text: /* Generated by Cython 0.29.13 */
  
  #define PY_SSIZE_T_CLEAN
  #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 < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
      #error Cython requires Python 2.6+ or Python 3.3+.
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  #define CYTHON_ABI "0_29_13"
  #define CYTHON_HEX_VERSION 0x001D0DF0
  #define CYTHON_FUTURE_DIVISION 0
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    #define CYTHON_COMPILING_IN_PYPY 1
    #define CYTHON_COMPILING_IN_PYSTON 0
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    #define CYTHON_USE_TYPE_SLOTS 0
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      #define CYTHON_USE_ASYNC_SLOTS 0
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    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
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    #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
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    #define CYTHON_UNPACK_METHODS 0
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
    #undef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 0
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 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
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    #define CYTHON_COMPILING_IN_CPYTHON 0
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    #define CYTHON_USE_PYLIST_INTERNALS 0
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    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
    #ifndef CYTHON_AVOID_BORROWED_REFS
      #define CYTHON_AVOID_BORROWED_REFS 0
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    #ifndef CYTHON_ASSUME_SAFE_MACROS
      #define CYTHON_ASSUME_SAFE_MACROS 1
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    #ifndef CYTHON_UNPACK_METHODS
      #define CYTHON_UNPACK_METHODS 1
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    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
    #undef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 0
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 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
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    #define CYTHON_COMPILING_IN_PYPY 0
    #define CYTHON_COMPILING_IN_PYSTON 0
    #define CYTHON_COMPILING_IN_CPYTHON 1
    #ifndef CYTHON_USE_TYPE_SLOTS
      #define CYTHON_USE_TYPE_SLOTS 1
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      #define CYTHON_USE_PYTYPE_LOOKUP 0
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      #define CYTHON_USE_PYTYPE_LOOKUP 1
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    #if PY_VERSION_HEX < 0x02070000
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      #define CYTHON_USE_PYLONG_INTERNALS 0
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      #define CYTHON_USE_UNICODE_WRITER 1
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    #ifndef CYTHON_ASSUME_SAFE_MACROS
      #define CYTHON_ASSUME_SAFE_MACROS 1
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    #ifndef CYTHON_UNPACK_METHODS
      #define CYTHON_UNPACK_METHODS 1
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    #ifndef CYTHON_FAST_THREAD_STATE
      #define CYTHON_FAST_THREAD_STATE 1
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    #ifndef CYTHON_FAST_PYCALL
      #define CYTHON_FAST_PYCALL 1
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    #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
      #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
    #endif
    #ifndef CYTHON_USE_TP_FINALIZE
      #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
    #endif
    #ifndef CYTHON_USE_DICT_VERSIONS
      #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
    #endif
    #ifndef CYTHON_USE_EXC_INFO_STACK
      #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
    #endif
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  #if !defined(CYTHON_FAST_PYCCALL)
  #define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
  #endif
  #if CYTHON_USE_PYLONG_INTERNALS
    #include "longintrepr.h"
    #undef SHIFT
    #undef BASE
    #undef MASK
    #ifdef SIZEOF_VOID_P
      enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
    #endif
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    #define __has_attribute(x) 0
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  #ifndef __has_cpp_attribute
    #define __has_cpp_attribute(x) 0
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  #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(__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
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  #ifndef CYTHON_MAYBE_UNUSED_VAR
  #  if defined(__cplusplus)
       template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
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  #ifndef CYTHON_NCP_UNUSED
  # if CYTHON_COMPILING_IN_CPYTHON
  #  define CYTHON_NCP_UNUSED
  # else
  #  define CYTHON_NCP_UNUSED CYTHON_UNUSED
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  #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 int      uint32_t;
          #else
             typedef unsigned __int8   uint8_t;
             typedef unsigned __int32  uint32_t;
          #endif
      #endif
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  #ifndef CYTHON_FALLTHROUGH
    #if defined(__cplusplus) && __cplusplus >= 201103L
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #elif __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
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    #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
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  #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
  
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
    #define Py_OptimizeFlag 0
  #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_PyCode_New(a, 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)
    #define __Pyx_DefaultClassType PyClass_Type
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    #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #else
    #define __Pyx_PyCode_New(a, 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
    #define __Pyx_DefaultClassType PyType_Type
  #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 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
    #define __Pyx_PyCFunctionFast _PyCFunctionFast
    #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
  #if CYTHON_FAST_PYCCALL
  #define __Pyx_PyFastCFunction_Check(func)\
      ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
  #else
  #define __Pyx_PyFastCFunction_Check(func) 0
  #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_CPYTHON && PY_VERSION_HEX < 0x030400A1
    #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
    #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
    #define PyMem_RawFree(p)             PyMem_Free(p)
  #endif
  #if CYTHON_COMPILING_IN_PYSTON
    #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
  #else
    #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
  #endif
  #if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
    #define __Pyx_PyThreadState_Current PyThreadState_GET()
  #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
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  #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 CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
  #define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
  #else
  #define __Pyx_PyDict_NewPresized(n)  PyDict_New()
  #endif
  #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 >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
  #define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
  #else
  #define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
  #endif
  #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
    #define CYTHON_PEP393_ENABLED 1
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
    #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)         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, ch)
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #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) ? 65535 : 1114111)
    #define __Pyx_PyUnicode_KIND(u)         (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] = 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 && !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #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)
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  #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
    #define PyObject_Unicode             PyObject_Str
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  static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
  #endif
  
  /* PyCFunctionFastCall.proto */
  #if CYTHON_FAST_PYCCALL
  static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
  #else
  #define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
  #endif
  
  /* PyFunctionFastCall.proto */
  #if CYTHON_FAST_PYCALL
  #define __Pyx_PyFunction_FastCall(func, args, nargs)\
      __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
  #if 1 || PY_VERSION_HEX < 0x030600B1
  static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
  #else
  #define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, 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
    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
  
  /* 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
  
  /* PyObjectCall2Args.proto */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
  
  /* PyObjectCallMethO.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
  #endif
  
  /* PyObjectCallOneArg.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
  
  /* PyIntBinop.proto */
  #if !CYTHON_COMPILING_IN_PYPY
  static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
  #else
  #define __Pyx_PyInt_SubtractObjC(op1, op2, intval, inplace, zerodivision_check)\
      (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
  #endif
  
  /* PyObjectCallNoArg.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
  #else
  #define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
  #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);
  
  /* GetTopmostException.proto */
  #if CYTHON_USE_EXC_INFO_STACK
  static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
  #endif
  
  /* PyThreadStateGet.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
  #define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
  #define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
  #else
  #define __Pyx_PyThreadState_declare
  #define __Pyx_PyThreadState_assign
  #define __Pyx_PyErr_Occurred()  PyErr_Occurred()
  #endif
  
  /* SaveResetException.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
  #define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
  #else
  #define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
  #define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
  #endif
  
  /* GetException.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
  static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
  #else
  static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
  #endif
  
  /* 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);
  
  /* RaiseDoubleKeywords.proto */
  static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
  
  /* ParseKeywords.proto */
  static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
      PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
      const char* function_name);
  
  /* PyObjectLookupSpecial.proto */
  #if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PyObject* __Pyx_PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name) {
      PyObject *res;
      PyTypeObject *tp = Py_TYPE(obj);
  #if PY_MAJOR_VERSION < 3
      if (unlikely(PyInstance_Check(obj)))
          return __Pyx_PyObject_GetAttrStr(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 {
          PyErr_SetObject(PyExc_AttributeError, attr_name);
      }
      return res;
  }
  #else
  #define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
  #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
  #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
  
  /* RaiseTooManyValuesToUnpack.proto */
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
  
  /* RaiseNeedMoreValuesToUnpack.proto */
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
  
  /* IterFinish.proto */
  static CYTHON_INLINE int __Pyx_IterFinish(void);
  
  /* UnpackItemEndCheck.proto */
  static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);
  
  /* 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
  
  /* 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));
  }
  
  /* 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);
  
  /* StrEquals.proto */
  #if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
  #else
  #define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
  #endif
  
  /* None.proto */
  static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);
  
  /* FetchCommonType.proto */
  static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
  
  /* CythonFunction.proto */
  #define __Pyx_CyFunction_USED 1
  #define __Pyx_CYFUNCTION_STATICMETHOD  0x01
  #define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
  #define __Pyx_CYFUNCTION_CCLASS        0x04
  #define __Pyx_CyFunction_GetClosure(f)\
      (((__pyx_CyFunctionObject *) (f))->func_closure)
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_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 {
      PyCFunctionObject func;
  #if PY_VERSION_HEX < 0x030500A0
      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;
      PyObject *func_classobj;
      void *defaults;
      int defaults_pyobjects;
      int flags;
      PyObject *defaults_tuple;
      PyObject *defaults_kwdict;
      PyObject *(*defaults_getter)(PyObject *);
      PyObject *func_annotations;
  } __pyx_CyFunctionObject;
  static PyTypeObject *__pyx_CyFunctionType = 0;
  #define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
  #define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
      __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
  static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                        int flags, PyObject* qualname,
                                        PyObject *self,
                                        PyObject *module, PyObject *globals,
                                        PyObject* code);
  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(void);
  
  /* None.proto */
  static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);
  
  /* 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
  
  /* 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);
          PyList_SET_ITEM(list, len, x);
          Py_SIZE(list) = len+1;
          return 0;
      }
      return PyList_Append(list, x);
  }
  #else
  #define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
  #endif
  
  /* SliceObject.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
          PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
          PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
          int has_cstart, int has_cstop, int wraparound);
  
  /* SliceTupleAndList.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(PyObject* src, Py_ssize_t start, Py_ssize_t stop);
  static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(PyObject* src, Py_ssize_t start, Py_ssize_t stop);
  #else
  #define __Pyx_PyList_GetSlice(seq, start, stop)   PySequence_GetSlice(seq, start, stop)
  #define __Pyx_PyTuple_GetSlice(seq, start, stop)  PySequence_GetSlice(seq, start, stop)
  #endif
  
  /* py_abs.proto */
  #if CYTHON_USE_PYLONG_INTERNALS
  static PyObject *__Pyx_PyLong_AbsNeg(PyObject *num);
  #define __Pyx_PyNumber_Absolute(x)\
      ((likely(PyLong_CheckExact(x))) ?\
           (likely(Py_SIZE(x) >= 0) ? (Py_INCREF(x), (x)) : __Pyx_PyLong_AbsNeg(x)) :\
           PyNumber_Absolute(x))
  #else
  #define __Pyx_PyNumber_Absolute(x)  PyNumber_Absolute(x)
  #endif
  
  /* PyDictContains.proto */
  static CYTHON_INLINE int __Pyx_PyDict_ContainsTF(PyObject* item, PyObject* dict, int eq) {
      int result = PyDict_Contains(dict, item);
      return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
  }
  
  /* 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);
  
  /* append.proto */
  static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);
  
  /* DictGetItem.proto */
  #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
  static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
  #define __Pyx_PyObject_Dict_GetItem(obj, name)\
      (likely(PyDict_CheckExact(obj)) ?\
       __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
  #else
  #define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
  #define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
  #endif
  
  /* PyObjectCallMethod0.proto */
  static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);
  
  /* RaiseNoneIterError.proto */
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
  
  /* UnpackTupleError.proto */
  static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);
  
  /* UnpackTuple2.proto */
  #define __Pyx_unpack_tuple2(tuple, value1, value2, is_tuple, has_known_size, decref_tuple)\
      (likely(is_tuple || PyTuple_Check(tuple)) ?\
          (likely(has_known_size || PyTuple_GET_SIZE(tuple) == 2) ?\
              __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple) :\
              (__Pyx_UnpackTupleError(tuple, 2), -1)) :\
          __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple))
  static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
      PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
  static int __Pyx_unpack_tuple2_generic(
      PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);
  
  /* dict_iter.proto */
  static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                     Py_ssize_t* p_orig_length, int* p_is_dict);
  static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                                PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);
  
  /* ListCompAppend.proto */
  #if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
  static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
      PyListObject* L = (PyListObject*) list;
      Py_ssize_t len = Py_SIZE(list);
      if (likely(L->allocated > len)) {
          Py_INCREF(x);
          PyList_SET_ITEM(list, len, x);
          Py_SIZE(list) = len+1;
          return 0;
      }
      return PyList_Append(list, x);
  }
  #else
  #define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
  #endif
  
  /* 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
  #if CYTHON_COMPILING_IN_CPYTHON
      #if PY_MAJOR_VERSION < 3
      #define __Pyx_PyBytes_Join _PyString_Join
      #else
      #define __Pyx_PyBytes_Join _PyBytes_Join
      #endif
  #else
  static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values);
  #endif
  
  /* PyIntCompare.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);
  
  /* PyObject_GenericGetAttrNoDict.proto */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
  #else
  #define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
  #endif
  
  /* Import.proto */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
  
  /* 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 */
  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);
  
  /* AddTraceback.proto */
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
  
  /* 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)
  static CYTHON_INLINE int __Pyx_IsSubtype(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_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_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
  
  /* CheckBinaryVersion.proto */
  static int __Pyx_check_binary_version(void);
  
  /* InitStrings.proto */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
  
  
  /* Module declarations from 'extract_discordant_c' */
  static PyTypeObject *__pyx_ptype_20extract_discordant_c___pyx_scope_struct__main = 0;
  #define __Pyx_MODULE_NAME "extract_discordant_c"
  extern int __pyx_module_is_main_extract_discordant_c;
  int __pyx_module_is_main_extract_discordant_c = 0;
  
  /* Implementation of 'extract_discordant_c' */
  static PyObject *__pyx_builtin_exit;
  static PyObject *__pyx_builtin_open;
  static PyObject *__pyx_builtin_range;
  static PyObject *__pyx_builtin_bin;
  static const char __pyx_k_[] = "\n";
  static const char __pyx_k_0[] = "0";
  static const char __pyx_k_1[] = "1";
  static const char __pyx_k_2[] = "/2";
  static const char __pyx_k_A[] = "A";
  static const char __pyx_k_C[] = "C";
  static const char __pyx_k_D[] = "D";
  static const char __pyx_k_G[] = "G";
  static const char __pyx_k_H[] = "H";
  static const char __pyx_k_I[] = "I";
  static const char __pyx_k_L[] = "L";
  static const char __pyx_k_M[] = "M";
  static const char __pyx_k_N[] = "N";
  static const char __pyx_k_P[] = "P";
  static const char __pyx_k_R[] = "R";
  static const char __pyx_k_S[] = "S";
  static const char __pyx_k_T[] = "T";
  static const char __pyx_k_X[] = "X";
  static const char __pyx_k_Y[] = "Y";
  static const char __pyx_k_a[] = "a";
  static const char __pyx_k_b[] = "b";
  static const char __pyx_k_c[] = "c";
  static const char __pyx_k_d[] = "-@ %d";
  static const char __pyx_k_h[] = "h";
  static const char __pyx_k_i[] = "i";
  static const char __pyx_k_l[] = "l";
  static const char __pyx_k_n[] = "n";
  static const char __pyx_k_p[] = "p";
  static const char __pyx_k_w[] = "w";
  static const char __pyx_k_x[] = "x";
  static const char __pyx_k_00[] = "00";
  static const char __pyx_k_NA[] = "NA";
  static const char __pyx_k__6[] = "";
  static const char __pyx_k_fa[] = "fa";
  static const char __pyx_k_ls[] = "ls";
  static const char __pyx_k_nt[] = "nt";
  static const char __pyx_k_os[] = "os";
  static const char __pyx_k_pA[] = "pA";
  static const char __pyx_k_rb[] = "rb";
  static const char __pyx_k_rc[] = "rc";
  static const char __pyx_k_ss[] = "ss";
  static const char __pyx_k_xs[] = "xs";
  static const char __pyx_k_1_2[] = "/1";
  static const char __pyx_k_X_n[] = "X_n";
  static const char __pyx_k_Y_n[] = "Y_n";
  static const char __pyx_k__20[] = "\t";
  static const char __pyx_k__21[] = "+";
  static const char __pyx_k__22[] = "-";
  static const char __pyx_k__25[] = ";";
  static const char __pyx_k__27[] = ",";
  static const char __pyx_k__33[] = "=";
  static const char __pyx_k__42[] = "_";
  static const char __pyx_k_bin[] = "bin";
  static const char __pyx_k_chr[] = "chr";
  static const char __pyx_k_d_2[] = "d";
  static const char __pyx_k_d_d[] = "%d-%d";
  static const char __pyx_k_dir[] = "dir";
  static const char __pyx_k_end[] = "end";
  static const char __pyx_k_ins[] = "ins";
  static const char __pyx_k_isp[] = "isp";
  static const char __pyx_k_l_e[] = "l_e";
  static const char __pyx_k_l_s[] = "l_s";
  static const char __pyx_k_log[] = "log";
  static const char __pyx_k_lsp[] = "lsp";
  static const char __pyx_k_pos[] = "pos";
  static const char __pyx_k_r_e[] = "r_e";
  static const char __pyx_k_r_s[] = "r_s";
  static const char __pyx_k_rep[] = "rep";
  static const char __pyx_k_res[] = "res";
  static const char __pyx_k_s_s[] = ">%s;\n%s\n";
  static const char __pyx_k_saz[] = "saz";
  static const char __pyx_k_seq[] = "seq";
  static const char __pyx_k_sys[] = "sys";
  static const char __pyx_k_tmp[] = "tmp";
  static const char __pyx_k_txt[] = ".txt";
  static const char __pyx_k_xaz[] = "xaz";
  static const char __pyx_k_ATGC[] = "ATGC";
  static const char __pyx_k_SA_Z[] = "SA:Z:";
  static const char __pyx_k_TACG[] = "TACG";
  static const char __pyx_k_XA_Z[] = "XA:Z:";
  static const char __pyx_k_args[] = "args";
  static const char __pyx_k_ceil[] = "ceil";
  static const char __pyx_k_chrX[] = "chrX";
  static const char __pyx_k_chrY[] = "chrY";
  static const char __pyx_k_exit[] = "exit";
  static const char __pyx_k_f_pA[] = "f_pA";
  static const char __pyx_k_flag[] = "flag";
  static const char __pyx_k_fseq[] = "fseq";
  static const char __pyx_k_info[] = "info";
  static const char __pyx_k_ispl[] = "ispl";
  static const char __pyx_k_join[] = "join";
  static const char __pyx_k_left[] = "left";
  static const char __pyx_k_line[] = "line";
  static const char __pyx_k_main[] = "__main__";
  static const char __pyx_k_math[] = "math";
  static const char __pyx_k_move[] = "move";
  static const char __pyx_k_name[] = "__name__";
  static const char __pyx_k_open[] = "open";
  static const char __pyx_k_pA_n[] = "pA_n";
  static const char __pyx_k_rseq[] = "rseq";
  static const char __pyx_k_test[] = "__test__";
  static const char __pyx_k_0_txt[] = "0.txt";
  static const char __pyx_k_cigar[] = "cigar";
  static const char __pyx_k_close[] = "close";
  static const char __pyx_k_count[] = "count";
  static const char __pyx_k_debug[] = "debug";
  static const char __pyx_k_elems[] = "elems";
  static const char __pyx_k_enter[] = "__enter__";
  static const char __pyx_k_error[] = "error";
  static const char __pyx_k_f_abs[] = "f_abs";
  static const char __pyx_k_flush[] = "flush";
  static const char __pyx_k_judge[] = "judge";
  static const char __pyx_k_l_len[] = "l_len";
  static const char __pyx_k_l_pos[] = "l_pos";
  static const char __pyx_k_nonXY[] = "nonXY";
  static const char __pyx_k_pysam[] = "pysam";
  static const char __pyx_k_r_len[] = "r_len";
  static const char __pyx_k_r_pos[] = "r_pos";
  static const char __pyx_k_range[] = "range";
  static const char __pyx_k_right[] = "right";
  static const char __pyx_k_s_s_s[] = ">%s%s\n%s\n";
  static const char __pyx_k_seq_c[] = "seq_c";
  static const char __pyx_k_split[] = "split";
  static const char __pyx_k_start[] = "start";
  static const char __pyx_k_strip[] = "strip";
  static const char __pyx_k_upper[] = "upper";
  static const char __pyx_k_write[] = "write";
  static const char __pyx_k_Acount[] = "Acount";
  static const char __pyx_k_absent[] = "absent";
  static const char __pyx_k_append[] = "append";
  static const char __pyx_k_do_abs[] = "do_abs";
  static const char __pyx_k_do_ins[] = "do_ins";
  static const char __pyx_k_exit_2[] = "__exit__";
  static const char __pyx_k_fileno[] = "fileno";
  static const char __pyx_k_hybrid[] = "hybrid";
  static const char __pyx_k_import[] = "__import__";
  static const char __pyx_k_infile[] = "infile";
  static const char __pyx_k_islice[] = "islice";
  static const char __pyx_k_length[] = "length";
  static const char __pyx_k_logger[] = "logger";
  static const char __pyx_k_main_2[] = "main";
  static const char __pyx_k_params[] = "params";
  static const char __pyx_k_remove[] = "remove";
  static const char __pyx_k_retain[] = "retain";
  static const char __pyx_k_seqlen[] = "seqlen";
  static const char __pyx_k_shutil[] = "shutil";
  static const char __pyx_k_strand[] = "strand";
  static const char __pyx_k_string[] = "string";
  static const char __pyx_k_xcigar[] = "xcigar";
  static const char __pyx_k_abs_txt[] = "abs_txt";
  static const char __pyx_k_nonXY_n[] = "nonXY_n";
  static const char __pyx_k_outfile[] = "outfile";
  static const char __pyx_k_ref_len[] = "ref_len";
  static const char __pyx_k_replace[] = "replace";
  static const char __pyx_k_s_d_d_s[] = "%s:%d-%d/%s";
  static const char __pyx_k_started[] = "started";
  static const char __pyx_k_strands[] = "strands";
  static const char __pyx_k_absent_n[] = "absent_n";
  static const char __pyx_k_chimeric[] = "chimeric";
  static const char __pyx_k_chrX_set[] = "chrX_set";
  static const char __pyx_k_chrY_set[] = "chrY_set";
  static const char __pyx_k_cigar_op[] = "cigar_op";
  static const char __pyx_k_clip_len[] = "clip_len";
  static const char __pyx_k_clip_seq[] = "clip_seq";
  static const char __pyx_k_d_mapped[] = "d_mapped";
  static const char __pyx_k_deletion[] = "deletion";
  static const char __pyx_k_f_mapped[] = "f_mapped";
  static const char __pyx_k_flagstat[] = "flagstat";
  static const char __pyx_k_hybrid_n[] = "hybrid_n";
  static const char __pyx_k_interval[] = "interval";
  static const char __pyx_k_only_abs[] = "only_abs";
  static const char __pyx_k_only_ins[] = "only_ins";
  static const char __pyx_k_outfiles[] = "outfiles";
  static const char __pyx_k_read_seq[] = "read_seq";
  static const char __pyx_k_readname[] = "readname";
  static const char __pyx_k_tostring[] = "tostring";
  static const char __pyx_k_unmapped[] = "unmapped";
  static const char __pyx_k_f_distant[] = "f_distant";
  static const char __pyx_k_fdatasync[] = "fdatasync";
  static const char __pyx_k_file_base[] = "file_base";
  static const char __pyx_k_filenames[] = "filenames";
  static const char __pyx_k_itertools[] = "itertools";
  static const char __pyx_k_maketrans[] = "maketrans";
  static const char __pyx_k_mapped_fa[] = "mapped_fa";
  static const char __pyx_k_summarize[] = "summarize";
  static const char __pyx_k_traceback[] = "traceback";
  static const char __pyx_k_translate[] = "translate";
  static const char __pyx_k_L_clip_len[] = "L_clip_len";
  static const char __pyx_k_R_clip_len[] = "R_clip_len";
  static const char __pyx_k_blast1_res[] = "blast1_res";
  static const char __pyx_k_breakpoint[] = "breakpoint";
  static const char __pyx_k_chimeric_n[] = "chimeric_n";
  static const char __pyx_k_complement[] = "complement";
  static const char __pyx_k_count_clip[] = "count_clip";
  static const char __pyx_k_f_overhang[] = "f_overhang";
  static const char __pyx_k_f_unmapped[] = "f_unmapped";
  static const char __pyx_k_format_exc[] = "format_exc";
  static const char __pyx_k_mapped_seq[] = "mapped_seq";
  static const char __pyx_k_out_mapped[] = "out_mapped";
  static const char __pyx_k_unmapped_n[] = "unmapped_n";
  static const char __pyx_k_copyfileobj[] = "copyfileobj";
  static const char __pyx_k_distant_txt[] = "distant_txt";
  static const char __pyx_k_max_TSD_len[] = "max_TSD_len";
  static const char __pyx_k_overhang_fa[] = "overhang_fa";
  static const char __pyx_k_overhang_pA[] = "overhang_pA";
  static const char __pyx_k_unmapped_fa[] = "unmapped_fa";
  static const char __pyx_k_abs_max_dist[] = "abs_max_dist";
  static const char __pyx_k_abs_min_dist[] = "abs_min_dist";
  static const char __pyx_k_calc_ref_len[] = "calc_ref_len";
  static const char __pyx_k_check_repeat[] = "check_repeat";
  static const char __pyx_k_out_overhang[] = "out_overhang";
  static const char __pyx_k_AlignmentFile[] = "AlignmentFile";
  static const char __pyx_k_calc_read_len[] = "calc_read_len";
  static const char __pyx_k_cigar_reshape[] = "cigar_reshape";
  static const char __pyx_k_main_chrs_set[] = "main_chrs_set";
  static const char __pyx_k_s_d_d_s_s_s_s[] = "%s:%d-%d/%s/%s%s/%s";
  static const char __pyx_k_concat_for_abs[] = "concat_for_abs";
  static const char __pyx_k_concat_for_ins[] = "concat_for_ins";
  static const char __pyx_k_first_or_second[] = "first_or_second";
  static const char __pyx_k_s_d_d_s_s_s_s_d[] = "%s:%d-%d/%s/%s%s/%s\t%d\n";
  static const char __pyx_k_cigar_ref_retain[] = "cigar_ref_retain";
  static const char __pyx_k_cigar_read_retain[] = "cigar_read_retain";
  static const char __pyx_k_read_pair_gap_len[] = "read_pair_gap_len";
  static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
  static const char __pyx_k_reference_filename[] = "reference_filename";
  static const char __pyx_k_extract_discordant_c[] = "extract_discordant_c";
  static const char __pyx_k_main_locals_complement[] = "main.<locals>.complement";
  static const char __pyx_k_main_locals_count_clip[] = "main.<locals>.count_clip";
  static const char __pyx_k_extract_discordant_c_pyx[] = "extract_discordant_c.pyx";
  static const char __pyx_k_main_locals_calc_ref_len[] = "main.<locals>.calc_ref_len";
  static const char __pyx_k_main_locals_check_repeat[] = "main.<locals>.check_repeat";
  static const char __pyx_k_polyA_overhang_threshold[] = "polyA_overhang_threshold";
  static const char __pyx_k_discordant_reads_clip_len[] = "discordant_reads_clip_len";
  static const char __pyx_k_main_locals_calc_read_len[] = "main.<locals>.calc_read_len";
  static const char __pyx_k_s_s_s_d_d_s_d_d_s_d_d_s_s[] = "%s%s\t%s\t%d\t%d\t%s:%d-%d\t%s:%d-%d\t%s\t%s\n";
  static const char __pyx_k_Copyright_c_2020_RIKEN_All_Righ[] = "\nCopyright (c) 2020 RIKEN\nAll Rights Reserved\nSee file LICENSE for details.\n";
  static const char __pyx_k_Screening_results_nonXY_reads_d[] = "Screening results:nonXY_reads=%d,X_reads=%d,Y_reads=%s,chimeric_reads=%d,hybrid_reads=%d,pA_reads=%d,unmapped_reads=%d,absent_reads=%d";
  static const char __pyx_k_determine_breakpoint_from_cigar[] = "determine_breakpoint_from_cigar";
  static const char __pyx_k_main_locals_determine_breakpoint[] = "main.<locals>.determine_breakpoint_from_cigar";
  static const char __pyx_k_mapped_region_low_complex_thresh[] = "mapped_region_low_complex_threshold";
  static PyObject *__pyx_kp_s_;
  static PyObject *__pyx_kp_s_0;
  static PyObject *__pyx_kp_s_00;
  static PyObject *__pyx_kp_s_0_txt;
  static PyObject *__pyx_kp_s_1;
  static PyObject *__pyx_kp_s_1_2;
  static PyObject *__pyx_kp_s_2;
  static PyObject *__pyx_n_s_A;
  static PyObject *__pyx_n_s_ATGC;
  static PyObject *__pyx_n_s_Acount;
  static PyObject *__pyx_n_s_AlignmentFile;
  static PyObject *__pyx_n_s_C;
  static PyObject *__pyx_n_s_D;
  static PyObject *__pyx_n_s_G;
  static PyObject *__pyx_n_s_H;
  static PyObject *__pyx_n_s_I;
  static PyObject *__pyx_n_s_L;
  static PyObject *__pyx_n_s_L_clip_len;
  static PyObject *__pyx_n_s_M;
  static PyObject *__pyx_n_s_N;
  static PyObject *__pyx_n_s_NA;
  static PyObject *__pyx_n_s_P;
  static PyObject *__pyx_n_s_R;
  static PyObject *__pyx_n_s_R_clip_len;
  static PyObject *__pyx_n_s_S;
  static PyObject *__pyx_kp_s_SA_Z;
  static PyObject *__pyx_kp_s_Screening_results_nonXY_reads_d;
  static PyObject *__pyx_n_s_T;
  static PyObject *__pyx_n_s_TACG;
  static PyObject *__pyx_n_s_X;
  static PyObject *__pyx_kp_s_XA_Z;
  static PyObject *__pyx_n_s_X_n;
  static PyObject *__pyx_n_s_Y;
  static PyObject *__pyx_n_s_Y_n;
  static PyObject *__pyx_kp_s__20;
  static PyObject *__pyx_kp_s__21;
  static PyObject *__pyx_kp_s__22;
  static PyObject *__pyx_kp_s__25;
  static PyObject *__pyx_kp_s__27;
  static PyObject *__pyx_kp_s__33;
  static PyObject *__pyx_n_s__42;
  static PyObject *__pyx_kp_s__6;
  static PyObject *__pyx_n_s_a;
  static PyObject *__pyx_n_s_abs_max_dist;
  static PyObject *__pyx_n_s_abs_min_dist;
  static PyObject *__pyx_n_s_abs_txt;
  static PyObject *__pyx_n_s_absent;
  static PyObject *__pyx_n_s_absent_n;
  static PyObject *__pyx_n_s_append;
  static PyObject *__pyx_n_s_args;
  static PyObject *__pyx_n_s_b;
  static PyObject *__pyx_n_s_bin;
  static PyObject *__pyx_n_s_blast1_res;
  static PyObject *__pyx_n_s_breakpoint;
  static PyObject *__pyx_n_s_c;
  static PyObject *__pyx_n_s_calc_read_len;
  static PyObject *__pyx_n_s_calc_ref_len;
  static PyObject *__pyx_n_s_ceil;
  static PyObject *__pyx_n_s_check_repeat;
  static PyObject *__pyx_n_s_chimeric;
  static PyObject *__pyx_n_s_chimeric_n;
  static PyObject *__pyx_n_s_chr;
  static PyObject *__pyx_n_s_chrX;
  static PyObject *__pyx_n_s_chrX_set;
  static PyObject *__pyx_n_s_chrY;
  static PyObject *__pyx_n_s_chrY_set;
  static PyObject *__pyx_n_s_cigar;
  static PyObject *__pyx_n_s_cigar_op;
  static PyObject *__pyx_n_s_cigar_read_retain;
  static PyObject *__pyx_n_s_cigar_ref_retain;
  static PyObject *__pyx_n_s_cigar_reshape;
  static PyObject *__pyx_n_s_cline_in_traceback;
  static PyObject *__pyx_n_s_clip_len;
  static PyObject *__pyx_n_s_clip_seq;
  static PyObject *__pyx_n_s_close;
  static PyObject *__pyx_n_s_complement;
  static PyObject *__pyx_n_s_concat_for_abs;
  static PyObject *__pyx_n_s_concat_for_ins;
  static PyObject *__pyx_n_s_copyfileobj;
  static PyObject *__pyx_n_s_count;
  static PyObject *__pyx_n_s_count_clip;
  static PyObject *__pyx_kp_s_d;
  static PyObject *__pyx_n_s_d_2;
  static PyObject *__pyx_kp_s_d_d;
  static PyObject *__pyx_n_s_d_mapped;
  static PyObject *__pyx_n_s_debug;
  static PyObject *__pyx_n_s_deletion;
  static PyObject *__pyx_n_s_determine_breakpoint_from_cigar;
  static PyObject *__pyx_n_s_dir;
  static PyObject *__pyx_n_s_discordant_reads_clip_len;
  static PyObject *__pyx_n_s_distant_txt;
  static PyObject *__pyx_n_s_do_abs;
  static PyObject *__pyx_n_s_do_ins;
  static PyObject *__pyx_n_s_elems;
  static PyObject *__pyx_n_s_end;
  static PyObject *__pyx_n_s_enter;
  static PyObject *__pyx_n_s_error;
  static PyObject *__pyx_n_s_exit;
  static PyObject *__pyx_n_s_exit_2;
  static PyObject *__pyx_n_s_extract_discordant_c;
  static PyObject *__pyx_kp_s_extract_discordant_c_pyx;
  static PyObject *__pyx_n_s_f_abs;
  static PyObject *__pyx_n_s_f_distant;
  static PyObject *__pyx_n_s_f_mapped;
  static PyObject *__pyx_n_s_f_overhang;
  static PyObject *__pyx_n_s_f_pA;
  static PyObject *__pyx_n_s_f_unmapped;
  static PyObject *__pyx_n_s_fa;
  static PyObject *__pyx_n_s_fdatasync;
  static PyObject *__pyx_n_s_file_base;
  static PyObject *__pyx_n_s_filenames;
  static PyObject *__pyx_n_s_fileno;
  static PyObject *__pyx_n_s_first_or_second;
  static PyObject *__pyx_n_s_flag;
  static PyObject *__pyx_n_s_flagstat;
  static PyObject *__pyx_n_s_flush;
  static PyObject *__pyx_n_s_format_exc;
  static PyObject *__pyx_n_s_fseq;
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  #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_subtract(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;
          double a = PyFloat_AS_DOUBLE(op1);
              double result;
              PyFPE_START_PROTECT("subtract", return NULL)
              result = ((double)a) - (double)b;
              PyFPE_END_PROTECT(result)
              return PyFloat_FromDouble(result);
      }
      return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
  }
  #endif
  
  /* PyObjectCallNoArg */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
  #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(func)) {
          return __Pyx_PyFunction_FastCall(func, NULL, 0);
      }
  #endif
  #ifdef __Pyx_CyFunction_USED
      if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
  #else
      if (likely(PyCFunction_Check(func)))
  #endif
      {
          if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
              return __Pyx_PyObject_CallMethO(func, NULL);
          }
      }
      return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
  }
  #endif
  
  /* GetItemInt */
  static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
      PyObject *r;
      if (!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 {
          PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
          if (likely(m && m->sq_item)) {
              if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                  Py_ssize_t l = m->sq_length(o);
                  if (likely(l >= 0)) {
                      i += l;
                  } else {
                      if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                          return NULL;
                      PyErr_Clear();
                  }
              }
              return m->sq_item(o, i);
          }
      }
  #else
      if (is_list || PySequence_Check(o)) {
          return PySequence_GetItem(o, i);
      }
  #endif
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  }
  
  /* GetTopmostException */
  #if CYTHON_USE_EXC_INFO_STACK
  static _PyErr_StackItem *
  __Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
  {
      _PyErr_StackItem *exc_info = tstate->exc_info;
      while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
             exc_info->previous_item != NULL)
      {
          exc_info = exc_info->previous_item;
      }
      return exc_info;
  }
  #endif
  
  /* SaveResetException */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
      *type = exc_info->exc_type;
      *value = exc_info->exc_value;
      *tb = exc_info->exc_traceback;
      #else
      *type = tstate->exc_type;
      *value = tstate->exc_value;
      *tb = tstate->exc_traceback;
      #endif
      Py_XINCREF(*type);
      Py_XINCREF(*value);
      Py_XINCREF(*tb);
  }
  static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = tstate->exc_info;
      tmp_type = exc_info->exc_type;
      tmp_value = exc_info->exc_value;
      tmp_tb = exc_info->exc_traceback;
      exc_info->exc_type = type;
      exc_info->exc_value = value;
      exc_info->exc_traceback = tb;
      #else
      tmp_type = tstate->exc_type;
      tmp_value = tstate->exc_value;
      tmp_tb = tstate->exc_traceback;
      tstate->exc_type = type;
      tstate->exc_value = value;
      tstate->exc_traceback = tb;
      #endif
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  }
  #endif
  
  /* GetException */
  #if CYTHON_FAST_THREAD_STATE
  static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
  #else
  static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
  #endif
  {
      PyObject *local_type, *local_value, *local_tb;
  #if CYTHON_FAST_THREAD_STATE
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      local_type = tstate->curexc_type;
      local_value = tstate->curexc_value;
      local_tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  #else
      PyErr_Fetch(&local_type, &local_value, &local_tb);
  #endif
      PyErr_NormalizeException(&local_type, &local_value, &local_tb);
  #if CYTHON_FAST_THREAD_STATE
      if (unlikely(tstate->curexc_type))
  #else
      if (unlikely(PyErr_Occurred()))
  #endif
          goto bad;
      #if PY_MAJOR_VERSION >= 3
      if (local_tb) {
          if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
              goto bad;
      }
      #endif
      Py_XINCREF(local_tb);
      Py_XINCREF(local_type);
      Py_XINCREF(local_value);
      *type = local_type;
      *value = local_value;
      *tb = local_tb;
  #if CYTHON_FAST_THREAD_STATE
      #if CYTHON_USE_EXC_INFO_STACK
      {
          _PyErr_StackItem *exc_info = tstate->exc_info;
          tmp_type = exc_info->exc_type;
          tmp_value = exc_info->exc_value;
          tmp_tb = exc_info->exc_traceback;
          exc_info->exc_type = local_type;
          exc_info->exc_value = local_value;
          exc_info->exc_traceback = local_tb;
      }
      #else
      tmp_type = tstate->exc_type;
      tmp_value = tstate->exc_value;
      tmp_tb = tstate->exc_traceback;
      tstate->exc_type = local_type;
      tstate->exc_value = local_value;
      tstate->exc_traceback = local_tb;
      #endif
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  #else
      PyErr_SetExcInfo(local_type, local_value, local_tb);
  #endif
      return 0;
  bad:
      *type = 0;
      *value = 0;
      *tb = 0;
      Py_XDECREF(local_type);
      Py_XDECREF(local_value);
      Py_XDECREF(local_tb);
      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);
  }
  
  /* 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 **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;
      while (PyDict_Next(kwds, &pos, &key, &value)) {
          name = first_kw_arg;
          while (*name && (**name != key)) name++;
          if (*name) {
              values[name-argnames] = value;
              continue;
          }
          name = first_kw_arg;
          #if PY_MAJOR_VERSION < 3
          if (likely(PyString_CheckExact(key)) || 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;
                      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 = (**name == key) ? 0 :
                  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                      (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                  #endif
                      PyUnicode_Compare(**name, key);
                  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                  if (cmp == 0) {
                      values[name-argnames] = value;
                      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
                          (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(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;
          }
      }
      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:
      PyErr_Format(PyExc_TypeError,
      #if PY_MAJOR_VERSION < 3
          "%.200s() got an unexpected keyword argument '%.200s'",
          function_name, PyString_AsString(key));
      #else
          "%s() got an unexpected keyword argument '%U'",
          function_name, key);
      #endif
  bad:
      return -1;
  }
  
  /* PyErrFetchRestore */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
      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);
  }
  static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      *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
  
  /* RaiseTooManyValuesToUnpack */
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
      PyErr_Format(PyExc_ValueError,
                   "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
  }
  
  /* RaiseNeedMoreValuesToUnpack */
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
      PyErr_Format(PyExc_ValueError,
                   "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                   index, (index == 1) ? "" : "s");
  }
  
  /* IterFinish */
  static CYTHON_INLINE int __Pyx_IterFinish(void) {
  #if CYTHON_FAST_THREAD_STATE
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      PyObject* exc_type = tstate->curexc_type;
      if (unlikely(exc_type)) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
              PyObject *exc_value, *exc_tb;
              exc_value = tstate->curexc_value;
              exc_tb = tstate->curexc_traceback;
              tstate->curexc_type = 0;
              tstate->curexc_value = 0;
              tstate->curexc_traceback = 0;
              Py_DECREF(exc_type);
              Py_XDECREF(exc_value);
              Py_XDECREF(exc_tb);
              return 0;
          } else {
              return -1;
          }
      }
      return 0;
  #else
      if (unlikely(PyErr_Occurred())) {
          if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
              PyErr_Clear();
              return 0;
          } else {
              return -1;
          }
      }
      return 0;
  #endif
  }
  
  /* UnpackItemEndCheck */
  static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
      if (unlikely(retval)) {
          Py_DECREF(retval);
          __Pyx_RaiseTooManyValuesError(expected);
          return -1;
      } else {
          return __Pyx_IterFinish();
      }
      return 0;
  }
  
  /* ObjectGetItem */
  #if CYTHON_USE_TYPE_SLOTS
  static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
      PyObject *runerr;
      Py_ssize_t key_value;
      PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
      if (unlikely(!(m && m->sq_item))) {
          PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
          return NULL;
      }
      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)) {
          PyErr_Clear();
          PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
      }
      return NULL;
  }
  static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
      PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
      if (likely(m && m->mp_subscript)) {
          return m->mp_subscript(obj, key);
      }
      return __Pyx_PyObject_GetIndex(obj, key);
  }
  #endif
  
  /* BytesEquals */
  static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
  #if CYTHON_COMPILING_IN_PYPY
      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_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
      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
  }
  
  /* None */
  static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
      PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
  }
  
  /* FetchCommonType */
  static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
      PyObject* fake_module;
      PyTypeObject* cached_type = NULL;
      fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
      if (!fake_module) return NULL;
      Py_INCREF(fake_module);
      cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
      if (cached_type) {
          if (!PyType_Check((PyObject*)cached_type)) {
              PyErr_Format(PyExc_TypeError,
                  "Shared Cython type %.200s is not a type object",
                  type->tp_name);
              goto bad;
          }
          if (cached_type->tp_basicsize != type->tp_basicsize) {
              PyErr_Format(PyExc_TypeError,
                  "Shared Cython type %.200s has the wrong size, try recompiling",
                  type->tp_name);
              goto bad;
          }
      } else {
          if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
          PyErr_Clear();
          if (PyType_Ready(type) < 0) goto bad;
          if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
              goto bad;
          Py_INCREF(type);
          cached_type = type;
      }
  done:
      Py_DECREF(fake_module);
      return cached_type;
  bad:
      Py_XDECREF(cached_type);
      cached_type = NULL;
      goto done;
  }
  
  /* CythonFunction */
  #include <structmember.h>
  static PyObject *
  __Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
  {
      if (unlikely(op->func_doc == NULL)) {
          if (op->func.m_ml->ml_doc) {
  #if PY_MAJOR_VERSION >= 3
              op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
  #else
              op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
  #endif
              if (unlikely(op->func_doc == NULL))
                  return NULL;
          } else {
              Py_INCREF(Py_None);
              return Py_None;
          }
      }
      Py_INCREF(op->func_doc);
      return op->func_doc;
  }
  static int
  __Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
  {
      PyObject *tmp = op->func_doc;
      if (value == NULL) {
          value = Py_None;
      }
      Py_INCREF(value);
      op->func_doc = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      if (unlikely(op->func_name == NULL)) {
  #if PY_MAJOR_VERSION >= 3
          op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
  #else
          op->func_name = PyString_InternFromString(op->func.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, CYTHON_UNUSED void *context)
  {
      PyObject *tmp;
  #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;
      }
      tmp = op->func_name;
      Py_INCREF(value);
      op->func_name = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      Py_INCREF(op->func_qualname);
      return op->func_qualname;
  }
  static int
  __Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
  {
      PyObject *tmp;
  #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;
      }
      tmp = op->func_qualname;
      Py_INCREF(value);
      op->func_qualname = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
  {
      PyObject *self;
      self = m->func_closure;
      if (self == NULL)
          self = Py_None;
      Py_INCREF(self);
      return self;
  }
  static PyObject *
  __Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context)
  {
      PyObject *tmp;
      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;
      }
      tmp = op->func_dict;
      Py_INCREF(value);
      op->func_dict = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      Py_INCREF(op->func_globals);
      return op->func_globals;
  }
  static PyObject *
  __Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      Py_INCREF(Py_None);
      return Py_None;
  }
  static PyObject *
  __Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      PyObject* result = (op->func_code) ? op->func_code : Py_None;
      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 = PySequence_ITEM(res, 0);
      if (unlikely(!op->defaults_tuple)) result = -1;
      else {
          op->defaults_kwdict = 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, CYTHON_UNUSED void *context) {
      PyObject* tmp;
      if (!value) {
          value = Py_None;
      } else if (value != Py_None && !PyTuple_Check(value)) {
          PyErr_SetString(PyExc_TypeError,
                          "__defaults__ must be set to a tuple object");
          return -1;
      }
      Py_INCREF(value);
      tmp = op->defaults_tuple;
      op->defaults_tuple = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
      PyObject* result = op->defaults_tuple;
      if (unlikely(!result)) {
          if (op->defaults_getter) {
              if (__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, CYTHON_UNUSED void *context) {
      PyObject* tmp;
      if (!value) {
          value = Py_None;
      } else if (value != Py_None && !PyDict_Check(value)) {
          PyErr_SetString(PyExc_TypeError,
                          "__kwdefaults__ must be set to a dict object");
          return -1;
      }
      Py_INCREF(value);
      tmp = op->defaults_kwdict;
      op->defaults_kwdict = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
      PyObject* result = op->defaults_kwdict;
      if (unlikely(!result)) {
          if (op->defaults_getter) {
              if (__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, CYTHON_UNUSED void *context) {
      PyObject* tmp;
      if (!value || value == Py_None) {
          value = NULL;
      } else if (!PyDict_Check(value)) {
          PyErr_SetString(PyExc_TypeError,
                          "__annotations__ must be set to a dict object");
          return -1;
      }
      Py_XINCREF(value);
      tmp = op->func_annotations;
      op->func_annotations = value;
      Py_XDECREF(tmp);
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
      PyObject* result = op->func_annotations;
      if (unlikely(!result)) {
          result = PyDict_New();
          if (unlikely(!result)) return NULL;
          op->func_annotations = result;
      }
      Py_INCREF(result);
      return result;
  }
  static 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 *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 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},
      {0, 0, 0, 0, 0}
  };
  static PyMemberDef __pyx_CyFunction_members[] = {
      {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
      {0, 0, 0,  0, 0}
  };
  static PyObject *
  __Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
  {
  #if PY_MAJOR_VERSION >= 3
      return PyUnicode_FromString(m->func.m_ml->ml_name);
  #else
      return PyString_FromString(m->func.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
  #define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
  #else
  #define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
  #endif
  static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                        PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
      __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
      if (op == NULL)
          return NULL;
      op->flags = flags;
      __Pyx_CyFunction_weakreflist(op) = NULL;
      op->func.m_ml = ml;
      op->func.m_self = (PyObject *) op;
      Py_XINCREF(closure);
      op->func_closure = closure;
      Py_XINCREF(module);
      op->func.m_module = module;
      op->func_dict = NULL;
      op->func_name = NULL;
      Py_INCREF(qualname);
      op->func_qualname = qualname;
      op->func_doc = NULL;
      op->func_classobj = NULL;
      op->func_globals = globals;
      Py_INCREF(op->func_globals);
      Py_XINCREF(code);
      op->func_code = code;
      op->defaults_pyobjects = 0;
      op->defaults = NULL;
      op->defaults_tuple = NULL;
      op->defaults_kwdict = NULL;
      op->defaults_getter = NULL;
      op->func_annotations = NULL;
      PyObject_GC_Track(op);
      return (PyObject *) op;
  }
  static int
  __Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
  {
      Py_CLEAR(m->func_closure);
      Py_CLEAR(m->func.m_module);
      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);
      Py_CLEAR(m->func_classobj);
      Py_CLEAR(m->defaults_tuple);
      Py_CLEAR(m->defaults_kwdict);
      Py_CLEAR(m->func_annotations);
      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);
      PyObject_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);
      Py_VISIT(m->func.m_module);
      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);
      Py_VISIT(m->func_classobj);
      Py_VISIT(m->defaults_tuple);
      Py_VISIT(m->defaults_kwdict);
      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_descr_get(PyObject *func, PyObject *obj, PyObject *type)
  {
      __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
      if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
          Py_INCREF(func);
          return func;
      }
      if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
          if (type == NULL)
              type = (PyObject *)(Py_TYPE(obj));
          return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
      }
      if (obj == Py_None)
          obj = NULL;
      return __Pyx_PyMethod_New(func, obj, type);
  }
  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) {
      PyCFunctionObject* f = (PyCFunctionObject*)func;
      PyCFunction meth = f->m_ml->ml_meth;
      Py_ssize_t size;
      switch (f->m_ml->ml_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)) {
              size = PyTuple_GET_SIZE(arg);
              if (likely(size == 0))
                  return (*meth)(self, NULL);
              PyErr_Format(PyExc_TypeError,
                  "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                  f->m_ml->ml_name, size);
              return NULL;
          }
          break;
      case METH_O:
          if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
              size = PyTuple_GET_SIZE(arg);
              if (likely(size == 1)) {
                  PyObject *result, *arg0;
                  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                  arg0 = PyTuple_GET_ITEM(arg, 0);
                  #else
                  arg0 = 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;
              }
              PyErr_Format(PyExc_TypeError,
                  "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                  f->m_ml->ml_name, size);
              return NULL;
          }
          break;
      default:
          PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                          "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                          "longer supported!");
          return NULL;
      }
      PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                   f->m_ml->ml_name);
      return NULL;
  }
  static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
      return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
  }
  static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
      PyObject *result;
      __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
      if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
          Py_ssize_t argc;
          PyObject *new_args;
          PyObject *self;
          argc = PyTuple_GET_SIZE(args);
          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);
              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;
  }
  static PyTypeObject __pyx_CyFunctionType_type = {
      PyVarObject_HEAD_INIT(0, 0)
      "cython_function_or_method",
      sizeof(__pyx_CyFunctionObject),
      0,
      (destructor) __Pyx_CyFunction_dealloc,
      0,
      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,
      Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
      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_CyFunction_descr_get,
      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
      0,
  #endif
  };
  static int __pyx_CyFunction_init(void) {
      __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
      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;
      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);
  }
  
  /* None */
  static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
      PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
  }
  
  /* PyIntBinop */
  #if !CYTHON_COMPILING_IN_PYPY
  static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
      (void)inplace;
      (void)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 + 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
          const digit* digits = ((PyLongObject*)op1)->ob_digit;
          const Py_ssize_t size = Py_SIZE(op1);
          if (likely(__Pyx_sst_abs(size) <= 1)) {
              a = likely(size) ? digits[0] : 0;
              if (size == -1) a = -a;
          } else {
              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;
          double a = PyFloat_AS_DOUBLE(op1);
              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
  
  /* SliceObject */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
          Py_ssize_t cstart, Py_ssize_t cstop,
          PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
          int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
  #if CYTHON_USE_TYPE_SLOTS
      PyMappingMethods* mp;
  #if PY_MAJOR_VERSION < 3
      PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
      if (likely(ms && ms->sq_slice)) {
          if (!has_cstart) {
              if (_py_start && (*_py_start != Py_None)) {
                  cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                  if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
              } else
                  cstart = 0;
          }
          if (!has_cstop) {
              if (_py_stop && (*_py_stop != Py_None)) {
                  cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                  if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
              } else
                  cstop = PY_SSIZE_T_MAX;
          }
          if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
              Py_ssize_t l = ms->sq_length(obj);
              if (likely(l >= 0)) {
                  if (cstop < 0) {
                      cstop += l;
                      if (cstop < 0) cstop = 0;
                  }
                  if (cstart < 0) {
                      cstart += l;
                      if (cstart < 0) cstart = 0;
                  }
              } else {
                  if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                      goto bad;
                  PyErr_Clear();
              }
          }
          return ms->sq_slice(obj, cstart, cstop);
      }
  #endif
      mp = Py_TYPE(obj)->tp_as_mapping;
      if (likely(mp && mp->mp_subscript))
  #endif
      {
          PyObject* result;
          PyObject *py_slice, *py_start, *py_stop;
          if (_py_slice) {
              py_slice = *_py_slice;
          } else {
              PyObject* owned_start = NULL;
              PyObject* owned_stop = NULL;
              if (_py_start) {
                  py_start = *_py_start;
              } else {
                  if (has_cstart) {
                      owned_start = py_start = PyInt_FromSsize_t(cstart);
                      if (unlikely(!py_start)) goto bad;
                  } else
                      py_start = Py_None;
              }
              if (_py_stop) {
                  py_stop = *_py_stop;
              } else {
                  if (has_cstop) {
                      owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                      if (unlikely(!py_stop)) {
                          Py_XDECREF(owned_start);
                          goto bad;
                      }
                  } else
                      py_stop = Py_None;
              }
              py_slice = PySlice_New(py_start, py_stop, Py_None);
              Py_XDECREF(owned_start);
              Py_XDECREF(owned_stop);
              if (unlikely(!py_slice)) goto bad;
          }
  #if CYTHON_USE_TYPE_SLOTS
          result = mp->mp_subscript(obj, py_slice);
  #else
          result = PyObject_GetItem(obj, py_slice);
  #endif
          if (!_py_slice) {
              Py_DECREF(py_slice);
          }
          return result;
      }
      PyErr_Format(PyExc_TypeError,
          "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
  bad:
      return NULL;
  }
  
  /* SliceTupleAndList */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE void __Pyx_crop_slice(Py_ssize_t* _start, Py_ssize_t* _stop, Py_ssize_t* _length) {
      Py_ssize_t start = *_start, stop = *_stop, length = *_length;
      if (start < 0) {
          start += length;
          if (start < 0)
              start = 0;
      }
      if (stop < 0)
          stop += length;
      else if (stop > length)
          stop = length;
      *_length = stop - start;
      *_start = start;
      *_stop = stop;
  }
  static CYTHON_INLINE void __Pyx_copy_object_array(PyObject** 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_PyList_GetSlice(
              PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
      PyObject* dest;
      Py_ssize_t length = PyList_GET_SIZE(src);
      __Pyx_crop_slice(&start, &stop, &length);
      if (unlikely(length <= 0))
          return PyList_New(0);
      dest = PyList_New(length);
      if (unlikely(!dest))
          return NULL;
      __Pyx_copy_object_array(
          ((PyListObject*)src)->ob_item + start,
          ((PyListObject*)dest)->ob_item,
          length);
      return dest;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(
              PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
      PyObject* dest;
      Py_ssize_t length = PyTuple_GET_SIZE(src);
      __Pyx_crop_slice(&start, &stop, &length);
      if (unlikely(length <= 0))
          return PyTuple_New(0);
      dest = PyTuple_New(length);
      if (unlikely(!dest))
          return NULL;
      __Pyx_copy_object_array(
          ((PyTupleObject*)src)->ob_item + start,
          ((PyTupleObject*)dest)->ob_item,
          length);
      return dest;
  }
  #endif
  
  /* py_abs */
  #if CYTHON_USE_PYLONG_INTERNALS
  static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
      if (likely(Py_SIZE(n) == -1)) {
          return PyLong_FromLong(((PyLongObject*)n)->ob_digit[0]);
      }
  #if CYTHON_COMPILING_IN_CPYTHON
      {
          PyObject *copy = _PyLong_Copy((PyLongObject*)n);
          if (likely(copy)) {
              Py_SIZE(copy) = -(Py_SIZE(copy));
          }
          return copy;
      }
  #else
      return PyNumber_Negative(n);
  #endif
  }
  #endif
  
  /* 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
      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 PY_MAJOR_VERSION >= 3
          #ifdef __Pyx_CyFunction_USED
          if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
          #else
          if (likely(PyFunction_Check(descr) || (Py_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 (descr != NULL) {
          *method = descr;
          return 0;
      }
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'%.50s' object has no attribute '%U'",
                   tp->tp_name, name);
  #else
                   "'%.50s' object has no attribute '%.400s'",
                   tp->tp_name, PyString_AS_STRING(name));
  #endif
      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 */
  static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
      PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
      Py_DECREF(method);
      return result;
  }
  static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
      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);
  }
  
  /* append */
  static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
      if (likely(PyList_CheckExact(L))) {
          if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
      } else {
          PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
          if (unlikely(!retval))
              return -1;
          Py_DECREF(retval);
      }
      return 0;
  }
  
  /* DictGetItem */
  #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
  static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
      PyObject *value;
      value = PyDict_GetItemWithError(d, key);
      if (unlikely(!value)) {
          if (!PyErr_Occurred()) {
              if (unlikely(PyTuple_Check(key))) {
                  PyObject* args = PyTuple_Pack(1, key);
                  if (likely(args)) {
                      PyErr_SetObject(PyExc_KeyError, args);
                      Py_DECREF(args);
                  }
              } else {
                  PyErr_SetObject(PyExc_KeyError, key);
              }
          }
          return NULL;
      }
      Py_INCREF(value);
      return value;
  }
  #endif
  
  /* PyObjectCallMethod0 */
  static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
      PyObject *method = NULL, *result = NULL;
      int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
      if (likely(is_method)) {
          result = __Pyx_PyObject_CallOneArg(method, obj);
          Py_DECREF(method);
          return result;
      }
      if (unlikely(!method)) goto bad;
      result = __Pyx_PyObject_CallNoArg(method);
      Py_DECREF(method);
  bad:
      return result;
  }
  
  /* RaiseNoneIterError */
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
  }
  
  /* UnpackTupleError */
  static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
      if (t == Py_None) {
        __Pyx_RaiseNoneNotIterableError();
      } else if (PyTuple_GET_SIZE(t) < index) {
        __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
      } else {
        __Pyx_RaiseTooManyValuesError(index);
      }
  }
  
  /* UnpackTuple2 */
  static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
          PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
      PyObject *value1 = NULL, *value2 = NULL;
  #if CYTHON_COMPILING_IN_PYPY
      value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
      value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
  #else
      value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
      value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
  #endif
      if (decref_tuple) {
          Py_DECREF(tuple);
      }
      *pvalue1 = value1;
      *pvalue2 = value2;
      return 0;
  #if CYTHON_COMPILING_IN_PYPY
  bad:
      Py_XDECREF(value1);
      Py_XDECREF(value2);
      if (decref_tuple) { Py_XDECREF(tuple); }
      return -1;
  #endif
  }
  static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                         int has_known_size, int decref_tuple) {
      Py_ssize_t index;
      PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
      iternextfunc iternext;
      iter = PyObject_GetIter(tuple);
      if (unlikely(!iter)) goto bad;
      if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
      iternext = Py_TYPE(iter)->tp_iternext;
      value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
      value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
      if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
      Py_DECREF(iter);
      *pvalue1 = value1;
      *pvalue2 = value2;
      return 0;
  unpacking_failed:
      if (!has_known_size && __Pyx_IterFinish() == 0)
          __Pyx_RaiseNeedMoreValuesError(index);
  bad:
      Py_XDECREF(iter);
      Py_XDECREF(value1);
      Py_XDECREF(value2);
      if (decref_tuple) { Py_XDECREF(tuple); }
      return -1;
  }
  
  /* dict_iter */
  static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                     Py_ssize_t* p_orig_length, int* p_source_is_dict) {
      is_dict = is_dict || likely(PyDict_CheckExact(iterable));
      *p_source_is_dict = is_dict;
      if (is_dict) {
  #if !CYTHON_COMPILING_IN_PYPY
          *p_orig_length = PyDict_Size(iterable);
          Py_INCREF(iterable);
          return iterable;
  #elif PY_MAJOR_VERSION >= 3
          static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
          PyObject **pp = NULL;
          if (method_name) {
              const char *name = PyUnicode_AsUTF8(method_name);
              if (strcmp(name, "iteritems") == 0) pp = &py_items;
              else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
              else if (strcmp(name, "itervalues") == 0) pp = &py_values;
              if (pp) {
                  if (!*pp) {
                      *pp = PyUnicode_FromString(name + 4);
                      if (!*pp)
                          return NULL;
                  }
                  method_name = *pp;
              }
          }
  #endif
      }
      *p_orig_length = 0;
      if (method_name) {
          PyObject* iter;
          iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
          if (!iterable)
              return NULL;
  #if !CYTHON_COMPILING_IN_PYPY
          if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
              return iterable;
  #endif
          iter = PyObject_GetIter(iterable);
          Py_DECREF(iterable);
          return iter;
      }
      return PyObject_GetIter(iterable);
  }
  static CYTHON_INLINE int __Pyx_dict_iter_next(
          PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
          PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
      PyObject* next_item;
  #if !CYTHON_COMPILING_IN_PYPY
      if (source_is_dict) {
          PyObject *key, *value;
          if (unlikely(orig_length != PyDict_Size(iter_obj))) {
              PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
              return -1;
          }
          if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
              return 0;
          }
          if (pitem) {
              PyObject* tuple = PyTuple_New(2);
              if (unlikely(!tuple)) {
                  return -1;
              }
              Py_INCREF(key);
              Py_INCREF(value);
              PyTuple_SET_ITEM(tuple, 0, key);
              PyTuple_SET_ITEM(tuple, 1, value);
              *pitem = tuple;
          } else {
              if (pkey) {
                  Py_INCREF(key);
                  *pkey = key;
              }
              if (pvalue) {
                  Py_INCREF(value);
                  *pvalue = value;
              }
          }
          return 1;
      } else if (PyTuple_CheckExact(iter_obj)) {
          Py_ssize_t pos = *ppos;
          if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
          *ppos = pos + 1;
          next_item = PyTuple_GET_ITEM(iter_obj, pos);
          Py_INCREF(next_item);
      } else if (PyList_CheckExact(iter_obj)) {
          Py_ssize_t pos = *ppos;
          if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
          *ppos = pos + 1;
          next_item = PyList_GET_ITEM(iter_obj, pos);
          Py_INCREF(next_item);
      } else
  #endif
      {
          next_item = PyIter_Next(iter_obj);
          if (unlikely(!next_item)) {
              return __Pyx_IterFinish();
          }
      }
      if (pitem) {
          *pitem = next_item;
      } else if (pkey && pvalue) {
          if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
              return -1;
      } else if (pkey) {
          *pkey = next_item;
      } else {
          *pvalue = next_item;
      }
      return 1;
  }
  
  /* StringJoin */
  #if !CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values) {
      return PyObject_CallMethodObjArgs(sep, __pyx_n_s_join, values, NULL);
  }
  #endif
  
  /* PyIntCompare */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
      if (op1 == op2) {
          Py_RETURN_TRUE;
      }
      #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_CheckExact(op1))) {
          const long b = intval;
          long a = PyInt_AS_LONG(op1);
          if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
      }
      #endif
      #if CYTHON_USE_PYLONG_INTERNALS
      if (likely(PyLong_CheckExact(op1))) {
          int unequal;
          unsigned long uintval;
          Py_ssize_t size = Py_SIZE(op1);
          const digit* digits = ((PyLongObject*)op1)->ob_digit;
          if (intval == 0) {
              if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
          } else if (intval < 0) {
              if (size >= 0)
                  Py_RETURN_FALSE;
              intval = -intval;
              size = -size;
          } else {
              if (size <= 0)
                  Py_RETURN_FALSE;
          }
          uintval = (unsigned long) intval;
  #if PyLong_SHIFT * 4 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 4)) {
              unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
  #if PyLong_SHIFT * 3 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 3)) {
              unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
  #if PyLong_SHIFT * 2 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 2)) {
              unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
  #if PyLong_SHIFT * 1 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 1)) {
              unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
              unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
          if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
      }
      #endif
      if (PyFloat_CheckExact(op1)) {
          const long b = intval;
          double a = PyFloat_AS_DOUBLE(op1);
          if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
      }
      return (
          PyObject_RichCompare(op1, op2, Py_EQ));
  }
  
  /* PyObject_GenericGetAttrNoDict */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'%.50s' object has no attribute '%U'",
                   tp->tp_name, attr_name);
  #else
                   "'%.50s' object has no attribute '%.400s'",
                   tp->tp_name, PyString_AS_STRING(attr_name));
  #endif
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
      PyObject *descr;
      PyTypeObject *tp = Py_TYPE(obj);
      if (unlikely(!PyString_Check(attr_name))) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      assert(!tp->tp_dictoffset);
      descr = _PyType_Lookup(tp, attr_name);
      if (unlikely(!descr)) {
          return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
      }
      Py_INCREF(descr);
      #if PY_MAJOR_VERSION < 3
      if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
      #endif
      {
          descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
          if (unlikely(f)) {
              PyObject *res = f(descr, obj, (PyObject *)tp);
              Py_DECREF(descr);
              return res;
          }
      }
      return descr;
  }
  #endif
  
  /* Import */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
      PyObject *empty_list = 0;
      PyObject *module = 0;
      PyObject *global_dict = 0;
      PyObject *empty_dict = 0;
      PyObject *list;
      #if PY_MAJOR_VERSION < 3
      PyObject *py_import;
      py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
      if (!py_import)
          goto bad;
      #endif
      if (from_list)
          list = from_list;
      else {
          empty_list = PyList_New(0);
          if (!empty_list)
              goto bad;
          list = empty_list;
      }
      global_dict = PyModule_GetDict(__pyx_m);
      if (!global_dict)
          goto bad;
      empty_dict = PyDict_New();
      if (!empty_dict)
          goto bad;
      {
          #if PY_MAJOR_VERSION >= 3
          if (level == -1) {
              if (strchr(__Pyx_MODULE_NAME, '.')) {
                  module = PyImport_ImportModuleLevelObject(
                      name, global_dict, empty_dict, list, 1);
                  if (!module) {
                      if (!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 (!py_level)
                  goto bad;
              module = PyObject_CallFunctionObjArgs(py_import,
                  name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
              Py_DECREF(py_level);
              #else
              module = PyImport_ImportModuleLevelObject(
                  name, global_dict, empty_dict, list, level);
              #endif
          }
      }
  bad:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(py_import);
      #endif
      Py_XDECREF(empty_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  /* 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
      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_GetAttrStr(__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;
          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 */
  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);
  }
  
  /* AddTraceback */
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
              const char *funcname, int c_line,
              int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyObject *py_srcfile = 0;
      PyObject *py_funcname = 0;
      #if PY_MAJOR_VERSION < 3
      py_srcfile = PyString_FromString(filename);
      #else
      py_srcfile = PyUnicode_FromString(filename);
      #endif
      if (!py_srcfile) goto bad;
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          #else
          py_funcname = PyUnicode_FromString(funcname);
          #endif
      }
      if (!py_funcname) goto bad;
      py_code = __Pyx_PyCode_New(
          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);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      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) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __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);
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
      const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
      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
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
      }
  }
  
  /* 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) {
      const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
      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;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                  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
              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
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                  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
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              long val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (long) -1;
          }
      } else {
          long val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyInt_As_long(tmp);
          Py_DECREF(tmp);
          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) {
      const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
      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;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                  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
              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
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                  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
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int) -1;
          }
      } else {
          int val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyInt_As_int(tmp);
          Py_DECREF(tmp);
          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 = a->tp_base;
          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);
  }
  #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) {
      int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
      if (!res) {
          res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
      }
      return res;
  }
  #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 int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          return PyErr_WarnEx(NULL, message, 1);
      }
      return 0;
  }
  
  /* InitStrings */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          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);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          if (PyObject_Hash(*t->p) == -1)
              return -1;
          ++t;
      }
      return 0;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
      return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
  }
  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) || (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) {
  #if PY_MAJOR_VERSION >= 3
      if (PyLong_Check(result)) {
          if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                  "__int__ returned non-int (type %.200s).  "
                  "The ability to return an instance of a strict subclass of int "
                  "is deprecated, and may be removed in a future version of Python.",
                  Py_TYPE(result)->tp_name)) {
              Py_DECREF(result);
              return NULL;
          }
          return result;
      }
  #endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   type_name, type_name, Py_TYPE(result)->tp_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
      const digit* digits = ((PyLongObject*)b)->ob_digit;
      const Py_ssize_t size = Py_SIZE(b);
      if (likely(__Pyx_sst_abs(size) <= 1)) {
          ival = likely(size) ? digits[0] : 0;
          if (size == -1) ival = -ival;
          return ival;
      } else {
        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 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);
  }
  
  
  #endif /* Py_PYTHON_H */
  