/* Generated by Cython 3.0.12 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "chall",
        "sources": [
            "chall.pyx"
        ]
    },
    "module_name": "chall"
}
END: Cython Metadata */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
#if defined(CYTHON_LIMITED_API) && 0
  #ifndef Py_LIMITED_API
    #if CYTHON_LIMITED_API+0 > 0x03030000
      #define Py_LIMITED_API CYTHON_LIMITED_API
    #else
      #define Py_LIMITED_API 0x03030000
    #endif
  #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 < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#if defined(CYTHON_LIMITED_API) && CYTHON_LIMITED_API
#define __PYX_EXTRA_ABI_MODULE_NAME "limited"
#else
#define __PYX_EXTRA_ABI_MODULE_NAME ""
#endif
#define CYTHON_ABI "3_0_12" __PYX_EXTRA_ABI_MODULE_NAME
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
#define CYTHON_HEX_VERSION 0x03000CF0
#define CYTHON_FUTURE_DIVISION 1
#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
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#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(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_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #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_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 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_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #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_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 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 0
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 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_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #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_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 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_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #if PY_VERSION_HEX < 0x03090000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(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_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1 && PYPY_VERSION_NUM >= 0x07030C00)
  #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
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
#elif defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
  #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_NOGIL 0
  #undef CYTHON_CLINE_IN_TRACEBACK
  #define CYTHON_CLINE_IN_TRACEBACK 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_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 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
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 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_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 1
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #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
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
#elif defined(Py_GIL_DISABLED) || defined(Py_NOGIL)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #ifndef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL 1
  #endif
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #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_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #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 1
  #endif
  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS 0
  #endif
#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
  #define CYTHON_COMPILING_IN_NOGIL 0
  #ifndef 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
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0 || 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
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000 && PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(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
  #if PY_VERSION_HEX < 0x030400a1
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #elif !defined(CYTHON_USE_TP_FINALIZE)
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #if PY_VERSION_HEX < 0x030600B1
    #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)
  #endif
  #if PY_VERSION_HEX < 0x030700A3
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(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_FREELISTS
    #define CYTHON_USE_FREELISTS 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #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
  #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
#  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)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
            typedef unsigned char     uint8_t;
            typedef unsigned short    uint16_t;
            typedef unsigned int      uint32_t;
        #else
            typedef unsigned __int8   uint8_t;
            typedef unsigned __int16  uint16_t;
            typedef unsigned __int32  uint32_t;
        #endif
    #endif
    #if _MSC_VER < 1300
        #ifdef _WIN64
            typedef unsigned long long  __pyx_uintptr_t;
        #else
            typedef unsigned int        __pyx_uintptr_t;
        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#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 */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif
#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
#else
  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_DefaultClassType PyClass_Type
  #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)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    static CYTHON_INLINE 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;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #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 <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOO", 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, "iiiiiiOOOOOOOiOO", 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 (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
    #ifndef CO_OPTIMIZED
    #define CO_OPTIMIZED 0x0001
    #endif
    #ifndef CO_NEWLOCALS
    #define CO_NEWLOCALS 0x0002
    #endif
    #ifndef CO_VARARGS
    #define CO_VARARGS 0x0004
    #endif
    #ifndef CO_VARKEYWORDS
    #define CO_VARKEYWORDS 0x0008
    #endif
    #ifndef CO_ASYNC_GENERATOR
    #define CO_ASYNC_GENERATOR 0x0200
    #endif
    #ifndef CO_GENERATOR
    #define CO_GENERATOR 0x0020
    #endif
    #ifndef CO_COROUTINE
    #define CO_COROUTINE 0x0080
    #endif
#elif PY_VERSION_HEX >= 0x030B0000
  static CYTHON_INLINE 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;
    PyObject *empty_bytes = PyBytes_FromStringAndSize("", 0);
    if (!empty_bytes) return NULL;
    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, empty_bytes);
    Py_DECREF(empty_bytes);
    return result;
  }
#elif PY_VERSION_HEX >= 0x030800B2 && !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
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#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))
#endif
#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)
#endif
#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)
#endif
#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)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #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
  #else
  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
#endif
#if CYTHON_METH_FASTCALL
  #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
#endif
#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))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_MAJOR_VERSION >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#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) {
#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 __PYX_LIMITED_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #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_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_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()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
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;
}
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000 || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && PY_VERSION_HEX < 0x030d0000 && 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_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!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)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyObject_GenericSetAttr((PyObject*)tp, k, v)
#else
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyDict_SetItem(tp->tp_dict, k, v)
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#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 CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #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_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))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #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_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #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 && PY_VERSION_HEX >= 0x03090000
    #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
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535U : 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = (Py_UNICODE) ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#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) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef 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_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#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 PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if 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)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#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_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #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_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
#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_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #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_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#else
  static CYTHON_INLINE PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define __Pyx_Py3Int_Check(op)       PyLong_Check(op)
  #define __Pyx_Py3Int_CheckExact(op)  PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#else
  #define __Pyx_Py3Int_Check(op)       (PyLong_Check(op) || PyInt_Check(op))
  #define __Pyx_Py3Int_CheckExact(op)  (PyLong_CheckExact(op) || PyInt_CheckExact(op))
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#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; }
#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__chall
#define __PYX_HAVE_API__chall
/* Early includes */
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

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

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#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 PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#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_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_PyStr_FromCString(s)     __Pyx_PyStr_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
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
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_IntOrLong(PyObject* x);
#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_PyInt_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))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#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_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(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)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
#include <string.h>
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = (char) c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#include <string.h>
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* #### Code section: filename_table ### */

static const char *__pyx_f[] = {
  "chall.pyx",
};
/* #### Code section: utility_code_proto_before_types ### */
/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* #### Code section: numeric_typedefs ### */
/* #### Code section: complex_type_declarations ### */
/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
/* #### Code section: utility_code_proto ### */

/* --- Runtime support code (head) --- */
/* Refnanny.proto */
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
#endif
#if CYTHON_REFNANNY
  typedef struct {
    void (*INCREF)(void*, PyObject*, Py_ssize_t);
    void (*DECREF)(void*, PyObject*, Py_ssize_t);
    void (*GOTREF)(void*, PyObject*, Py_ssize_t);
    void (*GIVEREF)(void*, PyObject*, Py_ssize_t);
    void* (*SetupContext)(const char*, Py_ssize_t, const char*);
    void (*FinishContext)(void**);
  } __Pyx_RefNannyAPIStruct;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
#ifdef WITH_THREAD
  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
          if (acquire_gil) {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__));\
              PyGILState_Release(__pyx_gilstate_save);\
          } else {\
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__));\
          }
  #define __Pyx_RefNannyFinishContextNogil() {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __Pyx_RefNannyFinishContext();\
              PyGILState_Release(__pyx_gilstate_save);\
          }
#else
  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__))
  #define __Pyx_RefNannyFinishContextNogil() __Pyx_RefNannyFinishContext()
#endif
  #define __Pyx_RefNannyFinishContextNogil() {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __Pyx_RefNannyFinishContext();\
              PyGILState_Release(__pyx_gilstate_save);\
          }
  #define __Pyx_RefNannyFinishContext()\
          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_XINCREF(r)  do { if((r) == NULL); else {__Pyx_INCREF(r); }} while(0)
  #define __Pyx_XDECREF(r)  do { if((r) == NULL); else {__Pyx_DECREF(r); }} while(0)
  #define __Pyx_XGOTREF(r)  do { if((r) == NULL); else {__Pyx_GOTREF(r); }} while(0)
  #define __Pyx_XGIVEREF(r) do { if((r) == NULL); else {__Pyx_GIVEREF(r);}} while(0)
#else
  #define __Pyx_RefNannyDeclarations
  #define __Pyx_RefNannySetupContext(name, acquire_gil)
  #define __Pyx_RefNannyFinishContextNogil()
  #define __Pyx_RefNannyFinishContext()
  #define __Pyx_INCREF(r) Py_INCREF(r)
  #define __Pyx_DECREF(r) Py_DECREF(r)
  #define __Pyx_GOTREF(r)
  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
  #define __Pyx_XGIVEREF(r)
#endif
#define __Pyx_Py_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; Py_XDECREF(tmp);\
    } while (0)
#define __Pyx_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; __Pyx_XDECREF(tmp);\
    } while (0)
#define __Pyx_DECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; __Pyx_DECREF(tmp);\
    } while (0)
#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)

/* PyErrExceptionMatches.proto */
#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);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#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)
#else
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
#endif
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto */
#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))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#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)
#endif

/* PyObjectGetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

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

/* TupleAndListFromArray.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
#endif

/* IncludeStringH.proto */
#include <string.h>

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_Arg_VARARGS(args, i) PySequence_GetItem(args, i)
#elif CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_Arg_VARARGS(args, i) PyTuple_GET_ITEM(args, i)
#else
    #define __Pyx_Arg_VARARGS(args, i) PyTuple_GetItem(args, i)
#endif
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_Arg_NewRef_VARARGS(arg) __Pyx_NewRef(arg)
    #define __Pyx_Arg_XDECREF_VARARGS(arg) Py_XDECREF(arg)
#else
    #define __Pyx_Arg_NewRef_VARARGS(arg) arg
    #define __Pyx_Arg_XDECREF_VARARGS(arg)
#endif
#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_METH_FASTCALL
    #define __Pyx_Arg_FASTCALL(args, i) args[i]
    #define __Pyx_NumKwargs_FASTCALL(kwds) 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_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
    #define __Pyx_Arg_NewRef_FASTCALL(arg) arg  /* no-op, __Pyx_Arg_FASTCALL is direct and this needs
                                                   to have the same reference counting */
    #define __Pyx_Arg_XDECREF_FASTCALL(arg)
#else
    #define __Pyx_Arg_FASTCALL __Pyx_Arg_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
    #define __Pyx_Arg_NewRef_FASTCALL(arg) __Pyx_Arg_NewRef_VARARGS(arg)
    #define __Pyx_Arg_XDECREF_FASTCALL(arg) __Pyx_Arg_XDECREF_VARARGS(arg)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_VARARGS(args, start), stop - start)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_FASTCALL(args, start), stop - start)
#else
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,
    const char* function_name);

/* RaiseArgTupleInvalid.proto */
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);

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#if !CYTHON_VECTORCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
#endif
#define __Pyx_BUILD_ASSERT_EXPR(cond)\
    (sizeof(char [1 - 2*!(cond)]) - 1)
#ifndef Py_MEMBER_SIZE
#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
#endif
#if !CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03080000
  #include "frameobject.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
  #define __Pxy_PyFrame_Initialize_Offsets()
  #define __Pyx_PyFrame_GetLocalsplus(frame)  ((frame)->f_localsplus)
#else
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif
#endif
#endif

/* PyObjectCall.proto */
#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)
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto */
#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 **args, size_t nargs, PyObject *kwargs);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
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);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

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

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

/* 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

/* PyObjectCall2Args.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* StringJoin.proto */
#if PY_MAJOR_VERSION < 3
#define __Pyx_PyString_Join __Pyx_PyBytes_Join
#define __Pyx_PyBaseString_Join(s, v) (PyUnicode_CheckExact(s) ? PyUnicode_Join(s, v) : __Pyx_PyBytes_Join(s, v))
#else
#define __Pyx_PyString_Join PyUnicode_Join
#define __Pyx_PyBaseString_Join PyUnicode_Join
#endif
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values);

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

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_RemainderObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_RemainderObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceRemainder(op1, op2) : PyNumber_Remainder(op1, op2))
#endif

/* UnicodeAsUCS4.proto */
static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject*);

/* object_ord.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyObject_Ord(c)\
    (likely(PyUnicode_Check(c)) ? (long)__Pyx_PyUnicode_AsPy_UCS4(c) : __Pyx__PyObject_Ord(c))
#else
#define __Pyx_PyObject_Ord(c) __Pyx__PyObject_Ord(c)
#endif
static long __Pyx__PyObject_Ord(PyObject* c);

/* PyDictVersioning.proto */
#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)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (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_dict_cached_value;\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
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_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

/* UnicodeConcatInPlace.proto */
# if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
    #if CYTHON_REFNANNY
        #define __Pyx_PyUnicode_ConcatInPlace(left, right) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right, __pyx_refnanny)
    #else
        #define __Pyx_PyUnicode_ConcatInPlace(left, right) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right)
    #endif
    static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    );
#else
#define __Pyx_PyUnicode_ConcatInPlace __Pyx_PyUnicode_Concat
#endif
#define __Pyx_PyUnicode_ConcatInPlaceSafe(left, right) ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_ConcatInPlace(left, right))

/* StrConcatInPlace.proto */
#if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyStr_Concat __Pyx_PyUnicode_Concat
    #define __Pyx_PyStr_ConcatInPlace __Pyx_PyUnicode_ConcatInPlace
#else
    #define __Pyx_PyStr_Concat PyNumber_Add
    #define __Pyx_PyStr_ConcatInPlace PyNumber_InPlaceAdd
#endif
#define __Pyx_PyStr_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
    PyNumber_Add(a, b) : __Pyx_PyStr_Concat(a, b))
#define __Pyx_PyStr_ConcatInPlaceSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
    PyNumber_InPlaceAdd(a, b) : __Pyx_PyStr_ConcatInPlace(a, b))

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif PY_MAJOR_VERSION < 3
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyString_CheckExact(s)) ? PyUnicode_FromEncodedObject(s, NULL, "strict") :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);
#endif

/* IncludeStructmemberH.proto */
#include <structmember.h>

/* FixUpExtensionType.proto */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
#endif

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

/* FetchCommonType.proto */
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
#else
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases);
#endif

/* PyMethodNew.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *typesModule=NULL, *methodType=NULL, *result=NULL;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    typesModule = PyImport_ImportModule("types");
    if (!typesModule) return NULL;
    methodType = PyObject_GetAttrString(typesModule, "MethodType");
    Py_DECREF(typesModule);
    if (!methodType) return NULL;
    result = PyObject_CallFunctionObjArgs(methodType, func, self, NULL);
    Py_DECREF(methodType);
    return result;
}
#elif PY_MAJOR_VERSION >= 3
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);
}
#else
    #define __Pyx_PyMethod_New PyMethod_New
#endif

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

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED
#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_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_BACKPORT_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc);
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
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_METH_FASTCALL
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);
#if CYTHON_BACKPORT_VECTORCALL
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

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

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && PY_VERSION_HEX < 0x030d0000
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* PyObjectLookupSpecial.proto */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_LookupSpecialNoError(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 0)
#define __Pyx_PyObject_LookupSpecial(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 1)
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error);
#else
#define __Pyx_PyObject_LookupSpecialNoError(o,n) __Pyx_PyObject_GetAttrStrNoError(o,n)
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

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

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
#endif

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* GCCDiagnostics.proto */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
static __Pyx_TypeName __Pyx_PyType_GetName(PyTypeObject* tp);
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#else
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* FastTypeChecks.proto */
#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);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#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_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

/* CheckBinaryVersion.proto */
static unsigned long __Pyx_get_runtime_version(void);
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

/* #### Code section: module_declarations ### */

/* Module declarations from "chall" */
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "chall"
extern int __pyx_module_is_main_chall;
int __pyx_module_is_main_chall = 0;

/* Implementation of "chall" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_chr;
static PyObject *__pyx_builtin_print;
/* #### Code section: string_decls ### */
static const char __pyx_k_[] = "";
static const char __pyx_k_i[] = "i";
static const char __pyx_k__2[] = "\n";
static const char __pyx_k__3[] = "============================================================";
static const char __pyx_k__14[] = "   ";
static const char __pyx_k__15[] = "*";
static const char __pyx_k__28[] = "?";
static const char __pyx_k_chr[] = "chr";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_char[] = "char";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_join[] = "join";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_chall[] = "chall";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_base64[] = "base64";
static const char __pyx_k_decode[] = "decode";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_main_2[] = "main";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_result[] = "result";
static const char __pyx_k_stage1[] = "stage1";
static const char __pyx_k_stage2[] = "stage2";
static const char __pyx_k_encoded[] = "encoded";
static const char __pyx_k_factory[] = "factory";
static const char __pyx_k_hashlib[] = "hashlib";
static const char __pyx_k_latin_1[] = "latin-1";
static const char __pyx_k_new_pos[] = "new_pos";
static const char __pyx_k_old_pos[] = "old_pos";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_alphabet[] = "alphabet";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_set_name[] = "__set_name__";
static const char __pyx_k_YOUR_TASK[] = "YOUR TASK:";
static const char __pyx_k_b64encode[] = "b64encode";
static const char __pyx_k_blueprint[] = "blueprint";
static const char __pyx_k_chall_pyx[] = "chall.pyx";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_old_index[] = "old_index";
static const char __pyx_k_data_bytes[] = "data_bytes";
static const char __pyx_k_factory_id[] = "factory_id";
static const char __pyx_k_final_result[] = "final_result";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_magic_offset[] = "magic_offset";
static const char __pyx_k_HiddenFactory[] = "HiddenFactory";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_init_subclass[] = "__init_subclass__";
static const char __pyx_k_stage3_encode[] = "_stage3_encode";
static const char __pyx_k_HIDDEN_FACTORY[] = "HIDDEN FACTORY";
static const char __pyx_k_custom_alphabet[] = "custom_alphabet";
static const char __pyx_k_stage2_scramble[] = "_stage2_scramble";
static const char __pyx_k_HOLOGY8_REDACTED[] = "HOLOGY8{REDACTED}";
static const char __pyx_k_secret_blueprint[] = "secret_blueprint";
static const char __pyx_k_stage1_transform[] = "_stage1_transform";
static const char __pyx_k_encrypt_blueprint[] = "encrypt_blueprint";
static const char __pyx_k_secret_multiplier[] = "secret_multiplier";
static const char __pyx_k_standard_alphabet[] = "standard_alphabet";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_ENCRYPTED_BLUEPRINT[] = "\360\237\223\212 ENCRYPTED BLUEPRINT:";
static const char __pyx_k_encrypted_blueprint[] = "encrypted_blueprint";
static const char __pyx_k_HiddenFactory___init[] = "HiddenFactory.__init__";
static const char __pyx_k_CHALLENGE_DESCRIPTION[] = "CHALLENGE DESCRIPTION:";
static const char __pyx_k_HiddenFactory__stage3_encode[] = "HiddenFactory._stage3_encode";
static const char __pyx_k_Can_you_reverse_engineer_their[] = "   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,";
static const char __pyx_k_HiddenFactory__stage2_scramble[] = "HiddenFactory._stage2_scramble";
static const char __pyx_k_Analyze_this_source_code_and_de[] = "   Analyze this source code and decrypt the encrypted blueprint below.";
static const char __pyx_k_HiddenFactory__stage1_transform[] = "HiddenFactory._stage1_transform";
static const char __pyx_k_HiddenFactory_encrypt_blueprint[] = "HiddenFactory.encrypt_blueprint";
static const char __pyx_k_The_factory_s_engineers_have_de[] = "   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.";
static const char __pyx_k_Welcome_to_the_Hidden_Factory_B[] = "   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.";
static const char __pyx_k_tracing_back_through_their_secu[] = "   tracing back through their security layers, and carefully reconstructing the original information.";
static const char __pyx_k_0123456789ABCDEFGHIJKLMNOPQRSTUV[] = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/";
static const char __pyx_k_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef[] = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_";
static const char __pyx_k_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2[] = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_5chall_13HiddenFactory___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5chall_13HiddenFactory_2_stage1_transform(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_data); /* proto */
static PyObject *__pyx_pf_5chall_13HiddenFactory_4_stage2_scramble(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_data); /* proto */
static PyObject *__pyx_pf_5chall_13HiddenFactory_6_stage3_encode(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, PyObject *__pyx_v_data); /* proto */
static PyObject *__pyx_pf_5chall_13HiddenFactory_8encrypt_blueprint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_blueprint); /* proto */
static PyObject *__pyx_pf_5chall_main(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
typedef struct {
  PyObject *__pyx_d;
  PyObject *__pyx_b;
  PyObject *__pyx_cython_runtime;
  PyObject *__pyx_empty_tuple;
  PyObject *__pyx_empty_bytes;
  PyObject *__pyx_empty_unicode;
  #ifdef __Pyx_CyFunction_USED
  PyTypeObject *__pyx_CyFunctionType;
  #endif
  #ifdef __Pyx_FusedFunction_USED
  PyTypeObject *__pyx_FusedFunctionType;
  #endif
  #ifdef __Pyx_Generator_USED
  PyTypeObject *__pyx_GeneratorType;
  #endif
  #ifdef __Pyx_IterableCoroutine_USED
  PyTypeObject *__pyx_IterableCoroutineType;
  #endif
  #ifdef __Pyx_Coroutine_USED
  PyTypeObject *__pyx_CoroutineAwaitType;
  #endif
  #ifdef __Pyx_Coroutine_USED
  PyTypeObject *__pyx_CoroutineType;
  #endif
  #if CYTHON_USE_MODULE_STATE
  #endif
  PyObject *__pyx_kp_s_;
  PyObject *__pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV;
  PyObject *__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef;
  PyObject *__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2;
  PyObject *__pyx_kp_s_Analyze_this_source_code_and_de;
  PyObject *__pyx_kp_s_CHALLENGE_DESCRIPTION;
  PyObject *__pyx_kp_s_Can_you_reverse_engineer_their;
  PyObject *__pyx_kp_u_ENCRYPTED_BLUEPRINT;
  PyObject *__pyx_kp_s_HIDDEN_FACTORY;
  PyObject *__pyx_kp_s_HOLOGY8_REDACTED;
  PyObject *__pyx_n_s_HiddenFactory;
  PyObject *__pyx_n_s_HiddenFactory___init;
  PyObject *__pyx_n_s_HiddenFactory__stage1_transform;
  PyObject *__pyx_n_s_HiddenFactory__stage2_scramble;
  PyObject *__pyx_n_s_HiddenFactory__stage3_encode;
  PyObject *__pyx_n_s_HiddenFactory_encrypt_blueprint;
  PyObject *__pyx_kp_s_The_factory_s_engineers_have_de;
  PyObject *__pyx_kp_s_Welcome_to_the_Hidden_Factory_B;
  PyObject *__pyx_kp_s_YOUR_TASK;
  PyObject *__pyx_kp_u__14;
  PyObject *__pyx_n_s__15;
  PyObject *__pyx_kp_s__2;
  PyObject *__pyx_n_s__28;
  PyObject *__pyx_kp_s__3;
  PyObject *__pyx_n_s_alphabet;
  PyObject *__pyx_n_s_asyncio_coroutines;
  PyObject *__pyx_n_s_b64encode;
  PyObject *__pyx_n_s_base64;
  PyObject *__pyx_n_s_blueprint;
  PyObject *__pyx_n_s_chall;
  PyObject *__pyx_kp_s_chall_pyx;
  PyObject *__pyx_n_s_char;
  PyObject *__pyx_n_s_chr;
  PyObject *__pyx_n_s_class_getitem;
  PyObject *__pyx_n_s_cline_in_traceback;
  PyObject *__pyx_n_s_custom_alphabet;
  PyObject *__pyx_n_s_data;
  PyObject *__pyx_n_s_data_bytes;
  PyObject *__pyx_n_s_decode;
  PyObject *__pyx_n_s_dict;
  PyObject *__pyx_n_s_doc;
  PyObject *__pyx_n_s_encode;
  PyObject *__pyx_n_s_encoded;
  PyObject *__pyx_n_s_encrypt_blueprint;
  PyObject *__pyx_n_s_encrypted_blueprint;
  PyObject *__pyx_n_s_enumerate;
  PyObject *__pyx_n_s_factory;
  PyObject *__pyx_n_s_factory_id;
  PyObject *__pyx_n_s_final_result;
  PyObject *__pyx_n_s_hashlib;
  PyObject *__pyx_n_s_i;
  PyObject *__pyx_n_s_import;
  PyObject *__pyx_n_s_index;
  PyObject *__pyx_n_s_init;
  PyObject *__pyx_n_s_init_subclass;
  PyObject *__pyx_n_s_initializing;
  PyObject *__pyx_n_s_is_coroutine;
  PyObject *__pyx_n_s_join;
  PyObject *__pyx_kp_s_latin_1;
  PyObject *__pyx_n_s_magic_offset;
  PyObject *__pyx_n_s_main;
  PyObject *__pyx_n_s_main_2;
  PyObject *__pyx_n_s_metaclass;
  PyObject *__pyx_n_s_module;
  PyObject *__pyx_n_s_name;
  PyObject *__pyx_n_s_new_pos;
  PyObject *__pyx_n_s_old_index;
  PyObject *__pyx_n_s_old_pos;
  PyObject *__pyx_n_s_prepare;
  PyObject *__pyx_n_s_print;
  PyObject *__pyx_n_s_qualname;
  PyObject *__pyx_n_s_result;
  PyObject *__pyx_n_s_secret_blueprint;
  PyObject *__pyx_n_s_secret_multiplier;
  PyObject *__pyx_n_s_self;
  PyObject *__pyx_n_s_set_name;
  PyObject *__pyx_n_s_spec;
  PyObject *__pyx_n_s_stage1;
  PyObject *__pyx_n_s_stage1_transform;
  PyObject *__pyx_n_s_stage2;
  PyObject *__pyx_n_s_stage2_scramble;
  PyObject *__pyx_n_s_stage3_encode;
  PyObject *__pyx_n_s_standard_alphabet;
  PyObject *__pyx_n_s_super;
  PyObject *__pyx_n_s_test;
  PyObject *__pyx_kp_s_tracing_back_through_their_secu;
  PyObject *__pyx_n_s_val;
  PyObject *__pyx_int_0;
  PyObject *__pyx_int_1;
  PyObject *__pyx_int_7;
  PyObject *__pyx_int_23;
  PyObject *__pyx_int_67;
  PyObject *__pyx_int_70;
  PyObject *__pyx_int_84;
  PyObject *__pyx_int_256;
  PyObject *__pyx_tuple__4;
  PyObject *__pyx_tuple__5;
  PyObject *__pyx_tuple__6;
  PyObject *__pyx_tuple__7;
  PyObject *__pyx_tuple__8;
  PyObject *__pyx_tuple__9;
  PyObject *__pyx_tuple__10;
  PyObject *__pyx_tuple__11;
  PyObject *__pyx_tuple__12;
  PyObject *__pyx_tuple__13;
  PyObject *__pyx_tuple__16;
  PyObject *__pyx_tuple__18;
  PyObject *__pyx_tuple__20;
  PyObject *__pyx_tuple__22;
  PyObject *__pyx_tuple__24;
  PyObject *__pyx_tuple__26;
  PyObject *__pyx_codeobj__17;
  PyObject *__pyx_codeobj__19;
  PyObject *__pyx_codeobj__21;
  PyObject *__pyx_codeobj__23;
  PyObject *__pyx_codeobj__25;
  PyObject *__pyx_codeobj__27;
} __pyx_mstate;

#if CYTHON_USE_MODULE_STATE
#ifdef __cplusplus
namespace {
  extern struct PyModuleDef __pyx_moduledef;
} /* anonymous namespace */
#else
static struct PyModuleDef __pyx_moduledef;
#endif

#define __pyx_mstate(o) ((__pyx_mstate *)__Pyx_PyModule_GetState(o))

#define __pyx_mstate_global (__pyx_mstate(PyState_FindModule(&__pyx_moduledef)))

#define __pyx_m (PyState_FindModule(&__pyx_moduledef))
#else
static __pyx_mstate __pyx_mstate_global_static =
#ifdef __cplusplus
    {};
#else
    {0};
#endif
static __pyx_mstate *__pyx_mstate_global = &__pyx_mstate_global_static;
#endif
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_clear(PyObject *m) {
  __pyx_mstate *clear_module_state = __pyx_mstate(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
  #endif
  Py_CLEAR(clear_module_state->__pyx_kp_s_);
  Py_CLEAR(clear_module_state->__pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV);
  Py_CLEAR(clear_module_state->__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef);
  Py_CLEAR(clear_module_state->__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Analyze_this_source_code_and_de);
  Py_CLEAR(clear_module_state->__pyx_kp_s_CHALLENGE_DESCRIPTION);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Can_you_reverse_engineer_their);
  Py_CLEAR(clear_module_state->__pyx_kp_u_ENCRYPTED_BLUEPRINT);
  Py_CLEAR(clear_module_state->__pyx_kp_s_HIDDEN_FACTORY);
  Py_CLEAR(clear_module_state->__pyx_kp_s_HOLOGY8_REDACTED);
  Py_CLEAR(clear_module_state->__pyx_n_s_HiddenFactory);
  Py_CLEAR(clear_module_state->__pyx_n_s_HiddenFactory___init);
  Py_CLEAR(clear_module_state->__pyx_n_s_HiddenFactory__stage1_transform);
  Py_CLEAR(clear_module_state->__pyx_n_s_HiddenFactory__stage2_scramble);
  Py_CLEAR(clear_module_state->__pyx_n_s_HiddenFactory__stage3_encode);
  Py_CLEAR(clear_module_state->__pyx_n_s_HiddenFactory_encrypt_blueprint);
  Py_CLEAR(clear_module_state->__pyx_kp_s_The_factory_s_engineers_have_de);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Welcome_to_the_Hidden_Factory_B);
  Py_CLEAR(clear_module_state->__pyx_kp_s_YOUR_TASK);
  Py_CLEAR(clear_module_state->__pyx_kp_u__14);
  Py_CLEAR(clear_module_state->__pyx_n_s__15);
  Py_CLEAR(clear_module_state->__pyx_kp_s__2);
  Py_CLEAR(clear_module_state->__pyx_n_s__28);
  Py_CLEAR(clear_module_state->__pyx_kp_s__3);
  Py_CLEAR(clear_module_state->__pyx_n_s_alphabet);
  Py_CLEAR(clear_module_state->__pyx_n_s_asyncio_coroutines);
  Py_CLEAR(clear_module_state->__pyx_n_s_b64encode);
  Py_CLEAR(clear_module_state->__pyx_n_s_base64);
  Py_CLEAR(clear_module_state->__pyx_n_s_blueprint);
  Py_CLEAR(clear_module_state->__pyx_n_s_chall);
  Py_CLEAR(clear_module_state->__pyx_kp_s_chall_pyx);
  Py_CLEAR(clear_module_state->__pyx_n_s_char);
  Py_CLEAR(clear_module_state->__pyx_n_s_chr);
  Py_CLEAR(clear_module_state->__pyx_n_s_class_getitem);
  Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
  Py_CLEAR(clear_module_state->__pyx_n_s_custom_alphabet);
  Py_CLEAR(clear_module_state->__pyx_n_s_data);
  Py_CLEAR(clear_module_state->__pyx_n_s_data_bytes);
  Py_CLEAR(clear_module_state->__pyx_n_s_decode);
  Py_CLEAR(clear_module_state->__pyx_n_s_dict);
  Py_CLEAR(clear_module_state->__pyx_n_s_doc);
  Py_CLEAR(clear_module_state->__pyx_n_s_encode);
  Py_CLEAR(clear_module_state->__pyx_n_s_encoded);
  Py_CLEAR(clear_module_state->__pyx_n_s_encrypt_blueprint);
  Py_CLEAR(clear_module_state->__pyx_n_s_encrypted_blueprint);
  Py_CLEAR(clear_module_state->__pyx_n_s_enumerate);
  Py_CLEAR(clear_module_state->__pyx_n_s_factory);
  Py_CLEAR(clear_module_state->__pyx_n_s_factory_id);
  Py_CLEAR(clear_module_state->__pyx_n_s_final_result);
  Py_CLEAR(clear_module_state->__pyx_n_s_hashlib);
  Py_CLEAR(clear_module_state->__pyx_n_s_i);
  Py_CLEAR(clear_module_state->__pyx_n_s_import);
  Py_CLEAR(clear_module_state->__pyx_n_s_index);
  Py_CLEAR(clear_module_state->__pyx_n_s_init);
  Py_CLEAR(clear_module_state->__pyx_n_s_init_subclass);
  Py_CLEAR(clear_module_state->__pyx_n_s_initializing);
  Py_CLEAR(clear_module_state->__pyx_n_s_is_coroutine);
  Py_CLEAR(clear_module_state->__pyx_n_s_join);
  Py_CLEAR(clear_module_state->__pyx_kp_s_latin_1);
  Py_CLEAR(clear_module_state->__pyx_n_s_magic_offset);
  Py_CLEAR(clear_module_state->__pyx_n_s_main);
  Py_CLEAR(clear_module_state->__pyx_n_s_main_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_metaclass);
  Py_CLEAR(clear_module_state->__pyx_n_s_module);
  Py_CLEAR(clear_module_state->__pyx_n_s_name);
  Py_CLEAR(clear_module_state->__pyx_n_s_new_pos);
  Py_CLEAR(clear_module_state->__pyx_n_s_old_index);
  Py_CLEAR(clear_module_state->__pyx_n_s_old_pos);
  Py_CLEAR(clear_module_state->__pyx_n_s_prepare);
  Py_CLEAR(clear_module_state->__pyx_n_s_print);
  Py_CLEAR(clear_module_state->__pyx_n_s_qualname);
  Py_CLEAR(clear_module_state->__pyx_n_s_result);
  Py_CLEAR(clear_module_state->__pyx_n_s_secret_blueprint);
  Py_CLEAR(clear_module_state->__pyx_n_s_secret_multiplier);
  Py_CLEAR(clear_module_state->__pyx_n_s_self);
  Py_CLEAR(clear_module_state->__pyx_n_s_set_name);
  Py_CLEAR(clear_module_state->__pyx_n_s_spec);
  Py_CLEAR(clear_module_state->__pyx_n_s_stage1);
  Py_CLEAR(clear_module_state->__pyx_n_s_stage1_transform);
  Py_CLEAR(clear_module_state->__pyx_n_s_stage2);
  Py_CLEAR(clear_module_state->__pyx_n_s_stage2_scramble);
  Py_CLEAR(clear_module_state->__pyx_n_s_stage3_encode);
  Py_CLEAR(clear_module_state->__pyx_n_s_standard_alphabet);
  Py_CLEAR(clear_module_state->__pyx_n_s_super);
  Py_CLEAR(clear_module_state->__pyx_n_s_test);
  Py_CLEAR(clear_module_state->__pyx_kp_s_tracing_back_through_their_secu);
  Py_CLEAR(clear_module_state->__pyx_n_s_val);
  Py_CLEAR(clear_module_state->__pyx_int_0);
  Py_CLEAR(clear_module_state->__pyx_int_1);
  Py_CLEAR(clear_module_state->__pyx_int_7);
  Py_CLEAR(clear_module_state->__pyx_int_23);
  Py_CLEAR(clear_module_state->__pyx_int_67);
  Py_CLEAR(clear_module_state->__pyx_int_70);
  Py_CLEAR(clear_module_state->__pyx_int_84);
  Py_CLEAR(clear_module_state->__pyx_int_256);
  Py_CLEAR(clear_module_state->__pyx_tuple__4);
  Py_CLEAR(clear_module_state->__pyx_tuple__5);
  Py_CLEAR(clear_module_state->__pyx_tuple__6);
  Py_CLEAR(clear_module_state->__pyx_tuple__7);
  Py_CLEAR(clear_module_state->__pyx_tuple__8);
  Py_CLEAR(clear_module_state->__pyx_tuple__9);
  Py_CLEAR(clear_module_state->__pyx_tuple__10);
  Py_CLEAR(clear_module_state->__pyx_tuple__11);
  Py_CLEAR(clear_module_state->__pyx_tuple__12);
  Py_CLEAR(clear_module_state->__pyx_tuple__13);
  Py_CLEAR(clear_module_state->__pyx_tuple__16);
  Py_CLEAR(clear_module_state->__pyx_tuple__18);
  Py_CLEAR(clear_module_state->__pyx_tuple__20);
  Py_CLEAR(clear_module_state->__pyx_tuple__22);
  Py_CLEAR(clear_module_state->__pyx_tuple__24);
  Py_CLEAR(clear_module_state->__pyx_tuple__26);
  Py_CLEAR(clear_module_state->__pyx_codeobj__17);
  Py_CLEAR(clear_module_state->__pyx_codeobj__19);
  Py_CLEAR(clear_module_state->__pyx_codeobj__21);
  Py_CLEAR(clear_module_state->__pyx_codeobj__23);
  Py_CLEAR(clear_module_state->__pyx_codeobj__25);
  Py_CLEAR(clear_module_state->__pyx_codeobj__27);
  return 0;
}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstate *traverse_module_state = __pyx_mstate(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  Py_VISIT(traverse_module_state->__pyx_empty_tuple);
  Py_VISIT(traverse_module_state->__pyx_empty_bytes);
  Py_VISIT(traverse_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_VISIT(traverse_module_state->__pyx_FusedFunctionType);
  #endif
  Py_VISIT(traverse_module_state->__pyx_kp_s_);
  Py_VISIT(traverse_module_state->__pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV);
  Py_VISIT(traverse_module_state->__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef);
  Py_VISIT(traverse_module_state->__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Analyze_this_source_code_and_de);
  Py_VISIT(traverse_module_state->__pyx_kp_s_CHALLENGE_DESCRIPTION);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Can_you_reverse_engineer_their);
  Py_VISIT(traverse_module_state->__pyx_kp_u_ENCRYPTED_BLUEPRINT);
  Py_VISIT(traverse_module_state->__pyx_kp_s_HIDDEN_FACTORY);
  Py_VISIT(traverse_module_state->__pyx_kp_s_HOLOGY8_REDACTED);
  Py_VISIT(traverse_module_state->__pyx_n_s_HiddenFactory);
  Py_VISIT(traverse_module_state->__pyx_n_s_HiddenFactory___init);
  Py_VISIT(traverse_module_state->__pyx_n_s_HiddenFactory__stage1_transform);
  Py_VISIT(traverse_module_state->__pyx_n_s_HiddenFactory__stage2_scramble);
  Py_VISIT(traverse_module_state->__pyx_n_s_HiddenFactory__stage3_encode);
  Py_VISIT(traverse_module_state->__pyx_n_s_HiddenFactory_encrypt_blueprint);
  Py_VISIT(traverse_module_state->__pyx_kp_s_The_factory_s_engineers_have_de);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Welcome_to_the_Hidden_Factory_B);
  Py_VISIT(traverse_module_state->__pyx_kp_s_YOUR_TASK);
  Py_VISIT(traverse_module_state->__pyx_kp_u__14);
  Py_VISIT(traverse_module_state->__pyx_n_s__15);
  Py_VISIT(traverse_module_state->__pyx_kp_s__2);
  Py_VISIT(traverse_module_state->__pyx_n_s__28);
  Py_VISIT(traverse_module_state->__pyx_kp_s__3);
  Py_VISIT(traverse_module_state->__pyx_n_s_alphabet);
  Py_VISIT(traverse_module_state->__pyx_n_s_asyncio_coroutines);
  Py_VISIT(traverse_module_state->__pyx_n_s_b64encode);
  Py_VISIT(traverse_module_state->__pyx_n_s_base64);
  Py_VISIT(traverse_module_state->__pyx_n_s_blueprint);
  Py_VISIT(traverse_module_state->__pyx_n_s_chall);
  Py_VISIT(traverse_module_state->__pyx_kp_s_chall_pyx);
  Py_VISIT(traverse_module_state->__pyx_n_s_char);
  Py_VISIT(traverse_module_state->__pyx_n_s_chr);
  Py_VISIT(traverse_module_state->__pyx_n_s_class_getitem);
  Py_VISIT(traverse_module_state->__pyx_n_s_cline_in_traceback);
  Py_VISIT(traverse_module_state->__pyx_n_s_custom_alphabet);
  Py_VISIT(traverse_module_state->__pyx_n_s_data);
  Py_VISIT(traverse_module_state->__pyx_n_s_data_bytes);
  Py_VISIT(traverse_module_state->__pyx_n_s_decode);
  Py_VISIT(traverse_module_state->__pyx_n_s_dict);
  Py_VISIT(traverse_module_state->__pyx_n_s_doc);
  Py_VISIT(traverse_module_state->__pyx_n_s_encode);
  Py_VISIT(traverse_module_state->__pyx_n_s_encoded);
  Py_VISIT(traverse_module_state->__pyx_n_s_encrypt_blueprint);
  Py_VISIT(traverse_module_state->__pyx_n_s_encrypted_blueprint);
  Py_VISIT(traverse_module_state->__pyx_n_s_enumerate);
  Py_VISIT(traverse_module_state->__pyx_n_s_factory);
  Py_VISIT(traverse_module_state->__pyx_n_s_factory_id);
  Py_VISIT(traverse_module_state->__pyx_n_s_final_result);
  Py_VISIT(traverse_module_state->__pyx_n_s_hashlib);
  Py_VISIT(traverse_module_state->__pyx_n_s_i);
  Py_VISIT(traverse_module_state->__pyx_n_s_import);
  Py_VISIT(traverse_module_state->__pyx_n_s_index);
  Py_VISIT(traverse_module_state->__pyx_n_s_init);
  Py_VISIT(traverse_module_state->__pyx_n_s_init_subclass);
  Py_VISIT(traverse_module_state->__pyx_n_s_initializing);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_coroutine);
  Py_VISIT(traverse_module_state->__pyx_n_s_join);
  Py_VISIT(traverse_module_state->__pyx_kp_s_latin_1);
  Py_VISIT(traverse_module_state->__pyx_n_s_magic_offset);
  Py_VISIT(traverse_module_state->__pyx_n_s_main);
  Py_VISIT(traverse_module_state->__pyx_n_s_main_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_metaclass);
  Py_VISIT(traverse_module_state->__pyx_n_s_module);
  Py_VISIT(traverse_module_state->__pyx_n_s_name);
  Py_VISIT(traverse_module_state->__pyx_n_s_new_pos);
  Py_VISIT(traverse_module_state->__pyx_n_s_old_index);
  Py_VISIT(traverse_module_state->__pyx_n_s_old_pos);
  Py_VISIT(traverse_module_state->__pyx_n_s_prepare);
  Py_VISIT(traverse_module_state->__pyx_n_s_print);
  Py_VISIT(traverse_module_state->__pyx_n_s_qualname);
  Py_VISIT(traverse_module_state->__pyx_n_s_result);
  Py_VISIT(traverse_module_state->__pyx_n_s_secret_blueprint);
  Py_VISIT(traverse_module_state->__pyx_n_s_secret_multiplier);
  Py_VISIT(traverse_module_state->__pyx_n_s_self);
  Py_VISIT(traverse_module_state->__pyx_n_s_set_name);
  Py_VISIT(traverse_module_state->__pyx_n_s_spec);
  Py_VISIT(traverse_module_state->__pyx_n_s_stage1);
  Py_VISIT(traverse_module_state->__pyx_n_s_stage1_transform);
  Py_VISIT(traverse_module_state->__pyx_n_s_stage2);
  Py_VISIT(traverse_module_state->__pyx_n_s_stage2_scramble);
  Py_VISIT(traverse_module_state->__pyx_n_s_stage3_encode);
  Py_VISIT(traverse_module_state->__pyx_n_s_standard_alphabet);
  Py_VISIT(traverse_module_state->__pyx_n_s_super);
  Py_VISIT(traverse_module_state->__pyx_n_s_test);
  Py_VISIT(traverse_module_state->__pyx_kp_s_tracing_back_through_their_secu);
  Py_VISIT(traverse_module_state->__pyx_n_s_val);
  Py_VISIT(traverse_module_state->__pyx_int_0);
  Py_VISIT(traverse_module_state->__pyx_int_1);
  Py_VISIT(traverse_module_state->__pyx_int_7);
  Py_VISIT(traverse_module_state->__pyx_int_23);
  Py_VISIT(traverse_module_state->__pyx_int_67);
  Py_VISIT(traverse_module_state->__pyx_int_70);
  Py_VISIT(traverse_module_state->__pyx_int_84);
  Py_VISIT(traverse_module_state->__pyx_int_256);
  Py_VISIT(traverse_module_state->__pyx_tuple__4);
  Py_VISIT(traverse_module_state->__pyx_tuple__5);
  Py_VISIT(traverse_module_state->__pyx_tuple__6);
  Py_VISIT(traverse_module_state->__pyx_tuple__7);
  Py_VISIT(traverse_module_state->__pyx_tuple__8);
  Py_VISIT(traverse_module_state->__pyx_tuple__9);
  Py_VISIT(traverse_module_state->__pyx_tuple__10);
  Py_VISIT(traverse_module_state->__pyx_tuple__11);
  Py_VISIT(traverse_module_state->__pyx_tuple__12);
  Py_VISIT(traverse_module_state->__pyx_tuple__13);
  Py_VISIT(traverse_module_state->__pyx_tuple__16);
  Py_VISIT(traverse_module_state->__pyx_tuple__18);
  Py_VISIT(traverse_module_state->__pyx_tuple__20);
  Py_VISIT(traverse_module_state->__pyx_tuple__22);
  Py_VISIT(traverse_module_state->__pyx_tuple__24);
  Py_VISIT(traverse_module_state->__pyx_tuple__26);
  Py_VISIT(traverse_module_state->__pyx_codeobj__17);
  Py_VISIT(traverse_module_state->__pyx_codeobj__19);
  Py_VISIT(traverse_module_state->__pyx_codeobj__21);
  Py_VISIT(traverse_module_state->__pyx_codeobj__23);
  Py_VISIT(traverse_module_state->__pyx_codeobj__25);
  Py_VISIT(traverse_module_state->__pyx_codeobj__27);
  return 0;
}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_kp_s_ __pyx_mstate_global->__pyx_kp_s_
#define __pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV __pyx_mstate_global->__pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV
#define __pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef __pyx_mstate_global->__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef
#define __pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2 __pyx_mstate_global->__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2
#define __pyx_kp_s_Analyze_this_source_code_and_de __pyx_mstate_global->__pyx_kp_s_Analyze_this_source_code_and_de
#define __pyx_kp_s_CHALLENGE_DESCRIPTION __pyx_mstate_global->__pyx_kp_s_CHALLENGE_DESCRIPTION
#define __pyx_kp_s_Can_you_reverse_engineer_their __pyx_mstate_global->__pyx_kp_s_Can_you_reverse_engineer_their
#define __pyx_kp_u_ENCRYPTED_BLUEPRINT __pyx_mstate_global->__pyx_kp_u_ENCRYPTED_BLUEPRINT
#define __pyx_kp_s_HIDDEN_FACTORY __pyx_mstate_global->__pyx_kp_s_HIDDEN_FACTORY
#define __pyx_kp_s_HOLOGY8_REDACTED __pyx_mstate_global->__pyx_kp_s_HOLOGY8_REDACTED
#define __pyx_n_s_HiddenFactory __pyx_mstate_global->__pyx_n_s_HiddenFactory
#define __pyx_n_s_HiddenFactory___init __pyx_mstate_global->__pyx_n_s_HiddenFactory___init
#define __pyx_n_s_HiddenFactory__stage1_transform __pyx_mstate_global->__pyx_n_s_HiddenFactory__stage1_transform
#define __pyx_n_s_HiddenFactory__stage2_scramble __pyx_mstate_global->__pyx_n_s_HiddenFactory__stage2_scramble
#define __pyx_n_s_HiddenFactory__stage3_encode __pyx_mstate_global->__pyx_n_s_HiddenFactory__stage3_encode
#define __pyx_n_s_HiddenFactory_encrypt_blueprint __pyx_mstate_global->__pyx_n_s_HiddenFactory_encrypt_blueprint
#define __pyx_kp_s_The_factory_s_engineers_have_de __pyx_mstate_global->__pyx_kp_s_The_factory_s_engineers_have_de
#define __pyx_kp_s_Welcome_to_the_Hidden_Factory_B __pyx_mstate_global->__pyx_kp_s_Welcome_to_the_Hidden_Factory_B
#define __pyx_kp_s_YOUR_TASK __pyx_mstate_global->__pyx_kp_s_YOUR_TASK
#define __pyx_kp_u__14 __pyx_mstate_global->__pyx_kp_u__14
#define __pyx_n_s__15 __pyx_mstate_global->__pyx_n_s__15
#define __pyx_kp_s__2 __pyx_mstate_global->__pyx_kp_s__2
#define __pyx_n_s__28 __pyx_mstate_global->__pyx_n_s__28
#define __pyx_kp_s__3 __pyx_mstate_global->__pyx_kp_s__3
#define __pyx_n_s_alphabet __pyx_mstate_global->__pyx_n_s_alphabet
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_s_b64encode __pyx_mstate_global->__pyx_n_s_b64encode
#define __pyx_n_s_base64 __pyx_mstate_global->__pyx_n_s_base64
#define __pyx_n_s_blueprint __pyx_mstate_global->__pyx_n_s_blueprint
#define __pyx_n_s_chall __pyx_mstate_global->__pyx_n_s_chall
#define __pyx_kp_s_chall_pyx __pyx_mstate_global->__pyx_kp_s_chall_pyx
#define __pyx_n_s_char __pyx_mstate_global->__pyx_n_s_char
#define __pyx_n_s_chr __pyx_mstate_global->__pyx_n_s_chr
#define __pyx_n_s_class_getitem __pyx_mstate_global->__pyx_n_s_class_getitem
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_custom_alphabet __pyx_mstate_global->__pyx_n_s_custom_alphabet
#define __pyx_n_s_data __pyx_mstate_global->__pyx_n_s_data
#define __pyx_n_s_data_bytes __pyx_mstate_global->__pyx_n_s_data_bytes
#define __pyx_n_s_decode __pyx_mstate_global->__pyx_n_s_decode
#define __pyx_n_s_dict __pyx_mstate_global->__pyx_n_s_dict
#define __pyx_n_s_doc __pyx_mstate_global->__pyx_n_s_doc
#define __pyx_n_s_encode __pyx_mstate_global->__pyx_n_s_encode
#define __pyx_n_s_encoded __pyx_mstate_global->__pyx_n_s_encoded
#define __pyx_n_s_encrypt_blueprint __pyx_mstate_global->__pyx_n_s_encrypt_blueprint
#define __pyx_n_s_encrypted_blueprint __pyx_mstate_global->__pyx_n_s_encrypted_blueprint
#define __pyx_n_s_enumerate __pyx_mstate_global->__pyx_n_s_enumerate
#define __pyx_n_s_factory __pyx_mstate_global->__pyx_n_s_factory
#define __pyx_n_s_factory_id __pyx_mstate_global->__pyx_n_s_factory_id
#define __pyx_n_s_final_result __pyx_mstate_global->__pyx_n_s_final_result
#define __pyx_n_s_hashlib __pyx_mstate_global->__pyx_n_s_hashlib
#define __pyx_n_s_i __pyx_mstate_global->__pyx_n_s_i
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_index __pyx_mstate_global->__pyx_n_s_index
#define __pyx_n_s_init __pyx_mstate_global->__pyx_n_s_init
#define __pyx_n_s_init_subclass __pyx_mstate_global->__pyx_n_s_init_subclass
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_n_s_join __pyx_mstate_global->__pyx_n_s_join
#define __pyx_kp_s_latin_1 __pyx_mstate_global->__pyx_kp_s_latin_1
#define __pyx_n_s_magic_offset __pyx_mstate_global->__pyx_n_s_magic_offset
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_main_2 __pyx_mstate_global->__pyx_n_s_main_2
#define __pyx_n_s_metaclass __pyx_mstate_global->__pyx_n_s_metaclass
#define __pyx_n_s_module __pyx_mstate_global->__pyx_n_s_module
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_new_pos __pyx_mstate_global->__pyx_n_s_new_pos
#define __pyx_n_s_old_index __pyx_mstate_global->__pyx_n_s_old_index
#define __pyx_n_s_old_pos __pyx_mstate_global->__pyx_n_s_old_pos
#define __pyx_n_s_prepare __pyx_mstate_global->__pyx_n_s_prepare
#define __pyx_n_s_print __pyx_mstate_global->__pyx_n_s_print
#define __pyx_n_s_qualname __pyx_mstate_global->__pyx_n_s_qualname
#define __pyx_n_s_result __pyx_mstate_global->__pyx_n_s_result
#define __pyx_n_s_secret_blueprint __pyx_mstate_global->__pyx_n_s_secret_blueprint
#define __pyx_n_s_secret_multiplier __pyx_mstate_global->__pyx_n_s_secret_multiplier
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_n_s_set_name __pyx_mstate_global->__pyx_n_s_set_name
#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
#define __pyx_n_s_stage1 __pyx_mstate_global->__pyx_n_s_stage1
#define __pyx_n_s_stage1_transform __pyx_mstate_global->__pyx_n_s_stage1_transform
#define __pyx_n_s_stage2 __pyx_mstate_global->__pyx_n_s_stage2
#define __pyx_n_s_stage2_scramble __pyx_mstate_global->__pyx_n_s_stage2_scramble
#define __pyx_n_s_stage3_encode __pyx_mstate_global->__pyx_n_s_stage3_encode
#define __pyx_n_s_standard_alphabet __pyx_mstate_global->__pyx_n_s_standard_alphabet
#define __pyx_n_s_super __pyx_mstate_global->__pyx_n_s_super
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_kp_s_tracing_back_through_their_secu __pyx_mstate_global->__pyx_kp_s_tracing_back_through_their_secu
#define __pyx_n_s_val __pyx_mstate_global->__pyx_n_s_val
#define __pyx_int_0 __pyx_mstate_global->__pyx_int_0
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_7 __pyx_mstate_global->__pyx_int_7
#define __pyx_int_23 __pyx_mstate_global->__pyx_int_23
#define __pyx_int_67 __pyx_mstate_global->__pyx_int_67
#define __pyx_int_70 __pyx_mstate_global->__pyx_int_70
#define __pyx_int_84 __pyx_mstate_global->__pyx_int_84
#define __pyx_int_256 __pyx_mstate_global->__pyx_int_256
#define __pyx_tuple__4 __pyx_mstate_global->__pyx_tuple__4
#define __pyx_tuple__5 __pyx_mstate_global->__pyx_tuple__5
#define __pyx_tuple__6 __pyx_mstate_global->__pyx_tuple__6
#define __pyx_tuple__7 __pyx_mstate_global->__pyx_tuple__7
#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
#define __pyx_tuple__9 __pyx_mstate_global->__pyx_tuple__9
#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
#define __pyx_tuple__11 __pyx_mstate_global->__pyx_tuple__11
#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
#define __pyx_tuple__13 __pyx_mstate_global->__pyx_tuple__13
#define __pyx_tuple__16 __pyx_mstate_global->__pyx_tuple__16
#define __pyx_tuple__18 __pyx_mstate_global->__pyx_tuple__18
#define __pyx_tuple__20 __pyx_mstate_global->__pyx_tuple__20
#define __pyx_tuple__22 __pyx_mstate_global->__pyx_tuple__22
#define __pyx_tuple__24 __pyx_mstate_global->__pyx_tuple__24
#define __pyx_tuple__26 __pyx_mstate_global->__pyx_tuple__26
#define __pyx_codeobj__17 __pyx_mstate_global->__pyx_codeobj__17
#define __pyx_codeobj__19 __pyx_mstate_global->__pyx_codeobj__19
#define __pyx_codeobj__21 __pyx_mstate_global->__pyx_codeobj__21
#define __pyx_codeobj__23 __pyx_mstate_global->__pyx_codeobj__23
#define __pyx_codeobj__25 __pyx_mstate_global->__pyx_codeobj__25
#define __pyx_codeobj__27 __pyx_mstate_global->__pyx_codeobj__27
/* #### Code section: module_code ### */

/* "chall.pyx":6
 * 
 * class HiddenFactory:
 *     def __init__(self):             # <<<<<<<<<<<<<<
 *         self.factory_id = [67, 84, 70]
 *         self.secret_multiplier = 7
 */

/* Python wrapper */
static PyObject *__pyx_pw_5chall_13HiddenFactory_1__init__(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_5chall_13HiddenFactory_1__init__ = {"__init__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_5chall_13HiddenFactory_1__init__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_5chall_13HiddenFactory_1__init__(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_self = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__init__ (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_self,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_self)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 6, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "__init__") < 0)) __PYX_ERR(0, 6, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_self = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("__init__", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 6, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("chall.HiddenFactory.__init__", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_5chall_13HiddenFactory___init__(__pyx_self, __pyx_v_self);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_5chall_13HiddenFactory___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__init__", 1);

  /* "chall.pyx":7
 * class HiddenFactory:
 *     def __init__(self):
 *         self.factory_id = [67, 84, 70]             # <<<<<<<<<<<<<<
 *         self.secret_multiplier = 7
 *         self.magic_offset = 23
 */
  __pyx_t_1 = PyList_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_int_67);
  __Pyx_GIVEREF(__pyx_int_67);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_int_67)) __PYX_ERR(0, 7, __pyx_L1_error);
  __Pyx_INCREF(__pyx_int_84);
  __Pyx_GIVEREF(__pyx_int_84);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 1, __pyx_int_84)) __PYX_ERR(0, 7, __pyx_L1_error);
  __Pyx_INCREF(__pyx_int_70);
  __Pyx_GIVEREF(__pyx_int_70);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 2, __pyx_int_70)) __PYX_ERR(0, 7, __pyx_L1_error);
  if (__Pyx_PyObject_SetAttrStr(__pyx_v_self, __pyx_n_s_factory_id, __pyx_t_1) < 0) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "chall.pyx":8
 *     def __init__(self):
 *         self.factory_id = [67, 84, 70]
 *         self.secret_multiplier = 7             # <<<<<<<<<<<<<<
 *         self.magic_offset = 23
 * 
 */
  if (__Pyx_PyObject_SetAttrStr(__pyx_v_self, __pyx_n_s_secret_multiplier, __pyx_int_7) < 0) __PYX_ERR(0, 8, __pyx_L1_error)

  /* "chall.pyx":9
 *         self.factory_id = [67, 84, 70]
 *         self.secret_multiplier = 7
 *         self.magic_offset = 23             # <<<<<<<<<<<<<<
 * 
 *     def _stage1_transform(self, data):
 */
  if (__Pyx_PyObject_SetAttrStr(__pyx_v_self, __pyx_n_s_magic_offset, __pyx_int_23) < 0) __PYX_ERR(0, 9, __pyx_L1_error)

  /* "chall.pyx":6
 * 
 * class HiddenFactory:
 *     def __init__(self):             # <<<<<<<<<<<<<<
 *         self.factory_id = [67, 84, 70]
 *         self.secret_multiplier = 7
 */

  /* function exit code */
  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("chall.HiddenFactory.__init__", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "chall.pyx":11
 *         self.magic_offset = 23
 * 
 *     def _stage1_transform(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 */

/* Python wrapper */
static PyObject *__pyx_pw_5chall_13HiddenFactory_3_stage1_transform(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_5chall_13HiddenFactory_3_stage1_transform = {"_stage1_transform", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_5chall_13HiddenFactory_3_stage1_transform, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_5chall_13HiddenFactory_3_stage1_transform(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_self = 0;
  PyObject *__pyx_v_data = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_stage1_transform (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_self,&__pyx_n_s_data,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_self)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 11, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_data)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 11, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_stage1_transform", 1, 2, 2, 1); __PYX_ERR(0, 11, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_stage1_transform") < 0)) __PYX_ERR(0, 11, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_self = values[0];
    __pyx_v_data = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_stage1_transform", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 11, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("chall.HiddenFactory._stage1_transform", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_5chall_13HiddenFactory_2_stage1_transform(__pyx_self, __pyx_v_self, __pyx_v_data);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_5chall_13HiddenFactory_2_stage1_transform(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_data) {
  PyObject *__pyx_v_result = NULL;
  PyObject *__pyx_v_alphabet = NULL;
  PyObject *__pyx_v_char = NULL;
  PyObject *__pyx_v_old_pos = NULL;
  PyObject *__pyx_v_new_pos = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  unsigned int __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_stage1_transform", 1);

  /* "chall.pyx":12
 * 
 *     def _stage1_transform(self, data):
 *         result = []             # <<<<<<<<<<<<<<
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 * 
 */
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 12, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_result = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "chall.pyx":13
 *     def _stage1_transform(self, data):
 *         result = []
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"             # <<<<<<<<<<<<<<
 * 
 *         for char in data:
 */
  __Pyx_INCREF(__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef);
  __pyx_v_alphabet = __pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef;

  /* "chall.pyx":15
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 * 
 *         for char in data:             # <<<<<<<<<<<<<<
 *             if char in alphabet:
 *                 old_pos = alphabet.index(char)
 */
  if (likely(PyList_CheckExact(__pyx_v_data)) || PyTuple_CheckExact(__pyx_v_data)) {
    __pyx_t_1 = __pyx_v_data; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_v_data); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 15, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 15, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 15, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 15, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 15, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 15, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 15, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 15, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 15, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XDECREF_SET(__pyx_v_char, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "chall.pyx":16
 * 
 *         for char in data:
 *             if char in alphabet:             # <<<<<<<<<<<<<<
 *                 old_pos = alphabet.index(char)
 *                 new_pos = (old_pos + self.magic_offset) % len(alphabet)
 */
    __pyx_t_5 = (__Pyx_PySequence_ContainsTF(__pyx_v_char, __pyx_v_alphabet, Py_EQ)); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 16, __pyx_L1_error)
    if (__pyx_t_5) {

      /* "chall.pyx":17
 *         for char in data:
 *             if char in alphabet:
 *                 old_pos = alphabet.index(char)             # <<<<<<<<<<<<<<
 *                 new_pos = (old_pos + self.magic_offset) % len(alphabet)
 *                 result.append(alphabet[new_pos])
 */
      __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_v_alphabet, __pyx_n_s_index); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 17, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_7 = NULL;
      __pyx_t_8 = 0;
      #if CYTHON_UNPACK_METHODS
      if (likely(PyMethod_Check(__pyx_t_6))) {
        __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_6);
        if (likely(__pyx_t_7)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
          __Pyx_INCREF(__pyx_t_7);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_6, function);
          __pyx_t_8 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[2] = {__pyx_t_7, __pyx_v_char};
        __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_6, __pyx_callargs+1-__pyx_t_8, 1+__pyx_t_8);
        __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
        if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 17, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      }
      __Pyx_XDECREF_SET(__pyx_v_old_pos, __pyx_t_4);
      __pyx_t_4 = 0;

      /* "chall.pyx":18
 *             if char in alphabet:
 *                 old_pos = alphabet.index(char)
 *                 new_pos = (old_pos + self.magic_offset) % len(alphabet)             # <<<<<<<<<<<<<<
 *                 result.append(alphabet[new_pos])
 *             else:
 */
      __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_magic_offset); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 18, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_6 = PyNumber_Add(__pyx_v_old_pos, __pyx_t_4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 18, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_9 = PyObject_Length(__pyx_v_alphabet); if (unlikely(__pyx_t_9 == ((Py_ssize_t)-1))) __PYX_ERR(0, 18, __pyx_L1_error)
      __pyx_t_4 = PyInt_FromSsize_t(__pyx_t_9); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 18, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_7 = PyNumber_Remainder(__pyx_t_6, __pyx_t_4); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 18, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_XDECREF_SET(__pyx_v_new_pos, __pyx_t_7);
      __pyx_t_7 = 0;

      /* "chall.pyx":19
 *                 old_pos = alphabet.index(char)
 *                 new_pos = (old_pos + self.magic_offset) % len(alphabet)
 *                 result.append(alphabet[new_pos])             # <<<<<<<<<<<<<<
 *             else:
 *                 result.append(char)
 */
      __pyx_t_7 = __Pyx_PyObject_GetItem(__pyx_v_alphabet, __pyx_v_new_pos); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 19, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_10 = __Pyx_PyList_Append(__pyx_v_result, __pyx_t_7); if (unlikely(__pyx_t_10 == ((int)-1))) __PYX_ERR(0, 19, __pyx_L1_error)
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;

      /* "chall.pyx":16
 * 
 *         for char in data:
 *             if char in alphabet:             # <<<<<<<<<<<<<<
 *                 old_pos = alphabet.index(char)
 *                 new_pos = (old_pos + self.magic_offset) % len(alphabet)
 */
      goto __pyx_L5;
    }

    /* "chall.pyx":21
 *                 result.append(alphabet[new_pos])
 *             else:
 *                 result.append(char)             # <<<<<<<<<<<<<<
 * 
 *         return ''.join(result)
 */
    /*else*/ {
      __pyx_t_10 = __Pyx_PyList_Append(__pyx_v_result, __pyx_v_char); if (unlikely(__pyx_t_10 == ((int)-1))) __PYX_ERR(0, 21, __pyx_L1_error)
    }
    __pyx_L5:;

    /* "chall.pyx":15
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 * 
 *         for char in data:             # <<<<<<<<<<<<<<
 *             if char in alphabet:
 *                 old_pos = alphabet.index(char)
 */
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "chall.pyx":23
 *                 result.append(char)
 * 
 *         return ''.join(result)             # <<<<<<<<<<<<<<
 * 
 *     def _stage2_scramble(self, data):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_PyString_Join(__pyx_kp_s_, __pyx_v_result); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 23, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "chall.pyx":11
 *         self.magic_offset = 23
 * 
 *     def _stage1_transform(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("chall.HiddenFactory._stage1_transform", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_result);
  __Pyx_XDECREF(__pyx_v_alphabet);
  __Pyx_XDECREF(__pyx_v_char);
  __Pyx_XDECREF(__pyx_v_old_pos);
  __Pyx_XDECREF(__pyx_v_new_pos);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "chall.pyx":25
 *         return ''.join(result)
 * 
 *     def _stage2_scramble(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         for i, char in enumerate(data):
 */

/* Python wrapper */
static PyObject *__pyx_pw_5chall_13HiddenFactory_5_stage2_scramble(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_5chall_13HiddenFactory_5_stage2_scramble = {"_stage2_scramble", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_5chall_13HiddenFactory_5_stage2_scramble, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_5chall_13HiddenFactory_5_stage2_scramble(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_self = 0;
  PyObject *__pyx_v_data = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_stage2_scramble (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_self,&__pyx_n_s_data,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_self)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 25, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_data)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 25, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_stage2_scramble", 1, 2, 2, 1); __PYX_ERR(0, 25, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_stage2_scramble") < 0)) __PYX_ERR(0, 25, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_self = values[0];
    __pyx_v_data = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_stage2_scramble", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 25, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("chall.HiddenFactory._stage2_scramble", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_5chall_13HiddenFactory_4_stage2_scramble(__pyx_self, __pyx_v_self, __pyx_v_data);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_5chall_13HiddenFactory_4_stage2_scramble(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_data) {
  PyObject *__pyx_v_result = NULL;
  PyObject *__pyx_v_i = NULL;
  PyObject *__pyx_v_char = NULL;
  PyObject *__pyx_v_val = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  Py_ssize_t __pyx_t_3;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  long __pyx_t_8;
  int __pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_stage2_scramble", 1);

  /* "chall.pyx":26
 * 
 *     def _stage2_scramble(self, data):
 *         result = []             # <<<<<<<<<<<<<<
 *         for i, char in enumerate(data):
 *             val = (i * self.secret_multiplier + self.magic_offset) % 256
 */
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 26, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_result = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "chall.pyx":27
 *     def _stage2_scramble(self, data):
 *         result = []
 *         for i, char in enumerate(data):             # <<<<<<<<<<<<<<
 *             val = (i * self.secret_multiplier + self.magic_offset) % 256
 *             result.append(chr(ord(char) ^ val))
 */
  __Pyx_INCREF(__pyx_int_0);
  __pyx_t_1 = __pyx_int_0;
  if (likely(PyList_CheckExact(__pyx_v_data)) || PyTuple_CheckExact(__pyx_v_data)) {
    __pyx_t_2 = __pyx_v_data; __Pyx_INCREF(__pyx_t_2);
    __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
  } else {
    __pyx_t_3 = -1; __pyx_t_2 = PyObject_GetIter(__pyx_v_data); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 27, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 27, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_4)) {
      if (likely(PyList_CheckExact(__pyx_t_2))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_2);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 27, __pyx_L1_error)
          #endif
          if (__pyx_t_3 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_5 = PyList_GET_ITEM(__pyx_t_2, __pyx_t_3); __Pyx_INCREF(__pyx_t_5); __pyx_t_3++; if (unlikely((0 < 0))) __PYX_ERR(0, 27, __pyx_L1_error)
        #else
        __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_3); __pyx_t_3++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 27, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_5);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_2);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 27, __pyx_L1_error)
          #endif
          if (__pyx_t_3 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_5 = PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_3); __Pyx_INCREF(__pyx_t_5); __pyx_t_3++; if (unlikely((0 < 0))) __PYX_ERR(0, 27, __pyx_L1_error)
        #else
        __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_3); __pyx_t_3++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 27, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_5);
        #endif
      }
    } else {
      __pyx_t_5 = __pyx_t_4(__pyx_t_2);
      if (unlikely(!__pyx_t_5)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 27, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_5);
    }
    __Pyx_XDECREF_SET(__pyx_v_char, __pyx_t_5);
    __pyx_t_5 = 0;
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_i, __pyx_t_1);
    __pyx_t_5 = __Pyx_PyInt_AddObjC(__pyx_t_1, __pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 27, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_1);
    __pyx_t_1 = __pyx_t_5;
    __pyx_t_5 = 0;

    /* "chall.pyx":28
 *         result = []
 *         for i, char in enumerate(data):
 *             val = (i * self.secret_multiplier + self.magic_offset) % 256             # <<<<<<<<<<<<<<
 *             result.append(chr(ord(char) ^ val))
 * 
 */
    __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_secret_multiplier); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 28, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = PyNumber_Multiply(__pyx_v_i, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 28, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_magic_offset); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 28, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_7 = PyNumber_Add(__pyx_t_6, __pyx_t_5); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 28, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyInt_RemainderObjC(__pyx_t_7, __pyx_int_256, 0x100, 0, 0); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 28, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_XDECREF_SET(__pyx_v_val, __pyx_t_5);
    __pyx_t_5 = 0;

    /* "chall.pyx":29
 *         for i, char in enumerate(data):
 *             val = (i * self.secret_multiplier + self.magic_offset) % 256
 *             result.append(chr(ord(char) ^ val))             # <<<<<<<<<<<<<<
 * 
 *         return ''.join(result)
 */
    __pyx_t_8 = __Pyx_PyObject_Ord(__pyx_v_char); if (unlikely(__pyx_t_8 == ((long)(long)(Py_UCS4)-1))) __PYX_ERR(0, 29, __pyx_L1_error)
    __pyx_t_5 = __Pyx_PyInt_From_long(__pyx_t_8); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 29, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_7 = PyNumber_Xor(__pyx_t_5, __pyx_v_val); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 29, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_CallOneArg(__pyx_builtin_chr, __pyx_t_7); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 29, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_9 = __Pyx_PyList_Append(__pyx_v_result, __pyx_t_5); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 29, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

    /* "chall.pyx":27
 *     def _stage2_scramble(self, data):
 *         result = []
 *         for i, char in enumerate(data):             # <<<<<<<<<<<<<<
 *             val = (i * self.secret_multiplier + self.magic_offset) % 256
 *             result.append(chr(ord(char) ^ val))
 */
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "chall.pyx":31
 *             result.append(chr(ord(char) ^ val))
 * 
 *         return ''.join(result)             # <<<<<<<<<<<<<<
 * 
 *     def _stage3_encode(self, data):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_PyString_Join(__pyx_kp_s_, __pyx_v_result); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 31, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "chall.pyx":25
 *         return ''.join(result)
 * 
 *     def _stage2_scramble(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         for i, char in enumerate(data):
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("chall.HiddenFactory._stage2_scramble", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_result);
  __Pyx_XDECREF(__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_char);
  __Pyx_XDECREF(__pyx_v_val);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "chall.pyx":33
 *         return ''.join(result)
 * 
 *     def _stage3_encode(self, data):             # <<<<<<<<<<<<<<
 *         data_bytes = data.encode('latin-1')
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_5chall_13HiddenFactory_7_stage3_encode(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_5chall_13HiddenFactory_7_stage3_encode = {"_stage3_encode", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_5chall_13HiddenFactory_7_stage3_encode, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_5chall_13HiddenFactory_7_stage3_encode(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  CYTHON_UNUSED PyObject *__pyx_v_self = 0;
  PyObject *__pyx_v_data = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_stage3_encode (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_self,&__pyx_n_s_data,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_self)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 33, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_data)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 33, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_stage3_encode", 1, 2, 2, 1); __PYX_ERR(0, 33, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_stage3_encode") < 0)) __PYX_ERR(0, 33, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_self = values[0];
    __pyx_v_data = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_stage3_encode", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 33, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("chall.HiddenFactory._stage3_encode", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_5chall_13HiddenFactory_6_stage3_encode(__pyx_self, __pyx_v_self, __pyx_v_data);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_5chall_13HiddenFactory_6_stage3_encode(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, PyObject *__pyx_v_data) {
  PyObject *__pyx_v_data_bytes = NULL;
  PyObject *__pyx_v_custom_alphabet = NULL;
  PyObject *__pyx_v_encoded = NULL;
  PyObject *__pyx_v_standard_alphabet = NULL;
  PyObject *__pyx_v_result = NULL;
  PyObject *__pyx_v_char = NULL;
  PyObject *__pyx_v_old_index = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  unsigned int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  Py_ssize_t __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  int __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_stage3_encode", 1);

  /* "chall.pyx":34
 * 
 *     def _stage3_encode(self, data):
 *         data_bytes = data.encode('latin-1')             # <<<<<<<<<<<<<<
 * 
 *         custom_alphabet = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_data, __pyx_n_s_encode); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 34, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_kp_s_latin_1};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 34, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_data_bytes = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":36
 *         data_bytes = data.encode('latin-1')
 * 
 *         custom_alphabet = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"             # <<<<<<<<<<<<<<
 *         encoded = base64.b64encode(data_bytes).decode()
 * 
 */
  __Pyx_INCREF(__pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV);
  __pyx_v_custom_alphabet = __pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV;

  /* "chall.pyx":37
 * 
 *         custom_alphabet = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"
 *         encoded = base64.b64encode(data_bytes).decode()             # <<<<<<<<<<<<<<
 * 
 *         standard_alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_base64); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 37, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_b64encode); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 37, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_data_bytes};
    __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 37, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_decode); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 37, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, NULL};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_4, 0+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 37, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __pyx_v_encoded = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":39
 *         encoded = base64.b64encode(data_bytes).decode()
 * 
 *         standard_alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"             # <<<<<<<<<<<<<<
 * 
 *         result = ""
 */
  __Pyx_INCREF(__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2);
  __pyx_v_standard_alphabet = __pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2;

  /* "chall.pyx":41
 *         standard_alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"
 * 
 *         result = ""             # <<<<<<<<<<<<<<
 *         for char in encoded:
 *             if char in standard_alphabet:
 */
  __Pyx_INCREF(__pyx_kp_s_);
  __pyx_v_result = __pyx_kp_s_;

  /* "chall.pyx":42
 * 
 *         result = ""
 *         for char in encoded:             # <<<<<<<<<<<<<<
 *             if char in standard_alphabet:
 *                 old_index = standard_alphabet.index(char)
 */
  if (likely(PyList_CheckExact(__pyx_v_encoded)) || PyTuple_CheckExact(__pyx_v_encoded)) {
    __pyx_t_1 = __pyx_v_encoded; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
  } else {
    __pyx_t_6 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_v_encoded); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 42, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 42, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_7)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 42, __pyx_L1_error)
          #endif
          if (__pyx_t_6 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_5 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_6); __Pyx_INCREF(__pyx_t_5); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 42, __pyx_L1_error)
        #else
        __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 42, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_5);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 42, __pyx_L1_error)
          #endif
          if (__pyx_t_6 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_5 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_6); __Pyx_INCREF(__pyx_t_5); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 42, __pyx_L1_error)
        #else
        __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 42, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_5);
        #endif
      }
    } else {
      __pyx_t_5 = __pyx_t_7(__pyx_t_1);
      if (unlikely(!__pyx_t_5)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 42, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_5);
    }
    __Pyx_XDECREF_SET(__pyx_v_char, __pyx_t_5);
    __pyx_t_5 = 0;

    /* "chall.pyx":43
 *         result = ""
 *         for char in encoded:
 *             if char in standard_alphabet:             # <<<<<<<<<<<<<<
 *                 old_index = standard_alphabet.index(char)
 *                 result += custom_alphabet[old_index]
 */
    __pyx_t_8 = (__Pyx_PySequence_ContainsTF(__pyx_v_char, __pyx_v_standard_alphabet, Py_EQ)); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 43, __pyx_L1_error)
    if (__pyx_t_8) {

      /* "chall.pyx":44
 *         for char in encoded:
 *             if char in standard_alphabet:
 *                 old_index = standard_alphabet.index(char)             # <<<<<<<<<<<<<<
 *                 result += custom_alphabet[old_index]
 *             else:
 */
      __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_standard_alphabet, __pyx_n_s_index); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 44, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_3 = NULL;
      __pyx_t_4 = 0;
      #if CYTHON_UNPACK_METHODS
      if (likely(PyMethod_Check(__pyx_t_2))) {
        __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
        if (likely(__pyx_t_3)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
          __Pyx_INCREF(__pyx_t_3);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_2, function);
          __pyx_t_4 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_char};
        __pyx_t_5 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
        __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
        if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 44, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_5);
        __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      }
      __Pyx_XDECREF_SET(__pyx_v_old_index, __pyx_t_5);
      __pyx_t_5 = 0;

      /* "chall.pyx":45
 *             if char in standard_alphabet:
 *                 old_index = standard_alphabet.index(char)
 *                 result += custom_alphabet[old_index]             # <<<<<<<<<<<<<<
 *             else:
 *                 result += char
 */
      __pyx_t_5 = __Pyx_PyObject_GetItem(__pyx_v_custom_alphabet, __pyx_v_old_index); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 45, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_2 = PyNumber_InPlaceAdd(__pyx_v_result, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 45, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF_SET(__pyx_v_result, __pyx_t_2);
      __pyx_t_2 = 0;

      /* "chall.pyx":43
 *         result = ""
 *         for char in encoded:
 *             if char in standard_alphabet:             # <<<<<<<<<<<<<<
 *                 old_index = standard_alphabet.index(char)
 *                 result += custom_alphabet[old_index]
 */
      goto __pyx_L5;
    }

    /* "chall.pyx":47
 *                 result += custom_alphabet[old_index]
 *             else:
 *                 result += char             # <<<<<<<<<<<<<<
 * 
 *         return result
 */
    /*else*/ {
      __pyx_t_2 = PyNumber_InPlaceAdd(__pyx_v_result, __pyx_v_char); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 47, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF_SET(__pyx_v_result, __pyx_t_2);
      __pyx_t_2 = 0;
    }
    __pyx_L5:;

    /* "chall.pyx":42
 * 
 *         result = ""
 *         for char in encoded:             # <<<<<<<<<<<<<<
 *             if char in standard_alphabet:
 *                 old_index = standard_alphabet.index(char)
 */
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "chall.pyx":49
 *                 result += char
 * 
 *         return result             # <<<<<<<<<<<<<<
 * 
 *     def encrypt_blueprint(self, blueprint):
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_result);
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "chall.pyx":33
 *         return ''.join(result)
 * 
 *     def _stage3_encode(self, data):             # <<<<<<<<<<<<<<
 *         data_bytes = data.encode('latin-1')
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("chall.HiddenFactory._stage3_encode", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_data_bytes);
  __Pyx_XDECREF(__pyx_v_custom_alphabet);
  __Pyx_XDECREF(__pyx_v_encoded);
  __Pyx_XDECREF(__pyx_v_standard_alphabet);
  __Pyx_XDECREF(__pyx_v_result);
  __Pyx_XDECREF(__pyx_v_char);
  __Pyx_XDECREF(__pyx_v_old_index);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "chall.pyx":51
 *         return result
 * 
 *     def encrypt_blueprint(self, blueprint):             # <<<<<<<<<<<<<<
 *         stage1 = self._stage1_transform(blueprint)
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_5chall_13HiddenFactory_9encrypt_blueprint(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_5chall_13HiddenFactory_9encrypt_blueprint = {"encrypt_blueprint", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_5chall_13HiddenFactory_9encrypt_blueprint, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_5chall_13HiddenFactory_9encrypt_blueprint(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_self = 0;
  PyObject *__pyx_v_blueprint = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("encrypt_blueprint (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_self,&__pyx_n_s_blueprint,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_self)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 51, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_blueprint)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 51, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("encrypt_blueprint", 1, 2, 2, 1); __PYX_ERR(0, 51, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "encrypt_blueprint") < 0)) __PYX_ERR(0, 51, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_self = values[0];
    __pyx_v_blueprint = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("encrypt_blueprint", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 51, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("chall.HiddenFactory.encrypt_blueprint", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_5chall_13HiddenFactory_8encrypt_blueprint(__pyx_self, __pyx_v_self, __pyx_v_blueprint);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_5chall_13HiddenFactory_8encrypt_blueprint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_blueprint) {
  PyObject *__pyx_v_stage1 = NULL;
  PyObject *__pyx_v_stage2 = NULL;
  PyObject *__pyx_v_final_result = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  unsigned int __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("encrypt_blueprint", 1);

  /* "chall.pyx":52
 * 
 *     def encrypt_blueprint(self, blueprint):
 *         stage1 = self._stage1_transform(blueprint)             # <<<<<<<<<<<<<<
 * 
 *         stage2 = self._stage2_scramble(stage1)
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_stage1_transform); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 52, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_blueprint};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 52, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_stage1 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":54
 *         stage1 = self._stage1_transform(blueprint)
 * 
 *         stage2 = self._stage2_scramble(stage1)             # <<<<<<<<<<<<<<
 * 
 *         final_result = self._stage3_encode(stage2)
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_stage2_scramble); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 54, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_stage1};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 54, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_stage2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":56
 *         stage2 = self._stage2_scramble(stage1)
 * 
 *         final_result = self._stage3_encode(stage2)             # <<<<<<<<<<<<<<
 * 
 *         return final_result
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_stage3_encode); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_stage2};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 56, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_final_result = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":58
 *         final_result = self._stage3_encode(stage2)
 * 
 *         return final_result             # <<<<<<<<<<<<<<
 * 
 * def main():
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_final_result);
  __pyx_r = __pyx_v_final_result;
  goto __pyx_L0;

  /* "chall.pyx":51
 *         return result
 * 
 *     def encrypt_blueprint(self, blueprint):             # <<<<<<<<<<<<<<
 *         stage1 = self._stage1_transform(blueprint)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("chall.HiddenFactory.encrypt_blueprint", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_stage1);
  __Pyx_XDECREF(__pyx_v_stage2);
  __Pyx_XDECREF(__pyx_v_final_result);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "chall.pyx":60
 *         return final_result
 * 
 * def main():             # <<<<<<<<<<<<<<
 *     factory = HiddenFactory()
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_5chall_1main(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused); /*proto*/
static PyMethodDef __pyx_mdef_5chall_1main = {"main", (PyCFunction)__pyx_pw_5chall_1main, METH_NOARGS, 0};
static PyObject *__pyx_pw_5chall_1main(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused) {
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("main (wrapper)", 0);
  __pyx_kwvalues = __Pyx_KwValues_VARARGS(__pyx_args, __pyx_nargs);
  __pyx_r = __pyx_pf_5chall_main(__pyx_self);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_5chall_main(CYTHON_UNUSED PyObject *__pyx_self) {
  PyObject *__pyx_v_factory = NULL;
  PyObject *__pyx_v_secret_blueprint = NULL;
  PyObject *__pyx_v_encrypted_blueprint = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  unsigned int __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("main", 1);

  /* "chall.pyx":61
 * 
 * def main():
 *     factory = HiddenFactory()             # <<<<<<<<<<<<<<
 * 
 *     secret_blueprint = "HOLOGY8{REDACTED}"
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_HiddenFactory); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 61, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, NULL};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 0+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 61, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_factory = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":63
 *     factory = HiddenFactory()
 * 
 *     secret_blueprint = "HOLOGY8{REDACTED}"             # <<<<<<<<<<<<<<
 * 
 *     encrypted_blueprint = factory.encrypt_blueprint(secret_blueprint)
 */
  __Pyx_INCREF(__pyx_kp_s_HOLOGY8_REDACTED);
  __pyx_v_secret_blueprint = __pyx_kp_s_HOLOGY8_REDACTED;

  /* "chall.pyx":65
 *     secret_blueprint = "HOLOGY8{REDACTED}"
 * 
 *     encrypted_blueprint = factory.encrypt_blueprint(secret_blueprint)             # <<<<<<<<<<<<<<
 * 
 *     print("\n" + "="*60)
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_factory, __pyx_n_s_encrypt_blueprint); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 65, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_secret_blueprint};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 65, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_encrypted_blueprint = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "chall.pyx":67
 *     encrypted_blueprint = factory.encrypt_blueprint(secret_blueprint)
 * 
 *     print("\n" + "="*60)             # <<<<<<<<<<<<<<
 *     print("HIDDEN FACTORY")
 *     print("="*60)
 */
  __pyx_t_1 = __Pyx_PyStr_Concat(__pyx_kp_s__2, __pyx_kp_s__3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 67, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_builtin_print, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 67, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":68
 * 
 *     print("\n" + "="*60)
 *     print("HIDDEN FACTORY")             # <<<<<<<<<<<<<<
 *     print("="*60)
 *     print("CHALLENGE DESCRIPTION:")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 68, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":69
 *     print("\n" + "="*60)
 *     print("HIDDEN FACTORY")
 *     print("="*60)             # <<<<<<<<<<<<<<
 *     print("CHALLENGE DESCRIPTION:")
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 69, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":70
 *     print("HIDDEN FACTORY")
 *     print("="*60)
 *     print("CHALLENGE DESCRIPTION:")             # <<<<<<<<<<<<<<
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__6, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 70, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":71
 *     print("="*60)
 *     print("CHALLENGE DESCRIPTION:")
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")             # <<<<<<<<<<<<<<
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__7, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":72
 *     print("CHALLENGE DESCRIPTION:")
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")             # <<<<<<<<<<<<<<
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__8, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 72, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":73
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")             # <<<<<<<<<<<<<<
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 *     print("="*60)
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__9, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 73, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":74
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")             # <<<<<<<<<<<<<<
 *     print("="*60)
 *     print("YOUR TASK:")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__10, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 74, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":75
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 *     print("="*60)             # <<<<<<<<<<<<<<
 *     print("YOUR TASK:")
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":76
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 *     print("="*60)
 *     print("YOUR TASK:")             # <<<<<<<<<<<<<<
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")
 *     print("="*60)
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__11, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":77
 *     print("="*60)
 *     print("YOUR TASK:")
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")             # <<<<<<<<<<<<<<
 *     print("="*60)
 *     print(f" ENCRYPTED BLUEPRINT:")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__12, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":78
 *     print("YOUR TASK:")
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")
 *     print("="*60)             # <<<<<<<<<<<<<<
 *     print(f" ENCRYPTED BLUEPRINT:")
 *     print(f"   {encrypted_blueprint}")
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 78, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":79
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")
 *     print("="*60)
 *     print(f" ENCRYPTED BLUEPRINT:")             # <<<<<<<<<<<<<<
 *     print(f"   {encrypted_blueprint}")
 *     print("="*60)
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__13, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":80
 *     print("="*60)
 *     print(f" ENCRYPTED BLUEPRINT:")
 *     print(f"   {encrypted_blueprint}")             # <<<<<<<<<<<<<<
 *     print("="*60)
 * 
 */
  __pyx_t_2 = __Pyx_PyObject_FormatSimple(__pyx_v_encrypted_blueprint, __pyx_empty_unicode); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_PyUnicode_Concat(__pyx_kp_u__14, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_builtin_print, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":81
 *     print(f" ENCRYPTED BLUEPRINT:")
 *     print(f"   {encrypted_blueprint}")
 *     print("="*60)             # <<<<<<<<<<<<<<
 * 
 * if __name__ == "__main__":
 */
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_print, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 81, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":60
 *         return final_result
 * 
 * def main():             # <<<<<<<<<<<<<<
 *     factory = HiddenFactory()
 * 
 */

  /* function exit code */
  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("chall.main", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_factory);
  __Pyx_XDECREF(__pyx_v_secret_blueprint);
  __Pyx_XDECREF(__pyx_v_encrypted_blueprint);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif
/* #### Code section: pystring_table ### */

static int __Pyx_CreateStringTabAndInitStrings(void) {
  __Pyx_StringTabEntry __pyx_string_tab[] = {
    {&__pyx_kp_s_, __pyx_k_, sizeof(__pyx_k_), 0, 0, 1, 0},
    {&__pyx_kp_s_0123456789ABCDEFGHIJKLMNOPQRSTUV, __pyx_k_0123456789ABCDEFGHIJKLMNOPQRSTUV, sizeof(__pyx_k_0123456789ABCDEFGHIJKLMNOPQRSTUV), 0, 0, 1, 0},
    {&__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef, __pyx_k_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef, sizeof(__pyx_k_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef), 0, 0, 1, 0},
    {&__pyx_kp_s_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2, __pyx_k_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2, sizeof(__pyx_k_ABCDEFGHIJKLMNOPQRSTUVWXYZabcdef_2), 0, 0, 1, 0},
    {&__pyx_kp_s_Analyze_this_source_code_and_de, __pyx_k_Analyze_this_source_code_and_de, sizeof(__pyx_k_Analyze_this_source_code_and_de), 0, 0, 1, 0},
    {&__pyx_kp_s_CHALLENGE_DESCRIPTION, __pyx_k_CHALLENGE_DESCRIPTION, sizeof(__pyx_k_CHALLENGE_DESCRIPTION), 0, 0, 1, 0},
    {&__pyx_kp_s_Can_you_reverse_engineer_their, __pyx_k_Can_you_reverse_engineer_their, sizeof(__pyx_k_Can_you_reverse_engineer_their), 0, 0, 1, 0},
    {&__pyx_kp_u_ENCRYPTED_BLUEPRINT, __pyx_k_ENCRYPTED_BLUEPRINT, sizeof(__pyx_k_ENCRYPTED_BLUEPRINT), 0, 1, 0, 0},
    {&__pyx_kp_s_HIDDEN_FACTORY, __pyx_k_HIDDEN_FACTORY, sizeof(__pyx_k_HIDDEN_FACTORY), 0, 0, 1, 0},
    {&__pyx_kp_s_HOLOGY8_REDACTED, __pyx_k_HOLOGY8_REDACTED, sizeof(__pyx_k_HOLOGY8_REDACTED), 0, 0, 1, 0},
    {&__pyx_n_s_HiddenFactory, __pyx_k_HiddenFactory, sizeof(__pyx_k_HiddenFactory), 0, 0, 1, 1},
    {&__pyx_n_s_HiddenFactory___init, __pyx_k_HiddenFactory___init, sizeof(__pyx_k_HiddenFactory___init), 0, 0, 1, 1},
    {&__pyx_n_s_HiddenFactory__stage1_transform, __pyx_k_HiddenFactory__stage1_transform, sizeof(__pyx_k_HiddenFactory__stage1_transform), 0, 0, 1, 1},
    {&__pyx_n_s_HiddenFactory__stage2_scramble, __pyx_k_HiddenFactory__stage2_scramble, sizeof(__pyx_k_HiddenFactory__stage2_scramble), 0, 0, 1, 1},
    {&__pyx_n_s_HiddenFactory__stage3_encode, __pyx_k_HiddenFactory__stage3_encode, sizeof(__pyx_k_HiddenFactory__stage3_encode), 0, 0, 1, 1},
    {&__pyx_n_s_HiddenFactory_encrypt_blueprint, __pyx_k_HiddenFactory_encrypt_blueprint, sizeof(__pyx_k_HiddenFactory_encrypt_blueprint), 0, 0, 1, 1},
    {&__pyx_kp_s_The_factory_s_engineers_have_de, __pyx_k_The_factory_s_engineers_have_de, sizeof(__pyx_k_The_factory_s_engineers_have_de), 0, 0, 1, 0},
    {&__pyx_kp_s_Welcome_to_the_Hidden_Factory_B, __pyx_k_Welcome_to_the_Hidden_Factory_B, sizeof(__pyx_k_Welcome_to_the_Hidden_Factory_B), 0, 0, 1, 0},
    {&__pyx_kp_s_YOUR_TASK, __pyx_k_YOUR_TASK, sizeof(__pyx_k_YOUR_TASK), 0, 0, 1, 0},
    {&__pyx_kp_u__14, __pyx_k__14, sizeof(__pyx_k__14), 0, 1, 0, 0},
    {&__pyx_n_s__15, __pyx_k__15, sizeof(__pyx_k__15), 0, 0, 1, 1},
    {&__pyx_kp_s__2, __pyx_k__2, sizeof(__pyx_k__2), 0, 0, 1, 0},
    {&__pyx_n_s__28, __pyx_k__28, sizeof(__pyx_k__28), 0, 0, 1, 1},
    {&__pyx_kp_s__3, __pyx_k__3, sizeof(__pyx_k__3), 0, 0, 1, 0},
    {&__pyx_n_s_alphabet, __pyx_k_alphabet, sizeof(__pyx_k_alphabet), 0, 0, 1, 1},
    {&__pyx_n_s_asyncio_coroutines, __pyx_k_asyncio_coroutines, sizeof(__pyx_k_asyncio_coroutines), 0, 0, 1, 1},
    {&__pyx_n_s_b64encode, __pyx_k_b64encode, sizeof(__pyx_k_b64encode), 0, 0, 1, 1},
    {&__pyx_n_s_base64, __pyx_k_base64, sizeof(__pyx_k_base64), 0, 0, 1, 1},
    {&__pyx_n_s_blueprint, __pyx_k_blueprint, sizeof(__pyx_k_blueprint), 0, 0, 1, 1},
    {&__pyx_n_s_chall, __pyx_k_chall, sizeof(__pyx_k_chall), 0, 0, 1, 1},
    {&__pyx_kp_s_chall_pyx, __pyx_k_chall_pyx, sizeof(__pyx_k_chall_pyx), 0, 0, 1, 0},
    {&__pyx_n_s_char, __pyx_k_char, sizeof(__pyx_k_char), 0, 0, 1, 1},
    {&__pyx_n_s_chr, __pyx_k_chr, sizeof(__pyx_k_chr), 0, 0, 1, 1},
    {&__pyx_n_s_class_getitem, __pyx_k_class_getitem, sizeof(__pyx_k_class_getitem), 0, 0, 1, 1},
    {&__pyx_n_s_cline_in_traceback, __pyx_k_cline_in_traceback, sizeof(__pyx_k_cline_in_traceback), 0, 0, 1, 1},
    {&__pyx_n_s_custom_alphabet, __pyx_k_custom_alphabet, sizeof(__pyx_k_custom_alphabet), 0, 0, 1, 1},
    {&__pyx_n_s_data, __pyx_k_data, sizeof(__pyx_k_data), 0, 0, 1, 1},
    {&__pyx_n_s_data_bytes, __pyx_k_data_bytes, sizeof(__pyx_k_data_bytes), 0, 0, 1, 1},
    {&__pyx_n_s_decode, __pyx_k_decode, sizeof(__pyx_k_decode), 0, 0, 1, 1},
    {&__pyx_n_s_dict, __pyx_k_dict, sizeof(__pyx_k_dict), 0, 0, 1, 1},
    {&__pyx_n_s_doc, __pyx_k_doc, sizeof(__pyx_k_doc), 0, 0, 1, 1},
    {&__pyx_n_s_encode, __pyx_k_encode, sizeof(__pyx_k_encode), 0, 0, 1, 1},
    {&__pyx_n_s_encoded, __pyx_k_encoded, sizeof(__pyx_k_encoded), 0, 0, 1, 1},
    {&__pyx_n_s_encrypt_blueprint, __pyx_k_encrypt_blueprint, sizeof(__pyx_k_encrypt_blueprint), 0, 0, 1, 1},
    {&__pyx_n_s_encrypted_blueprint, __pyx_k_encrypted_blueprint, sizeof(__pyx_k_encrypted_blueprint), 0, 0, 1, 1},
    {&__pyx_n_s_enumerate, __pyx_k_enumerate, sizeof(__pyx_k_enumerate), 0, 0, 1, 1},
    {&__pyx_n_s_factory, __pyx_k_factory, sizeof(__pyx_k_factory), 0, 0, 1, 1},
    {&__pyx_n_s_factory_id, __pyx_k_factory_id, sizeof(__pyx_k_factory_id), 0, 0, 1, 1},
    {&__pyx_n_s_final_result, __pyx_k_final_result, sizeof(__pyx_k_final_result), 0, 0, 1, 1},
    {&__pyx_n_s_hashlib, __pyx_k_hashlib, sizeof(__pyx_k_hashlib), 0, 0, 1, 1},
    {&__pyx_n_s_i, __pyx_k_i, sizeof(__pyx_k_i), 0, 0, 1, 1},
    {&__pyx_n_s_import, __pyx_k_import, sizeof(__pyx_k_import), 0, 0, 1, 1},
    {&__pyx_n_s_index, __pyx_k_index, sizeof(__pyx_k_index), 0, 0, 1, 1},
    {&__pyx_n_s_init, __pyx_k_init, sizeof(__pyx_k_init), 0, 0, 1, 1},
    {&__pyx_n_s_init_subclass, __pyx_k_init_subclass, sizeof(__pyx_k_init_subclass), 0, 0, 1, 1},
    {&__pyx_n_s_initializing, __pyx_k_initializing, sizeof(__pyx_k_initializing), 0, 0, 1, 1},
    {&__pyx_n_s_is_coroutine, __pyx_k_is_coroutine, sizeof(__pyx_k_is_coroutine), 0, 0, 1, 1},
    {&__pyx_n_s_join, __pyx_k_join, sizeof(__pyx_k_join), 0, 0, 1, 1},
    {&__pyx_kp_s_latin_1, __pyx_k_latin_1, sizeof(__pyx_k_latin_1), 0, 0, 1, 0},
    {&__pyx_n_s_magic_offset, __pyx_k_magic_offset, sizeof(__pyx_k_magic_offset), 0, 0, 1, 1},
    {&__pyx_n_s_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 0, 1, 1},
    {&__pyx_n_s_main_2, __pyx_k_main_2, sizeof(__pyx_k_main_2), 0, 0, 1, 1},
    {&__pyx_n_s_metaclass, __pyx_k_metaclass, sizeof(__pyx_k_metaclass), 0, 0, 1, 1},
    {&__pyx_n_s_module, __pyx_k_module, sizeof(__pyx_k_module), 0, 0, 1, 1},
    {&__pyx_n_s_name, __pyx_k_name, sizeof(__pyx_k_name), 0, 0, 1, 1},
    {&__pyx_n_s_new_pos, __pyx_k_new_pos, sizeof(__pyx_k_new_pos), 0, 0, 1, 1},
    {&__pyx_n_s_old_index, __pyx_k_old_index, sizeof(__pyx_k_old_index), 0, 0, 1, 1},
    {&__pyx_n_s_old_pos, __pyx_k_old_pos, sizeof(__pyx_k_old_pos), 0, 0, 1, 1},
    {&__pyx_n_s_prepare, __pyx_k_prepare, sizeof(__pyx_k_prepare), 0, 0, 1, 1},
    {&__pyx_n_s_print, __pyx_k_print, sizeof(__pyx_k_print), 0, 0, 1, 1},
    {&__pyx_n_s_qualname, __pyx_k_qualname, sizeof(__pyx_k_qualname), 0, 0, 1, 1},
    {&__pyx_n_s_result, __pyx_k_result, sizeof(__pyx_k_result), 0, 0, 1, 1},
    {&__pyx_n_s_secret_blueprint, __pyx_k_secret_blueprint, sizeof(__pyx_k_secret_blueprint), 0, 0, 1, 1},
    {&__pyx_n_s_secret_multiplier, __pyx_k_secret_multiplier, sizeof(__pyx_k_secret_multiplier), 0, 0, 1, 1},
    {&__pyx_n_s_self, __pyx_k_self, sizeof(__pyx_k_self), 0, 0, 1, 1},
    {&__pyx_n_s_set_name, __pyx_k_set_name, sizeof(__pyx_k_set_name), 0, 0, 1, 1},
    {&__pyx_n_s_spec, __pyx_k_spec, sizeof(__pyx_k_spec), 0, 0, 1, 1},
    {&__pyx_n_s_stage1, __pyx_k_stage1, sizeof(__pyx_k_stage1), 0, 0, 1, 1},
    {&__pyx_n_s_stage1_transform, __pyx_k_stage1_transform, sizeof(__pyx_k_stage1_transform), 0, 0, 1, 1},
    {&__pyx_n_s_stage2, __pyx_k_stage2, sizeof(__pyx_k_stage2), 0, 0, 1, 1},
    {&__pyx_n_s_stage2_scramble, __pyx_k_stage2_scramble, sizeof(__pyx_k_stage2_scramble), 0, 0, 1, 1},
    {&__pyx_n_s_stage3_encode, __pyx_k_stage3_encode, sizeof(__pyx_k_stage3_encode), 0, 0, 1, 1},
    {&__pyx_n_s_standard_alphabet, __pyx_k_standard_alphabet, sizeof(__pyx_k_standard_alphabet), 0, 0, 1, 1},
    {&__pyx_n_s_super, __pyx_k_super, sizeof(__pyx_k_super), 0, 0, 1, 1},
    {&__pyx_n_s_test, __pyx_k_test, sizeof(__pyx_k_test), 0, 0, 1, 1},
    {&__pyx_kp_s_tracing_back_through_their_secu, __pyx_k_tracing_back_through_their_secu, sizeof(__pyx_k_tracing_back_through_their_secu), 0, 0, 1, 0},
    {&__pyx_n_s_val, __pyx_k_val, sizeof(__pyx_k_val), 0, 0, 1, 1},
    {0, 0, 0, 0, 0, 0, 0}
  };
  return __Pyx_InitStrings(__pyx_string_tab);
}
/* #### Code section: cached_builtins ### */
static CYTHON_SMALL_CODE int __Pyx_InitCachedBuiltins(void) {
  __pyx_builtin_enumerate = __Pyx_GetBuiltinName(__pyx_n_s_enumerate); if (!__pyx_builtin_enumerate) __PYX_ERR(0, 27, __pyx_L1_error)
  __pyx_builtin_chr = __Pyx_GetBuiltinName(__pyx_n_s_chr); if (!__pyx_builtin_chr) __PYX_ERR(0, 29, __pyx_L1_error)
  __pyx_builtin_print = __Pyx_GetBuiltinName(__pyx_n_s_print); if (!__pyx_builtin_print) __PYX_ERR(0, 67, __pyx_L1_error)
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: cached_constants ### */

static CYTHON_SMALL_CODE int __Pyx_InitCachedConstants(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);

  /* "chall.pyx":68
 * 
 *     print("\n" + "="*60)
 *     print("HIDDEN FACTORY")             # <<<<<<<<<<<<<<
 *     print("="*60)
 *     print("CHALLENGE DESCRIPTION:")
 */
  __pyx_tuple__4 = PyTuple_Pack(1, __pyx_kp_s_HIDDEN_FACTORY); if (unlikely(!__pyx_tuple__4)) __PYX_ERR(0, 68, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__4);
  __Pyx_GIVEREF(__pyx_tuple__4);

  /* "chall.pyx":69
 *     print("\n" + "="*60)
 *     print("HIDDEN FACTORY")
 *     print("="*60)             # <<<<<<<<<<<<<<
 *     print("CHALLENGE DESCRIPTION:")
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 */
  __pyx_tuple__5 = PyTuple_Pack(1, __pyx_kp_s__3); if (unlikely(!__pyx_tuple__5)) __PYX_ERR(0, 69, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__5);
  __Pyx_GIVEREF(__pyx_tuple__5);

  /* "chall.pyx":70
 *     print("HIDDEN FACTORY")
 *     print("="*60)
 *     print("CHALLENGE DESCRIPTION:")             # <<<<<<<<<<<<<<
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 */
  __pyx_tuple__6 = PyTuple_Pack(1, __pyx_kp_s_CHALLENGE_DESCRIPTION); if (unlikely(!__pyx_tuple__6)) __PYX_ERR(0, 70, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__6);
  __Pyx_GIVEREF(__pyx_tuple__6);

  /* "chall.pyx":71
 *     print("="*60)
 *     print("CHALLENGE DESCRIPTION:")
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")             # <<<<<<<<<<<<<<
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 */
  __pyx_tuple__7 = PyTuple_Pack(1, __pyx_kp_s_Welcome_to_the_Hidden_Factory_B); if (unlikely(!__pyx_tuple__7)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__7);
  __Pyx_GIVEREF(__pyx_tuple__7);

  /* "chall.pyx":72
 *     print("CHALLENGE DESCRIPTION:")
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")             # <<<<<<<<<<<<<<
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 */
  __pyx_tuple__8 = PyTuple_Pack(1, __pyx_kp_s_The_factory_s_engineers_have_de); if (unlikely(!__pyx_tuple__8)) __PYX_ERR(0, 72, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__8);
  __Pyx_GIVEREF(__pyx_tuple__8);

  /* "chall.pyx":73
 *     print("   Welcome to the \"Hidden Factory Blueprint Vault\"! A mysterious industrial facility has secured their most valuable blueprint using a sophisticated encryption system.")
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")             # <<<<<<<<<<<<<<
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 *     print("="*60)
 */
  __pyx_tuple__9 = PyTuple_Pack(1, __pyx_kp_s_Can_you_reverse_engineer_their); if (unlikely(!__pyx_tuple__9)) __PYX_ERR(0, 73, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__9);
  __Pyx_GIVEREF(__pyx_tuple__9);

  /* "chall.pyx":74
 *     print("   The factory's engineers have developed a multi-layered security protocol that transforms sensitive data through various computational processes before locking it away.")
 *     print("   Can you reverse-engineer their protection mechanism and recover the original blueprint? The secret lies in understanding the factory's methodology,")
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")             # <<<<<<<<<<<<<<
 *     print("="*60)
 *     print("YOUR TASK:")
 */
  __pyx_tuple__10 = PyTuple_Pack(1, __pyx_kp_s_tracing_back_through_their_secu); if (unlikely(!__pyx_tuple__10)) __PYX_ERR(0, 74, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__10);
  __Pyx_GIVEREF(__pyx_tuple__10);

  /* "chall.pyx":76
 *     print("   tracing back through their security layers, and carefully reconstructing the original information.")
 *     print("="*60)
 *     print("YOUR TASK:")             # <<<<<<<<<<<<<<
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")
 *     print("="*60)
 */
  __pyx_tuple__11 = PyTuple_Pack(1, __pyx_kp_s_YOUR_TASK); if (unlikely(!__pyx_tuple__11)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__11);
  __Pyx_GIVEREF(__pyx_tuple__11);

  /* "chall.pyx":77
 *     print("="*60)
 *     print("YOUR TASK:")
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")             # <<<<<<<<<<<<<<
 *     print("="*60)
 *     print(f" ENCRYPTED BLUEPRINT:")
 */
  __pyx_tuple__12 = PyTuple_Pack(1, __pyx_kp_s_Analyze_this_source_code_and_de); if (unlikely(!__pyx_tuple__12)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__12);
  __Pyx_GIVEREF(__pyx_tuple__12);

  /* "chall.pyx":79
 *     print("   Analyze this source code and decrypt the encrypted blueprint below.")
 *     print("="*60)
 *     print(f" ENCRYPTED BLUEPRINT:")             # <<<<<<<<<<<<<<
 *     print(f"   {encrypted_blueprint}")
 *     print("="*60)
 */
  __pyx_tuple__13 = PyTuple_Pack(1, __pyx_kp_u_ENCRYPTED_BLUEPRINT); if (unlikely(!__pyx_tuple__13)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__13);
  __Pyx_GIVEREF(__pyx_tuple__13);

  /* "chall.pyx":6
 * 
 * class HiddenFactory:
 *     def __init__(self):             # <<<<<<<<<<<<<<
 *         self.factory_id = [67, 84, 70]
 *         self.secret_multiplier = 7
 */
  __pyx_tuple__16 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__16)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__16);
  __Pyx_GIVEREF(__pyx_tuple__16);
  __pyx_codeobj__17 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__16, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_chall_pyx, __pyx_n_s_init, 6, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__17)) __PYX_ERR(0, 6, __pyx_L1_error)

  /* "chall.pyx":11
 *         self.magic_offset = 23
 * 
 *     def _stage1_transform(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 */
  __pyx_tuple__18 = PyTuple_Pack(7, __pyx_n_s_self, __pyx_n_s_data, __pyx_n_s_result, __pyx_n_s_alphabet, __pyx_n_s_char, __pyx_n_s_old_pos, __pyx_n_s_new_pos); if (unlikely(!__pyx_tuple__18)) __PYX_ERR(0, 11, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__18);
  __Pyx_GIVEREF(__pyx_tuple__18);
  __pyx_codeobj__19 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 7, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__18, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_chall_pyx, __pyx_n_s_stage1_transform, 11, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__19)) __PYX_ERR(0, 11, __pyx_L1_error)

  /* "chall.pyx":25
 *         return ''.join(result)
 * 
 *     def _stage2_scramble(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         for i, char in enumerate(data):
 */
  __pyx_tuple__20 = PyTuple_Pack(6, __pyx_n_s_self, __pyx_n_s_data, __pyx_n_s_result, __pyx_n_s_i, __pyx_n_s_char, __pyx_n_s_val); if (unlikely(!__pyx_tuple__20)) __PYX_ERR(0, 25, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__20);
  __Pyx_GIVEREF(__pyx_tuple__20);
  __pyx_codeobj__21 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__20, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_chall_pyx, __pyx_n_s_stage2_scramble, 25, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__21)) __PYX_ERR(0, 25, __pyx_L1_error)

  /* "chall.pyx":33
 *         return ''.join(result)
 * 
 *     def _stage3_encode(self, data):             # <<<<<<<<<<<<<<
 *         data_bytes = data.encode('latin-1')
 * 
 */
  __pyx_tuple__22 = PyTuple_Pack(9, __pyx_n_s_self, __pyx_n_s_data, __pyx_n_s_data_bytes, __pyx_n_s_custom_alphabet, __pyx_n_s_encoded, __pyx_n_s_standard_alphabet, __pyx_n_s_result, __pyx_n_s_char, __pyx_n_s_old_index); if (unlikely(!__pyx_tuple__22)) __PYX_ERR(0, 33, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__22);
  __Pyx_GIVEREF(__pyx_tuple__22);
  __pyx_codeobj__23 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__22, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_chall_pyx, __pyx_n_s_stage3_encode, 33, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__23)) __PYX_ERR(0, 33, __pyx_L1_error)

  /* "chall.pyx":51
 *         return result
 * 
 *     def encrypt_blueprint(self, blueprint):             # <<<<<<<<<<<<<<
 *         stage1 = self._stage1_transform(blueprint)
 * 
 */
  __pyx_tuple__24 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_blueprint, __pyx_n_s_stage1, __pyx_n_s_stage2, __pyx_n_s_final_result); if (unlikely(!__pyx_tuple__24)) __PYX_ERR(0, 51, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__24);
  __Pyx_GIVEREF(__pyx_tuple__24);
  __pyx_codeobj__25 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__24, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_chall_pyx, __pyx_n_s_encrypt_blueprint, 51, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__25)) __PYX_ERR(0, 51, __pyx_L1_error)

  /* "chall.pyx":60
 *         return final_result
 * 
 * def main():             # <<<<<<<<<<<<<<
 *     factory = HiddenFactory()
 * 
 */
  __pyx_tuple__26 = PyTuple_Pack(3, __pyx_n_s_factory, __pyx_n_s_secret_blueprint, __pyx_n_s_encrypted_blueprint); if (unlikely(!__pyx_tuple__26)) __PYX_ERR(0, 60, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__26);
  __Pyx_GIVEREF(__pyx_tuple__26);
  __pyx_codeobj__27 = (PyObject*)__Pyx_PyCode_New(0, 0, 0, 3, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__26, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_chall_pyx, __pyx_n_s_main_2, 60, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__27)) __PYX_ERR(0, 60, __pyx_L1_error)
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}
/* #### Code section: init_constants ### */

static CYTHON_SMALL_CODE int __Pyx_InitConstants(void) {
  if (__Pyx_CreateStringTabAndInitStrings() < 0) __PYX_ERR(0, 2, __pyx_L1_error);
  __pyx_int_0 = PyInt_FromLong(0); if (unlikely(!__pyx_int_0)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_1 = PyInt_FromLong(1); if (unlikely(!__pyx_int_1)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_7 = PyInt_FromLong(7); if (unlikely(!__pyx_int_7)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_23 = PyInt_FromLong(23); if (unlikely(!__pyx_int_23)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_67 = PyInt_FromLong(67); if (unlikely(!__pyx_int_67)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_70 = PyInt_FromLong(70); if (unlikely(!__pyx_int_70)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_84 = PyInt_FromLong(84); if (unlikely(!__pyx_int_84)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_int_256 = PyInt_FromLong(256); if (unlikely(!__pyx_int_256)) __PYX_ERR(0, 2, __pyx_L1_error)
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_globals ### */

static CYTHON_SMALL_CODE int __Pyx_InitGlobals(void) {
  return 0;
}
/* #### Code section: init_module ### */

static CYTHON_SMALL_CODE int __Pyx_modinit_global_init_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_variable_export_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_function_export_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_type_init_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_type_import_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_variable_import_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_function_import_code(void); /*proto*/

static int __Pyx_modinit_global_init_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_global_init_code", 0);
  /*--- Global init code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_variable_export_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_variable_export_code", 0);
  /*--- Variable export code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_function_export_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_function_export_code", 0);
  /*--- Function export code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_type_init_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_type_init_code", 0);
  /*--- Type init code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_type_import_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_type_import_code", 0);
  /*--- Type import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_variable_import_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_variable_import_code", 0);
  /*--- Variable import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_function_import_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_function_import_code", 0);
  /*--- Function import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}


#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_chall(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_chall},
  {0, NULL}
};
#endif

#ifdef __cplusplus
namespace {
  struct PyModuleDef __pyx_moduledef =
  #else
  static struct PyModuleDef __pyx_moduledef =
  #endif
  {
      PyModuleDef_HEAD_INIT,
      "chall",
      0, /* m_doc */
    #if CYTHON_PEP489_MULTI_PHASE_INIT
      0, /* m_size */
    #elif CYTHON_USE_MODULE_STATE
      sizeof(__pyx_mstate), /* m_size */
    #else
      -1, /* m_size */
    #endif
      __pyx_methods /* m_methods */,
    #if CYTHON_PEP489_MULTI_PHASE_INIT
      __pyx_moduledef_slots, /* m_slots */
    #else
      NULL, /* m_reload */
    #endif
    #if CYTHON_USE_MODULE_STATE
      __pyx_m_traverse, /* m_traverse */
      __pyx_m_clear, /* m_clear */
      NULL /* m_free */
    #else
      NULL, /* m_traverse */
      NULL, /* m_clear */
      NULL /* m_free */
    #endif
  };
  #ifdef __cplusplus
} /* anonymous namespace */
#endif
#endif

#ifndef CYTHON_NO_PYINIT_EXPORT
#define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC
#elif PY_MAJOR_VERSION < 3
#ifdef __cplusplus
#define __Pyx_PyMODINIT_FUNC extern "C" void
#else
#define __Pyx_PyMODINIT_FUNC void
#endif
#else
#ifdef __cplusplus
#define __Pyx_PyMODINIT_FUNC extern "C" PyObject *
#else
#define __Pyx_PyMODINIT_FUNC PyObject *
#endif
#endif


#if PY_MAJOR_VERSION < 3
__Pyx_PyMODINIT_FUNC initchall(void) CYTHON_SMALL_CODE; /*proto*/
__Pyx_PyMODINIT_FUNC initchall(void)
#else
__Pyx_PyMODINIT_FUNC PyInit_chall(void) CYTHON_SMALL_CODE; /*proto*/
__Pyx_PyMODINIT_FUNC PyInit_chall(void)
#if CYTHON_PEP489_MULTI_PHASE_INIT
{
  return PyModuleDef_Init(&__pyx_moduledef);
}
static CYTHON_SMALL_CODE int __Pyx_check_single_interpreter(void) {
    #if PY_VERSION_HEX >= 0x030700A1
    static PY_INT64_T main_interpreter_id = -1;
    PY_INT64_T current_id = PyInterpreterState_GetID(PyThreadState_Get()->interp);
    if (main_interpreter_id == -1) {
        main_interpreter_id = current_id;
        return (unlikely(current_id == -1)) ? -1 : 0;
    } else if (unlikely(main_interpreter_id != current_id))
    #else
    static PyInterpreterState *main_interpreter = NULL;
    PyInterpreterState *current_interpreter = PyThreadState_Get()->interp;
    if (!main_interpreter) {
        main_interpreter = current_interpreter;
    } else if (unlikely(main_interpreter != current_interpreter))
    #endif
    {
        PyErr_SetString(
            PyExc_ImportError,
            "Interpreter change detected - this module can only be loaded into one interpreter per process.");
        return -1;
    }
    return 0;
}
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_SMALL_CODE int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *module, const char* from_name, const char* to_name, int allow_none)
#else
static CYTHON_SMALL_CODE int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *moddict, const char* from_name, const char* to_name, int allow_none)
#endif
{
    PyObject *value = PyObject_GetAttrString(spec, from_name);
    int result = 0;
    if (likely(value)) {
        if (allow_none || value != Py_None) {
#if CYTHON_COMPILING_IN_LIMITED_API
            result = PyModule_AddObject(module, to_name, value);
#else
            result = PyDict_SetItemString(moddict, to_name, value);
#endif
        }
        Py_DECREF(value);
    } else if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Clear();
    } else {
        result = -1;
    }
    return result;
}
static CYTHON_SMALL_CODE PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def) {
    PyObject *module = NULL, *moddict, *modname;
    CYTHON_UNUSED_VAR(def);
    if (__Pyx_check_single_interpreter())
        return NULL;
    if (__pyx_m)
        return __Pyx_NewRef(__pyx_m);
    modname = PyObject_GetAttrString(spec, "name");
    if (unlikely(!modname)) goto bad;
    module = PyModule_NewObject(modname);
    Py_DECREF(modname);
    if (unlikely(!module)) goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    moddict = module;
#else
    moddict = PyModule_GetDict(module);
    if (unlikely(!moddict)) goto bad;
#endif
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "loader", "__loader__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "origin", "__file__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "parent", "__package__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "submodule_search_locations", "__path__", 0) < 0)) goto bad;
    return module;
bad:
    Py_XDECREF(module);
    return NULL;
}


static CYTHON_SMALL_CODE int __pyx_pymod_exec_chall(PyObject *__pyx_pyinit_module)
#endif
#endif
{
  int stringtab_initialized = 0;
  #if CYTHON_USE_MODULE_STATE
  int pystate_addmodule_run = 0;
  #endif
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  if (__pyx_m) {
    if (__pyx_m == __pyx_pyinit_module) return 0;
    PyErr_SetString(PyExc_RuntimeError, "Module 'chall' has already been imported. Re-initialisation is not supported.");
    return -1;
  }
  #elif PY_MAJOR_VERSION >= 3
  if (__pyx_m) return __Pyx_NewRef(__pyx_m);
  #endif
  /*--- Module creation code ---*/
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  __pyx_m = __pyx_pyinit_module;
  Py_INCREF(__pyx_m);
  #else
  #if PY_MAJOR_VERSION < 3
  __pyx_m = Py_InitModule4("chall", __pyx_methods, 0, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
  if (unlikely(!__pyx_m)) __PYX_ERR(0, 2, __pyx_L1_error)
  #elif CYTHON_USE_MODULE_STATE
  __pyx_t_1 = PyModule_Create(&__pyx_moduledef); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 2, __pyx_L1_error)
  {
    int add_module_result = PyState_AddModule(__pyx_t_1, &__pyx_moduledef);
    __pyx_t_1 = 0; /* transfer ownership from __pyx_t_1 to "chall" pseudovariable */
    if (unlikely((add_module_result < 0))) __PYX_ERR(0, 2, __pyx_L1_error)
    pystate_addmodule_run = 1;
  }
  #else
  __pyx_m = PyModule_Create(&__pyx_moduledef);
  if (unlikely(!__pyx_m)) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  #endif
  CYTHON_UNUSED_VAR(__pyx_t_1);
  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) __PYX_ERR(0, 2, __pyx_L1_error)
  Py_INCREF(__pyx_d);
  __pyx_b = __Pyx_PyImport_AddModuleRef(__Pyx_BUILTIN_MODULE_NAME); if (unlikely(!__pyx_b)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_cython_runtime = __Pyx_PyImport_AddModuleRef((const char *) "cython_runtime"); if (unlikely(!__pyx_cython_runtime)) __PYX_ERR(0, 2, __pyx_L1_error)
  if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #if CYTHON_REFNANNY
__Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
if (!__Pyx_RefNanny) {
  PyErr_Clear();
  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("Cython.Runtime.refnanny");
  if (!__Pyx_RefNanny)
      Py_FatalError("failed to import 'refnanny' module");
}
#endif
  __Pyx_RefNannySetupContext("__Pyx_PyMODINIT_FUNC PyInit_chall(void)", 0);
  if (__Pyx_check_binary_version(__PYX_LIMITED_VERSION_HEX, __Pyx_get_runtime_version(), CYTHON_COMPILING_IN_LIMITED_API) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #ifdef __Pxy_PyFrame_Initialize_Offsets
  __Pxy_PyFrame_Initialize_Offsets();
  #endif
  __pyx_empty_tuple = PyTuple_New(0); if (unlikely(!__pyx_empty_tuple)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_empty_bytes = PyBytes_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_bytes)) __PYX_ERR(0, 2, __pyx_L1_error)
  __pyx_empty_unicode = PyUnicode_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_unicode)) __PYX_ERR(0, 2, __pyx_L1_error)
  #ifdef __Pyx_CyFunction_USED
  if (__pyx_CyFunction_init(__pyx_m) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  #ifdef __Pyx_FusedFunction_USED
  if (__pyx_FusedFunction_init(__pyx_m) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  #ifdef __Pyx_Coroutine_USED
  if (__pyx_Coroutine_init(__pyx_m) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  #ifdef __Pyx_Generator_USED
  if (__pyx_Generator_init(__pyx_m) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  #ifdef __Pyx_AsyncGen_USED
  if (__pyx_AsyncGen_init(__pyx_m) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  #ifdef __Pyx_StopAsyncIteration_USED
  if (__pyx_StopAsyncIteration_init(__pyx_m) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  /*--- Library function declarations ---*/
  /*--- Threads initialization code ---*/
  #if defined(WITH_THREAD) && PY_VERSION_HEX < 0x030700F0 && defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS
  PyEval_InitThreads();
  #endif
  /*--- Initialize various global constants etc. ---*/
  if (__Pyx_InitConstants() < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  stringtab_initialized = 1;
  if (__Pyx_InitGlobals() < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #if PY_MAJOR_VERSION < 3 && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
  if (__Pyx_init_sys_getdefaultencoding_params() < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif
  if (__pyx_module_is_main_chall) {
    if (PyObject_SetAttr(__pyx_m, __pyx_n_s_name, __pyx_n_s_main) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  }
  #if PY_MAJOR_VERSION >= 3
  {
    PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) __PYX_ERR(0, 2, __pyx_L1_error)
    if (!PyDict_GetItemString(modules, "chall")) {
      if (unlikely((PyDict_SetItemString(modules, "chall", __pyx_m) < 0))) __PYX_ERR(0, 2, __pyx_L1_error)
    }
  }
  #endif
  /*--- Builtin init code ---*/
  if (__Pyx_InitCachedBuiltins() < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  /*--- Constants init code ---*/
  if (__Pyx_InitCachedConstants() < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  /*--- Global type/function init code ---*/
  (void)__Pyx_modinit_global_init_code();
  (void)__Pyx_modinit_variable_export_code();
  (void)__Pyx_modinit_function_export_code();
  (void)__Pyx_modinit_type_init_code();
  (void)__Pyx_modinit_type_import_code();
  (void)__Pyx_modinit_variable_import_code();
  (void)__Pyx_modinit_function_import_code();
  /*--- Execution code ---*/
  #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
  if (__Pyx_patch_abc() < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  #endif

  /* "chall.pyx":2
 * 
 * import base64             # <<<<<<<<<<<<<<
 * import hashlib
 * 
 */
  __pyx_t_2 = __Pyx_ImportDottedModule(__pyx_n_s_base64, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_base64, __pyx_t_2) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":3
 * 
 * import base64
 * import hashlib             # <<<<<<<<<<<<<<
 * 
 * class HiddenFactory:
 */
  __pyx_t_2 = __Pyx_ImportDottedModule(__pyx_n_s_hashlib, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 3, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_hashlib, __pyx_t_2) < 0) __PYX_ERR(0, 3, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":5
 * import hashlib
 * 
 * class HiddenFactory:             # <<<<<<<<<<<<<<
 *     def __init__(self):
 *         self.factory_id = [67, 84, 70]
 */
  __pyx_t_2 = __Pyx_Py3MetaclassPrepare((PyObject *) NULL, __pyx_empty_tuple, __pyx_n_s_HiddenFactory, __pyx_n_s_HiddenFactory, (PyObject *) NULL, __pyx_n_s_chall, (PyObject *) NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "chall.pyx":6
 * 
 * class HiddenFactory:
 *     def __init__(self):             # <<<<<<<<<<<<<<
 *         self.factory_id = [67, 84, 70]
 *         self.secret_multiplier = 7
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_5chall_13HiddenFactory_1__init__, 0, __pyx_n_s_HiddenFactory___init, NULL, __pyx_n_s_chall, __pyx_d, ((PyObject *)__pyx_codeobj__17)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (__Pyx_SetNameInClass(__pyx_t_2, __pyx_n_s_init, __pyx_t_3) < 0) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "chall.pyx":11
 *         self.magic_offset = 23
 * 
 *     def _stage1_transform(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789{}_"
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_5chall_13HiddenFactory_3_stage1_transform, 0, __pyx_n_s_HiddenFactory__stage1_transform, NULL, __pyx_n_s_chall, __pyx_d, ((PyObject *)__pyx_codeobj__19)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 11, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (__Pyx_SetNameInClass(__pyx_t_2, __pyx_n_s_stage1_transform, __pyx_t_3) < 0) __PYX_ERR(0, 11, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "chall.pyx":25
 *         return ''.join(result)
 * 
 *     def _stage2_scramble(self, data):             # <<<<<<<<<<<<<<
 *         result = []
 *         for i, char in enumerate(data):
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_5chall_13HiddenFactory_5_stage2_scramble, 0, __pyx_n_s_HiddenFactory__stage2_scramble, NULL, __pyx_n_s_chall, __pyx_d, ((PyObject *)__pyx_codeobj__21)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 25, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (__Pyx_SetNameInClass(__pyx_t_2, __pyx_n_s_stage2_scramble, __pyx_t_3) < 0) __PYX_ERR(0, 25, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "chall.pyx":33
 *         return ''.join(result)
 * 
 *     def _stage3_encode(self, data):             # <<<<<<<<<<<<<<
 *         data_bytes = data.encode('latin-1')
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_5chall_13HiddenFactory_7_stage3_encode, 0, __pyx_n_s_HiddenFactory__stage3_encode, NULL, __pyx_n_s_chall, __pyx_d, ((PyObject *)__pyx_codeobj__23)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 33, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (__Pyx_SetNameInClass(__pyx_t_2, __pyx_n_s_stage3_encode, __pyx_t_3) < 0) __PYX_ERR(0, 33, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "chall.pyx":51
 *         return result
 * 
 *     def encrypt_blueprint(self, blueprint):             # <<<<<<<<<<<<<<
 *         stage1 = self._stage1_transform(blueprint)
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_5chall_13HiddenFactory_9encrypt_blueprint, 0, __pyx_n_s_HiddenFactory_encrypt_blueprint, NULL, __pyx_n_s_chall, __pyx_d, ((PyObject *)__pyx_codeobj__25)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 51, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (__Pyx_SetNameInClass(__pyx_t_2, __pyx_n_s_encrypt_blueprint, __pyx_t_3) < 0) __PYX_ERR(0, 51, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "chall.pyx":5
 * import hashlib
 * 
 * class HiddenFactory:             # <<<<<<<<<<<<<<
 *     def __init__(self):
 *         self.factory_id = [67, 84, 70]
 */
  __pyx_t_3 = __Pyx_Py3ClassCreate(((PyObject*)&PyType_Type), __pyx_n_s_HiddenFactory, __pyx_empty_tuple, __pyx_t_2, NULL, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_HiddenFactory, __pyx_t_3) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":60
 *         return final_result
 * 
 * def main():             # <<<<<<<<<<<<<<
 *     factory = HiddenFactory()
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_5chall_1main, 0, __pyx_n_s_main_2, NULL, __pyx_n_s_chall, __pyx_d, ((PyObject *)__pyx_codeobj__27)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 60, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_main_2, __pyx_t_2) < 0) __PYX_ERR(0, 60, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "chall.pyx":83
 *     print("="*60)
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     main()
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_name); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 83, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = (__Pyx_PyString_Equals(__pyx_t_2, __pyx_n_s_main, Py_EQ)); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 83, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_4) {

    /* "chall.pyx":84
 * 
 * if __name__ == "__main__":
 *     main()             # <<<<<<<<<<<<<<
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_main_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 84, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyObject_CallNoArg(__pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 84, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "chall.pyx":83
 *     print("="*60)
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     main()
 */
  }

  /* "chall.pyx":2
 * 
 * import base64             # <<<<<<<<<<<<<<
 * import hashlib
 * 
 */
  __pyx_t_3 = __Pyx_PyDict_NewPresized(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_3) < 0) __PYX_ERR(0, 2, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /*--- Wrapped vars code ---*/

  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  if (__pyx_m) {
    if (__pyx_d && stringtab_initialized) {
      __Pyx_AddTraceback("init chall", __pyx_clineno, __pyx_lineno, __pyx_filename);
    }
    #if !CYTHON_USE_MODULE_STATE
    Py_CLEAR(__pyx_m);
    #else
    Py_DECREF(__pyx_m);
    if (pystate_addmodule_run) {
      PyObject *tp, *value, *tb;
      PyErr_Fetch(&tp, &value, &tb);
      PyState_RemoveModule(&__pyx_moduledef);
      PyErr_Restore(tp, value, tb);
    }
    #endif
  } else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_ImportError, "init chall");
  }
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  return (__pyx_m != NULL) ? 0 : -1;
  #elif PY_MAJOR_VERSION >= 3
  return __pyx_m;
  #else
  return;
  #endif
}
/* #### Code section: cleanup_globals ### */
/* #### Code section: cleanup_module ### */
/* #### Code section: main_method ### */
/* #### Code section: utility_code_pragmas ### */
#ifdef _MSC_VER
#pragma warning( push )
/* Warning 4127: conditional expression is constant
 * Cython uses constant conditional expressions to allow in inline functions to be optimized at
 * compile-time, so this warning is not useful
 */
#pragma warning( disable : 4127 )
#endif



/* #### Code section: utility_code_def ### */

/* --- Runtime support code --- */
/* Refnanny */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule(modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, "RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif

/* PyErrExceptionMatches */
#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);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    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

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif

/* PyObjectGetAttrStr */
#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);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError */
#if __PYX_LIMITED_VERSION_HEX < 0x030d00A1
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 >= 0x030d00A1
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    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_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

/* TupleAndListFromArray */
#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);
    }
}
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        Py_INCREF(__pyx_empty_tuple);
        return __pyx_empty_tuple;
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    return res;
}
static CYTHON_INLINE PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return PyList_New(0);
    }
    res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    return res;
}
#endif

/* BytesEquals */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = PyTuple_GET_SIZE(kwnames);
    for (i = 0; i < n; i++)
    {
        if (s == PyTuple_GET_ITEM(kwnames, i)) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        int eq = __Pyx_PyUnicode_Equals(s, PyTuple_GET_ITEM(kwnames, i), Py_EQ);
        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_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs = PyTuple_GET_SIZE(kwnames);
    PyObject *dict;
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
    while (1) {
        Py_XDECREF(key); key = NULL;
        Py_XDECREF(value); value = NULL;
        if (kwds_is_tuple) {
            Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(kwds);
#else
            size = PyTuple_Size(kwds);
            if (size < 0) goto bad;
#endif
            if (pos >= size) break;
#if CYTHON_AVOID_BORROWED_REFS
            key = __Pyx_PySequence_ITEM(kwds, pos);
            if (!key) goto bad;
#elif CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kwds, pos);
#else
            key = PyTuple_GetItem(kwds, pos);
            if (!key) goto bad;
#endif
            value = kwvalues[pos];
            pos++;
        }
        else
        {
            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
#endif
        }
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(value);
            Py_DECREF(key);
#endif
            key = NULL;
            value = NULL;
            continue;
        }
#if !CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(key);
#endif
        Py_INCREF(value);
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key)
                );
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    Py_XDECREF(key);
    Py_XDECREF(value);
    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;
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    Py_XDECREF(key);
    Py_XDECREF(value);
    return -1;
}

/* 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);
}

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) {
        return NULL;
    }
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) {
        return NULL;
    }
    #endif
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif

/* PyObjectCall */
#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 PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    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 */
#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 PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    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 */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **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
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#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 PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
        #if PY_VERSION_HEX < 0x03090000
        vectorcallfunc f = _PyVectorcall_Function(func);
        #else
        vectorcallfunc f = PyVectorcall_Function(func);
        #endif
        if (f) {
            return f(func, args, (size_t)nargs, NULL);
        }
        #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
        if (__Pyx_CyFunction_CheckExact(func)) {
            __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
            if (f) return f(func, args, (size_t)nargs, NULL);
        }
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #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 CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_subscript) {
            PyObject *r, *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && 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 NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || !PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* PyObjectCallOneArg */
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);
}

/* 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, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_n_s_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    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

/* PyObjectCall2Args */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    __Pyx_TypeName type_name;
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
        if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
#elif PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (likely(descr != NULL)) {
        *method = descr;
        return 0;
    }
    type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod1 */
#if !(CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030C00A2)
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
#endif
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030C00A2
    PyObject *args[2] = {obj, arg};
    (void) __Pyx_PyObject_GetMethod;
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_Call2Args;
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
#endif
}

/* StringJoin */
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values) {
    (void) __Pyx_PyObject_CallMethod1;
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION < 3
    return _PyString_Join(sep, values);
#elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
    return _PyBytes_Join(sep, values);
#else
    return __Pyx_PyObject_CallMethod1(sep, __pyx_n_s_join, values);
#endif
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
        
            x = (long)((unsigned long)a + (unsigned long)b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
            return __Pyx_NewRef(op2);
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_RemainderObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
        
            x = a % b;
            x += ((x != 0) & ((x ^ b) < 0)) * b;
            return PyInt_FromLong(x);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
            return __Pyx_NewRef(op1);
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (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]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (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]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_remainder(op1, op2);
            }
        }
                x = a % b;
                x += ((x != 0) & ((x ^ b) < 0)) * b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla % llb;
                llx += ((llx != 0) & ((llx ^ llb) < 0)) * llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    return (inplace ? PyNumber_InPlaceRemainder : PyNumber_Remainder)(op1, op2);
}
#endif

/* UnicodeAsUCS4 */
static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject* x) {
   Py_ssize_t length;
   #if CYTHON_PEP393_ENABLED
   length = PyUnicode_GET_LENGTH(x);
   if (likely(length == 1)) {
       return PyUnicode_READ_CHAR(x, 0);
   }
   #else
   length = PyUnicode_GET_SIZE(x);
   if (likely(length == 1)) {
       return PyUnicode_AS_UNICODE(x)[0];
   }
   #if Py_UNICODE_SIZE == 2
   else if (PyUnicode_GET_SIZE(x) == 2) {
       Py_UCS4 high_val = PyUnicode_AS_UNICODE(x)[0];
       if (high_val >= 0xD800 && high_val <= 0xDBFF) {
           Py_UCS4 low_val = PyUnicode_AS_UNICODE(x)[1];
           if (low_val >= 0xDC00 && low_val <= 0xDFFF) {
               return 0x10000 + (((high_val & ((1<<10)-1)) << 10) | (low_val & ((1<<10)-1)));
           }
       }
   }
   #endif
   #endif
   PyErr_Format(PyExc_ValueError,
                "only single character unicode strings can be converted to Py_UCS4, "
                "got length %" CYTHON_FORMAT_SSIZE_T "d", length);
   return (Py_UCS4)-1;
}

/* object_ord */
static long __Pyx__PyObject_Ord(PyObject* c) {
    Py_ssize_t size;
    if (PyBytes_Check(c)) {
        size = PyBytes_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyBytes_AS_STRING(c)[0];
        }
#if PY_MAJOR_VERSION < 3
    } else if (PyUnicode_Check(c)) {
        return (long)__Pyx_PyUnicode_AsPy_UCS4(c);
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    } else if (PyByteArray_Check(c)) {
        size = PyByteArray_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyByteArray_AS_STRING(c)[0];
        }
#endif
    } else {
        __Pyx_TypeName c_type_name = __Pyx_PyType_GetName(Py_TYPE(c));
        PyErr_Format(PyExc_TypeError,
            "ord() expected string of length 1, but " __Pyx_FMT_TYPENAME " found",
            c_type_name);
        __Pyx_DECREF_TypeName(c_type_name);
        return (long)(Py_UCS4)-1;
    }
    PyErr_Format(PyExc_TypeError,
        "ord() expected a character, but string of length %zd found", size);
    return (long)(Py_UCS4)-1;
}

/* PyDictVersioning */
#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_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && PY_VERSION_HEX < 0x030d0000
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* UnicodeConcatInPlace */
# if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
static int
__Pyx_unicode_modifiable(PyObject *unicode)
{
    if (Py_REFCNT(unicode) != 1)
        return 0;
    if (!PyUnicode_CheckExact(unicode))
        return 0;
    if (PyUnicode_CHECK_INTERNED(unicode))
        return 0;
    return 1;
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    ) {
    PyObject *left = *p_left;
    Py_ssize_t left_len, right_len, new_len;
    if (unlikely(__Pyx_PyUnicode_READY(left) == -1))
        return NULL;
    if (unlikely(__Pyx_PyUnicode_READY(right) == -1))
        return NULL;
    left_len = PyUnicode_GET_LENGTH(left);
    if (left_len == 0) {
        Py_INCREF(right);
        return right;
    }
    right_len = PyUnicode_GET_LENGTH(right);
    if (right_len == 0) {
        Py_INCREF(left);
        return left;
    }
    if (unlikely(left_len > PY_SSIZE_T_MAX - right_len)) {
        PyErr_SetString(PyExc_OverflowError,
                        "strings are too large to concat");
        return NULL;
    }
    new_len = left_len + right_len;
    if (__Pyx_unicode_modifiable(left)
            && PyUnicode_CheckExact(right)
            && PyUnicode_KIND(right) <= PyUnicode_KIND(left)
            && !(PyUnicode_IS_ASCII(left) && !PyUnicode_IS_ASCII(right))) {
        int ret;
        __Pyx_GIVEREF(*p_left);
        ret = PyUnicode_Resize(p_left, new_len);
        __Pyx_GOTREF(*p_left);
        if (unlikely(ret != 0))
            return NULL;
        #if PY_VERSION_HEX >= 0x030d0000
        if (unlikely(PyUnicode_CopyCharacters(*p_left, left_len, right, 0, right_len) < 0)) return NULL;
        #else
        _PyUnicode_FastCopyCharacters(*p_left, left_len, right, 0, right_len);
        #endif
        __Pyx_INCREF(*p_left);
        __Pyx_GIVEREF(*p_left);
        return *p_left;
    } else {
        return __Pyx_PyUnicode_Concat(left, right);
    }
  }
#endif

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (unlikely(!py_import))
        goto bad;
    if (!from_list) {
        empty_list = PyList_New(0);
        if (unlikely(!empty_list))
            goto bad;
        from_list = empty_list;
    }
    #endif
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.') != NULL) {
                module = PyImport_ImportModuleLevelObject(
                    name, __pyx_d, empty_dict, from_list, 1);
                if (unlikely(!module)) {
                    if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (unlikely(!py_level))
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, __pyx_d, empty_dict, from_list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_d, empty_dict, from_list, level);
            #endif
        }
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    return module;
}

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__15;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

/* FixUpExtensionType */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
#else
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef((char*) __PYX_ABI_MODULE_NAME);
}

/* FetchCommonType */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t basicsize,
                               Py_ssize_t expected_basicsize) {
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* abi_module;
    const char* object_name;
    PyTypeObject *cached_type = NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    object_name = strrchr(type->tp_name, '.');
    object_name = object_name ? object_name+1 : type->tp_name;
    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        if (__Pyx_VerifyCachedType(
              (PyObject *)cached_type,
              object_name,
              cached_type->tp_basicsize,
              type->tp_basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    if (PyType_Ready(type) < 0) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, (PyObject *)type) < 0)
        goto bad;
    Py_INCREF(type);
    cached_type = type;
done:
    Py_DECREF(abi_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#else
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module, *cached_type = NULL;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        Py_ssize_t basicsize;
#if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) goto bad;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = 0;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
#else
        basicsize = likely(PyType_Check(cached_type)) ? ((PyTypeObject*) cached_type)->tp_basicsize : -1;
#endif
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              basicsize,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    CYTHON_UNUSED_VAR(module);
    cached_type = __Pyx_PyType_FromModuleAndSpec(abi_module, spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, cached_type) < 0) goto bad;
done:
    Py_DECREF(abi_module);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#endif

/* PyVectorcallFastCallDict */
#if CYTHON_METH_FASTCALL
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, pos;
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    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 = i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (PyDict_Next(kw, &pos, &key, &value)) {
        keys_are_strings &= Py_TYPE(key)->tp_flags;
        Py_INCREF(key);
        Py_INCREF(value);
        PyTuple_SET_ITEM(kwnames, i, key);
        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:
    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)
{
    if (likely(kw == NULL) || PyDict_GET_SIZE(kw) == 0) {
        return vc(func, args, nargs, NULL);
    }
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    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 PY_VERSION_HEX < 0x030900B1 || 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 PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#elif PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    return 0;
}
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;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    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) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    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(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    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_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    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_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, 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;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    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_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_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(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#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
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0 || 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(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
#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 = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#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
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || 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_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    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);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
    Py_CLEAR(m->func_dict);
    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
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyObject *py_name = NULL;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#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*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            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);
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            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;
            }
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
    if (!py_name) return NULL;
    PyErr_Format(PyExc_TypeError, "%.200S() takes no keyword arguments",
                 py_name);
    Py_DECREF(py_name);
#else
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
#endif
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS
        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_MACROS
        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);
#if PY_MAJOR_VERSION > 2
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
#else
            PyErr_SetString(PyExc_TypeError,
                            "unbound method needs an argument");
#endif
            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_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__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)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_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_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_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_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
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",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(PyCFunctionObject, vectorcall),
#endif
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_PyMethod_New,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if PY_VERSION_HEX >= 0x030d00A4
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases;
#if CYTHON_ASSUME_SAFE_MACROS
    nbases = PyTuple_GET_SIZE(bases);
#else
    nbases = PyTuple_Size(bases);
    if (nbases < 0) return NULL;
#endif
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
#if CYTHON_ASSUME_SAFE_MACROS
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *tmp = PyTuple_GetItem(bases, i);
        if (!tmp) return NULL;
#endif
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* PyObjectLookupSpecial */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error) {
    PyObject *res;
    PyTypeObject *tp = Py_TYPE(obj);
#if PY_MAJOR_VERSION < 3
    if (unlikely(PyInstance_Check(obj)))
        return with_error ? __Pyx_PyObject_GetAttrStr(obj, attr_name) : __Pyx_PyObject_GetAttrStrNoError(obj, attr_name);
#endif
    res = _PyType_Lookup(tp, attr_name);
    if (likely(res)) {
        descrgetfunc f = Py_TYPE(res)->tp_descr_get;
        if (!f) {
            Py_INCREF(res);
        } else {
            res = f(res, obj, (PyObject *)tp);
        }
    } else if (with_error) {
        PyErr_SetObject(PyExc_AttributeError, attr_name);
    }
    return res;
}
#endif

/* Py3ClassCreate */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStrNoError(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs[3] = {NULL, name, bases};
            ns = __Pyx_PyObject_FastCallDict(prep, pargs+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
            Py_DECREF(prep);
        } else {
            if (unlikely(PyErr_Occurred()))
                return NULL;
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
#if PY_VERSION_HEX >= 0x03030000
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
#else
    CYTHON_MAYBE_UNUSED_VAR(qualname);
#endif
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
#if PY_VERSION_HEX < 0x030600A4 && CYTHON_PEP487_INIT_SUBCLASS
static int __Pyx_SetNamesPEP487(PyObject *type_obj) {
    PyTypeObject *type = (PyTypeObject*) type_obj;
    PyObject *names_to_set, *key, *value, *set_name, *tmp;
    Py_ssize_t i = 0;
#if CYTHON_USE_TYPE_SLOTS
    names_to_set = PyDict_Copy(type->tp_dict);
#else
    {
        PyObject *d = PyObject_GetAttr(type_obj, __pyx_n_s_dict);
        names_to_set = NULL;
        if (likely(d)) {
            PyObject *names_to_set = PyDict_New();
            int ret = likely(names_to_set) ? PyDict_Update(names_to_set, d) : -1;
            Py_DECREF(d);
            if (unlikely(ret < 0))
                Py_CLEAR(names_to_set);
        }
    }
#endif
    if (unlikely(names_to_set == NULL))
        goto bad;
    while (PyDict_Next(names_to_set, &i, &key, &value)) {
        set_name = __Pyx_PyObject_LookupSpecialNoError(value, __pyx_n_s_set_name);
        if (unlikely(set_name != NULL)) {
            tmp = __Pyx_PyObject_Call2Args(set_name, type_obj, key);
            Py_DECREF(set_name);
            if (unlikely(tmp == NULL)) {
                __Pyx_TypeName value_type_name =
                    __Pyx_PyType_GetName(Py_TYPE(value));
                __Pyx_TypeName type_name = __Pyx_PyType_GetName(type);
                PyErr_Format(PyExc_RuntimeError,
#if PY_MAJOR_VERSION >= 3
                    "Error calling __set_name__ on '" __Pyx_FMT_TYPENAME "' instance %R " "in '" __Pyx_FMT_TYPENAME "'",
                    value_type_name, key, type_name);
#else
                    "Error calling __set_name__ on '" __Pyx_FMT_TYPENAME "' instance %.100s in '" __Pyx_FMT_TYPENAME "'",
                    value_type_name,
                    PyString_Check(key) ? PyString_AS_STRING(key) : "?",
                    type_name);
#endif
                goto bad;
            } else {
                Py_DECREF(tmp);
            }
        }
        else if (unlikely(PyErr_Occurred())) {
            goto bad;
        }
    }
    Py_DECREF(names_to_set);
    return 0;
bad:
    Py_XDECREF(names_to_set);
    return -1;
}
static PyObject *__Pyx_InitSubclassPEP487(PyObject *type_obj, PyObject *mkw) {
#if CYTHON_USE_TYPE_SLOTS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyTypeObject *type = (PyTypeObject*) type_obj;
    PyObject *mro = type->tp_mro;
    Py_ssize_t i, nbases;
    if (unlikely(!mro)) goto done;
    (void) &__Pyx_GetBuiltinName;
    Py_INCREF(mro);
    nbases = PyTuple_GET_SIZE(mro);
    assert(PyTuple_GET_ITEM(mro, 0) == type_obj);
    for (i = 1; i < nbases-1; i++) {
        PyObject *base, *dict, *meth;
        base = PyTuple_GET_ITEM(mro, i);
        dict = ((PyTypeObject *)base)->tp_dict;
        meth = __Pyx_PyDict_GetItemStrWithError(dict, __pyx_n_s_init_subclass);
        if (unlikely(meth)) {
            descrgetfunc f = Py_TYPE(meth)->tp_descr_get;
            PyObject *res;
            Py_INCREF(meth);
            if (likely(f)) {
                res = f(meth, NULL, type_obj);
                Py_DECREF(meth);
                if (unlikely(!res)) goto bad;
                meth = res;
            }
            res = __Pyx_PyObject_FastCallDict(meth, NULL, 0, mkw);
            Py_DECREF(meth);
            if (unlikely(!res)) goto bad;
            Py_DECREF(res);
            goto done;
        } else if (unlikely(PyErr_Occurred())) {
            goto bad;
        }
    }
done:
    Py_XDECREF(mro);
    return type_obj;
bad:
    Py_XDECREF(mro);
    Py_DECREF(type_obj);
    return NULL;
#else
    PyObject *super_type, *super, *func, *res;
#if CYTHON_COMPILING_IN_PYPY && !defined(PySuper_Type)
    super_type = __Pyx_GetBuiltinName(__pyx_n_s_super);
#else
    super_type = (PyObject*) &PySuper_Type;
    (void) &__Pyx_GetBuiltinName;
#endif
    super = likely(super_type) ? __Pyx_PyObject_Call2Args(super_type, type_obj, type_obj) : NULL;
#if CYTHON_COMPILING_IN_PYPY && !defined(PySuper_Type)
    Py_XDECREF(super_type);
#endif
    if (unlikely(!super)) {
        Py_CLEAR(type_obj);
        goto done;
    }
    func = __Pyx_PyObject_GetAttrStrNoError(super, __pyx_n_s_init_subclass);
    Py_DECREF(super);
    if (likely(!func)) {
        if (unlikely(PyErr_Occurred()))
            Py_CLEAR(type_obj);
        goto done;
    }
    res = __Pyx_PyObject_FastCallDict(func, NULL, 0, mkw);
    Py_DECREF(func);
    if (unlikely(!res))
        Py_CLEAR(type_obj);
    Py_XDECREF(res);
done:
    return type_obj;
#endif
}
#endif
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result;
    PyObject *owned_metaclass = NULL;
    PyObject *margs[4] = {NULL, name, bases, dict};
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    result = __Pyx_PyObject_FastCallDict(metaclass, margs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET,
#if PY_VERSION_HEX < 0x030600A4
        (metaclass == (PyObject*)&PyType_Type) ? NULL : mkw
#else
        mkw
#endif
    );
    Py_XDECREF(owned_metaclass);
#if PY_VERSION_HEX < 0x030600A4 && CYTHON_PEP487_INIT_SUBCLASS
    if (likely(result) && likely(PyType_Check(result))) {
        if (unlikely(__Pyx_SetNamesPEP487(result) < 0)) {
            Py_CLEAR(result);
        } else {
            result = __Pyx_InitSubclassPEP487(result, mkw);
        }
    }
#else
    (void) &__Pyx_GetBuiltinName;
#endif
    return result;
}

/* PyObjectCallNoArg */
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);
}

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
#if !CYTHON_COMPILING_IN_LIMITED_API
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 PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_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(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}
#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;
        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
    {
        PyObject *compiled = NULL, *result = NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
        compiled = Py_CompileString(
            "out = type(code)(\n"
            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
        if (!compiled) return NULL;
        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
        Py_DECREF(compiled);
        if (!result) PyErr_Print();
        Py_DECREF(result);
        result = PyDict_GetItemString(scratch_dict, "out");
        if (result) Py_INCREF(result);
        return result;
    }
    #else
    return NULL;
    #endif
}
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) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    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;
    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;
    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:
    PyErr_Restore(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 PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        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;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    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_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

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_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 PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } 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 PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        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 *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        if (!is_unsigned) {
            kwds = PyDict_New();
            if (!kwds) goto limited_bad;
            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
        }
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XDECREF(name);
        name = __Pyx_NewRef(__pyx_n_s__28);
    }
    return name;
}
#endif

/* CIntFromPyVerify */
#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 CYTHON_INLINE long __Pyx_PyInt_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 PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    }
#endif
    if (unlikely(!PyLong_Check(x))) {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
    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 {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                case 2:
                    if ((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]));
                        }
                    }
                    break;
                case 3:
                    if ((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]));
                        }
                    }
                    break;
                case 4:
                    if ((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]));
                        }
                    }
                    break;
            }
        }
#endif
#if 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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_SignedDigitCount(x)) {
                case -2:
                    if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((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) - 1 > 2 * PyLong_SHIFT)) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(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)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((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) - 1 > 3 * PyLong_SHIFT)) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(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)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((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) - 1 > 4 * PyLong_SHIFT)) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(long) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
        }
    }
    {
        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);
#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);
            goto raise_neg_overflow;
        } 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:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_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 PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    }
#endif
    if (unlikely(!PyLong_Check(x))) {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
    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 {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                case 2:
                    if ((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]));
                        }
                    }
                    break;
                case 3:
                    if ((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]));
                        }
                    }
                    break;
                case 4:
                    if ((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]));
                        }
                    }
                    break;
            }
        }
#endif
#if 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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_SignedDigitCount(x)) {
                case -2:
                    if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((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) - 1 > 2 * PyLong_SHIFT)) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(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)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((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) - 1 > 3 * PyLong_SHIFT)) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(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)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((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) - 1 > 4 * PyLong_SHIFT)) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(int) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
        }
    }
    {
        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);
#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);
            goto raise_neg_overflow;
        } 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:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    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

/* CheckBinaryVersion */
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
    return Py_Version & ~0xFFUL;
#else
    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;
    }
    return version;
#endif
}
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);
    }
}

/* InitStrings */
#if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}

#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_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#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_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        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_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    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);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (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]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(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]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_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);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


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



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