_Bezier_curve_a __pyx_string_tab[20]
#define __pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2 __pyx_string_tab[21]
#define __pyx_kp_u_Unknown_curve_degree __pyx_string_tab[22]
#define __pyx_kp_u_segmentrepr_line_1474 __pyx_string_tab[23]
#define __pyx_kp_u_approximateCubicArcLength_line_3 __pyx_string_tab[24]
#define __pyx_kp_u_calcCubicBounds_line_411 __pyx_string_tab[25]
#define __pyx_kp_u_calcQuadraticArcLength_line_150 __pyx_string_tab[26]
#define __pyx_kp_u_calcQuadraticBounds_line_297 __pyx_string_tab[27]
#define __pyx_kp_u_curveCurveIntersections_line_138 __pyx_string_tab[28]
#define __pyx_kp_u_curveLineIntersections_line_1254 __pyx_string_tab[29]
#define __pyx_kp_u_disable __pyx_string_tab[30]
#define __pyx_kp_u_enable __pyx_string_tab[31]
#define __pyx_kp_u_gc __pyx_string_tab[32]
#define __pyx_kp_u_isenabled __pyx_string_tab[33]
#define __pyx_kp_u_lineLineIntersections_line_1153 __pyx_string_tab[34]
#define __pyx_kp_u_segmentSegmentIntersections_line __pyx_string_tab[35]
#define __pyx_kp_u_solveCubic_line_847 __pyx_string_tab[36]
#define __pyx_kp_u_splitCubic_line_551 __pyx_string_tab[37]
#define __pyx_kp_u_splitCubicAtT_line_612 __pyx_string_tab[38]
#define __pyx_kp_u_splitLine_line_449 __pyx_string_tab[39]
#define __pyx_kp_u_splitQuadratic_line_506 __pyx_string_tab[40]
#define __pyx_kp_u_splitQuadraticAtT_line_588 __pyx_string_tab[41]
#define __pyx_n_u_lambda __pyx_string_tab[42]
#define __pyx_n_u_COMPILED __pyx_string_tab[43]
#define __pyx_n_u_DD __pyx_string_tab[44]
#define __pyx_n_u_EPSILON __pyx_string_tab[45]
#define __pyx_n_u_Identity __pyx_string_tab[46]
#define __pyx_n_u_Intersection __pyx_string_tab[47]
#define __pyx_n_u_Len __pyx_string_tab[48]
#define __pyx_n_u_Q __pyx_string_tab[49]
#define __pyx_n_u_Q3 __pyx_string_tab[50]
#define __pyx_n_u_R __pyx_string_tab[51]
#define __pyx_n_u_R2 __pyx_string_tab[52]
#define __pyx_n_u_R2_Q3 __pyx_string_tab[53]
#define __pyx_n_u__6 __pyx_string_tab[54]
#define __pyx_n_u_1_t __pyx_string_tab[55]
#define __pyx_n_u_1_t_2 __pyx_string_tab[56]
#define __pyx_n_u_2_t_1_t __pyx_string_tab[57]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[58]
#define __pyx_n_u_all __pyx_string_tab[59]
#define __pyx_n_u_annotate __pyx_string_tab[60]
#define __pyx_n_u_class_getitem __pyx_string_tab[61]
#define __pyx_n_u_func __pyx_string_tab[62]
#define __pyx_n_u_main __pyx_string_tab[63]
#define __pyx_n_u_module __pyx_string_tab[64]
#define __pyx_n_u_name __pyx_string_tab[65]
#define __pyx_n_u_qualname __pyx_string_tab[66]
#define __pyx_n_u_test __pyx_string_tab[67]
#define __pyx_n_u_alignment_transformation __pyx_string_tab[68]
#define __pyx_n_u_both_points_are_on_same_side_of __pyx_string_tab[69]
#define __pyx_n_u_calcCubicArcLengthCRecurse __pyx_string_tab[70]
#define __pyx_n_u_curve_bounds __pyx_string_tab[71]
#define __pyx_n_u_curve_curve_intersections_t __pyx_string_tab[72]
#define __pyx_n_u_curve_curve_intersections_t_loc_2 __pyx_string_tab[73]
#define __pyx_n_u_curve_curve_intersections_t_loc __pyx_string_tab[74]
#define __pyx_n_u_curve_line_intersections_t __pyx_string_tab[75]
#define __pyx_n_u_curve_line_intersections_t_loca __pyx_string_tab[76]
#define __pyx_n_u_is_coroutine __pyx_string_tab[77]
#define __pyx_n_u_is_linelike __pyx_string_tab[78]
#define __pyx_n_u_is_linelike_locals_genexpr __pyx_string_tab[79]
#define __pyx_n_u_line_t_of_pt __pyx_string_tab[80]
#define __pyx_n_u_segmentrepr __pyx_string_tab[81]
#define __pyx_n_u_segmentrepr_locals_genexpr __pyx_string_tab[82]
#define __pyx_n_u_splitCubicAtT __pyx_string_tab[83]
#define __pyx_n_u_splitCubicAtTC_2 __pyx_string_tab[84]
#define __pyx_n_u_splitQuadraticAtT __pyx_string_tab[85]
#define __pyx_n_u_split_cubic_into_two __pyx_string_tab[86]
#define __pyx_n_u_split_segment_at_t __pyx_string_tab[87]
#define __pyx_n_u_a __pyx_string_tab[88]
#define __pyx_n_u_a1 __pyx_string_tab[89]
#define __pyx_n_u_a1_3 __pyx_string_tab[90]
#define __pyx_n_u_a1x __pyx_string_tab[91]
#define __pyx_n_u_a1y __pyx_string_tab[92]
#define __pyx_n_u_a2 __pyx_string_tab[93]
#define __pyx_n_u_a3 __pyx_string_tab[94]
#define __pyx_n_u_acos __pyx_string_tab[95]
#define __pyx_n_u_aligned_curve __pyx_string_tab[96]
#define __pyx_n_u_angle __pyx_string_tab[97]
#define __pyx_n_u_append __pyx_string_tab[98]
#define __pyx_n_u_approximateCubicArcLength __pyx_string_tab[99]
#define __pyx_n_u_approximateCubicArcLengthC __pyx_string_tab[100]
#define __pyx_n_u_approximateQuadraticArcLength __pyx_string_tab[101]
#define __pyx_n_u_approximateQuadraticArcLengthC __pyx_string_tab[102]
#define __pyx_n_u_arch __pyx_string_tab[103]
#define __pyx_n_u_asinh __pyx_string_tab[104]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[105]
#define __pyx_n_u_atan2 __pyx_string_tab[106]
#define __pyx_n_u_ax __pyx_string_tab[107]
#define __pyx_n_u_ax2 __pyx_string_tab[108]
#define __pyx_n_u_ax3 __pyx_string_tab[109]
#define __pyx_n_u_ay __pyx_string_tab[110]
#define __pyx_n_u_ay2 __pyx_string_tab[111]
#define __pyx_n_u_ay3 __pyx_string_tab[112]
#define __pyx_n_u_b __pyx_string_tab[113]
#define __pyx_n_u_b1 __pyx_string_tab[114]
#define __pyx_n_u_b1x __pyx_string_tab[115]
#define __pyx_n_u_b1y __pyx_string_tab[116]
#define __pyx_n_u_bounds1 __pyx_string_tab[117]
#define __pyx_n_u_bounds2 __pyx_string_tab[118]
#define __pyx_n_u_box __pyx_string_tab[119]
#define __pyx_n_u_bx __pyx_string_tab[120]
#define __pyx_n_u_bx2 __pyx_string_tab[121]
#define __pyx_n_u_by __pyx_string_tab[122]
#define __pyx_n_u_by2 __pyx_string_tab[123]
#define __pyx_n_u_c __pyx_string_tab[124]
#define __pyx_n_u_c1 __pyx_string_tab[125]
#define __pyx_n_u_c11 __pyx_string_tab[126]
#define __pyx_n_u_c11_range __pyx_string_tab[127]
#define __pyx_n_u_c12 __pyx_string_tab[128]
#define __pyx_n_u_c12_range __pyx_string_tab[129]
#define __pyx_n_u_c1x __pyx_string_tab[130]
#define __pyx_n_u_c1y __pyx_string_tab[131]
#define __pyx_n_u_c21 __pyx_string_tab[132]
#define __pyx_n_u_c21_range __pyx_string_tab[133]
#define __pyx_n_u_c22 __pyx_string_tab[134]
#define __pyx_n_u_c22_range __pyx_string_tab[135]
#define __pyx_n_u_calcBounds __pyx_string_tab[136]
#define __pyx_n_u_calcCubicArcLength __pyx_string_tab[137]
#define __pyx_n_u_calcCubicArcLengthC __pyx_string_tab[138]
#define __pyx_n_u_calcCubicBounds __pyx_string_tab[139]
#define __pyx_n_u_calcCubicParameters __pyx_string_tab[140]
#define __pyx_n_u_calcCubicPoints __pyx_string_tab[141]
#define __pyx_n_u_calcQuadraticArcLength __pyx_string_tab[142]
#define __pyx_n_u_calcQuadraticArcLengthC __pyx_string_tab[143]
#define __pyx_n_u_calcQuadraticBounds __pyx_string_tab[144]
#define __pyx_n_u_calcQuadraticParameters __pyx_string_tab[145]
#define __pyx_n_u_calcQuadraticPoints __pyx_string_tab[146]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[147]
#define __pyx_n_u_close __pyx_string_tab[148]
#define __pyx_n_u_collections __pyx_string_tab[149]
#define __pyx_n_u_cos __pyx_string_tab[150]
#define __pyx_n_u_cubicPointAtT __pyx_string_tab[151]
#define __pyx_n_u_cubicPointAtTC __pyx_string_tab[152]
#define __pyx_n_u_curve __pyx_string_tab[153]
#define __pyx_n_u_curve1 __pyx_string_tab[154]
#define __pyx_n_u_curve2 __pyx_string_tab[155]
#define __pyx_n_u_curveCurveIntersections __pyx_string_tab[156]
#define __pyx_n_u_curveLineIntersections __pyx_string_tab[157]
#define __pyx_n_u_cx __pyx_string_tab[158]
#define __pyx_n_u_cy __pyx_string_tab[159]
#define __pyx_n_u_d __pyx_string_tab[160]
#define __pyx_n_u_d0 __pyx_string_tab[161]
#define __pyx_n_u_d1 __pyx_string_tab[162]
#define __pyx_n_u_d1x __pyx_string_tab[163]
#define __pyx_n_u_d1y __pyx_string_tab[164]
#define __pyx_n_u_delta __pyx_string_tab[165]
#define __pyx_n_u_delta_2 __pyx_string_tab[166]
#define __pyx_n_u_delta_3 __pyx_string_tab[167]
#define __pyx_n_u_deriv3 __pyx_string_tab[168]
#define __pyx_n_u_doctest __pyx_string_tab[169]
#define __pyx_n_u_dx __pyx_string_tab[170]
#define __pyx_n_u_dy __pyx_string_tab[171]
#define __pyx_n_u_e __pyx_string_tab[172]
#define __pyx_n_u_e1 __pyx_string_tab[173]
#define __pyx_n_u_e1x __pyx_string_tab[174]
#define __pyx_n_u_e1y __pyx_string_tab[175]
#define __pyx_n_u_e2 __pyx_string_tab[176]
#define __pyx_n_u_e2x __pyx_string_tab[177]
#define __pyx_n_u_e2y __pyx_string_tab[178]
#define __pyx_n_u_end __pyx_string_tab[179]
#define __pyx_n_u_epsilon __pyx_string_tab[180]
#define __pyx_n_u_epsilonDigits __pyx_string_tab[181]
#define __pyx_n_u_ex __pyx_string_tab[182]
#define __pyx_n_u_exit __pyx_string_tab[183]
#define __pyx_n_u_ey __pyx_string_tab[184]
#define __pyx_n_u_failed __pyx_string_tab[185]
#define __pyx_n_u_fontTools_misc_arrayTools __pyx_string_tab[186]
#define __pyx_n_u_fontTools_misc_bezierTools __pyx_string_tab[187]
#define __pyx_n_u_fontTools_misc_transform __pyx_string_tab[188]
#define __pyx_n_u_found __pyx_string_tab[189]
#define __pyx_n_u_genexpr __pyx_string_tab[190]
#define __pyx_n_u_hits __pyx_string_tab[191]
#define __pyx_n_u_i __pyx_string_tab[192]
#define __pyx_n_u_insert __pyx_string_tab[193]
#define __pyx_n_u_intersection_ts __pyx_string_tab[194]
#define __pyx_n_u_intersections __pyx_string_tab[195]
#define __pyx_n_u_intersects __pyx_string_tab[196]
#define __pyx_n_u_isHorizontal __pyx_string_tab[197]
#define __pyx_n_u_isclose __pyx_string_tab[198]
#define __pyx_n_u_it __pyx_string_tab[199]
#define __pyx_n_u_items __pyx_string_tab[200]
#define __pyx_n_u_key __pyx_string_tab[201]
#define __pyx_n_u_line __pyx_string_tab[202]
#define __pyx_n_u_line1 __pyx_string_tab[203]
#define __pyx_n_u_line2 __pyx_string_tab[204]
#define __pyx_n_u_lineLineIntersections __pyx_string_tab[205]
#define __pyx_n_u_linePointAtT __pyx_string_tab[206]
#define __pyx_n_u_line_t __pyx_string_tab[207]
#define __pyx_n_u_math __pyx_string_tab[208]
#define __pyx_n_u_maybeline __pyx_string_tab[209]
#define __pyx_n_u_mid __pyx_string_tab[210]
#define __pyx_n_u_midPt __pyx_string_tab[211]
#define __pyx_n_u_midpoint __pyx_string_tab[212]
#define __pyx_n_u_mult __pyx_string_tab[213]
#define __pyx_n_u_n __pyx_string_tab[214]
#define __pyx_n_u_namedtuple __pyx_string_tab[215]
#define __pyx_n_u_next __pyx_string_tab[216]
#define __pyx_n_u_obj __pyx_string_tab[217]
#define __pyx_n_u_off1 __pyx_string_tab[218]
#define __pyx_n_u_off2 __pyx_string_tab[219]
#define __pyx_n_u_one __pyx_string_tab[220]
#define __pyx_n_u_origDist __pyx_string_tab[221]
#define __pyx_n_u_origin __pyx_string_tab[222]
#define __pyx_n_u_p __pyx_string_tab[223]
#define __pyx_n_u_p0 __pyx_string_tab[224]
#define __pyx_n_u_p1 __pyx_string_tab[225]
#define __pyx_n_u_p2 __pyx_string_tab[226]
#define __pyx_n_u_p3 __pyx_string_tab[227]
#define __pyx_n_u_pi __pyx_string_tab[228]
#define __pyx_n_u_pointAtT __pyx_string_tab[229]
#define __pyx_n_u_pointFinder __pyx_string_tab[230]
#define __pyx_n_u_points __pyx_string_tab[231]
#define __pyx_n_u_pop __pyx_string_tab[232]
#define __pyx_n_u_precision __pyx_string_tab[233]
#define __pyx_n_u_print __pyx_string_tab[234]
#define __pyx_n_u_printSegments __pyx_string_tab[235]
#define __pyx_n_u_pt __pyx_string_tab[236]
#define __pyx_n_u_pt1 __pyx_string_tab[237]
#define __pyx_n_u_pt1x __pyx_string_tab[238]
#define __pyx_n_u_pt1y __pyx_string_tab[239]
#define __pyx_n_u_pt2 __pyx_string_tab[240]
#define __pyx_n_u_pt2x __pyx_string_tab[241]
#define __pyx_n_u_pt2y __pyx_string_tab[242]
#define __pyx_n_u_pt3 __pyx_string_tab[243]
#define __pyx_n_u_pt4 __pyx_string_tab[244]
#define __pyx_n_u_px __pyx_string_tab[245]
#define __pyx_n_u_py __pyx_string_tab[246]
#define __pyx_n_u_quadraticPointAtT __pyx_string_tab[247]
#define __pyx_n_u_r __pyx_string_tab[248]
#define __pyx_n_u_rDD __pyx_string_tab[249]
#define __pyx_n_u_rQ2 __pyx_string_tab[250]
#define __pyx_n_u_range1 __pyx_string_tab[251]
#define __pyx_n_u_range2 __pyx_string_tab[252]
#define __pyx_n_u_rectArea __pyx_string_tab[253]
#define __pyx_n_u_roots __pyx_string_tab[254]
#define __pyx_n_u_rotate __pyx_string_tab[255]
#define __pyx_n_u_round __pyx_string_tab[256]
#define __pyx_n_u_s __pyx_string_tab[257]
#define __pyx_n_u_s1 __pyx_string_tab[258]
#define __pyx_n_u_s1x __pyx_string_tab[259]
#define __pyx_n_u_s1y __pyx_string_tab[260]
#define __pyx_n_u_s2 __pyx_string_tab[261]
#define __pyx_n_u_s2x __pyx_string_tab[262]
#define __pyx_n_u_s2y __pyx_string_tab[263]
#define __pyx_n_u_scale __pyx_string_tab[264]
#define __pyx_n_u_sectRect __pyx_string_tab[265]
#define __pyx_n_u_seen __pyx_string_tab[266]
#define __pyx_n_u_seg __pyx_string_tab[267]
#define __pyx_n_u_seg1 __pyx_string_tab[268]
#define __pyx_n_u_seg2 __pyx_string_tab[269]
#define __pyx_n_u_segment __pyx_string_tab[270]
#define __pyx_n_u_segmentPointAtT __pyx_string_tab[271]
#define __pyx_n_u_segmentSegmentIntersections __pyx_string_tab[272]
#define __pyx_n_u_segments __pyx_string_tab[273]
#define __pyx_n_u_send __pyx_string_tab[274]
#define __pyx_n_u_setdefault __pyx_string_tab[275]
#define __pyx_n_u_slope12 __pyx_string_tab[276]
#define __pyx_n_u_slope34 __pyx_string_tab[277]
#define __pyx_n_u_solutions __pyx_string_tab[278]
#define __pyx_n_u_solveCubic __pyx_string_tab[279]
#define __pyx_n_u_solveQuadratic __pyx_string_tab[280]
#define __pyx_n_u_split __pyx_string_tab[281]
#define __pyx_n_u_splitCubic __pyx_string_tab[282]
#define __pyx_n_u_splitCubic_locals_genexpr __pyx_string_tab[283]
#define __pyx_n_u_splitCubicAtT_2 __pyx_string_tab[284]
#define __pyx_n_u_splitCubicAtTC __pyx_string_tab[285]
#define __pyx_n_u_splitCubicIntoTwoAtTC __pyx_string_tab[286]
#define __pyx_n_u_splitLine __pyx_string_tab[287]
#define __pyx_n_u_splitQuadratic __pyx_string_tab[288]
#define __pyx_n_u_splitQuadratic_locals_genexpr __pyx_string_tab[289]
#define __pyx_n_u_splitQuadraticAtT_2 __pyx_string_tab[290]
#define __pyx_n_u_sqrt __pyx_string_tab[291]
#define __pyx_n_u_start __pyx_string_tab[292]
#define __pyx_n_u_swapped __pyx_string_tab[293]
#define __pyx_n_u_sx __pyx_string_tab[294]
#define __pyx_n_u_sy __pyx_string_tab[295]
#define __pyx_n_u_sys __pyx_string_tab[296]
#define __pyx_n_u_t __pyx_string_tab[297]
#define __pyx_n_u_t1 __pyx_string_tab[298]
#define __pyx_n_u_t1_2 __pyx_string_tab[299]
#define __pyx_n_u_t1_3 __pyx_string_tab[300]
#define __pyx_n_u_t2 __pyx_string_tab[301]
#define __pyx_n_u_testmod __pyx_string_tab[302]
#define __pyx_n_u_theta __pyx_string_tab[303]
#define __pyx_n_u_throw __pyx_string_tab[304]
#define __pyx_n_u_tolerance __pyx_string_tab[305]
#define __pyx_n_u_transformPoints __pyx_string_tab[306]
#define __pyx_n_u_translate __pyx_string_tab[307]
#define __pyx_n_u_ts __pyx_string_tab[308]
#define __pyx_n_u_two __pyx_string_tab[309]
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/* "fontTools/misc/bezierTools.py":55
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength(PyObject *__pyx_self, 
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PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_calcCubicArcLength, "calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005)\n\nCalculates the arc length for a cubic Bezier segment.\n\nWhereas :func:`approximateCubicArcLength` approximates the length, this\nfunction calculates it by \"measuring\", recursively dividing the curve\nuntil the divided segments are shorter than ``tolerance``.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n    tolerance: Controls the precision of the calcuation.\n\nReturns:\n    Arc length value.");
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#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k) {
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}
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#if CYTHON_VECTORCALL_TPNEW
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#if CYTHON_VECTORCALL_TPNEW
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#if CYTHON_VECTORCALL_TPNEW
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static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, PyObject *a, PyObject *k) {
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}
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#if CYTHON_VECTORCALL_TPNEW
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static const char bytes[] = "\n    >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])\n    \047(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))\047\n    %g(%s), .?Approximates the arc length for a cubic Bezier segment.\n\n    Uses Gauss-Lobatto quadrature with n=5 points to approximate arc length.\n    See :func:`calcCubicArcLength` for a slower but more accurate result.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> approximateCubicArcLength((0, 0), (25, 100), (75, 100), (100, 0))\n        190.04332968932817\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 50), (100, 100))\n        154.8852074945903\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (150, 0)) # line; exact result should be 150.\n        149.99999999999991\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (-50, 0)) # cusp; exact result should be 150.\n        136.9267662156362\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, -50), (-50, 0)) # cusp\n        154.80848416537057\n    Calculates the arc length for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as 2D tuple.\n        pt2: Handle point of the Bezier as 2D tuple.\n        pt3: End point of the Bezier as 2D tuple.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> calcQuadraticArcLength((0, 0), (0, 0), (0, 0)) # empty segment\n        0.0\n        >>> calcQuadraticArcLength((0, 0), (50, 0), (80, 0)) # collinear points\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (0, 80)) # collinear points vertical\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (50, 20), (100, 40)) # collinear points\n        107.70329614269008\n        >>> calcQuadraticArcLength((0, 0), (0, 100), (100, 0))\n        154.02976155645263\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (100, 0))\n        120.21581243984076\n        >>> calcQuadra""ticArcLength((0, 0), (50, -10), (80, 50))\n        102.53273816445825\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (-40, 0)) # collinear points, control point outside\n        66.66666666666667\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (0, 0)) # collinear points, looping back\n        40.0\n    Calculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcCubicBounds((0, 0), (25, 100), (75, 100), (100, 0))\n        (0, 0, 100, 75.0)\n        >>> calcCubicBounds((0, 0), (50, 0), (100, 50), (100, 100))\n        (0.0, 0.0, 100, 100)\n        >>> print(\"%f %f %f %f\" % calcCubicBounds((50, 0), (0, 100), (100, 100), (50, 0)))\n        35.566243 0.000000 64.433757 75.000000\n    Calculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as a 2D tuple.\n        pt2: Handle point of the Bezier as a 2D tuple.\n        pt3: End point of the Bezier as a 2D tuple.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcQuadraticBounds((0, 0), (50, 100), (100, 0))\n        (0, 0, 100, 50.0)\n        >>> calcQuadraticBounds((0, 0), (100, 0), (100, 100))\n        (0.0, 0.0, 100, 100)\n    Couldn\047t work out which intersection function to useFinds intersections between a curve and a curve.\n\n    Args:\n        curve1: List of coordinates of the first curve segment as 2D tuples.\n        curve2: List of coordinates of the second curve segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.""\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = curveCurveIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n    Finds intersections between a curve and a line.\n\n    Args:\n        curve: List of coordinates of the curve segment as 2D tuples.\n        line: List of coordinates of the line segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = curveLineIntersections(curve, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n    Finds intersections between two line segments.\n\n    Args:\n        s1, e1: Coordinates of the first line as 2D tuples.\n        s2, e2: Coordinates of the second line as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n\n        >>> a = lineLineIntersections( (310,389), (453, 222), (289, 251), (447, 367))\n        >>> len(a)\n        1\n        >>> intersection = a[0]\n        >>> intersection.pt\n        (374.44882952482897, 313.73458370177315)\n        >>> (intersection.t1, intersection.t2)\n        (0.45069111555824465, 0.5408153767394238)\n    Finds intersections between two segments.\n\n    Args:\n        seg1: List of coordinates of the first segment as 2D tuple""s.\n        seg2: List of coordinates of the second segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = segmentSegmentIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n        >>> curve3 = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = segmentSegmentIntersections(curve3, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n\n    Lib/fontTools/misc/bezierTools.pySolve a cubic equation.\n\n    Solves *a*x*x*x + b*x*x + c*x + d = 0* where a, b, c and d are real.\n\n    Args:\n        a: coefficient of *x\302\263*\n        b: coefficient of *x\302\262*\n        c: coefficient of *x*\n        d: constant term\n\n    Returns:\n        A list of roots. Note that the returned list is neither guaranteed to\n        be sorted nor to contain unique values!\n\n    Examples::\n\n        >>> solveCubic(1, 1, -6, 0)\n        [-3.0, -0.0, 2.0]\n        >>> solveCubic(-10.0, -9.0, 48.0, -29.0)\n        [-2.9, 1.0, 1.0]\n        >>> solveCubic(-9.875, -9.0, 47.625, -28.75)\n        [-2.911392, 1.0, 1.0]\n        >>> solveCubic(1.0, -4.5, 6.75, -3.375)\n        [1.5, 1.5, 1.5]\n        >>> solveCubic(-12.0, 18.0, -9.0, 1.50023651123)\n        [0.5, 0.5, 0.5]\n        >>> solveCubic(\n        ...     9.0, 0.0, 0.0, -7.62939453125e-05\n        ... ) == [-0.0, -0.0, -0.0]\n        True\n    Split a cubic Bezier curve at a given coordinate.\n\n    Args:\n       "" pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being four 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 150, False))\n        ((0, 0), (25, 100), (75, 100), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 50, False))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 25, True))\n        ((0, 0), (2.29379, 9.17517), (4.79804, 17.5085), (7.47414, 25))\n        ((7.47414, 25), (31.2886, 91.6667), (68.7114, 91.6667), (92.5259, 25))\n        ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))\n    Split a cubic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being four 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (59.375, 75), (68.75, 68.75), (77.3438, 56.25))\n        ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))\n    Split a line a""t a given coordinate.\n\n    Args:\n        pt1: Start point of line as 2D tuple.\n        pt2: End point of line as 2D tuple.\n        where: Position at which to split the line.\n        isHorizontal: Direction of the ray splitting the line. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two line segments (each line segment being two 2D tuples)\n        if the line was successfully split, or a list containing the original\n        line.\n\n    Example::\n\n        >>> printSegments(splitLine((0, 0), (100, 100), 50, True))\n        ((0, 0), (50, 50))\n        ((50, 50), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 100, True))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, True))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, False))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((100, 0), (0, 0), 50, False))\n        ((100, 0), (50, 0))\n        ((50, 0), (0, 0))\n        >>> printSegments(splitLine((0, 100), (0, 0), 50, True))\n        ((0, 100), (0, 50))\n        ((0, 50), (0, 0))\n    Split a quadratic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being three 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 150, False))""\n        ((0, 0), (50, 100), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, False))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, False))\n        ((0, 0), (12.5, 25), (25, 37.5))\n        ((25, 37.5), (62.5, 75), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, True))\n        ((0, 0), (7.32233, 14.6447), (14.6447, 25))\n        ((14.6447, 25), (50, 75), (85.3553, 25))\n        ((85.3553, 25), (92.6777, 14.6447), (100, -7.10543e-15))\n        >>> # XXX I\047m not at all sure if the following behavior is desirable:\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, True))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (50, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n    Split a quadratic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being three 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (62.5, 50), (75, 37.5))\n        ((75, 37.5), (87.5, 25), (100, 0))\n    Unknown curve degree_segmentrepr (line 1474)approximateCubicArcLength (line 331)calcCubicBounds (line 411)calcQuadraticArcLength (line 150)calcQuadraticBounds (line 297)curveCurveIntersections (line 1384)curveLineIntersections (line 1254)disableenablegcisenabledlineLineIntersections (line 1153)segmentSegmentIntersections (line 1426)solveCubic (line 847)splitCubic (line 551)splitCubicAtT (line 612)splitLine (li""ne 449)splitQuadratic (line 506)splitQuadraticAtT (line 588)<lambda>COMPILEDDDEPSILONIdentityIntersectionLenQQ3RR2R2_Q3__1_t_1_t_2_2_t_1_t__Pyx_PyDict_NextRef__all____annotate____class_getitem____func____main____module____name____qualname____test___alignment_transformation_both_points_are_on_same_side_of_origin_calcCubicArcLengthCRecurse_curve_bounds_curve_curve_intersections_t_curve_curve_intersections_t.<locals>.<lambda>_curve_curve_intersections_t.<locals>.midpoint_curve_line_intersections_t_curve_line_intersections_t.<locals>.genexpr_is_coroutine_is_linelike_is_linelike.<locals>.genexpr_line_t_of_pt_segmentrepr_segmentrepr.<locals>.genexpr_splitCubicAtT_splitCubicAtTC_splitQuadraticAtT_split_cubic_into_two_split_segment_at_taa1a1_3a1xa1ya2a3acosaligned_curveangleappendapproximateCubicArcLengthapproximateCubicArcLengthCapproximateQuadraticArcLengthapproximateQuadraticArcLengthCarchasinhasyncio.coroutinesatan2axax2ax3ayay2ay3bb1b1xb1ybounds1bounds2boxbxbx2byby2cc1c11c11_rangec12c12_rangec1xc1yc21c21_rangec22c22_rangecalcBoundscalcCubicArcLengthcalcCubicArcLengthCcalcCubicBoundscalcCubicParameterscalcCubicPointscalcQuadraticArcLengthcalcQuadraticArcLengthCcalcQuadraticBoundscalcQuadraticParameterscalcQuadraticPointscline_in_tracebackclosecollectionscoscubicPointAtTcubicPointAtTCcurvecurve1curve2curveCurveIntersectionscurveLineIntersectionscxcydd0d1d1xd1ydeltadelta_2delta_3deriv3doctestdxdyee1e1xe1ye2e2xe2yendepsilonepsilonDigitsexexiteyfailedfontTools.misc.arrayToolsfontTools.misc.bezierToolsfontTools.misc.transformfoundgenexprhitsiinsertintersection_tsintersectionsintersectsisHorizontaliscloseititemskeylineline1line2lineLineIntersectionslinePointAtTline_tmathmaybelinemidmidPtmidpointmultnnamedtuplenextobjoff1off2oneorigDistoriginpp0p1p2p3pipointAtTpointFinderpointspopprecisionprintprintSegmentsptpt1pt1xpt1ypt2pt2xpt2ypt3pt4pxpyquadraticPointAtTrrDDrQ2range1range2rectArearootsrotateroundss1s1xs1ys2s2xs2yscalesectRectseensegseg1seg2segmentsegmentPointAtTsegmentSegme""ntIntersectionssegmentssendsetdefaultslope12slope34solutionssolveCubicsolveQuadraticsplitsplitCubicsplitCubic.<locals>.genexprsplitCubicAtTsplitCubicAtTCsplitCubicIntoTwoAtTCsplitLinesplitQuadraticsplitQuadratic.<locals>.genexprsplitQuadraticAtTsqrtstartswappedsxsysystt1t1_2t1_3t2testmodthetathrowtolerancetransformPointstranslatetstwounique_keyunique_valuesv0v1v2v3v4valuevalueswherexx0x1x2x3x4xDiffxRootsyy1y2y3y4yDiffyRoots\200\001\200\001\330\004\007\200s\210!\2103\210c\220\021\330\010\013\2104\210q\330\010\023\220<\230q\240\003\2403\240a\330\010\017\210r\220\023\220L\240\n\250!\330\004\007\200s\210!\2103\210c\220\021\330\010\017\320\017 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T\230\022\2302\230R\230q\330\010\013\2103\210c\220\021\330\014\022\220$\220a\220q\330\014\024\220B\220a\220r\230\022\2305\240\002\240$\240b\250\004\250A\250R\250r\260\025\260b\270\004\270B\270a\360\006\000\r\025\220A\330\004\013\2101\320\000+\2501\360\034\000\005\014\320\013\036\230a\330\010\017\210r\220\026\220w\230b\240\006\240g\250R\250v\260W\270B\270f\300A";
    PyObject *data = NULL;
    #define __Pyx_DecompressString_UNUSED
    #define __Pyx_DecompressString_LZSS_UNUSED
    #endif
    PyObject **stringtab = __pyx_mstate->__pyx_string_tab;
    Py_ssize_t pos = 0;
    for (int i = 0; i < 335; i++) {
      Py_ssize_t bytes_length = str_length_index[i].length;
      PyObject *string = PyUnicode_DecodeUTF8(bytes + pos, bytes_length, NULL);
      if (likely(string) && i >= 42) PyUnicode_InternInPlace(&string);
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
      stringtab[i] = string;
      pos += bytes_length;
    }
    for (int i = 335; i < 387; i++) {
      Py_ssize_t bytes_length = bytes_length_index[i-335].length;
      PyObject *string = PyBytes_FromStringAndSize(bytes + pos, bytes_length);
      stringtab[i] = string;
      pos += bytes_length;
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    Py_XDECREF(data);
    for (Py_ssize_t i = 0; i < 387; i++) {
      if (unlikely(PyObject_Hash(stringtab[i]) == -1)) {
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    #if CYTHON_IMMORTAL_CONSTANTS
    {
      PyObject **table = stringtab + 335;
      for (Py_ssize_t i=0; i<52; ++i) {
        #if PY_VERSION_HEX >= 0x030F0000
        PyUnstable_SetImmortal(table[i]);
        #elif CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
        if ((PY_SSIZE_T_MAX <= _Py_IMMORTAL_REFCNT_LOCAL)) break;
        #if PY_VERSION_HEX < 0x030E0000
        if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
        #else
        if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
        #endif
        {
          Py_SET_REFCNT(table[i], ((Py_ssize_t)_Py_IMMORTAL_REFCNT_LOCAL + 1));
        }
        #else
        if ((PY_SSIZE_T_MAX < _Py_IMMORTAL_INITIAL_REFCNT)) break;
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
        #endif
      }
    }
    #endif
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab;
    double const c_constants[] = {0.0,0.5,1.0,-2.0,2.0,3.0,4.0,9.0,1e-3,1e-9,27.0,54.0,0.005,0.125,1e-10};
    for (int i = 0; i < 15; i++) {
      numbertab[i] = PyFloat_FromDouble(c_constants[i]);
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab + 15;
    int8_t const cint_constants_1[] = {0,-1,1,2,3,6};
    for (int i = 0; i < 6; i++) {
      numbertab[i] = PyLong_FromLong(cint_constants_1[i - 0]);
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  #if CYTHON_IMMORTAL_CONSTANTS
  {
    PyObject **table = __pyx_mstate->__pyx_number_tab;
    for (Py_ssize_t i=0; i<21; ++i) {
      #if PY_VERSION_HEX >= 0x030F0000
      PyUnstable_SetImmortal(table[i]);
      #elif CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      if ((PY_SSIZE_T_MAX <= _Py_IMMORTAL_REFCNT_LOCAL)) break;
      #if PY_VERSION_HEX < 0x030E0000
      if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
      #else
      if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
      #endif
      {
        Py_SET_REFCNT(table[i], ((Py_ssize_t)_Py_IMMORTAL_REFCNT_LOCAL + 1));
      }
      #else
      if ((PY_SSIZE_T_MAX < _Py_IMMORTAL_INITIAL_REFCNT)) break;
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
      #endif
    }
  }
  #endif
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_codeobjects ### */
#ifdef __cplusplus
namespace {
#endif
typedef struct {
    unsigned int argcount : 3;
    unsigned int num_posonly_args : 1;
    unsigned int num_kwonly_args : 1;
    unsigned int nlocals : 6;
    unsigned int flags : 10;
    unsigned int first_line : 11;
} __Pyx_PyCode_New_function_description;
#ifdef __cplusplus
} /* anonymous namespace */
#endif
/* NewCodeObj.proto */
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
);


static int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate) {
  PyObject* tuple_dedup_map = PyDict_New();
  if (unlikely(!tuple_dedup_map)) return -1;
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 545};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 582};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[1])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_GENERATOR), 643};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d};
    __pyx_mstate_global->__pyx_codeobj_tab[2] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtTC, __pyx_mstate->__pyx_kp_b_iso88591__4, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 21, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_GENERATOR), 769};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_t1, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_delta, __pyx_mstate->__pyx_n_u_delta_2, __pyx_mstate->__pyx_n_u_delta_3, __pyx_mstate->__pyx_n_u_a1, __pyx_mstate->__pyx_n_u_b1, __pyx_mstate->__pyx_n_u_c1, __pyx_mstate->__pyx_n_u_d1, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_t1_2, __pyx_mstate->__pyx_n_u_t1_3, __pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4};
    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtTC_2, __pyx_mstate->__pyx_kp_b_iso88591__4, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1251};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_i};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591__5, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1328};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_r};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_midpoint, __pyx_mstate->__pyx_kp_b_iso88591_A_t3aq_2Qaq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1365};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_ts};
    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_lambda, __pyx_mstate->__pyx_kp_b_iso88591_S_1Cr_S_1Cr, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1381};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_p};
    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1484};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_x};
    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_a_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 55};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_tolerance};
    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicArcLength, __pyx_mstate->__pyx_kp_b_iso88591_1_a_r_wb_gRvWBfA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 74};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_p0, __pyx_mstate->__pyx_n_u_p1, __pyx_mstate->__pyx_n_u_p2, __pyx_mstate->__pyx_n_u_p3, __pyx_mstate->__pyx_n_u_mid, __pyx_mstate->__pyx_n_u_deriv3};
    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_split_cubic_into_two, __pyx_mstate->__pyx_kp_b_iso88591_3b_S_b_Ba_c_3b_2T_1_c_4r_d_HA_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 83};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_mult, __pyx_mstate->__pyx_n_u_p0, __pyx_mstate->__pyx_n_u_p1, __pyx_mstate->__pyx_n_u_p2, __pyx_mstate->__pyx_n_u_p3, __pyx_mstate->__pyx_n_u_arch, __pyx_mstate->__pyx_n_u_box, __pyx_mstate->__pyx_n_u_one, __pyx_mstate->__pyx_n_u_two};
    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicArcLengthCRecurse, __pyx_mstate->__pyx_kp_b_iso88591_3as_A_Qc_4r_AS_b_1Cr_uBe2XS_RuB, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 103};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_tolerance, __pyx_mstate->__pyx_n_u_mult};
    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_4r_Rq_avU_uA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 150};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3};
    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticArcLength, __pyx_mstate->__pyx_kp_b_iso88591_7_F_6, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 14, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 185};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_scale, __pyx_mstate->__pyx_n_u_origDist, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_x0, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_Len, __pyx_mstate->__pyx_n_u_d0, __pyx_mstate->__pyx_n_u_d1, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_n};
    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_Rq_Rq_2Q_A_Cq_vS_s_4r_t1Cq_s_Rq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 236};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3};
    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateQuadraticArcLength, __pyx_mstate->__pyx_kp_b_iso88591_6_rQR, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 253};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_v0, __pyx_mstate->__pyx_n_u_v1, __pyx_mstate->__pyx_n_u_v2};
    __pyx_mstate_global->__pyx_codeobj_tab[16] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateQuadraticArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_B_A_2T_5Rt2_PPRRS_AT_5_A_Bd_6b, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[16])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 14, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 297};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_ax2, __pyx_mstate->__pyx_n_u_ay2, __pyx_mstate->__pyx_n_u_roots, __pyx_mstate->__pyx_n_u_points, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticBounds, __pyx_mstate->__pyx_kp_b_iso88591_T_t6_V_5_Q_Rq_Rq_A_t3a_WAQc_1_t, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 331};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4};
    __pyx_mstate_global->__pyx_codeobj_tab[18] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateCubicArcLength, __pyx_mstate->__pyx_kp_b_iso88591_2_Q_r_wb_gRvWBa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[18])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 361};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_v0, __pyx_mstate->__pyx_n_u_v1, __pyx_mstate->__pyx_n_u_v2, __pyx_mstate->__pyx_n_u_v3, __pyx_mstate->__pyx_n_u_v4};
    __pyx_mstate_global->__pyx_codeobj_tab[19] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateCubicArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_AT_5_A_2Q_Ba_Ba_Ba_AT_4r_RuBa_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[19])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 23, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 411};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_ax3, __pyx_mstate->__pyx_n_u_ay3, __pyx_mstate->__pyx_n_u_bx2, __pyx_mstate->__pyx_n_u_by2, __pyx_mstate->__pyx_n_u_xRoots, __pyx_mstate->__pyx_n_u_yRoots, __pyx_mstate->__pyx_n_u_roots, __pyx_mstate->__pyx_n_u_points, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicBounds, __pyx_mstate->__pyx_kp_b_iso88591_T_t6_V4v_e5PQ_Rq_Rq_Rq_Rq_Qb_E, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 449};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_where, __pyx_mstate->__pyx_n_u_isHorizontal, __pyx_mstate->__pyx_n_u_pt1x, __pyx_mstate->__pyx_n_u_pt1y, __pyx_mstate->__pyx_n_u_pt2x, __pyx_mstate->__pyx_n_u_pt2y, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_midPt};
    __pyx_mstate_global->__pyx_codeobj_tab[21] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitLine, __pyx_mstate->__pyx_kp_b_iso88591_H_b_b_S_r_A_r_a_s_c_1_r_D_2Rr_S, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[21])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 506};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_where, __pyx_mstate->__pyx_n_u_isHorizontal, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_solutions, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[22] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitQuadratic, __pyx_mstate->__pyx_kp_b_iso88591_F_s_Qe5_a_1N_A_aq_t1_r_e1_Qc_D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[22])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 551};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_where, __pyx_mstate->__pyx_n_u_isHorizontal, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_solutions, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[23] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubic, __pyx_mstate->__pyx_kp_b_iso88591_6_s_T_AU_uA_1O1A_2Q_aq_t1_r_e5, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[23])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 588};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c};
    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitQuadraticAtT_2, __pyx_mstate->__pyx_kp_b_iso88591_s_Qe5_Qc_D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 612};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_split};
    __pyx_mstate_global->__pyx_codeobj_tab[25] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtT_2, __pyx_mstate->__pyx_kp_b_iso88591_s_T_AU_uA_N_3c_D_e1Baq_6_r_3d_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[25])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 12, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 667};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_1_t, __pyx_mstate->__pyx_n_u_1_t_2, __pyx_mstate->__pyx_n_u_2_t_1_t, __pyx_mstate->__pyx_n_u_pointAtT, __pyx_mstate->__pyx_n_u_off1, __pyx_mstate->__pyx_n_u_off2};
    __pyx_mstate_global->__pyx_codeobj_tab[26] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicIntoTwoAtTC, __pyx_mstate->__pyx_kp_b_iso88591_0_2Q_2Rq_U_A_r_2Rq_r_b_Bb_7_Bb, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[26])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 26, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 707};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_segments, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_t1, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_delta, __pyx_mstate->__pyx_n_u_delta_2, __pyx_mstate->__pyx_n_u_a1x, __pyx_mstate->__pyx_n_u_a1y, __pyx_mstate->__pyx_n_u_b1x, __pyx_mstate->__pyx_n_u_b1y, __pyx_mstate->__pyx_n_u_t1_2, __pyx_mstate->__pyx_n_u_c1x, __pyx_mstate->__pyx_n_u_c1y, __pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3};
    __pyx_mstate_global->__pyx_codeobj_tab[27] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitQuadraticAtT, __pyx_mstate->__pyx_kp_b_iso88591_Qa_q_gQc_gQa_Q_Q_Q_U_3at2Q_Rq_R, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[27])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 34, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 734};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_segments, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_t1, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_delta, __pyx_mstate->__pyx_n_u_delta_2, __pyx_mstate->__pyx_n_u_delta_3, __pyx_mstate->__pyx_n_u_t1_2, __pyx_mstate->__pyx_n_u_t1_3, __pyx_mstate->__pyx_n_u_a1x, __pyx_mstate->__pyx_n_u_a1y, __pyx_mstate->__pyx_n_u_b1x, __pyx_mstate->__pyx_n_u_b1y, __pyx_mstate->__pyx_n_u_c1x, __pyx_mstate->__pyx_n_u_c1y, __pyx_mstate->__pyx_n_u_d1x, __pyx_mstate->__pyx_n_u_d1y, __pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4};
    __pyx_mstate_global->__pyx_codeobj_tab[28] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtT, __pyx_mstate->__pyx_kp_b_iso88591_Qa_gQc_gQa_q_Q_Q_Q_Q_U_3at2Q_Rq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[28])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 814};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_sqrt, __pyx_mstate->__pyx_n_u_roots, __pyx_mstate->__pyx_n_u_DD, __pyx_mstate->__pyx_n_u_rDD};
    __pyx_mstate_global->__pyx_codeobj_tab[29] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_solveQuadratic, __pyx_mstate->__pyx_kp_b_iso88591_s_3b_3as_A_A_AQb_Rr_2T_2Rq_3c_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[29])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 19, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 847};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_a1, __pyx_mstate->__pyx_n_u_a2, __pyx_mstate->__pyx_n_u_a3, __pyx_mstate->__pyx_n_u_Q, __pyx_mstate->__pyx_n_u_R, __pyx_mstate->__pyx_n_u_R2, __pyx_mstate->__pyx_n_u_Q3, __pyx_mstate->__pyx_n_u_R2_Q3, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_theta, __pyx_mstate->__pyx_n_u_rQ2, __pyx_mstate->__pyx_n_u_a1_3, __pyx_mstate->__pyx_n_u_x0, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_x2};
    __pyx_mstate_global->__pyx_codeobj_tab[30] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_solveCubic, __pyx_mstate->__pyx_kp_b_iso88591_L_s_3b_Qc_A_Qa_2Q_2Q_2Q_Bc_4r_R, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[30])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 944};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay};
    __pyx_mstate_global->__pyx_codeobj_tab[31] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticParameters, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_Rt2Q_Rt2Q_Bc_1_Bc_1_1D_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[31])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 18, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 955};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3, __pyx_mstate->__pyx_n_u_x4, __pyx_mstate->__pyx_n_u_y4, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay};
    __pyx_mstate_global->__pyx_codeobj_tab[32] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicParameters, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_Q_Rt2Q_Rt2Q_Rt2T_1_Rt2T_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[32])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 987};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_y1, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3};
    __pyx_mstate_global->__pyx_codeobj_tab[33] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticPoints, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_RuBa_RuBa_Bc_1_Bc_1_1D_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[33])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 20, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1000};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_y1, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3, __pyx_mstate->__pyx_n_u_x4, __pyx_mstate->__pyx_n_u_y4};
    __pyx_mstate_global->__pyx_codeobj_tab[34] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicPoints, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_Q_RuBa_RuBa_Rt2T_1_Rt2T_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[34])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1039};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[35] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_linePointAtT, __pyx_mstate->__pyx_kp_b_iso88591_AS_Cr_3b_1Cr_c_S_Cr_AS, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[35])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1052};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_y};
    __pyx_mstate_global->__pyx_codeobj_tab[36] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_quadraticPointAtT, __pyx_mstate->__pyx_kp_b_iso88591_2S_2Rs_Cq_2Rs_Bc_2Rs_3b_Bb_1A_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[36])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1067};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_1_t, __pyx_mstate->__pyx_n_u_1_t_2, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_y};
    __pyx_mstate_global->__pyx_codeobj_tab[37] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_cubicPointAtT, __pyx_mstate->__pyx_kp_b_iso88591_2Q_2Rq_U_A_r_b_1A_Cwb_Cq_2U_Cr, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[37])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1093};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_1_t, __pyx_mstate->__pyx_n_u_1_t_2};
    __pyx_mstate_global->__pyx_codeobj_tab[38] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_cubicPointAtTC, __pyx_mstate->__pyx_kp_b_iso88591_2Q_2Rq_U_A_7_E_4r_3gRr_4r_b_2U, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[38])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1118};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_seg, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[39] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_segmentPointAtT, __pyx_mstate->__pyx_kp_b_iso88591_s_5_1_2U_AU_Q_q_AU_Q_Be1_AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[39])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1133};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_e, __pyx_mstate->__pyx_n_u_pt, __pyx_mstate->__pyx_n_u_sx, __pyx_mstate->__pyx_n_u_sy, __pyx_mstate->__pyx_n_u_ex, __pyx_mstate->__pyx_n_u_ey, __pyx_mstate->__pyx_n_u_px, __pyx_mstate->__pyx_n_u_py};
    __pyx_mstate_global->__pyx_codeobj_tab[40] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_line_t_of_pt, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_s_3b_Bhd_Qc_4r_s_3b_Bc_Rq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[40])) goto bad;
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  {
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  {
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1231};
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    __pyx_mstate_global->__pyx_codeobj_tab[43] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_alignment_transformation, __pyx_mstate->__pyx_kp_b_iso88591_G1A_1_D_as_3b_Qd_Qc_5_87_1F_AQe, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[43])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1241};
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1254};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_curve, __pyx_mstate->__pyx_n_u_line, __pyx_mstate->__pyx_n_u_pointFinder, __pyx_mstate->__pyx_n_u_intersections, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_pt, __pyx_mstate->__pyx_n_u_line_t};
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  {
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1300};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_e, __pyx_mstate->__pyx_n_u_midpoint};
    __pyx_mstate_global->__pyx_codeobj_tab[47] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_split_segment_at_t, __pyx_mstate->__pyx_kp_b_iso88591_s_3c_4q_q_3a_r_L_s_3c_Q_AS_1_Bc, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[47])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 25, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1312};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_curve1, __pyx_mstate->__pyx_n_u_curve2, __pyx_mstate->__pyx_n_u_precision, __pyx_mstate->__pyx_n_u_range1, __pyx_mstate->__pyx_n_u_range2, __pyx_mstate->__pyx_n_u_bounds1, __pyx_mstate->__pyx_n_u_bounds2, __pyx_mstate->__pyx_n_u_intersects, __pyx_mstate->__pyx_n_u__6, __pyx_mstate->__pyx_n_u_midpoint, __pyx_mstate->__pyx_n_u_midpoint, __pyx_mstate->__pyx_n_u_c11, __pyx_mstate->__pyx_n_u_c12, __pyx_mstate->__pyx_n_u_c11_range, __pyx_mstate->__pyx_n_u_c12_range, __pyx_mstate->__pyx_n_u_c21, __pyx_mstate->__pyx_n_u_c22, __pyx_mstate->__pyx_n_u_c21_range, __pyx_mstate->__pyx_n_u_c22_range, __pyx_mstate->__pyx_n_u_found, __pyx_mstate->__pyx_n_u_unique_key, __pyx_mstate->__pyx_n_u_seen, __pyx_mstate->__pyx_n_u_unique_values, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_key};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1379};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_segment, __pyx_mstate->__pyx_n_u_maybeline, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[49] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_is_linelike, __pyx_mstate->__pyx_kp_b_iso88591_2B_1_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[49])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1384};
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1426};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1474};
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    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1487};
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    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* PyErrExceptionMatches (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif

/* PyObjectGetAttrStr (used by PyObjectGetAttrStrNoError) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError (used by GetBuiltinName) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}

/* CopyObjectArray (used by TupleOrListFromArrayImpl) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
#endif

/* TupleOrListFromArrayImpl (used by TupleFromArray) */
#if !(PY_VERSION_HEX >= 0x030F0000 && !CYTHON_COMPILING_IN_LIMITED_API)
CYTHON_UNUSED static PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n) {
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    PyObject *res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    #if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    #else
    Py_ssize_t i;
    for (i = 0; i < n; i++) {
        Py_INCREF(src[i]);
        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
    }
    #endif
    return res;
}
#endif

/* PyObjectCompare (used by UnicodeEquals) */
#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolEq
#define __Pyx_DEFINED_PyObject_CompareStrStrBoolEq
static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolEq(PyObject* s1, PyObject* s2) {
    #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000
    int result = PyUnicode_Equal(s1, s2);
    #if !CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(result == -1)) return -1;
    #endif
    if (result == 0) goto __pyx_return_false; else goto __pyx_return_true;
    #else
    int result = PyUnicode_Compare(s1, s2);
    if (unlikely((result == -1) && PyErr_Occurred())) return -1;
    if (result == 0) goto __pyx_return_true; else goto __pyx_return_false;
    #endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_str_str(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op1 == Py_None)) {
        if (op2 == Py_None) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(op2 == Py_None)) {
        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_return_false;
    }
    
    if (likely(op1 != Py_None)) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareStrStrBoolEq(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* fastcall */
#if CYTHON_VECTORCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = __Pyx_PyTuple_GET_SIZE(kwnames);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(n == -1)) return NULL;
    #endif
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        if (s == namei) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        int eq = __Pyx_PyUnicode_Equals(s, namei);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs;
    PyObject *dict;
#if !CYTHON_ASSUME_SAFE_SIZE
    nkwargs = PyTuple_Size(kwnames);
    if (unlikely(nkwargs < 0)) return NULL;
#else
    nkwargs = PyTuple_GET_SIZE(kwnames);
#endif
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
#if !CYTHON_ASSUME_SAFE_MACROS
        PyObject *key = PyTuple_GetItem(kwnames, i);
        if (!key) goto bad;
#else
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
#endif
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* PyObjectCall (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall (used by PyObjectCallOneArg) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
#if CYTHON_VECTORCALL && !(CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY)
  #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
    PyTypeObject *tp = Py_TYPE(callable);
    #if defined(__Pyx_CyFunction_USED)
    if (__Pyx_CyFunction_CheckExact(callable)) {
        return __Pyx_CyFunction_func_vectorcall(callable);
    }
    #endif
    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {
        return NULL;
    }
    assert(PyCallable_Check(callable));
    Py_ssize_t offset = tp->tp_vectorcall_offset;
    assert(offset > 0);
    vectorcallfunc ptr;
    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));
    return ptr;
}
  #else
    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
  #endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(nargsf);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
            return __Pyx_PyObject_CallMethO(func, args[0]);
    }
#endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
          #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
            return PyObject_Vectorcall(func, args, nargsf, NULL);
          #else
            vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
            if (f) {
                return f(func, args, nargsf, NULL);
            }
          #endif
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);
    }
    #if CYTHON_COMPILING_IN_LIMITED_API
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #elif CYTHON_COMPILING_IN_PYPY
    return PyObject_VectorcallDict(func, args, (size_t) nargs, kwargs);
    #else
    return PyObject_VectorcallDict(func, args, nargsf, kwargs);
    #endif
}

/* PyObjectCallOneArg (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* IgnoreException (used by UnpackUnboundCMethod_impl) */
static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception) {
    if (PyErr_GivenExceptionMatches(given_exception ? given_exception : PyErr_Occurred(), ignorable_exception)) {
        PyErr_Clear();
        return 1;
    }
    return 0;
}

/* UnpackUnboundCMethod_impl (used by UnpackUnboundCMethod) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *result;
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return PyObject_Vectorcall(method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);
}
#endif
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
     METH_VARARGS | METH_KEYWORDS,
#else
     METH_FASTCALL | METH_KEYWORDS,
#endif
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method, *result=NULL;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    result = method;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self && !__Pyx_IgnoreException(PyExc_AttributeError)) {
            return -1;
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            result = unbound_method;
        }
    }
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    if (unlikely(target->method)) {
        Py_DECREF(result);
    } else
#endif
    target->method = result;
    return 0;
}

/* CallUnboundCMethod0 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        if (likely(cfunc->flag == METH_NOARGS))
            return __Pyx_CallCFunction(cfunc, self, NULL);
        if (likely(cfunc->flag == METH_FASTCALL))
            return __Pyx_CallCFunctionFast(cfunc, self, NULL, 0);
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, NULL, 0, NULL);
        if (likely(cfunc->flag == (METH_VARARGS | METH_KEYWORDS)))
            return __Pyx_CallCFunctionWithKeywords(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple, NULL);
        if (cfunc->flag == METH_VARARGS)
            return __Pyx_CallCFunction(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple);
        return __Pyx__CallUnboundCMethod0(cfunc, self);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod0(&tmp_cfunc, self);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod0(cfunc, self);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *result;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
    result = __Pyx_PyObject_CallOneArg(cfunc->method, self);
    return result;
}

/* py_dict_items (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_items, d);
}

/* py_dict_values (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_values, d);
}

/* OwnedDictNext (used by ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue) {
    PyObject *next = NULL;
    if (!*ppos) {
        if (pvalue) {
            PyObject *dictview = pkey ? __Pyx_PyDict_Items(p) : __Pyx_PyDict_Values(p);
            if (unlikely(!dictview)) goto bad;
            *ppos = PyObject_GetIter(dictview);
            Py_DECREF(dictview);
        } else {
            *ppos = PyObject_GetIter(p);
        }
        if (unlikely(!*ppos)) goto bad;
    }
    next = PyIter_Next(*ppos);
    if (!next) {
        if (PyErr_Occurred()) goto bad;
        return 0;
    }
    if (pkey && pvalue) {
        *pkey = __Pyx_PySequence_ITEM(next, 0);
        if (unlikely(*pkey)) goto bad;
        *pvalue = __Pyx_PySequence_ITEM(next, 1);
        if (unlikely(*pvalue)) goto bad;
        Py_DECREF(next);
    } else if (pkey) {
        *pkey = next;
    } else {
        assert(pvalue);
        *pvalue = next;
    }
    return 1;
  bad:
    Py_XDECREF(next);
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
    PyErr_FormatUnraisable("Exception ignored in __Pyx_PyDict_NextRef");
#else
    PyErr_WriteUnraisable(__pyx_mstate_global->__pyx_n_u_Pyx_PyDict_NextRef);
#endif
    if (pkey) *pkey = NULL;
    if (pvalue) *pvalue = NULL;
    return 0;
}
#else // !CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue) {
    int result = PyDict_Next(p, ppos, pkey, pvalue);
    if (likely(result == 1)) {
        if (pkey) Py_INCREF(*pkey);
        if (pvalue) Py_INCREF(*pvalue);
    }
    return result;
}
#endif

/* RaiseDoubleKeywords (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);
        }
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *result = NULL;
        PyObject *args = PyTuple_New(2);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
        return result;
    }
#endif
    {
        PyObject *args[4] = {NULL, self, arg1, arg2};
        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
    }
}

/* ParseKeywordsImpl (used by ParseKeywords) */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos = NULL;
    #else
    Py_ssize_t pos = 0;
    #endif
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    #if CYTHON_AVOID_BORROWED_REFS
    while (__Pyx_PyDict_NextRef(kwds, &pos, &key, NULL))
    #else
    (void) __Pyx_PyDict_NextRef;
    while (PyDict_Next(kwds, &pos, &key, NULL))
    #endif
    {
        PyObject** const *name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (!*name) {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp != 1) {
                if (cmp == 0) {
                    PyErr_Format(PyExc_TypeError,
                        "%s() got an unexpected keyword argument '%U'",
                        function_name, key);
                }
                #if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(key);
                #endif
                break;
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        #endif
    }
    __Pyx_END_CRITICAL_SECTION();
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(pos);
    #endif
    assert(PyErr_Occurred());
}
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t extracted = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    name = first_kw_arg;
    while (*name && num_kwargs > extracted) {
        PyObject * key = **name;
        PyObject *value;
        int found = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        found = PyDict_GetItemRef(kwds, key, &value);
        #else
        value = PyDict_GetItemWithError(kwds, key);
        if (value) {
            Py_INCREF(value);
            found = 1;
        } else {
            if (unlikely(PyErr_Occurred())) goto bad;
        }
        #endif
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            extracted++;
        }
        name++;
    }
    if (num_kwargs > extracted) {
        if (ignore_unknown_kwargs) {
            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))
                goto bad;
        } else {
            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);
            goto bad;
        }
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t len;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    if (PyDict_Update(kwds2, kwds) < 0) goto bad;
    name = first_kw_arg;
    while (*name) {
        PyObject *key = **name;
        PyObject *value;
#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))
        int found = PyDict_Pop(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
        }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        int found = PyDict_GetItemRef(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;
        }
#else
    #if CYTHON_COMPILING_IN_CPYTHON
        value = _PyDict_Pop(kwds2, key, kwds2);
    #else
        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);
    #endif
        if (value == kwds2) {
            Py_DECREF(value);
        } else {
            if (unlikely(!value)) goto bad;
            values[name-argnames] = value;
        }
#endif
        name++;
    }
    len = PyDict_Size(kwds2);
    if (len > 0) {
        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);
    } else if (unlikely(len == -1)) {
        goto bad;
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject *key = NULL;
    PyObject** const * name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {
#if CYTHON_AVOID_BORROWED_REFS
        key = __Pyx_PySequence_ITEM(kwds, pos);
#else
        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);
#endif
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!key)) goto bad;
#endif
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            PyObject *value = kwvalues[pos];
            values[name-argnames] = __Pyx_NewRef(value);
        } else {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp == 1) {
                PyObject *value = kwvalues[pos];
                values[index_found] = __Pyx_NewRef(value);
            } else {
                if (unlikely(cmp == -1)) goto bad;
                if (kwds2) {
                    PyObject *value = kwvalues[pos];
                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                } else if (!ignore_unknown_kwargs) {
                    goto invalid_keyword;
                }
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        key = NULL;
        #endif
    }
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    goto bad;
bad:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(key);
    #endif
    return -1;
}

/* ParseKeywords */
static int __Pyx_ParseKeywords(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    if (CYTHON_VECTORCALL && likely(PyTuple_Check(kwds)))
        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
    else if (kwds2)
        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);
    else
        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
}

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* PyDictVersioning (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    if (!__Pyx_IgnoreException(PyExc_Exception)) {
        return NULL; // BaseException
    }
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) {
        if (!__Pyx_IgnoreException(PyExc_Exception)) {
            return NULL; // BaseException
        }
    }
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyObject *exc = PyErr_Occurred();
    if (unlikely(exc) && !__Pyx_IgnoreGivenException(exc, PyExc_Exception)) {
        return NULL; // BaseException
    }
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    long b;
    const PY_LONG_LONG lla = intval;
    PY_LONG_LONG llb;
    if (unlikely(__Pyx_PyLong_IsZero(op2))) {
        return __Pyx_NewRef(op2);
    }
    const int is_positive = __Pyx_PyLong_IsPos(op2);
    const digit* digits = __Pyx_PyLong_Digits(op2);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op2);
    if (likely(size == 1)) {
        b = (long) digits[0];
        if (!is_positive) b *= -1;
    } else {
        if (size == 2 && 8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
            b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) b *= -1;
            goto calculate_long;
        } else if (size == 2 && 8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT+30) {
            llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) llb *= -1;
            goto calculate_long_long;
        } else
        if (size == 3 && 8 * sizeof(long) - 1 > 3 * PyLong_SHIFT+30) {
            b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) b *= -1;
            goto calculate_long;
        } else if (size == 3 && 8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT+30) {
            llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) llb *= -1;
            goto calculate_long_long;
        } else
        if (size == 4 && 8 * sizeof(long) - 1 > 4 * PyLong_SHIFT+30) {
            b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) b *= -1;
            goto calculate_long;
        } else if (size == 4 && 8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT+30) {
            llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) llb *= -1;
            goto calculate_long_long;
        } else
        {}
        return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
    }
    calculate_long:
        CYTHON_UNUSED_VAR(a);
        CYTHON_UNUSED_VAR(b);
        llb = b;
        goto calculate_long_long;
    calculate_long_long:
        {
            PY_LONG_LONG llx;
            llx = lla * llb;
            return PyLong_FromLongLong(llx);
        }
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_MultiplyCObj(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) * (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        return __Pyx_Unpacked___Pyx_PyLong_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        return __Pyx_Float___Pyx_PyLong_MultiplyCObj(op2, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(op1, op2, inplace);
}
#endif

/* FormatTypeName (used by RaiseErrorWithObjectTypes) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
static __Pyx_TypeName
__Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp)
{
    PyObject *module = NULL, *name = NULL, *result = NULL;
    #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
    name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_qualname);
    #else
    name = PyType_GetQualName(tp);
    #endif
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad;
    module = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_module);
    if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad;
    if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) {
        result = name;
        name = NULL;
        goto done;
    }
    result = PyUnicode_FromFormat("%U.%U", module, name);
    if (unlikely(result == NULL)) goto bad;
  done:
    Py_XDECREF(name);
    Py_XDECREF(module);
    return result;
  bad:
    PyErr_Clear();
    if (name) {
        result = name;
        name = NULL;
    } else {
        result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u_);
    }
    goto done;
}
#endif

/* RaiseErrorWithObjectTypes (used by PyNumberBinop) */
static void __Pyx_RaiseErrorWithTypes1(PyObject* exc_type, const char *message, const char *arg, PyTypeObject *type_obj1, PyTypeObject *type_obj2) {
    __Pyx_TypeName type_name1 = __Pyx_PyType_GetFullyQualifiedName(type_obj1);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name1)) return;
    #endif
    __Pyx_TypeName type_name2 = __Pyx_PyType_GetFullyQualifiedName(type_obj2);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name2)) goto type2_failed;
    #endif
    PyErr_Format(exc_type, message, arg, type_name1, type_name2);
    __Pyx_DECREF_TypeName(type_name2);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
type2_failed:
#endif
    __Pyx_DECREF_TypeName(type_name1);
}

/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Add_xfloat_object
#define __Pyx_DEFINED_PyNumber_Add_xfloat_object
static PyObject* __Pyx_PyNumber_Add_xfloat_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyLong_CheckExact(op2)) {
        double int_op2;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op2)) {
            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);
            if (compact_op2 == 0) return __Pyx_NewRef(op1);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
            #if !CYTHON_USE_PYLONG_INTERNALS
            if (int_op2 == 0.) return __Pyx_NewRef(op1);
            #endif
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(float_op1 + int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_add, binaryfunc);
        if (likely(slot_func)) {
            return slot_func(op1, op2);
        }
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_add, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "+", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Add_xint_object
#define __Pyx_DEFINED_PyNumber_Add_xint_object
static PyObject* __Pyx_PyNumber_Add_xint_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op2)) {
        double int_op1;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op1)) {
            Py_ssize_t compact_op1 = __Pyx_PyLong_CompactValue(op1);
            if (compact_op1 == 0) return __Pyx_NewRef(op2);
            int_op1 = (double) compact_op1;
        } else
        #endif
        {
            int_op1 = PyLong_AsDouble(op1);
            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;
            #if !CYTHON_USE_PYLONG_INTERNALS
            if (int_op1 == 0.) return __Pyx_NewRef(op2);
            #endif
        }
        double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(int_op1 + float_op2);
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_add, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "+", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_object_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op1)) {
        if (PyFloat_CheckExact(op2)) {
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            return PyFloat_FromDouble(float_op1 + float_op2);
        }
        return __Pyx_PyNumber_Add_xfloat_object(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        if (PyLong_CheckExact(op2)) {
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                Py_ssize_t int_op1 = __Pyx_PyLong_CompactValue(op1);
                if (int_op1 == 0) return __Pyx_NewRef(op2);
                if (__Pyx_PyLong_IsCompact(op2)) {
                    Py_ssize_t int_op2 = __Pyx_PyLong_CompactValue(op2);
                    if (int_op2 == 0) return __Pyx_NewRef(op1);
                    return PyLong_FromSsize_t(int_op1 + int_op2);
                }
            }
            else if (__Pyx_PyLong_IsZero(op2)) return __Pyx_NewRef(op1);
            #endif
            binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyLong_Type, tp_as_number, nb_add, binaryfunc);
            if (likely(slot_func)) {
                return slot_func(op1, op2);
            }
        }
        return __Pyx_PyNumber_Add_xint_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);
}
#endif

/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_float
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_float
static PyObject* __Pyx_PyNumber_Multiply_xfloat_float(PyObject *op1, PyObject *op2, int inplace) {
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xint_float
#define __Pyx_DEFINED_PyNumber_Multiply_xint_float
static PyObject* __Pyx_PyNumber_Multiply_xint_float(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op2 != Py_None)) {
        double int_op1;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op1)) {
            Py_ssize_t compact_op1 = __Pyx_PyLong_CompactValue(op1);
            int_op1 = (double) compact_op1;
        } else
        #endif
        {
            int_op1 = PyLong_AsDouble(op1);
            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(int_op1 * float_op2);
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        ssizeargfunc repeat_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_sequence, sq_repeat, ssizeargfunc);
        if (likely(repeat_func)) {
            Py_ssize_t count;
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                count = __Pyx_PyLong_CompactValue(op1);
            } else
            #endif
            {
                count = PyLong_AsSsize_t(op1);
                if (unlikely((count == -1) && PyErr_Occurred())) return NULL;
            }
            return repeat_func(op2, count);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_float(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(PyFloat_CheckExact(op1))) {
        if (likely(op2 != Py_None)) {
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            return PyFloat_FromDouble(float_op1 * float_op2);
        }
        return __Pyx_PyNumber_Multiply_xfloat_float(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        return __Pyx_PyNumber_Multiply_xint_float(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#endif

/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Subtract_xfloat_object
#define __Pyx_DEFINED_PyNumber_Subtract_xfloat_object
static PyObject* __Pyx_PyNumber_Subtract_xfloat_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyLong_CheckExact(op2)) {
        double int_op2;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op2)) {
            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);
            if (compact_op2 == 0) return __Pyx_NewRef(op1);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
            #if !CYTHON_USE_PYLONG_INTERNALS
            if (int_op2 == 0.) return __Pyx_NewRef(op1);
            #endif
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(float_op1 - int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_subtract, binaryfunc);
        if (likely(slot_func)) {
            return slot_func(op1, op2);
        }
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_subtract, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "-", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Subtract_xint_object
#define __Pyx_DEFINED_PyNumber_Subtract_xint_object
static PyObject* __Pyx_PyNumber_Subtract_xint_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op2)) {
        double int_op1;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op1)) {
            Py_ssize_t compact_op1 = __Pyx_PyLong_CompactValue(op1);
            int_op1 = (double) compact_op1;
        } else
        #endif
        {
            int_op1 = PyLong_AsDouble(op1);
            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(int_op1 - float_op2);
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_subtract, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "-", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Subtract_object_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op1)) {
        if (PyFloat_CheckExact(op2)) {
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            return PyFloat_FromDouble(float_op1 - float_op2);
        }
        return __Pyx_PyNumber_Subtract_xfloat_object(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        if (PyLong_CheckExact(op2)) {
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                Py_ssize_t int_op1 = __Pyx_PyLong_CompactValue(op1);
                if (__Pyx_PyLong_IsCompact(op2)) {
                    Py_ssize_t int_op2 = __Pyx_PyLong_CompactValue(op2);
                    if (int_op2 == 0) return __Pyx_NewRef(op1);
                    return PyLong_FromSsize_t(int_op1 - int_op2);
                }
            }
            else if (__Pyx_PyLong_IsZero(op2)) return __Pyx_NewRef(op1);
            #endif
            binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyLong_Type, tp_as_number, nb_subtract, binaryfunc);
            if (likely(slot_func)) {
                return slot_func(op1, op2);
            }
        }
        return __Pyx_PyNumber_Subtract_xint_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2);
}
#endif

/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Add_xfloat_object
#define __Pyx_DEFINED_PyNumber_Add_xfloat_object
static PyObject* __Pyx_PyNumber_Add_xfloat_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyLong_CheckExact(op2)) {
        double int_op2;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op2)) {
            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);
            if (compact_op2 == 0) return __Pyx_NewRef(op1);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
            #if !CYTHON_USE_PYLONG_INTERNALS
            if (int_op2 == 0.) return __Pyx_NewRef(op1);
            #endif
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(float_op1 + int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_add, binaryfunc);
        if (likely(slot_func)) {
            return slot_func(op1, op2);
        }
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_add, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "+", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_float_object(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op1 != Py_None)) {
        if (likely(PyFloat_CheckExact(op2))) {
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            return PyFloat_FromDouble(float_op1 + float_op2);
        }
        return __Pyx_PyNumber_Add_xfloat_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareIntFloatBoolGe
#define __Pyx_DEFINED_PyObject_CompareIntFloatBoolGe
static int __Pyx_PyObject_CompareIntFloatBoolGe(PyObject *op1, PyObject *op2) {
    double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op1)) {
        Py_ssize_t iop1 = __Pyx_PyLong_CompactValue(op1);
        if (((double)iop1) >= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 >= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign1 = __Pyx_PyLong_Sign(op1);
        if (float_op2 >= 0.) {
            if (sign1 < 0) goto __pyx_return_false;
            if (float_op2 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign1 > 0) goto __pyx_return_true;
            if (float_op2 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 >= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow1;
        long iop1 = PyLong_AsLongAndOverflow(op1, &overflow1);
        if (likely(!overflow1)) {
            if ((long long) iop1 >= (1LL << 53)) {
                overflow1 = 1;
            } else if ((long long) iop1 <= - (1LL << 53)) {
                overflow1 = -1;
            } else {
                if (((double) iop1) >= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow1 < 0) {
            if (float_op2 > ((double) (1LL << 53))) goto __pyx_return_false;
        } else {
            if (float_op2 < - ((double) (1LL << 53))) goto __pyx_return_true;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolGe_object_float(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        if (likely(op2 != Py_None)) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 >= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareIntFloatBoolGe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return -1;
        __Pyx_PyErr_Clear();
        return 0;
    }
    return 0;
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    }
    return __Pyx_IterFinish();
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    long a;
    if (unlikely(__Pyx_PyLong_IsZero(op1))) {
    }
    const int is_positive = __Pyx_PyLong_IsPos(op1);
    const digit* digits = __Pyx_PyLong_Digits(op1);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
    if (likely(size == 1)) {
        a = (long) digits[0];
        if (!is_positive) a *= -1;
    } else {
        if (size == 2 && 8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
            a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) a *= -1;
            goto calculate_long;
        } else
        if (size == 3 && 8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
            a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) a *= -1;
            goto calculate_long;
        } else
        if (size == 4 && 8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
            a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) a *= -1;
            goto calculate_long;
        } else
        {}
        return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
    }
    calculate_long:
        if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                || __Pyx_PyLong_DigitCount(op1) <= 52 / PyLong_SHIFT) {
            return PyFloat_FromDouble((double)a / (double)b);
        }
        return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_TrueDivideObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) / (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_TrueDivideObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_TrueDivideObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_TrueDivideObjC(op1, op2, inplace);
}
#endif

/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
static PyObject* __Pyx_PyNumber_Multiply_xfloat_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyLong_CheckExact(op2)) {
        double int_op2;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op2)) {
            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        if (float_op1 == 0.) return __Pyx_NewRef(op1);
        return PyFloat_FromDouble(float_op1 * int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            return slot_func(op1, op2);
        }
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_float_object(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op1 != Py_None)) {
        if (likely(PyFloat_CheckExact(op2))) {
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            return PyFloat_FromDouble(float_op1 * float_op2);
        }
        return __Pyx_PyNumber_Multiply_xfloat_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolLt
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolLt
static int __Pyx_PyObject_CompareFloatIntBoolLt(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 < ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 < 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign2 > 0) goto __pyx_return_true;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 < 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 < ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLt_float_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op1 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (likely(op1 != Py_None)) {
        if (likely(PyFloat_CheckExact(op2))) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 < float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareFloatIntBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyLongCompare */
static CYTHON_INLINE int __Pyx_PyLong_BoolNeObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 0;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) != 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 1;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 1;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal != 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        return ((double)a != (double)b);
    }
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_NE);
}

/* ListAppendAndDecrefInternal (used by ListAppend) */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE void __Pyx__ListComp_AppendAndDecref(PyObject* list, Py_ssize_t len, PyObject* x) {
    PyList_SET_ITEM(list, len, x);
    Py_SET_SIZE(list, len + 1);
}
#endif

/* ListAppend */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        __Pyx__ListComp_AppendAndDecref(list, len, x);
        return 0;
    }
    return PyList_Append(list, x);
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareIntFloatBoolLe
#define __Pyx_DEFINED_PyObject_CompareIntFloatBoolLe
static int __Pyx_PyObject_CompareIntFloatBoolLe(PyObject *op1, PyObject *op2) {
    double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op1)) {
        Py_ssize_t iop1 = __Pyx_PyLong_CompactValue(op1);
        if (((double)iop1) <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign1 = __Pyx_PyLong_Sign(op1);
        if (float_op2 >= 0.) {
            if (sign1 < 0) goto __pyx_return_true;
            if (float_op2 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign1 > 0) goto __pyx_return_false;
            if (float_op2 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        }
    }
    #else
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow1;
        long iop1 = PyLong_AsLongAndOverflow(op1, &overflow1);
        if (likely(!overflow1)) {
            if ((long long) iop1 >= (1LL << 53)) {
                overflow1 = 1;
            } else if ((long long) iop1 <= - (1LL << 53)) {
                overflow1 = -1;
            } else {
                if (((double) iop1) <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow1 < 0) {
            if (float_op2 > ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op2 < - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolLe
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolLe
static int __Pyx_PyObject_CompareIntIntBoolLe(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_true;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 <= iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 <= overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_int_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op1 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (op1 == op2) goto __pyx_return_true;
    if (likely(op1 != Py_None)) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(PyLong_CheckExact(op2))) {
            return __Pyx_PyObject_CompareIntIntBoolLe(op1, op2);
        }
        if (PyFloat_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntFloatBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolLt
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolLt
static int __Pyx_PyObject_CompareFloatIntBoolLt(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 < ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 < 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign2 > 0) goto __pyx_return_true;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 < 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 < ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolLt
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolLt
static int __Pyx_PyObject_CompareIntIntBoolLt(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_false;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 < iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 < overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLt_object_int(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (op1 == op2) goto __pyx_return_false;
    if (PyFloat_CheckExact(op1)) {
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareFloatIntBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if (likely(PyLong_CheckExact(op1))) {
        if (op1 == op2) goto __pyx_return_false;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareIntIntBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* ListCompAppendAndDecref */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_ListComp_AppendAndDecref(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        __Pyx__ListComp_AppendAndDecref(list, len, x);
        return 0;
    }
    int result = PyList_Append(list, x);
    Py_DECREF(x);
    return result;
}
#else
static CYTHON_INLINE int __Pyx_ListComp_AppendAndDecref(PyObject* list, PyObject* x) {
    int result = PyList_Append(list, x);
    Py_DECREF(x);
    return result;
}
#endif

/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
static PyObject* __Pyx_PyNumber_Multiply_xfloat_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyLong_CheckExact(op2)) {
        double int_op2;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op2)) {
            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        if (float_op1 == 0.) return __Pyx_NewRef(op1);
        return PyFloat_FromDouble(float_op1 * int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            return slot_func(op1, op2);
        }
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xint_object
#define __Pyx_DEFINED_PyNumber_Multiply_xint_object
static PyObject* __Pyx_PyNumber_Multiply_xint_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op2)) {
        double int_op1;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op1)) {
            Py_ssize_t compact_op1 = __Pyx_PyLong_CompactValue(op1);
            int_op1 = (double) compact_op1;
        } else
        #endif
        {
            int_op1 = PyLong_AsDouble(op1);
            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        return PyFloat_FromDouble(int_op1 * float_op2);
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        ssizeargfunc repeat_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_sequence, sq_repeat, ssizeargfunc);
        if (likely(repeat_func)) {
            Py_ssize_t count;
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                count = __Pyx_PyLong_CompactValue(op1);
            } else
            #endif
            {
                count = PyLong_AsSsize_t(op1);
                if (unlikely((count == -1) && PyErr_Occurred())) return NULL;
            }
            return repeat_func(op2, count);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_object(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op1)) {
        if (PyFloat_CheckExact(op2)) {
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
            #endif
            return PyFloat_FromDouble(float_op1 * float_op2);
        }
        return __Pyx_PyNumber_Multiply_xfloat_object(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        if (PyLong_CheckExact(op2)) {
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                long long int_op1 = (long long) __Pyx_PyLong_CompactValue(op1);
                if (int_op1 == 0) return __Pyx_NewRef(op1);
                if (__Pyx_PyLong_IsCompact(op2)) {
                    long long int_op2 = (long long) __Pyx_PyLong_CompactValue(op2);
                    if (int_op2 == 0) return __Pyx_NewRef(op2);
                    return PyLong_FromLongLong(int_op1 * int_op2);
                }
            }
            else if (__Pyx_PyLong_IsZero(op2)) return __Pyx_NewRef(op2);
            #endif
            binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyLong_Type, tp_as_number, nb_multiply, binaryfunc);
            if (likely(slot_func)) {
                return slot_func(op1, op2);
            }
        }
        return __Pyx_PyNumber_Multiply_xint_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#endif

/* ListCompAppend */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        __Pyx__ListComp_AppendAndDecref(list, len, x);
        return 0;
    }
    return PyList_Append(list, x);
}
#endif

/* PyFrozenDict (used by GetItemInt) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE PyObject* __Pyx__PyFrozenDict_New(PyObject* frozendict_type, PyObject* it) {
    return PyObject_CallFunctionObjArgs(frozendict_type, it, NULL);
}
#endif

/* GettItemInt_wraparound (used by GetItemInt) */
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
static int __Pyx_GetItemInt_wraparound(PyObject *o, PySequenceMethods *sm, Py_ssize_t *i) {
    assert(*i < 0);
    if (likely(sm->sq_length)) {
        Py_ssize_t l = sm->sq_length(o);
        if (likely(l >= 0)) {
            *i += l;
        } else {
            if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                return -1;
            PyErr_Clear();
        }
    }
    return 0;
}
#endif

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static PyObject *__Pyx_GetItemInt_Generic_size(PyObject *o, Py_ssize_t i) {
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_AVOID_BORROWED_REFS
    CYTHON_UNUSED_VAR(boundscheck);
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        Py_ssize_t size = __Pyx_PyList_GET_SIZE(o);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(size < 0)) return NULL;
        #endif
        wrapped_i += size;
    }
    return __Pyx_PyList_GetItemRef(o, wrapped_i);
#elif CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    Py_ssize_t wrapped_i = i;
    Py_ssize_t size = (wraparound | boundscheck) ? PyList_GET_SIZE(o) : -1;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += size;
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, size))) {
        return __Pyx_PyList_GET_ITEM_REF(o, wrapped_i, unsafe_shared);
    }
    return __Pyx_GetItemInt_Generic_size(o, i);
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_AVOID_BORROWED_REFS
    CYTHON_UNUSED_VAR(boundscheck);
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        Py_ssize_t size = __Pyx_PyTuple_GET_SIZE(o);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(size < 0)) return NULL;
        #endif
        wrapped_i += size;
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_COMPILING_IN_LIMITED_API
    return PySequence_ITEM(o, wrapped_i);
    #else
    if (unlikely(wrapped_i < 0)) {
        PyErr_SetString(PyExc_IndexError, "tuple index out of range");
        return NULL;
    }
    return PySequence_GetItem(o, wrapped_i);
    #endif
#elif CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    Py_ssize_t wrapped_i = i;
    Py_ssize_t size = (wraparound | boundscheck) ? PyTuple_GET_SIZE(o) : -1;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += size;
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, size))) {
        return __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(o, wrapped_i));
    }
    return __Pyx_GetItemInt_Generic_size(o, i);
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast_mapping(PyObject *o, binaryfunc getitem, Py_ssize_t i) {
    PyObject *r, *key = PyLong_FromSsize_t(i);
    if (unlikely(!key)) return NULL;
    r = getitem(o, key);
    Py_DECREF(key);
    return r;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_SIZE
    if (PyList_CheckExact(o)) {
        return __Pyx_GetItemInt_List_Fast(o, i, wraparound, boundscheck, unsafe_shared);
    } else
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (PyTuple_CheckExact(o)) {
        return __Pyx_GetItemInt_Tuple_Fast(o, i, wraparound, boundscheck, unsafe_shared);
    } else
    #endif
#else
    if ((!wraparound || i >= 0) & PyList_CheckExact(o)) {
        return boundscheck ? __Pyx_PyList_GetItemRef(o, i) : __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared);
    } else
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    if (PyDict_CheckExact(o)) {
        return __Pyx_GetItemInt_Fast_mapping(o, PyDict_Type.tp_as_mapping->mp_subscript, i);
    #if defined(PyFrozenDict_CheckExact)
    } else if (PyFrozenDict_CheckExact(o)) {
        return __Pyx_GetItemInt_Fast_mapping(o, PyFrozenDict_Type.tp_as_mapping->mp_subscript, i);
    #endif
    } else
    {
        PyTypeObject *obj_type = Py_TYPE(o);
        int seq_or_mapping = __Pyx_PyType_GetFlags(obj_type) & (Py_TPFLAGS_SEQUENCE|Py_TPFLAGS_MAPPING);
        if (seq_or_mapping != Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (mm && mm->mp_subscript)
                return __Pyx_GetItemInt_Fast_mapping(o, mm->mp_subscript, i);
        }
        PySequenceMethods *sm = obj_type->tp_as_sequence;
        if (likely(sm && sm->sq_item)) {
            if (wraparound && (i < 0) && unlikely(__Pyx_GetItemInt_wraparound(o, sm, &i) == -1))
                return NULL;
            return sm->sq_item(o, i);
        }
        if (seq_or_mapping == Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (likely(mm && mm->mp_subscript))
                return __Pyx_GetItemInt_Fast_mapping(o, mm->mp_subscript, i);
        }
    }
#else
    if (!PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_GetItemInt_Generic_size(o, i);
}

/* RaiseErrorWithObjectType (used by ObjectGetItem) */
static void __Pyx_RaiseErrorWithType(PyObject* exc_type, const char* message, PyTypeObject *type_obj) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetFullyQualifiedName(type_obj);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name)) return;
    #endif
    PyErr_Format(exc_type, message, type_name);
    __Pyx_DECREF_TypeName(type_name);
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 1, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        __Pyx_RaiseErrorWithObjectType(
            PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer",
            index);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    if (likely(PyType_Check(obj))) {
        if ((PyTypeObject*)obj == &PyType_Type) {
            return Py_GenericAlias(obj, key);
        }
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_mstate_global->__pyx_n_u_class_getitem);
        if (!meth) {
            if (PyErr_Occurred()) {
                return NULL;
            }
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    __Pyx_RaiseTypeErrorWithObjectType(
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif

/* PyLongCompare */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 1;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) == 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 0;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 0;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal == 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        return ((double)a == (double)b);
    }
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
}

/* RaiseUnboundLocalError */
static void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* GetException (used by pep479) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#elif __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}

/* pep479 */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
    PyObject *exc, *val, *tb, *cur_exc, *new_exc;
    __Pyx_PyThreadState_declare
    int is_async_stopiteration = 0;
    CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
    __Pyx_PyThreadState_assign
    cur_exc = __Pyx_PyErr_CurrentExceptionType();
    if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
        if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopAsyncIteration))) {
            is_async_stopiteration = 1;
        } else {
            return;
        }
    }
    __Pyx_GetException(&exc, &val, &tb);
    Py_XDECREF(exc);
    Py_XDECREF(tb);
    new_exc = PyObject_CallFunction(PyExc_RuntimeError, "s",
        is_async_stopiteration ? "async generator raised StopAsyncIteration" :
        in_async_gen ? "async generator raised StopIteration" :
        "generator raised StopIteration");
    if (!new_exc) {
        Py_XDECREF(val);
        return;
    }
    PyException_SetCause(new_exc, val); // steals ref to val
    PyErr_SetObject(PyExc_RuntimeError, new_exc);
    Py_DECREF(new_exc);
}

/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#else
    if ((1))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyLong_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyLong_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    } else {
        __Pyx_RaiseTypeErrorWithObjectType(
            "'" __Pyx_FMT_TYPENAME "' object is unsliceable", obj);
    }
bad:
    return NULL;
}

/* ListExtend */
#if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030d0000) && !defined(PyList_Extend)
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}
#endif

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE int __Pyx_SetItemInt_Fast_mapping(PyObject *o, objobjargproc setitem, Py_ssize_t i, PyObject *value) {
    PyObject *key = PyLong_FromSsize_t(i);
    if (unlikely(!key)) return -1;
    int r = setitem(o, key, value);
    Py_DECREF(key);
    return r;
}
#endif
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS
    if (PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared))) {
            Py_INCREF(v);
            return PyList_SetItem(o, n, v);
        } else if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old;
            Py_INCREF(v);
            old = PyList_GET_ITEM(o, n);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 0;
        }
    } else
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    if (PyDict_CheckExact(o)) {
        return __Pyx_SetItemInt_Fast_mapping(o, PyDict_Type.tp_as_mapping->mp_ass_subscript, i, v);
    } else
    {
        PyTypeObject *obj_type = Py_TYPE(o);
        int seq_or_mapping = __Pyx_PyType_GetFlags(obj_type) & (Py_TPFLAGS_SEQUENCE|Py_TPFLAGS_MAPPING);
        if (seq_or_mapping != Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (mm && mm->mp_ass_subscript)
                return __Pyx_SetItemInt_Fast_mapping(o, mm->mp_ass_subscript, i, v);
        }
        PySequenceMethods *sm = obj_type->tp_as_sequence;
        if (likely(sm && sm->sq_ass_item)) {
            if (wraparound && (i < 0) && unlikely(__Pyx_GetItemInt_wraparound(o, sm, &i) == -1))
                return -1;
            return sm->sq_ass_item(o, i, v);
        }
        if (seq_or_mapping == Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (likely(mm && mm->mp_ass_subscript))
                return __Pyx_SetItemInt_Fast_mapping(o, mm->mp_ass_subscript, i, v);
        }
    }
#else
    if (!PyMapping_Check(o)) {
        return PySequence_SetItem(o, i, v);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_SetItemInt_Generic(o, PyLong_FromSsize_t(i), v);
}

/* CoroutineSetYieldFrom (used by GeneratorYieldFrom) */
static void
__Pyx_Coroutine_Set_Owned_Yield_From(__pyx_CoroutineObject *gen, PyObject *yf) {
    assert (!gen->yieldfrom);
#if CYTHON_USE_AM_SEND
    assert (!gen->yieldfrom_am_send);
    #if PY_VERSION_HEX < 0x030A00F0
    if (__Pyx_PyType_HasFeature(Py_TYPE(yf), __Pyx_TPFLAGS_HAVE_AM_SEND))
    #endif
    {
        __Pyx_pyiter_sendfunc am_send;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030A0000
        am_send = __Pyx_PyObject_TryGetSubSlot(yf, tp_as_async, am_send, __Pyx_pyiter_sendfunc);
        #else
        __Pyx_PyAsyncMethodsStruct* tp_as_async = (__Pyx_PyAsyncMethodsStruct*) Py_TYPE(yf)->tp_as_async;
        am_send = tp_as_async ? tp_as_async->am_send : NULL;
        #endif
        if (likely(am_send)) {
            gen->yieldfrom_am_send = am_send;
        }
    }
#endif
    gen->yieldfrom = yf;
}

/* dict_setdefault (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {
    PyObject* value;
#if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4)
    PyDict_SetDefaultRef(d, key, default_value, &value);
#elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    PyObject *args[] = {d, key, default_value};
    value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}

/* AddModuleRef (used by FetchSharedCythonModule) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3
  static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) {
      PyObject *module_dict = PyImport_GetModuleDict();
      PyObject *m;
      if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) {
          return NULL;
      }
      if (m != NULL && PyModule_Check(m)) {
          return m;
      }
      Py_XDECREF(m);
      m = PyModule_NewObject(name);
      if (m == NULL)
          return NULL;
      if (PyDict_CheckExact(module_dict)) {
          PyObject *new_m;
          (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m);
          Py_DECREF(m);
          return new_m;
      } else {
           if (PyObject_SetItem(module_dict, name, m) != 0) {
                Py_DECREF(m);
                return NULL;
            }
            return m;
      }
  }
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      if ((PY_VERSION_HEX >= 0x030E0000) &&  Py_Version >= 0x030E0100) {
          return PyImport_AddModuleRef(name);
      }
      PyObject *py_name = PyUnicode_FromString(name);
      if (!py_name) return NULL;
      PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name);
      Py_DECREF(py_name);
      return module;
  }
#elif __PYX_LIMITED_VERSION_HEX < 0x030d0000
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif

/* FetchSharedCythonModule (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
}

/* VerifyCachedType (used by FetchCommonType) */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize) {
    Py_ssize_t basicsize;
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (expected_basicsize == 0) {
        return 0; // size is inherited, nothing useful to check
    }
#if CYTHON_COMPILING_IN_LIMITED_API && CYTHON_OPAQUE_OBJECTS
    if (expected_basicsize < 0) {
        basicsize = PyType_GetTypeDataSize((PyTypeObject*)cached_type);
    } else
#endif
    {
    #if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) return -1;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = NULL;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
    #else
        basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
    #endif
    }
    if ((expected_basicsize >= 0) ?
            (basicsize != expected_basicsize) :
            (basicsize < -expected_basicsize)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}

/* FetchCommonType (used by CommonTypesMetaclass) */
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
    if (result && metaclass) {
        PyObject *old_tp = (PyObject*)Py_TYPE(result);
        Py_INCREF((PyObject*)metaclass);
        Py_SET_TYPE(result, metaclass);
        Py_DECREF(old_tp);
        PyType_Modified((PyTypeObject*)result);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
    int get_item_ref_result;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    py_object_name = PyUnicode_FromString(object_name);
    if (!py_object_name) return NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) goto done;
    abi_module_dict = PyModule_GetDict(abi_module);
    if (!abi_module_dict) goto done;
    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
    if (get_item_ref_result == 1) {
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else if (unlikely(get_item_ref_result == -1)) {
        goto bad;
    }
    cached_type = __Pyx_PyType_FromMetaclass(
        metaclass,
        CYTHON_USE_MODULE_STATE ? module : abi_module,
        spec, bases);
    if (unlikely(!cached_type)) goto bad;
    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type);
    if (unlikely(new_cached_type != cached_type)) {
        if (unlikely(!new_cached_type)) goto bad;
        Py_DECREF(cached_type);
        cached_type = new_cached_type;
        if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else {
        Py_DECREF(new_cached_type);
    }
done:
    Py_XDECREF(abi_module);
    Py_DECREF(py_object_name);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CommonTypesMetaclass (used by CoroutineBase) */
static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) {
    PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types");
    return NULL;
}
static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) {
    PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable");
    return -1;
}
#endif
static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
    #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr},
    #endif
    {0, 0}
};
static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
    0,
    0,
    Py_TPFLAGS_IMMUTABLETYPE |
    Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT,
    __pyx_CommonTypesMetaclass_slots
};
static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    PyObject *bases = PyTuple_Pack(1, &PyType_Type);
    if (unlikely(!bases)) {
        return -1;
    }
    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
    Py_DECREF(bases);
    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
        return -1;
    }
    return 0;
}

/* RaiseException (used by CoroutineBase) */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
#elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}

/* GetTopmostException (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* SwapException (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* CallTypeTraverse (used by CoroutineBase) */
#if !CYTHON_USE_TYPE_SPECS
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    if (!always_call) {
        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
        unsigned long flags = PyType_GetFlags(base);
        if (flags & Py_TPFLAGS_HEAPTYPE) {
            return 0;
        }
    }
    Py_VISIT((PyObject*)Py_TYPE(o));
    return 0;
}
#endif

/* IterNextPlain (used by CoroutineBase) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void) {
    if (unlikely(!__pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache))
        __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache = __Pyx_GetBuiltinName(__pyx_mstate_global->__pyx_n_u_next);
    return __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator) {
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    PyObject *result;
    PyObject *next = __Pyx_GetBuiltinNext_LimitedAPI();
    if (unlikely(!next)) return NULL;
    result = PyObject_CallFunctionObjArgs(next, iterator, NULL);
    return result;
#else
    (void)__Pyx_GetBuiltinName; // only for early limited API
    iternextfunc iternext = __Pyx_PyObject_GetIterNextFunc(iterator);
    assert(iternext);
    return iternext(iterator);
#endif
}

/* PyObjectCallMethod1 (used by CoroutineBase) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || !CYTHON_COMPILING_IN_LIMITED_API)
    PyObject *args[2] = {obj, arg};
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_CallMethodObjArgs(obj, method_name, arg, NULL);
#else
    return PyObject_CallMethodOneArg(obj, method_name, arg);
#endif
}

/* PyObjectCallNoArg (used by CoroutineBase) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* ReturnWithStopIteration (used by CoroutineBase) */
static void __Pyx__ReturnWithStopIteration(PyObject* value, int async);
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext) {
    if (value == Py_None) {
        if (async || !iternext)
            PyErr_SetNone(async ? PyExc_StopAsyncIteration : PyExc_StopIteration);
        return;
    }
    __Pyx__ReturnWithStopIteration(value, async);
}
static void __Pyx__ReturnWithStopIteration(PyObject* value, int async) {
#if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_PyThreadState_declare
#endif
    PyObject *exc;
    PyObject *exc_type = async ? PyExc_StopAsyncIteration : PyExc_StopIteration;
#if CYTHON_COMPILING_IN_CPYTHON
    if ((PY_VERSION_HEX >= (0x030C00A6)) || unlikely(PyTuple_Check(value) || PyExceptionInstance_Check(value))) {
        if (PY_VERSION_HEX >= (0x030e00A1)) {
            exc = __Pyx_PyObject_CallOneArg(exc_type, value);
        } else {
            PyObject *args_tuple = PyTuple_New(1);
            if (unlikely(!args_tuple)) return;
            Py_INCREF(value);
            PyTuple_SET_ITEM(args_tuple, 0, value);
            exc = PyObject_Call(exc_type, args_tuple, NULL);
            Py_DECREF(args_tuple);
        }
        if (unlikely(!exc)) return;
    } else {
        Py_INCREF(value);
        exc = value;
    }
    #if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    #if CYTHON_USE_EXC_INFO_STACK
    if (!__pyx_tstate->exc_info->exc_value)
    #else
    if (!__pyx_tstate->exc_type)
    #endif
    {
        Py_INCREF(exc_type);
        __Pyx_ErrRestore(exc_type, exc, NULL);
        return;
    }
    #endif
#else
    exc = __Pyx_PyObject_CallOneArg(exc_type, value);
    if (unlikely(!exc)) return;
#endif
    PyErr_SetObject(exc_type, exc);
    Py_DECREF(exc);
}

/* CoroutineBase (used by Generator) */
#if !CYTHON_COMPILING_IN_LIMITED_API
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6 && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#endif // CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void
__Pyx_Coroutine_Undelegate(__pyx_CoroutineObject *gen) {
#if CYTHON_USE_AM_SEND
    gen->yieldfrom_am_send = NULL;
#endif
    Py_CLEAR(gen->yieldfrom);
}
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    CYTHON_UNUSED_VAR(__pyx_tstate);
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
        else if (likely(Py_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
            value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
            if (unlikely(!value)) goto limited_api_failure;
            #else
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            #endif
            Py_DECREF(ev);
        }
        else if (unlikely(PyTuple_Check(ev))) {
            Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(ev);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely(tuple_size < 0)) {
                Py_XDECREF(tb);
                Py_DECREF(ev);
                Py_DECREF(et);
                return -1;
            }
            #endif
            if (tuple_size >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#elif CYTHON_ASSUME_SAFE_MACROS
                value = PySequence_ITEM(ev, 0);
#else
                value = PySequence_GetItem(ev, 0);
                if (!value) goto limited_api_failure;
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
#else
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
#endif
    Py_DECREF(ev);
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!value)) return -1;
#endif
    *pvalue = value;
    return 0;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL || !CYTHON_ASSUME_SAFE_MACROS
  limited_api_failure:
    Py_XDECREF(et);
    Py_XDECREF(tb);
    Py_XDECREF(ev);
    return -1;
#endif
}
static CYTHON_INLINE
__Pyx_PySendResult __Pyx_Coroutine_status_from_result(PyObject **retval) {
    if (*retval) {
        return PYGEN_NEXT;
    } else if (likely(__Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, retval) == 0)) {
        return PYGEN_RETURN;
    } else {
        return PYGEN_ERROR;
    }
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_CLEAR(exc_state->exc_value);
#else
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
#endif
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(__pyx_CoroutineObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
static void __Pyx_Coroutine_AlreadyTerminatedError(PyObject *gen, PyObject *value, int closing) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    CYTHON_MAYBE_UNUSED_VAR(closing);
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
__Pyx_PySendResult __Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, PyObject **result, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(__Pyx_Coroutine_get_is_running(self));  // Callers should ensure is_running
    if (unlikely(self->resume_label == -1)) {
        __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
        return PYGEN_ERROR;
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_value) {
        #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        #else
        PyObject *exc_tb;
        #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
        exc_tb = PyException_GetTraceback(exc_state->exc_value);
        #elif PY_VERSION_HEX >= 0x030B00a4
        exc_tb = ((PyBaseExceptionObject*) exc_state->exc_value)->traceback;
        #else
        exc_tb = exc_state->exc_traceback;
        #endif
        if (exc_tb) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
            #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
            Py_DECREF(exc_tb);
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    retval = self->body(self, tstate, value);
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    *result = retval;
    if (self->resume_label == -1) {
        return likely(retval) ? PYGEN_RETURN : PYGEN_ERROR;
    }
    return PYGEN_NEXT;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(exc_state);
#else
    PyObject *exc_tb;
    #if PY_VERSION_HEX >= 0x030B00a4
    if (!exc_state->exc_value) return;
    exc_tb = PyException_GetTraceback(exc_state->exc_value);
    #else
    exc_tb = exc_state->exc_traceback;
    #endif
    if (likely(exc_tb)) {
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
        #if PY_VERSION_HEX >= 0x030B00a4
        Py_DECREF(exc_tb);
        #endif
    }
#endif
}
#define __Pyx_Coroutine_MethodReturnFromResult(gen, result, retval, iternext)\
    ((result) == PYGEN_NEXT ? (retval) : __Pyx__Coroutine_MethodReturnFromResult(gen, result, retval, iternext))
static PyObject *
__Pyx__Coroutine_MethodReturnFromResult(PyObject* gen, __Pyx_PySendResult result, PyObject *retval, int iternext) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (likely(result == PYGEN_RETURN)) {
        int is_async = 0;
        #ifdef __Pyx_AsyncGen_USED
        is_async = __Pyx_AsyncGen_CheckExact(gen);
        #endif
        __Pyx_ReturnWithStopIteration(retval, is_async, iternext);
        Py_XDECREF(retval);
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
#if PY_VERSION_HEX < 0x030d00A1
            _PyGen_SetStopIterationValue(result);
#else
            if (!PyTuple_Check(result) && !PyExceptionInstance_Check(result)) {
                PyErr_SetObject(PyExc_StopIteration, result);
            } else {
                PyObject *exc = __Pyx_PyObject_CallOneArg(PyExc_StopIteration, result);
                if (likely(exc != NULL)) {
                    PyErr_SetObject(PyExc_StopIteration, exc);
                    Py_DECREF(exc);
                }
            }
#endif
        }
        Py_DECREF(result);
        result = NULL;
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE __Pyx_PySendResult
__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen, PyObject** retval) {
    __Pyx_PySendResult result;
    PyObject *val = NULL;
    assert(__Pyx_Coroutine_get_is_running(gen));
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    result = __Pyx_Coroutine_SendEx(gen, val, retval, 0);
    Py_XDECREF(val);
    return result;
}
#if CYTHON_USE_AM_SEND
static __Pyx_PySendResult
__Pyx_Coroutine_SendToDelegate(__pyx_CoroutineObject *gen, __Pyx_pyiter_sendfunc gen_am_send, PyObject *value, PyObject **retval) {
    PyObject *ret = NULL;
    __Pyx_PySendResult delegate_result, result;
    assert(__Pyx_Coroutine_get_is_running(gen));
    delegate_result = gen_am_send(gen->yieldfrom, value, &ret);
    if (delegate_result == PYGEN_NEXT) {
        assert (ret != NULL);
        *retval = ret;
        return PYGEN_NEXT;
    }
    assert (delegate_result != PYGEN_ERROR || ret == NULL);
    __Pyx_Coroutine_Undelegate(gen);
    result = __Pyx_Coroutine_SendEx(gen, ret, retval, 0);
    Py_XDECREF(ret);
    return result;
}
#endif
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval = NULL;
    __Pyx_PySendResult result = __Pyx_Coroutine_AmSend(self, value, &retval);
    return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
}
static __Pyx_PySendResult
__Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval) {
    __Pyx_PySendResult result;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
        return PYGEN_ERROR;
    }
    #if CYTHON_USE_AM_SEND
    if (gen->yieldfrom_am_send) {
        result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, value, retval);
    } else
    #endif
    if (gen->yieldfrom) {
        PyObject *yf = gen->yieldfrom;
        PyObject *ret;
      #if !CYTHON_USE_AM_SEND
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
      #endif
        {
            if (value == Py_None && PyIter_Check(yf))
                ret = __Pyx_PyIter_Next_Plain(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_mstate_global->__pyx_n_u_send, value);
        }
        if (likely(ret)) {
            __Pyx_Coroutine_unset_is_running(gen);
            *retval = ret;
            return PYGEN_NEXT;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, retval);
    } else {
        result = __Pyx_Coroutine_SendEx(gen, value, retval, 0);
    }
    __Pyx_Coroutine_unset_is_running(gen);
    return result;
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    __Pyx_PySendResult result;
    PyObject *retval = NULL;
    CYTHON_UNUSED_VAR(gen);
    assert(__Pyx_Coroutine_get_is_running(gen));
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        result = __Pyx_Coroutine_Close(yf, &retval);
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        result = __Pyx_Coroutine_Close(yf, &retval);
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        result = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf);
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
        result = PYGEN_RETURN;
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
        result = PYGEN_RETURN;
    } else
    #endif
    {
        PyObject *meth;
        result = PYGEN_RETURN;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_mstate_global->__pyx_n_u_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval)) {
                result = PYGEN_ERROR;
            }
        }
    }
    Py_XDECREF(retval);
    return result == PYGEN_ERROR ? -1 : 0;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __Pyx_PySendResult result;
    PyObject *retval = NULL;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    }
    #if CYTHON_USE_AM_SEND
    if (gen->yieldfrom_am_send) {
        result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, Py_None, &retval);
    } else
    #endif
    if (gen->yieldfrom) {
        PyObject *yf = gen->yieldfrom;
        PyObject *ret;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && (PY_VERSION_HEX < 0x030A00A3 || !CYTHON_USE_AM_SEND)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
            ret = __Pyx_PyIter_Next_Plain(yf);
        if (likely(ret)) {
            __Pyx_Coroutine_unset_is_running(gen);
            return ret;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, &retval);
    } else {
        result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
    }
    __Pyx_Coroutine_unset_is_running(gen);
    return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 1);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    PyObject *retval = NULL;
    __Pyx_PySendResult result;
    CYTHON_UNUSED_VAR(arg);
    result = __Pyx_Coroutine_Close(self, &retval);
    if (unlikely(result == PYGEN_ERROR))
        return NULL;
    Py_XDECREF(retval);
    Py_RETURN_NONE;
}
static __Pyx_PySendResult
__Pyx_Coroutine_Close(PyObject *self, PyObject **retval) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PySendResult result;
    PyObject *yf;
    int err = 0;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
        return PYGEN_ERROR;
    }
    yf = gen->yieldfrom;
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    result = __Pyx_Coroutine_SendEx(gen, NULL, retval, 1);
    if (result == PYGEN_ERROR) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        __Pyx_Coroutine_unset_is_running(gen);
        if (!__Pyx_PyErr_Occurred()) {
            return PYGEN_RETURN;
        } else if (likely(__Pyx_PyErr_ExceptionMatches2(PyExc_GeneratorExit, PyExc_StopIteration))) {
            __Pyx_PyErr_Clear();
            return PYGEN_RETURN;
        }
        return PYGEN_ERROR;
    } else if (likely(result == PYGEN_RETURN && *retval == Py_None)) {
        __Pyx_Coroutine_unset_is_running(gen);
        return PYGEN_RETURN;
    } else {
        const char *msg;
        Py_DECREF(*retval);
        *retval = NULL;
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
            msg = "async generator ignored GeneratorExit";
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        __Pyx_Coroutine_unset_is_running(gen);
        return PYGEN_ERROR;
    }
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen)))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    yf = gen->yieldfrom;
    if (yf) {
        __Pyx_PySendResult result;
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                goto propagate_exception;
            goto throw_here;
        }
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_mstate_global->__pyx_n_u_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    __Pyx_Coroutine_unset_is_running(gen);
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                goto throw_here;
            }
            if (args) {
                ret = __Pyx_PyObject_Call(meth, args, NULL);
            } else {
                PyObject *cargs[4] = {NULL, typ, val, tb};
                size_t nargs = 1U + (val != NULL) + (tb != NULL);
                ret = __Pyx_PyObject_FastCall(meth, cargs+1, nargs | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
            }
            Py_DECREF(meth);
        }
        Py_DECREF(yf);
        if (ret) {
            __Pyx_Coroutine_unset_is_running(gen);
            return ret;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, &ret);
        __Pyx_Coroutine_unset_is_running(gen);
        return __Pyx_Coroutine_MethodReturnFromResult(self, result, ret, 0);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
propagate_exception:
    {
        PyObject *retval = NULL;
        __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, NULL, &retval, 0);
        __Pyx_Coroutine_unset_is_running(gen);
        return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
    }
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self,
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    PyObject *args
#else
    PyObject *const *args, Py_ssize_t nargs
#endif
) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    if (unlikely(!PyArg_UnpackTuple(args, "throw", 1, 3, &typ, &val, &tb)))
        return NULL;
#else
    switch (nargs) {
    case 3:
        tb = args[2];
        CYTHON_FALLTHROUGH;
    case 2:
        val = args[1];
        CYTHON_FALLTHROUGH;
    case 1:
        typ = args[0];
        break;
    default:
        PyErr_SetString(PyExc_TypeError, "throw takes between 1 and 3 positional arguments");
        return NULL;
    }
#endif
    return __Pyx__Coroutine_Throw(self, typ, val, tb,
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
                                  args,
#else
                                  NULL,
#endif
                                  1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_VISIT(exc_state->exc_value);
#else
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
#endif
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    {
        int e = __Pyx_call_type_traverse((PyObject*)gen, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    if (gen->gi_weakreflist != NULL)
    #endif
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
#if CYTHON_USE_TP_FINALIZE
        PyObject_GC_Track(self);
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
        {
            return;
        }
        PyObject_GC_UnTrack(self);
#endif
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    __Pyx_PyHeapTypeObject_GC_Del(gen);
}
#if CYTHON_USE_TP_FINALIZE
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *retval = NULL;
        __Pyx_PySendResult result = __Pyx_Coroutine_Close(self, &retval);
        if (result == PYGEN_ERROR) {
            PyErr_WriteUnraisable(self);
        } else {
            Py_XDECREF(retval);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
}
#endif
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_name;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_name, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_qualname;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_qualname, value);
    return 0;
}
#if !CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx__Coroutine_get_frame_locked(__pyx_CoroutineObject *self) {
    PyObject *frame;
    frame = self->gi_frame;
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        PyObject *globals = PyDict_New();
        if (unlikely(!globals)) return NULL;
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            globals,                        /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        Py_DECREF(globals);
        if (unlikely(!frame))
            return NULL;
        if (unlikely(self->gi_frame)) {
            Py_DECREF(frame);
            frame = self->gi_frame;
        } else {
            self->gi_frame = frame;
        }
    }
    Py_INCREF(frame);
    return frame;
}
#endif
static PyObject *
__Pyx__Coroutine_get_frame(__pyx_CoroutineObject *self)
{
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyObject *frame;
    __Pyx_BEGIN_CRITICAL_SECTION((PyObject*)self);
    frame = __Pyx__Coroutine_get_frame_locked(self);
    __Pyx_END_CRITICAL_SECTION();
    return frame;
#else
    CYTHON_UNUSED_VAR(self);
    Py_RETURN_NONE;
#endif
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context) {
    CYTHON_UNUSED_VAR(context);
    PyObject *frame = self->gi_frame;
    if (frame)
        return __Pyx_NewRef(frame);
    return __Pyx__Coroutine_get_frame(self);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->yieldfrom_am_send = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_LIMITED_API
    gen->gi_exc_state.exc_value = NULL;
    #else
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
    #endif
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    gen->gi_weakreflist = NULL;
#endif
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
#if CYTHON_USE_SYS_MONITORING && (CYTHON_PROFILE || CYTHON_TRACE)
    memset(gen->__pyx_pymonitoring_state, 0, sizeof(gen->__pyx_pymonitoring_state));
    gen->__pyx_pymonitoring_version = 0;
#endif
    PyObject_GC_Track(gen);
    return gen;
}
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen) {
    char result;
    __Pyx_BEGIN_CRITICAL_SECTION((PyObject*)gen);
    result = gen->is_running;
    gen->is_running = 1;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen) {
    __Pyx_BEGIN_CRITICAL_SECTION((PyObject*)gen);
    assert(gen->is_running);
    gen->is_running = 0;
    __Pyx_END_CRITICAL_SECTION();
}
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen) {
    char result;
    __Pyx_BEGIN_CRITICAL_SECTION((PyObject*)gen);
    result = gen->is_running;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure) {
    CYTHON_UNUSED_VAR(closure);
    char result = __Pyx_Coroutine_get_is_running((__pyx_CoroutineObject*)gen);
    if (result) Py_RETURN_TRUE;
    else Py_RETURN_FALSE;
}
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send) {
    Py_ssize_t ptr_offset = (char*)(type->tp_as_async) - (char*)type;
    if (ptr_offset < 0 || ptr_offset > type->tp_basicsize) {
        return;
    }
    memcpy((void*)static_amsend_methods, (void*)(type->tp_as_async), sizeof(*type->tp_as_async));
    static_amsend_methods->am_send = am_send;
    type->tp_as_async = __Pyx_SlotTpAsAsync(static_amsend_methods);
}
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    __Pyx_RaiseTypeErrorWithObjectType(
        "cannot pickle '" __Pyx_FMT_TYPENAME "' object", self);
    return NULL;
}

/* Generator (used by GeneratorYieldFrom) */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_Coroutine_Throw),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
        METH_VARARGS,
#else
        METH_FASTCALL,
#endif
     PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {"__reduce_ex__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_O, 0},
    {"__reduce__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_NOARGS, 0},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {"gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     PyDoc_STR("object being iterated by 'yield from', or None")},
    {"gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {"__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {"__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     PyDoc_STR("name of the generator"), 0},
    {"__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     PyDoc_STR("qualified name of the generator"), 0},
    {"gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     PyDoc_STR("Frame of the generator"), 0},
    {"gi_running", __Pyx_Coroutine_get_is_running_getter, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_GeneratorType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_Coroutine_dealloc},
    {Py_tp_traverse, (void *)__Pyx_Coroutine_traverse},
    {Py_tp_iter, (void *)PyObject_SelfIter},
    {Py_tp_iternext, (void *)__Pyx_Generator_Next},
    {Py_tp_methods, (void *)__pyx_Generator_methods},
    {Py_tp_members, (void *)__pyx_Generator_memberlist},
    {Py_tp_getset, (void *)__pyx_Generator_getsets},
    {Py_tp_getattro, (void *) PyObject_GenericGetAttr},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    {Py_am_send, (void *)__Pyx_Coroutine_AmSend},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_TPFLAGS_MANAGED_WEAKREF |
#endif
    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | __Pyx_TPFLAGS_HAVE_AM_SEND,
    __pyx_GeneratorType_slots
};
#if __PYX_HAS_PY_AM_SEND == 2
static __Pyx_PyAsyncMethodsStruct __pyx_Generator_as_async;
#endif
static int __pyx_Generator_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_GeneratorType_spec, NULL);
    if (unlikely(!mstate->__pyx_GeneratorType)) {
        return -1;
    }
#if __PYX_HAS_PY_AM_SEND == 2
    __Pyx_SetBackportTypeAmSend(mstate->__pyx_GeneratorType, &__pyx_Generator_as_async, &__Pyx_Coroutine_AmSend);
#endif
    return 0;
}
static PyObject *__Pyx_Generator_GetInlinedResult(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *retval = NULL;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    }
    __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
    __Pyx_Coroutine_unset_is_running(gen);
    (void) result;
    assert (result == PYGEN_RETURN || result == PYGEN_ERROR);
    assert ((result == PYGEN_RETURN && retval != NULL) || (result == PYGEN_ERROR && retval == NULL));
    return retval;
}

/* GeneratorYieldFrom */
#if CYTHON_USE_TYPE_SLOTS
static void __Pyx_PyIter_CheckErrorAndDecref(PyObject *source) {
    __Pyx_RaiseTypeErrorWithObjectType(
        "iter() returned non-iterator of type '" __Pyx_FMT_TYPENAME "'", source);
    Py_DECREF(source);
}
#endif
static CYTHON_INLINE __Pyx_PySendResult __Pyx_Generator_Yield_From(__pyx_CoroutineObject *gen, PyObject *source, PyObject **retval) {
    PyObject *source_gen;
    __Pyx_PySendResult result;
#ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(source)) {
        Py_INCREF(source);
        source_gen = source;
        result = __Pyx_Coroutine_AmSend(source, Py_None, retval);
    } else
#endif
    {
#if CYTHON_USE_TYPE_SLOTS
        if (likely(Py_TYPE(source)->tp_iter)) {
            source_gen = Py_TYPE(source)->tp_iter(source);
            if (unlikely(!source_gen)) {
                *retval = NULL;
                return PYGEN_ERROR;
            }
            if (unlikely(!PyIter_Check(source_gen))) {
                __Pyx_PyIter_CheckErrorAndDecref(source_gen);
                *retval = NULL;
                return PYGEN_ERROR;
            }
        } else
#endif
        {
            source_gen = PyObject_GetIter(source);
            if (unlikely(!source_gen)) {
                *retval = NULL;
                return PYGEN_ERROR;
            }
        }
        *retval = __Pyx_PyIter_Next_Plain(source_gen);
        result = __Pyx_Coroutine_status_from_result(retval);
    }
    if (likely(result == PYGEN_NEXT)) {
        __Pyx_Coroutine_Set_Owned_Yield_From(gen, source_gen);
        return PYGEN_NEXT;
    }
    Py_DECREF(source_gen);
    return result;
}

/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_mstate_global->__pyx_n_u_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

/* pybuiltin_invalid (used by pyint_simplify) */
static void __Pyx_PyBuiltin_Invalid(PyObject *obj, const char *builtin_type_name, const char *argname) {
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!obj_type_name)) return;
    #endif
    if (argname) {
        PyErr_Format(PyExc_TypeError,
            "Argument '%.200s' has incorrect type (expected %.5s, got " __Pyx_FMT_TYPENAME ")",
            argname, builtin_type_name, obj_type_name
        );
    } else {
        PyErr_Format(PyExc_TypeError,
            "Expected %.5s, got " __Pyx_FMT_TYPENAME,
            builtin_type_name, obj_type_name
        );
    }
    __Pyx_DECREF_TypeName(obj_type_name);
}

/* pyint_simplify */
static int __Pyx__PyInt_FromNumber(PyObject **number_var, const char *argname);
static CYTHON_INLINE int __Pyx_PyInt_FromNumber(PyObject **number_var, const char *argname, int accept_none) {
    PyObject *number = *number_var;
    if (likely((accept_none && number == Py_None) || PyLong_CheckExact(number))) {
        return 0;
    }
    return __Pyx__PyInt_FromNumber(number_var, argname);
}
static int __Pyx__PyInt_FromNumber(PyObject **number_var, const char *argname) {
    PyObject *number = *number_var;
    PyObject *int_object;
    if (likely(PyNumber_Check(number))) {
        int_object = PyNumber_Long(number);
        if (unlikely(!int_object)) goto bad;
    } else {
        __Pyx_PyBuiltin_Invalid(number, "int", argname);
        goto bad;
    }
    *number_var = int_object;
    Py_DECREF(number);
    return 0;
bad:
    *number_var = NULL;
    Py_DECREF(number);
    return -1;
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    long a;
    const PY_LONG_LONG llb = intval;
    PY_LONG_LONG lla;
    if (unlikely(__Pyx_PyLong_IsZero(op1))) {
        return __Pyx_NewRef(op2);
    }
    const int is_positive = __Pyx_PyLong_IsPos(op1);
    const digit* digits = __Pyx_PyLong_Digits(op1);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
    if (likely(size == 1)) {
        a = (long) digits[0];
        if (!is_positive) a *= -1;
    } else {
        if (size == 2 && 8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
            a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) a *= -1;
            goto calculate_long;
        } else if (size == 2 && 8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
            lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) lla *= -1;
            goto calculate_long_long;
        } else
        if (size == 3 && 8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
            a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) a *= -1;
            goto calculate_long;
        } else if (size == 3 && 8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
            lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) lla *= -1;
            goto calculate_long_long;
        } else
        if (size == 4 && 8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
            a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) a *= -1;
            goto calculate_long;
        } else if (size == 4 && 8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
            lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) lla *= -1;
            goto calculate_long_long;
        } else
        {}
        return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    calculate_long:
        {
            long x;
            x = a + b;
            return PyLong_FromLong(x);
        }
    calculate_long_long:
        {
            PY_LONG_LONG llx;
            llx = lla + llb;
            return PyLong_FromLongLong(llx);
        }
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_AddObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) + (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_AddObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_AddObjC(op1, op2, inplace);
}
#endif

/* py_abs */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
#if PY_VERSION_HEX >= 0x030C00A7
    if (likely(__Pyx_PyLong_IsCompact(n))) {
        return PyLong_FromSize_t(__Pyx_PyLong_CompactValueUnsigned(n));
    }
#else
    if (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromUnsignedLong(__Pyx_PyLong_Digits(n)[0]);
    }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            #if PY_VERSION_HEX >= 0x030C00A7
            ((PyLongObject*)copy)->long_value.lv_tag ^= ((PyLongObject*)copy)->long_value.lv_tag & _PyLong_SIGN_MASK;
            #else
            Py_SET_SIZE(copy, -Py_SIZE(copy));
            #endif
        }
        return copy;
    }
#else
    return PyNumber_Negative(n);
#endif
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolLt
#define __Pyx_DEFINED_PyObject_CompareStrStrBoolLt
static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolLt(PyObject* s1, PyObject* s2) {
    int result = PyUnicode_Compare(s1, s2);
    if (unlikely((result == -1) && PyErr_Occurred())) return -1;
    if (result < 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesBoolLt
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesBoolLt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyBytesPyBytesBoolLt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyBytes_GET_SIZE(s1);
    length2 = __Pyx_PyBytes_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length1) == -1)) return -1;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyByteArrayBoolLt
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyByteArrayBoolLt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyBytesPyByteArrayBoolLt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyBytes_GET_SIZE(s1);
    length2 = __Pyx_PyByteArray_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyByteArray_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length1) == -1)) return -1;
    ps2 = __Pyx_PyByteArray_AsString(s2); if (unlikely(!ps2)) return -1;
    length2 = __Pyx_PyByteArray_GET_SIZE(s2); if (unlikely(length2 == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesBoolLt
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesBoolLt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyByteArrayPyBytesBoolLt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1);
    length2 = __Pyx_PyBytes_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return -1;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length1 == -1)) return -1;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyByteArrayBoolLt
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyByteArrayBoolLt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyByteArrayPyByteArrayBoolLt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1);
    length2 = __Pyx_PyByteArray_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyByteArray_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return -1;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length1 == -1)) return -1;
    ps2 = __Pyx_PyByteArray_AsString(s2); if (unlikely(!ps2)) return -1;
    length2 = __Pyx_PyByteArray_GET_SIZE(s2); if (unlikely(length2 == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolLt
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolLt
static int __Pyx_PyObject_CompareFloatIntBoolLt(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 < ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 < 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign2 > 0) goto __pyx_return_true;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 < 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 < ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntFloatBoolLt
#define __Pyx_DEFINED_PyObject_CompareIntFloatBoolLt
static int __Pyx_PyObject_CompareIntFloatBoolLt(PyObject *op1, PyObject *op2) {
    double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op1)) {
        Py_ssize_t iop1 = __Pyx_PyLong_CompactValue(op1);
        if (((double)iop1) < float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 < float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign1 = __Pyx_PyLong_Sign(op1);
        if (float_op2 >= 0.) {
            if (sign1 < 0) goto __pyx_return_true;
            if (float_op2 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign1 > 0) goto __pyx_return_false;
            if (float_op2 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        }
    }
    #else
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 < float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow1;
        long iop1 = PyLong_AsLongAndOverflow(op1, &overflow1);
        if (likely(!overflow1)) {
            if ((long long) iop1 >= (1LL << 53)) {
                overflow1 = 1;
            } else if ((long long) iop1 <= - (1LL << 53)) {
                overflow1 = -1;
            } else {
                if (((double) iop1) < float_op2) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow1 < 0) {
            if (float_op2 > ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op2 < - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolLt
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolLt
static int __Pyx_PyObject_CompareIntIntBoolLt(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_false;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 < iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 < overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLt_object_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (PyFloat_CheckExact(op1)) {
        if (PyFloat_CheckExact(op2)) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 < float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareFloatIntBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntIntBoolLt(op1, op2);
        }
        if (PyFloat_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntFloatBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    if (PyUnicode_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyUnicode_CheckExact(op2)) {
            return __Pyx_PyObject_CompareStrStrBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (PyBytes_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyBytes_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyBytesPyBytesBoolLt(op1, op2);
        }
        if (PyByteArray_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyBytesPyByteArrayBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (PyByteArray_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyByteArray_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyByteArrayPyByteArrayBoolLt(op1, op2);
        }
        if (PyBytes_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyByteArrayPyBytesBoolLt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
            goto digits_done;
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
            goto digits_done;
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
            if (size <= 2 && (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53)))) {
                a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
            if (size <= 3 && (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53)))) {
                a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
            if (size <= 4 && (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53)))) {
                a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
        }
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
#if CYTHON_USE_PYLONG_INTERNALS
digits_done:;
#endif
        double result;
        result = a / b;
        return PyFloat_FromDouble(result);
}
#endif

/* pybytes_as_double (used by pynumber_float) */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj) {
    PyObject *float_value = PyFloat_FromString(obj);
    if (likely(float_value)) {
        double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
    return (double)-1;
}
static const char* __Pyx__PyBytes_AsDouble_Copy(const char* start, char* buffer, Py_ssize_t length) {
    int last_was_punctuation = 1;
    int parse_error_found = 0;
    Py_ssize_t i;
    for (i=0; i < length; i++) {
        char chr = start[i];
        int is_punctuation = (chr == '_') | (chr == '.') | (chr == 'e') | (chr == 'E');
        *buffer = chr;
        buffer += (chr != '_');
        parse_error_found |= last_was_punctuation & is_punctuation;
        last_was_punctuation = is_punctuation;
    }
    parse_error_found |= last_was_punctuation;
    *buffer = '\0';
    return unlikely(parse_error_found) ? NULL : buffer;
}
static double __Pyx__PyBytes_AsDouble_inf_nan(const char* start, Py_ssize_t length) {
    int matches = 1;
    char sign = start[0];
    int is_signed = (sign == '+') | (sign == '-');
    start += is_signed;
    length -= is_signed;
    switch (start[0]) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            matches &= (start[1] == 'a' || start[1] == 'A');
            matches &= (start[2] == 'n' || start[2] == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            matches &= (start[1] == 'n' || start[1] == 'N');
            matches &= (start[2] == 'f' || start[2] == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            matches &= (start[3] == 'i' || start[3] == 'I');
            matches &= (start[4] == 'n' || start[4] == 'N');
            matches &= (start[5] == 'i' || start[5] == 'I');
            matches &= (start[6] == 't' || start[6] == 'T');
            matches &= (start[7] == 'y' || start[7] == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static CYTHON_INLINE int __Pyx__PyBytes_AsDouble_IsSpace(char ch) {
    return (ch == 0x20) | !((ch < 0x9) | (ch > 0xd));
}
CYTHON_UNUSED static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length) {
    double value;
    Py_ssize_t i, digits;
    const char *last = start + length;
    char *end;
    int valid_parse;
    while (__Pyx__PyBytes_AsDouble_IsSpace(*start))
        start++;
    while (start < last - 1 && __Pyx__PyBytes_AsDouble_IsSpace(last[-1]))
        last--;
    length = last - start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyBytes_AsDouble_inf_nan(start, length);
    if (value != 0.0) {
        if (unlikely(value == -1.0)) goto fallback;
        return value;
    }
    digits = 0;
    for (i=0; i < length; digits += start[i++] != '_');
    if (likely(digits == length)) {
        value = PyOS_string_to_double(start, &end, NULL);
        valid_parse = (end == last);
    } else if (digits < 40) {
        char number[40];
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
    } else {
        char *number = (char*) PyMem_Malloc(((size_t) digits + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
        PyMem_Free(number);
    }
    if (likely(valid_parse) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}

/* pynumber_float */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj) {
    double val;
    if (PyLong_CheckExact(obj)) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (likely(__Pyx_PyLong_IsCompact(obj))) {
            val = (double) __Pyx_PyLong_CompactValue(obj);
            goto no_error;
        }
#endif
        val = PyLong_AsDouble(obj);
    } else if (PyUnicode_CheckExact(obj)) {
        val = __Pyx_PyUnicode_AsDouble(obj);
    } else if (PyBytes_CheckExact(obj)) {
        val = __Pyx_PyBytes_AsDouble(obj);
    } else if (PyByteArray_CheckExact(obj)) {
        val = __Pyx_PyByteArray_AsDouble(obj);
    } else {
        return PyNumber_Float(obj);
    }
    if (unlikely(val == -1 && PyErr_Occurred())) {
        return NULL;
    }
#if CYTHON_USE_PYLONG_INTERNALS
no_error:
#endif
    return PyFloat_FromDouble(val);
}

/* pyfloat_simplify */
static int __Pyx__PyFloat_FromNumber(PyObject **number_var, const char *argname);
static CYTHON_INLINE int __Pyx_PyFloat_FromNumber(PyObject **number_var, const char *argname, int accept_none) {
    PyObject *number = *number_var;
    if (likely((accept_none && number == Py_None) || PyFloat_CheckExact(number))) {
        return 0;
    }
    return __Pyx__PyFloat_FromNumber(number_var, argname);
}
static int __Pyx__PyFloat_FromNumber(PyObject **number_var, const char *argname) {
    PyObject *number = *number_var;
    PyObject *float_object;
    if (likely(PyLong_CheckExact(number))) {
        double val;
#if CYTHON_USE_PYLONG_INTERNALS
        if (likely(__Pyx_PyLong_IsCompact(number))) {
            val = (double) __Pyx_PyLong_CompactValue(number);
        } else
#endif
        {
            val = PyLong_AsDouble(number);
            if (unlikely(val == -1.0 && PyErr_Occurred())) goto bad;
        }
        float_object = PyFloat_FromDouble(val);
    }
    else if (PyNumber_Check(number)) {
        float_object = PyNumber_Float(number);
    } else {
        __Pyx_PyBuiltin_Invalid(number, "float", argname);
        goto bad;
    }
    if (unlikely(!float_object)) goto bad;
    *number_var = float_object;
    Py_DECREF(number);
    return 0;
bad:
    *number_var = NULL;
    Py_DECREF(number);
    return -1;
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static int __Pyx_PyFloat_BoolEqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (op1 == op2) {
        return 1;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
            goto digits_done;
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
            goto digits_done;
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
            if (size <= 2 && (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53)))) {
                a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
            if (size <= 3 && (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53)))) {
                a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
            if (size <= 4 && (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53)))) {
                a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
        }
        #endif
        {
                PyObject *res =
            #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
                    __Pyx_PyType_GetSlot((&PyFloat_Type), tp_richcompare, richcmpfunc)
            #else
                    PyObject_RichCompare
            #endif
                (op2, op1,
                    Py_EQ);
                return __Pyx_PyObject_IsTrueAndDecref(res);
        }
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
    }
#if CYTHON_USE_PYLONG_INTERNALS
digits_done:;
#endif
        if (a == b) {
            return 1;
        } else {
            return 0;
        }
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolLe
#define __Pyx_DEFINED_PyObject_CompareStrStrBoolLe
static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolLe(PyObject* s1, PyObject* s2) {
    int result = PyUnicode_Compare(s1, s2);
    if (unlikely((result == -1) && PyErr_Occurred())) return -1;
    if (result <= 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesBoolLe
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesBoolLe
static CYTHON_INLINE int __Pyx_PyObject_ComparePyBytesPyBytesBoolLe(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyBytes_GET_SIZE(s1);
    length2 = __Pyx_PyBytes_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length1) == -1)) return -1;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp <= 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyByteArrayBoolLe
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyByteArrayBoolLe
static CYTHON_INLINE int __Pyx_PyObject_ComparePyBytesPyByteArrayBoolLe(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyBytes_GET_SIZE(s1);
    length2 = __Pyx_PyByteArray_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyByteArray_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length1) == -1)) return -1;
    ps2 = __Pyx_PyByteArray_AsString(s2); if (unlikely(!ps2)) return -1;
    length2 = __Pyx_PyByteArray_GET_SIZE(s2); if (unlikely(length2 == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp <= 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesBoolLe
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesBoolLe
static CYTHON_INLINE int __Pyx_PyObject_ComparePyByteArrayPyBytesBoolLe(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1);
    length2 = __Pyx_PyBytes_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return -1;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length1 == -1)) return -1;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp <= 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyByteArrayBoolLe
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyByteArrayBoolLe
static CYTHON_INLINE int __Pyx_PyObject_ComparePyByteArrayPyByteArrayBoolLe(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1);
    length2 = __Pyx_PyByteArray_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyByteArray_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return -1;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length1 == -1)) return -1;
    ps2 = __Pyx_PyByteArray_AsString(s2); if (unlikely(!ps2)) return -1;
    length2 = __Pyx_PyByteArray_GET_SIZE(s2); if (unlikely(length2 == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp <= 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolLe
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolLe
static int __Pyx_PyObject_CompareFloatIntBoolLe(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 <= ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 <= 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign2 > 0) goto __pyx_return_true;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 <= 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 <= ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntFloatBoolLe
#define __Pyx_DEFINED_PyObject_CompareIntFloatBoolLe
static int __Pyx_PyObject_CompareIntFloatBoolLe(PyObject *op1, PyObject *op2) {
    double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op1)) {
        Py_ssize_t iop1 = __Pyx_PyLong_CompactValue(op1);
        if (((double)iop1) <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign1 = __Pyx_PyLong_Sign(op1);
        if (float_op2 >= 0.) {
            if (sign1 < 0) goto __pyx_return_true;
            if (float_op2 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign1 > 0) goto __pyx_return_false;
            if (float_op2 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        }
    }
    #else
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow1;
        long iop1 = PyLong_AsLongAndOverflow(op1, &overflow1);
        if (likely(!overflow1)) {
            if ((long long) iop1 >= (1LL << 53)) {
                overflow1 = 1;
            } else if ((long long) iop1 <= - (1LL << 53)) {
                overflow1 = -1;
            } else {
                if (((double) iop1) <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow1 < 0) {
            if (float_op2 > ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op2 < - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolLe
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolLe
static int __Pyx_PyObject_CompareIntIntBoolLe(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_true;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 <= iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 <= overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_object_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (PyFloat_CheckExact(op1)) {
        if (PyFloat_CheckExact(op2)) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareFloatIntBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntIntBoolLe(op1, op2);
        }
        if (PyFloat_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntFloatBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    if (PyUnicode_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        if (PyUnicode_CheckExact(op2)) {
            return __Pyx_PyObject_CompareStrStrBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (PyBytes_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        if (PyBytes_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyBytesPyBytesBoolLe(op1, op2);
        }
        if (PyByteArray_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyBytesPyByteArrayBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (PyByteArray_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        if (PyByteArray_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyByteArrayPyByteArrayBoolLe(op1, op2);
        }
        if (PyBytes_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyByteArrayPyBytesBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolGt
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolGt
static int __Pyx_PyObject_CompareFloatIntBoolGt(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 > ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 > 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_true;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign2 > 0) goto __pyx_return_false;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 > 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 > ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_false;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_true;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolGt_float_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op1 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (likely(op1 != Py_None)) {
        if (likely(PyFloat_CheckExact(op2))) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 > float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareFloatIntBoolGt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    long b;
    const PY_LONG_LONG lla = intval;
    PY_LONG_LONG llb;
    if (unlikely(__Pyx_PyLong_IsZero(op2))) {
        return __Pyx_NewRef(op1);
    }
    const int is_positive = __Pyx_PyLong_IsPos(op2);
    const digit* digits = __Pyx_PyLong_Digits(op2);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op2);
    if (likely(size == 1)) {
        b = (long) digits[0];
        if (!is_positive) b *= -1;
    } else {
        if (size == 2 && 8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
            b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) b *= -1;
            goto calculate_long;
        } else if (size == 2 && 8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
            llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) llb *= -1;
            goto calculate_long_long;
        } else
        if (size == 3 && 8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
            b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) b *= -1;
            goto calculate_long;
        } else if (size == 3 && 8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
            llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) llb *= -1;
            goto calculate_long_long;
        } else
        if (size == 4 && 8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
            b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
            if (!is_positive) b *= -1;
            goto calculate_long;
        } else if (size == 4 && 8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
            llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
            if (!is_positive) llb *= -1;
            goto calculate_long_long;
        } else
        {}
        return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    calculate_long:
        {
            long x;
            x = a - b;
            return PyLong_FromLong(x);
        }
    calculate_long_long:
        {
            PY_LONG_LONG llx;
            llx = lla - llb;
            return PyLong_FromLongLong(llx);
        }
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_SubtractCObj(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) - (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        return __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        return __Pyx_Float___Pyx_PyLong_SubtractCObj(op2, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_SubtractCObj(op1, op2, inplace);
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolGt
#define __Pyx_DEFINED_PyObject_CompareStrStrBoolGt
static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolGt(PyObject* s1, PyObject* s2) {
    int result = PyUnicode_Compare(s1, s2);
    if (unlikely((result == -1) && PyErr_Occurred())) return -1;
    if (result > 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesBoolGt
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesBoolGt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyBytesPyBytesBoolGt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyBytes_GET_SIZE(s1);
    length2 = __Pyx_PyBytes_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length1) == -1)) return -1;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp > 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyByteArrayBoolGt
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyByteArrayBoolGt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyBytesPyByteArrayBoolGt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyBytes_GET_SIZE(s1);
    length2 = __Pyx_PyByteArray_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyByteArray_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length1) == -1)) return -1;
    ps2 = __Pyx_PyByteArray_AsString(s2); if (unlikely(!ps2)) return -1;
    length2 = __Pyx_PyByteArray_GET_SIZE(s2); if (unlikely(length2 == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp > 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesBoolGt
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesBoolGt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyByteArrayPyBytesBoolGt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1);
    length2 = __Pyx_PyBytes_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return -1;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length1 == -1)) return -1;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp > 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyByteArrayBoolGt
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyByteArrayBoolGt
static CYTHON_INLINE int __Pyx_PyObject_ComparePyByteArrayPyByteArrayBoolGt(PyObject* s1, PyObject* s2) {
    Py_ssize_t cmp;
    Py_ssize_t length1, length2, short_length;
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1);
    length2 = __Pyx_PyByteArray_GET_SIZE(s2);
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyByteArray_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return -1;
    length1 = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length1 == -1)) return -1;
    ps2 = __Pyx_PyByteArray_AsString(s2); if (unlikely(!ps2)) return -1;
    length2 = __Pyx_PyByteArray_GET_SIZE(s2); if (unlikely(length2 == -1)) return -1;
    short_length = (length1 < length2) ? length1 : length2;
    if (short_length == 0) {
        if (length1 == 0) goto __pyx_return_false; else goto __pyx_return_true;
    }
    #endif
    cmp = (Py_ssize_t) ((const unsigned char*) ps1)[0] - (Py_ssize_t) ((const unsigned char*) ps2)[0];
    if (cmp == 0 && short_length > 1) {
        cmp = memcmp(ps1, ps2, (size_t)short_length);
    }
    if (cmp == 0) cmp = (length1 - length2);
    if (cmp > 0) goto __pyx_return_true; else goto __pyx_return_false;
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolGt
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolGt
static int __Pyx_PyObject_CompareFloatIntBoolGt(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 > ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 > 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_true;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign2 > 0) goto __pyx_return_false;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 > 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 > ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_false;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_true;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntFloatBoolGt
#define __Pyx_DEFINED_PyObject_CompareIntFloatBoolGt
static int __Pyx_PyObject_CompareIntFloatBoolGt(PyObject *op1, PyObject *op2) {
    double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op1)) {
        Py_ssize_t iop1 = __Pyx_PyLong_CompactValue(op1);
        if (((double)iop1) > float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 > float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign1 = __Pyx_PyLong_Sign(op1);
        if (float_op2 >= 0.) {
            if (sign1 < 0) goto __pyx_return_false;
            if (float_op2 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign1 > 0) goto __pyx_return_true;
            if (float_op2 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 > float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow1;
        long iop1 = PyLong_AsLongAndOverflow(op1, &overflow1);
        if (likely(!overflow1)) {
            if ((long long) iop1 >= (1LL << 53)) {
                overflow1 = 1;
            } else if ((long long) iop1 <= - (1LL << 53)) {
                overflow1 = -1;
            } else {
                if (((double) iop1) > float_op2) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow1 < 0) {
            if (float_op2 > ((double) (1LL << 53))) goto __pyx_return_false;
        } else {
            if (float_op2 < - ((double) (1LL << 53))) goto __pyx_return_true;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolGt
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolGt
static int __Pyx_PyObject_CompareIntIntBoolGt(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_false;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    if (cmp < 0) goto __pyx_return_false; else goto __pyx_return_true;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 > iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 > overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GT);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolGt_object_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (PyFloat_CheckExact(op1)) {
        if (PyFloat_CheckExact(op2)) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 > float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareFloatIntBoolGt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntIntBoolGt(op1, op2);
        }
        if (PyFloat_CheckExact(op2)) {
            return __Pyx_PyObject_CompareIntFloatBoolGt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    if (PyUnicode_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyUnicode_CheckExact(op2)) {
            return __Pyx_PyObject_CompareStrStrBoolGt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (PyBytes_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyBytes_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyBytesPyBytesBoolGt(op1, op2);
        }
        if (PyByteArray_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyBytesPyByteArrayBoolGt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (PyByteArray_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_false;
        if (PyByteArray_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyByteArrayPyByteArrayBoolGt(op1, op2);
        }
        if (PyBytes_CheckExact(op2)) {
            return __Pyx_PyObject_ComparePyByteArrayPyBytesBoolGt(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_GT);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareIntFloatBoolLe
#define __Pyx_DEFINED_PyObject_CompareIntFloatBoolLe
static int __Pyx_PyObject_CompareIntFloatBoolLe(PyObject *op1, PyObject *op2) {
    double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op1)) {
        Py_ssize_t iop1 = __Pyx_PyLong_CompactValue(op1);
        if (((double)iop1) <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign1 = __Pyx_PyLong_Sign(op1);
        if (float_op2 >= 0.) {
            if (sign1 < 0) goto __pyx_return_true;
            if (float_op2 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign1 > 0) goto __pyx_return_false;
            if (float_op2 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        }
    }
    #else
    if (unlikely(!isfinite(float_op2))) {
        if (0.0 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow1;
        long iop1 = PyLong_AsLongAndOverflow(op1, &overflow1);
        if (likely(!overflow1)) {
            if ((long long) iop1 >= (1LL << 53)) {
                overflow1 = 1;
            } else if ((long long) iop1 <= - (1LL << 53)) {
                overflow1 = -1;
            } else {
                if (((double) iop1) <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow1 < 0) {
            if (float_op2 > ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op2 < - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_object_float(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        if (likely(op2 != Py_None)) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareIntFloatBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyObjectVectorcallKwds */
#if CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject *kwnames, Py_ssize_t i) {
    PyObject *key = __Pyx_PyTuple_GET_ITEM(kwnames, i);
#if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(!key)) return -1;
#endif
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return 0;
}
#else
CYTHON_UNUSED static PyObject *__Pyx_MakeKwargDict(PyObject **keys, PyObject **values, Py_ssize_t n) {
    PyObject *out = PyDict_New();
    if (unlikely(!out)) return NULL;
    for (Py_ssize_t i=0; i<n; ++i) {
        if (unlikely(PyDict_SetItem(out, keys[i], values[i]) < 0)) {
            Py_DECREF(out);
            return NULL;
        }
    }
    return out;
}
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject **kwnames, Py_ssize_t i) {
    PyObject *key = kwnames[i];
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return 0;
}
#endif

/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    switch (__Pyx_PyVectorcall_NARGS(nargsf)) {
        case 1:
            return PyObject_CallMethodObjArgs(args[0], name, NULL);
        case 2:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], NULL);
        case 3:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], args[2], NULL);
        case 4:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], args[2], args[3], NULL);
        case 5:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], args[2], args[3], args[4], NULL);
    }
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolLe
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolLe
static int __Pyx_PyObject_CompareFloatIntBoolLe(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 <= ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 <= 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign2 > 0) goto __pyx_return_true;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 <= 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 <= ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_float_object(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op1 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (likely(op1 != Py_None)) {
        if (likely(PyFloat_CheckExact(op2))) {
            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
            #endif
            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(float_op2 == -1. && PyErr_Occurred())) return -1;
            #endif
            if (float_op1 <= float_op2) goto __pyx_return_true; else goto __pyx_return_false;
        }
        if (PyLong_CheckExact(op2)) {
            return __Pyx_PyObject_CompareFloatIntBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolLe
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolLe
static int __Pyx_PyObject_CompareFloatIntBoolLe(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 <= ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 <= 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_true;
        } else {
            if (sign2 > 0) goto __pyx_return_true;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 <= 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 <= ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_true;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolLe
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolLe
static int __Pyx_PyObject_CompareIntIntBoolLe(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_true;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    if (cmp < 0) goto __pyx_return_true; else goto __pyx_return_false;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 <= iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 <= overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolLe_object_int(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        goto __pyx_richcmp;
    }
    if (op1 == op2) goto __pyx_return_true;
    if (PyFloat_CheckExact(op1)) {
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareFloatIntBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if (likely(PyLong_CheckExact(op1))) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareIntIntBoolLe(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_LE);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* RaiseClosureNameError */
static void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* CythonFunctionPerModule (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return __Pyx_as_CyFunctionObject(func)->func_methoddef->ml_meth == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
        int result;
        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
        if (unlikely(!newFunc)) {
            PyErr_Clear(); // It's only an optimization, so don't throw an error
            return 0;
        }
        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
        Py_DECREF(newFunc);
        return result;
    }
    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if (PyMethod_Check(func)) {
        func = PyMethod_GET_FUNCTION(func);
    }
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx__CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
    if (unlikely(!m->defaults))
        return NULL;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* PyMethodNew (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *result;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    {
        PyObject *args[] = {func, self};
        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
    }
    #else
    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
    #endif
    return result;
}
#else
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#endif

/* PyVectorcallFastCallDict (used by CythonFunctionShared) */
#if CYTHON_VECTORCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i;
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos;
    #else
    Py_ssize_t pos;
    #endif
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    #if !CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t nkw = PyDict_Size(kw);
    if (unlikely(nkw == -1)) return NULL;
    #else
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    #endif
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = 0;
    i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) {
        keys_are_strings &=
        #if CYTHON_COMPILING_IN_LIMITED_API
            PyType_GetFlags(Py_TYPE(key));
        #else
            Py_TYPE(key)->tp_flags;
        #endif
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
        #else
        PyTuple_SET_ITEM(kwnames, i, key);
        #endif
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(pos);
    #endif
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    Py_ssize_t kw_size =
        likely(kw == NULL) ?
        0 :
#if !CYTHON_ASSUME_SAFE_SIZE
        PyDict_Size(kw);
#else
        PyDict_GET_SIZE(kw);
#endif
    if (kw_size == 0) {
        return vc(func, args, nargs, NULL);
    }
#if !CYTHON_ASSUME_SAFE_SIZE
    else if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared (used by CythonFunction) */
static PyObject *
__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        const char *doc = op->func_methoddef->ml_doc;
#else
        const char *doc = ((PyCFunctionObject*)op)->m_ml->ml_doc;
#endif
        if (doc) {
            op->func_doc = PyUnicode_FromString(doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(PyObject *op_in, void *closure) {
    PyObject *result;
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_doc(PyObject *op_in, PyObject *value, void *context)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        const char *name = op->func_methoddef->ml_name;
#else
        const char *name = ((PyCFunctionObject*)op)->m_ml->ml_name;
#endif
        op->func_name = PyUnicode_InternFromString(name);
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static PyObject *
__Pyx_CyFunction_get_name(PyObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(__Pyx_as_CyFunctionObject(op));
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(PyObject *op_in, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(PyObject *op_in, void *context)
{
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(PyObject *op_in, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
#endif
static PyObject *
__Pyx_CyFunction_get_globals(PyObject *op_in, void *context)
{
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(PyObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(PyObject *op_in, void *context)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op, PyObject *op_obj) {
    int result = 0;
    PyObject *res = op->defaults_getter(op_obj);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(PyObject *op_in, PyObject* value, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(PyObject *op_in) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(PyObject *op, void *context) {
    PyObject* result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_defaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(PyObject *op_in, PyObject* value, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(PyObject *op_in) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(PyObject *op, void *context) {
    PyObject* result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_kwdefaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int __Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value);
static int
__Pyx_CyFunction_set_annotations(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_XINCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    if (unlikely(__Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, Py_None) < 0)) return -1;
    return 0;
}
static int
__Pyx_CyFunction_get_dict_if_exists(PyObject *op_in, PyObject **dict) {
    /* Return 1 if the function dict exists, 0 otherwise.  This cannot fail:
     * _PyObject_GetDictPtr() may clear errors internally, but never reports them. */
#if CYTHON_COMPILING_IN_PYPY
    *dict = PyObject_GenericGetDict(op_in, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030C0000
    *dict = __Pyx_as_CyFunctionObject(op_in)->func_dict;
#else
    PyObject **dictptr = _PyObject_GetDictPtr(op_in);
    *dict = likely(dictptr) ? *dictptr : NULL;
#endif
    return *dict ? 1 : 0;
}
static int
__Pyx_CyFunction_get_annotate_from_dict_if_exists(PyObject *op_in, PyObject **annotate) {
    PyObject *dict;
    int dict_found;
    *annotate = NULL;
    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);
    if (!dict_found) return 0;
    return __Pyx_PyDict_GetItemRef(dict, __pyx_mstate_global->__pyx_n_u_annotate, annotate);
}
static int
__Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value) {
    PyObject *dict;
    int dict_found;
    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);
    if (!dict_found) return 0;
    if (value) {
        return PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);
    } else {
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
        return PyDict_Pop(dict, __pyx_mstate_global->__pyx_n_u_annotate, NULL);
#else
        int result = PyDict_Contains(dict, __pyx_mstate_global->__pyx_n_u_annotate);
        if (result == 1) {
            result = PyDict_DelItem(dict, __pyx_mstate_global->__pyx_n_u_annotate);
        }
        return result;
#endif
    }
}
static int
__Pyx_CyFunction_set_annotate_in_dict(PyObject *op_in, PyObject *value) {
    PyObject *dict;
    int result;
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    dict = __Pyx_CyFunction_get_dict(__Pyx_as_CyFunctionObject(op_in), NULL);
#else
    dict = PyObject_GenericGetDict(op_in, NULL);
#endif
    if (unlikely(!dict)) return -1;
    result = PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);
    Py_DECREF(dict);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotations(PyObject *op_in, void *context) {
    PyObject *annotate = NULL;
    PyObject *result = NULL;
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    result = __Pyx_XNewRef(op->func_annotations);
    __Pyx_END_CRITICAL_SECTION();
    if (result) return result;
    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;
    if (!annotate || annotate == Py_None) {
        Py_XDECREF(annotate);
        __Pyx_BEGIN_CRITICAL_SECTION(op_in);
        result = __Pyx_CyFunction_get_annotations_locked(op);
        __Pyx_END_CRITICAL_SECTION();
        return result;
    }
    PyObject *format = PyLong_FromLong(1L);  // annotationlib.Format.VALUE
    if (likely(format)) {
        if (!Py_EnterRecursiveCall(" cyfunction __annotations__.__get__")) {
            result = __Pyx_PyObject_CallOneArg(annotate, format);
            Py_LeaveRecursiveCall();
            Py_DECREF(format);
        }
    }
    Py_DECREF(annotate);
    if (unlikely(!result)) return NULL;
    if (unlikely(!PyDict_Check(result))) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ must return a dict");
        Py_DECREF(result);
        return NULL;
    }
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_annotations, __Pyx_NewRef(result));
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *__Pyx_CyFunction_annotate_impl(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    if (unlikely(!self)) {
        PyErr_SetString(PyExc_SystemError, "cython __annotate__ called without 'self' argument");
        return NULL;
    }
    PyObject *result;
    if (Py_EnterRecursiveCall(" in cyfunction annotate")) {
        return NULL;
    }
    result = __Pyx_CyFunction_get_annotations(self, NULL);
    Py_LeaveRecursiveCall();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context);
static int
__Pyx_CyFunction_set_annotate(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ cannot be deleted");
        return -1;
    }
    if (unlikely(value != Py_None && !PyCallable_Check(value))) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ must be callable or None");
        return -1;
    }
    if (unlikely(__Pyx_TypeCheck(value, &PyCFunction_Type))) {
#if !CYTHON_ASSUME_SAFE_MACROS && !CYTHON_COMPILING_IN_PYPY
        PyCFunction cfunction = PyCFunction_GetFunction(value);
        if (unlikely(!cfunction)) return -1;
        PyObject *value_self = PyCFunction_GetSelf(value);
        if (unlikely(!value_self && PyErr_Occurred())) return -1;
#else
        PyCFunction cfunction = PyCFunction_GET_FUNCTION(value);
        PyObject *value_self = PyCFunction_GET_SELF(value);
#endif
        if (cfunction == __Pyx_CyFunction_annotate_impl && value_self == op_in) {
            return __Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, NULL);
        }
    }
    if (value != Py_None) {
        __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
        __Pyx_BEGIN_CRITICAL_SECTION(op_in);
        Py_CLEAR(op->func_annotations);
        __Pyx_END_CRITICAL_SECTION();
    }
    return __Pyx_CyFunction_set_annotate_in_dict(op_in, value);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
static PyObject *
__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
    if (is_coroutine) {
        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) {
            goto ignore_or_error;
        }
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore_or_error:
        if (!__Pyx_IgnoreException(PyExc_Exception)) {
            return NULL;
        }
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(PyObject *op_in, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    result = __Pyx_CyFunction_get_is_coroutine_value(op);
    if (unlikely(!result))
        return NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    if (op->func_is_coroutine) {
        Py_DECREF(result);
        result = __Pyx_NewRef(op->func_is_coroutine);
    } else {
        op->func_is_coroutine = __Pyx_NewRef(result);
    }
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
#endif
static void __Pyx_CyFunction_raise_argument_count_error(PyObject *func, const char* message, Py_ssize_t size) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        py_name, message, size);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        name, message, size);
#endif
}
static void __Pyx_CyFunction_raise_type_error(PyObject *func, const char* message) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s",
        py_name, message);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s",
        name, message);
#endif
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(PyObject *op_in, void *context) {
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(op->func_module);
    return op->func_module;
}
static int
__Pyx_CyFunction_set_module(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    PyObject *old = op->func_module;
    op->func_module = value;
    Py_DECREF(old);
    return 0;
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
#else
    {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
#endif
    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {"__annotate__", (getter)__Pyx_CyFunction_get_annotate, (setter)__Pyx_CyFunction_set_annotate, 0, 0},
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#endif
#if CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#else
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#else
    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(PyObject *m_in, PyObject *args)
{
    PyObject *result = NULL;
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m_in);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__annotate_cython__", __Pyx_CyFunction_annotate_impl, METH_O,
        "Placeholder __annotate__ function to allow 'functools.wraps' to work "
        "on Cython functions."},
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_NOARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *
__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context) {
    PyObject *annotate = NULL;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;
    if (annotate) return annotate;
    PyObject *method = PyCFunction_New(
        &__pyx_CyFunction_methods[0],
        op_in);
    return method;
}
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(PyObject *op_in,
                                       PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject* op = __Pyx_as_CyFunctionObject(op_in);
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func_methoddef = ml;
    Py_INCREF(module);
    op->func_module = module;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_dict = NULL;
#endif
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    op->func_is_coroutine = NULL;
#endif
#if CYTHON_VECTORCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op_in);
        return NULL;
    }
#endif
    return op_in;
}
static int __Pyx__CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_module);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_dict);
#elif PY_VERSION_HEX < 0x030d0000
    _PyObject_ClearManagedDict((PyObject*)m);
#else
    PyObject_ClearManagedDict((PyObject*)m);
#endif
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_classobj);
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    Py_CLEAR(m->func_is_coroutine);
#endif
    Py_CLEAR(m->defaults);
    return 0;
}
static int
__Pyx_CyFunction_clear(PyObject *m)
{
    return __Pyx__CyFunction_clear(__Pyx_as_CyFunctionObject(m));
}
static void __Pyx__CyFunction_dealloc(PyObject *m)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(m);
    if (__Pyx_CyFunction_weakreflist(cyfunc) != NULL)
        PyObject_ClearWeakRefs(m);
    __Pyx__CyFunction_clear(cyfunc);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(PyObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(PyObject *m_in, visitproc visit, void *arg)
{
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);
    {
        int e = __Pyx_call_type_traverse(m_in, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_module);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_dict);
#else
    {
        int e =
#if PY_VERSION_HEX < 0x030d0000
            _PyObject_VisitManagedDict
#else
            PyObject_VisitManagedDict
#endif
                ((PyObject*)m, visit, arg);
        if (e != 0) return e;
    }
#endif
    __Pyx_VISIT_CONST(m->func_name);
    __Pyx_VISIT_CONST(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    __Pyx_VISIT_CONST(m->func_code);
    Py_VISIT(__Pyx__CyFunction_GetClassObj(m));
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_annotations);
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    Py_VISIT(m->func_is_coroutine);
#endif
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(PyObject *op_in)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
    __Pyx_END_CRITICAL_SECTION();
    return repr;
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    int flags = cyfunc->func_methoddef->ml_flags;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void(*)(void))meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
            __Pyx_CyFunction_raise_argument_count_error(
                func,
                "takes no arguments", size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            __Pyx_CyFunction_raise_argument_count_error(
                func,
                "takes exactly one argument", size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    __Pyx_CyFunction_raise_type_error(
        func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    result = __Pyx_CyFunction_CallMethod(func, func, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
#if CYTHON_VECTORCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_SIZE
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(argc < 0)) return NULL;
#endif
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_VECTORCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(PyObject *func, __pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            __Pyx_CyFunction_raise_type_error(
                func, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            func, "takes no keyword arguments");
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            func, "takes no arguments", nargs);
        return NULL;
    }
    return meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            func, "takes exactly one argument", nargs);
        return NULL;
    }
    return meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    PyTypeObject *cls = (PyTypeObject *) __Pyx__CyFunction_GetClassObj(cyfunc);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    #if PY_VERSION_HEX < 0x030e00A6
    size_t nargs_value = (size_t) nargs;
    #else
    Py_ssize_t nargs_value = nargs;
    #endif
    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames);
}
#endif
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    __PYX_SHARED_SIZEOF(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if CYTHON_VECTORCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_TPFLAGS_MANAGED_DICT |
#endif
    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
static int __pyx_CyFunction_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    (void)&__Pyx_Get_CyFunction_Type;
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(PyObject, __pyx_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}
static PyTypeObject *__Pyx_Get_CyFunction_Type(void) {
    PyTypeObject *tp = __pyx_mstate_global->__pyx_CyFunctionType;
    Py_INCREF((PyObject*)tp);
    return tp;
}

/* pyfrozenset_new (used by PySetContains) */
static PyObject* __Pyx_PyFrozenSet_New(PyObject* it) {
    PyObject* result;
    if (PyFrozenSet_CheckExact(it)) {
        Py_INCREF(it);
        return it;
    }
    result = PyFrozenSet_New(it);
    if (unlikely(!result)) {
        return NULL;
    }
    if ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000)
#if CYTHON_COMPILING_IN_LIMITED_API
        || likely(__Pyx_get_runtime_version() >= 0x030A0000)
#endif
        )
        return result;
    Py_ssize_t size = __Pyx_PySet_GET_SIZE(result);
    if (likely(size > 0))
        return result;
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(size < 0)) {
        Py_DECREF(result);
        return NULL;
    }
#endif
    Py_DECREF(result);
    return PyFrozenSet_New(NULL);
}

/* PySetContains */
static int __Pyx_PySet_ContainsUnhashable(PyObject *set, PyObject *key) {
    int result = -1;
    if (PySet_Check(key) && PyErr_ExceptionMatches(PyExc_TypeError)) {
        PyObject *tmpkey;
        PyErr_Clear();
        tmpkey = __Pyx_PyFrozenSet_New(key);
        if (tmpkey != NULL) {
            result = PySet_Contains(set, tmpkey);
            Py_DECREF(tmpkey);
        }
    }
    return result;
}
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq) {
    int result = PySet_Contains(set, key);
    if (unlikely(result < 0)) {
        result = __Pyx_PySet_ContainsUnhashable(set, key);
    }
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* AllocateExtensionType */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final) {
    if (is_final || likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
        allocfunc alloc_func = __Pyx_PyType_GetSlot(t, tp_alloc, allocfunc);
        return alloc_func(t, 0);
    } else {
        newfunc tp_new = __Pyx_PyType_TryGetSlot(&PyBaseObject_Type, tp_new, newfunc);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (!tp_new) {
            PyObject *new_str = PyUnicode_FromString("__new__");
            if (likely(new_str)) {
                PyObject *o = PyObject_CallMethodObjArgs((PyObject *)&PyBaseObject_Type, new_str, t, NULL);
                Py_DECREF(new_str);
                return o;
            } else
                return NULL;
        } else
    #endif
        return tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
    }
}

/* CallSlotAsVectorcallUnpackDict (used by CallSlotAsVectorcall) */
static CYTHON_INLINE int __Pyx_CallSlotAsVectorcallUnpackDict(Py_ssize_t args_size, PyObject *keys_dict, PyObject **args, PyObject *kwnames) {
    Py_ssize_t pos = 0, i = 0;
    PyObject *key, *value;
    while (PyDict_Next(keys_dict, &pos, &key, &value)) {
        Py_INCREF(value);
        args[args_size+i] = value;
        Py_INCREF(key);
        if (unlikely(__Pyx_PyTuple_SET_ITEM(kwnames, i, key) == -1)) {
            return -1;
        }
        ++i;
    }
    return 0;
}

/* CallSlotAsVectorcall */
#if CYTHON_VECTORCALL_TPNEW
static PyObject * __Pyx_CallTpnewAsVectorcall(__Pyx_tpnewvectorcallfunc f, PyTypeObject* o, PyObject *a, PyObject *k) {
    Py_ssize_t k_size = k ? __Pyx_PyDict_GET_SIZE(k) : 0;
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(k_size < 0)) return NULL;
#endif
    Py_ssize_t a_size = __Pyx_PyTuple_GET_SIZE(a);
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(a_size < 0)) return NULL;
#endif
#if CYTHON_ASSUME_SAFE_MACROS
    if (k_size == 0) {
        return f(o, &PyTuple_GET_ITEM(a, 0), a_size, NULL);
    }
#else
    if (k_size == 0 && a_size == 0) {
        return f(o, NULL, 0, NULL);
    }
#endif
    PyObject *stack_args[5];
    PyObject **args = stack_args;
    Py_ssize_t maxnargs = PY_SSIZE_T_MAX / sizeof(PyObject*) - 1;
    if (a_size > maxnargs - k_size) {
        PyErr_NoMemory();
        return NULL;
    }
    Py_ssize_t total_size = a_size + k_size;
    if (total_size > 5) {
        args = (PyObject**)PyMem_Malloc(((size_t)total_size)*sizeof(PyObject*));
        if (unlikely(!args)) {
            PyErr_NoMemory();
            return NULL;
        }
    }
    PyObject * result = NULL;
    PyObject *kwnames = NULL;
    int unpack_dict_result;
    Py_ssize_t i = 0;
    for (; i < a_size; ++i) {
        args[i] = __Pyx_PyTuple_GET_ITEM(a, i);
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!args[i])) goto cleanup;
#endif
    }
#if !CYTHON_ASSUME_SAFE_MACROS
    if (k)  // There's a specific shortcut earlier for ASSUME_SAFE_MACROS with no keywords
#endif
    {
        kwnames = PyTuple_New(k_size);
        if (unlikely(!kwnames)) goto cleanup;
        __Pyx_BEGIN_CRITICAL_SECTION(k);
        unpack_dict_result = __Pyx_CallSlotAsVectorcallUnpackDict(a_size, k, args, kwnames);
        __Pyx_END_CRITICAL_SECTION();
        if (unlikely(unpack_dict_result == -1)) goto cleanup;
    }
    result = f(o, args, a_size, kwnames);
  cleanup:
    Py_XDECREF(kwnames);
    for (i=a_size; i<total_size; ++i) {
        Py_XDECREF(args[i]);
    }
    if (args != stack_args) {
        PyMem_Free(args);
    }
    return result;
}
#endif

/* CallNewInitFromVectorcall */
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__Pyx_CallNewInitFromVectorcall(PyTypeObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
    newfunc tp_new = __Pyx_PyType_GetSlot(t, tp_new, newfunc);
    if (unlikely(!tp_new)) {
        __Pyx_RaiseErrorWithType(PyExc_TypeError, "cannot create " __Pyx_FMT_TYPENAME " instances", t);
        return NULL;
    }
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(nargsf);
    PyObject *result = NULL, *args_tuple = NULL, *kwds_dict = NULL;
    Py_ssize_t kw_size = kwnames ? __Pyx_PyTuple_GET_SIZE(kwnames) : 0;
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    if (kw_size) {
        kwds_dict = __Pyx_PyDict_NewPresized(kw_size);
        if (unlikely(!kwds_dict)) {
            return NULL;
        }
        for (Py_ssize_t i=0; i<kw_size; ++i) {
            PyObject *v = args[nargs + i];
            PyObject *k = __Pyx_PyTuple_GET_ITEM(kwnames, i);
#if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(!k)) {
                goto end;
            }
#endif
            if (unlikely(PyDict_SetItem(kwds_dict, k, v) < 0)) {
                goto end;
            }
        }
    }
    if (nargs) {
        args_tuple = __Pyx_PyTuple_FromArray(args, nargs);
        if (unlikely(!args_tuple)) {
            goto end;
        }
    } else {
        args_tuple = __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    result = tp_new(t, args_tuple, kwds_dict);
    if (unlikely(!result)) {
        goto end;
    }
    if (PyObject_TypeCheck(result, t)) {
        initproc tp_init = __Pyx_PyObject_GetSlot(result, tp_init, initproc);
        if (tp_init && unlikely(tp_init(result, args_tuple, kwds_dict) < 0)) {
            Py_CLEAR(result);
        }
    }
  end:
    Py_XDECREF(args_tuple);
    Py_XDECREF(kwds_dict);
    return result;
}
#endif

/* PyObjectCallMethod0 (used by PyType_Ready) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || !CYTHON_COMPILING_IN_LIMITED_API)
    return PyObject_VectorcallMethod(method_name, &obj, 1 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_CallMethodObjArgs(obj, method_name, NULL);
#else
    return PyObject_CallMethodNoArgs(obj, method_name);
#endif
}

/* GetTypeDictOffset (used by ValidateBasesTuple) */
#if !CYTHON_USE_TYPE_SLOTS
CYTHON_UNUSED static Py_ssize_t __Pyx_GetTypeDictOffset(PyObject *tp, int require_cython_valid_result) {
    PyObject *tp_dictoffset_o;
    Py_ssize_t tp_dictoffset;
    tp_dictoffset_o = PyObject_GetAttrString(tp, "__dictoffset__");
    if (unlikely(!tp_dictoffset_o)) return -1;
    tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
    Py_DECREF(tp_dictoffset_o);
    if (unlikely(require_cython_valid_result && tp_dictoffset == 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' doesn't have a dictoffset");
        return -1;
    } else if (unlikely(require_cython_valid_result && tp_dictoffset < 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' has an unexpected negative dictoffset. "
            "Please report this as Cython bug");
        return -1;
    }
    return tp_dictoffset;
}
#endif

/* RaiseErrorWithObjectType1 (used by ValidateBasesTuple) */
static void __Pyx_RaiseErrorWithType1(PyObject* exc_type, const char* message, const char *arg, PyTypeObject *type_obj) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetFullyQualifiedName(type_obj);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name)) return;
    #endif
    PyErr_Format(exc_type, message, arg, type_name);
    __Pyx_DECREF_TypeName(type_name);
}

/* ValidateBasesTuple (used by PyType_Ready) */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, int has_dictoffset, PyObject *bases) {
    Py_ssize_t i, n;
#if CYTHON_ASSUME_SAFE_SIZE
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (unlikely(n < 0)) return -1;
#endif
    if (!has_dictoffset) {
        PyObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        b = PySequence_GetItem(bases, 0);
        if (!b) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        b = PyTuple_GET_ITEM(bases, 0);
#else
        b = PyTuple_GetItem(bases, 0);
        if (!b) return -1;
#endif
#if CYTHON_USE_TYPE_SLOTS
        has_dictoffset = ((PyTypeObject*)b)->tp_dictoffset != 0;
#else
        Py_ssize_t dictoffset = __Pyx_GetTypeDictOffset(b, 0);
        has_dictoffset = dictoffset != 0;
#endif
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b);
#endif
#if !CYTHON_USE_TYPE_SLOTS
        if (dictoffset == -1 && PyErr_Occurred()) return -1;
#endif
    }
    for (i = 1; i < n; i++)
    {
        PyTypeObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_RaiseErrorWithType(
                PyExc_TypeError, "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (!has_dictoffset)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS
            b_dictoffset = b->tp_dictoffset;
#else
            b_dictoffset = __Pyx_GetTypeDictOffset((PyObject*)b, 0);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                __Pyx_RaiseErrorWithType1(
                    PyExc_TypeError,
                    "extension type '%.200s' has no __dict__ slot, "
                    "but base type '" __Pyx_FMT_TYPENAME "' has: "
                    "either add 'cdef dict __dict__' to the extension type "
                    "or add '__slots__ = [...]' to the base type",
                    type_name, b);
#if !CYTHON_USE_TYPE_SLOTS
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
    while (t) {
        PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
        if (bases) {
            return 1;
        }
        t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
    }
    return 0;
}
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    if (!__Pyx_PyType_HasMultipleInheritance(t)) {
        return PyType_Ready(t);
    }
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset != 0, bases) == -1))
        return -1;
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                !CYTHON_COMPILING_IN_GRAAL
        gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
        r = PyType_Ready(t);
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
    return r;
#endif
}

/* HasAttr (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!PyUnicode_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_PyObject_GetAttrStrNoError(o, n);
    if (!r) {
        return (unlikely(PyErr_Occurred())) ? -1 : 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}
#endif

/* TupleOrListFromArrayImpl (used by ListFromArray) */
CYTHON_UNUSED static PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n) {
    PyObject *res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    #if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    #else
    Py_ssize_t i;
    for (i = 0; i < n; i++) {
        Py_INCREF(src[i]);
        if (unlikely(__Pyx_PyList_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
    }
    #endif
    return res;
}

/* ImportImpl (used by Import) */
static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) {
    PyObject *imported_module = PyImport_GetModule(qualname);
    if (unlikely(!imported_module)) {
        *module = NULL;
        if (PyErr_Occurred()) {
            return -1;
        }
        return 0;
    }
    *module = imported_module;
    return 1;
}
static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) {
    PyObject *imported_module;
    PyObject *top_level_package_name;
    Py_ssize_t i;
    int status, module_found;
    Py_ssize_t dot_index;
    module_found = __Pyx__Import_GetModule(qualname, &imported_module);
    if (unlikely(!module_found || module_found == -1)) {
        *module = NULL;
        return module_found;
    }
    if (imported_names) {
        for (i = 0; i < len_imported_names; i++) {
            PyObject *imported_name = imported_names[i];
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
            int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name);
#else
            int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name);
            if (unlikely(has_imported_attribute == -1)) goto error;
#endif
            if (!has_imported_attribute) {
                goto not_found;
            }
        }
        *module = imported_module;
        return 1;
    }
    dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1);
    if (dot_index == -1) {
        *module = imported_module;
        return 1;
    }
    if (unlikely(dot_index == -2)) goto error;
    top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index);
    if (unlikely(!top_level_package_name)) goto error;
    Py_DECREF(imported_module);
    status = __Pyx__Import_GetModule(top_level_package_name, module);
    Py_DECREF(top_level_package_name);
    return status;
error:
    Py_DECREF(imported_module);
    *module = NULL;
    return -1;
not_found:
    Py_DECREF(imported_module);
    *module = NULL;
    return 0;
}
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *from_list = 0;
    int module_found;
    if (!qualname) {
        qualname = name;
    }
    module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module);
    if (likely(module_found == 1)) {
        return module;
    } else if (unlikely(module_found == -1)) {
        return NULL;
    }
    #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030f00a6
    empty_dict = PyFrozenDict_New(NULL);
    #else
    empty_dict = PyDict_New();
    #endif
    if (unlikely(!empty_dict))
        goto bad;
    if (imported_names) {
        from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);
        if (unlikely(!from_list))
            goto bad;
    }
    if (level == -1) {
        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
        if (package_sep != (0)) {
            module = PyImport_ImportModuleLevelObject(
                name, moddict, empty_dict, from_list, 1);
            if (unlikely(!module)) {
                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                    goto bad;
                PyErr_Clear();
            }
        }
        level = 0;
    }
    if (!module) {
        module = PyImport_ImportModuleLevelObject(
            name, moddict, empty_dict, from_list, level);
    }
bad:
    Py_XDECREF(from_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level) {
    return __Pyx__Import(name, imported_names, len_imported_names, qualname, __pyx_mstate_global->__pyx_d, level);
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_mstate_global->__pyx_kp_u__3);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
                CYTHON_COMPILING_IN_GRAAL
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError, "cannot import name %S", name);
    }
    return value;
}

/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolEq
#define __Pyx_DEFINED_PyObject_CompareStrStrBoolEq
static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolEq(PyObject* s1, PyObject* s2) {
    #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000
    int result = PyUnicode_Equal(s1, s2);
    #if !CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(result == -1)) return -1;
    #endif
    if (result == 0) goto __pyx_return_false; else goto __pyx_return_true;
    #else
    int result = PyUnicode_Compare(s1, s2);
    if (unlikely((result == -1) && PyErr_Occurred())) return -1;
    if (result == 0) goto __pyx_return_true; else goto __pyx_return_false;
    #endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_object_str(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_richcmp;
    }
    if (PyFloat_CheckExact(op1)) {
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        goto __pyx_richcmp;
    }
    
    if (likely(PyUnicode_CheckExact(op1))) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareStrStrBoolEq(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}

/* CLineInTraceback (used by AddTraceback) */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
#define __Pyx_PyProbablyModule_GetDict(o) __Pyx_XNewRef(PyModule_GetDict(o))
#elif !CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyProbablyModule_GetDict(o) PyObject_GenericGetDict(o, NULL);
#else
PyObject* __Pyx_PyProbablyModule_GetDict(PyObject *o) {
    PyObject **dict_ptr = _PyObject_GetDictPtr(o);
    return dict_ptr ? __Pyx_XNewRef(*dict_ptr) : NULL;
}
#endif
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline = NULL;
    PyObject *ptype, *pvalue, *ptraceback;
    PyObject *cython_runtime_dict;
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
    cython_runtime_dict = __Pyx_PyProbablyModule_GetDict(__pyx_mstate_global->__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, cython_runtime_dict,
            __Pyx_PyDict_SetDefault(cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False))
    }
    if (use_cline == NULL || use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    Py_XDECREF(use_cline);
    Py_XDECREF(cython_runtime_dict);
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache (used by AddTraceback) */
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {
    __Pyx_CachedCodeObjectType* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!code_cache->entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
    if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = code_cache->entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__find_code_object;
    return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);
    if (old_count < 0) {
        __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
        return NULL;
    }
#endif
    __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
#endif
    return result;
#endif
}
static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)
{
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            code_cache->entries = entries;
            code_cache->max_count = 64;
            code_cache->count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
    if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {
        __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_INCREF(code_object);
        Py_DECREF(tmp);
        return;
    }
    if (code_cache->count == code_cache->max_count) {
        int new_max = code_cache->max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        code_cache->entries = entries;
        code_cache->max_count = new_max;
    }
    for (i=code_cache->count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    code_cache->count++;
    Py_INCREF(code_object);
}
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__insert_code_object;
    return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type expected = 0;
    if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {
        return;
    }
#endif
    __pyx__insert_code_object(code_cache, code_line, code_object);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);
#endif
#endif
}

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    __Pyx_PyErr_FetchException(&exc_type, &exc_value, &exc_traceback);
    code_object = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!code_object) {
        code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
        if (unlikely(!code_object)) goto bad;
        py_py_line = PyLong_FromLong(py_line);
        if (unlikely(!py_py_line)) goto bad;
        if (c_line) {
            py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        } else {
            py_funcname = PyUnicode_FromString(funcname);
        }
        if (unlikely(!py_funcname)) goto bad;
        dict = PyDict_New();
        if (unlikely(!dict)) goto bad;
        {
            PyObject *old_code_object = code_object;
            code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
            Py_DECREF(old_code_object);
        }
        if (unlikely(!code_object)) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);
    } else {
        dict = PyDict_New();
    }
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    __Pyx_PyErr_RestoreException(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    if (c_line) {
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
    }
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_mstate_global->__pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* FromPy */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
#if CYTHON_COMPILING_IN_LIMITED_API
    double real=-1.0, imag=-1.0;
    real = PyComplex_RealAsDouble(o);
    if (unlikely(real == -1.0 && PyErr_Occurred())) goto end;
    imag = PyComplex_ImagAsDouble(o);
  end:
    return __pyx_t_double_complex_from_parts(
        (double)real, (double)imag
    );
#else
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_GRAAL
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_double_complex_from_parts(
               (double)cval.real,
               (double)cval.imag);
#endif
}

/* PyObjectVectorcallMethodKwds (used by CIntToPy) */
#if !CYTHON_VECTORCALL
static PyObject *__Pyx_Object_VectorcallMethodKwds(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
    PyObject *result;
    PyObject *obj = PyObject_GetAttr(args[0], name);
    if (unlikely(!obj))
        return NULL;
    result = __Pyx_Object_VectorcallKwds(obj, args+1, nargsf-1, kwnames);
    Py_DECREF(obj);
    return result;
}
#endif

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL, *from_bytes_str = NULL;;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        from_bytes_str = PyUnicode_FromStringAndSize("from_bytes", 10);
        if (!from_bytes_str) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[] = { (PyObject*)&PyLong_Type, py_bytes, order_str, Py_True };
            if (!is_unsigned) {
                PyObject *signed_str = PyUnicode_FromStringAndSize("signed", 6);
                if (!signed_str) goto limited_bad;
#if CYTHON_VECTORCALL
                kwds = PyTuple_Pack(1, signed_str);
#else
                {
                    PyObject *keys[] = {signed_str};
                    PyObject *values[] = {Py_True};
                    kwds = __Pyx_MakeKwargDict(keys, values, 1);
                }
#endif
                Py_DECREF(signed_str);
                if (unlikely(!kwds)) goto limited_bad;
            }
            result = __Pyx_Object_VectorcallMethodKwds(from_bytes_str, args, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes_str);
        return result;
#endif
    }
}

/* CIntFromPyVerify (used by CIntFromPy) */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* CIntFromPy */
static long __Pyx_LargePyLong___Pyx_PyLong_As_long(PyObject *x);
static long __Pyx_raise_neg_overflow___Pyx_PyLong_As_long(void) {
    const char* type_name = "long";
    PyErr_Format(PyExc_OverflowError,
        "can't convert negative value to %.200s", type_name);
    return (long) -1;
}
static long __Pyx_raise_overflow___Pyx_PyLong_As_long(void) {
    const char* type_name = "long";
    PyErr_Format(PyExc_OverflowError,
        "value too large to convert to %.200s", type_name);
    return (long) -1;
}
static CYTHON_INLINE long __Pyx_PyULong___Pyx_PyLong_As_long(PyObject *x) {
    const int is_unsigned = 1;
#if CYTHON_USE_PYLONG_INTERNALS
    {
        const digit* digits = __Pyx_PyLong_Digits(x);
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        if (size == 2 && (8 * sizeof(long) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
                return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(long) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
                return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(long) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
                return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
            }
        } else
        {}
    }
#elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
    if (unlikely(Py_SIZE(x) < 0)) {
        goto raise_neg_overflow;
    }
#else
    {
        int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
        if (unlikely(result < 0))
            return (long) -1;
        if (unlikely(result == 1))
            goto raise_neg_overflow;
    }
#endif
    if ((sizeof(long) <= sizeof(unsigned long))) {
        __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
    } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_long(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_long();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
}
static CYTHON_INLINE long __Pyx_PySLong___Pyx_PyLong_As_long(PyObject *x) {
    const int is_unsigned = 0;
#if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsNeg(x)) {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(long) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                long ival = - (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(long, long, ival)
            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                return (long) (((long) -1) * (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
            }
        } else
        if (size == 3 && (8 * sizeof(long) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                long ival = - (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(long, long, ival)
            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                return (long) (((long) -1) * (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
            }
        } else
        if (size == 4 && (8 * sizeof(long) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                long ival = - (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(long, long, ival)
            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                return (long) (((long) -1) * (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
            }
        } else
        {}
    } else {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(long) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(long) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(long) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
            }
        } else
        {}
    }
#endif
    #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    if ((sizeof(long) <= sizeof(int)) && (sizeof(int) < sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(long, int, PyLong_AsInt(x))
    } else
    #endif
    if ((sizeof(long) <= sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
    } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_long(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_long();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
}
static long __Pyx_LargePyLong___Pyx_PyLong_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    long val;
    int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
        x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
    if (unlikely(bytes_copied == -1)) {
    } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
        goto raise_overflow;
    } else {
        ret = 0;
    }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
    int one = 1; int is_little = (int)*(unsigned char *)&one;
    unsigned char *bytes = (unsigned char *)&val;
    ret = _PyLong_AsByteArray((PyLongObject *)x,
                                bytes, sizeof(val),
                                is_little, !is_unsigned);
    if ((0)) goto raise_overflow;
#else
    PyObject *v;
    PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
    int bits, remaining_bits, is_negative = 0;
    int chunk_size = (sizeof(long) < 8) ? 30 : 62;
    if (likely(PyLong_CheckExact(x))) {
        v = __Pyx_NewRef(x);
    } else {
        v = PyNumber_Long(x);
        if (unlikely(!v)) return (long) -1;
        assert(PyLong_CheckExact(v));
    }
    {
        int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
        if (unlikely(result < 0)) {
            Py_DECREF(v);
            return (long) -1;
        }
        is_negative = result == 1;
    }
    if (is_unsigned && unlikely(is_negative)) {
        Py_DECREF(v);
        PyErr_SetString(PyExc_OverflowError,
            "can't convert negative value to long");
        return (long) -1;
    } else if (is_negative) {
        stepval = PyNumber_Invert(v);
        Py_DECREF(v);
        if (unlikely(!stepval))
            return (long) -1;
    } else {
        stepval = v;
    }
    v = NULL;
    val = (long) 0;
    mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
    shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
    for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
        PyObject *tmp, *digit;
        long idigit;
        digit = PyNumber_And(stepval, mask);
        if (unlikely(!digit)) goto done;
        idigit = PyLong_AsLong(digit);
        Py_DECREF(digit);
        if (unlikely(idigit < 0)) goto done;
        val |= ((long) idigit) << bits;
        tmp = PyNumber_Rshift(stepval, shift);
        if (unlikely(!tmp)) goto done;
        Py_DECREF(stepval); stepval = tmp;
    }
    Py_DECREF(shift); shift = NULL;
    Py_DECREF(mask); mask = NULL;
    {
        long idigit = PyLong_AsLong(stepval);
        if (unlikely(idigit < 0)) goto done;
        remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
        if (unlikely(idigit >= (1L << remaining_bits)))
            goto raise_overflow;
        val |= ((long) idigit) << bits;
    }
    if (!is_unsigned) {
        if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
            goto raise_overflow;
        if (is_negative)
            val = ~val;
    }
    ret = 0;
done:
    Py_XDECREF(shift);
    Py_XDECREF(mask);
    Py_XDECREF(stepval);
#endif
    if (unlikely(ret))
        return (long) -1;
    return val;
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
}
static CYTHON_INLINE long __Pyx_PyLong___Pyx_PyLong_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else
        #endif
        {
            return __Pyx_PyULong___Pyx_PyLong_As_long(x);
        }
    } else {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else
        #endif
        {
            return __Pyx_PySLong___Pyx_PyLong_As_long(x);
        }
    }
#if CYTHON_USE_PYLONG_INTERNALS
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_long();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
#endif
}
static long __Pyx_NonPyLong___Pyx_PyLong_As_long(PyObject *x) {
    long val;
    PyObject *tmp = __Pyx_PyNumber_Long(x);
    if (!tmp) return (long) -1;
    val = __Pyx_PyLong_As_long(tmp);
    Py_DECREF(tmp);
    return val;
}
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *x) {
    if (likely(PyLong_Check(x))) {
        return __Pyx_PyLong___Pyx_PyLong_As_long(x);
    } else {
        return __Pyx_NonPyLong___Pyx_PyLong_As_long(x);
    }
}

/* CIntFromPy */
static int __Pyx_LargePyLong___Pyx_PyLong_As_int(PyObject *x);
static int __Pyx_raise_neg_overflow___Pyx_PyLong_As_int(void) {
    const char* type_name = "int";
    PyErr_Format(PyExc_OverflowError,
        "can't convert negative value to %.200s", type_name);
    return (int) -1;
}
static int __Pyx_raise_overflow___Pyx_PyLong_As_int(void) {
    const char* type_name = "int";
    PyErr_Format(PyExc_OverflowError,
        "value too large to convert to %.200s", type_name);
    return (int) -1;
}
static CYTHON_INLINE int __Pyx_PyULong___Pyx_PyLong_As_int(PyObject *x) {
    const int is_unsigned = 1;
#if CYTHON_USE_PYLONG_INTERNALS
    {
        const digit* digits = __Pyx_PyLong_Digits(x);
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        if (size == 2 && (8 * sizeof(int) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(int) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(int) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
            }
        } else
        {}
    }
#elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
    if (unlikely(Py_SIZE(x) < 0)) {
        goto raise_neg_overflow;
    }
#else
    {
        int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
        if (unlikely(result < 0))
            return (int) -1;
        if (unlikely(result == 1))
            goto raise_neg_overflow;
    }
#endif
    if ((sizeof(int) <= sizeof(unsigned long))) {
        __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
    } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_int(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_int();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
}
static CYTHON_INLINE int __Pyx_PySLong___Pyx_PyLong_As_int(PyObject *x) {
    const int is_unsigned = 0;
#if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsNeg(x)) {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(int) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                long ival = - (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(int, long, ival)
            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                return (int) (((int) -1) * (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
            }
        } else
        if (size == 3 && (8 * sizeof(int) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                long ival = - (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(int, long, ival)
            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                return (int) (((int) -1) * (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
            }
        } else
        if (size == 4 && (8 * sizeof(int) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                long ival = - (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(int, long, ival)
            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                return (int) (((int) -1) * (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
            }
        } else
        {}
    } else {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(int) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(int) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(int) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
            }
        } else
        {}
    }
#endif
    #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    if ((sizeof(int) <= sizeof(int)) && (sizeof(int) < sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(int, int, PyLong_AsInt(x))
    } else
    #endif
    if ((sizeof(int) <= sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
    } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_int(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_int();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
}
static int __Pyx_LargePyLong___Pyx_PyLong_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    int val;
    int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
        x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
    if (unlikely(bytes_copied == -1)) {
    } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
        goto raise_overflow;
    } else {
        ret = 0;
    }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
    int one = 1; int is_little = (int)*(unsigned char *)&one;
    unsigned char *bytes = (unsigned char *)&val;
    ret = _PyLong_AsByteArray((PyLongObject *)x,
                                bytes, sizeof(val),
                                is_little, !is_unsigned);
    if ((0)) goto raise_overflow;
#else
    PyObject *v;
    PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
    int bits, remaining_bits, is_negative = 0;
    int chunk_size = (sizeof(long) < 8) ? 30 : 62;
    if (likely(PyLong_CheckExact(x))) {
        v = __Pyx_NewRef(x);
    } else {
        v = PyNumber_Long(x);
        if (unlikely(!v)) return (int) -1;
        assert(PyLong_CheckExact(v));
    }
    {
        int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
        if (unlikely(result < 0)) {
            Py_DECREF(v);
            return (int) -1;
        }
        is_negative = result == 1;
    }
    if (is_unsigned && unlikely(is_negative)) {
        Py_DECREF(v);
        PyErr_SetString(PyExc_OverflowError,
            "can't convert negative value to int");
        return (int) -1;
    } else if (is_negative) {
        stepval = PyNumber_Invert(v);
        Py_DECREF(v);
        if (unlikely(!stepval))
            return (int) -1;
    } else {
        stepval = v;
    }
    v = NULL;
    val = (int) 0;
    mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
    shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
    for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
        PyObject *tmp, *digit;
        long idigit;
        digit = PyNumber_And(stepval, mask);
        if (unlikely(!digit)) goto done;
        idigit = PyLong_AsLong(digit);
        Py_DECREF(digit);
        if (unlikely(idigit < 0)) goto done;
        val |= ((int) idigit) << bits;
        tmp = PyNumber_Rshift(stepval, shift);
        if (unlikely(!tmp)) goto done;
        Py_DECREF(stepval); stepval = tmp;
    }
    Py_DECREF(shift); shift = NULL;
    Py_DECREF(mask); mask = NULL;
    {
        long idigit = PyLong_AsLong(stepval);
        if (unlikely(idigit < 0)) goto done;
        remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
        if (unlikely(idigit >= (1L << remaining_bits)))
            goto raise_overflow;
        val |= ((int) idigit) << bits;
    }
    if (!is_unsigned) {
        if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
            goto raise_overflow;
        if (is_negative)
            val = ~val;
    }
    ret = 0;
done:
    Py_XDECREF(shift);
    Py_XDECREF(mask);
    Py_XDECREF(stepval);
#endif
    if (unlikely(ret))
        return (int) -1;
    return val;
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
}
static CYTHON_INLINE int __Pyx_PyLong___Pyx_PyLong_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else
        #endif
        {
            return __Pyx_PyULong___Pyx_PyLong_As_int(x);
        }
    } else {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else
        #endif
        {
            return __Pyx_PySLong___Pyx_PyLong_As_int(x);
        }
    }
#if CYTHON_USE_PYLONG_INTERNALS
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_int();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
#endif
}
static int __Pyx_NonPyLong___Pyx_PyLong_As_int(PyObject *x) {
    int val;
    PyObject *tmp = __Pyx_PyNumber_Long(x);
    if (!tmp) return (int) -1;
    val = __Pyx_PyLong_As_int(tmp);
    Py_DECREF(tmp);
    return val;
}
static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *x) {
    if (likely(PyLong_Check(x))) {
        return __Pyx_PyLong___Pyx_PyLong_As_int(x);
    } else {
        return __Pyx_NonPyLong___Pyx_PyLong_As_int(x);
    }
}

/* GetRuntimeVersion */
#if __PYX_LIMITED_VERSION_HEX < 0x030b0000
void __Pyx_init_runtime_version(void) {
    if (__Pyx_cached_runtime_version == 0) {
        const char* rt_version = Py_GetVersion();
        unsigned long version = 0;
        unsigned long factor = 0x01000000UL;
        unsigned int digit = 0;
        int i = 0;
        while (factor) {
            while ('0' <= rt_version[i] && rt_version[i] <= '9') {
                digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
                ++i;
            }
            version += factor * digit;
            if (rt_version[i] != '.')
                break;
            digit = 0;
            factor >>= 8;
            ++i;
        }
        __Pyx_cached_runtime_version = version;
    }
}
#endif
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    return Py_Version & ~0xFFUL;
#else
    return __Pyx_cached_runtime_version;
#endif
}

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* NewCodeObj */
#if CYTHON_COMPILING_IN_LIMITED_API
    static PyObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f,
                                       PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                       PyObject *fv, PyObject *cell, PyObject* fn,
                                       PyObject *name, int fline, PyObject *lnos) {
        PyObject *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
        PyObject *version_info;
        PyObject *py_minor_version = NULL;
        #endif
        long minor_version = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
        minor_version = 11;
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        Py_DECREF(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        if (!result) {
            PyObject *exc_type, *exc_value, *exc_tb;
            PyErr_Fetch(&exc_type, &exc_value, &exc_tb);
            if (PyErr_WarnFormat(
                    PyExc_RuntimeWarning, 1,
                    "Code object creation failed in Cython module: %S\nTry recompiling with a more recent version of Cython.",
                    exc_value ? exc_value : exc_type) == 0) {
                result = Py_None;
                Py_INCREF(result);
            }
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
        }
        return result;
    }
#elif PY_VERSION_HEX >= 0x030B0000
  static PyCodeObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f,
                                         PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                         PyObject *fv, PyObject *cell, PyObject* fn,
                                         PyObject *name, int fline, PyObject *lnos) {
    PyCodeObject *result;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, __pyx_mstate_global->__pyx_empty_bytes);
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030c00A1
    if (likely(result))
        result->_co_firsttraceable = 0;
    #endif
    return result;
  }
#elif !CYTHON_COMPILING_IN_PYPY
  #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
) {
    PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL;
    Py_ssize_t var_count = (Py_ssize_t) descr.nlocals;
    PyObject *varnames_tuple = PyTuple_New(var_count);
    if (unlikely(!varnames_tuple)) return NULL;
    for (Py_ssize_t i=0; i < var_count; i++) {
        Py_INCREF(varnames[i]);
        if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done;
    }
    #if CYTHON_COMPILING_IN_LIMITED_API
    varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple);
    if (!varnames_tuple_dedup) {
        if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done;
        varnames_tuple_dedup = varnames_tuple;
    }
    #else
    varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple);
    if (unlikely(!varnames_tuple_dedup)) goto done;
    #endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(varnames_tuple_dedup);
    #endif
    if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL && !CYTHON_COMPILING_IN_GRAAL) {
        Py_ssize_t line_table_length = __Pyx_PyBytes_GET_SIZE(line_table);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(line_table_length == -1)) goto done;
        #endif
        Py_ssize_t code_len = (line_table_length * 2 + 4) & ~3LL;
        code_bytes = PyBytes_FromStringAndSize(NULL, code_len);
        if (unlikely(!code_bytes)) goto done;
        char* c_code_bytes = PyBytes_AsString(code_bytes);
        if (unlikely(!c_code_bytes)) goto done;
        memset(c_code_bytes, 0, (size_t) code_len);
    }
    code_obj = (PyObject*) __Pyx__PyCode_New(
        (int) descr.argcount,
        (int) descr.num_posonly_args,
        (int) descr.num_kwonly_args,
        (int) descr.nlocals,
        0,
        (int) descr.flags,
        code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        varnames_tuple_dedup,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        filename,
        funcname,
        (int) descr.first_line,
        (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table) ? line_table : __pyx_mstate_global->__pyx_empty_bytes
    );
done:
    Py_XDECREF(code_bytes);
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(varnames_tuple_dedup);
    #endif
    Py_DECREF(varnames_tuple);
    return code_obj;
}

/* DecompressString */
CYTHON_UNUSED
static CYTHON_SMALL_CODE PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo) {
#ifdef __Pyx_DecompressString_UNUSED
    CYTHON_UNUSED_VAR(s);
    CYTHON_UNUSED_VAR(length);
    CYTHON_UNUSED_VAR(algo);
    return NULL;
#else
    PyObject *module = NULL, *decompress, *compressed_bytes, *decompressed;
    const char* module_name = algo == 3 ? "compression.zstd" : algo == 2 ? "bz2" : "zlib";
    PyObject *methodname = PyUnicode_FromString("decompress");
    if (unlikely(!methodname)) return NULL;
    #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000
    if (algo == 3) {
        PyObject *fromlist = Py_BuildValue("[O]", methodname);
        if (unlikely(!fromlist)) goto bad;
        module = PyImport_ImportModuleLevel("compression.zstd", NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
    } else
    #endif
        module = PyImport_ImportModule(module_name);
    if (unlikely(!module)) goto import_failed;
    decompress = PyObject_GetAttr(module, methodname);
    if (unlikely(!decompress)) goto import_failed;
    {
        #ifdef __cplusplus
            char *memview_bytes = const_cast<char*>(s);
        #else
            #if defined(__clang__)
              #pragma clang diagnostic push
              #pragma clang diagnostic ignored "-Wcast-qual"
            #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
              #pragma GCC diagnostic push
              #pragma GCC diagnostic ignored "-Wcast-qual"
            #endif
            char *memview_bytes = (char*) s;
            #if defined(__clang__)
              #pragma clang diagnostic pop
            #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
              #pragma GCC diagnostic pop
            #endif
        #endif
        #if CYTHON_COMPILING_IN_LIMITED_API && !defined(PyBUF_READ)
        int memview_flags = 0x100;
        #else
        int memview_flags = PyBUF_READ;
        #endif
        compressed_bytes = PyMemoryView_FromMemory(memview_bytes, length, memview_flags);
    }
    if (unlikely(!compressed_bytes)) {
        Py_DECREF(decompress);
        goto bad;
    }
    decompressed = PyObject_CallFunctionObjArgs(decompress, compressed_bytes, NULL);
    Py_DECREF(compressed_bytes);
    Py_DECREF(decompress);
    Py_DECREF(module);
    Py_DECREF(methodname);
    return decompressed;
import_failed:
    PyErr_Format(PyExc_ImportError,
        "Failed to import '%.20s.decompress' - cannot initialise module strings. "
        "String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.",
        module_name, algo);
bad:
    Py_XDECREF(module);
    Py_DECREF(methodname);
    return NULL;
#endif
}

/* DecompressString_LZSS */
#ifndef __Pyx_DecompressString_LZSS_UNUSED
CYTHON_UNUSED
static CYTHON_SMALL_CODE size_t __pyx_lzss_decompress(const uint8_t* src, uint8_t* dst, size_t dst_len) {
    size_t pos = 0, out_pos = 0;
    while (1) {
        uint32_t flags = src[pos++] | 0xFF00;
        while (flags & 0x100) {
            if (flags & 1) {
                dst[out_pos++] = src[pos++];
            } else {
                uint32_t lo = src[pos++], hi = src[pos++];
                uint32_t end_offset_of_last_occurrence, match_length;
                if (!(lo & 0x80)) {
                    end_offset_of_last_occurrence = lo;
                    match_length = hi;
                } else if (!(hi & 0x80)) {
                    end_offset_of_last_occurrence = 0x80 + (((hi << 2) & 0x180) | (lo & 0x7F));
                    match_length = hi & 0x1F;
                } else {
                    end_offset_of_last_occurrence = 0x80 + ((hi & 0x7F) << 7 | (lo & 0x7F));
                    match_length = src[pos++];
                }
                match_length += 3;
                size_t ref_pos = out_pos - end_offset_of_last_occurrence - match_length;
                memcpy(dst + out_pos, dst + ref_pos, match_length);
                out_pos += match_length;
            }
            if (out_pos >= dst_len) return pos;
            flags >>= 1;
        }
    }
}
#endif
static CYTHON_SMALL_CODE PyObject *__Pyx_DecompressString_LZSS(const char *s, size_t compressed_length, size_t uncompressed_length) {
#ifdef __Pyx_DecompressString_LZSS_UNUSED
    CYTHON_UNUSED_VAR(s);
    CYTHON_UNUSED_VAR(compressed_length);
    CYTHON_UNUSED_VAR(uncompressed_length);
    return NULL;
#else
    PyObject *result;
    unsigned char *result_data;
    size_t src_length;
    result = PyBytes_FromStringAndSize(NULL, (Py_ssize_t) uncompressed_length);
    if (unlikely(!result)) return NULL;
    result_data = __Pyx_PyBytes_AsWritableUString(result);
    if (unlikely(!result_data)) goto bad;
    src_length = __pyx_lzss_decompress((const uint8_t*) s, result_data, uncompressed_length);
    if (unlikely(src_length != compressed_length)) goto decompression_failed;
    return result;
decompression_failed:
    PyErr_SetString(PyExc_RuntimeError, "LZSS string data decompression failed");
bad:
    Py_DECREF(result);
    return NULL;
#endif
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    {
        const char* result;
        Py_ssize_t unicode_length;
        CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL;
        #else
        result = PyUnicode_AsUTF8AndSize(o, length);
        #endif
        #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        unicode_length = PyUnicode_GetLength(o);
        if (unlikely(unicode_length < 0)) return NULL;
        if (unlikely(unicode_length != *length)) {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
        #endif
        return result;
    }
#else
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
}
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
    if (PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
    if (PyByteArray_Check(o)) {
#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)))
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
#else
        *length = PyByteArray_Size(o);
        if (*length == -1) return NULL;
        return PyByteArray_AsString(o);
#endif
    } else
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_LongWrongResultType(PyObject* result) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result));
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!result_type_name)) goto bad;
    #endif
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            goto bad;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
    PyErr_Format(PyExc_TypeError,
                 "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")",
                 result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
bad:
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  PyObject *res = NULL;
  if (likely(PyLong_Check(x)))
      return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  if (likely(m && m->nb_int)) {
      res = m->nb_int(x);
  }
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Long(x);
  }
#endif
  if (likely(res)) {
      if (unlikely(!PyLong_CheckExact(res))) {
          return __Pyx_PyNumber_LongWrongResultType(res);
      }
  }
  else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyLong_AsSsize_t(PyObject* b) {
    #if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t ival;
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(b);
    const int is_neg = __Pyx_PyLong_IsNeg(b);
    const digit* digits = __Pyx_PyLong_Digits(b);
    if (size == 0) return 0;
    #if SIZEOF_SIZE_T * 8 > 1 * PyLong_SHIFT
    if (size == 1) {
        ival = (Py_ssize_t) (((size_t)digits[0]));
    } else
    #endif
    #if SIZEOF_SIZE_T * 8 > 2 * PyLong_SHIFT
    if (size == 2) {
        ival = (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
    } else
    #endif
    #if SIZEOF_SIZE_T * 8 > 3 * PyLong_SHIFT
    if (size == 3) {
        ival = (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
    } else
    #endif
    #if SIZEOF_SIZE_T * 8 > 4 * PyLong_SHIFT
    if (size == 4) {
        ival = (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
    } else
    #endif
        return PyLong_AsSsize_t(b);
    return is_neg ? -ival : ival;
    #else
    return PyLong_AsSsize_t(b);
    #endif
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
    if (likely(PyLong_Check(b))) {
        return __Pyx_PyLong_AsSsize_t(b);
    } else {
        Py_ssize_t ival;
        PyObject *x = PyNumber_Index(b);
        if (unlikely(!x)) return -1;
        ival = __Pyx_PyLong_AsSsize_t(x);
        Py_DECREF(x);
        return ival;
    }
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyLong_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) {
    CYTHON_UNUSED_VAR(b);
    return __Pyx_NewRef(Py_None);
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return __Pyx_NewRef(b ? Py_True: Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) {
    return PyLong_FromSize_t(ival);
}


/* MultiPhaseInitModuleState */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
#ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000)
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1
#else
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0
#endif
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS
#error "Module state with PEP489 requires atomics. Currently that's one of\
 C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics"
#endif
#if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#define __Pyx_ModuleStateLookup_Lock()
#define __Pyx_ModuleStateLookup_Unlock()
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
static PyMutex __Pyx_ModuleStateLookup_mutex = {0};
#define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(__cplusplus) && __cplusplus >= 201103L
#include <mutex>
static std::mutex __Pyx_ModuleStateLookup_mutex;
#define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock()
#define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock()
#elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__)
#include <threads.h>
static mtx_t __Pyx_ModuleStateLookup_mutex;
static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT;
static void __Pyx_ModuleStateLookup_initialize_mutex(void) {
    mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain);
}
#define __Pyx_ModuleStateLookup_Lock()\
  call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\
  mtx_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(HAVE_PTHREAD_H)
#include <pthread.h>
static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER;
#define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(_WIN32)
#include <Windows.h>  // synchapi.h on its own doesn't work
static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT;
#define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#else
#error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\
 Requires C standard >= C11, or C++ standard >= C++11,\
 or pthreads, or the Windows 32 API, or Python >= 3.13."
#endif
typedef struct {
    int64_t id;
    PyObject *module;
} __Pyx_InterpreterIdAndModule;
typedef struct {
    char interpreter_id_as_index;
    Py_ssize_t count;
    Py_ssize_t allocated;
    __Pyx_InterpreterIdAndModule table[1];
} __Pyx_ModuleStateLookupData;
#define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0;
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0;
#else
static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL;
#endif
static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound(
        __Pyx_InterpreterIdAndModule* table,
        Py_ssize_t count,
        int64_t interpreterId) {
    __Pyx_InterpreterIdAndModule* begin = table;
    __Pyx_InterpreterIdAndModule* end = begin + count;
    if (begin->id == interpreterId) {
        return begin;
    }
    while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
        __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2;
        if (halfway->id == interpreterId) {
            return halfway;
        }
        if (halfway->id < interpreterId) {
            begin = halfway;
        } else {
            end = halfway;
        }
    }
    for (; begin < end; ++begin) {
        if (begin->id >= interpreterId) return begin;
    }
    return begin;
}
static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(PyInterpreterState_Get());
    if (interpreter_id == -1) return NULL;
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
    {
        __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        if (likely(data)) {
            __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data);
            if (likely(data == new_data)) {
                goto read_finished;
            }
        }
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        __Pyx_ModuleStateLookup_Lock();
        __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter);
        data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
        __Pyx_ModuleStateLookup_Unlock();
    }
  read_finished:;
#else
    __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_InterpreterIdAndModule* found = NULL;
    if (unlikely(!data)) goto end;
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            found = data->table+interpreter_id;
        }
    } else {
        found = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
    }
  end:
    {
        PyObject *result=NULL;
        if (found && found->id == interpreter_id) {
            result = found->module;
        }
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
#endif
        return result;
    }
}
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) {
    while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0);
}
#else
#define __Pyx_ModuleStateLookup_wait_until_no_readers()
#endif
static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) {
    Py_ssize_t to_allocate = (*old_data)->allocated;
    while (to_allocate <= interpreter_id) {
        if (to_allocate == 0) to_allocate = 1;
        else to_allocate *= 2;
    }
    __Pyx_ModuleStateLookupData *new_data = *old_data;
    if (to_allocate != (*old_data)->allocated) {
         new_data = (__Pyx_ModuleStateLookupData *)realloc(
            *old_data,
            sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
        if (!new_data) {
            PyErr_NoMemory();
            return -1;
        }
        for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) {
            new_data->table[i].id = i;
            new_data->table[i].module = NULL;
        }
        new_data->allocated = to_allocate;
    }
    new_data->table[interpreter_id].module = module;
    if (new_data->count < interpreter_id+1) {
        new_data->count = interpreter_id+1;
    }
    *old_data = new_data;
    return 0;
}
static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) {
    __Pyx_InterpreterIdAndModule *read = data->table;
    __Pyx_InterpreterIdAndModule *write = data->table;
    __Pyx_InterpreterIdAndModule *end = read + data->count;
    for (; read<end; ++read) {
        if (read->module) {
            write->id = read->id;
            write->module = read->module;
            ++write;
        }
    }
    data->count = write - data->table;
    for (; write<end; ++write) {
        write->id = 0;
        write->module = NULL;
    }
    data->interpreter_id_as_index = 0;
}
static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    int result = 0;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_ModuleStateLookupData *new_data = old_data;
    if (!new_data) {
        new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData));
        if (!new_data) {
            result = -1;
            PyErr_NoMemory();
            goto end;
        }
        new_data->allocated = 1;
        new_data->interpreter_id_as_index = 1;
    }
    __Pyx_ModuleStateLookup_wait_until_no_readers();
    if (new_data->interpreter_id_as_index) {
        if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
            result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id);
            goto end;
        }
        __Pyx_State_ConvertFromInterpIdAsIndex(new_data);
    }
    {
        Py_ssize_t insert_at = 0;
        {
            __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
                new_data->table, new_data->count, interpreter_id);
            assert(lower_bound);
            insert_at = lower_bound - new_data->table;
            if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) {
                lower_bound->module = module;
                goto end;  // already in table, nothing more to do
            }
        }
        if (new_data->count+1 >= new_data->allocated) {
            Py_ssize_t to_allocate = (new_data->count+1)*2;
            new_data =
                (__Pyx_ModuleStateLookupData*)realloc(
                    new_data,
                    sizeof(__Pyx_ModuleStateLookupData) +
                    (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
            if (!new_data) {
                result = -1;
                new_data = old_data;
                PyErr_NoMemory();
                goto end;
            }
            new_data->allocated = to_allocate;
        }
        ++new_data->count;
        int64_t last_id = interpreter_id;
        PyObject *last_module = module;
        for (Py_ssize_t i=insert_at; i<new_data->count; ++i) {
            int64_t current_id = new_data->table[i].id;
            new_data->table[i].id = last_id;
            last_id = current_id;
            PyObject *current_module = new_data->table[i].module;
            new_data->table[i].module = last_module;
            last_module = current_module;
        }
    }
  end:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data);
#else
    __Pyx_ModuleStateLookup_data = new_data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return result;
}
static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data;
#endif
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            data->table[interpreter_id].module = NULL;
        }
        goto done;
    }
    {
        __Pyx_ModuleStateLookup_wait_until_no_readers();
        __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
        if (!lower_bound) goto done;
        if (lower_bound->id != interpreter_id) goto done;
        __Pyx_InterpreterIdAndModule *end = data->table+data->count;
        for (;lower_bound<end-1; ++lower_bound) {
            lower_bound->id = (lower_bound+1)->id;
            lower_bound->module = (lower_bound+1)->module;
        }
    }
    --data->count;
    if (data->count == 0) {
        free(data);
        data = NULL;
    }
  done:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data);
#else
    __Pyx_ModuleStateLookup_data = data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return 0;
}
#endif

/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
