/* Generated by Cython 0.29.28 */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* 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+.
#else
#define CYTHON_ABI "0_29_28"
#define CYTHON_HEX_VERSION 0x001D1CF0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #if PY_VERSION_HEX >= 0x02070000
    #define HAVE_LONG_LONG
  #endif
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_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
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #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
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_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
#else
  #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
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #if PY_VERSION_HEX >= 0x030B00A4
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
  #elif !defined(CYTHON_FAST_THREAD_STATE)
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL (PY_VERSION_HEX < 0x030B00A1)
  #endif
  #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
  #if PY_VERSION_HEX >= 0x030B00A4
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned char     uint8_t;
           typedef unsigned int      uint32_t;
        #else
           typedef unsigned __int8   uint8_t;
           typedef unsigned __int32  uint32_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#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
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__ ) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif

#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
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030B00A1
    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
        PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
        const char *fn_cstr=NULL;
        const char *name_cstr=NULL;
        PyCodeObject* co=NULL;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        if (!(kwds=PyDict_New())) goto end;
        if (!(argcount=PyLong_FromLong(a))) goto end;
        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
        if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
        if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
        if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
        if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
        if (!(nlocals=PyLong_FromLong(l))) goto end;
        if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
        if (!(stacksize=PyLong_FromLong(s))) goto end;
        if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
        if (!(flags=PyLong_FromLong(f))) goto end;
        if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
        if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
        if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
        if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
        if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
        Py_XDECREF((PyObject*)co);
        co = (PyCodeObject*)call_result;
        call_result = NULL;
        if (0) {
            cleanup_code_too:
            Py_XDECREF((PyObject*)co);
            co = NULL;
        }
        end:
        Py_XDECREF(kwds);
        Py_XDECREF(argcount);
        Py_XDECREF(posonlyargcount);
        Py_XDECREF(kwonlyargcount);
        Py_XDECREF(nlocals);
        Py_XDECREF(stacksize);
        Py_XDECREF(replace);
        Py_XDECREF(call_result);
        Py_XDECREF(empty);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return co;
    }
#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
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if 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
  #if defined(PyUnicode_IS_READY)
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #else
  #define __Pyx_PyUnicode_READY(op)       (0)
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         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)
  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
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  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #endif
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  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
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  #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)
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  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
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#endif
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  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
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#ifndef PyObject_Unicode
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#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
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  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
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#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
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  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
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#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
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  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
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  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
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#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
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  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
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  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
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#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
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#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
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#define __PYX_MARK_ERR_POS(f_index, lineno) \
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#define __PYX_ERR(f_index, lineno, Ln_error) \
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#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__low_index___low_index
#define __PYX_HAVE_API__low_index___low_index
/* Early includes */
#include <string.h>
#include <stdlib.h>
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

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

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

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
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    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;


static const char *__pyx_f[] = {
  "cython_src/words.pxi",
  "stringsource",
  "cython_src/covers.pxi",
  "cython_src/_low_index.pyx",
};

/*--- Type declarations ---*/
struct __pyx_obj_9low_index_10_low_index_Word;
struct __pyx_obj_9low_index_10_low_index_ReducedWord;
struct __pyx_obj_9low_index_10_low_index_ReducedWords;
struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord;
struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph;
struct __pyx_obj_9low_index_10_low_index_SimsNode;
struct __pyx_obj_9low_index_10_low_index_NodeManager;
struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator;
struct __pyx_obj_9low_index_10_low_index_SimsTree;
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin;
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr;
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators;
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_3_genexpr;
struct __pyx_opt_args_9low_index_10_low_index_8SimsTree_list_mp;
struct __pyx_opt_args_9low_index_10_low_index_8SimsTree_bloom;

/* "cython_src/covers.pxi":756
 *         return result
 * 
 *     cdef list_mp(self, int target_size=1000):             # <<<<<<<<<<<<<<
 *         """
 *         Compute the list of covers with a pool of worker processes. Does
 */
struct __pyx_opt_args_9low_index_10_low_index_8SimsTree_list_mp {
  int __pyx_n;
  int target_size;
};

/* "cython_src/covers.pxi":778
 *     # used to seed the multiprocessing list method.
 * 
 *     cpdef bloom(self, int target_size=1000):             # <<<<<<<<<<<<<<
 *         """
 *         Return a list of nodes created by iteratively replacing each node
 */
struct __pyx_opt_args_9low_index_10_low_index_8SimsTree_bloom {
  int __pyx_n;
  int target_size;
};

/* "cython_src/words.pxi":6
 * alphabet = 'ZYXWVUTSRQPONMLKJIHGFEDCBA abcdefghijklnmopqrstuvwxyz'
 * 
 * cdef class Word():             # <<<<<<<<<<<<<<
 *     cdef public int rank, length
 *     cdef int start, size
 */
struct __pyx_obj_9low_index_10_low_index_Word {
  PyObject_HEAD
  struct __pyx_vtabstruct_9low_index_10_low_index_Word *__pyx_vtab;
  int rank;
  int length;
  int start;
  int size;
  short *buffer;
};


/* "cython_src/words.pxi":114
 *         self.start = start
 * 
 * cdef class ReducedWord(Word):             # <<<<<<<<<<<<<<
 * 
 *     def __init__(self, letters, int rank=0, int extra_space=0):
 */
struct __pyx_obj_9low_index_10_low_index_ReducedWord {
  struct __pyx_obj_9low_index_10_low_index_Word __pyx_base;
};


/* "cython_src/words.pxi":197
 *         return answer
 * 
 * cdef class ReducedWords:             # <<<<<<<<<<<<<<
 *     """
 *     Iterator for reduced words of a given rank with bounded length.
 */
struct __pyx_obj_9low_index_10_low_index_ReducedWords {
  PyObject_HEAD
  struct __pyx_obj_9low_index_10_low_index_ReducedWord *current;
  int rank;
  int max_length;
};


/* "cython_src/words.pxi":222
 *         return self
 * 
 * cdef class CyclicallyReducedWord(ReducedWord):             # <<<<<<<<<<<<<<
 * 
 *     def __init__(self, letters, int rank=0, int extra_space=0):
 */
struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord {
  struct __pyx_obj_9low_index_10_low_index_ReducedWord __pyx_base;
};


/* "cython_src/covers.pxi":48
 * import subprocess
 * 
 * cdef class CoveringSubgraph:             # <<<<<<<<<<<<<<
 *     cdef public int rank
 *     cdef public int degree
 */
struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph {
  PyObject_HEAD
  struct __pyx_vtabstruct_9low_index_10_low_index_CoveringSubgraph *__pyx_vtab;
  int rank;
  int degree;
  int max_degree;
  int num_edges;
  int num_relators;
  unsigned char *outgoing;
  unsigned char *incoming;
};


/* "cython_src/covers.pxi":239
 *         return 0
 * 
 * cdef class SimsNode(CoveringSubgraph):             # <<<<<<<<<<<<<<
 *     cdef unsigned char* state_info
 *     cdef unsigned char* lift_indices
 */
struct __pyx_obj_9low_index_10_low_index_SimsNode {
  struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph __pyx_base;
  unsigned char *state_info;
  unsigned char *lift_indices;
  unsigned char *lift_vertices;
  PyObject *children;
};


/* "cython_src/covers.pxi":521
 *         return True
 * 
 * cdef class NodeManager:             # <<<<<<<<<<<<<<
 *     cdef SimsTree tree
 *     cdef list stack, cache
 */
struct __pyx_obj_9low_index_10_low_index_NodeManager {
  PyObject_HEAD
  struct __pyx_vtabstruct_9low_index_10_low_index_NodeManager *__pyx_vtab;
  struct __pyx_obj_9low_index_10_low_index_SimsTree *tree;
  PyObject *stack;
  PyObject *cache;
  int rank;
  int max_degree;
  int num_relators;
};


/* "cython_src/covers.pxi":563
 *         self.cache.append(node)
 * 
 * cdef class SimsTreeIterator:             # <<<<<<<<<<<<<<
 *     cdef int rank, max_degree, num_relators
 *     cdef NodeManager manager
 */
struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator {
  PyObject_HEAD
  struct __pyx_vtabstruct_9low_index_10_low_index_SimsTreeIterator *__pyx_vtab;
  int rank;
  int max_degree;
  int num_relators;
  struct __pyx_obj_9low_index_10_low_index_NodeManager *manager;
};


/* "cython_src/covers.pxi":610
 *                         break
 * 
 * cdef class SimsTree:             # <<<<<<<<<<<<<<
 *     """
 *     A "tree" of SimsNodes constructed by Sims algorithm.  Each
 */
struct __pyx_obj_9low_index_10_low_index_SimsTree {
  PyObject_HEAD
  struct __pyx_vtabstruct_9low_index_10_low_index_SimsTree *__pyx_vtab;
  int rank;
  int max_degree;
  struct __pyx_obj_9low_index_10_low_index_SimsNode *root;
  PyObject *nodes;
  PyObject *relators;
  PyObject *relator_strings;
  PyObject *long_relators;
  PyObject *strategy;
  int num_relators;
  int num_long_relators;
};


/* "cython_src/covers.pxi":718
 *         return SimsTree(self.rank, self.max_degree, relators, root=node)
 * 
 *     cdef spin(self, str word):             # <<<<<<<<<<<<<<
 *         return sorted(set(word[k:] + word[:k] for k in range(len(word))))
 * 
 */
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin {
  PyObject_HEAD
  PyObject *__pyx_v_word;
};


/* "cython_src/covers.pxi":719
 * 
 *     cdef spin(self, str word):
 *         return sorted(set(word[k:] + word[:k] for k in range(len(word))))             # <<<<<<<<<<<<<<
 * 
 *     def spin_short_relators(self, relators):
 */
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin *__pyx_outer_scope;
  Py_ssize_t __pyx_v_k;
};


/* "cython_src/covers.pxi":721
 *         return sorted(set(word[k:] + word[:k] for k in range(len(word))))
 * 
 *     def spin_short_relators(self, relators):             # <<<<<<<<<<<<<<
 *         result = []
 *         if relators:
 */
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators {
  PyObject_HEAD
  PyObject *__pyx_v_relators;
};


/* "cython_src/covers.pxi":724
 *         result = []
 *         if relators:
 *             avg = sum(len(r) for r in relators) / len(relators)             # <<<<<<<<<<<<<<
 *             for r in relators:
 *                 if len(r) <= max(avg, self.max_degree):
 */
struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_3_genexpr {
  PyObject_HEAD
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};



/* "cython_src/words.pxi":6
 * alphabet = 'ZYXWVUTSRQPONMLKJIHGFEDCBA abcdefghijklnmopqrstuvwxyz'
 * 
 * cdef class Word():             # <<<<<<<<<<<<<<
 *     cdef public int rank, length
 *     cdef int start, size
 */

struct __pyx_vtabstruct_9low_index_10_low_index_Word {
  PyObject *(*_cat)(struct __pyx_obj_9low_index_10_low_index_Word *, struct __pyx_obj_9low_index_10_low_index_Word *, struct __pyx_obj_9low_index_10_low_index_Word *);
  PyObject *(*repack)(struct __pyx_obj_9low_index_10_low_index_Word *);
  PyObject *(*reduce)(struct __pyx_obj_9low_index_10_low_index_Word *);
  PyObject *(*cyclically_reduce)(struct __pyx_obj_9low_index_10_low_index_Word *);
};
static struct __pyx_vtabstruct_9low_index_10_low_index_Word *__pyx_vtabptr_9low_index_10_low_index_Word;


/* "cython_src/words.pxi":114
 *         self.start = start
 * 
 * cdef class ReducedWord(Word):             # <<<<<<<<<<<<<<
 * 
 *     def __init__(self, letters, int rank=0, int extra_space=0):
 */

struct __pyx_vtabstruct_9low_index_10_low_index_ReducedWord {
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};
static struct __pyx_vtabstruct_9low_index_10_low_index_ReducedWord *__pyx_vtabptr_9low_index_10_low_index_ReducedWord;


/* "cython_src/words.pxi":222
 *         return self
 * 
 * cdef class CyclicallyReducedWord(ReducedWord):             # <<<<<<<<<<<<<<
 * 
 *     def __init__(self, letters, int rank=0, int extra_space=0):
 */

struct __pyx_vtabstruct_9low_index_10_low_index_CyclicallyReducedWord {
  struct __pyx_vtabstruct_9low_index_10_low_index_ReducedWord __pyx_base;
};
static struct __pyx_vtabstruct_9low_index_10_low_index_CyclicallyReducedWord *__pyx_vtabptr_9low_index_10_low_index_CyclicallyReducedWord;


/* "cython_src/covers.pxi":48
 * import subprocess
 * 
 * cdef class CoveringSubgraph:             # <<<<<<<<<<<<<<
 *     cdef public int rank
 *     cdef public int degree
 */

struct __pyx_vtabstruct_9low_index_10_low_index_CoveringSubgraph {
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  PyObject *(*is_complete)(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *, int __pyx_skip_dispatch);
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};
static struct __pyx_vtabstruct_9low_index_10_low_index_CoveringSubgraph *__pyx_vtabptr_9low_index_10_low_index_CoveringSubgraph;
static CYTHON_INLINE PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph__is_complete(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *);
static CYTHON_INLINE int __pyx_f_9low_index_10_low_index_16CoveringSubgraph__first_empty_slot(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *);


/* "cython_src/covers.pxi":239
 *         return 0
 * 
 * cdef class SimsNode(CoveringSubgraph):             # <<<<<<<<<<<<<<
 *     cdef unsigned char* state_info
 *     cdef unsigned char* lift_indices
 */

struct __pyx_vtabstruct_9low_index_10_low_index_SimsNode {
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/* "cython_src/covers.pxi":521
 *         return True
 * 
 * cdef class NodeManager:             # <<<<<<<<<<<<<<
 *     cdef SimsTree tree
 *     cdef list stack, cache
 */

struct __pyx_vtabstruct_9low_index_10_low_index_NodeManager {
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/* "cython_src/covers.pxi":563
 *         self.cache.append(node)
 * 
 * cdef class SimsTreeIterator:             # <<<<<<<<<<<<<<
 *     cdef int rank, max_degree, num_relators
 *     cdef NodeManager manager
 */

struct __pyx_vtabstruct_9low_index_10_low_index_SimsTreeIterator {
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static struct __pyx_vtabstruct_9low_index_10_low_index_SimsTreeIterator *__pyx_vtabptr_9low_index_10_low_index_SimsTreeIterator;
static CYTHON_INLINE PyObject *__pyx_f_9low_index_10_low_index_16SimsTreeIterator__next(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *);


/* "cython_src/covers.pxi":610
 *                         break
 * 
 * cdef class SimsTree:             # <<<<<<<<<<<<<<
 *     """
 *     A "tree" of SimsNodes constructed by Sims algorithm.  Each
 */

struct __pyx_vtabstruct_9low_index_10_low_index_SimsTree {
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    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

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

/* 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
#if CYTHON_FAST_PYCALL
  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 // CYTHON_FAST_PYCALL
#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);

/* 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);

/* 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

/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

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

/* BuildPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char);

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

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* JoinPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

/* 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);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* 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

/* 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

/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* bytes_index.proto */
static CYTHON_INLINE char __Pyx_PyBytes_GetItemInt(PyObject* bytes, Py_ssize_t index, int check_bounds);

/* PyUnicode_Substring.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Substring(
            PyObject* text, Py_ssize_t start, Py_ssize_t stop);

/* 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);

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

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* pop.proto */
static CYTHON_INLINE PyObject* __Pyx__PyObject_Pop(PyObject* L);
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE PyObject* __Pyx_PyList_Pop(PyObject* L);
#define __Pyx_PyObject_Pop(L) (likely(PyList_CheckExact(L)) ?\
    __Pyx_PyList_Pop(L) : __Pyx__PyObject_Pop(L))
#else
#define __Pyx_PyList_Pop(L)  __Pyx__PyObject_Pop(L)
#define __Pyx_PyObject_Pop(L)  __Pyx__PyObject_Pop(L)
#endif

/* UnpackUnboundCMethod.proto */
typedef struct {
    PyObject *type;
    PyObject **method_name;
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;

/* CallUnboundCMethod0.proto */
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CallUnboundCMethod0(cfunc, self)\
    (likely((cfunc)->func) ?\
        (likely((cfunc)->flag == METH_NOARGS) ?  (*((cfunc)->func))(self, NULL) :\
         (PY_VERSION_HEX >= 0x030600B1 && likely((cfunc)->flag == METH_FASTCALL) ?\
            (PY_VERSION_HEX >= 0x030700A0 ?\
                (*(__Pyx_PyCFunctionFast)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0) :\
                (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0, NULL)) :\
          (PY_VERSION_HEX >= 0x030700A0 && (cfunc)->flag == (METH_FASTCALL | METH_KEYWORDS) ?\
            (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0, NULL) :\
            (likely((cfunc)->flag == (METH_VARARGS | METH_KEYWORDS)) ?  ((*(PyCFunctionWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, __pyx_empty_tuple, NULL)) :\
               ((cfunc)->flag == METH_VARARGS ?  (*((cfunc)->func))(self, __pyx_empty_tuple) :\
               __Pyx__CallUnboundCMethod0(cfunc, self)))))) :\
        __Pyx__CallUnboundCMethod0(cfunc, self))
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#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);

/* 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);

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);

/* 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);

/* 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

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#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

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

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* CallNextTpTraverse.proto */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

/* CallNextTpClear.proto */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);

/* 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

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

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

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* 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_int(int value);

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value);

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

/* CIntFromPy.proto */
static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE unsigned char __Pyx_PyInt_As_unsigned_char(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_char(unsigned char value);

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(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)

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

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

/* CoroutineBase.proto */
typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
    PyObject *gi_weakreflist;
    PyObject *classobj;
    PyObject *yieldfrom;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static PyObject *__Pyx_Coroutine_Close(PyObject *self);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);

/* PatchModuleWithCoroutine.proto */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);

/* PatchGeneratorABC.proto */
static int __Pyx_patch_abc(void);

/* Generator.proto */
#define __Pyx_Generator_USED
static PyTypeObject *__pyx_GeneratorType = 0;
#define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(void);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

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

static PyObject *__pyx_f_9low_index_10_low_index_4Word__cat(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_other, struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_answer); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_4Word_repack(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_4Word_reduce(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_4Word_cyclically_reduce(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_11ReducedWord__next_letter(struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self, int __pyx_v_n); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_11ReducedWord__increment(struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_permutation_rep(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_is_complete(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph__is_complete(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_add_edge(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, int __pyx_v_letter, int __pyx_v_from_vertex, int __pyx_v_to_vertex); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_act_by(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, int __pyx_v_letter, int __pyx_v_vertex); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_lift(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_word, int __pyx_v_vertex, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_lift_inverse(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_word, int __pyx_v_vertex, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_16CoveringSubgraph_first_empty_slot(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static CYTHON_INLINE int __pyx_f_9low_index_10_low_index_16CoveringSubgraph__first_empty_slot(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsNode_clone(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsNode__copy_in_place(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_other); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsNode_sprout(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_manager); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsNode_relators_lift(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self, PyObject *__pyx_v_relators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsNode_relators_may_lift(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_child, PyObject *__pyx_v_relators); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsNode_may_be_minimal(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_11NodeManager_get_node(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_9low_index_10_low_index_11NodeManager_stack_is_empty(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_9low_index_10_low_index_11NodeManager_peek(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_11NodeManager_push(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_node); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_11NodeManager_pop(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_11NodeManager_recycle(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_node); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_9low_index_10_low_index_16SimsTreeIterator__next(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsTree_spin(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_word); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsTree_list_1p(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsTree_list_mp(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, struct __pyx_opt_args_9low_index_10_low_index_8SimsTree_list_mp *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_9low_index_10_low_index_8SimsTree_bloom(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_9low_index_10_low_index_8SimsTree_bloom *__pyx_optional_args); /* proto*/

/* Module declarations from 'cpython.mem' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdlib' */

/* Module declarations from 'low_index._low_index' */
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_Word = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_ReducedWord = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_ReducedWords = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_CyclicallyReducedWord = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_CoveringSubgraph = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_SimsNode = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_NodeManager = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_SimsTreeIterator = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index_SimsTree = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index___pyx_scope_struct__spin = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index___pyx_scope_struct_1_genexpr = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators = 0;
static PyTypeObject *__pyx_ptype_9low_index_10_low_index___pyx_scope_struct_3_genexpr = 0;
static PyObject *__pyx_f_9low_index_10_low_index___pyx_unpickle_ReducedWords__set_state(struct __pyx_obj_9low_index_10_low_index_ReducedWords *, PyObject *); /*proto*/
static PyObject *__pyx_f_9low_index_10_low_index___pyx_unpickle_NodeManager__set_state(struct __pyx_obj_9low_index_10_low_index_NodeManager *, PyObject *); /*proto*/
static PyObject *__pyx_f_9low_index_10_low_index___pyx_unpickle_SimsTreeIterator__set_state(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *, PyObject *); /*proto*/
#define __Pyx_MODULE_NAME "low_index._low_index"
extern int __pyx_module_is_main_low_index___low_index;
int __pyx_module_is_main_low_index___low_index = 0;

/* Implementation of 'low_index._low_index' */
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_StopIteration;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_sum;
static PyObject *__pyx_builtin_sorted;
static const char __pyx_k_d[] = "d";
static const char __pyx_k__2[] = ")";
static const char __pyx_k__3[] = "";
static const char __pyx_k_in[] = "in:";
static const char __pyx_k__12[] = "--";
static const char __pyx_k__13[] = "->";
static const char __pyx_k__14[] = "\n";
static const char __pyx_k_big[] = "big";
static const char __pyx_k_key[] = "__key__";
static const char __pyx_k_len[] = "len";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_out[] = "out:";
static const char __pyx_k_pop[] = "pop";
static const char __pyx_k_run[] = "run";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_PIPE[] = "PIPE";
static const char __pyx_k_Word[] = "Word(";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_copy[] = "__copy__";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_exit[] = "__exit__";
static const char __pyx_k_file[] = "__file__";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_json[] = "json";
static const char __pyx_k_lift[] = "lift";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_rank[] = "rank";
static const char __pyx_k_read[] = "read";
static const char __pyx_k_root[] = "root";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_sort[] = "sort";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_tree[] = "tree";
static const char __pyx_k_word[] = "word";
static const char __pyx_k_Popen[] = "Popen";
static const char __pyx_k_bloom[] = "bloom";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_dumps[] = "dumps";
static const char __pyx_k_enter[] = "__enter__";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_key_2[] = "key";
static const char __pyx_k_loads[] = "loads";
static const char __pyx_k_multi[] = "multi";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_Word_2[] = "Word";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_length[] = "length";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_rank_2[] = ", rank=";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_sorted[] = "sorted";
static const char __pyx_k_stdout[] = "stdout";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_use_mp[] = "use_mp";
static const char __pyx_k_vertex[] = "vertex";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_letters[] = "letters";
static const char __pyx_k_SimsNode[] = "SimsNode";
static const char __pyx_k_SimsTree[] = "SimsTree";
static const char __pyx_k_alphabet[] = "alphabet";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_incoming[] = "incoming";
static const char __pyx_k_outgoing[] = "outgoing";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_relators[] = "relators";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_strategy[] = "strategy";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_increment[] = "_increment";
static const char __pyx_k_low_index[] = "low_index";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_executable[] = "executable";
static const char __pyx_k_from_bytes[] = "from_bytes";
static const char __pyx_k_max_degree[] = "max_degree";
static const char __pyx_k_max_length[] = "max_length";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_spin_short[] = "spin_short";
static const char __pyx_k_subprocess[] = "subprocess";
static const char __pyx_k_NodeManager[] = "NodeManager";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_ReducedWord[] = "ReducedWord";
static const char __pyx_k_extra_space[] = "extra_space";
static const char __pyx_k_is_complete[] = "is_complete";
static const char __pyx_k_target_size[] = "target_size";
static const char __pyx_k_ReducedWords[] = "ReducedWords";
static const char __pyx_k_lift_indices[] = "lift_indices";
static const char __pyx_k_lift_inverse[] = "lift_inverse";
static const char __pyx_k_num_relators[] = "num_relators";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_StopIteration[] = "StopIteration";
static const char __pyx_k_lift_vertices[] = "lift_vertices";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_relators_lift[] = "relators_lift";
static const char __pyx_k_permutation_rep[] = "permutation_rep";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_CoveringSubgraph[] = "CoveringSubgraph";
static const char __pyx_k_SimsTreeIterator[] = "SimsTreeIterator";
static const char __pyx_k_first_empty_slot[] = "first_empty_slot";
static const char __pyx_k_num_long_relators[] = "num_long_relators";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_Covering_with_edges[] = "Covering with edges:\n";
static const char __pyx_k_SimsNode_with_edges[] = "SimsNode with edges:\n";
static const char __pyx_k_cython_profile_True[] = "# cython: profile=True";
static const char __pyx_k_spin_short_relators[] = "spin_short_relators";
static const char __pyx_k_low_index__low_index[] = "low_index._low_index";
static const char __pyx_k_CyclicallyReducedWord[] = "CyclicallyReducedWord";
static const char __pyx_k_pyx_unpickle_NodeManager[] = "__pyx_unpickle_NodeManager";
static const char __pyx_k_pyx_unpickle_ReducedWords[] = "__pyx_unpickle_ReducedWords";
static const char __pyx_k_Partial_covering_with_edges[] = "Partial covering with edges:\n";
static const char __pyx_k_The_graph_is_not_a_covering[] = "The graph is not a covering.";
static const char __pyx_k_SimsTree_spin_locals_genexpr[] = "SimsTree.spin.<locals>.genexpr";
static const char __pyx_k_pyx_unpickle_SimsTreeIterator[] = "__pyx_unpickle_SimsTreeIterator";
static const char __pyx_k_CyclicallyReducedWords_do_not_fo[] = "CyclicallyReducedWords do not form a semigroup.";
static const char __pyx_k_Incompatible_checksums_s_vs_0x4b[] = "Incompatible checksums (%s vs 0x4babde0 = (manager, max_degree, num_relators, rank))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xc2[] = "Incompatible checksums (%s vs 0xc233a18 = (current, max_length, rank))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xd6[] = "Incompatible checksums (%s vs 0xd6d02d0 = (cache, max_degree, num_relators, rank, stack, tree))";
static const char __pyx_k_Invalid_letter_0_must_be_non_zer[] = "Invalid letter {0}; must be non-zero and in [-{1},{1}]";
static const char __pyx_k_The_rank_must_be_a_positive_inte[] = "The rank must be a positive integer";
static const char __pyx_k_ZYXWVUTSRQPONMLKJIHGFEDCBA_abcde[] = "ZYXWVUTSRQPONMLKJIHGFEDCBA abcdefghijklnmopqrstuvwxyz";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_spin_short_relators_locals_genex[] = "spin_short_relators.<locals>.genexpr";
static PyObject *__pyx_n_s_CoveringSubgraph;
static PyObject *__pyx_kp_u_Covering_with_edges;
static PyObject *__pyx_n_s_CyclicallyReducedWord;
static PyObject *__pyx_kp_u_CyclicallyReducedWords_do_not_fo;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x4b;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xc2;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xd6;
static PyObject *__pyx_kp_u_Invalid_letter_0_must_be_non_zer;
static PyObject *__pyx_n_s_NodeManager;
static PyObject *__pyx_n_s_PIPE;
static PyObject *__pyx_kp_u_Partial_covering_with_edges;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_Popen;
static PyObject *__pyx_n_s_ReducedWord;
static PyObject *__pyx_n_s_ReducedWords;
static PyObject *__pyx_n_s_SimsNode;
static PyObject *__pyx_kp_u_SimsNode_with_edges;
static PyObject *__pyx_n_s_SimsTree;
static PyObject *__pyx_n_s_SimsTreeIterator;
static PyObject *__pyx_n_s_SimsTree_spin_locals_genexpr;
static PyObject *__pyx_n_s_StopIteration;
static PyObject *__pyx_kp_u_The_graph_is_not_a_covering;
static PyObject *__pyx_kp_u_The_rank_must_be_a_positive_inte;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_u_Word;
static PyObject *__pyx_n_s_Word_2;
static PyObject *__pyx_kp_u_ZYXWVUTSRQPONMLKJIHGFEDCBA_abcde;
static PyObject *__pyx_kp_u__12;
static PyObject *__pyx_kp_u__13;
static PyObject *__pyx_kp_u__14;
static PyObject *__pyx_kp_u__2;
static PyObject *__pyx_kp_b__3;
static PyObject *__pyx_kp_u__3;
static PyObject *__pyx_n_s_alphabet;
static PyObject *__pyx_n_s_append;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_u_big;
static PyObject *__pyx_n_s_bloom;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_close;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_u_d;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_dumps;
static PyObject *__pyx_n_s_enter;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_executable;
static PyObject *__pyx_n_s_exit;
static PyObject *__pyx_n_s_extra_space;
static PyObject *__pyx_n_s_file;
static PyObject *__pyx_n_s_first_empty_slot;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_from_bytes;
static PyObject *__pyx_n_s_genexpr;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_kp_u_in;
static PyObject *__pyx_n_s_incoming;
static PyObject *__pyx_n_s_increment;
static PyObject *__pyx_n_s_index;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_is_complete;
static PyObject *__pyx_n_s_json;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_s_key_2;
static PyObject *__pyx_n_s_len;
static PyObject *__pyx_n_s_length;
static PyObject *__pyx_n_s_letters;
static PyObject *__pyx_n_s_lift;
static PyObject *__pyx_n_s_lift_indices;
static PyObject *__pyx_n_s_lift_inverse;
static PyObject *__pyx_n_s_lift_vertices;
static PyObject *__pyx_n_s_loads;
static PyObject *__pyx_n_s_low_index;
static PyObject *__pyx_n_s_low_index__low_index;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max_degree;
static PyObject *__pyx_n_s_max_length;
static PyObject *__pyx_n_s_multi;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_num_long_relators;
static PyObject *__pyx_n_s_num_relators;
static PyObject *__pyx_kp_u_out;
static PyObject *__pyx_n_s_outgoing;
static PyObject *__pyx_n_s_permutation_rep;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_pop;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_NodeManager;
static PyObject *__pyx_n_s_pyx_unpickle_ReducedWords;
static PyObject *__pyx_n_s_pyx_unpickle_SimsTreeIterator;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rank;
static PyObject *__pyx_kp_u_rank_2;
static PyObject *__pyx_n_s_read;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_relators;
static PyObject *__pyx_n_s_relators_lift;
static PyObject *__pyx_n_s_root;
static PyObject *__pyx_n_s_run;
static PyObject *__pyx_n_s_send;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_sort;
static PyObject *__pyx_n_s_sorted;
static PyObject *__pyx_n_u_spin_short;
static PyObject *__pyx_n_s_spin_short_relators;
static PyObject *__pyx_n_s_spin_short_relators_locals_genex;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_stdout;
static PyObject *__pyx_n_s_strategy;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_subprocess;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_target_size;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_throw;
static PyObject *__pyx_n_s_tree;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_use_mp;
static PyObject *__pyx_n_s_vertex;
static PyObject *__pyx_n_s_word;
static int __pyx_pf_9low_index_10_low_index_4Word___cinit__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self, PyObject *__pyx_v_letters, int __pyx_v_rank, int __pyx_v_extra_space); /* proto */
static int __pyx_pf_9low_index_10_low_index_4Word_2__init__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self, PyObject *__pyx_v_letters, int __pyx_v_rank, CYTHON_UNUSED int __pyx_v_extra_space); /* proto */
static void __pyx_pf_9low_index_10_low_index_4Word_4__dealloc__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_pf_9low_index_10_low_index_4Word_6__len__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_8__repr__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_10__str__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_12__mul__(PyObject *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_4rank___get__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_4Word_4rank_2__set__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_6length___get__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_4Word_6length_2__set__(struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_14__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_4Word_16__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_Word *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9low_index_10_low_index_11ReducedWord___init__(struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self, PyObject *__pyx_v_letters, int __pyx_v_rank, CYTHON_UNUSED int __pyx_v_extra_space); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11ReducedWord_2_increment(struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11ReducedWord_4__copy__(struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11ReducedWord_6__mul__(PyObject *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11ReducedWord_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11ReducedWord_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9low_index_10_low_index_12ReducedWords___init__(struct __pyx_obj_9low_index_10_low_index_ReducedWords *__pyx_v_self, int __pyx_v_rank, int __pyx_v_max_length, struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_start); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_12ReducedWords_2__next__(struct __pyx_obj_9low_index_10_low_index_ReducedWords *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_12ReducedWords_4__iter__(struct __pyx_obj_9low_index_10_low_index_ReducedWords *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_12ReducedWords_6__reduce_cython__(struct __pyx_obj_9low_index_10_low_index_ReducedWords *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_12ReducedWords_8__setstate_cython__(struct __pyx_obj_9low_index_10_low_index_ReducedWords *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9low_index_10_low_index_21CyclicallyReducedWord___init__(struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord *__pyx_v_self, PyObject *__pyx_v_letters, int __pyx_v_rank, int __pyx_v_extra_space); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_21CyclicallyReducedWord_2__mul__(CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_21CyclicallyReducedWord_4__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_21CyclicallyReducedWord_6__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9low_index_10_low_index_16CoveringSubgraph___cinit__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, int __pyx_v_rank, int __pyx_v_max_degree, int __pyx_v_num_relators, PyObject *__pyx_v_outgoing, PyObject *__pyx_v_incoming, CYTHON_UNUSED PyObject *__pyx_v_lift_indices, CYTHON_UNUSED PyObject *__pyx_v_lift_vertices); /* proto */
static void __pyx_pf_9low_index_10_low_index_16CoveringSubgraph_2__dealloc__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_4__str__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_6__reduce__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_8_data(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_10__key__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static Py_hash_t __pyx_pf_9low_index_10_low_index_16CoveringSubgraph_12__hash__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_14__eq__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_16__lt__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_18permutation_rep(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_20is_complete(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_22lift(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_word, int __pyx_v_vertex); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_24lift_inverse(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_ReducedWord *__pyx_v_word, int __pyx_v_vertex); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_26first_empty_slot(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_4rank___get__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_16CoveringSubgraph_4rank_2__set__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_6degree___get__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_16CoveringSubgraph_6degree_2__set__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16CoveringSubgraph_10max_degree___get__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_16CoveringSubgraph_10max_degree_2__set__(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsNode___cinit__(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self, CYTHON_UNUSED int __pyx_v_rank, int __pyx_v_max_degree, int __pyx_v_num_relators, CYTHON_UNUSED PyObject *__pyx_v_outgoing, CYTHON_UNUSED PyObject *__pyx_v_incoming, PyObject *__pyx_v_lift_indices, PyObject *__pyx_v_lift_vertices); /* proto */
static void __pyx_pf_9low_index_10_low_index_8SimsNode_2__dealloc__(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsNode_4__str__(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsNode_6__reduce__(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsNode_8relators_lift(struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_self, PyObject *__pyx_v_relators); /* proto */
static int __pyx_pf_9low_index_10_low_index_11NodeManager___init__(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_tree); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11NodeManager_2__reduce_cython__(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_11NodeManager_4__setstate_cython__(struct __pyx_obj_9low_index_10_low_index_NodeManager *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9low_index_10_low_index_16SimsTreeIterator___init__(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_tree); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16SimsTreeIterator_2__next__(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16SimsTreeIterator_4__reduce_cython__(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_16SimsTreeIterator_6__setstate_cython__(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree___init__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, int __pyx_v_rank, int __pyx_v_max_degree, PyObject *__pyx_v_relators, PyObject *__pyx_v_strategy, PyObject *__pyx_v_root, int __pyx_v_num_long_relators); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_2__iter__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_4__reduce__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_6plant(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, struct __pyx_obj_9low_index_10_low_index_SimsNode *__pyx_v_node); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_4spin_genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_19spin_short_relators_genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_8spin_short_relators(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_relators); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_10list(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_use_mp); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_12bloom(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, int __pyx_v_target_size); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_4rank___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_4rank_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_10max_degree___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_10max_degree_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_4root___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_4root_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_4root_4__del__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_5nodes___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_5nodes_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_5nodes_4__del__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_8relators___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_8relators_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_8relators_4__del__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_15relator_strings___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_15relator_strings_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_15relator_strings_4__del__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_13long_relators___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_13long_relators_2__set__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9low_index_10_low_index_8SimsTree_13long_relators_4__del__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9low_index_10_low_index_8SimsTree_8strategy___get__(struct __pyx_obj_9low_index_10_low_index_SimsTree *__pyx_v_self); /* proto */
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  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_ReducedWord *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_9low_index_10_low_index_Word*)__pyx_vtabptr_9low_index_10_low_index_ReducedWord;
  return o;
}

static PyMethodDef __pyx_methods_9low_index_10_low_index_ReducedWord[] = {
  {"_increment", (PyCFunction)__pyx_pw_9low_index_10_low_index_11ReducedWord_3_increment, METH_NOARGS, __pyx_doc_9low_index_10_low_index_11ReducedWord_2_increment},
  {"__copy__", (PyCFunction)__pyx_pw_9low_index_10_low_index_11ReducedWord_5__copy__, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_11ReducedWord_9__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_11ReducedWord_11__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_ReducedWord = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  __pyx_pw_9low_index_10_low_index_11ReducedWord_7__mul__, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  0, /*nb_index*/
  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_matrix_multiply*/
  #endif
  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_inplace_matrix_multiply*/
  #endif
};

static PyTypeObject __pyx_type_9low_index_10_low_index_ReducedWord = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.ReducedWord", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_ReducedWord), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_Word, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_pw_9low_index_10_low_index_4Word_9__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  &__pyx_tp_as_number_ReducedWord, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_pw_9low_index_10_low_index_4Word_11__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_ReducedWord, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9low_index_10_low_index_11ReducedWord_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_ReducedWord, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_9low_index_10_low_index_ReducedWords(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_ReducedWords *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_ReducedWords *)o);
  p->current = ((struct __pyx_obj_9low_index_10_low_index_ReducedWord *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index_ReducedWords(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index_ReducedWords *p = (struct __pyx_obj_9low_index_10_low_index_ReducedWords *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->current);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_9low_index_10_low_index_ReducedWords(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index_ReducedWords *p = (struct __pyx_obj_9low_index_10_low_index_ReducedWords *)o;
  if (p->current) {
    e = (*v)(((PyObject *)p->current), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9low_index_10_low_index_ReducedWords(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9low_index_10_low_index_ReducedWords *p = (struct __pyx_obj_9low_index_10_low_index_ReducedWords *)o;
  tmp = ((PyObject*)p->current);
  p->current = ((struct __pyx_obj_9low_index_10_low_index_ReducedWord *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_specialmethod___pyx_pw_9low_index_10_low_index_12ReducedWords_3__next__(PyObject *self, CYTHON_UNUSED PyObject *arg) {return __pyx_pw_9low_index_10_low_index_12ReducedWords_3__next__(self);}

static PyMethodDef __pyx_methods_9low_index_10_low_index_ReducedWords[] = {
  {"__next__", (PyCFunction)__pyx_specialmethod___pyx_pw_9low_index_10_low_index_12ReducedWords_3__next__, METH_NOARGS|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_12ReducedWords_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_12ReducedWords_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_9low_index_10_low_index_ReducedWords = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.ReducedWords", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_ReducedWords), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_ReducedWords, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Iterator for reduced words of a given rank with bounded length.\n    ", /*tp_doc*/
  __pyx_tp_traverse_9low_index_10_low_index_ReducedWords, /*tp_traverse*/
  __pyx_tp_clear_9low_index_10_low_index_ReducedWords, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  __pyx_pw_9low_index_10_low_index_12ReducedWords_5__iter__, /*tp_iter*/
  __pyx_pw_9low_index_10_low_index_12ReducedWords_3__next__, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_ReducedWords, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9low_index_10_low_index_12ReducedWords_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_ReducedWords, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9low_index_10_low_index_CyclicallyReducedWord __pyx_vtable_9low_index_10_low_index_CyclicallyReducedWord;

static PyObject *__pyx_tp_new_9low_index_10_low_index_CyclicallyReducedWord(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord *p;
  PyObject *o = __pyx_tp_new_9low_index_10_low_index_ReducedWord(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord *)o);
  p->__pyx_base.__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_9low_index_10_low_index_Word*)__pyx_vtabptr_9low_index_10_low_index_CyclicallyReducedWord;
  return o;
}

static PyMethodDef __pyx_methods_9low_index_10_low_index_CyclicallyReducedWord[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_21CyclicallyReducedWord_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_21CyclicallyReducedWord_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_CyclicallyReducedWord = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  __pyx_pw_9low_index_10_low_index_21CyclicallyReducedWord_3__mul__, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  0, /*nb_index*/
  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_matrix_multiply*/
  #endif
  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_inplace_matrix_multiply*/
  #endif
};

static PyTypeObject __pyx_type_9low_index_10_low_index_CyclicallyReducedWord = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.CyclicallyReducedWord", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_CyclicallyReducedWord), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_Word, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_pw_9low_index_10_low_index_4Word_9__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  &__pyx_tp_as_number_CyclicallyReducedWord, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_pw_9low_index_10_low_index_4Word_11__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_CyclicallyReducedWord, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9low_index_10_low_index_21CyclicallyReducedWord_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_CyclicallyReducedWord, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9low_index_10_low_index_CoveringSubgraph __pyx_vtable_9low_index_10_low_index_CoveringSubgraph;

static PyObject *__pyx_tp_new_9low_index_10_low_index_CoveringSubgraph(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph *)o);
  p->__pyx_vtab = __pyx_vtabptr_9low_index_10_low_index_CoveringSubgraph;
  if (unlikely(__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_9low_index_10_low_index_CoveringSubgraph(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_3__dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_tp_richcompare_9low_index_10_low_index_CoveringSubgraph(PyObject *o1, PyObject *o2, int op) {
  switch (op) {
    case Py_EQ: {
      return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_15__eq__(o1, o2);
    }
    case Py_LT: {
      return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_17__lt__(o1, o2);
    }
    case Py_NE: {
      PyObject *ret;
      ret = __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_15__eq__(o1, o2);
      if (likely(ret && ret != Py_NotImplemented)) {
        int b = __Pyx_PyObject_IsTrue(ret); Py_DECREF(ret);
        if (unlikely(b < 0)) return NULL;
        ret = (b) ? Py_False : Py_True;
        Py_INCREF(ret);
      }
      return ret;
    }
    default: {
      return __Pyx_NewRef(Py_NotImplemented);
    }
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_16CoveringSubgraph_rank(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_4rank_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_16CoveringSubgraph_rank(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_4rank_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_16CoveringSubgraph_degree(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_6degree_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_16CoveringSubgraph_degree(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_6degree_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_16CoveringSubgraph_max_degree(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_10max_degree_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_16CoveringSubgraph_max_degree(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_10max_degree_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyMethodDef __pyx_methods_9low_index_10_low_index_CoveringSubgraph[] = {
  {"__reduce__", (PyCFunction)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_7__reduce__, METH_NOARGS, 0},
  {"_data", (PyCFunction)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_9_data, METH_NOARGS, 0},
  {"__key__", (PyCFunction)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_11__key__, METH_NOARGS, 0},
  {"permutation_rep", (PyCFunction)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_19permutation_rep, METH_NOARGS, __pyx_doc_9low_index_10_low_index_16CoveringSubgraph_18permutation_rep},
  {"is_complete", (PyCFunction)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_21is_complete, METH_NOARGS, 0},
  {"lift", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_23lift, METH_VARARGS|METH_KEYWORDS, 0},
  {"lift_inverse", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_25lift_inverse, METH_VARARGS|METH_KEYWORDS, 0},
  {"first_empty_slot", (PyCFunction)__pyx_pw_9low_index_10_low_index_16CoveringSubgraph_27first_empty_slot, METH_NOARGS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_9low_index_10_low_index_CoveringSubgraph[] = {
  {(char *)"rank", __pyx_getprop_9low_index_10_low_index_16CoveringSubgraph_rank, __pyx_setprop_9low_index_10_low_index_16CoveringSubgraph_rank, (char *)0, 0},
  {(char *)"degree", __pyx_getprop_9low_index_10_low_index_16CoveringSubgraph_degree, __pyx_setprop_9low_index_10_low_index_16CoveringSubgraph_degree, (char *)0, 0},
  {(char *)"max_degree", __pyx_getprop_9low_index_10_low_index_16CoveringSubgraph_max_degree, __pyx_setprop_9low_index_10_low_index_16CoveringSubgraph_max_degree, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_9low_index_10_low_index_CoveringSubgraph = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.CoveringSubgraph", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_CoveringSubgraph), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_CoveringSubgraph, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_13__hash__, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_9low_index_10_low_index_16CoveringSubgraph_5__str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  __pyx_tp_richcompare_9low_index_10_low_index_CoveringSubgraph, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_CoveringSubgraph, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9low_index_10_low_index_CoveringSubgraph, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_CoveringSubgraph, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9low_index_10_low_index_SimsNode __pyx_vtable_9low_index_10_low_index_SimsNode;

static PyObject *__pyx_tp_new_9low_index_10_low_index_SimsNode(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_SimsNode *p;
  PyObject *o = __pyx_tp_new_9low_index_10_low_index_CoveringSubgraph(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_SimsNode *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_9low_index_10_low_index_CoveringSubgraph*)__pyx_vtabptr_9low_index_10_low_index_SimsNode;
  p->children = ((PyObject*)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_9low_index_10_low_index_8SimsNode_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_9low_index_10_low_index_SimsNode(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index_SimsNode *p = (struct __pyx_obj_9low_index_10_low_index_SimsNode *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_pw_9low_index_10_low_index_8SimsNode_3__dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->children);
  #if CYTHON_USE_TYPE_SLOTS
  if (PyType_IS_GC(Py_TYPE(o)->tp_base))
  #endif
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_9low_index_10_low_index_CoveringSubgraph(o);
}

static int __pyx_tp_traverse_9low_index_10_low_index_SimsNode(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index_SimsNode *p = (struct __pyx_obj_9low_index_10_low_index_SimsNode *)o;
  e = ((likely(__pyx_ptype_9low_index_10_low_index_CoveringSubgraph)) ? ((__pyx_ptype_9low_index_10_low_index_CoveringSubgraph->tp_traverse) ? __pyx_ptype_9low_index_10_low_index_CoveringSubgraph->tp_traverse(o, v, a) : 0) : __Pyx_call_next_tp_traverse(o, v, a, __pyx_tp_traverse_9low_index_10_low_index_SimsNode)); if (e) return e;
  if (p->children) {
    e = (*v)(p->children, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9low_index_10_low_index_SimsNode(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9low_index_10_low_index_SimsNode *p = (struct __pyx_obj_9low_index_10_low_index_SimsNode *)o;
  if (likely(__pyx_ptype_9low_index_10_low_index_CoveringSubgraph)) { if (__pyx_ptype_9low_index_10_low_index_CoveringSubgraph->tp_clear) __pyx_ptype_9low_index_10_low_index_CoveringSubgraph->tp_clear(o); } else __Pyx_call_next_tp_clear(o, __pyx_tp_clear_9low_index_10_low_index_SimsNode);
  tmp = ((PyObject*)p->children);
  p->children = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_9low_index_10_low_index_SimsNode[] = {
  {"__reduce__", (PyCFunction)__pyx_pw_9low_index_10_low_index_8SimsNode_7__reduce__, METH_NOARGS, 0},
  {"relators_lift", (PyCFunction)__pyx_pw_9low_index_10_low_index_8SimsNode_9relators_lift, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_9low_index_10_low_index_SimsNode = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.SimsNode", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_SimsNode), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_SimsNode, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_9low_index_10_low_index_8SimsNode_5__str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9low_index_10_low_index_SimsNode, /*tp_traverse*/
  __pyx_tp_clear_9low_index_10_low_index_SimsNode, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_SimsNode, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_SimsNode, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9low_index_10_low_index_NodeManager __pyx_vtable_9low_index_10_low_index_NodeManager;

static PyObject *__pyx_tp_new_9low_index_10_low_index_NodeManager(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_NodeManager *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_NodeManager *)o);
  p->__pyx_vtab = __pyx_vtabptr_9low_index_10_low_index_NodeManager;
  p->tree = ((struct __pyx_obj_9low_index_10_low_index_SimsTree *)Py_None); Py_INCREF(Py_None);
  p->stack = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->cache = ((PyObject*)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index_NodeManager(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index_NodeManager *p = (struct __pyx_obj_9low_index_10_low_index_NodeManager *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->tree);
  Py_CLEAR(p->stack);
  Py_CLEAR(p->cache);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_9low_index_10_low_index_NodeManager(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index_NodeManager *p = (struct __pyx_obj_9low_index_10_low_index_NodeManager *)o;
  if (p->tree) {
    e = (*v)(((PyObject *)p->tree), a); if (e) return e;
  }
  if (p->stack) {
    e = (*v)(p->stack, a); if (e) return e;
  }
  if (p->cache) {
    e = (*v)(p->cache, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9low_index_10_low_index_NodeManager(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9low_index_10_low_index_NodeManager *p = (struct __pyx_obj_9low_index_10_low_index_NodeManager *)o;
  tmp = ((PyObject*)p->tree);
  p->tree = ((struct __pyx_obj_9low_index_10_low_index_SimsTree *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->stack);
  p->stack = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->cache);
  p->cache = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_9low_index_10_low_index_NodeManager[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_11NodeManager_3__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_11NodeManager_5__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_9low_index_10_low_index_NodeManager = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.NodeManager", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_NodeManager), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_NodeManager, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9low_index_10_low_index_NodeManager, /*tp_traverse*/
  __pyx_tp_clear_9low_index_10_low_index_NodeManager, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_NodeManager, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9low_index_10_low_index_11NodeManager_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_NodeManager, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9low_index_10_low_index_SimsTreeIterator __pyx_vtable_9low_index_10_low_index_SimsTreeIterator;

static PyObject *__pyx_tp_new_9low_index_10_low_index_SimsTreeIterator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *)o);
  p->__pyx_vtab = __pyx_vtabptr_9low_index_10_low_index_SimsTreeIterator;
  p->manager = ((struct __pyx_obj_9low_index_10_low_index_NodeManager *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index_SimsTreeIterator(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *p = (struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->manager);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_9low_index_10_low_index_SimsTreeIterator(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *p = (struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *)o;
  if (p->manager) {
    e = (*v)(((PyObject *)p->manager), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9low_index_10_low_index_SimsTreeIterator(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *p = (struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator *)o;
  tmp = ((PyObject*)p->manager);
  p->manager = ((struct __pyx_obj_9low_index_10_low_index_NodeManager *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_specialmethod___pyx_pw_9low_index_10_low_index_16SimsTreeIterator_3__next__(PyObject *self, CYTHON_UNUSED PyObject *arg) {return __pyx_pw_9low_index_10_low_index_16SimsTreeIterator_3__next__(self);}

static PyMethodDef __pyx_methods_9low_index_10_low_index_SimsTreeIterator[] = {
  {"__next__", (PyCFunction)__pyx_specialmethod___pyx_pw_9low_index_10_low_index_16SimsTreeIterator_3__next__, METH_NOARGS|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_16SimsTreeIterator_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9low_index_10_low_index_16SimsTreeIterator_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_9low_index_10_low_index_SimsTreeIterator = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.SimsTreeIterator", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_SimsTreeIterator), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_SimsTreeIterator, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9low_index_10_low_index_SimsTreeIterator, /*tp_traverse*/
  __pyx_tp_clear_9low_index_10_low_index_SimsTreeIterator, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  __pyx_pw_9low_index_10_low_index_16SimsTreeIterator_3__next__, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_SimsTreeIterator, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9low_index_10_low_index_16SimsTreeIterator_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_SimsTreeIterator, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9low_index_10_low_index_SimsTree __pyx_vtable_9low_index_10_low_index_SimsTree;

static PyObject *__pyx_tp_new_9low_index_10_low_index_SimsTree(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9low_index_10_low_index_SimsTree *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9low_index_10_low_index_SimsTree *)o);
  p->__pyx_vtab = __pyx_vtabptr_9low_index_10_low_index_SimsTree;
  p->root = ((struct __pyx_obj_9low_index_10_low_index_SimsNode *)Py_None); Py_INCREF(Py_None);
  p->nodes = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->relators = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->relator_strings = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->long_relators = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->strategy = ((PyObject*)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index_SimsTree(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index_SimsTree *p = (struct __pyx_obj_9low_index_10_low_index_SimsTree *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->root);
  Py_CLEAR(p->nodes);
  Py_CLEAR(p->relators);
  Py_CLEAR(p->relator_strings);
  Py_CLEAR(p->long_relators);
  Py_CLEAR(p->strategy);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_9low_index_10_low_index_SimsTree(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index_SimsTree *p = (struct __pyx_obj_9low_index_10_low_index_SimsTree *)o;
  if (p->root) {
    e = (*v)(((PyObject *)p->root), a); if (e) return e;
  }
  if (p->nodes) {
    e = (*v)(p->nodes, a); if (e) return e;
  }
  if (p->relators) {
    e = (*v)(p->relators, a); if (e) return e;
  }
  if (p->relator_strings) {
    e = (*v)(p->relator_strings, a); if (e) return e;
  }
  if (p->long_relators) {
    e = (*v)(p->long_relators, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9low_index_10_low_index_SimsTree(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9low_index_10_low_index_SimsTree *p = (struct __pyx_obj_9low_index_10_low_index_SimsTree *)o;
  tmp = ((PyObject*)p->root);
  p->root = ((struct __pyx_obj_9low_index_10_low_index_SimsNode *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->nodes);
  p->nodes = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->relators);
  p->relators = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->relator_strings);
  p->relator_strings = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->long_relators);
  p->long_relators = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_rank(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_4rank_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_rank(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_4rank_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_max_degree(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_10max_degree_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_max_degree(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_10max_degree_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_root(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_4root_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_root(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_4root_3__set__(o, v);
  }
  else {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_4root_5__del__(o);
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_nodes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_5nodes_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_nodes(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_5nodes_3__set__(o, v);
  }
  else {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_5nodes_5__del__(o);
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_relators(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_8relators_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_relators(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_8relators_3__set__(o, v);
  }
  else {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_8relators_5__del__(o);
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_relator_strings(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_15relator_strings_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_relator_strings(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_15relator_strings_3__set__(o, v);
  }
  else {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_15relator_strings_5__del__(o);
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_long_relators(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_13long_relators_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_long_relators(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_13long_relators_3__set__(o, v);
  }
  else {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_13long_relators_5__del__(o);
  }
}

static PyObject *__pyx_getprop_9low_index_10_low_index_8SimsTree_strategy(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9low_index_10_low_index_8SimsTree_8strategy_1__get__(o);
}

static int __pyx_setprop_9low_index_10_low_index_8SimsTree_strategy(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_8strategy_3__set__(o, v);
  }
  else {
    return __pyx_pw_9low_index_10_low_index_8SimsTree_8strategy_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_9low_index_10_low_index_SimsTree[] = {
  {"__reduce__", (PyCFunction)__pyx_pw_9low_index_10_low_index_8SimsTree_5__reduce__, METH_NOARGS, 0},
  {"plant", (PyCFunction)__pyx_pw_9low_index_10_low_index_8SimsTree_7plant, METH_O, __pyx_doc_9low_index_10_low_index_8SimsTree_6plant},
  {"spin_short_relators", (PyCFunction)__pyx_pw_9low_index_10_low_index_8SimsTree_9spin_short_relators, METH_O, 0},
  {"list", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9low_index_10_low_index_8SimsTree_11list, METH_VARARGS|METH_KEYWORDS, 0},
  {"bloom", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9low_index_10_low_index_8SimsTree_13bloom, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9low_index_10_low_index_8SimsTree_12bloom},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_9low_index_10_low_index_SimsTree[] = {
  {(char *)"rank", __pyx_getprop_9low_index_10_low_index_8SimsTree_rank, __pyx_setprop_9low_index_10_low_index_8SimsTree_rank, (char *)0, 0},
  {(char *)"max_degree", __pyx_getprop_9low_index_10_low_index_8SimsTree_max_degree, __pyx_setprop_9low_index_10_low_index_8SimsTree_max_degree, (char *)0, 0},
  {(char *)"root", __pyx_getprop_9low_index_10_low_index_8SimsTree_root, __pyx_setprop_9low_index_10_low_index_8SimsTree_root, (char *)0, 0},
  {(char *)"nodes", __pyx_getprop_9low_index_10_low_index_8SimsTree_nodes, __pyx_setprop_9low_index_10_low_index_8SimsTree_nodes, (char *)0, 0},
  {(char *)"relators", __pyx_getprop_9low_index_10_low_index_8SimsTree_relators, __pyx_setprop_9low_index_10_low_index_8SimsTree_relators, (char *)0, 0},
  {(char *)"relator_strings", __pyx_getprop_9low_index_10_low_index_8SimsTree_relator_strings, __pyx_setprop_9low_index_10_low_index_8SimsTree_relator_strings, (char *)0, 0},
  {(char *)"long_relators", __pyx_getprop_9low_index_10_low_index_8SimsTree_long_relators, __pyx_setprop_9low_index_10_low_index_8SimsTree_long_relators, (char *)0, 0},
  {(char *)"strategy", __pyx_getprop_9low_index_10_low_index_8SimsTree_strategy, __pyx_setprop_9low_index_10_low_index_8SimsTree_strategy, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_9low_index_10_low_index_SimsTree = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.SimsTree", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index_SimsTree), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index_SimsTree, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    A \"tree\" of SimsNodes constructed by Sims algorithm.  Each\n    SimsNode in the tree is constructed by adding edges to its parent in\n    such a way that every relation that can be lifted lifts to a loop.  (It is\n    allowed for a relation to fail to lift because an edge is missing from the\n    subgraph.)\n\n    Implementation note: The collection of all graphs produced by Sims algorithm\n    can be viewed as a tree, where the children of a node are obtained by adding\n    one edge at the first empty slot.  However, only the tips of the tree are of\n    interest.  So we can implement the \"tree\" as a python list.  Each pass\n    through the loop in the (currently unused) bloom method generates a new list\n    by replacing each subgraph by a list of subgraphs obtained by adding edges.\n    This turns out to be very memory intensive, since these lists grow very\n    large before finally collapsing at the end of the computation.  We also\n    provide an iterator which iterates through the tips of the tree while using\n    a constant amount of memory.  The depth of the tree is bounded by the number\n    of edges in a cover of the maximal allowed degree.  Traversal of the tree in\n    depth-first order only requires a stack of size equal to the maximum depth.\n\n    >>> from low_index import *\n    >>> t = SimsTree(rank=1, max_degree=3).list()\n    >>> len(t)\n    3\n    >>> for g in t: print(g)\n    ...\n    SimsNode with edges:\n    1--1->2\n    2--1->3\n    3--1->1\n    SimsNode with edges:\n    1--1->2\n    2--1->1\n    SimsNode with edges:\n    1--1->1\n    >>> t = SimsTree(rank=2, max_degree=3).list()\n    >>> len(t)\n    11\n    >>> print(t[7])\n    SimsNode with edges:\n    1--1->1\n    1--2->2\n    2--1->3\n    2--2->3\n    3--1->2\n    3--2->1\n    >>> S7_relators = ['aaaaaaa', 'bb', 'abababababab', 'AbabAbabAbab',                       'AAbaabAAbaab', 'AAAbaaabAAAbaaab']\n    >>> len(SimsTree(2, 20, S7_relators).list())\n    4\n    >>> len(SimsTree(""2, 20, S7_relators, num_long_relators=1).list())\n    4\n    ", /*tp_doc*/
  __pyx_tp_traverse_9low_index_10_low_index_SimsTree, /*tp_traverse*/
  __pyx_tp_clear_9low_index_10_low_index_SimsTree, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  __pyx_pw_9low_index_10_low_index_8SimsTree_3__iter__, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9low_index_10_low_index_SimsTree, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9low_index_10_low_index_SimsTree, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9low_index_10_low_index_8SimsTree_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9low_index_10_low_index_SimsTree, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin *__pyx_freelist_9low_index_10_low_index___pyx_scope_struct__spin[8];
static int __pyx_freecount_9low_index_10_low_index___pyx_scope_struct__spin = 0;

static PyObject *__pyx_tp_new_9low_index_10_low_index___pyx_scope_struct__spin(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct__spin > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin)))) {
    o = (PyObject*)__pyx_freelist_9low_index_10_low_index___pyx_scope_struct__spin[--__pyx_freecount_9low_index_10_low_index___pyx_scope_struct__spin];
    memset(o, 0, sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin));
    (void) PyObject_INIT(o, t);
  } else {
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    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct__spin(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin *p = (struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin *)o;
  Py_CLEAR(p->__pyx_v_word);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct__spin < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin)))) {
    __pyx_freelist_9low_index_10_low_index___pyx_scope_struct__spin[__pyx_freecount_9low_index_10_low_index___pyx_scope_struct__spin++] = ((struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static PyTypeObject __pyx_type_9low_index_10_low_index___pyx_scope_struct__spin = {
  PyVarObject_HEAD_INIT(0, 0)
  "low_index._low_index.__pyx_scope_struct__spin", /*tp_name*/
  sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct__spin), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct__spin, /*tp_dealloc*/
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  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER, /*tp_flags*/
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  0, /*tp_pypy_flags*/
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};

static struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr *__pyx_freelist_9low_index_10_low_index___pyx_scope_struct_1_genexpr[8];
static int __pyx_freecount_9low_index_10_low_index___pyx_scope_struct_1_genexpr = 0;

static PyObject *__pyx_tp_new_9low_index_10_low_index___pyx_scope_struct_1_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_1_genexpr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9low_index_10_low_index___pyx_scope_struct_1_genexpr[--__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_1_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct_1_genexpr(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_outer_scope);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_1_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr)))) {
    __pyx_freelist_9low_index_10_low_index___pyx_scope_struct_1_genexpr[__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_1_genexpr++] = ((struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9low_index_10_low_index___pyx_scope_struct_1_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_1_genexpr *)o;
  if (p->__pyx_outer_scope) {
    e = (*v)(((PyObject *)p->__pyx_outer_scope), a); if (e) return e;
  }
  return 0;
}

static PyTypeObject __pyx_type_9low_index_10_low_index___pyx_scope_struct_1_genexpr = {
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  __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct_1_genexpr, /*tp_dealloc*/
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};

static struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *__pyx_freelist_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators[8];
static int __pyx_freecount_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators = 0;

static PyObject *__pyx_tp_new_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators)))) {
    o = (PyObject*)__pyx_freelist_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators[--__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators];
    memset(o, 0, sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators(PyObject *o) {
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *p = (struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_relators);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators)))) {
    __pyx_freelist_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators[__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators++] = ((struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *p = (struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *)o;
  if (p->__pyx_v_relators) {
    e = (*v)(p->__pyx_v_relators, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *p = (struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators *)o;
  tmp = ((PyObject*)p->__pyx_v_relators);
  p->__pyx_v_relators = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators = {
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  sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
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  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
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  __pyx_tp_traverse_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators, /*tp_traverse*/
  __pyx_tp_clear_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators, /*tp_clear*/
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  __pyx_tp_new_9low_index_10_low_index___pyx_scope_struct_2_spin_short_relators, /*tp_new*/
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};

static struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_3_genexpr *__pyx_freelist_9low_index_10_low_index___pyx_scope_struct_3_genexpr[8];
static int __pyx_freecount_9low_index_10_low_index___pyx_scope_struct_3_genexpr = 0;

static PyObject *__pyx_tp_new_9low_index_10_low_index___pyx_scope_struct_3_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_3_genexpr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_3_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9low_index_10_low_index___pyx_scope_struct_3_genexpr[--__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_3_genexpr];
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    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
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  return o;
}

static void __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct_3_genexpr(PyObject *o) {
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  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_r);
  Py_CLEAR(p->__pyx_t_0);
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    __pyx_freelist_9low_index_10_low_index___pyx_scope_struct_3_genexpr[__pyx_freecount_9low_index_10_low_index___pyx_scope_struct_3_genexpr++] = ((struct __pyx_obj_9low_index_10_low_index___pyx_scope_struct_3_genexpr *)o);
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}

static int __pyx_tp_traverse_9low_index_10_low_index___pyx_scope_struct_3_genexpr(PyObject *o, visitproc v, void *a) {
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  }
  if (p->__pyx_v_r) {
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  }
  if (p->__pyx_t_0) {
    e = (*v)(p->__pyx_t_0, a); if (e) return e;
  }
  return 0;
}

static PyTypeObject __pyx_type_9low_index_10_low_index___pyx_scope_struct_3_genexpr = {
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  __pyx_tp_dealloc_9low_index_10_low_index___pyx_scope_struct_3_genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
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  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
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  __pyx_tp_traverse_9low_index_10_low_index___pyx_scope_struct_3_genexpr, /*tp_traverse*/
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  #if PY_VERSION_HEX >= 0x030400a1
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            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(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_subtract(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_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

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

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyCFunctionFastCall */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

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

/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (__Pyx_PyFastCFunction_Check(func)) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#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));
}

/* 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

/* PyObjectFormatAndDecref */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyString_CheckExact(s))) {
        PyObject *result = PyUnicode_FromEncodedObject(s, NULL, "strict");
        Py_DECREF(s);
        return result;
    }
    #endif
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}

/* CIntToDigits */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
#if CYTHON_PEP393_ENABLED
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
#else
    Py_UNICODE *udata;
    uval = PyUnicode_FromUnicode(NULL, ulength);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_AS_UNICODE(uval);
#endif
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp;
                    PyObject *repeat = PyInt_FromSize_t(uoffset - prepend_sign);
                    if (unlikely(!repeat)) goto done_or_error;
                    tmp = PyNumber_Multiply(padding, repeat);
                    Py_DECREF(repeat);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyNumber_Add(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyNumber_Add(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    if (last_one_off) {
        assert(*dpos == '0');
        dpos++;
    }
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      CYTHON_UNUSED Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind;
    Py_ssize_t i, char_pos;
    void *result_udata;
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely(char_pos + ulength < 0))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + char_pos * result_ukind, udata, (size_t) (ulength * result_ukind));
        } else {
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    result_ulength++;
    value_count++;
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

/* 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

/* 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

/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* GetAttr3 */
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* bytes_index */
static CYTHON_INLINE char __Pyx_PyBytes_GetItemInt(PyObject* bytes, Py_ssize_t index, int check_bounds) {
    if (index < 0)
        index += PyBytes_GET_SIZE(bytes);
    if (check_bounds) {
        Py_ssize_t size = PyBytes_GET_SIZE(bytes);
        if (unlikely(!__Pyx_is_valid_index(index, size))) {
            PyErr_SetString(PyExc_IndexError, "string index out of range");
            return (char) -1;
        }
    }
    return PyBytes_AS_STRING(bytes)[index];
}

/* PyUnicode_Substring */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Substring(
            PyObject* text, Py_ssize_t start, Py_ssize_t stop) {
    Py_ssize_t length;
    if (unlikely(__Pyx_PyUnicode_READY(text) == -1)) return NULL;
    length = __Pyx_PyUnicode_GET_LENGTH(text);
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    if (stop <= start)
        return __Pyx_NewRef(__pyx_empty_unicode);
#if CYTHON_PEP393_ENABLED
    return PyUnicode_FromKindAndData(PyUnicode_KIND(text),
        PyUnicode_1BYTE_DATA(text) + start*PyUnicode_KIND(text), stop-start);
#else
    return PyUnicode_FromUnicode(PyUnicode_AS_UNICODE(text)+start, stop-start);
#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;
}

/* 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;
}

/* 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;
}

/* UnpackUnboundCMethod */
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    target->method = method;
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION >= 3
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    }
#endif
    return 0;
}

/* CallUnboundCMethod0 */
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_ASSUME_SAFE_MACROS
    args = PyTuple_New(1);
    if (unlikely(!args)) goto bad;
    Py_INCREF(self);
    PyTuple_SET_ITEM(args, 0, self);
#else
    args = PyTuple_Pack(1, self);
    if (unlikely(!args)) goto bad;
#endif
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    Py_DECREF(args);
bad:
    return result;
}

/* pop */
static CYTHON_INLINE PyObject* __Pyx__PyObject_Pop(PyObject* L) {
    if (Py_TYPE(L) == &PySet_Type) {
        return PySet_Pop(L);
    }
    return __Pyx_PyObject_CallMethod0(L, __pyx_n_s_pop);
}
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE PyObject* __Pyx_PyList_Pop(PyObject* L) {
    if (likely(PyList_GET_SIZE(L) > (((PyListObject*)L)->allocated >> 1))) {
        __Pyx_SET_SIZE(L, Py_SIZE(L) - 1);
        return PyList_GET_ITEM(L, PyList_GET_SIZE(L));
    }
    return __Pyx_CallUnboundCMethod0(&__pyx_umethod_PyList_Type_pop, L);
}
#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;
}

/* 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);
}

/* 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;
}

/* 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;
}

/* 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 ((1) && (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;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* HasAttr */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* CallNextTpTraverse */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    while (type && type->tp_traverse == current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_traverse)
        return type->tp_traverse(obj, v, a);
    return 0;
}

/* CallNextTpClear */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    while (type && type->tp_clear == current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_clear)
        type->tp_clear(obj);
}

/* 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

/* PyObject_GenericGetAttr */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* SetVTable */
static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* PyObjectGetAttrStrNoError */
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
}

/* SetupReduce */
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED 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;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
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 = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    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);
}

/* 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;\
    }

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= 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(int),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } 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;
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } 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;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const short neg_one = (short) -1, const_zero = (short) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(short) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(short) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(short) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(short) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(short) <= 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(short),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const short neg_one = (short) -1, const_zero = (short) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(short) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(short, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (short) 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 (short) 0;
                case  1: __PYX_VERIFY_RETURN_INT(short, digit, digits[0])
                case 2:
                    if (8 * sizeof(short) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) >= 2 * PyLong_SHIFT) {
                            return (short) (((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(short) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) >= 3 * PyLong_SHIFT) {
                            return (short) (((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(short) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, 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(short) >= 4 * PyLong_SHIFT) {
                            return (short) (((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)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 (short) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(short) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(short) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, 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 (short) 0;
                case -1: __PYX_VERIFY_RETURN_INT(short, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(short,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(short) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
                            return (short) (((short)-1)*(((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(short) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
                            return (short) ((((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
                            return (short) (((short)-1)*(((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(short) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
                            return (short) ((((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, 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(short) - 1 > 4 * PyLong_SHIFT) {
                            return (short) (((short)-1)*(((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(short) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, 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(short) - 1 > 4 * PyLong_SHIFT) {
                            return (short) ((((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(short) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(short) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, 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
            short 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 (short) -1;
        }
    } else {
        short val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (short) -1;
        val = __Pyx_PyInt_As_short(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to short");
    return (short) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to short");
    return (short) -1;
}

/* CIntFromPy */
static CYTHON_INLINE unsigned char __Pyx_PyInt_As_unsigned_char(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const unsigned char neg_one = (unsigned char) -1, const_zero = (unsigned char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(unsigned char) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(unsigned char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (unsigned char) 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 (unsigned char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(unsigned char, digit, digits[0])
                case 2:
                    if (8 * sizeof(unsigned char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned char) >= 2 * PyLong_SHIFT) {
                            return (unsigned char) (((((unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(unsigned char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned char) >= 3 * PyLong_SHIFT) {
                            return (unsigned char) (((((((unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(unsigned char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, 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(unsigned char) >= 4 * PyLong_SHIFT) {
                            return (unsigned char) (((((((((unsigned char)digits[3]) << PyLong_SHIFT) | (unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)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 (unsigned char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(unsigned char) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(unsigned char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, 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 (unsigned char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(unsigned char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(unsigned char,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(unsigned char) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned char) - 1 > 2 * PyLong_SHIFT) {
                            return (unsigned char) (((unsigned char)-1)*(((((unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(unsigned char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned char) - 1 > 2 * PyLong_SHIFT) {
                            return (unsigned char) ((((((unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(unsigned char) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned char) - 1 > 3 * PyLong_SHIFT) {
                            return (unsigned char) (((unsigned char)-1)*(((((((unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(unsigned char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned char) - 1 > 3 * PyLong_SHIFT) {
                            return (unsigned char) ((((((((unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(unsigned char) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, 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(unsigned char) - 1 > 4 * PyLong_SHIFT) {
                            return (unsigned char) (((unsigned char)-1)*(((((((((unsigned char)digits[3]) << PyLong_SHIFT) | (unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(unsigned char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned char, 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(unsigned char) - 1 > 4 * PyLong_SHIFT) {
                            return (unsigned char) ((((((((((unsigned char)digits[3]) << PyLong_SHIFT) | (unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(unsigned char) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(unsigned char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, 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
            unsigned char 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 (unsigned char) -1;
        }
    } else {
        unsigned char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (unsigned char) -1;
        val = __Pyx_PyInt_As_unsigned_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to unsigned char");
    return (unsigned char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to unsigned char");
    return (unsigned char) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_char(unsigned char value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const unsigned char neg_one = (unsigned char) -1, const_zero = (unsigned char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(unsigned char) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(unsigned char) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(unsigned char) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(unsigned char) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(unsigned char) <= 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(unsigned char),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) 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 (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_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
#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 (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, 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 (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((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(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_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
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, 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
            size_t 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 (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -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

/* 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;
}

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* CoroutineBase */
#include <structmember.h>
#include <frameobject.h>
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED int closing) {
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_type) {
        #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
        #else
        if (exc_state->exc_traceback) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body((PyObject *) self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *exc_tb = exc_state->exc_traceback;
    if (likely(exc_tb)) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
#else
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
#endif
    }
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
            _PyGen_SetStopIterationValue(result);
        }
        Py_CLEAR(result);
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = Py_TYPE(yf)->tp_iternext(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                PyErr_WriteUnraisable(yf);
            }
            PyErr_Clear();
        } else {
            retval = PyObject_CallFunction(meth, NULL);
            Py_DECREF(meth);
            if (!retval)
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = Py_TYPE(yf)->tp_iternext(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, CYTHON_UNUSED PyObject *arg) {
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                    gen->is_running = 0;
                    return NULL;
                }
                PyErr_Clear();
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = PyObject_CallObject(meth, args);
            } else {
                ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (PyObject_CallFinalizerFromDealloc(self))
#else
        Py_TYPE(gen)->tp_del(self);
        if (Py_REFCNT(self) > 0)
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    PyObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (--self->ob_refcnt == 0) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_name;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, 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 = self->gi_name;
    Py_INCREF(value);
    self->gi_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_qualname;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, 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 = self->gi_qualname;
    Py_INCREF(value);
    self->gi_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *frame = self->gi_frame;
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}

/* PatchModuleWithCoroutine */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}

/* PatchGeneratorABC */
#ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (!module) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}

/* Generator */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
    0,
#endif
};
static int __pyx_Generator_init(void) {
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* 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 Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
