cpython_chunk_2.py

# Auto-generated from cpython_chunk_2.txt

TEXT_DATA = r"""
/* Frame object implementation */
#include "Python.h"
#include "pycore_cell.h"          // PyCell_GetRef()
#include "pycore_ceval.h"         // _PyEval_SetOpcodeTrace()
#include "pycore_code.h"          // CO_FAST_LOCAL
#include "pycore_dict.h"          // _PyDict_LoadBuiltinsFromGlobals()
#include "pycore_frame.h"         // PyFrameObject
#include "pycore_function.h"      // _PyFunction_FromConstructor()
#include "pycore_genobject.h"     // _PyGen_GetGeneratorFromFrame()
#include "pycore_interpframe.h"   // _PyFrame_GetLocalsArray()
#include "pycore_modsupport.h"    // _PyArg_CheckPositional()
#include "pycore_object.h"        // _PyObject_GC_UNTRACK()
#include "pycore_opcode_metadata.h" // _PyOpcode_Caches
#include "pycore_optimizer.h"     // _Py_Executors_InvalidateDependency()
#include "pycore_unicodeobject.h" // _PyUnicode_Equal()
#include "frameobject.h"          // PyFrameLocalsProxyObject
#include "opcode.h"               // EXTENDED_ARG
#include "clinic/frameobject.c.h"
#define PyFrameObject_CAST(op)  \
(assert(PyObject_TypeCheck((op), &PyFrame_Type)), (PyFrameObject *)(op))
#define PyFrameLocalsProxyObject_CAST(op)                           \
(                                                               \
assert(PyObject_TypeCheck((op), &PyFrameLocalsProxy_Type)), \
(PyFrameLocalsProxyObject *)(op)                            \
)
#define OFF(x) offsetof(PyFrameObject, x)
/*[clinic input]
class frame "PyFrameObject *" "&PyFrame_Type"
[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=2d1dbf2e06cf351f]*/
// Returns new reference or NULL
static PyObject *
framelocalsproxy_getval(_PyInterpreterFrame *frame, PyCodeObject *co, int i)
{
_PyStackRef *fast = _PyFrame_GetLocalsArray(frame);
_PyLocals_Kind kind = _PyLocals_GetKind(co->co_localspluskinds, i);
PyObject *value = PyStackRef_AsPyObjectBorrow(fast[i]);
PyObject *cell = NULL;
if (value == NULL) {
return NULL;
}
if (kind == CO_FAST_FREE || kind & CO_FAST_CELL) {
// The cell was set when the frame was created from
// the function's closure.
// GH-128396: With PEP 709, it's possible to have a fast variable in
// an inlined comprehension that has the same name as the cell variable
// in the frame, where the `kind` obtained from frame can not guarantee
// that the variable is a cell.
// If the variable is not a cell, we are okay with it and we can simply
// return the value.
if (PyCell_Check(value)) {
cell = value;
}
}
if (cell != NULL) {
value = PyCell_GetRef((PyCellObject *)cell);
}
else {
Py_XINCREF(value);
}
if (value == NULL) {
return NULL;
}
return value;
}
static bool
framelocalsproxy_hasval(_PyInterpreterFrame *frame, PyCodeObject *co, int i)
{
PyObject *value = framelocalsproxy_getval(frame, co, i);
if (value == NULL) {
return false;
}
Py_DECREF(value);
return true;
}
static int
framelocalsproxy_getkeyindex(PyFrameObject *frame, PyObject *key, bool read, PyObject **value_ptr)
{
/*
* Returns -2 (!) if an error occurred; exception will be set.
* Returns the fast locals index of the key on success:
*   - if read == true, returns the index if the value is not NULL
*   - if read == false, returns the index if the value is not hidden
* Otherwise returns -1.
*
* If read == true and value_ptr is not NULL, *value_ptr is set to
* the value of the key if it is found (with a new reference).
*/
// value_ptr should only be given if we are reading the value
assert(read || value_ptr == NULL);
PyCodeObject *co = _PyFrame_GetCode(frame->f_frame);
// Ensure that the key is hashable.
Py_hash_t key_hash = PyObject_Hash(key);
if (key_hash == -1) {
return -2;
}
bool found = false;
// We do 2 loops here because it's highly possible the key is interned
// and we can do a pointer comparison.
for (int i = 0; i < co->co_nlocalsplus; i++) {
PyObject *name = PyTuple_GET_ITEM(co->co_localsplusnames, i);
if (name == key) {
if (read) {
PyObject *value = framelocalsproxy_getval(frame->f_frame, co, i);
if (value != NULL) {
if (value_ptr != NULL) {
*value_ptr = value;
}
else {
Py_DECREF(value);
}
return i;
}
} else {
if (!(_PyLocals_GetKind(co->co_localspluskinds, i) & CO_FAST_HIDDEN)) {
return i;
}
}
found = true;
}
}
if (found) {
// This is an attempt to read an unset local variable or
// write to a variable that is hidden from regular write operations
return -1;
}
// This is unlikely, but we need to make sure. This means the key
// is not interned.
for (int i = 0; i < co->co_nlocalsplus; i++) {
PyObject *name = PyTuple_GET_ITEM(co->co_localsplusnames, i);
Py_hash_t name_hash = PyObject_Hash(name);
assert(name_hash != -1);  // keys are exact unicode
if (name_hash != key_hash) {
continue;
}
int same = PyObject_RichCompareBool(name, key, Py_EQ);
if (same < 0) {
return -2;
}
if (same) {
if (read) {
PyObject *value = framelocalsproxy_getval(frame->f_frame, co, i);
if (value != NULL) {
if (value_ptr != NULL) {
*value_ptr = value;
}
else {
Py_DECREF(value);
}
return i;
}
} else {
if (!(_PyLocals_GetKind(co->co_localspluskinds, i) & CO_FAST_HIDDEN)) {
return i;
}
}
}
}
return -1;
}
static PyObject *
framelocalsproxy_getitem(PyObject *self, PyObject *key)
{
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
PyObject *value = NULL;
int i = framelocalsproxy_getkeyindex(frame, key, true, &value);
if (i == -2) {
return NULL;
}
if (i >= 0) {
assert(value != NULL);
return value;
}
assert(value == NULL);
// Okay not in the fast locals, try extra locals
PyObject *extra = frame->f_extra_locals;
if (extra != NULL) {
if (PyDict_GetItemRef(extra, key, &value) < 0) {
return NULL;
}
if (value != NULL) {
return value;
}
}
PyErr_Format(PyExc_KeyError, "local variable '%R' is not defined", key);
return NULL;
}
static int
add_overwritten_fast_local(PyFrameObject *frame, PyObject *obj)
{
Py_ssize_t new_size;
if (frame->f_overwritten_fast_locals == NULL) {
new_size = 1;
}
else {
Py_ssize_t size = PyTuple_Size(frame->f_overwritten_fast_locals);
if (size == -1) {
return -1;
}
new_size = size + 1;
}
PyObject *new_tuple = PyTuple_New(new_size);
if (new_tuple == NULL) {
return -1;
}
for (Py_ssize_t i = 0; i < new_size - 1; i++) {
PyObject *o = PyTuple_GET_ITEM(frame->f_overwritten_fast_locals, i);
PyTuple_SET_ITEM(new_tuple, i, Py_NewRef(o));
}
PyTuple_SET_ITEM(new_tuple, new_size - 1, Py_NewRef(obj));
Py_XSETREF(frame->f_overwritten_fast_locals, new_tuple);
return 0;
}
static int
framelocalsproxy_setitem(PyObject *self, PyObject *key, PyObject *value)
{
/* Merge locals into fast locals */
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
_PyStackRef *fast = _PyFrame_GetLocalsArray(frame->f_frame);
PyCodeObject *co = _PyFrame_GetCode(frame->f_frame);
int i = framelocalsproxy_getkeyindex(frame, key, false, NULL);
if (i == -2) {
return -1;
}
if (i >= 0) {
if (value == NULL) {
PyErr_SetString(PyExc_ValueError, "cannot remove local variables from FrameLocalsProxy");
return -1;
}
#if _Py_TIER2
_Py_Executors_InvalidateDependency(_PyInterpreterState_GET(), co, 1);
_PyJit_Tracer_InvalidateDependency(_PyThreadState_GET(), co);
#endif
_PyLocals_Kind kind = _PyLocals_GetKind(co->co_localspluskinds, i);
_PyStackRef oldvalue = fast[i];
PyObject *cell = NULL;
if (kind == CO_FAST_FREE) {
// The cell was set when the frame was created from
// the function's closure.
assert(!PyStackRef_IsNull(oldvalue) && PyCell_Check(PyStackRef_AsPyObjectBorrow(oldvalue)));
cell = PyStackRef_AsPyObjectBorrow(oldvalue);
} else if (kind & CO_FAST_CELL && !PyStackRef_IsNull(oldvalue)) {
PyObject *as_obj = PyStackRef_AsPyObjectBorrow(oldvalue);
if (PyCell_Check(as_obj)) {
cell = as_obj;
}
}
if (cell != NULL) {
Py_XINCREF(value);
PyCell_SetTakeRef((PyCellObject *)cell, value);
} else if (value != PyStackRef_AsPyObjectBorrow(oldvalue)) {
PyObject *old_obj = PyStackRef_AsPyObjectBorrow(fast[i]);
if (old_obj != NULL && !_Py_IsImmortal(old_obj)) {
if (add_overwritten_fast_local(frame, old_obj) < 0) {
return -1;
}
PyStackRef_CLOSE(fast[i]);
}
fast[i] = PyStackRef_FromPyObjectNew(value);
}
return 0;
}
// Okay not in the fast locals, try extra locals
PyObject *extra = frame->f_extra_locals;
if (extra == NULL) {
if (value == NULL) {
_PyErr_SetKeyError(key);
return -1;
}
extra = PyDict_New();
if (extra == NULL) {
return -1;
}
frame->f_extra_locals = extra;
}
assert(PyDict_Check(extra));
if (value == NULL) {
return PyDict_DelItem(extra, key);
} else {
return PyDict_SetItem(extra, key, value);
}
}
static int
framelocalsproxy_merge(PyObject* self, PyObject* other)
{
if (!PyDict_Check(other) && !PyFrameLocalsProxy_Check(other)) {
return -1;
}
PyObject *keys = PyMapping_Keys(other);
if (keys == NULL) {
return -1;
}
PyObject *iter = PyObject_GetIter(keys);
Py_DECREF(keys);
if (iter == NULL) {
return -1;
}
PyObject *key = NULL;
PyObject *value = NULL;
while ((key = PyIter_Next(iter)) != NULL) {
value = PyObject_GetItem(other, key);
if (value == NULL) {
Py_DECREF(key);
Py_DECREF(iter);
return -1;
}
if (framelocalsproxy_setitem(self, key, value) < 0) {
Py_DECREF(key);
Py_DECREF(value);
Py_DECREF(iter);
return -1;
}
Py_DECREF(key);
Py_DECREF(value);
}
Py_DECREF(iter);
if (PyErr_Occurred()) {
return -1;
}
return 0;
}
static PyObject *
framelocalsproxy_keys(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
PyCodeObject *co = _PyFrame_GetCode(frame->f_frame);
PyObject *names = PyList_New(0);
if (names == NULL) {
return NULL;
}
for (int i = 0; i < co->co_nlocalsplus; i++) {
if (framelocalsproxy_hasval(frame->f_frame, co, i)) {
PyObject *name = PyTuple_GET_ITEM(co->co_localsplusnames, i);
if (PyList_Append(names, name) < 0) {
Py_DECREF(names);
return NULL;
}
}
}
// Iterate through the extra locals
if (frame->f_extra_locals) {
assert(PyDict_Check(frame->f_extra_locals));
Py_ssize_t i = 0;
PyObject *key = NULL;
PyObject *value = NULL;
while (PyDict_Next(frame->f_extra_locals, &i, &key, &value)) {
if (PyList_Append(names, key) < 0) {
Py_DECREF(names);
return NULL;
}
}
}
return names;
}
static void
framelocalsproxy_dealloc(PyObject *self)
{
PyFrameLocalsProxyObject *proxy = PyFrameLocalsProxyObject_CAST(self);
PyObject_GC_UnTrack(self);
Py_CLEAR(proxy->frame);
Py_TYPE(self)->tp_free(self);
}
static PyObject *
framelocalsproxy_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
if (PyTuple_GET_SIZE(args) != 1) {
PyErr_Format(PyExc_TypeError,
"FrameLocalsProxy expected 1 argument, got %zd",
PyTuple_GET_SIZE(args));
return NULL;
}
PyObject *item = PyTuple_GET_ITEM(args, 0);
if (!PyFrame_Check(item)) {
PyErr_Format(PyExc_TypeError, "expect frame, not %T", item);
return NULL;
}
PyFrameObject *frame = (PyFrameObject*)item;
if (kwds != NULL && PyDict_Size(kwds) != 0) {
PyErr_SetString(PyExc_TypeError,
"FrameLocalsProxy takes no keyword arguments");
return 0;
}
PyFrameLocalsProxyObject *self = (PyFrameLocalsProxyObject *)type->tp_alloc(type, 0);
if (self == NULL) {
return NULL;
}
((PyFrameLocalsProxyObject*)self)->frame = (PyFrameObject*)Py_NewRef(frame);
return (PyObject *)self;
}
static int
framelocalsproxy_tp_clear(PyObject *self)
{
PyFrameLocalsProxyObject *proxy = PyFrameLocalsProxyObject_CAST(self);
Py_CLEAR(proxy->frame);
return 0;
}
static int
framelocalsproxy_visit(PyObject *self, visitproc visit, void *arg)
{
PyFrameLocalsProxyObject *proxy = PyFrameLocalsProxyObject_CAST(self);
Py_VISIT(proxy->frame);
return 0;
}
static PyObject *
framelocalsproxy_iter(PyObject *self)
{
PyObject* keys = framelocalsproxy_keys(self, NULL);
if (keys == NULL) {
return NULL;
}
PyObject* iter = PyObject_GetIter(keys);
Py_XDECREF(keys);
return iter;
}
static PyObject *
framelocalsproxy_richcompare(PyObject *lhs, PyObject *rhs, int op)
{
PyFrameLocalsProxyObject *self = PyFrameLocalsProxyObject_CAST(lhs);
if (PyFrameLocalsProxy_Check(rhs)) {
PyFrameLocalsProxyObject *other = (PyFrameLocalsProxyObject *)rhs;
bool result = self->frame == other->frame;
if (op == Py_EQ) {
return PyBool_FromLong(result);
} else if (op == Py_NE) {
return PyBool_FromLong(!result);
}
} else if (PyDict_Check(rhs)) {
PyObject *dct = PyDict_New();
if (dct == NULL) {
return NULL;
}
if (PyDict_Update(dct, lhs) < 0) {
Py_DECREF(dct);
return NULL;
}
PyObject *result = PyObject_RichCompare(dct, rhs, op);
Py_DECREF(dct);
return result;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
framelocalsproxy_repr(PyObject *self)
{
int i = Py_ReprEnter(self);
if (i != 0) {
return i > 0 ? PyUnicode_FromString("{...}") : NULL;
}
PyObject *dct = PyDict_New();
if (dct == NULL) {
Py_ReprLeave(self);
return NULL;
}
if (PyDict_Update(dct, self) < 0) {
Py_DECREF(dct);
Py_ReprLeave(self);
return NULL;
}
PyObject *repr = PyObject_Repr(dct);
Py_DECREF(dct);
Py_ReprLeave(self);
return repr;
}
static PyObject*
framelocalsproxy_or(PyObject *self, PyObject *other)
{
if (!PyDict_Check(other) && !PyFrameLocalsProxy_Check(other)) {
Py_RETURN_NOTIMPLEMENTED;
}
PyObject *result = PyDict_New();
if (result == NULL) {
return NULL;
}
if (PyDict_Update(result, self) < 0) {
Py_DECREF(result);
return NULL;
}
if (PyDict_Update(result, other) < 0) {
Py_DECREF(result);
return NULL;
}
return result;
}
static PyObject*
framelocalsproxy_inplace_or(PyObject *self, PyObject *other)
{
if (!PyDict_Check(other) && !PyFrameLocalsProxy_Check(other)) {
Py_RETURN_NOTIMPLEMENTED;
}
if (framelocalsproxy_merge(self, other) < 0) {
Py_RETURN_NOTIMPLEMENTED;
}
return Py_NewRef(self);
}
static PyObject *
framelocalsproxy_values(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
PyCodeObject *co = _PyFrame_GetCode(frame->f_frame);
PyObject *values = PyList_New(0);
if (values == NULL) {
return NULL;
}
for (int i = 0; i < co->co_nlocalsplus; i++) {
PyObject *value = framelocalsproxy_getval(frame->f_frame, co, i);
if (value) {
if (PyList_Append(values, value) < 0) {
Py_DECREF(values);
Py_DECREF(value);
return NULL;
}
Py_DECREF(value);
}
}
// Iterate through the extra locals
if (frame->f_extra_locals) {
Py_ssize_t j = 0;
PyObject *key = NULL;
PyObject *value = NULL;
while (PyDict_Next(frame->f_extra_locals, &j, &key, &value)) {
if (PyList_Append(values, value) < 0) {
Py_DECREF(values);
return NULL;
}
}
}
return values;
}
static PyObject *
framelocalsproxy_items(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
PyCodeObject *co = _PyFrame_GetCode(frame->f_frame);
PyObject *items = PyList_New(0);
if (items == NULL) {
return NULL;
}
for (int i = 0; i < co->co_nlocalsplus; i++) {
PyObject *name = PyTuple_GET_ITEM(co->co_localsplusnames, i);
PyObject *value = framelocalsproxy_getval(frame->f_frame, co, i);
if (value) {
PyObject *pair = PyTuple_Pack(2, name, value);
if (pair == NULL) {
Py_DECREF(items);
Py_DECREF(value);
return NULL;
}
if (PyList_Append(items, pair) < 0) {
Py_DECREF(items);
Py_DECREF(pair);
Py_DECREF(value);
return NULL;
}
Py_DECREF(pair);
Py_DECREF(value);
}
}
// Iterate through the extra locals
if (frame->f_extra_locals) {
Py_ssize_t j = 0;
PyObject *key = NULL;
PyObject *value = NULL;
while (PyDict_Next(frame->f_extra_locals, &j, &key, &value)) {
PyObject *pair = PyTuple_Pack(2, key, value);
if (pair == NULL) {
Py_DECREF(items);
return NULL;
}
if (PyList_Append(items, pair) < 0) {
Py_DECREF(items);
Py_DECREF(pair);
return NULL;
}
Py_DECREF(pair);
}
}
return items;
}
static Py_ssize_t
framelocalsproxy_length(PyObject *self)
{
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
PyCodeObject *co = _PyFrame_GetCode(frame->f_frame);
Py_ssize_t size = 0;
if (frame->f_extra_locals != NULL) {
assert(PyDict_Check(frame->f_extra_locals));
size += PyDict_Size(frame->f_extra_locals);
}
for (int i = 0; i < co->co_nlocalsplus; i++) {
if (framelocalsproxy_hasval(frame->f_frame, co, i)) {
size++;
}
}
return size;
}
static int
framelocalsproxy_contains(PyObject *self, PyObject *key)
{
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
int i = framelocalsproxy_getkeyindex(frame, key, true, NULL);
if (i == -2) {
return -1;
}
if (i >= 0) {
return 1;
}
PyObject *extra = frame->f_extra_locals;
if (extra != NULL) {
return PyDict_Contains(extra, key);
}
return 0;
}
static PyObject* framelocalsproxy___contains__(PyObject *self, PyObject *key)
{
int result = framelocalsproxy_contains(self, key);
if (result < 0) {
return NULL;
}
return PyBool_FromLong(result);
}
static PyObject*
framelocalsproxy_update(PyObject *self, PyObject *other)
{
if (framelocalsproxy_merge(self, other) < 0) {
PyErr_SetString(PyExc_TypeError, "update() argument must be dict or another FrameLocalsProxy");
return NULL;
}
Py_RETURN_NONE;
}
static PyObject*
framelocalsproxy_get(PyObject* self, PyObject *const *args, Py_ssize_t nargs)
{
if (nargs < 1 || nargs > 2) {
PyErr_SetString(PyExc_TypeError, "get expected 1 or 2 arguments");
return NULL;
}
PyObject *key = args[0];
PyObject *default_value = Py_None;
if (nargs == 2) {
default_value = args[1];
}
PyObject *result = framelocalsproxy_getitem(self, key);
if (result == NULL) {
if (PyErr_ExceptionMatches(PyExc_KeyError)) {
PyErr_Clear();
return Py_XNewRef(default_value);
}
return NULL;
}
return result;
}
static PyObject*
framelocalsproxy_setdefault(PyObject* self, PyObject *const *args, Py_ssize_t nargs)
{
if (nargs < 1 || nargs > 2) {
PyErr_SetString(PyExc_TypeError, "setdefault expected 1 or 2 arguments");
return NULL;
}
PyObject *key = args[0];
PyObject *default_value = Py_None;
if (nargs == 2) {
default_value = args[1];
}
PyObject *result = framelocalsproxy_getitem(self, key);
if (result == NULL) {
if (PyErr_ExceptionMatches(PyExc_KeyError)) {
PyErr_Clear();
if (framelocalsproxy_setitem(self, key, default_value) < 0) {
return NULL;
}
return Py_XNewRef(default_value);
}
return NULL;
}
return result;
}
static PyObject*
framelocalsproxy_pop(PyObject* self, PyObject *const *args, Py_ssize_t nargs)
{
if (!_PyArg_CheckPositional("pop", nargs, 1, 2)) {
return NULL;
}
PyObject *key = args[0];
PyObject *default_value = NULL;
if (nargs == 2) {
default_value = args[1];
}
PyFrameObject *frame = PyFrameLocalsProxyObject_CAST(self)->frame;
int i = framelocalsproxy_getkeyindex(frame, key, false, NULL);
if (i == -2) {
return NULL;
}
if (i >= 0) {
PyErr_SetString(PyExc_ValueError, "cannot remove local variables from FrameLocalsProxy");
return NULL;
}
PyObject *result = NULL;
if (frame->f_extra_locals == NULL) {
if (default_value != NULL) {
return Py_XNewRef(default_value);
} else {
_PyErr_SetKeyError(key);
return NULL;
}
}
if (PyDict_Pop(frame->f_extra_locals, key, &result) < 0) {
return NULL;
}
if (result == NULL) {
if (default_value != NULL) {
return Py_XNewRef(default_value);
} else {
_PyErr_SetKeyError(key);
return NULL;
}
}
return result;
}
static PyObject*
framelocalsproxy_copy(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyObject* result = PyDict_New();
if (result == NULL) {
return NULL;
}
if (PyDict_Update(result, self) < 0) {
Py_DECREF(result);
return NULL;
}
return result;
}
static PyObject*
framelocalsproxy_reversed(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyObject *result = framelocalsproxy_keys(self, NULL);
if (result == NULL) {
return NULL;
}
if (PyList_Reverse(result) < 0) {
Py_DECREF(result);
return NULL;
}
return result;
}
static PyNumberMethods framelocalsproxy_as_number = {
.nb_or = framelocalsproxy_or,
.nb_inplace_or = framelocalsproxy_inplace_or,
};
static PySequenceMethods framelocalsproxy_as_sequence = {
.sq_contains = framelocalsproxy_contains,
};
static PyMappingMethods framelocalsproxy_as_mapping = {
.mp_length = framelocalsproxy_length,
.mp_subscript = framelocalsproxy_getitem,
.mp_ass_subscript = framelocalsproxy_setitem,
};
static PyMethodDef framelocalsproxy_methods[] = {
{"__contains__", framelocalsproxy___contains__, METH_O | METH_COEXIST, NULL},
{"__getitem__", framelocalsproxy_getitem, METH_O | METH_COEXIST, NULL},
{"update", framelocalsproxy_update, METH_O, NULL},
{"__reversed__", framelocalsproxy_reversed, METH_NOARGS, NULL},
{"copy", framelocalsproxy_copy, METH_NOARGS, NULL},
{"keys", framelocalsproxy_keys, METH_NOARGS, NULL},
{"values", framelocalsproxy_values, METH_NOARGS, NULL},
{"items", _PyCFunction_CAST(framelocalsproxy_items), METH_NOARGS, NULL},
{"get", _PyCFunction_CAST(framelocalsproxy_get), METH_FASTCALL, NULL},
{"pop", _PyCFunction_CAST(framelocalsproxy_pop), METH_FASTCALL, NULL},
{
"setdefault",
_PyCFunction_CAST(framelocalsproxy_setdefault),
METH_FASTCALL,
NULL
},
{NULL, NULL}   /* sentinel */
};
PyDoc_STRVAR(framelocalsproxy_doc,
"FrameLocalsProxy($frame)\n"
"--\n"
"\n"
"Create a write-through view of the locals dictionary for a frame.\n"
"\n"
"  frame\n"
"    the frame object to wrap.");
PyTypeObject PyFrameLocalsProxy_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "FrameLocalsProxy",
.tp_basicsize = sizeof(PyFrameLocalsProxyObject),
.tp_dealloc = framelocalsproxy_dealloc,
.tp_repr = &framelocalsproxy_repr,
.tp_as_number = &framelocalsproxy_as_number,
.tp_as_sequence = &framelocalsproxy_as_sequence,
.tp_as_mapping = &framelocalsproxy_as_mapping,
.tp_getattro = PyObject_GenericGetAttr,
.tp_setattro = PyObject_GenericSetAttr,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_MAPPING,
.tp_traverse = framelocalsproxy_visit,
.tp_clear = framelocalsproxy_tp_clear,
.tp_richcompare = framelocalsproxy_richcompare,
.tp_iter = framelocalsproxy_iter,
.tp_methods = framelocalsproxy_methods,
.tp_alloc = PyType_GenericAlloc,
.tp_new = framelocalsproxy_new,
.tp_free = PyObject_GC_Del,
.tp_doc = framelocalsproxy_doc,
};
PyObject *
_PyFrameLocalsProxy_New(PyFrameObject *frame)
{
PyObject* args = PyTuple_Pack(1, frame);
if (args == NULL) {
return NULL;
}
PyObject* proxy = framelocalsproxy_new(&PyFrameLocalsProxy_Type, args, NULL);
Py_DECREF(args);
return proxy;
}
static PyMemberDef frame_memberlist[] = {
{"f_trace_lines",   Py_T_BOOL,         OFF(f_trace_lines), 0},
{NULL}      /* Sentinel */
};
/*[clinic input]
@critical_section
@getter
frame.f_locals as frame_locals
Return the mapping used by the frame to look up local variables.
[clinic start generated code]*/
static PyObject *
frame_locals_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=b4ace8bb4cae71f4 input=7bd444d0dc8ddf44]*/
{
assert(!_PyFrame_IsIncomplete(self->f_frame));
PyCodeObject *co = _PyFrame_GetCode(self->f_frame);
if (!(co->co_flags & CO_OPTIMIZED) && !_PyFrame_HasHiddenLocals(self->f_frame)) {
if (self->f_frame->f_locals == NULL) {
// We found cases when f_locals is NULL for non-optimized code.
// We fill the f_locals with an empty dict to avoid crash until
// we find the root cause.
self->f_frame->f_locals = PyDict_New();
if (self->f_frame->f_locals == NULL) {
return NULL;
}
}
return Py_NewRef(self->f_frame->f_locals);
}
return _PyFrameLocalsProxy_New(self);
}
int
PyFrame_GetLineNumber(PyFrameObject *f)
{
assert(f != NULL);
if (f->f_lineno == -1) {
// We should calculate it once. If we can't get the line number,
// set f->f_lineno to 0.
f->f_lineno = PyUnstable_InterpreterFrame_GetLine(f->f_frame);
if (f->f_lineno < 0) {
f->f_lineno = 0;
return -1;
}
}
if (f->f_lineno > 0) {
return f->f_lineno;
}
return PyUnstable_InterpreterFrame_GetLine(f->f_frame);
}
/*[clinic input]
@critical_section
@getter
frame.f_lineno as frame_lineno
Return the current line number in the frame.
[clinic start generated code]*/
static PyObject *
frame_lineno_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=70f35de5ac7ad630 input=87b9ec648b742936]*/
{
int lineno = PyFrame_GetLineNumber(self);
if (lineno < 0) {
Py_RETURN_NONE;
}
return PyLong_FromLong(lineno);
}
/*[clinic input]
@critical_section
@getter
frame.f_lasti as frame_lasti
Return the index of the last attempted instruction in the frame.
[clinic start generated code]*/
static PyObject *
frame_lasti_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=03275b4f0327d1a2 input=0225ed49cb1fbeeb]*/
{
int lasti = _PyInterpreterFrame_LASTI(self->f_frame);
if (lasti < 0) {
return PyLong_FromLong(-1);
}
return PyLong_FromLong(lasti * sizeof(_Py_CODEUNIT));
}
/*[clinic input]
@critical_section
@getter
frame.f_globals as frame_globals
Return the global variables in the frame.
[clinic start generated code]*/
static PyObject *
frame_globals_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=7758788c32885528 input=7fff7241357d314d]*/
{
PyObject *globals = self->f_frame->f_globals;
if (globals == NULL) {
globals = Py_None;
}
return Py_NewRef(globals);
}
/*[clinic input]
@critical_section
@getter
frame.f_builtins as frame_builtins
Return the built-in variables in the frame.
[clinic start generated code]*/
static PyObject *
frame_builtins_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=45362faa6d42c702 input=27c696d6ffcad2c7]*/
{
PyObject *builtins = self->f_frame->f_builtins;
if (builtins == NULL) {
builtins = Py_None;
}
return Py_NewRef(builtins);
}
/*[clinic input]
@getter
frame.f_code as frame_code
Return the code object being executed in this frame.
[clinic start generated code]*/
static PyObject *
frame_code_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=a5ed6207395a8cef input=e127e7098c124816]*/
{
if (PySys_Audit("object.__getattr__", "Os", self, "f_code") < 0) {
return NULL;
}
return (PyObject *)PyFrame_GetCode(self);
}
/*[clinic input]
@critical_section
@getter
frame.f_back as frame_back
[clinic start generated code]*/
static PyObject *
frame_back_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=3a84c22a55a63c79 input=9e528570d0e1f44a]*/
{
PyObject *res = (PyObject *)PyFrame_GetBack(self);
if (res == NULL) {
Py_RETURN_NONE;
}
return res;
}
/*[clinic input]
@critical_section
@getter
frame.f_trace_opcodes as frame_trace_opcodes
Return True if opcode tracing is enabled, False otherwise.
[clinic start generated code]*/
static PyObject *
frame_trace_opcodes_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=53ff41d09cc32e87 input=4eb91dc88e04677a]*/
{
return self->f_trace_opcodes ? Py_True : Py_False;
}
/*[clinic input]
@critical_section
@setter
frame.f_trace_opcodes as frame_trace_opcodes
[clinic start generated code]*/
static int
frame_trace_opcodes_set_impl(PyFrameObject *self, PyObject *value)
/*[clinic end generated code: output=92619da2bfccd449 input=7e286eea3c0333ff]*/
{
if (!PyBool_Check(value)) {
PyErr_SetString(PyExc_TypeError,
"attribute value type must be bool");
return -1;
}
if (value == Py_True) {
self->f_trace_opcodes = 1;
if (self->f_trace) {
return _PyEval_SetOpcodeTrace(self, true);
}
}
else {
self->f_trace_opcodes = 0;
return _PyEval_SetOpcodeTrace(self, false);
}
return 0;
}
/* Model the evaluation stack, to determine which jumps
* are safe and how many values needs to be popped.
* The stack is modelled by a 64 integer, treating any
* stack that can't fit into 64 bits as "overflowed".
*/
typedef enum kind {
Iterator = 1,
Except = 2,
Object = 3,
Null = 4,
Lasti = 5,
} Kind;
static int
compatible_kind(Kind from, Kind to) {
if (to == 0) {
return 0;
}
if (to == Object) {
return from != Null;
}
if (to == Null) {
return 1;
}
return from == to;
}
#define BITS_PER_BLOCK 3
#define UNINITIALIZED -2
#define OVERFLOWED -1
#define MAX_STACK_ENTRIES (63/BITS_PER_BLOCK)
#define WILL_OVERFLOW (1ULL<<((MAX_STACK_ENTRIES-1)*BITS_PER_BLOCK))
#define EMPTY_STACK 0
static inline int64_t
push_value(int64_t stack, Kind kind)
{
if (((uint64_t)stack) >= WILL_OVERFLOW) {
return OVERFLOWED;
}
else {
return (stack << BITS_PER_BLOCK) | kind;
}
}
static inline int64_t
pop_value(int64_t stack)
{
return Py_ARITHMETIC_RIGHT_SHIFT(int64_t, stack, BITS_PER_BLOCK);
}
#define MASK ((1<<BITS_PER_BLOCK)-1)
static inline Kind
top_of_stack(int64_t stack)
{
return stack & MASK;
}
static inline Kind
peek(int64_t stack, int n)
{
assert(n >= 1);
return (stack>>(BITS_PER_BLOCK*(n-1))) & MASK;
}
static Kind
stack_swap(int64_t stack, int n)
{
assert(n >= 1);
Kind to_swap = peek(stack, n);
Kind top = top_of_stack(stack);
int shift = BITS_PER_BLOCK*(n-1);
int64_t replaced_low = (stack & ~(MASK << shift)) | (top << shift);
int64_t replaced_top = (replaced_low & ~MASK) | to_swap;
return replaced_top;
}
static int64_t
pop_to_level(int64_t stack, int level) {
if (level == 0) {
return EMPTY_STACK;
}
int64_t max_item = (1<<BITS_PER_BLOCK) - 1;
int64_t level_max_stack = max_item << ((level-1) * BITS_PER_BLOCK);
while (stack > level_max_stack) {
stack = pop_value(stack);
}
return stack;
}
#if 0
/* These functions are useful for debugging the stack marking code */
static char
tos_char(int64_t stack) {
switch(top_of_stack(stack)) {
case Iterator:
return 'I';
case Except:
return 'E';
case Object:
return 'O';
case Lasti:
return 'L';
case Null:
return 'N';
}
return '?';
}
static void
print_stack(int64_t stack) {
if (stack < 0) {
if (stack == UNINITIALIZED) {
printf("---");
}
else if (stack == OVERFLOWED) {
printf("OVERFLOWED");
}
else {
printf("??");
}
return;
}
while (stack) {
printf("%c", tos_char(stack));
stack = pop_value(stack);
}
}
static void
print_stacks(int64_t *stacks, int n) {
for (int i = 0; i < n; i++) {
printf("%d: ", i);
print_stack(stacks[i]);
printf("\n");
}
}
#endif
static int64_t *
mark_stacks(PyCodeObject *code_obj, int len)
{
PyObject *co_code = _PyCode_GetCode(code_obj);
if (co_code == NULL) {
return NULL;
}
int64_t *stacks = PyMem_New(int64_t, len+1);
if (stacks == NULL) {
PyErr_NoMemory();
Py_DECREF(co_code);
return NULL;
}
for (int i = 1; i <= len; i++) {
stacks[i] = UNINITIALIZED;
}
stacks[0] = EMPTY_STACK;
int todo = 1;
while (todo) {
todo = 0;
/* Scan instructions */
for (int i = 0; i < len;) {
int j;
int64_t next_stack = stacks[i];
_Py_CODEUNIT inst = _Py_GetBaseCodeUnit(code_obj, i);
int opcode = inst.op.code;
int oparg = 0;
while (opcode == EXTENDED_ARG) {
oparg = (oparg << 8) | inst.op.arg;
i++;
inst = _Py_GetBaseCodeUnit(code_obj, i);
opcode = inst.op.code;
stacks[i] = next_stack;
}
oparg = (oparg << 8) | inst.op.arg;
int next_i = i + _PyOpcode_Caches[opcode] + 1;
if (next_stack == UNINITIALIZED) {
i = next_i;
continue;
}
switch (opcode) {
case POP_JUMP_IF_FALSE:
case POP_JUMP_IF_TRUE:
case POP_JUMP_IF_NONE:
case POP_JUMP_IF_NOT_NONE:
{
int64_t target_stack;
j = next_i + oparg;
assert(j < len);
next_stack = pop_value(next_stack);
target_stack = next_stack;
assert(stacks[j] == UNINITIALIZED || stacks[j] == target_stack);
stacks[j] = target_stack;
stacks[next_i] = next_stack;
break;
}
case SEND:
j = oparg + i + INLINE_CACHE_ENTRIES_SEND + 1;
assert(j < len);
assert(stacks[j] == UNINITIALIZED || stacks[j] == next_stack);
stacks[j] = next_stack;
stacks[next_i] = next_stack;
break;
case JUMP_FORWARD:
j = oparg + i + 1;
assert(j < len);
assert(stacks[j] == UNINITIALIZED || stacks[j] == next_stack);
stacks[j] = next_stack;
break;
case JUMP_BACKWARD:
case JUMP_BACKWARD_NO_INTERRUPT:
j = next_i - oparg;
assert(j >= 0);
assert(j < len);
if (stacks[j] == UNINITIALIZED && j < i) {
todo = 1;
}
assert(stacks[j] == UNINITIALIZED || stacks[j] == next_stack);
stacks[j] = next_stack;
break;
case GET_ITER:
next_stack = push_value(pop_value(next_stack), Iterator);
next_stack = push_value(next_stack, Iterator);
stacks[next_i] = next_stack;
break;
case GET_AITER:
next_stack = push_value(pop_value(next_stack), Iterator);
stacks[next_i] = next_stack;
break;
case FOR_ITER:
{
int64_t target_stack = push_value(next_stack, Object);
stacks[next_i] = target_stack;
j = oparg + 1 + INLINE_CACHE_ENTRIES_FOR_ITER + i;
assert(j < len);
assert(stacks[j] == UNINITIALIZED || stacks[j] == target_stack);
stacks[j] = target_stack;
break;
}
case END_ASYNC_FOR:
next_stack = pop_value(pop_value(next_stack));
stacks[next_i] = next_stack;
break;
case PUSH_EXC_INFO:
next_stack = push_value(next_stack, Except);
stacks[next_i] = next_stack;
break;
case POP_EXCEPT:
assert(top_of_stack(next_stack) == Except);
next_stack = pop_value(next_stack);
stacks[next_i] = next_stack;
break;
case RETURN_VALUE:
assert(pop_value(next_stack) == EMPTY_STACK);
assert(top_of_stack(next_stack) == Object);
break;
case RAISE_VARARGS:
break;
case RERAISE:
assert(top_of_stack(next_stack) == Except);
/* End of block */
break;
case PUSH_NULL:
next_stack = push_value(next_stack, Null);
stacks[next_i] = next_stack;
break;
case LOAD_GLOBAL:
{
int j = oparg;
next_stack = push_value(next_stack, Object);
if (j & 1) {
next_stack = push_value(next_stack, Null);
}
stacks[next_i] = next_stack;
break;
}
case LOAD_ATTR:
{
assert(top_of_stack(next_stack) == Object);
int j = oparg;
if (j & 1) {
next_stack = pop_value(next_stack);
next_stack = push_value(next_stack, Object);
next_stack = push_value(next_stack, Null);
}
stacks[next_i] = next_stack;
break;
}
case SWAP:
{
int n = oparg;
next_stack = stack_swap(next_stack, n);
stacks[next_i] = next_stack;
break;
}
case COPY:
{
int n = oparg;
next_stack = push_value(next_stack, peek(next_stack, n));
stacks[next_i] = next_stack;
break;
}
case CACHE:
case RESERVED:
{
assert(0);
}
default:
{
int delta = PyCompile_OpcodeStackEffect(opcode, oparg);
assert(delta != PY_INVALID_STACK_EFFECT);
while (delta < 0) {
next_stack = pop_value(next_stack);
delta++;
}
while (delta > 0) {
next_stack = push_value(next_stack, Object);
delta--;
}
stacks[next_i] = next_stack;
}
}
i = next_i;
}
/* Scan exception table */
unsigned char *start = (unsigned char *)PyBytes_AS_STRING(code_obj->co_exceptiontable);
unsigned char *end = start + PyBytes_GET_SIZE(code_obj->co_exceptiontable);
unsigned char *scan = start;
while (scan < end) {
int start_offset, size, handler;
scan = parse_varint(scan, &start_offset);
assert(start_offset >= 0 && start_offset < len);
scan = parse_varint(scan, &size);
assert(size >= 0 && start_offset+size <= len);
scan = parse_varint(scan, &handler);
assert(handler >= 0 && handler < len);
int depth_and_lasti;
scan = parse_varint(scan, &depth_and_lasti);
int level = depth_and_lasti >> 1;
int lasti = depth_and_lasti & 1;
if (stacks[start_offset] != UNINITIALIZED) {
if (stacks[handler] == UNINITIALIZED) {
todo = 1;
uint64_t target_stack = pop_to_level(stacks[start_offset], level);
if (lasti) {
target_stack = push_value(target_stack, Lasti);
}
target_stack = push_value(target_stack, Except);
stacks[handler] = target_stack;
}
}
}
}
Py_DECREF(co_code);
return stacks;
}
static int
compatible_stack(int64_t from_stack, int64_t to_stack)
{
if (from_stack < 0 || to_stack < 0) {
return 0;
}
while(from_stack > to_stack) {
from_stack = pop_value(from_stack);
}
while(from_stack) {
Kind from_top = top_of_stack(from_stack);
Kind to_top = top_of_stack(to_stack);
if (!compatible_kind(from_top, to_top)) {
return 0;
}
from_stack = pop_value(from_stack);
to_stack = pop_value(to_stack);
}
return to_stack == 0;
}
static const char *
explain_incompatible_stack(int64_t to_stack)
{
assert(to_stack != 0);
if (to_stack == OVERFLOWED) {
return "stack is too deep to analyze";
}
if (to_stack == UNINITIALIZED) {
return "can't jump into an exception handler, or code may be unreachable";
}
Kind target_kind = top_of_stack(to_stack);
switch(target_kind) {
case Except:
return "can't jump into an 'except' block as there's no exception";
case Lasti:
return "can't jump into a re-raising block as there's no location";
case Object:
case Null:
return "incompatible stacks";
case Iterator:
return "can't jump into the body of a for loop";
default:
Py_UNREACHABLE();
}
}
static int *
marklines(PyCodeObject *code, int len)
{
PyCodeAddressRange bounds;
_PyCode_InitAddressRange(code, &bounds);
assert (bounds.ar_end == 0);
int last_line = -1;
int *linestarts = PyMem_New(int, len);
if (linestarts == NULL) {
return NULL;
}
for (int i = 0; i < len; i++) {
linestarts[i] = -1;
}
while (_PyLineTable_NextAddressRange(&bounds)) {
assert(bounds.ar_start / (int)sizeof(_Py_CODEUNIT) < len);
if (bounds.ar_line != last_line && bounds.ar_line != -1) {
linestarts[bounds.ar_start / sizeof(_Py_CODEUNIT)] = bounds.ar_line;
last_line = bounds.ar_line;
}
}
return linestarts;
}
static int
first_line_not_before(int *lines, int len, int line)
{
int result = INT_MAX;
for (int i = 0; i < len; i++) {
if (lines[i] < result && lines[i] >= line) {
result = lines[i];
}
}
if (result == INT_MAX) {
return -1;
}
return result;
}
static bool frame_is_suspended(PyFrameObject *frame)
{
assert(!_PyFrame_IsIncomplete(frame->f_frame));
if (frame->f_frame->owner == FRAME_OWNED_BY_GENERATOR) {
PyGenObject *gen = _PyGen_GetGeneratorFromFrame(frame->f_frame);
return FRAME_STATE_SUSPENDED(gen->gi_frame_state);
}
return false;
}
/* Setter for f_lineno - you can set f_lineno from within a trace function in
* order to jump to a given line of code, subject to some restrictions.  Most
* lines are OK to jump to because they don't make any assumptions about the
* state of the stack (obvious because you could remove the line and the code
* would still work without any stack errors), but there are some constructs
* that limit jumping:
*
*  o Any exception handlers.
*  o 'for' and 'async for' loops can't be jumped into because the
*    iterator needs to be on the stack.
*  o Jumps cannot be made from within a trace function invoked with a
*    'return' or 'exception' event since the eval loop has been exited at
*    that time.
*/
/*[clinic input]
@critical_section
@setter
frame.f_lineno as frame_lineno
[clinic start generated code]*/
static int
frame_lineno_set_impl(PyFrameObject *self, PyObject *value)
/*[clinic end generated code: output=e64c86ff6be64292 input=36ed3c896b27fb91]*/
{
PyCodeObject *code = _PyFrame_GetCode(self->f_frame);
if (value == NULL) {
PyErr_SetString(PyExc_AttributeError, "cannot delete attribute");
return -1;
}
/* f_lineno must be an integer. */
if (!PyLong_CheckExact(value)) {
PyErr_SetString(PyExc_ValueError,
"lineno must be an integer");
return -1;
}
bool is_suspended = frame_is_suspended(self);
/*
* This code preserves the historical restrictions on
* setting the line number of a frame.
* Jumps are forbidden on a 'return' trace event (except after a yield).
* Jumps from 'call' trace events are also forbidden.
* In addition, jumps are forbidden when not tracing,
* as this is a debugging feature.
*/
int what_event = PyThreadState_GET()->what_event;
if (what_event < 0) {
PyErr_Format(PyExc_ValueError,
"f_lineno can only be set in a trace function");
return -1;
}
switch (what_event) {
case PY_MONITORING_EVENT_PY_RESUME:
case PY_MONITORING_EVENT_JUMP:
case PY_MONITORING_EVENT_BRANCH:
case PY_MONITORING_EVENT_BRANCH_LEFT:
case PY_MONITORING_EVENT_BRANCH_RIGHT:
case PY_MONITORING_EVENT_LINE:
case PY_MONITORING_EVENT_PY_YIELD:
/* Setting f_lineno is allowed for the above events */
break;
case PY_MONITORING_EVENT_PY_START:
PyErr_Format(PyExc_ValueError,
"can't jump from the 'call' trace event of a new frame");
return -1;
case PY_MONITORING_EVENT_CALL:
case PY_MONITORING_EVENT_C_RETURN:
PyErr_SetString(PyExc_ValueError,
"can't jump during a call");
return -1;
case PY_MONITORING_EVENT_PY_RETURN:
case PY_MONITORING_EVENT_PY_UNWIND:
case PY_MONITORING_EVENT_PY_THROW:
case PY_MONITORING_EVENT_RAISE:
case PY_MONITORING_EVENT_C_RAISE:
case PY_MONITORING_EVENT_INSTRUCTION:
case PY_MONITORING_EVENT_EXCEPTION_HANDLED:
PyErr_Format(PyExc_ValueError,
"can only jump from a 'line' trace event");
return -1;
default:
PyErr_SetString(PyExc_SystemError,
"unexpected event type");
return -1;
}
int new_lineno;
/* Fail if the line falls outside the code block and
select first line with actual code. */
int overflow;
long l_new_lineno = PyLong_AsLongAndOverflow(value, &overflow);
if (overflow
#if SIZEOF_LONG > SIZEOF_INT
|| l_new_lineno > INT_MAX
|| l_new_lineno < INT_MIN
#endif
) {
PyErr_SetString(PyExc_ValueError,
"lineno out of range");
return -1;
}
new_lineno = (int)l_new_lineno;
if (new_lineno < code->co_firstlineno) {
PyErr_Format(PyExc_ValueError,
"line %d comes before the current code block",
new_lineno);
return -1;
}
/* PyCode_NewWithPosOnlyArgs limits co_code to be under INT_MAX so this
* should never overflow. */
int len = (int)Py_SIZE(code);
int *lines = marklines(code, len);
if (lines == NULL) {
return -1;
}
new_lineno = first_line_not_before(lines, len, new_lineno);
if (new_lineno < 0) {
PyErr_Format(PyExc_ValueError,
"line %d comes after the current code block",
(int)l_new_lineno);
PyMem_Free(lines);
return -1;
}
int64_t *stacks = mark_stacks(code, len);
if (stacks == NULL) {
PyMem_Free(lines);
return -1;
}
int64_t best_stack = OVERFLOWED;
int best_addr = -1;
int64_t start_stack = stacks[_PyInterpreterFrame_LASTI(self->f_frame)];
int err = -1;
const char *msg = "cannot find bytecode for specified line";
for (int i = 0; i < len; i++) {
if (lines[i] == new_lineno) {
int64_t target_stack = stacks[i];
if (compatible_stack(start_stack, target_stack)) {
err = 0;
if (target_stack > best_stack) {
best_stack = target_stack;
best_addr = i;
}
}
else if (err < 0) {
if (start_stack == OVERFLOWED) {
msg = "stack to deep to analyze";
}
else if (start_stack == UNINITIALIZED) {
msg = "can't jump from unreachable code";
}
else {
msg = explain_incompatible_stack(target_stack);
err = 1;
}
}
}
}
PyMem_Free(stacks);
PyMem_Free(lines);
if (err) {
PyErr_SetString(PyExc_ValueError, msg);
return -1;
}
// Populate any NULL locals that the compiler might have "proven" to exist
// in the new location. Rather than crashing or changing co_code, just bind
// None instead:
int unbound = 0;
for (int i = 0; i < code->co_nlocalsplus; i++) {
// Counting every unbound local is overly-cautious, but a full flow
// analysis (like we do in the compiler) is probably too expensive:
unbound += PyStackRef_IsNull(self->f_frame->localsplus[i]);
}
if (unbound) {
const char *e = "assigning None to %d unbound local%s";
const char *s = (unbound == 1) ? "" : "s";
if (PyErr_WarnFormat(PyExc_RuntimeWarning, 0, e, unbound, s)) {
return -1;
}
// Do this in a second pass to avoid writing a bunch of Nones when
// warnings are being treated as errors and the previous bit raises:
for (int i = 0; i < code->co_nlocalsplus; i++) {
if (PyStackRef_IsNull(self->f_frame->localsplus[i])) {
self->f_frame->localsplus[i] = PyStackRef_None;
unbound--;
}
}
assert(unbound == 0);
}
if (is_suspended) {
/* Account for value popped by yield */
start_stack = pop_value(start_stack);
}
while (start_stack > best_stack) {
_PyStackRef popped = _PyFrame_StackPop(self->f_frame);
if (top_of_stack(start_stack) == Except) {
/* Pop exception stack as well as the evaluation stack */
PyObject *exc = PyStackRef_AsPyObjectBorrow(popped);
assert(PyExceptionInstance_Check(exc) || exc == Py_None);
PyThreadState *tstate = _PyThreadState_GET();
Py_XSETREF(tstate->exc_info->exc_value, exc == Py_None ? NULL : exc);
}
else {
PyStackRef_XCLOSE(popped);
}
start_stack = pop_value(start_stack);
}
/* Finally set the new lasti and return OK. */
self->f_lineno = 0;
self->f_frame->instr_ptr = _PyFrame_GetBytecode(self->f_frame) + best_addr;
return 0;
}
/*[clinic input]
@permit_long_summary
@critical_section
@getter
frame.f_trace as frame_trace
Return the trace function for this frame, or None if no trace function is set.
[clinic start generated code]*/
static PyObject *
frame_trace_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=5475cbfce07826cd input=e4eacf2c68cac577]*/
{
PyObject* trace = self->f_trace;
if (trace == NULL) {
trace = Py_None;
}
return Py_NewRef(trace);
}
/*[clinic input]
@permit_long_summary
@critical_section
@setter
frame.f_trace as frame_trace
[clinic start generated code]*/
static int
frame_trace_set_impl(PyFrameObject *self, PyObject *value)
/*[clinic end generated code: output=d6fe08335cf76ae4 input=e57380734815dac5]*/
{
if (value == Py_None) {
value = NULL;
}
if (value != self->f_trace) {
Py_XSETREF(self->f_trace, Py_XNewRef(value));
if (value != NULL && self->f_trace_opcodes) {
return _PyEval_SetOpcodeTrace(self, true);
}
}
return 0;
}
/*[clinic input]
@critical_section
@getter
frame.f_generator as frame_generator
Return the generator or coroutine associated with this frame, or None.
[clinic start generated code]*/
static PyObject *
frame_generator_get_impl(PyFrameObject *self)
/*[clinic end generated code: output=97aeb2392562e55b input=00a2bd008b239ab0]*/
{
if (self->f_frame->owner == FRAME_OWNED_BY_GENERATOR) {
PyObject *gen = (PyObject *)_PyGen_GetGeneratorFromFrame(self->f_frame);
return Py_NewRef(gen);
}
Py_RETURN_NONE;
}
static PyGetSetDef frame_getsetlist[] = {
FRAME_BACK_GETSETDEF
FRAME_LOCALS_GETSETDEF
FRAME_LINENO_GETSETDEF
FRAME_TRACE_GETSETDEF
FRAME_LASTI_GETSETDEF
FRAME_GLOBALS_GETSETDEF
FRAME_BUILTINS_GETSETDEF
FRAME_CODE_GETSETDEF
FRAME_TRACE_OPCODES_GETSETDEF
FRAME_GENERATOR_GETSETDEF
{0}
};
static void
frame_dealloc(PyObject *op)
{
/* It is the responsibility of the owning generator/coroutine
* to have cleared the generator pointer */
PyFrameObject *f = PyFrameObject_CAST(op);
if (_PyObject_GC_IS_TRACKED(f)) {
_PyObject_GC_UNTRACK(f);
}
/* GH-106092: If f->f_frame was on the stack and we reached the maximum
* nesting depth for deallocations, the trashcan may have delayed this
* deallocation until after f->f_frame is freed. Avoid dereferencing
* f->f_frame unless we know it still points to valid memory. */
_PyInterpreterFrame *frame = (_PyInterpreterFrame *)f->_f_frame_data;
/* Kill all local variables including specials, if we own them */
if (f->f_frame == frame && frame->owner == FRAME_OWNED_BY_FRAME_OBJECT) {
PyStackRef_CLEAR(frame->f_executable);
PyStackRef_CLEAR(frame->f_funcobj);
Py_CLEAR(frame->f_locals);
_PyStackRef *locals = _PyFrame_GetLocalsArray(frame);
_PyStackRef *sp = frame->stackpointer;
while (sp > locals) {
sp--;
PyStackRef_CLEAR(*sp);
}
}
Py_CLEAR(f->f_back);
Py_CLEAR(f->f_trace);
Py_CLEAR(f->f_extra_locals);
Py_CLEAR(f->f_locals_cache);
Py_CLEAR(f->f_overwritten_fast_locals);
PyObject_GC_Del(f);
}
static int
frame_traverse(PyObject *op, visitproc visit, void *arg)
{
PyFrameObject *f = PyFrameObject_CAST(op);
Py_VISIT(f->f_back);
Py_VISIT(f->f_trace);
Py_VISIT(f->f_extra_locals);
Py_VISIT(f->f_locals_cache);
Py_VISIT(f->f_overwritten_fast_locals);
if (f->f_frame->owner != FRAME_OWNED_BY_FRAME_OBJECT) {
return 0;
}
assert(f->f_frame->frame_obj == NULL);
return _PyFrame_Traverse(f->f_frame, visit, arg);
}
static int
frame_tp_clear(PyObject *op)
{
PyFrameObject *f = PyFrameObject_CAST(op);
Py_CLEAR(f->f_trace);
Py_CLEAR(f->f_extra_locals);
Py_CLEAR(f->f_locals_cache);
Py_CLEAR(f->f_overwritten_fast_locals);
/* locals and stack */
_PyStackRef *locals = _PyFrame_GetLocalsArray(f->f_frame);
_PyStackRef *sp = f->f_frame->stackpointer;
assert(sp >= locals);
while (sp > locals) {
sp--;
PyStackRef_CLEAR(*sp);
}
f->f_frame->stackpointer = locals;
Py_CLEAR(f->f_frame->f_locals);
return 0;
}
/*[clinic input]
@critical_section
frame.clear
Clear all references held by the frame.
[clinic start generated code]*/
static PyObject *
frame_clear_impl(PyFrameObject *self)
/*[clinic end generated code: output=864c662f16e9bfcc input=c358f9cff5f9b681]*/
{
if (self->f_frame->owner == FRAME_OWNED_BY_GENERATOR) {
PyGenObject *gen = _PyGen_GetGeneratorFromFrame(self->f_frame);
if (_PyGen_ClearFrame(gen) < 0) {
return NULL;
}
}
else if (self->f_frame->owner == FRAME_OWNED_BY_THREAD) {
PyErr_SetString(PyExc_RuntimeError,
"cannot clear an executing frame");
return NULL;
}
else {
assert(self->f_frame->owner == FRAME_OWNED_BY_FRAME_OBJECT);
(void)frame_tp_clear((PyObject *)self);
}
Py_RETURN_NONE;
}
/*[clinic input]
@critical_section
frame.__sizeof__
Return the size of the frame in memory, in bytes.
[clinic start generated code]*/
static PyObject *
frame___sizeof___impl(PyFrameObject *self)
/*[clinic end generated code: output=82948688e81078e2 input=908f90a83e73131d]*/
{
Py_ssize_t res;
res = offsetof(PyFrameObject, _f_frame_data) + offsetof(_PyInterpreterFrame, localsplus);
PyCodeObject *code = _PyFrame_GetCode(self->f_frame);
res += _PyFrame_NumSlotsForCodeObject(code) * sizeof(PyObject *);
return PyLong_FromSsize_t(res);
}
static PyObject *
frame_repr(PyObject *op)
{
PyFrameObject *f = PyFrameObject_CAST(op);
int lineno = PyFrame_GetLineNumber(f);
PyCodeObject *code = _PyFrame_GetCode(f->f_frame);
return PyUnicode_FromFormat(
"<frame at %p, file %R, line %d, code %S>",
f, code->co_filename, lineno, code->co_name);
}
static PyMethodDef frame_methods[] = {
FRAME_CLEAR_METHODDEF
FRAME___SIZEOF___METHODDEF
{NULL, NULL}  /* sentinel */
};
PyTypeObject PyFrame_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
"frame",
offsetof(PyFrameObject, _f_frame_data) +
offsetof(_PyInterpreterFrame, localsplus),
sizeof(PyObject *),
frame_dealloc,                              /* tp_dealloc */
0,                                          /* tp_vectorcall_offset */
0,                                          /* tp_getattr */
0,                                          /* tp_setattr */
0,                                          /* tp_as_async */
frame_repr,                                 /* tp_repr */
0,                                          /* tp_as_number */
0,                                          /* tp_as_sequence */
0,                                          /* tp_as_mapping */
0,                                          /* tp_hash */
0,                                          /* tp_call */
0,                                          /* tp_str */
PyObject_GenericGetAttr,                    /* tp_getattro */
PyObject_GenericSetAttr,                    /* tp_setattro */
0,                                          /* tp_as_buffer */
Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,/* tp_flags */
0,                                          /* tp_doc */
frame_traverse,                             /* tp_traverse */
frame_tp_clear,                             /* tp_clear */
0,                                          /* tp_richcompare */
0,                                          /* tp_weaklistoffset */
0,                                          /* tp_iter */
0,                                          /* tp_iternext */
frame_methods,                              /* tp_methods */
frame_memberlist,                           /* tp_members */
frame_getsetlist,                           /* tp_getset */
0,                                          /* tp_base */
0,                                          /* tp_dict */
};
static void
init_frame(PyThreadState *tstate, _PyInterpreterFrame *frame,
PyFunctionObject *func, PyObject *locals)
{
PyCodeObject *code = (PyCodeObject *)func->func_code;
_PyFrame_Initialize(tstate, frame, PyStackRef_FromPyObjectNew(func),
Py_XNewRef(locals), code, 0, NULL);
}
PyFrameObject*
_PyFrame_New_NoTrack(PyCodeObject *code)
{
CALL_STAT_INC(frame_objects_created);
int slots = code->co_nlocalsplus + code->co_stacksize;
PyFrameObject *f = PyObject_GC_NewVar(PyFrameObject, &PyFrame_Type, slots);
if (f == NULL) {
return NULL;
}
f->f_back = NULL;
f->f_trace = NULL;
f->f_trace_lines = 1;
f->f_trace_opcodes = 0;
f->f_lineno = 0;
f->f_extra_locals = NULL;
f->f_locals_cache = NULL;
f->f_overwritten_fast_locals = NULL;
return f;
}
/* Legacy API */
PyFrameObject*
PyFrame_New(PyThreadState *tstate, PyCodeObject *code,
PyObject *globals, PyObject *locals)
{
PyObject *builtins = _PyDict_LoadBuiltinsFromGlobals(globals);
if (builtins == NULL) {
return NULL;
}
PyFrameConstructor desc = {
.fc_globals = globals,
.fc_builtins = builtins,
.fc_name = code->co_name,
.fc_qualname = code->co_name,
.fc_code = (PyObject *)code,
.fc_defaults = NULL,
.fc_kwdefaults = NULL,
.fc_closure = NULL
};
PyFunctionObject *func = _PyFunction_FromConstructor(&desc);
_Py_DECREF_BUILTINS(builtins);
if (func == NULL) {
return NULL;
}
PyFrameObject *f = _PyFrame_New_NoTrack(code);
if (f == NULL) {
Py_DECREF(func);
return NULL;
}
init_frame(tstate, (_PyInterpreterFrame *)f->_f_frame_data, func, locals);
f->f_frame = (_PyInterpreterFrame *)f->_f_frame_data;
f->f_frame->owner = FRAME_OWNED_BY_FRAME_OBJECT;
// This frame needs to be "complete", so pretend that the first RESUME ran:
f->f_frame->instr_ptr = _PyCode_CODE(code) + code->_co_firsttraceable + 1;
assert(!_PyFrame_IsIncomplete(f->f_frame));
Py_DECREF(func);
_PyObject_GC_TRACK(f);
return f;
}
// Initialize frame free variables if needed
static void
frame_init_get_vars(_PyInterpreterFrame *frame)
{
// COPY_FREE_VARS has no quickened forms, so no need to use _PyOpcode_Deopt
// here:
PyCodeObject *co = _PyFrame_GetCode(frame);
int lasti = _PyInterpreterFrame_LASTI(frame);
if (!(lasti < 0
&& _PyFrame_GetBytecode(frame)->op.code == COPY_FREE_VARS
&& PyStackRef_FunctionCheck(frame->f_funcobj)))
{
/* Free vars are initialized */
return;
}
/* Free vars have not been initialized -- Do that */
PyFunctionObject *func = _PyFrame_GetFunction(frame);
PyObject *closure = func->func_closure;
int offset = PyUnstable_Code_GetFirstFree(co);
for (int i = 0; i < co->co_nfreevars; ++i) {
PyObject *o = PyTuple_GET_ITEM(closure, i);
frame->localsplus[offset + i] = PyStackRef_FromPyObjectNew(o);
}
// COPY_FREE_VARS doesn't have inline CACHEs, either:
frame->instr_ptr = _PyFrame_GetBytecode(frame);
}
static int
frame_get_var(_PyInterpreterFrame *frame, PyCodeObject *co, int i,
PyObject **pvalue)
{
_PyLocals_Kind kind = _PyLocals_GetKind(co->co_localspluskinds, i);
/* If the namespace is unoptimized, then one of the
following cases applies:
1. It does not contain free variables, because it
uses import * or is a top-level namespace.
2. It is a class namespace.
We don't want to accidentally copy free variables
into the locals dict used by the class.
*/
if (kind & CO_FAST_FREE && !(co->co_flags & CO_OPTIMIZED)) {
return 0;
}
PyObject *value = NULL;
if (frame->stackpointer == NULL || frame->stackpointer > frame->localsplus + i) {
value = PyStackRef_AsPyObjectBorrow(frame->localsplus[i]);
if (kind & CO_FAST_FREE) {
// The cell was set by COPY_FREE_VARS.
assert(value != NULL && PyCell_Check(value));
value = PyCell_GetRef((PyCellObject *)value);
}
else if (kind & CO_FAST_CELL) {
if (value != NULL) {
if (PyCell_Check(value)) {
assert(!_PyFrame_IsIncomplete(frame));
value = PyCell_GetRef((PyCellObject *)value);
}
else {
// (likely) Otherwise it is an arg (kind & CO_FAST_LOCAL),
// with the initial value set when the frame was created...
// (unlikely) ...or it was set via the f_locals proxy.
Py_INCREF(value);
}
}
}
else {
Py_XINCREF(value);
}
}
*pvalue = value;
return 1;
}
bool
_PyFrame_HasHiddenLocals(_PyInterpreterFrame *frame)
{
/*
* This function returns if there are hidden locals introduced by PEP 709,
* which are the isolated fast locals for inline comprehensions
*/
PyCodeObject* co = _PyFrame_GetCode(frame);
for (int i = 0; i < co->co_nlocalsplus; i++) {
_PyLocals_Kind kind = _PyLocals_GetKind(co->co_localspluskinds, i);
if (kind & CO_FAST_HIDDEN) {
if (framelocalsproxy_hasval(frame, co, i)) {
return true;
}
}
}
return false;
}
PyObject *
_PyFrame_GetLocals(_PyInterpreterFrame *frame)
{
// We should try to avoid creating the FrameObject if possible.
// So we check if the frame is a module or class level scope
PyCodeObject *co = _PyFrame_GetCode(frame);
if (!(co->co_flags & CO_OPTIMIZED) && !_PyFrame_HasHiddenLocals(frame)) {
if (frame->f_locals == NULL) {
// We found cases when f_locals is NULL for non-optimized code.
// We fill the f_locals with an empty dict to avoid crash until
// we find the root cause.
frame->f_locals = PyDict_New();
if (frame->f_locals == NULL) {
return NULL;
}
}
return Py_NewRef(frame->f_locals);
}
PyFrameObject* f = _PyFrame_GetFrameObject(frame);
return _PyFrameLocalsProxy_New(f);
}
PyObject *
PyFrame_GetVar(PyFrameObject *frame_obj, PyObject *name)
{
if (!PyUnicode_Check(name)) {
PyErr_Format(PyExc_TypeError, "name must be str, not %s",
Py_TYPE(name)->tp_name);
return NULL;
}
_PyInterpreterFrame *frame = frame_obj->f_frame;
frame_init_get_vars(frame);
PyCodeObject *co = _PyFrame_GetCode(frame);
for (int i = 0; i < co->co_nlocalsplus; i++) {
PyObject *var_name = PyTuple_GET_ITEM(co->co_localsplusnames, i);
if (!_PyUnicode_Equal(var_name, name)) {
continue;
}
PyObject *value;
if (!frame_get_var(frame, co, i, &value)) {
break;
}
if (value == NULL) {
break;
}
return value;
}
PyErr_Format(PyExc_NameError, "variable %R does not exist", name);
return NULL;
}
PyObject *
PyFrame_GetVarString(PyFrameObject *frame, const char *name)
{
PyObject *name_obj = PyUnicode_FromString(name);
if (name_obj == NULL) {
return NULL;
}
PyObject *value = PyFrame_GetVar(frame, name_obj);
Py_DECREF(name_obj);
return value;
}
int
PyFrame_FastToLocalsWithError(PyFrameObject *f)
{
// Nothing to do here, as f_locals is now a write-through proxy in
// optimized frames. Soft-deprecated, since there's no maintenance hassle.
return 0;
}
void
PyFrame_FastToLocals(PyFrameObject *f)
{
// Nothing to do here, as f_locals is now a write-through proxy in
// optimized frames. Soft-deprecated, since there's no maintenance hassle.
return;
}
void
PyFrame_LocalsToFast(PyFrameObject *f, int clear)
{
// Nothing to do here, as f_locals is now a write-through proxy in
// optimized frames. Soft-deprecated, since there's no maintenance hassle.
return;
}
int
_PyFrame_IsEntryFrame(PyFrameObject *frame)
{
assert(frame != NULL);
_PyInterpreterFrame *f = frame->f_frame;
assert(!_PyFrame_IsIncomplete(f));
return f->previous && f->previous->owner == FRAME_OWNED_BY_INTERPRETER;
}
PyCodeObject *
PyFrame_GetCode(PyFrameObject *frame)
{
assert(frame != NULL);
PyObject *code;
Py_BEGIN_CRITICAL_SECTION(frame);
assert(!_PyFrame_IsIncomplete(frame->f_frame));
code = Py_NewRef(_PyFrame_GetCode(frame->f_frame));
Py_END_CRITICAL_SECTION();
return (PyCodeObject *)code;
}
PyFrameObject*
PyFrame_GetBack(PyFrameObject *frame)
{
assert(frame != NULL);
assert(!_PyFrame_IsIncomplete(frame->f_frame));
PyFrameObject *back = frame->f_back;
if (back == NULL) {
_PyInterpreterFrame *prev = frame->f_frame->previous;
prev = _PyFrame_GetFirstComplete(prev);
if (prev) {
back = _PyFrame_GetFrameObject(prev);
}
}
return (PyFrameObject*)Py_XNewRef(back);
}
PyObject*
PyFrame_GetLocals(PyFrameObject *frame)
{
assert(!_PyFrame_IsIncomplete(frame->f_frame));
return frame_locals_get((PyObject *)frame, NULL);
}
PyObject*
PyFrame_GetGlobals(PyFrameObject *frame)
{
assert(!_PyFrame_IsIncomplete(frame->f_frame));
return frame_globals_get((PyObject *)frame, NULL);
}
PyObject*
PyFrame_GetBuiltins(PyFrameObject *frame)
{
assert(!_PyFrame_IsIncomplete(frame->f_frame));
return frame_builtins_get((PyObject *)frame, NULL);
}
int
PyFrame_GetLasti(PyFrameObject *frame)
{
int ret;
Py_BEGIN_CRITICAL_SECTION(frame);
assert(!_PyFrame_IsIncomplete(frame->f_frame));
int lasti = _PyInterpreterFrame_LASTI(frame->f_frame);
ret = lasti < 0 ? -1 : lasti * (int)sizeof(_Py_CODEUNIT);
Py_END_CRITICAL_SECTION();
return ret;
}
PyObject *
PyFrame_GetGenerator(PyFrameObject *frame)
{
assert(!_PyFrame_IsIncomplete(frame->f_frame));
return frame_generator_get((PyObject *)frame, NULL);
}

/* PickleBuffer object implementation */
#include "Python.h"
#include "pycore_weakref.h"     // FT_CLEAR_WEAKREFS()
#include <stddef.h>
typedef struct {
PyObject_HEAD
/* The view exported by the original object */
Py_buffer view;
PyObject *weakreflist;
} PyPickleBufferObject;
/* C API */
PyObject *
PyPickleBuffer_FromObject(PyObject *base)
{
PyTypeObject *type = &PyPickleBuffer_Type;
PyPickleBufferObject *self;
self = (PyPickleBufferObject *) type->tp_alloc(type, 0);
if (self == NULL) {
return NULL;
}
self->view.obj = NULL;
self->weakreflist = NULL;
if (PyObject_GetBuffer(base, &self->view, PyBUF_FULL_RO) < 0) {
Py_DECREF(self);
return NULL;
}
return (PyObject *) self;
}
const Py_buffer *
PyPickleBuffer_GetBuffer(PyObject *obj)
{
PyPickleBufferObject *self = (PyPickleBufferObject *) obj;
if (!PyPickleBuffer_Check(obj)) {
PyErr_Format(PyExc_TypeError,
"expected PickleBuffer, %.200s found",
Py_TYPE(obj)->tp_name);
return NULL;
}
if (self->view.obj == NULL) {
PyErr_SetString(PyExc_ValueError,
"operation forbidden on released PickleBuffer object");
return NULL;
}
return &self->view;
}
int
PyPickleBuffer_Release(PyObject *obj)
{
PyPickleBufferObject *self = (PyPickleBufferObject *) obj;
if (!PyPickleBuffer_Check(obj)) {
PyErr_Format(PyExc_TypeError,
"expected PickleBuffer, %.200s found",
Py_TYPE(obj)->tp_name);
return -1;
}
PyBuffer_Release(&self->view);
return 0;
}
static PyObject *
picklebuf_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
PyPickleBufferObject *self;
PyObject *base;
char *keywords[] = {"", NULL};
if (!PyArg_ParseTupleAndKeywords(args, kwds, "O:PickleBuffer",
keywords, &base)) {
return NULL;
}
self = (PyPickleBufferObject *) type->tp_alloc(type, 0);
if (self == NULL) {
return NULL;
}
self->view.obj = NULL;
self->weakreflist = NULL;
if (PyObject_GetBuffer(base, &self->view, PyBUF_FULL_RO) < 0) {
Py_DECREF(self);
return NULL;
}
return (PyObject *) self;
}
static int
picklebuf_traverse(PyObject *op, visitproc visit, void *arg)
{
PyPickleBufferObject *self = (PyPickleBufferObject*)op;
Py_VISIT(self->view.obj);
return 0;
}
static int
picklebuf_clear(PyObject *op)
{
PyPickleBufferObject *self = (PyPickleBufferObject*)op;
PyBuffer_Release(&self->view);
return 0;
}
static void
picklebuf_dealloc(PyObject *op)
{
PyPickleBufferObject *self = (PyPickleBufferObject*)op;
PyObject_GC_UnTrack(self);
FT_CLEAR_WEAKREFS(op, self->weakreflist);
PyBuffer_Release(&self->view);
Py_TYPE(self)->tp_free((PyObject *) self);
}
/* Buffer API */
static int
picklebuf_getbuf(PyObject *op, Py_buffer *view, int flags)
{
PyPickleBufferObject *self = (PyPickleBufferObject*)op;
if (self->view.obj == NULL) {
PyErr_SetString(PyExc_ValueError,
"operation forbidden on released PickleBuffer object");
return -1;
}
return PyObject_GetBuffer(self->view.obj, view, flags);
}
static void
picklebuf_releasebuf(PyObject *self, Py_buffer *view)
{
/* Since our bf_getbuffer redirects to the original object, this
* implementation is never called.  It only exists to signal that
* buffers exported by PickleBuffer have non-trivial releasing
* behaviour (see check in Python/getargs.c).
*/
}
static PyBufferProcs picklebuf_as_buffer = {
.bf_getbuffer = picklebuf_getbuf,
.bf_releasebuffer = picklebuf_releasebuf,
};
/* Methods */
static PyObject *
picklebuf_raw(PyObject *op, PyObject *Py_UNUSED(ignored))
{
PyPickleBufferObject *self = (PyPickleBufferObject*)op;
if (self->view.obj == NULL) {
PyErr_SetString(PyExc_ValueError,
"operation forbidden on released PickleBuffer object");
return NULL;
}
if (self->view.suboffsets != NULL
|| !PyBuffer_IsContiguous(&self->view, 'A')) {
PyErr_SetString(PyExc_BufferError,
"cannot extract raw buffer from non-contiguous buffer");
return NULL;
}
PyObject *m = PyMemoryView_FromObject((PyObject *) self);
if (m == NULL) {
return NULL;
}
PyMemoryViewObject *mv = (PyMemoryViewObject *) m;
assert(mv->view.suboffsets == NULL);
/* Mutate memoryview instance to make it a "raw" memoryview */
mv->view.format = "B";
mv->view.ndim = 1;
mv->view.itemsize = 1;
/* shape = (length,) */
mv->view.shape = &mv->view.len;
/* strides = (1,) */
mv->view.strides = &mv->view.itemsize;
/* Fix memoryview state flags */
/* XXX Expose memoryobject.c's init_flags() instead? */
mv->flags = _Py_MEMORYVIEW_C | _Py_MEMORYVIEW_FORTRAN;
return m;
}
PyDoc_STRVAR(picklebuf_raw_doc,
"raw($self, /)\n--\n\
\n\
Return a memoryview of the raw memory underlying this buffer.\n\
Will raise BufferError is the buffer isn't contiguous.");
static PyObject *
picklebuf_release(PyObject *op, PyObject *Py_UNUSED(ignored))
{
PyPickleBufferObject *self = (PyPickleBufferObject*)op;
PyBuffer_Release(&self->view);
Py_RETURN_NONE;
}
PyDoc_STRVAR(picklebuf_release_doc,
"release($self, /)\n--\n\
\n\
Release the underlying buffer exposed by the PickleBuffer object.");
static PyMethodDef picklebuf_methods[] = {
{"raw",     picklebuf_raw,     METH_NOARGS, picklebuf_raw_doc},
{"release", picklebuf_release, METH_NOARGS, picklebuf_release_doc},
{NULL,      NULL}
};
PyTypeObject PyPickleBuffer_Type = {
PyVarObject_HEAD_INIT(NULL, 0)
.tp_name = "pickle.PickleBuffer",
.tp_doc = PyDoc_STR("Wrapper for potentially out-of-band buffers"),
.tp_basicsize = sizeof(PyPickleBufferObject),
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
.tp_new = picklebuf_new,
.tp_dealloc = picklebuf_dealloc,
.tp_traverse = picklebuf_traverse,
.tp_clear = picklebuf_clear,
.tp_weaklistoffset = offsetof(PyPickleBufferObject, weakreflist),
.tp_as_buffer = &picklebuf_as_buffer,
.tp_methods = picklebuf_methods,
};

/*
* Memoryview object implementation
* --------------------------------
*
*   This implementation is a complete rewrite contributed by Stefan Krah in
*   Python 3.3.  Substantial credit goes to Antoine Pitrou (who had already
*   fortified and rewritten the previous implementation) and Nick Coghlan
*   (who came up with the idea of the ManagedBuffer) for analyzing the complex
*   ownership rules.
*
*/
#include "Python.h"
#include "pycore_abstract.h"      // _PyIndex_Check()
#include "pycore_memoryobject.h"  // _PyManagedBuffer_Type
#include "pycore_object.h"        // _PyObject_GC_UNTRACK()
#include "pycore_strhex.h"        // _Py_strhex_with_sep()
#include <stddef.h>               // offsetof()
/*[clinic input]
class memoryview "PyMemoryViewObject *" "&PyMemoryView_Type"
[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=e2e49d2192835219]*/
#include "clinic/memoryobject.c.h"
/****************************************************************************/
/*                           ManagedBuffer Object                           */
/****************************************************************************/
/*
ManagedBuffer Object:
---------------------
The purpose of this object is to facilitate the handling of chained
memoryviews that have the same underlying exporting object. PEP-3118
allows the underlying object to change while a view is exported. This
could lead to unexpected results when constructing a new memoryview
from an existing memoryview.
Rather than repeatedly redirecting buffer requests to the original base
object, all chained memoryviews use a single buffer snapshot. This
snapshot is generated by the constructor _PyManagedBuffer_FromObject().
Ownership rules:
----------------
The master buffer inside a managed buffer is filled in by the original
base object. shape, strides, suboffsets and format are read-only for
all consumers.
A memoryview's buffer is a private copy of the exporter's buffer. shape,
strides and suboffsets belong to the memoryview and are thus writable.
If a memoryview itself exports several buffers via memory_getbuf(), all
buffer copies share shape, strides and suboffsets. In this case, the
arrays are NOT writable.
Reference count assumptions:
----------------------------
The 'obj' member of a Py_buffer must either be NULL or refer to the
exporting base object. In the Python codebase, all getbufferprocs
return a new reference to view.obj (example: bytes_buffer_getbuffer()).
PyBuffer_Release() decrements view.obj (if non-NULL), so the
releasebufferprocs must NOT decrement view.obj.
*/
static inline _PyManagedBufferObject *
mbuf_alloc(void)
{
_PyManagedBufferObject *mbuf;
mbuf = (_PyManagedBufferObject *)
PyObject_GC_New(_PyManagedBufferObject, &_PyManagedBuffer_Type);
if (mbuf == NULL)
return NULL;
mbuf->flags = 0;
mbuf->exports = 0;
mbuf->master.obj = NULL;
_PyObject_GC_TRACK(mbuf);
return mbuf;
}
static PyObject *
_PyManagedBuffer_FromObject(PyObject *base, int flags)
{
_PyManagedBufferObject *mbuf;
mbuf = mbuf_alloc();
if (mbuf == NULL)
return NULL;
if (PyObject_GetBuffer(base, &mbuf->master, flags) < 0) {
mbuf->master.obj = NULL;
Py_DECREF(mbuf);
return NULL;
}
return (PyObject *)mbuf;
}
static void
mbuf_release(_PyManagedBufferObject *self)
{
if (self->flags&_Py_MANAGED_BUFFER_RELEASED)
return;
self->flags |= _Py_MANAGED_BUFFER_RELEASED;
/* PyBuffer_Release() decrements master->obj and sets it to NULL. */
_PyObject_GC_UNTRACK(self);
PyBuffer_Release(&self->master);
}
static void
mbuf_dealloc(PyObject *_self)
{
_PyManagedBufferObject *self = (_PyManagedBufferObject *)_self;
assert(self->exports == 0);
mbuf_release(self);
if (self->flags&_Py_MANAGED_BUFFER_FREE_FORMAT)
PyMem_Free(self->master.format);
PyObject_GC_Del(self);
}
static int
mbuf_traverse(PyObject *_self, visitproc visit, void *arg)
{
_PyManagedBufferObject *self = (_PyManagedBufferObject *)_self;
Py_VISIT(self->master.obj);
return 0;
}
static int
mbuf_clear(PyObject *_self)
{
_PyManagedBufferObject *self = (_PyManagedBufferObject *)_self;
assert(self->exports >= 0);
mbuf_release(self);
return 0;
}
PyTypeObject _PyManagedBuffer_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
"managedbuffer",
sizeof(_PyManagedBufferObject),
0,
mbuf_dealloc,                            /* tp_dealloc */
0,                                       /* tp_vectorcall_offset */
0,                                       /* tp_getattr */
0,                                       /* tp_setattr */
0,                                       /* tp_as_async */
0,                                       /* tp_repr */
0,                                       /* tp_as_number */
0,                                       /* tp_as_sequence */
0,                                       /* tp_as_mapping */
0,                                       /* tp_hash */
0,                                       /* tp_call */
0,                                       /* tp_str */
PyObject_GenericGetAttr,                 /* tp_getattro */
0,                                       /* tp_setattro */
0,                                       /* tp_as_buffer */
Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags */
0,                                       /* tp_doc */
mbuf_traverse,                           /* tp_traverse */
mbuf_clear                               /* tp_clear */
};
/****************************************************************************/
/*                             MemoryView Object                            */
/****************************************************************************/
/* In the process of breaking reference cycles mbuf_release() can be
called before memory_release(). */
#define BASE_INACCESSIBLE(mv) \
(((PyMemoryViewObject *)mv)->flags&_Py_MEMORYVIEW_RELEASED || \
((PyMemoryViewObject *)mv)->mbuf->flags&_Py_MANAGED_BUFFER_RELEASED)
#define CHECK_RELEASED(mv) \
if (BASE_INACCESSIBLE(mv)) {                                  \
PyErr_SetString(PyExc_ValueError,                         \
"operation forbidden on released memoryview object"); \
return NULL;                                              \
}
#define CHECK_RELEASED_INT(mv) \
if (BASE_INACCESSIBLE(mv)) {                                  \
PyErr_SetString(PyExc_ValueError,                         \
"operation forbidden on released memoryview object"); \
return -1;                                                \
}
#define CHECK_RESTRICTED(mv) \
if (((PyMemoryViewObject *)(mv))->flags & _Py_MEMORYVIEW_RESTRICTED) { \
PyErr_SetString(PyExc_ValueError,                                  \
"cannot create new view on restricted memoryview");            \
return NULL;                                                       \
}
#define CHECK_RESTRICTED_INT(mv) \
if (((PyMemoryViewObject *)(mv))->flags & _Py_MEMORYVIEW_RESTRICTED) { \
PyErr_SetString(PyExc_ValueError,                                  \
"cannot create new view on restricted memoryview");            \
return -1;                                                       \
}
/* See gh-92888. These macros signal that we need to check the memoryview
again due to possible read after frees. */
#define CHECK_RELEASED_AGAIN(mv) CHECK_RELEASED(mv)
#define CHECK_RELEASED_INT_AGAIN(mv) CHECK_RELEASED_INT(mv)
#define CHECK_LIST_OR_TUPLE(v) \
if (!PyList_Check(v) && !PyTuple_Check(v)) { \
PyErr_SetString(PyExc_TypeError,         \
#v " must be a list or a tuple");    \
return NULL;                             \
}
#define VIEW_ADDR(mv) (&((PyMemoryViewObject *)mv)->view)
/* Check for the presence of suboffsets in the first dimension. */
#define HAVE_PTR(suboffsets, dim) (suboffsets && suboffsets[dim] >= 0)
/* Adjust ptr if suboffsets are present. */
#define ADJUST_PTR(ptr, suboffsets, dim) \
(HAVE_PTR(suboffsets, dim) ? *((char**)ptr) + suboffsets[dim] : ptr)
/* Memoryview buffer properties */
#define MV_C_CONTIGUOUS(flags) (flags&(_Py_MEMORYVIEW_SCALAR|_Py_MEMORYVIEW_C))
#define MV_F_CONTIGUOUS(flags) \
(flags&(_Py_MEMORYVIEW_SCALAR|_Py_MEMORYVIEW_FORTRAN))
#define MV_ANY_CONTIGUOUS(flags) \
(flags&(_Py_MEMORYVIEW_SCALAR|_Py_MEMORYVIEW_C|_Py_MEMORYVIEW_FORTRAN))
/* Fast contiguity test. Caller must ensure suboffsets==NULL and ndim==1. */
#define MV_CONTIGUOUS_NDIM1(view) \
((view)->shape[0] == 1 || (view)->strides[0] == (view)->itemsize)
/* getbuffer() requests */
#define REQ_INDIRECT(flags) ((flags&PyBUF_INDIRECT) == PyBUF_INDIRECT)
#define REQ_C_CONTIGUOUS(flags) ((flags&PyBUF_C_CONTIGUOUS) == PyBUF_C_CONTIGUOUS)
#define REQ_F_CONTIGUOUS(flags) ((flags&PyBUF_F_CONTIGUOUS) == PyBUF_F_CONTIGUOUS)
#define REQ_ANY_CONTIGUOUS(flags) ((flags&PyBUF_ANY_CONTIGUOUS) == PyBUF_ANY_CONTIGUOUS)
#define REQ_STRIDES(flags) ((flags&PyBUF_STRIDES) == PyBUF_STRIDES)
#define REQ_SHAPE(flags) ((flags&PyBUF_ND) == PyBUF_ND)
#define REQ_WRITABLE(flags) (flags&PyBUF_WRITABLE)
#define REQ_FORMAT(flags) (flags&PyBUF_FORMAT)
/**************************************************************************/
/*                       Copy memoryview buffers                          */
/**************************************************************************/
/* The functions in this section take a source and a destination buffer
with the same logical structure: format, itemsize, ndim and shape
are identical, with ndim > 0.
NOTE: All buffers are assumed to have PyBUF_FULL information, which
is the case for memoryviews! */
/* Assumptions: ndim >= 1. The macro tests for a corner case that should
perhaps be explicitly forbidden in the PEP. */
#define HAVE_SUBOFFSETS_IN_LAST_DIM(view) \
(view->suboffsets && view->suboffsets[view->ndim-1] >= 0)
static inline int
last_dim_is_contiguous(const Py_buffer *dest, const Py_buffer *src)
{
assert(dest->ndim > 0 && src->ndim > 0);
return (!HAVE_SUBOFFSETS_IN_LAST_DIM(dest) &&
!HAVE_SUBOFFSETS_IN_LAST_DIM(src) &&
dest->strides[dest->ndim-1] == dest->itemsize &&
src->strides[src->ndim-1] == src->itemsize);
}
/* This is not a general function for determining format equivalence.
It is used in copy_single() and copy_buffer() to weed out non-matching
formats. Skipping the '@' character is specifically used in slice
assignments, where the lvalue is already known to have a single character
format. This is a performance hack that could be rewritten (if properly
benchmarked). */
static inline int
equiv_format(const Py_buffer *dest, const Py_buffer *src)
{
const char *dfmt, *sfmt;
assert(dest->format && src->format);
dfmt = dest->format[0] == '@' ? dest->format+1 : dest->format;
sfmt = src->format[0] == '@' ? src->format+1 : src->format;
if (strcmp(dfmt, sfmt) != 0 ||
dest->itemsize != src->itemsize) {
return 0;
}
return 1;
}
/* Two shapes are equivalent if they are either equal or identical up
to a zero element at the same position. For example, in NumPy arrays
the shapes [1, 0, 5] and [1, 0, 7] are equivalent. */
static inline int
equiv_shape(const Py_buffer *dest, const Py_buffer *src)
{
int i;
if (dest->ndim != src->ndim)
return 0;
for (i = 0; i < dest->ndim; i++) {
if (dest->shape[i] != src->shape[i])
return 0;
if (dest->shape[i] == 0)
break;
}
return 1;
}
/* Check that the logical structure of the destination and source buffers
is identical. */
static int
equiv_structure(const Py_buffer *dest, const Py_buffer *src)
{
if (!equiv_format(dest, src) ||
!equiv_shape(dest, src)) {
PyErr_SetString(PyExc_ValueError,
"memoryview assignment: lvalue and rvalue have different "
"structures");
return 0;
}
return 1;
}
/* Base case for recursive multi-dimensional copying. Contiguous arrays are
copied with very little overhead. Assumptions: ndim == 1, mem == NULL or
sizeof(mem) == shape[0] * itemsize. */
static void
copy_base(const Py_ssize_t *shape, Py_ssize_t itemsize,
char *dptr, const Py_ssize_t *dstrides, const Py_ssize_t *dsuboffsets,
char *sptr, const Py_ssize_t *sstrides, const Py_ssize_t *ssuboffsets,
char *mem)
{
if (mem == NULL) { /* contiguous */
Py_ssize_t size = shape[0] * itemsize;
if (dptr + size < sptr || sptr + size < dptr)
memcpy(dptr, sptr, size); /* no overlapping */
else
memmove(dptr, sptr, size);
}
else {
char *p;
Py_ssize_t i;
for (i=0, p=mem; i < shape[0]; p+=itemsize, sptr+=sstrides[0], i++) {
char *xsptr = ADJUST_PTR(sptr, ssuboffsets, 0);
memcpy(p, xsptr, itemsize);
}
for (i=0, p=mem; i < shape[0]; p+=itemsize, dptr+=dstrides[0], i++) {
char *xdptr = ADJUST_PTR(dptr, dsuboffsets, 0);
memcpy(xdptr, p, itemsize);
}
}
}
/* Recursively copy a source buffer to a destination buffer. The two buffers
have the same ndim, shape and itemsize. */
static void
copy_rec(const Py_ssize_t *shape, Py_ssize_t ndim, Py_ssize_t itemsize,
char *dptr, const Py_ssize_t *dstrides, const Py_ssize_t *dsuboffsets,
char *sptr, const Py_ssize_t *sstrides, const Py_ssize_t *ssuboffsets,
char *mem)
{
Py_ssize_t i;
assert(ndim >= 1);
if (ndim == 1) {
copy_base(shape, itemsize,
dptr, dstrides, dsuboffsets,
sptr, sstrides, ssuboffsets,
mem);
return;
}
for (i = 0; i < shape[0]; dptr+=dstrides[0], sptr+=sstrides[0], i++) {
char *xdptr = ADJUST_PTR(dptr, dsuboffsets, 0);
char *xsptr = ADJUST_PTR(sptr, ssuboffsets, 0);
copy_rec(shape+1, ndim-1, itemsize,
xdptr, dstrides+1, dsuboffsets ? dsuboffsets+1 : NULL,
xsptr, sstrides+1, ssuboffsets ? ssuboffsets+1 : NULL,
mem);
}
}
/* Faster copying of one-dimensional arrays. */
static int
copy_single(PyMemoryViewObject *self, const Py_buffer *dest, const Py_buffer *src)
{
CHECK_RELEASED_INT_AGAIN(self);
char *mem = NULL;
assert(dest->ndim == 1);
if (!equiv_structure(dest, src))
return -1;
if (!last_dim_is_contiguous(dest, src)) {
mem = PyMem_Malloc(dest->shape[0] * dest->itemsize);
if (mem == NULL) {
PyErr_NoMemory();
return -1;
}
}
copy_base(dest->shape, dest->itemsize,
dest->buf, dest->strides, dest->suboffsets,
src->buf, src->strides, src->suboffsets,
mem);
if (mem)
PyMem_Free(mem);
return 0;
}
/* Recursively copy src to dest. Both buffers must have the same basic
structure. Copying is atomic, the function never fails with a partial
copy. */
static int
copy_buffer(const Py_buffer *dest, const Py_buffer *src)
{
char *mem = NULL;
assert(dest->ndim > 0);
if (!equiv_structure(dest, src))
return -1;
if (!last_dim_is_contiguous(dest, src)) {
mem = PyMem_Malloc(dest->shape[dest->ndim-1] * dest->itemsize);
if (mem == NULL) {
PyErr_NoMemory();
return -1;
}
}
copy_rec(dest->shape, dest->ndim, dest->itemsize,
dest->buf, dest->strides, dest->suboffsets,
src->buf, src->strides, src->suboffsets,
mem);
if (mem)
PyMem_Free(mem);
return 0;
}
/* Initialize strides for a C-contiguous array. */
static inline void
init_strides_from_shape(Py_buffer *view)
{
Py_ssize_t i;
assert(view->ndim > 0);
view->strides[view->ndim-1] = view->itemsize;
for (i = view->ndim-2; i >= 0; i--)
view->strides[i] = view->strides[i+1] * view->shape[i+1];
}
/* Initialize strides for a Fortran-contiguous array. */
static inline void
init_fortran_strides_from_shape(Py_buffer *view)
{
Py_ssize_t i;
assert(view->ndim > 0);
view->strides[0] = view->itemsize;
for (i = 1; i < view->ndim; i++)
view->strides[i] = view->strides[i-1] * view->shape[i-1];
}
/* Copy src to a contiguous representation. order is one of 'C', 'F' (Fortran)
or 'A' (Any). Assumptions: src has PyBUF_FULL information, src->ndim >= 1,
len(mem) == src->len. */
static int
buffer_to_contiguous(char *mem, const Py_buffer *src, char order)
{
Py_buffer dest;
Py_ssize_t *strides;
int ret;
assert(src->ndim >= 1);
assert(src->shape != NULL);
assert(src->strides != NULL);
strides = PyMem_Malloc(src->ndim * (sizeof *src->strides));
if (strides == NULL) {
PyErr_NoMemory();
return -1;
}
/* initialize dest */
dest = *src;
dest.buf = mem;
/* shape is constant and shared: the logical representation of the
array is unaltered. */
/* The physical representation determined by strides (and possibly
suboffsets) may change. */
dest.strides = strides;
if (order == 'C' || order == 'A') {
init_strides_from_shape(&dest);
}
else {
init_fortran_strides_from_shape(&dest);
}
dest.suboffsets = NULL;
ret = copy_buffer(&dest, src);
PyMem_Free(strides);
return ret;
}
/****************************************************************************/
/*                               Constructors                               */
/****************************************************************************/
/* Initialize values that are shared with the managed buffer. */
static inline void
init_shared_values(Py_buffer *dest, const Py_buffer *src)
{
dest->obj = src->obj;
dest->buf = src->buf;
dest->len = src->len;
dest->itemsize = src->itemsize;
dest->readonly = src->readonly;
dest->format = src->format ? src->format : "B";
dest->internal = src->internal;
}
/* Copy shape and strides. Reconstruct missing values. */
static void
init_shape_strides(Py_buffer *dest, const Py_buffer *src)
{
Py_ssize_t i;
if (src->ndim == 0) {
dest->shape = NULL;
dest->strides = NULL;
return;
}
if (src->ndim == 1) {
dest->shape[0] = src->shape ? src->shape[0] : src->len / src->itemsize;
dest->strides[0] = src->strides ? src->strides[0] : src->itemsize;
return;
}
for (i = 0; i < src->ndim; i++)
dest->shape[i] = src->shape[i];
if (src->strides) {
for (i = 0; i < src->ndim; i++)
dest->strides[i] = src->strides[i];
}
else {
init_strides_from_shape(dest);
}
}
static inline void
init_suboffsets(Py_buffer *dest, const Py_buffer *src)
{
Py_ssize_t i;
if (src->suboffsets == NULL) {
dest->suboffsets = NULL;
return;
}
for (i = 0; i < src->ndim; i++)
dest->suboffsets[i] = src->suboffsets[i];
}
/* len = product(shape) * itemsize */
static inline void
init_len(Py_buffer *view)
{
Py_ssize_t i, len;
len = 1;
for (i = 0; i < view->ndim; i++)
len *= view->shape[i];
len *= view->itemsize;
view->len = len;
}
/* Initialize memoryview buffer properties. */
static void
init_flags(PyMemoryViewObject *mv)
{
const Py_buffer *view = &mv->view;
int flags = 0;
switch (view->ndim) {
case 0:
flags |= (_Py_MEMORYVIEW_SCALAR|_Py_MEMORYVIEW_C|
_Py_MEMORYVIEW_FORTRAN);
break;
case 1:
if (MV_CONTIGUOUS_NDIM1(view))
flags |= (_Py_MEMORYVIEW_C|_Py_MEMORYVIEW_FORTRAN);
break;
default:
if (PyBuffer_IsContiguous(view, 'C'))
flags |= _Py_MEMORYVIEW_C;
if (PyBuffer_IsContiguous(view, 'F'))
flags |= _Py_MEMORYVIEW_FORTRAN;
break;
}
if (view->suboffsets) {
flags |= _Py_MEMORYVIEW_PIL;
flags &= ~(_Py_MEMORYVIEW_C|_Py_MEMORYVIEW_FORTRAN);
}
mv->flags = flags;
}
/* Allocate a new memoryview and perform basic initialization. New memoryviews
are exclusively created through the mbuf_add functions. */
static inline PyMemoryViewObject *
memory_alloc(int ndim)
{
PyMemoryViewObject *mv;
mv = (PyMemoryViewObject *)
PyObject_GC_NewVar(PyMemoryViewObject, &PyMemoryView_Type, 3*ndim);
if (mv == NULL)
return NULL;
mv->mbuf = NULL;
mv->hash = -1;
mv->flags = 0;
mv->exports = 0;
mv->view.ndim = ndim;
mv->view.shape = mv->ob_array;
mv->view.strides = mv->ob_array + ndim;
mv->view.suboffsets = mv->ob_array + 2 * ndim;
mv->weakreflist = NULL;
_PyObject_GC_TRACK(mv);
return mv;
}
/*
Return a new memoryview that is registered with mbuf. If src is NULL,
use mbuf->master as the underlying buffer. Otherwise, use src.
The new memoryview has full buffer information: shape and strides
are always present, suboffsets as needed. Arrays are copied to
the memoryview's ob_array field.
*/
static PyObject *
mbuf_add_view(_PyManagedBufferObject *mbuf, const Py_buffer *src)
{
PyMemoryViewObject *mv;
Py_buffer *dest;
if (src == NULL)
src = &mbuf->master;
if (src->ndim > PyBUF_MAX_NDIM) {
PyErr_SetString(PyExc_ValueError,
"memoryview: number of dimensions must not exceed "
Py_STRINGIFY(PyBUF_MAX_NDIM));
return NULL;
}
mv = memory_alloc(src->ndim);
if (mv == NULL)
return NULL;
dest = &mv->view;
init_shared_values(dest, src);
init_shape_strides(dest, src);
init_suboffsets(dest, src);
init_flags(mv);
mv->mbuf = (_PyManagedBufferObject*)Py_NewRef(mbuf);
mbuf->exports++;
return (PyObject *)mv;
}
/* Register an incomplete view: shape, strides, suboffsets and flags still
need to be initialized. Use 'ndim' instead of src->ndim to determine the
size of the memoryview's ob_array.
Assumption: ndim <= PyBUF_MAX_NDIM. */
static PyObject *
mbuf_add_incomplete_view(_PyManagedBufferObject *mbuf, const Py_buffer *src,
int ndim)
{
PyMemoryViewObject *mv;
Py_buffer *dest;
if (src == NULL)
src = &mbuf->master;
assert(ndim <= PyBUF_MAX_NDIM);
mv = memory_alloc(ndim);
if (mv == NULL)
return NULL;
dest = &mv->view;
init_shared_values(dest, src);
mv->mbuf = (_PyManagedBufferObject*)Py_NewRef(mbuf);
mbuf->exports++;
return (PyObject *)mv;
}
/* Expose a raw memory area as a view of contiguous bytes. flags can be
PyBUF_READ or PyBUF_WRITE. view->format is set to "B" (unsigned bytes).
The memoryview has complete buffer information. */
PyObject *
PyMemoryView_FromMemory(char *mem, Py_ssize_t size, int flags)
{
_PyManagedBufferObject *mbuf;
PyObject *mv;
int readonly;
assert(mem != NULL);
assert(flags == PyBUF_READ || flags == PyBUF_WRITE);
mbuf = mbuf_alloc();
if (mbuf == NULL)
return NULL;
readonly = (flags == PyBUF_WRITE) ? 0 : 1;
(void)PyBuffer_FillInfo(&mbuf->master, NULL, mem, size, readonly,
PyBUF_FULL_RO);
mv = mbuf_add_view(mbuf, NULL);
Py_DECREF(mbuf);
return mv;
}
/* Create a memoryview from a given Py_buffer. For simple byte views,
PyMemoryView_FromMemory() should be used instead.
This function is the only entry point that can create a master buffer
without full information. Because of this fact init_shape_strides()
must be able to reconstruct missing values.  */
PyObject *
PyMemoryView_FromBuffer(const Py_buffer *info)
{
_PyManagedBufferObject *mbuf;
PyObject *mv;
if (info->buf == NULL) {
PyErr_SetString(PyExc_ValueError,
"PyMemoryView_FromBuffer(): info->buf must not be NULL");
return NULL;
}
mbuf = mbuf_alloc();
if (mbuf == NULL)
return NULL;
/* info->obj is either NULL or a borrowed reference. This reference
should not be decremented in PyBuffer_Release(). */
mbuf->master = *info;
mbuf->master.obj = NULL;
mv = mbuf_add_view(mbuf, NULL);
Py_DECREF(mbuf);
return mv;
}
/* Create a memoryview from an object that implements the buffer protocol,
using the given flags.
If the object is a memoryview, the new memoryview must be registered
with the same managed buffer. Otherwise, a new managed buffer is created. */
static PyObject *
PyMemoryView_FromObjectAndFlags(PyObject *v, int flags)
{
_PyManagedBufferObject *mbuf;
if (PyMemoryView_Check(v)) {
PyMemoryViewObject *mv = (PyMemoryViewObject *)v;
CHECK_RELEASED(mv);
CHECK_RESTRICTED(mv);
return mbuf_add_view(mv->mbuf, &mv->view);
}
else if (PyObject_CheckBuffer(v)) {
PyObject *ret;
mbuf = (_PyManagedBufferObject *)_PyManagedBuffer_FromObject(v, flags);
if (mbuf == NULL)
return NULL;
ret = mbuf_add_view(mbuf, NULL);
Py_DECREF(mbuf);
return ret;
}
PyErr_Format(PyExc_TypeError,
"memoryview: a bytes-like object is required, not '%.200s'",
Py_TYPE(v)->tp_name);
return NULL;
}
/* Create a memoryview from an object that implements the buffer protocol,
using the given flags.
If the object is a memoryview, the new memoryview must be registered
with the same managed buffer. Otherwise, a new managed buffer is created. */
PyObject *
_PyMemoryView_FromBufferProc(PyObject *v, int flags, getbufferproc bufferproc)
{
_PyManagedBufferObject *mbuf = mbuf_alloc();
if (mbuf == NULL)
return NULL;
int res = bufferproc(v, &mbuf->master, flags);
if (res < 0) {
mbuf->master.obj = NULL;
Py_DECREF(mbuf);
return NULL;
}
PyObject *ret = mbuf_add_view(mbuf, NULL);
Py_DECREF(mbuf);
return ret;
}
/* Create a memoryview from an object that implements the buffer protocol.
If the object is a memoryview, the new memoryview must be registered
with the same managed buffer. Otherwise, a new managed buffer is created. */
PyObject *
PyMemoryView_FromObject(PyObject *v)
{
return PyMemoryView_FromObjectAndFlags(v, PyBUF_FULL_RO);
}
/* Copy the format string from a base object that might vanish. */
static int
mbuf_copy_format(_PyManagedBufferObject *mbuf, const char *fmt)
{
if (fmt != NULL) {
char *cp = PyMem_Malloc(strlen(fmt)+1);
if (cp == NULL) {
PyErr_NoMemory();
return -1;
}
mbuf->master.format = strcpy(cp, fmt);
mbuf->flags |= _Py_MANAGED_BUFFER_FREE_FORMAT;
}
return 0;
}
/*
Return a memoryview that is based on a contiguous copy of src.
Assumptions: src has PyBUF_FULL_RO information, src->ndim > 0.
Ownership rules:
1) As usual, the returned memoryview has a private copy
of src->shape, src->strides and src->suboffsets.
2) src->format is copied to the master buffer and released
in mbuf_dealloc(). The releasebufferproc of the bytes
object is NULL, so it does not matter that mbuf_release()
passes the altered format pointer to PyBuffer_Release().
*/
static PyObject *
memory_from_contiguous_copy(const Py_buffer *src, char order)
{
_PyManagedBufferObject *mbuf;
PyMemoryViewObject *mv;
PyObject *bytes;
Py_buffer *dest;
int i;
assert(src->ndim > 0);
assert(src->shape != NULL);
bytes = PyBytes_FromStringAndSize(NULL, src->len);
if (bytes == NULL)
return NULL;
mbuf = (_PyManagedBufferObject *)_PyManagedBuffer_FromObject(bytes, PyBUF_FULL_RO);
Py_DECREF(bytes);
if (mbuf == NULL)
return NULL;
if (mbuf_copy_format(mbuf, src->format) < 0) {
Py_DECREF(mbuf);
return NULL;
}
mv = (PyMemoryViewObject *)mbuf_add_incomplete_view(mbuf, NULL, src->ndim);
Py_DECREF(mbuf);
if (mv == NULL)
return NULL;
dest = &mv->view;
/* shared values are initialized correctly except for itemsize */
dest->itemsize = src->itemsize;
/* shape and strides */
for (i = 0; i < src->ndim; i++) {
dest->shape[i] = src->shape[i];
}
if (order == 'C' || order == 'A') {
init_strides_from_shape(dest);
}
else {
init_fortran_strides_from_shape(dest);
}
/* suboffsets */
dest->suboffsets = NULL;
/* flags */
init_flags(mv);
if (copy_buffer(dest, src) < 0) {
Py_DECREF(mv);
return NULL;
}
return (PyObject *)mv;
}
/*
Return a new memoryview object based on a contiguous exporter with
buffertype={PyBUF_READ, PyBUF_WRITE} and order={'C', 'F'ortran, or 'A'ny}.
The logical structure of the input and output buffers is the same
(i.e. tolist(input) == tolist(output)), but the physical layout in
memory can be explicitly chosen.
As usual, if buffertype=PyBUF_WRITE, the exporter's buffer must be writable,
otherwise it may be writable or read-only.
If the exporter is already contiguous with the desired target order,
the memoryview will be directly based on the exporter.
Otherwise, if the buffertype is PyBUF_READ, the memoryview will be
based on a new bytes object. If order={'C', 'A'ny}, use 'C' order,
'F'ortran order otherwise.
*/
PyObject *
PyMemoryView_GetContiguous(PyObject *obj, int buffertype, char order)
{
PyMemoryViewObject *mv;
PyObject *ret;
Py_buffer *view;
assert(buffertype == PyBUF_READ || buffertype == PyBUF_WRITE);
assert(order == 'C' || order == 'F' || order == 'A');
mv = (PyMemoryViewObject *)PyMemoryView_FromObject(obj);
if (mv == NULL)
return NULL;
view = &mv->view;
if (buffertype == PyBUF_WRITE && view->readonly) {
PyErr_SetString(PyExc_BufferError,
"underlying buffer is not writable");
Py_DECREF(mv);
return NULL;
}
if (PyBuffer_IsContiguous(view, order))
return (PyObject *)mv;
if (buffertype == PyBUF_WRITE) {
PyErr_SetString(PyExc_BufferError,
"writable contiguous buffer requested "
"for a non-contiguous object.");
Py_DECREF(mv);
return NULL;
}
ret = memory_from_contiguous_copy(view, order);
Py_DECREF(mv);
return ret;
}
/*[clinic input]
@classmethod
memoryview.__new__
object: object
Create a new memoryview object which references the given object.
[clinic start generated code]*/
static PyObject *
memoryview_impl(PyTypeObject *type, PyObject *object)
/*[clinic end generated code: output=7de78e184ed66db8 input=f04429eb0bdf8c6e]*/
{
return PyMemoryView_FromObject(object);
}
/*[clinic input]
@classmethod
memoryview._from_flags
object: object
flags: int
Create a new memoryview object which references the given object.
[clinic start generated code]*/
static PyObject *
memoryview__from_flags_impl(PyTypeObject *type, PyObject *object, int flags)
/*[clinic end generated code: output=bf71f9906c266ee2 input=f5f82fd0e744356b]*/
{
return PyMemoryView_FromObjectAndFlags(object, flags);
}
/****************************************************************************/
/*                         Previously in abstract.c                         */
/****************************************************************************/
typedef struct {
Py_buffer view;
Py_ssize_t array[1];
} Py_buffer_full;
int
PyBuffer_ToContiguous(void *buf, const Py_buffer *src, Py_ssize_t len, char order)
{
Py_buffer_full *fb = NULL;
int ret;
assert(order == 'C' || order == 'F' || order == 'A');
if (len != src->len) {
PyErr_SetString(PyExc_ValueError,
"PyBuffer_ToContiguous: len != view->len");
return -1;
}
if (PyBuffer_IsContiguous(src, order)) {
memcpy((char *)buf, src->buf, len);
return 0;
}
/* buffer_to_contiguous() assumes PyBUF_FULL */
fb = PyMem_Malloc(sizeof *fb + 3 * src->ndim * (sizeof *fb->array));
if (fb == NULL) {
PyErr_NoMemory();
return -1;
}
fb->view.ndim = src->ndim;
fb->view.shape = fb->array;
fb->view.strides = fb->array + src->ndim;
fb->view.suboffsets = fb->array + 2 * src->ndim;
init_shared_values(&fb->view, src);
init_shape_strides(&fb->view, src);
init_suboffsets(&fb->view, src);
src = &fb->view;
ret = buffer_to_contiguous(buf, src, order);
PyMem_Free(fb);
return ret;
}
static inline Py_ssize_t
get_exports(PyMemoryViewObject *buf)
{
#ifdef Py_GIL_DISABLED
return _Py_atomic_load_ssize_relaxed(&buf->exports);
#else
return buf->exports;
#endif
}
/****************************************************************************/
/*                           Release/GC management                          */
/****************************************************************************/
/* Inform the managed buffer that this particular memoryview will not access
the underlying buffer again. If no other memoryviews are registered with
the managed buffer, the underlying buffer is released instantly and
marked as inaccessible for both the memoryview and the managed buffer. */
static void
_memory_release(PyMemoryViewObject *self)
{
assert(get_exports(self) == 0);
if (self->flags & _Py_MEMORYVIEW_RELEASED)
return;
self->flags |= _Py_MEMORYVIEW_RELEASED;
assert(self->mbuf->exports > 0);
if (--self->mbuf->exports == 0) {
mbuf_release(self->mbuf);
}
}
/*[clinic input]
memoryview.release
Release the underlying buffer exposed by the memoryview object.
[clinic start generated code]*/
static PyObject *
memoryview_release_impl(PyMemoryViewObject *self)
/*[clinic end generated code: output=d0b7e3ba95b7fcb9 input=bc71d1d51f4a52f0]*/
{
Py_ssize_t exports = get_exports(self);
if (exports == 0) {
_memory_release(self);
Py_RETURN_NONE;
}
if (exports > 0) {
PyErr_Format(PyExc_BufferError,
"memoryview has %zd exported buffer%s", exports,
exports==1 ? "" : "s");
return NULL;
}
PyErr_SetString(PyExc_SystemError,
"memoryview: negative export count");
return NULL;
}
static void
memory_dealloc(PyObject *_self)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
assert(get_exports(self) == 0);
_PyObject_GC_UNTRACK(self);
_memory_release(self);
Py_CLEAR(self->mbuf);
if (self->weakreflist != NULL)
PyObject_ClearWeakRefs((PyObject *) self);
PyObject_GC_Del(self);
}
static int
memory_traverse(PyObject *_self, visitproc visit, void *arg)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
Py_VISIT(self->mbuf);
return 0;
}
static int
memory_clear(PyObject *_self)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
if (get_exports(self) == 0) {
_memory_release(self);
Py_CLEAR(self->mbuf);
}
return 0;
}
static PyObject *
memory_enter(PyObject *self, PyObject *args)
{
CHECK_RELEASED(self);
return Py_NewRef(self);
}
static PyObject *
memory_exit(PyObject *self, PyObject *args)
{
return memoryview_release_impl((PyMemoryViewObject *)self);
}
/****************************************************************************/
/*                         Casting format and shape                         */
/****************************************************************************/
#define IS_BYTE_FORMAT(f) (f == 'b' || f == 'B' || f == 'c')
static inline Py_ssize_t
get_native_fmtchar(char *result, const char *fmt)
{
Py_ssize_t size = -1;
if (fmt[0] == '@') fmt++;
switch (fmt[0]) {
case 'c': case 'b': case 'B': size = sizeof(char); break;
case 'h': case 'H': size = sizeof(short); break;
case 'i': case 'I': size = sizeof(int); break;
case 'l': case 'L': size = sizeof(long); break;
case 'q': case 'Q': size = sizeof(long long); break;
case 'n': case 'N': size = sizeof(Py_ssize_t); break;
case 'f': size = sizeof(float); break;
case 'd': size = sizeof(double); break;
case 'e': size = sizeof(float) / 2; break;
case '?': size = sizeof(_Bool); break;
case 'P': size = sizeof(void *); break;
}
if (size > 0 && fmt[1] == '\0') {
*result = fmt[0];
return size;
}
return -1;
}
static inline const char *
get_native_fmtstr(const char *fmt)
{
int at = 0;
if (fmt[0] == '@') {
at = 1;
fmt++;
}
if (fmt[0] == '\0' || fmt[1] != '\0') {
return NULL;
}
#define RETURN(s) do { return at ? "@" s : s; } while (0)
switch (fmt[0]) {
case 'c': RETURN("c");
case 'b': RETURN("b");
case 'B': RETURN("B");
case 'h': RETURN("h");
case 'H': RETURN("H");
case 'i': RETURN("i");
case 'I': RETURN("I");
case 'l': RETURN("l");
case 'L': RETURN("L");
case 'q': RETURN("q");
case 'Q': RETURN("Q");
case 'n': RETURN("n");
case 'N': RETURN("N");
case 'f': RETURN("f");
case 'd': RETURN("d");
case 'e': RETURN("e");
case '?': RETURN("?");
case 'P': RETURN("P");
}
return NULL;
}
/* Cast a memoryview's data type to 'format'. The input array must be
C-contiguous. At least one of input-format, output-format must have
byte size. The output array is 1-D, with the same byte length as the
input array. Thus, view->len must be a multiple of the new itemsize. */
static int
cast_to_1D(PyMemoryViewObject *mv, PyObject *format)
{
Py_buffer *view = &mv->view;
PyObject *asciifmt;
char srcchar, destchar;
Py_ssize_t itemsize;
int ret = -1;
assert(view->ndim >= 1);
assert(Py_SIZE(mv) == 3*view->ndim);
assert(view->shape == mv->ob_array);
assert(view->strides == mv->ob_array + view->ndim);
assert(view->suboffsets == mv->ob_array + 2*view->ndim);
asciifmt = PyUnicode_AsASCIIString(format);
if (asciifmt == NULL)
return ret;
itemsize = get_native_fmtchar(&destchar, PyBytes_AS_STRING(asciifmt));
if (itemsize < 0) {
PyErr_SetString(PyExc_ValueError,
"memoryview: destination format must be a native single "
"character format prefixed with an optional '@'");
goto out;
}
if ((get_native_fmtchar(&srcchar, view->format) < 0 ||
!IS_BYTE_FORMAT(srcchar)) && !IS_BYTE_FORMAT(destchar)) {
PyErr_SetString(PyExc_TypeError,
"memoryview: cannot cast between two non-byte formats");
goto out;
}
if (view->len % itemsize) {
PyErr_SetString(PyExc_TypeError,
"memoryview: length is not a multiple of itemsize");
goto out;
}
view->format = (char *)get_native_fmtstr(PyBytes_AS_STRING(asciifmt));
if (view->format == NULL) {
/* NOT_REACHED: get_native_fmtchar() already validates the format. */
PyErr_SetString(PyExc_RuntimeError,
"memoryview: internal error");
goto out;
}
view->itemsize = itemsize;
view->ndim = 1;
view->shape[0] = view->len / view->itemsize;
view->strides[0] = view->itemsize;
view->suboffsets = NULL;
init_flags(mv);
ret = 0;
out:
Py_DECREF(asciifmt);
return ret;
}
/* The memoryview must have space for 3*len(seq) elements. */
static Py_ssize_t
copy_shape(Py_ssize_t *shape, const PyObject *seq, Py_ssize_t ndim,
Py_ssize_t itemsize)
{
Py_ssize_t x, i;
Py_ssize_t len = itemsize;
for (i = 0; i < ndim; i++) {
PyObject *tmp = PySequence_Fast_GET_ITEM(seq, i);
if (!PyLong_Check(tmp)) {
PyErr_SetString(PyExc_TypeError,
"memoryview.cast(): elements of shape must be integers");
return -1;
}
x = PyLong_AsSsize_t(tmp);
if (x == -1 && PyErr_Occurred()) {
return -1;
}
if (x <= 0) {
/* In general elements of shape may be 0, but not for casting. */
PyErr_Format(PyExc_ValueError,
"memoryview.cast(): elements of shape must be integers > 0");
return -1;
}
if (x > PY_SSIZE_T_MAX / len) {
PyErr_Format(PyExc_ValueError,
"memoryview.cast(): product(shape) > SSIZE_MAX");
return -1;
}
len *= x;
shape[i] = x;
}
return len;
}
/* Cast a 1-D array to a new shape. The result array will be C-contiguous.
If the result array does not have exactly the same byte length as the
input array, raise ValueError. */
static int
cast_to_ND(PyMemoryViewObject *mv, const PyObject *shape, int ndim)
{
Py_buffer *view = &mv->view;
Py_ssize_t len;
assert(view->ndim == 1); /* ndim from cast_to_1D() */
assert(Py_SIZE(mv) == 3*(ndim==0?1:ndim)); /* ndim of result array */
assert(view->shape == mv->ob_array);
assert(view->strides == mv->ob_array + (ndim==0?1:ndim));
assert(view->suboffsets == NULL);
view->ndim = ndim;
if (view->ndim == 0) {
view->shape = NULL;
view->strides = NULL;
len = view->itemsize;
}
else {
len = copy_shape(view->shape, shape, ndim, view->itemsize);
if (len < 0)
return -1;
init_strides_from_shape(view);
}
if (view->len != len) {
PyErr_SetString(PyExc_TypeError,
"memoryview: product(shape) * itemsize != buffer size");
return -1;
}
init_flags(mv);
return 0;
}
static int
zero_in_shape(PyMemoryViewObject *mv)
{
Py_buffer *view = &mv->view;
Py_ssize_t i;
for (i = 0; i < view->ndim; i++)
if (view->shape[i] == 0)
return 1;
return 0;
}
/*
Cast a copy of 'self' to a different view. The input view must
be C-contiguous. The function always casts the input view to a
1-D output according to 'format'. At least one of input-format,
output-format must have byte size.
If 'shape' is given, the 1-D view from the previous step will
be cast to a C-contiguous view with new shape and strides.
All casts must result in views that will have the exact byte
size of the original input. Otherwise, an error is raised.
*/
/*[clinic input]
memoryview.cast
format: unicode
shape: object = NULL
Cast a memoryview to a new format or shape.
[clinic start generated code]*/
static PyObject *
memoryview_cast_impl(PyMemoryViewObject *self, PyObject *format,
PyObject *shape)
/*[clinic end generated code: output=bae520b3a389cbab input=138936cc9041b1a3]*/
{
PyMemoryViewObject *mv = NULL;
Py_ssize_t ndim = 1;
CHECK_RELEASED(self);
CHECK_RESTRICTED(self);
if (!MV_C_CONTIGUOUS(self->flags)) {
PyErr_SetString(PyExc_TypeError,
"memoryview: casts are restricted to C-contiguous views");
return NULL;
}
if ((shape || self->view.ndim != 1) && zero_in_shape(self)) {
PyErr_SetString(PyExc_TypeError,
"memoryview: cannot cast view with zeros in shape or strides");
return NULL;
}
if (shape) {
CHECK_LIST_OR_TUPLE(shape)
ndim = PySequence_Fast_GET_SIZE(shape);
if (ndim > PyBUF_MAX_NDIM) {
PyErr_SetString(PyExc_ValueError,
"memoryview: number of dimensions must not exceed "
Py_STRINGIFY(PyBUF_MAX_NDIM));
return NULL;
}
if (self->view.ndim != 1 && ndim != 1) {
PyErr_SetString(PyExc_TypeError,
"memoryview: cast must be 1D -> ND or ND -> 1D");
return NULL;
}
}
mv = (PyMemoryViewObject *)
mbuf_add_incomplete_view(self->mbuf, &self->view, ndim==0 ? 1 : (int)ndim);
if (mv == NULL)
return NULL;
if (cast_to_1D(mv, format) < 0)
goto error;
if (shape && cast_to_ND(mv, shape, (int)ndim) < 0)
goto error;
return (PyObject *)mv;
error:
Py_DECREF(mv);
return NULL;
}
/*[clinic input]
memoryview.toreadonly
Return a readonly version of the memoryview.
[clinic start generated code]*/
static PyObject *
memoryview_toreadonly_impl(PyMemoryViewObject *self)
/*[clinic end generated code: output=2c7e056f04c99e62 input=dc06d20f19ba236f]*/
{
CHECK_RELEASED(self);
CHECK_RESTRICTED(self);
/* Even if self is already readonly, we still need to create a new
* object for .release() to work correctly.
*/
self = (PyMemoryViewObject *) mbuf_add_view(self->mbuf, &self->view);
if (self != NULL) {
self->view.readonly = 1;
};
return (PyObject *) self;
}
/**************************************************************************/
/*                               getbuffer                                */
/**************************************************************************/
static int
memory_getbuf(PyObject *_self, Py_buffer *view, int flags)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
Py_buffer *base = &self->view;
int baseflags = self->flags;
CHECK_RELEASED_INT(self);
CHECK_RESTRICTED_INT(self);
/* start with complete information */
*view = *base;
view->obj = NULL;
if (REQ_WRITABLE(flags) && base->readonly) {
PyErr_SetString(PyExc_BufferError,
"memoryview: underlying buffer is not writable");
return -1;
}
if (!REQ_FORMAT(flags)) {
/* NULL indicates that the buffer's data type has been cast to 'B'.
view->itemsize is the _previous_ itemsize. If shape is present,
the equality product(shape) * itemsize = len still holds at this
point. The equality calcsize(format) = itemsize does _not_ hold
from here on! */
view->format = NULL;
}
if (REQ_C_CONTIGUOUS(flags) && !MV_C_CONTIGUOUS(baseflags)) {
PyErr_SetString(PyExc_BufferError,
"memoryview: underlying buffer is not C-contiguous");
return -1;
}
if (REQ_F_CONTIGUOUS(flags) && !MV_F_CONTIGUOUS(baseflags)) {
PyErr_SetString(PyExc_BufferError,
"memoryview: underlying buffer is not Fortran contiguous");
return -1;
}
if (REQ_ANY_CONTIGUOUS(flags) && !MV_ANY_CONTIGUOUS(baseflags)) {
PyErr_SetString(PyExc_BufferError,
"memoryview: underlying buffer is not contiguous");
return -1;
}
if (!REQ_INDIRECT(flags) && (baseflags & _Py_MEMORYVIEW_PIL)) {
PyErr_SetString(PyExc_BufferError,
"memoryview: underlying buffer requires suboffsets");
return -1;
}
if (!REQ_STRIDES(flags)) {
if (!MV_C_CONTIGUOUS(baseflags)) {
PyErr_SetString(PyExc_BufferError,
"memoryview: underlying buffer is not C-contiguous");
return -1;
}
view->strides = NULL;
}
if (!REQ_SHAPE(flags)) {
/* PyBUF_SIMPLE or PyBUF_WRITABLE: at this point buf is C-contiguous,
so base->buf = ndbuf->data. */
if (view->format != NULL) {
/* PyBUF_SIMPLE|PyBUF_FORMAT and PyBUF_WRITABLE|PyBUF_FORMAT do
not make sense. */
PyErr_Format(PyExc_BufferError,
"memoryview: cannot cast to unsigned bytes if the format flag "
"is present");
return -1;
}
/* product(shape) * itemsize = len and calcsize(format) = itemsize
do _not_ hold from here on! */
view->ndim = 1;
view->shape = NULL;
}
view->obj = Py_NewRef(self);
#ifdef Py_GIL_DISABLED
_Py_atomic_add_ssize(&self->exports, 1);
#else
self->exports++;
#endif
return 0;
}
static void
memory_releasebuf(PyObject *_self, Py_buffer *view)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
#ifdef Py_GIL_DISABLED
_Py_atomic_add_ssize(&self->exports, -1);
#else
self->exports--;
#endif
return;
/* PyBuffer_Release() decrements view->obj after this function returns. */
}
/* Buffer methods */
static PyBufferProcs memory_as_buffer = {
memory_getbuf,         /* bf_getbuffer */
memory_releasebuf,                    /* bf_releasebuffer */
};
/****************************************************************************/
/*           Optimized pack/unpack for all native format specifiers         */
/****************************************************************************/
/*
Fix exceptions:
1) Include format string in the error message.
2) OverflowError -> ValueError.
3) The error message from PyNumber_Index() is not ideal.
*/
static int
type_error_int(const char *fmt)
{
PyErr_Format(PyExc_TypeError,
"memoryview: invalid type for format '%s'", fmt);
return -1;
}
static int
value_error_int(const char *fmt)
{
PyErr_Format(PyExc_ValueError,
"memoryview: invalid value for format '%s'", fmt);
return -1;
}
static int
fix_error_int(const char *fmt)
{
assert(PyErr_Occurred());
if (PyErr_ExceptionMatches(PyExc_TypeError)) {
PyErr_Clear();
return type_error_int(fmt);
}
else if (PyErr_ExceptionMatches(PyExc_OverflowError) ||
PyErr_ExceptionMatches(PyExc_ValueError)) {
PyErr_Clear();
return value_error_int(fmt);
}
return -1;
}
/* Accept integer objects or objects with an __index__() method. */
static long
pylong_as_ld(PyObject *item)
{
PyObject *tmp;
long ld;
tmp = _PyNumber_Index(item);
if (tmp == NULL)
return -1;
ld = PyLong_AsLong(tmp);
Py_DECREF(tmp);
return ld;
}
static unsigned long
pylong_as_lu(PyObject *item)
{
PyObject *tmp;
unsigned long lu;
tmp = _PyNumber_Index(item);
if (tmp == NULL)
return (unsigned long)-1;
lu = PyLong_AsUnsignedLong(tmp);
Py_DECREF(tmp);
return lu;
}
static long long
pylong_as_lld(PyObject *item)
{
PyObject *tmp;
long long lld;
tmp = _PyNumber_Index(item);
if (tmp == NULL)
return -1;
lld = PyLong_AsLongLong(tmp);
Py_DECREF(tmp);
return lld;
}
static unsigned long long
pylong_as_llu(PyObject *item)
{
PyObject *tmp;
unsigned long long llu;
tmp = _PyNumber_Index(item);
if (tmp == NULL)
return (unsigned long long)-1;
llu = PyLong_AsUnsignedLongLong(tmp);
Py_DECREF(tmp);
return llu;
}
static Py_ssize_t
pylong_as_zd(PyObject *item)
{
PyObject *tmp;
Py_ssize_t zd;
tmp = _PyNumber_Index(item);
if (tmp == NULL)
return -1;
zd = PyLong_AsSsize_t(tmp);
Py_DECREF(tmp);
return zd;
}
static size_t
pylong_as_zu(PyObject *item)
{
PyObject *tmp;
size_t zu;
tmp = _PyNumber_Index(item);
if (tmp == NULL)
return (size_t)-1;
zu = PyLong_AsSize_t(tmp);
Py_DECREF(tmp);
return zu;
}
/* Timings with the ndarray from _testbuffer.c indicate that using the
struct module is around 15x slower than the two functions below. */
#define UNPACK_SINGLE(dest, ptr, type) \
do {                                   \
type x;                            \
memcpy((char *)&x, ptr, sizeof x); \
dest = x;                          \
} while (0)
/* Unpack a single item. 'fmt' can be any native format character in struct
module syntax. This function is very sensitive to small changes. With this
layout gcc automatically generates a fast jump table. */
static inline PyObject *
unpack_single(PyMemoryViewObject *self, const char *ptr, const char *fmt)
{
unsigned long long llu;
unsigned long lu;
size_t zu;
long long lld;
long ld;
Py_ssize_t zd;
double d;
unsigned char uc;
void *p;
CHECK_RELEASED_AGAIN(self);
#if PY_LITTLE_ENDIAN
int endian = 1;
#else
int endian = 0;
#endif
switch (fmt[0]) {
/* signed integers and fast path for 'B' */
case 'B': uc = *((const unsigned char *)ptr); goto convert_uc;
case 'b': ld =   *((const signed char *)ptr); goto convert_ld;
case 'h': UNPACK_SINGLE(ld, ptr, short); goto convert_ld;
case 'i': UNPACK_SINGLE(ld, ptr, int); goto convert_ld;
case 'l': UNPACK_SINGLE(ld, ptr, long); goto convert_ld;
/* boolean */
case '?': UNPACK_SINGLE(ld, ptr, _Bool); goto convert_bool;
/* unsigned integers */
case 'H': UNPACK_SINGLE(lu, ptr, unsigned short); goto convert_lu;
case 'I': UNPACK_SINGLE(lu, ptr, unsigned int); goto convert_lu;
case 'L': UNPACK_SINGLE(lu, ptr, unsigned long); goto convert_lu;
/* native 64-bit */
case 'q': UNPACK_SINGLE(lld, ptr, long long); goto convert_lld;
case 'Q': UNPACK_SINGLE(llu, ptr, unsigned long long); goto convert_llu;
/* ssize_t and size_t */
case 'n': UNPACK_SINGLE(zd, ptr, Py_ssize_t); goto convert_zd;
case 'N': UNPACK_SINGLE(zu, ptr, size_t); goto convert_zu;
/* floats */
case 'f': UNPACK_SINGLE(d, ptr, float); goto convert_double;
case 'd': UNPACK_SINGLE(d, ptr, double); goto convert_double;
case 'e': d = PyFloat_Unpack2(ptr, endian); goto convert_double;
/* bytes object */
case 'c': goto convert_bytes;
/* pointer */
case 'P': UNPACK_SINGLE(p, ptr, void *); goto convert_pointer;
/* default */
default: goto err_format;
}
convert_uc:
/* PyLong_FromUnsignedLong() is slower */
return PyLong_FromLong(uc);
convert_ld:
return PyLong_FromLong(ld);
convert_lu:
return PyLong_FromUnsignedLong(lu);
convert_lld:
return PyLong_FromLongLong(lld);
convert_llu:
return PyLong_FromUnsignedLongLong(llu);
convert_zd:
return PyLong_FromSsize_t(zd);
convert_zu:
return PyLong_FromSize_t(zu);
convert_double:
return PyFloat_FromDouble(d);
convert_bool:
return PyBool_FromLong(ld);
convert_bytes:
return PyBytes_FromStringAndSize(ptr, 1);
convert_pointer:
return PyLong_FromVoidPtr(p);
err_format:
PyErr_Format(PyExc_NotImplementedError,
"memoryview: format %s not supported", fmt);
return NULL;
}
#define PACK_SINGLE(ptr, src, type) \
do {                                     \
type x;                              \
x = (type)src;                       \
memcpy(ptr, (char *)&x, sizeof x);   \
} while (0)
/* Pack a single item. 'fmt' can be any native format character in
struct module syntax. */
static int
pack_single(PyMemoryViewObject *self, char *ptr, PyObject *item, const char *fmt)
{
unsigned long long llu;
unsigned long lu;
size_t zu;
long long lld;
long ld;
Py_ssize_t zd;
double d;
void *p;
#if PY_LITTLE_ENDIAN
int endian = 1;
#else
int endian = 0;
#endif
switch (fmt[0]) {
/* signed integers */
case 'b': case 'h': case 'i': case 'l':
ld = pylong_as_ld(item);
if (ld == -1 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
switch (fmt[0]) {
case 'b':
if (ld < SCHAR_MIN || ld > SCHAR_MAX) goto err_range;
*((signed char *)ptr) = (signed char)ld; break;
case 'h':
if (ld < SHRT_MIN || ld > SHRT_MAX) goto err_range;
PACK_SINGLE(ptr, ld, short); break;
case 'i':
if (ld < INT_MIN || ld > INT_MAX) goto err_range;
PACK_SINGLE(ptr, ld, int); break;
default: /* 'l' */
PACK_SINGLE(ptr, ld, long); break;
}
break;
/* unsigned integers */
case 'B': case 'H': case 'I': case 'L':
lu = pylong_as_lu(item);
if (lu == (unsigned long)-1 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
switch (fmt[0]) {
case 'B':
if (lu > UCHAR_MAX) goto err_range;
*((unsigned char *)ptr) = (unsigned char)lu; break;
case 'H':
if (lu > USHRT_MAX) goto err_range;
PACK_SINGLE(ptr, lu, unsigned short); break;
case 'I':
if (lu > UINT_MAX) goto err_range;
PACK_SINGLE(ptr, lu, unsigned int); break;
default: /* 'L' */
PACK_SINGLE(ptr, lu, unsigned long); break;
}
break;
/* native 64-bit */
case 'q':
lld = pylong_as_lld(item);
if (lld == -1 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
PACK_SINGLE(ptr, lld, long long);
break;
case 'Q':
llu = pylong_as_llu(item);
if (llu == (unsigned long long)-1 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
PACK_SINGLE(ptr, llu, unsigned long long);
break;
/* ssize_t and size_t */
case 'n':
zd = pylong_as_zd(item);
if (zd == -1 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
PACK_SINGLE(ptr, zd, Py_ssize_t);
break;
case 'N':
zu = pylong_as_zu(item);
if (zu == (size_t)-1 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
PACK_SINGLE(ptr, zu, size_t);
break;
/* floats */
case 'f': case 'd': case 'e':
d = PyFloat_AsDouble(item);
if (d == -1.0 && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
if (fmt[0] == 'f') {
PACK_SINGLE(ptr, d, float);
}
else if (fmt[0] == 'd') {
PACK_SINGLE(ptr, d, double);
}
else {
if (PyFloat_Pack2(d, ptr, endian) < 0) {
goto err_occurred;
}
}
break;
/* bool */
case '?':
ld = PyObject_IsTrue(item);
if (ld < 0)
return -1; /* preserve original error */
CHECK_RELEASED_INT_AGAIN(self);
PACK_SINGLE(ptr, ld, _Bool);
break;
/* bytes object */
case 'c':
if (!PyBytes_Check(item))
return type_error_int(fmt);
if (PyBytes_GET_SIZE(item) != 1)
return value_error_int(fmt);
*ptr = PyBytes_AS_STRING(item)[0];
break;
/* pointer */
case 'P':
p = PyLong_AsVoidPtr(item);
if (p == NULL && PyErr_Occurred())
goto err_occurred;
CHECK_RELEASED_INT_AGAIN(self);
PACK_SINGLE(ptr, p, void *);
break;
/* default */
default: goto err_format;
}
return 0;
err_occurred:
return fix_error_int(fmt);
err_range:
return value_error_int(fmt);
err_format:
PyErr_Format(PyExc_NotImplementedError,
"memoryview: format %s not supported", fmt);
return -1;
}
/****************************************************************************/
/*                       unpack using the struct module                     */
/****************************************************************************/
/* For reasonable performance it is necessary to cache all objects required
for unpacking. An unpacker can handle the format passed to unpack_from().
Invariant: All pointer fields of the struct should either be NULL or valid
pointers. */
struct unpacker {
PyObject *unpack_from; /* Struct.unpack_from(format) */
PyObject *mview;       /* cached memoryview */
char *item;            /* buffer for mview */
Py_ssize_t itemsize;   /* len(item) */
};
static struct unpacker *
unpacker_new(void)
{
struct unpacker *x = PyMem_Malloc(sizeof *x);
if (x == NULL) {
PyErr_NoMemory();
return NULL;
}
x->unpack_from = NULL;
x->mview = NULL;
x->item = NULL;
x->itemsize = 0;
return x;
}
static void
unpacker_free(struct unpacker *x)
{
if (x) {
Py_XDECREF(x->unpack_from);
Py_XDECREF(x->mview);
PyMem_Free(x->item);
PyMem_Free(x);
}
}
/* Return a new unpacker for the given format. */
static struct unpacker *
struct_get_unpacker(const char *fmt, Py_ssize_t itemsize)
{
PyObject *Struct = NULL;    /* XXX cache it in globals? */
PyObject *structobj = NULL;
PyObject *format = NULL;
struct unpacker *x = NULL;
Struct = PyImport_ImportModuleAttrString("struct", "Struct");
if (Struct == NULL)
return NULL;
x = unpacker_new();
if (x == NULL)
goto error;
format = PyBytes_FromString(fmt);
if (format == NULL)
goto error;
structobj = PyObject_CallOneArg(Struct, format);
if (structobj == NULL)
goto error;
x->unpack_from = PyObject_GetAttrString(structobj, "unpack_from");
if (x->unpack_from == NULL)
goto error;
x->item = PyMem_Malloc(itemsize);
if (x->item == NULL) {
PyErr_NoMemory();
goto error;
}
x->itemsize = itemsize;
x->mview = PyMemoryView_FromMemory(x->item, itemsize, PyBUF_WRITE);
if (x->mview == NULL)
goto error;
out:
Py_XDECREF(Struct);
Py_XDECREF(format);
Py_XDECREF(structobj);
return x;
error:
unpacker_free(x);
x = NULL;
goto out;
}
/* unpack a single item */
static PyObject *
struct_unpack_single(const char *ptr, struct unpacker *x)
{
PyObject *v;
memcpy(x->item, ptr, x->itemsize);
v = PyObject_CallOneArg(x->unpack_from, x->mview);
if (v == NULL)
return NULL;
if (PyTuple_GET_SIZE(v) == 1) {
PyObject *res = Py_NewRef(PyTuple_GET_ITEM(v, 0));
Py_DECREF(v);
return res;
}
return v;
}
/****************************************************************************/
/*                              Representations                             */
/****************************************************************************/
/* allow explicit form of native format */
static inline const char *
adjust_fmt(const Py_buffer *view)
{
const char *fmt;
fmt = (view->format[0] == '@') ? view->format+1 : view->format;
if (fmt[0] && fmt[1] == '\0')
return fmt;
PyErr_Format(PyExc_NotImplementedError,
"memoryview: unsupported format %s", view->format);
return NULL;
}
/* Base case for multi-dimensional unpacking. Assumption: ndim == 1. */
static PyObject *
tolist_base(PyMemoryViewObject *self, const char *ptr, const Py_ssize_t *shape,
const Py_ssize_t *strides, const Py_ssize_t *suboffsets,
const char *fmt)
{
PyObject *lst, *item;
Py_ssize_t i;
lst = PyList_New(shape[0]);
if (lst == NULL)
return NULL;
for (i = 0; i < shape[0]; ptr+=strides[0], i++) {
const char *xptr = ADJUST_PTR(ptr, suboffsets, 0);
item = unpack_single(self, xptr, fmt);
if (item == NULL) {
Py_DECREF(lst);
return NULL;
}
PyList_SET_ITEM(lst, i, item);
}
return lst;
}
/* Unpack a multi-dimensional array into a nested list.
Assumption: ndim >= 1. */
static PyObject *
tolist_rec(PyMemoryViewObject *self, const char *ptr, Py_ssize_t ndim, const Py_ssize_t *shape,
const Py_ssize_t *strides, const Py_ssize_t *suboffsets,
const char *fmt)
{
PyObject *lst, *item;
Py_ssize_t i;
assert(ndim >= 1);
assert(shape != NULL);
assert(strides != NULL);
if (ndim == 1)
return tolist_base(self, ptr, shape, strides, suboffsets, fmt);
lst = PyList_New(shape[0]);
if (lst == NULL)
return NULL;
for (i = 0; i < shape[0]; ptr+=strides[0], i++) {
const char *xptr = ADJUST_PTR(ptr, suboffsets, 0);
item = tolist_rec(self, xptr, ndim-1, shape+1,
strides+1, suboffsets ? suboffsets+1 : NULL,
fmt);
if (item == NULL) {
Py_DECREF(lst);
return NULL;
}
PyList_SET_ITEM(lst, i, item);
}
return lst;
}
/* Return a list representation of the memoryview. Currently only buffers
with native format strings are supported. */
/*[clinic input]
memoryview.tolist
Return the data in the buffer as a list of elements.
[clinic start generated code]*/
static PyObject *
memoryview_tolist_impl(PyMemoryViewObject *self)
/*[clinic end generated code: output=a6cda89214fd5a1b input=21e7d0c1860b211a]*/
{
const Py_buffer *view = &self->view;
const char *fmt;
CHECK_RELEASED(self);
fmt = adjust_fmt(view);
if (fmt == NULL)
return NULL;
if (view->ndim == 0) {
return unpack_single(self, view->buf, fmt);
}
else if (view->ndim == 1) {
return tolist_base(self, view->buf, view->shape,
view->strides, view->suboffsets,
fmt);
}
else {
return tolist_rec(self, view->buf, view->ndim, view->shape,
view->strides, view->suboffsets,
fmt);
}
}
/*[clinic input]
@permit_long_docstring_body
memoryview.tobytes
order: str(accept={str, NoneType}, c_default="NULL") = 'C'
Return the data in the buffer as a byte string.
Order can be {'C', 'F', 'A'}. When order is 'C' or 'F', the data of the
original array is converted to C or Fortran order. For contiguous views,
'A' returns an exact copy of the physical memory. In particular, in-memory
Fortran order is preserved. For non-contiguous views, the data is converted
to C first. order=None is the same as order='C'.
[clinic start generated code]*/
static PyObject *
memoryview_tobytes_impl(PyMemoryViewObject *self, const char *order)
/*[clinic end generated code: output=1288b62560a32a23 input=23c9faf372cfdbcc]*/
{
Py_buffer *src = VIEW_ADDR(self);
char ord = 'C';
CHECK_RELEASED(self);
if (order) {
if (strcmp(order, "F") == 0) {
ord = 'F';
}
else if (strcmp(order, "A") == 0) {
ord = 'A';
}
else if (strcmp(order, "C") != 0) {
PyErr_SetString(PyExc_ValueError,
"order must be 'C', 'F' or 'A'");
return NULL;
}
}
PyBytesWriter *writer = PyBytesWriter_Create(src->len);
if (writer == NULL) {
return NULL;
}
if (PyBuffer_ToContiguous(PyBytesWriter_GetData(writer),
src, src->len, ord) < 0) {
PyBytesWriter_Discard(writer);
return NULL;
}
return PyBytesWriter_Finish(writer);
}
/*[clinic input]
memoryview.hex
sep: object = NULL
An optional single character or byte to separate hex bytes.
bytes_per_sep: int = 1
How many bytes between separators.  Positive values count from the
right, negative values count from the left.
Return the data in the buffer as a str of hexadecimal numbers.
Example:
>>> value = memoryview(b'\xb9\x01\xef')
>>> value.hex()
'b901ef'
>>> value.hex(':')
'b9:01:ef'
>>> value.hex(':', 2)
'b9:01ef'
>>> value.hex(':', -2)
'b901:ef'
[clinic start generated code]*/
static PyObject *
memoryview_hex_impl(PyMemoryViewObject *self, PyObject *sep,
int bytes_per_sep)
/*[clinic end generated code: output=430ca760f94f3ca7 input=539f6a3a5fb56946]*/
{
Py_buffer *src = VIEW_ADDR(self);
CHECK_RELEASED(self);
if (MV_C_CONTIGUOUS(self->flags)) {
// Prevent 'self' from being freed if computing len(sep) mutates 'self'
// in _Py_strhex_with_sep().
// See: https://github.com/python/cpython/issues/143195.
self->exports++;
PyObject *ret = _Py_strhex_with_sep(src->buf, src->len, sep, bytes_per_sep);
self->exports--;
return ret;
}
PyBytesWriter *writer = PyBytesWriter_Create(src->len);
if (writer == NULL) {
return NULL;
}
if (PyBuffer_ToContiguous(PyBytesWriter_GetData(writer),
src, src->len, 'C') < 0) {
PyBytesWriter_Discard(writer);
return NULL;
}
PyObject *ret = _Py_strhex_with_sep(
PyBytesWriter_GetData(writer),
PyBytesWriter_GetSize(writer),
sep, bytes_per_sep);
PyBytesWriter_Discard(writer);
return ret;
}
static PyObject *
memory_repr(PyObject *_self)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
if (self->flags & _Py_MEMORYVIEW_RELEASED)
return PyUnicode_FromFormat("<released memory at %p>", self);
else
return PyUnicode_FromFormat("<memory at %p>", self);
}
/**************************************************************************/
/*                          Indexing and slicing                          */
/**************************************************************************/
static char *
lookup_dimension(const Py_buffer *view, char *ptr, int dim, Py_ssize_t index)
{
Py_ssize_t nitems; /* items in the given dimension */
assert(view->shape);
assert(view->strides);
nitems = view->shape[dim];
if (index < 0) {
index += nitems;
}
if (index < 0 || index >= nitems) {
PyErr_Format(PyExc_IndexError,
"index out of bounds on dimension %d", dim + 1);
return NULL;
}
ptr += view->strides[dim] * index;
ptr = ADJUST_PTR(ptr, view->suboffsets, dim);
return ptr;
}
/* Get the pointer to the item at index. */
static char *
ptr_from_index(const Py_buffer *view, Py_ssize_t index)
{
char *ptr = (char *)view->buf;
return lookup_dimension(view, ptr, 0, index);
}
/* Get the pointer to the item at tuple. */
static char *
ptr_from_tuple(const Py_buffer *view, PyObject *tup)
{
char *ptr = (char *)view->buf;
Py_ssize_t dim, nindices = PyTuple_GET_SIZE(tup);
if (nindices > view->ndim) {
PyErr_Format(PyExc_TypeError,
"cannot index %zd-dimension view with %zd-element tuple",
view->ndim, nindices);
return NULL;
}
for (dim = 0; dim < nindices; dim++) {
Py_ssize_t index;
index = PyNumber_AsSsize_t(PyTuple_GET_ITEM(tup, dim),
PyExc_IndexError);
if (index == -1 && PyErr_Occurred())
return NULL;
ptr = lookup_dimension(view, ptr, (int)dim, index);
if (ptr == NULL)
return NULL;
}
return ptr;
}
/* Return the item at index. In a one-dimensional view, this is an object
with the type specified by view->format. Otherwise, the item is a sub-view.
The function is used in memory_subscript() and memory_as_sequence. */
static PyObject *
memory_item(PyObject *_self, Py_ssize_t index)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
Py_buffer *view = &(self->view);
const char *fmt;
CHECK_RELEASED(self);
fmt = adjust_fmt(view);
if (fmt == NULL)
return NULL;
if (view->ndim == 0) {
PyErr_SetString(PyExc_TypeError, "invalid indexing of 0-dim memory");
return NULL;
}
if (view->ndim == 1) {
char *ptr = ptr_from_index(view, index);
if (ptr == NULL)
return NULL;
return unpack_single(self, ptr, fmt);
}
PyErr_SetString(PyExc_NotImplementedError,
"multi-dimensional sub-views are not implemented");
return NULL;
}
/* Return the item at position *key* (a tuple of indices). */
static PyObject *
memory_item_multi(PyMemoryViewObject *self, PyObject *tup)
{
Py_buffer *view = &(self->view);
const char *fmt;
Py_ssize_t nindices = PyTuple_GET_SIZE(tup);
char *ptr;
CHECK_RELEASED(self);
fmt = adjust_fmt(view);
if (fmt == NULL)
return NULL;
if (nindices < view->ndim) {
PyErr_SetString(PyExc_NotImplementedError,
"sub-views are not implemented");
return NULL;
}
ptr = ptr_from_tuple(view, tup);
if (ptr == NULL)
return NULL;
return unpack_single(self, ptr, fmt);
}
static inline int
init_slice(Py_buffer *base, PyObject *key, int dim)
{
Py_ssize_t start, stop, step, slicelength;
if (PySlice_Unpack(key, &start, &stop, &step) < 0) {
return -1;
}
slicelength = PySlice_AdjustIndices(base->shape[dim], &start, &stop, step);
if (base->suboffsets == NULL || dim == 0) {
adjust_buf:
base->buf = (char *)base->buf + base->strides[dim] * start;
}
else {
Py_ssize_t n = dim-1;
while (n >= 0 && base->suboffsets[n] < 0)
n--;
if (n < 0)
goto adjust_buf; /* all suboffsets are negative */
base->suboffsets[n] = base->suboffsets[n] + base->strides[dim] * start;
}
base->shape[dim] = slicelength;
base->strides[dim] = base->strides[dim] * step;
return 0;
}
static int
is_multislice(PyObject *key)
{
Py_ssize_t size, i;
if (!PyTuple_Check(key))
return 0;
size = PyTuple_GET_SIZE(key);
if (size == 0)
return 0;
for (i = 0; i < size; i++) {
PyObject *x = PyTuple_GET_ITEM(key, i);
if (!PySlice_Check(x))
return 0;
}
return 1;
}
static Py_ssize_t
is_multiindex(PyObject *key)
{
Py_ssize_t size, i;
if (!PyTuple_Check(key))
return 0;
size = PyTuple_GET_SIZE(key);
for (i = 0; i < size; i++) {
PyObject *x = PyTuple_GET_ITEM(key, i);
if (!_PyIndex_Check(x)) {
return 0;
}
}
return 1;
}
/* mv[obj] returns an object holding the data for one element if obj
fully indexes the memoryview or another memoryview object if it
does not.
0-d memoryview objects can be referenced using mv[...] or mv[()]
but not with anything else. */
static PyObject *
memory_subscript(PyObject *_self, PyObject *key)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
Py_buffer *view;
view = &(self->view);
CHECK_RELEASED(self);
if (view->ndim == 0) {
if (PyTuple_Check(key) && PyTuple_GET_SIZE(key) == 0) {
const char *fmt = adjust_fmt(view);
if (fmt == NULL)
return NULL;
return unpack_single(self, view->buf, fmt);
}
else if (key == Py_Ellipsis) {
return Py_NewRef(self);
}
else {
PyErr_SetString(PyExc_TypeError,
"invalid indexing of 0-dim memory");
return NULL;
}
}
if (_PyIndex_Check(key)) {
Py_ssize_t index;
index = PyNumber_AsSsize_t(key, PyExc_IndexError);
if (index == -1 && PyErr_Occurred())
return NULL;
return memory_item((PyObject *)self, index);
}
else if (PySlice_Check(key)) {
CHECK_RESTRICTED(self);
PyMemoryViewObject *sliced;
sliced = (PyMemoryViewObject *)mbuf_add_view(self->mbuf, view);
if (sliced == NULL)
return NULL;
if (init_slice(&sliced->view, key, 0) < 0) {
Py_DECREF(sliced);
return NULL;
}
init_len(&sliced->view);
init_flags(sliced);
return (PyObject *)sliced;
}
else if (is_multiindex(key)) {
return memory_item_multi(self, key);
}
else if (is_multislice(key)) {
PyErr_SetString(PyExc_NotImplementedError,
"multi-dimensional slicing is not implemented");
return NULL;
}
PyErr_SetString(PyExc_TypeError, "memoryview: invalid slice key");
return NULL;
}
static int
memory_ass_sub(PyObject *_self, PyObject *key, PyObject *value)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
Py_buffer *view = &(self->view);
Py_buffer src;
const char *fmt;
char *ptr;
CHECK_RELEASED_INT(self);
fmt = adjust_fmt(view);
if (fmt == NULL)
return -1;
if (view->readonly) {
PyErr_SetString(PyExc_TypeError, "cannot modify read-only memory");
return -1;
}
if (value == NULL) {
PyErr_SetString(PyExc_TypeError, "cannot delete memory");
return -1;
}
if (view->ndim == 0) {
if (key == Py_Ellipsis ||
(PyTuple_Check(key) && PyTuple_GET_SIZE(key)==0)) {
ptr = (char *)view->buf;
return pack_single(self, ptr, value, fmt);
}
else {
PyErr_SetString(PyExc_TypeError,
"invalid indexing of 0-dim memory");
return -1;
}
}
if (_PyIndex_Check(key)) {
Py_ssize_t index;
if (1 < view->ndim) {
PyErr_SetString(PyExc_NotImplementedError,
"sub-views are not implemented");
return -1;
}
index = PyNumber_AsSsize_t(key, PyExc_IndexError);
if (index == -1 && PyErr_Occurred())
return -1;
ptr = ptr_from_index(view, index);
if (ptr == NULL)
return -1;
return pack_single(self, ptr, value, fmt);
}
/* one-dimensional: fast path */
if (PySlice_Check(key) && view->ndim == 1) {
Py_buffer dest; /* sliced view */
Py_ssize_t arrays[3];
int ret = -1;
/* rvalue must be an exporter */
if (PyObject_GetBuffer(value, &src, PyBUF_FULL_RO) < 0)
return ret;
dest = *view;
dest.shape = &arrays[0]; dest.shape[0] = view->shape[0];
dest.strides = &arrays[1]; dest.strides[0] = view->strides[0];
if (view->suboffsets) {
dest.suboffsets = &arrays[2]; dest.suboffsets[0] = view->suboffsets[0];
}
if (init_slice(&dest, key, 0) < 0)
goto end_block;
dest.len = dest.shape[0] * dest.itemsize;
ret = copy_single(self, &dest, &src);
end_block:
PyBuffer_Release(&src);
return ret;
}
if (is_multiindex(key)) {
char *ptr;
if (PyTuple_GET_SIZE(key) < view->ndim) {
PyErr_SetString(PyExc_NotImplementedError,
"sub-views are not implemented");
return -1;
}
ptr = ptr_from_tuple(view, key);
if (ptr == NULL)
return -1;
return pack_single(self, ptr, value, fmt);
}
if (PySlice_Check(key) || is_multislice(key)) {
/* Call memory_subscript() to produce a sliced lvalue, then copy
rvalue into lvalue. This is already implemented in _testbuffer.c. */
PyErr_SetString(PyExc_NotImplementedError,
"memoryview slice assignments are currently restricted "
"to ndim = 1");
return -1;
}
PyErr_SetString(PyExc_TypeError, "memoryview: invalid slice key");
return -1;
}
static Py_ssize_t
memory_length(PyObject *_self)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED_INT(self);
if (self->view.ndim == 0) {
PyErr_SetString(PyExc_TypeError, "0-dim memory has no length");
return -1;
}
return self->view.shape[0];
}
/* As mapping */
static PyMappingMethods memory_as_mapping = {
memory_length,                        /* mp_length */
memory_subscript,                     /* mp_subscript */
memory_ass_sub,                       /* mp_ass_subscript */
};
/* As sequence */
static PySequenceMethods memory_as_sequence = {
memory_length,                    /* sq_length */
0,                                /* sq_concat */
0,                                /* sq_repeat */
memory_item,                      /* sq_item */
};
/****************************************************************************/
/*                              Counting                                    */
/****************************************************************************/
/*[clinic input]
memoryview.count
value: object
/
Count the number of occurrences of a value.
[clinic start generated code]*/
static PyObject *
memoryview_count_impl(PyMemoryViewObject *self, PyObject *value)
/*[clinic end generated code: output=a15cb19311985063 input=e3036ce1ed7d1823]*/
{
PyObject *iter = PyObject_GetIter(_PyObject_CAST(self));
if (iter == NULL) {
return NULL;
}
Py_ssize_t count = 0;
PyObject *item = NULL;
while (PyIter_NextItem(iter, &item)) {
if (item == NULL) {
Py_DECREF(iter);
return NULL;
}
if (item == value) {
Py_DECREF(item);
count++;  // no overflow since count <= len(mv) <= PY_SSIZE_T_MAX
continue;
}
int contained = PyObject_RichCompareBool(item, value, Py_EQ);
Py_DECREF(item);
if (contained > 0) { // more likely than 'contained < 0'
count++;  // no overflow since count <= len(mv) <= PY_SSIZE_T_MAX
}
else if (contained < 0) {
Py_DECREF(iter);
return NULL;
}
}
Py_DECREF(iter);
return PyLong_FromSsize_t(count);
}
/**************************************************************************/
/*                             Lookup                                     */
/**************************************************************************/
/*[clinic input]
memoryview.index
value: object
start: slice_index(accept={int}) = 0
stop: slice_index(accept={int}, c_default="PY_SSIZE_T_MAX") = sys.maxsize
/
Return the index of the first occurrence of a value.
Raises ValueError if the value is not present.
[clinic start generated code]*/
static PyObject *
memoryview_index_impl(PyMemoryViewObject *self, PyObject *value,
Py_ssize_t start, Py_ssize_t stop)
/*[clinic end generated code: output=e0185e3819e549df input=0697a0165bf90b5a]*/
{
const Py_buffer *view = &self->view;
CHECK_RELEASED(self);
if (view->ndim == 0) {
PyErr_SetString(PyExc_TypeError, "invalid lookup on 0-dim memory");
return NULL;
}
if (view->ndim == 1) {
Py_ssize_t n = view->shape[0];
if (start < 0) {
start = Py_MAX(start + n, 0);
}
if (stop < 0) {
stop = Py_MAX(stop + n, 0);
}
stop = Py_MIN(stop, n);
assert(stop >= 0);
assert(stop <= n);
start = Py_MIN(start, stop);
assert(0 <= start);
assert(start <= stop);
PyObject *obj = _PyObject_CAST(self);
for (Py_ssize_t index = start; index < stop; index++) {
// Note: while memoryviews can be mutated during iterations
// when calling the == operator, their shape cannot. As such,
// it is safe to assume that the index remains valid for the
// entire loop.
assert(index < n);
PyObject *item = memory_item(obj, index);
if (item == NULL) {
return NULL;
}
if (item == value) {
Py_DECREF(item);
return PyLong_FromSsize_t(index);
}
int contained = PyObject_RichCompareBool(item, value, Py_EQ);
Py_DECREF(item);
if (contained > 0) {  // more likely than 'contained < 0'
return PyLong_FromSsize_t(index);
}
else if (contained < 0) {
return NULL;
}
}
PyErr_SetString(PyExc_ValueError, "memoryview.index(x): x not found");
return NULL;
}
PyErr_SetString(PyExc_NotImplementedError,
"multi-dimensional lookup is not implemented");
return NULL;
}
/**************************************************************************/
/*                             Comparisons                                */
/**************************************************************************/
#define MV_COMPARE_EX -1       /* exception */
#define MV_COMPARE_NOT_IMPL -2 /* not implemented */
/* Translate a StructError to "not equal". Preserve other exceptions. */
static int
fix_struct_error_int(void)
{
assert(PyErr_Occurred());
/* XXX Cannot get at StructError directly? */
if (PyErr_ExceptionMatches(PyExc_ImportError) ||
PyErr_ExceptionMatches(PyExc_MemoryError)) {
return MV_COMPARE_EX;
}
/* StructError: invalid or unknown format -> not equal */
PyErr_Clear();
return 0;
}
/* Unpack and compare single items of p and q using the struct module. */
static int
struct_unpack_cmp(const char *p, const char *q,
struct unpacker *unpack_p, struct unpacker *unpack_q)
{
PyObject *v, *w;
int ret;
/* At this point any exception from the struct module should not be
StructError, since both formats have been accepted already. */
v = struct_unpack_single(p, unpack_p);
if (v == NULL)
return MV_COMPARE_EX;
w = struct_unpack_single(q, unpack_q);
if (w == NULL) {
Py_DECREF(v);
return MV_COMPARE_EX;
}
/* MV_COMPARE_EX == -1: exceptions are preserved */
ret = PyObject_RichCompareBool(v, w, Py_EQ);
Py_DECREF(v);
Py_DECREF(w);
return ret;
}
/* Unpack and compare single items of p and q. If both p and q have the same
single element native format, the comparison uses a fast path (gcc creates
a jump table and converts memcpy into simple assignments on x86/x64).
Otherwise, the comparison is delegated to the struct module, which is
30-60x slower. */
#define CMP_SINGLE(p, q, type) \
do {                                 \
type x;                          \
type y;                          \
memcpy((char *)&x, p, sizeof x); \
memcpy((char *)&y, q, sizeof y); \
equal = (x == y);                \
} while (0)
static inline int
unpack_cmp(const char *p, const char *q, char fmt,
struct unpacker *unpack_p, struct unpacker *unpack_q)
{
int equal;
switch (fmt) {
/* signed integers and fast path for 'B' */
case 'B': return *((const unsigned char *)p) == *((const unsigned char *)q);
case 'b': return *((const signed char *)p) == *((const signed char *)q);
case 'h': CMP_SINGLE(p, q, short); return equal;
case 'i': CMP_SINGLE(p, q, int); return equal;
case 'l': CMP_SINGLE(p, q, long); return equal;
/* boolean */
case '?': CMP_SINGLE(p, q, _Bool); return equal;
/* unsigned integers */
case 'H': CMP_SINGLE(p, q, unsigned short); return equal;
case 'I': CMP_SINGLE(p, q, unsigned int); return equal;
case 'L': CMP_SINGLE(p, q, unsigned long); return equal;
/* native 64-bit */
case 'q': CMP_SINGLE(p, q, long long); return equal;
case 'Q': CMP_SINGLE(p, q, unsigned long long); return equal;
/* ssize_t and size_t */
case 'n': CMP_SINGLE(p, q, Py_ssize_t); return equal;
case 'N': CMP_SINGLE(p, q, size_t); return equal;
/* floats */
/* XXX DBL_EPSILON? */
case 'f': CMP_SINGLE(p, q, float); return equal;
case 'd': CMP_SINGLE(p, q, double); return equal;
case 'e': {
#if PY_LITTLE_ENDIAN
int endian = 1;
#else
int endian = 0;
#endif
/* Note: PyFloat_Unpack2 should never fail */
double u = PyFloat_Unpack2(p, endian);
double v = PyFloat_Unpack2(q, endian);
return (u == v);
}
/* bytes object */
case 'c': return *p == *q;
/* pointer */
case 'P': CMP_SINGLE(p, q, void *); return equal;
/* use the struct module */
case '_':
assert(unpack_p);
assert(unpack_q);
return struct_unpack_cmp(p, q, unpack_p, unpack_q);
}
/* NOT REACHED */
PyErr_SetString(PyExc_RuntimeError,
"memoryview: internal error in richcompare");
return MV_COMPARE_EX;
}
/* Base case for recursive array comparisons. Assumption: ndim == 1. */
static int
cmp_base(const char *p, const char *q, const Py_ssize_t *shape,
const Py_ssize_t *pstrides, const Py_ssize_t *psuboffsets,
const Py_ssize_t *qstrides, const Py_ssize_t *qsuboffsets,
char fmt, struct unpacker *unpack_p, struct unpacker *unpack_q)
{
Py_ssize_t i;
int equal;
for (i = 0; i < shape[0]; p+=pstrides[0], q+=qstrides[0], i++) {
const char *xp = ADJUST_PTR(p, psuboffsets, 0);
const char *xq = ADJUST_PTR(q, qsuboffsets, 0);
equal = unpack_cmp(xp, xq, fmt, unpack_p, unpack_q);
if (equal <= 0)
return equal;
}
return 1;
}
/* Recursively compare two multi-dimensional arrays that have the same
logical structure. Assumption: ndim >= 1. */
static int
cmp_rec(const char *p, const char *q,
Py_ssize_t ndim, const Py_ssize_t *shape,
const Py_ssize_t *pstrides, const Py_ssize_t *psuboffsets,
const Py_ssize_t *qstrides, const Py_ssize_t *qsuboffsets,
char fmt, struct unpacker *unpack_p, struct unpacker *unpack_q)
{
Py_ssize_t i;
int equal;
assert(ndim >= 1);
assert(shape != NULL);
assert(pstrides != NULL);
assert(qstrides != NULL);
if (ndim == 1) {
return cmp_base(p, q, shape,
pstrides, psuboffsets,
qstrides, qsuboffsets,
fmt, unpack_p, unpack_q);
}
for (i = 0; i < shape[0]; p+=pstrides[0], q+=qstrides[0], i++) {
const char *xp = ADJUST_PTR(p, psuboffsets, 0);
const char *xq = ADJUST_PTR(q, qsuboffsets, 0);
equal = cmp_rec(xp, xq, ndim-1, shape+1,
pstrides+1, psuboffsets ? psuboffsets+1 : NULL,
qstrides+1, qsuboffsets ? qsuboffsets+1 : NULL,
fmt, unpack_p, unpack_q);
if (equal <= 0)
return equal;
}
return 1;
}
static PyObject *
memory_richcompare(PyObject *v, PyObject *w, int op)
{
PyObject *res;
Py_buffer wbuf, *vv;
Py_buffer *ww = NULL;
struct unpacker *unpack_v = NULL;
struct unpacker *unpack_w = NULL;
char vfmt, wfmt;
int equal = MV_COMPARE_NOT_IMPL;
if (op != Py_EQ && op != Py_NE)
goto result; /* Py_NotImplemented */
assert(PyMemoryView_Check(v));
if (BASE_INACCESSIBLE(v)) {
equal = (v == w);
goto result;
}
vv = VIEW_ADDR(v);
if (PyMemoryView_Check(w)) {
if (BASE_INACCESSIBLE(w)) {
equal = (v == w);
goto result;
}
ww = VIEW_ADDR(w);
}
else {
if (PyObject_GetBuffer(w, &wbuf, PyBUF_FULL_RO) < 0) {
PyErr_Clear();
goto result; /* Py_NotImplemented */
}
ww = &wbuf;
}
if (!equiv_shape(vv, ww)) {
PyErr_Clear();
equal = 0;
goto result;
}
/* Use fast unpacking for identical primitive C type formats. */
if (get_native_fmtchar(&vfmt, vv->format) < 0)
vfmt = '_';
if (get_native_fmtchar(&wfmt, ww->format) < 0)
wfmt = '_';
if (vfmt == '_' || wfmt == '_' || vfmt != wfmt) {
/* Use struct module unpacking. NOTE: Even for equal format strings,
memcmp() cannot be used for item comparison since it would give
incorrect results in the case of NaNs or uninitialized padding
bytes. */
vfmt = '_';
unpack_v = struct_get_unpacker(vv->format, vv->itemsize);
if (unpack_v == NULL) {
equal = fix_struct_error_int();
goto result;
}
unpack_w = struct_get_unpacker(ww->format, ww->itemsize);
if (unpack_w == NULL) {
equal = fix_struct_error_int();
goto result;
}
}
if (vv->ndim == 0) {
equal = unpack_cmp(vv->buf, ww->buf,
vfmt, unpack_v, unpack_w);
}
else if (vv->ndim == 1) {
equal = cmp_base(vv->buf, ww->buf, vv->shape,
vv->strides, vv->suboffsets,
ww->strides, ww->suboffsets,
vfmt, unpack_v, unpack_w);
}
else {
equal = cmp_rec(vv->buf, ww->buf, vv->ndim, vv->shape,
vv->strides, vv->suboffsets,
ww->strides, ww->suboffsets,
vfmt, unpack_v, unpack_w);
}
result:
if (equal < 0) {
if (equal == MV_COMPARE_NOT_IMPL)
res = Py_NotImplemented;
else /* exception */
res = NULL;
}
else if ((equal && op == Py_EQ) || (!equal && op == Py_NE))
res = Py_True;
else
res = Py_False;
if (ww == &wbuf)
PyBuffer_Release(ww);
unpacker_free(unpack_v);
unpacker_free(unpack_w);
return Py_XNewRef(res);
}
/**************************************************************************/
/*                                Hash                                    */
/**************************************************************************/
static Py_hash_t
memory_hash(PyObject *_self)
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
if (self->hash == -1) {
Py_buffer *view = &self->view;
char *mem = view->buf;
Py_ssize_t ret;
char fmt;
CHECK_RELEASED_INT(self);
if (!view->readonly) {
PyErr_SetString(PyExc_ValueError,
"cannot hash writable memoryview object");
return -1;
}
ret = get_native_fmtchar(&fmt, view->format);
if (ret < 0 || !IS_BYTE_FORMAT(fmt)) {
PyErr_SetString(PyExc_ValueError,
"memoryview: hashing is restricted to formats 'B', 'b' or 'c'");
return -1;
}
if (view->obj != NULL) {
// Prevent 'self' from being freed when computing the item's hash.
// See https://github.com/python/cpython/issues/142664.
self->exports++;
Py_hash_t h = PyObject_Hash(view->obj);
self->exports--;
if (h == -1) {
/* Keep the original error message */
return -1;
}
}
if (!MV_C_CONTIGUOUS(self->flags)) {
mem = PyMem_Malloc(view->len);
if (mem == NULL) {
PyErr_NoMemory();
return -1;
}
if (buffer_to_contiguous(mem, view, 'C') < 0) {
PyMem_Free(mem);
return -1;
}
}
/* Can't fail */
self->hash = Py_HashBuffer(mem, view->len);
if (mem != view->buf)
PyMem_Free(mem);
}
return self->hash;
}
/**************************************************************************/
/*                                 getters                                */
/**************************************************************************/
static PyObject *
_IntTupleFromSsizet(int len, Py_ssize_t *vals)
{
int i;
PyObject *o;
PyObject *intTuple;
if (vals == NULL)
return PyTuple_New(0);
intTuple = PyTuple_New(len);
if (!intTuple)
return NULL;
for (i=0; i<len; i++) {
o = PyLong_FromSsize_t(vals[i]);
if (!o) {
Py_DECREF(intTuple);
return NULL;
}
PyTuple_SET_ITEM(intTuple, i, o);
}
return intTuple;
}
static PyObject *
memory_obj_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
Py_buffer *view = &self->view;
CHECK_RELEASED(self);
if (view->obj == NULL) {
Py_RETURN_NONE;
}
return Py_NewRef(view->obj);
}
static PyObject *
memory_nbytes_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyLong_FromSsize_t(self->view.len);
}
static PyObject *
memory_format_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyUnicode_FromString(self->view.format);
}
static PyObject *
memory_itemsize_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyLong_FromSsize_t(self->view.itemsize);
}
static PyObject *
memory_shape_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return _IntTupleFromSsizet(self->view.ndim, self->view.shape);
}
static PyObject *
memory_strides_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return _IntTupleFromSsizet(self->view.ndim, self->view.strides);
}
static PyObject *
memory_suboffsets_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return _IntTupleFromSsizet(self->view.ndim, self->view.suboffsets);
}
static PyObject *
memory_readonly_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyBool_FromLong(self->view.readonly);
}
static PyObject *
memory_ndim_get(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyLong_FromLong(self->view.ndim);
}
static PyObject *
memory_c_contiguous(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyBool_FromLong(MV_C_CONTIGUOUS(self->flags));
}
static PyObject *
memory_f_contiguous(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyBool_FromLong(MV_F_CONTIGUOUS(self->flags));
}
static PyObject *
memory_contiguous(PyObject *_self, void *Py_UNUSED(ignored))
{
PyMemoryViewObject *self = (PyMemoryViewObject *)_self;
CHECK_RELEASED(self);
return PyBool_FromLong(MV_ANY_CONTIGUOUS(self->flags));
}
PyDoc_STRVAR(memory_obj_doc,
"The underlying object of the memoryview.");
PyDoc_STRVAR(memory_nbytes_doc,
"The amount of space in bytes that the array would use in\n"
" a contiguous representation.");
PyDoc_STRVAR(memory_readonly_doc,
"A bool indicating whether the memory is read only.");
PyDoc_STRVAR(memory_itemsize_doc,
"The size in bytes of each element of the memoryview.");
PyDoc_STRVAR(memory_format_doc,
"A string containing the format (in struct module style)\n"
" for each element in the view.");
PyDoc_STRVAR(memory_ndim_doc,
"An integer indicating how many dimensions of a multi-dimensional\n"
" array the memory represents.");
PyDoc_STRVAR(memory_shape_doc,
"A tuple of ndim integers giving the shape of the memory\n"
" as an N-dimensional array.");
PyDoc_STRVAR(memory_strides_doc,
"A tuple of ndim integers giving the size in bytes to access\n"
" each element for each dimension of the array.");
PyDoc_STRVAR(memory_suboffsets_doc,
"A tuple of integers used internally for PIL-style arrays.");
PyDoc_STRVAR(memory_c_contiguous_doc,
"A bool indicating whether the memory is C contiguous.");
PyDoc_STRVAR(memory_f_contiguous_doc,
"A bool indicating whether the memory is Fortran contiguous.");
PyDoc_STRVAR(memory_contiguous_doc,
"A bool indicating whether the memory is contiguous.");
PyDoc_STRVAR(memory_exit_doc,
"__exit__($self, /, *exc_info)\n--\n\n"
"Release the underlying buffer exposed by the memoryview object.");
static PyGetSetDef memory_getsetlist[] = {
{"obj",             memory_obj_get,        NULL, memory_obj_doc},
{"nbytes",          memory_nbytes_get,     NULL, memory_nbytes_doc},
{"readonly",        memory_readonly_get,   NULL, memory_readonly_doc},
{"itemsize",        memory_itemsize_get,   NULL, memory_itemsize_doc},
{"format",          memory_format_get,     NULL, memory_format_doc},
{"ndim",            memory_ndim_get,       NULL, memory_ndim_doc},
{"shape",           memory_shape_get,      NULL, memory_shape_doc},
{"strides",         memory_strides_get,    NULL, memory_strides_doc},
{"suboffsets",      memory_suboffsets_get, NULL, memory_suboffsets_doc},
{"c_contiguous",    memory_c_contiguous,   NULL, memory_c_contiguous_doc},
{"f_contiguous",    memory_f_contiguous,   NULL, memory_f_contiguous_doc},
{"contiguous",      memory_contiguous,     NULL, memory_contiguous_doc},
{NULL, NULL, NULL, NULL},
};
static PyMethodDef memory_methods[] = {
MEMORYVIEW_RELEASE_METHODDEF
MEMORYVIEW_TOBYTES_METHODDEF
MEMORYVIEW_HEX_METHODDEF
MEMORYVIEW_TOLIST_METHODDEF
MEMORYVIEW_CAST_METHODDEF
MEMORYVIEW_TOREADONLY_METHODDEF
MEMORYVIEW__FROM_FLAGS_METHODDEF
MEMORYVIEW_COUNT_METHODDEF
MEMORYVIEW_INDEX_METHODDEF
{"__enter__",   memory_enter, METH_NOARGS, NULL},
{"__exit__",    memory_exit, METH_VARARGS, memory_exit_doc},
{"__class_getitem__", Py_GenericAlias, METH_O|METH_CLASS, PyDoc_STR("See PEP 585")},
{NULL,          NULL}
};
/**************************************************************************/
/*                          Memoryview Iterator                           */
/**************************************************************************/
PyTypeObject _PyMemoryIter_Type;
typedef struct {
PyObject_HEAD
Py_ssize_t it_index;
PyMemoryViewObject *it_seq; // Set to NULL when iterator is exhausted
Py_ssize_t it_length;
const char *it_fmt;
} memoryiterobject;
static void
memoryiter_dealloc(PyObject *self)
{
memoryiterobject *it = (memoryiterobject *)self;
_PyObject_GC_UNTRACK(it);
Py_XDECREF(it->it_seq);
PyObject_GC_Del(it);
}
static int
memoryiter_traverse(PyObject *self, visitproc visit, void *arg)
{
memoryiterobject *it = (memoryiterobject *)self;
Py_VISIT(it->it_seq);
return 0;
}
static PyObject *
memoryiter_next(PyObject *self)
{
memoryiterobject *it = (memoryiterobject *)self;
PyMemoryViewObject *seq;
seq = it->it_seq;
if (seq == NULL) {
return NULL;
}
if (it->it_index < it->it_length) {
CHECK_RELEASED(seq);
Py_buffer *view = &(seq->view);
char *ptr = (char *)seq->view.buf;
ptr += view->strides[0] * it->it_index++;
ptr = ADJUST_PTR(ptr, view->suboffsets, 0);
if (ptr == NULL) {
return NULL;
}
return unpack_single(seq, ptr, it->it_fmt);
}
it->it_seq = NULL;
Py_DECREF(seq);
return NULL;
}
static PyObject *
memory_iter(PyObject *seq)
{
if (!PyMemoryView_Check(seq)) {
PyErr_BadInternalCall();
return NULL;
}
CHECK_RELEASED(seq);
PyMemoryViewObject *obj = (PyMemoryViewObject *)seq;
int ndims = obj->view.ndim;
if (ndims == 0) {
PyErr_SetString(PyExc_TypeError, "invalid indexing of 0-dim memory");
return NULL;
}
if (ndims != 1) {
PyErr_SetString(PyExc_NotImplementedError,
"multi-dimensional sub-views are not implemented");
return NULL;
}
const char *fmt = adjust_fmt(&obj->view);
if (fmt == NULL) {
return NULL;
}
memoryiterobject *it;
it = PyObject_GC_New(memoryiterobject, &_PyMemoryIter_Type);
if (it == NULL) {
return NULL;
}
it->it_fmt = fmt;
it->it_length = memory_length((PyObject *)obj);
it->it_index = 0;
it->it_seq = (PyMemoryViewObject*)Py_NewRef(obj);
_PyObject_GC_TRACK(it);
return (PyObject *)it;
}
PyTypeObject _PyMemoryIter_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "memory_iterator",
.tp_basicsize = sizeof(memoryiterobject),
// methods
.tp_dealloc = memoryiter_dealloc,
.tp_getattro = PyObject_GenericGetAttr,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
.tp_traverse = memoryiter_traverse,
.tp_iter = PyObject_SelfIter,
.tp_iternext = memoryiter_next,
};
PyTypeObject PyMemoryView_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
"memoryview",                             /* tp_name */
offsetof(PyMemoryViewObject, ob_array),   /* tp_basicsize */
sizeof(Py_ssize_t),                       /* tp_itemsize */
memory_dealloc,                           /* tp_dealloc */
0,                                        /* tp_vectorcall_offset */
0,                                        /* tp_getattr */
0,                                        /* tp_setattr */
0,                                        /* tp_as_async */
memory_repr,                              /* tp_repr */
0,                                        /* tp_as_number */
&memory_as_sequence,                      /* tp_as_sequence */
&memory_as_mapping,                       /* tp_as_mapping */
memory_hash,                              /* tp_hash */
0,                                        /* tp_call */
0,                                        /* tp_str */
PyObject_GenericGetAttr,                  /* tp_getattro */
0,                                        /* tp_setattro */
&memory_as_buffer,                        /* tp_as_buffer */
Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC |
Py_TPFLAGS_SEQUENCE,                   /* tp_flags */
memoryview__doc__,                        /* tp_doc */
memory_traverse,                          /* tp_traverse */
memory_clear,                             /* tp_clear */
memory_richcompare,                       /* tp_richcompare */
offsetof(PyMemoryViewObject, weakreflist),/* tp_weaklistoffset */
memory_iter,                              /* tp_iter */
0,                                        /* tp_iternext */
memory_methods,                           /* tp_methods */
0,                                        /* tp_members */
memory_getsetlist,                        /* 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 */
memoryview,                               /* tp_new */
};

// types.GenericAlias -- used to represent e.g. list[int].
#include "Python.h"
#include "pycore_ceval.h"         // _PyEval_GetBuiltin()
#include "pycore_modsupport.h"    // _PyArg_NoKeywords()
#include "pycore_object.h"
#include "pycore_typevarobject.h" // _Py_typing_type_repr
#include "pycore_unicodeobject.h" // _PyUnicode_EqualToASCIIString()
#include "pycore_unionobject.h"   // _Py_union_type_or, _PyGenericAlias_Check
#include "pycore_weakref.h"       // FT_CLEAR_WEAKREFS()
#include <stdbool.h>
typedef struct {
PyObject_HEAD
PyObject *origin;
PyObject *args;
PyObject *parameters;
PyObject *weakreflist;
// Whether we're a starred type, e.g. *tuple[int].
bool starred;
vectorcallfunc vectorcall;
} gaobject;
typedef struct {
PyObject_HEAD
PyObject *obj;  /* Set to NULL when iterator is exhausted */
} gaiterobject;
static void
ga_dealloc(PyObject *self)
{
gaobject *alias = (gaobject *)self;
_PyObject_GC_UNTRACK(self);
FT_CLEAR_WEAKREFS(self, alias->weakreflist);
Py_XDECREF(alias->origin);
Py_XDECREF(alias->args);
Py_XDECREF(alias->parameters);
Py_TYPE(self)->tp_free(self);
}
static int
ga_traverse(PyObject *self, visitproc visit, void *arg)
{
gaobject *alias = (gaobject *)self;
Py_VISIT(alias->origin);
Py_VISIT(alias->args);
Py_VISIT(alias->parameters);
return 0;
}
static int
ga_repr_items_list(PyUnicodeWriter *writer, PyObject *p)
{
assert(PyList_CheckExact(p));
Py_ssize_t len = PyList_GET_SIZE(p);
if (PyUnicodeWriter_WriteChar(writer, '[') < 0) {
return -1;
}
for (Py_ssize_t i = 0; i < len; i++) {
if (i > 0) {
if (PyUnicodeWriter_WriteASCII(writer, ", ", 2) < 0) {
return -1;
}
}
PyObject *item = PyList_GetItemRef(p, i);
if (item == NULL) {
return -1;  // list can be mutated in a callback
}
if (_Py_typing_type_repr(writer, item) < 0) {
Py_DECREF(item);
return -1;
}
Py_DECREF(item);
}
if (PyUnicodeWriter_WriteChar(writer, ']') < 0) {
return -1;
}
return 0;
}
static PyObject *
ga_repr(PyObject *self)
{
gaobject *alias = (gaobject *)self;
Py_ssize_t len = PyTuple_GET_SIZE(alias->args);
// Estimation based on the shortest format: "int[int, int, int]"
Py_ssize_t estimate = (len <= PY_SSIZE_T_MAX / 5) ? len * 5 : len;
estimate = 3 + 1 + estimate + 1;
PyUnicodeWriter *writer = PyUnicodeWriter_Create(estimate);
if (writer == NULL) {
return NULL;
}
if (alias->starred) {
if (PyUnicodeWriter_WriteChar(writer, '*') < 0) {
goto error;
}
}
if (_Py_typing_type_repr(writer, alias->origin) < 0) {
goto error;
}
if (PyUnicodeWriter_WriteChar(writer, '[') < 0) {
goto error;
}
for (Py_ssize_t i = 0; i < len; i++) {
if (i > 0) {
if (PyUnicodeWriter_WriteASCII(writer, ", ", 2) < 0) {
goto error;
}
}
PyObject *p = PyTuple_GET_ITEM(alias->args, i);
if (PyList_CheckExact(p)) {
// Looks like we are working with ParamSpec's list of type args:
if (ga_repr_items_list(writer, p) < 0) {
goto error;
}
}
else if (_Py_typing_type_repr(writer, p) < 0) {
goto error;
}
}
if (len == 0) {
// for something like tuple[()] we should print a "()"
if (PyUnicodeWriter_WriteASCII(writer, "()", 2) < 0) {
goto error;
}
}
if (PyUnicodeWriter_WriteChar(writer, ']') < 0) {
goto error;
}
return PyUnicodeWriter_Finish(writer);
error:
PyUnicodeWriter_Discard(writer);
return NULL;
}
// Index of item in self[:len], or -1 if not found (self is a tuple)
static Py_ssize_t
tuple_index(PyObject *self, Py_ssize_t len, PyObject *item)
{
for (Py_ssize_t i = 0; i < len; i++) {
if (PyTuple_GET_ITEM(self, i) == item) {
return i;
}
}
return -1;
}
static int
tuple_add(PyObject *self, Py_ssize_t len, PyObject *item)
{
if (tuple_index(self, len, item) < 0) {
PyTuple_SET_ITEM(self, len, Py_NewRef(item));
return 1;
}
return 0;
}
static Py_ssize_t
tuple_extend(PyObject **dst, Py_ssize_t dstindex,
PyObject **src, Py_ssize_t count)
{
assert(count >= 0);
if (_PyTuple_Resize(dst, PyTuple_GET_SIZE(*dst) + count - 1) != 0) {
return -1;
}
assert(dstindex + count <= PyTuple_GET_SIZE(*dst));
for (Py_ssize_t i = 0; i < count; ++i) {
PyObject *item = src[i];
PyTuple_SET_ITEM(*dst, dstindex + i, Py_NewRef(item));
}
return dstindex + count;
}
PyObject *
_Py_make_parameters(PyObject *args)
{
assert(PyTuple_Check(args) || PyList_Check(args));
const bool is_args_list = PyList_Check(args);
PyObject *tuple_args = NULL;
if (is_args_list) {
args = tuple_args = PySequence_Tuple(args);
if (args == NULL) {
return NULL;
}
}
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
Py_ssize_t len = nargs;
PyObject *parameters = PyTuple_New(len);
if (parameters == NULL) {
Py_XDECREF(tuple_args);
return NULL;
}
Py_ssize_t iparam = 0;
for (Py_ssize_t iarg = 0; iarg < nargs; iarg++) {
PyObject *t = PyTuple_GET_ITEM(args, iarg);
// We don't want __parameters__ descriptor of a bare Python class.
if (PyType_Check(t)) {
continue;
}
int rc = PyObject_HasAttrWithError(t, &_Py_ID(__typing_subst__));
if (rc < 0) {
Py_DECREF(parameters);
Py_XDECREF(tuple_args);
return NULL;
}
if (rc) {
iparam += tuple_add(parameters, iparam, t);
}
else {
PyObject *subparams;
if (PyObject_GetOptionalAttr(t, &_Py_ID(__parameters__),
&subparams) < 0) {
Py_DECREF(parameters);
Py_XDECREF(tuple_args);
return NULL;
}
if (!subparams && (PyTuple_Check(t) || PyList_Check(t))) {
// Recursively call _Py_make_parameters for lists/tuples and
// add the results to the current parameters.
subparams = _Py_make_parameters(t);
if (subparams == NULL) {
Py_DECREF(parameters);
Py_XDECREF(tuple_args);
return NULL;
}
}
if (subparams && PyTuple_Check(subparams)) {
Py_ssize_t len2 = PyTuple_GET_SIZE(subparams);
Py_ssize_t needed = len2 - 1 - (iarg - iparam);
if (needed > 0) {
len += needed;
if (_PyTuple_Resize(&parameters, len) < 0) {
Py_DECREF(subparams);
Py_DECREF(parameters);
Py_XDECREF(tuple_args);
return NULL;
}
}
for (Py_ssize_t j = 0; j < len2; j++) {
PyObject *t2 = PyTuple_GET_ITEM(subparams, j);
iparam += tuple_add(parameters, iparam, t2);
}
}
Py_XDECREF(subparams);
}
}
if (iparam < len) {
if (_PyTuple_Resize(&parameters, iparam) < 0) {
Py_XDECREF(parameters);
Py_XDECREF(tuple_args);
return NULL;
}
}
Py_XDECREF(tuple_args);
return parameters;
}
/* If obj is a generic alias, substitute type variables params
with substitutions argitems.  For example, if obj is list[T],
params is (T, S), and argitems is (str, int), return list[str].
If obj doesn't have a __parameters__ attribute or that's not
a non-empty tuple, return a new reference to obj. */
static PyObject *
subs_tvars(PyObject *obj, PyObject *params,
PyObject **argitems, Py_ssize_t nargs)
{
PyObject *subparams;
if (PyObject_GetOptionalAttr(obj, &_Py_ID(__parameters__), &subparams) < 0) {
return NULL;
}
if (subparams && PyTuple_Check(subparams) && PyTuple_GET_SIZE(subparams)) {
Py_ssize_t nparams = PyTuple_GET_SIZE(params);
Py_ssize_t nsubargs = PyTuple_GET_SIZE(subparams);
PyObject *subargs = PyTuple_New(nsubargs);
if (subargs == NULL) {
Py_DECREF(subparams);
return NULL;
}
Py_ssize_t j = 0;
for (Py_ssize_t i = 0; i < nsubargs; ++i) {
PyObject *arg = PyTuple_GET_ITEM(subparams, i);
Py_ssize_t iparam = tuple_index(params, nparams, arg);
if (iparam >= 0) {
PyObject *param = PyTuple_GET_ITEM(params, iparam);
arg = argitems[iparam];
if (Py_TYPE(param)->tp_iter && PyTuple_Check(arg)) {  // TypeVarTuple
j = tuple_extend(&subargs, j,
&PyTuple_GET_ITEM(arg, 0),
PyTuple_GET_SIZE(arg));
if (j < 0) {
return NULL;
}
continue;
}
}
PyTuple_SET_ITEM(subargs, j, Py_NewRef(arg));
j++;
}
assert(j == PyTuple_GET_SIZE(subargs));
obj = PyObject_GetItem(obj, subargs);
Py_DECREF(subargs);
}
else {
Py_INCREF(obj);
}
Py_XDECREF(subparams);
return obj;
}
static int
_is_unpacked_typevartuple(PyObject *arg)
{
PyObject *tmp;
if (PyType_Check(arg)) { // TODO: Add test
return 0;
}
int res = PyObject_GetOptionalAttr(arg, &_Py_ID(__typing_is_unpacked_typevartuple__), &tmp);
if (res > 0) {
res = PyObject_IsTrue(tmp);
Py_DECREF(tmp);
}
return res;
}
static PyObject *
_unpacked_tuple_args(PyObject *arg)
{
PyObject *result;
assert(!PyType_Check(arg));
// Fast path
if (_PyGenericAlias_Check(arg) &&
((gaobject *)arg)->starred &&
((gaobject *)arg)->origin == (PyObject *)&PyTuple_Type)
{
result = ((gaobject *)arg)->args;
return Py_NewRef(result);
}
if (PyObject_GetOptionalAttr(arg, &_Py_ID(__typing_unpacked_tuple_args__), &result) > 0) {
if (result == Py_None) {
Py_DECREF(result);
return NULL;
}
return result;
}
return NULL;
}
static PyObject *
_unpack_args(PyObject *item)
{
PyObject *newargs = PyList_New(0);
if (newargs == NULL) {
return NULL;
}
int is_tuple = PyTuple_Check(item);
Py_ssize_t nitems = is_tuple ? PyTuple_GET_SIZE(item) : 1;
PyObject **argitems = is_tuple ? &PyTuple_GET_ITEM(item, 0) : &item;
for (Py_ssize_t i = 0; i < nitems; i++) {
item = argitems[i];
if (!PyType_Check(item)) {
PyObject *subargs = _unpacked_tuple_args(item);
if (subargs != NULL &&
PyTuple_Check(subargs) &&
!(PyTuple_GET_SIZE(subargs) &&
PyTuple_GET_ITEM(subargs, PyTuple_GET_SIZE(subargs)-1) == Py_Ellipsis))
{
if (PyList_SetSlice(newargs, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, subargs) < 0) {
Py_DECREF(subargs);
Py_DECREF(newargs);
return NULL;
}
Py_DECREF(subargs);
continue;
}
Py_XDECREF(subargs);
if (PyErr_Occurred()) {
Py_DECREF(newargs);
return NULL;
}
}
if (PyList_Append(newargs, item) < 0) {
Py_DECREF(newargs);
return NULL;
}
}
Py_SETREF(newargs, PySequence_Tuple(newargs));
return newargs;
}
PyObject *
_Py_subs_parameters(PyObject *self, PyObject *args, PyObject *parameters, PyObject *item)
{
Py_ssize_t nparams = PyTuple_GET_SIZE(parameters);
if (nparams == 0) {
return PyErr_Format(PyExc_TypeError,
"%R is not a generic class",
self);
}
item = _unpack_args(item);
for (Py_ssize_t i = 0; i < nparams; i++) {
PyObject *param = PyTuple_GET_ITEM(parameters, i);
PyObject *prepare, *tmp;
if (PyObject_GetOptionalAttr(param, &_Py_ID(__typing_prepare_subst__), &prepare) < 0) {
Py_DECREF(item);
return NULL;
}
if (prepare && prepare != Py_None) {
if (PyTuple_Check(item)) {
tmp = PyObject_CallFunction(prepare, "OO", self, item);
}
else {
tmp = PyObject_CallFunction(prepare, "O(O)", self, item);
}
Py_DECREF(prepare);
Py_SETREF(item, tmp);
if (item == NULL) {
return NULL;
}
}
}
int is_tuple = PyTuple_Check(item);
Py_ssize_t nitems = is_tuple ? PyTuple_GET_SIZE(item) : 1;
PyObject **argitems = is_tuple ? &PyTuple_GET_ITEM(item, 0) : &item;
if (nitems != nparams) {
Py_DECREF(item);
return PyErr_Format(PyExc_TypeError,
"Too %s arguments for %R; actual %zd, expected %zd",
nitems > nparams ? "many" : "few",
self, nitems, nparams);
}
/* Replace all type variables (specified by parameters)
with corresponding values specified by argitems.
t = list[T];          t[int]      -> newargs = [int]
t = dict[str, T];     t[int]      -> newargs = [str, int]
t = dict[T, list[S]]; t[str, int] -> newargs = [str, list[int]]
t = list[[T]];        t[str]      -> newargs = [[str]]
*/
assert (PyTuple_Check(args) || PyList_Check(args));
const bool is_args_list = PyList_Check(args);
PyObject *tuple_args = NULL;
if (is_args_list) {
args = tuple_args = PySequence_Tuple(args);
if (args == NULL) {
return NULL;
}
}
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
PyObject *newargs = PyTuple_New(nargs);
if (newargs == NULL) {
Py_DECREF(item);
Py_XDECREF(tuple_args);
return NULL;
}
for (Py_ssize_t iarg = 0, jarg = 0; iarg < nargs; iarg++) {
PyObject *arg = PyTuple_GET_ITEM(args, iarg);
if (PyType_Check(arg)) {
PyTuple_SET_ITEM(newargs, jarg, Py_NewRef(arg));
jarg++;
continue;
}
// Recursively substitute params in lists/tuples.
if (PyTuple_Check(arg) || PyList_Check(arg)) {
PyObject *subargs = _Py_subs_parameters(self, arg, parameters, item);
if (subargs == NULL) {
Py_DECREF(newargs);
Py_DECREF(item);
Py_XDECREF(tuple_args);
return NULL;
}
if (PyTuple_Check(arg)) {
PyTuple_SET_ITEM(newargs, jarg, subargs);
}
else {
// _Py_subs_parameters returns a tuple. If the original arg was a list,
// convert subargs to a list as well.
PyObject *subargs_list = PySequence_List(subargs);
Py_DECREF(subargs);
if (subargs_list == NULL) {
Py_DECREF(newargs);
Py_DECREF(item);
Py_XDECREF(tuple_args);
return NULL;
}
PyTuple_SET_ITEM(newargs, jarg, subargs_list);
}
jarg++;
continue;
}
int unpack = _is_unpacked_typevartuple(arg);
if (unpack < 0) {
Py_DECREF(newargs);
Py_DECREF(item);
Py_XDECREF(tuple_args);
return NULL;
}
PyObject *subst;
if (PyObject_GetOptionalAttr(arg, &_Py_ID(__typing_subst__), &subst) < 0) {
Py_DECREF(newargs);
Py_DECREF(item);
Py_XDECREF(tuple_args);
return NULL;
}
if (subst) {
Py_ssize_t iparam = tuple_index(parameters, nparams, arg);
assert(iparam >= 0);
arg = PyObject_CallOneArg(subst, argitems[iparam]);
Py_DECREF(subst);
}
else {
arg = subs_tvars(arg, parameters, argitems, nitems);
}
if (arg == NULL) {
Py_DECREF(newargs);
Py_DECREF(item);
Py_XDECREF(tuple_args);
return NULL;
}
if (unpack) {
if (!PyTuple_Check(arg)) {
Py_DECREF(newargs);
Py_DECREF(item);
Py_XDECREF(tuple_args);
PyObject *original = PyTuple_GET_ITEM(args, iarg);
PyErr_Format(PyExc_TypeError,
"expected __typing_subst__ of %T objects to return a tuple, not %T",
original, arg);
Py_DECREF(arg);
return NULL;
}
jarg = tuple_extend(&newargs, jarg,
&PyTuple_GET_ITEM(arg, 0), PyTuple_GET_SIZE(arg));
Py_DECREF(arg);
if (jarg < 0) {
Py_DECREF(item);
Py_XDECREF(tuple_args);
assert(newargs == NULL);
return NULL;
}
}
else {
PyTuple_SET_ITEM(newargs, jarg, arg);
jarg++;
}
}
Py_DECREF(item);
Py_XDECREF(tuple_args);
return newargs;
}
PyDoc_STRVAR(genericalias__doc__,
"GenericAlias(origin, args, /)\n"
"--\n\n"
"Represent a PEP 585 generic type\n"
"\n"
"E.g. for t = list[int], t.__origin__ is list and t.__args__ is (int,).");
static PyObject *
ga_getitem(PyObject *self, PyObject *item)
{
gaobject *alias = (gaobject *)self;
// Populate __parameters__ if needed.
if (alias->parameters == NULL) {
alias->parameters = _Py_make_parameters(alias->args);
if (alias->parameters == NULL) {
return NULL;
}
}
PyObject *newargs = _Py_subs_parameters(self, alias->args, alias->parameters, item);
if (newargs == NULL) {
return NULL;
}
PyObject *res = Py_GenericAlias(alias->origin, newargs);
if (res == NULL) {
Py_DECREF(newargs);
return NULL;
}
((gaobject *)res)->starred = alias->starred;
Py_DECREF(newargs);
return res;
}
static PyMappingMethods ga_as_mapping = {
.mp_subscript = ga_getitem,
};
static Py_hash_t
ga_hash(PyObject *self)
{
gaobject *alias = (gaobject *)self;
// TODO: Hash in the hash for the origin
Py_hash_t h0 = PyObject_Hash(alias->origin);
if (h0 == -1) {
return -1;
}
Py_hash_t h1 = PyObject_Hash(alias->args);
if (h1 == -1) {
return -1;
}
return h0 ^ h1;
}
static inline PyObject *
set_orig_class(PyObject *obj, PyObject *self)
{
if (obj != NULL) {
if (PyObject_SetAttr(obj, &_Py_ID(__orig_class__), self) < 0) {
if (!PyErr_ExceptionMatches(PyExc_AttributeError) &&
!PyErr_ExceptionMatches(PyExc_TypeError))
{
Py_DECREF(obj);
return NULL;
}
PyErr_Clear();
}
}
return obj;
}
static PyObject *
ga_call(PyObject *self, PyObject *args, PyObject *kwds)
{
gaobject *alias = (gaobject *)self;
PyObject *obj = PyObject_Call(alias->origin, args, kwds);
return set_orig_class(obj, self);
}
static PyObject *
ga_vectorcall(PyObject *self, PyObject *const *args,
size_t nargsf, PyObject *kwnames)
{
gaobject *alias = (gaobject *) self;
PyObject *obj = PyVectorcall_Function(alias->origin)(alias->origin, args, nargsf, kwnames);
return set_orig_class(obj, self);
}
static const char* const attr_exceptions[] = {
"__class__",
"__origin__",
"__args__",
"__unpacked__",
"__parameters__",
"__typing_unpacked_tuple_args__",
"__mro_entries__",
"__reduce_ex__",  // needed so we don't look up object.__reduce_ex__
"__reduce__",
NULL,
};
static const char* const attr_blocked[] = {
"__bases__",
"__copy__",
"__deepcopy__",
NULL,
};
static PyObject *
ga_getattro(PyObject *self, PyObject *name)
{
gaobject *alias = (gaobject *)self;
if (PyUnicode_Check(name)) {
// When we check blocked attrs, we don't allow to proxy them to `__origin__`.
// Otherwise, we can break existing code.
for (const char * const *p = attr_blocked; ; p++) {
if (*p == NULL) {
break;
}
if (_PyUnicode_EqualToASCIIString(name, *p)) {
goto generic_getattr;
}
}
// When we see own attrs, it has a priority over `__origin__`'s attr.
for (const char * const *p = attr_exceptions; ; p++) {
if (*p == NULL) {
return PyObject_GetAttr(alias->origin, name);
}
if (_PyUnicode_EqualToASCIIString(name, *p)) {
goto generic_getattr;
}
}
}
generic_getattr:
return PyObject_GenericGetAttr(self, name);
}
static PyObject *
ga_richcompare(PyObject *a, PyObject *b, int op)
{
if (!_PyGenericAlias_Check(b) ||
(op != Py_EQ && op != Py_NE))
{
Py_RETURN_NOTIMPLEMENTED;
}
if (op == Py_NE) {
PyObject *eq = ga_richcompare(a, b, Py_EQ);
if (eq == NULL)
return NULL;
Py_DECREF(eq);
if (eq == Py_True) {
Py_RETURN_FALSE;
}
else {
Py_RETURN_TRUE;
}
}
gaobject *aa = (gaobject *)a;
gaobject *bb = (gaobject *)b;
if (aa->starred != bb->starred) {
Py_RETURN_FALSE;
}
int eq = PyObject_RichCompareBool(aa->origin, bb->origin, Py_EQ);
if (eq < 0) {
return NULL;
}
if (!eq) {
Py_RETURN_FALSE;
}
return PyObject_RichCompare(aa->args, bb->args, Py_EQ);
}
static PyObject *
ga_mro_entries(PyObject *self, PyObject *args)
{
gaobject *alias = (gaobject *)self;
return PyTuple_Pack(1, alias->origin);
}
static PyObject *
ga_instancecheck(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyErr_SetString(PyExc_TypeError,
"isinstance() argument 2 cannot be a parameterized generic");
return NULL;
}
static PyObject *
ga_subclasscheck(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyErr_SetString(PyExc_TypeError,
"issubclass() argument 2 cannot be a parameterized generic");
return NULL;
}
static PyObject *
ga_reduce(PyObject *self, PyObject *Py_UNUSED(ignored))
{
gaobject *alias = (gaobject *)self;
if (alias->starred) {
PyObject *tmp = Py_GenericAlias(alias->origin, alias->args);
if (tmp != NULL) {
Py_SETREF(tmp, PyObject_GetIter(tmp));
}
if (tmp == NULL) {
return NULL;
}
return Py_BuildValue("N(N)", _PyEval_GetBuiltin(&_Py_ID(next)), tmp);
}
return Py_BuildValue("O(OO)", Py_TYPE(alias),
alias->origin, alias->args);
}
static PyObject *
ga_dir(PyObject *self, PyObject *Py_UNUSED(ignored))
{
gaobject *alias = (gaobject *)self;
PyObject *dir = PyObject_Dir(alias->origin);
if (dir == NULL) {
return NULL;
}
PyObject *dir_entry = NULL;
for (const char * const *p = attr_exceptions; ; p++) {
if (*p == NULL) {
break;
}
else {
dir_entry = PyUnicode_FromString(*p);
if (dir_entry == NULL) {
goto error;
}
int contains = PySequence_Contains(dir, dir_entry);
if (contains < 0) {
goto error;
}
if (contains == 0 && PyList_Append(dir, dir_entry) < 0) {
goto error;
}
Py_CLEAR(dir_entry);
}
}
return dir;
error:
Py_DECREF(dir);
Py_XDECREF(dir_entry);
return NULL;
}
static PyMethodDef ga_methods[] = {
{"__mro_entries__", ga_mro_entries, METH_O},
{"__instancecheck__", ga_instancecheck, METH_O},
{"__subclasscheck__", ga_subclasscheck, METH_O},
{"__reduce__", ga_reduce, METH_NOARGS},
{"__dir__", ga_dir, METH_NOARGS},
{0}
};
static PyMemberDef ga_members[] = {
{"__origin__", _Py_T_OBJECT, offsetof(gaobject, origin), Py_READONLY},
{"__args__", _Py_T_OBJECT, offsetof(gaobject, args), Py_READONLY},
{"__unpacked__", Py_T_BOOL, offsetof(gaobject, starred), Py_READONLY},
{0}
};
static PyObject *
ga_parameters(PyObject *self, void *unused)
{
gaobject *alias = (gaobject *)self;
if (alias->parameters == NULL) {
alias->parameters = _Py_make_parameters(alias->args);
if (alias->parameters == NULL) {
return NULL;
}
}
return Py_NewRef(alias->parameters);
}
static PyObject *
ga_unpacked_tuple_args(PyObject *self, void *unused)
{
gaobject *alias = (gaobject *)self;
if (alias->starred && alias->origin == (PyObject *)&PyTuple_Type) {
return Py_NewRef(alias->args);
}
Py_RETURN_NONE;
}
static PyGetSetDef ga_properties[] = {
{"__parameters__", ga_parameters, NULL, PyDoc_STR("Type variables in the GenericAlias."), NULL},
{"__typing_unpacked_tuple_args__", ga_unpacked_tuple_args, NULL, NULL},
{0}
};
/* A helper function to create GenericAlias' args tuple and set its attributes.
* Returns 1 on success, 0 on failure.
*/
static inline int
setup_ga(gaobject *alias, PyObject *origin, PyObject *args) {
if (!PyTuple_Check(args)) {
args = PyTuple_Pack(1, args);
if (args == NULL) {
return 0;
}
}
else {
Py_INCREF(args);
}
alias->origin = Py_NewRef(origin);
alias->args = args;
alias->parameters = NULL;
alias->weakreflist = NULL;
if (PyVectorcall_Function(origin) != NULL) {
alias->vectorcall = ga_vectorcall;
}
else {
alias->vectorcall = NULL;
}
return 1;
}
static PyObject *
ga_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
if (!_PyArg_NoKeywords("GenericAlias", kwds)) {
return NULL;
}
if (!_PyArg_CheckPositional("GenericAlias", PyTuple_GET_SIZE(args), 2, 2)) {
return NULL;
}
PyObject *origin = PyTuple_GET_ITEM(args, 0);
PyObject *arguments = PyTuple_GET_ITEM(args, 1);
gaobject *self = (gaobject *)type->tp_alloc(type, 0);
if (self == NULL) {
return NULL;
}
if (!setup_ga(self, origin, arguments)) {
Py_DECREF(self);
return NULL;
}
return (PyObject *)self;
}
static PyNumberMethods ga_as_number = {
.nb_or = _Py_union_type_or, // Add __or__ function
};
static PyObject *
ga_iternext(PyObject *op)
{
gaiterobject *gi = (gaiterobject*)op;
if (gi->obj == NULL) {
PyErr_SetNone(PyExc_StopIteration);
return NULL;
}
gaobject *alias = (gaobject *)gi->obj;
PyObject *starred_alias = Py_GenericAlias(alias->origin, alias->args);
if (starred_alias == NULL) {
return NULL;
}
((gaobject *)starred_alias)->starred = true;
Py_SETREF(gi->obj, NULL);
return starred_alias;
}
static void
ga_iter_dealloc(PyObject *op)
{
gaiterobject *gi = (gaiterobject*)op;
PyObject_GC_UnTrack(gi);
Py_XDECREF(gi->obj);
PyObject_GC_Del(gi);
}
static int
ga_iter_traverse(PyObject *op, visitproc visit, void *arg)
{
gaiterobject *gi = (gaiterobject*)op;
Py_VISIT(gi->obj);
return 0;
}
static int
ga_iter_clear(PyObject *self)
{
gaiterobject *gi = (gaiterobject *)self;
Py_CLEAR(gi->obj);
return 0;
}
static PyObject *
ga_iter_reduce(PyObject *self, PyObject *Py_UNUSED(ignored))
{
PyObject *iter = _PyEval_GetBuiltin(&_Py_ID(iter));
gaiterobject *gi = (gaiterobject *)self;
/* _PyEval_GetBuiltin can invoke arbitrary code,
* call must be before access of iterator pointers.
* see issue #101765 */
if (gi->obj)
return Py_BuildValue("N(O)", iter, gi->obj);
else
return Py_BuildValue("N(())", iter);
}
static PyMethodDef ga_iter_methods[] = {
{"__reduce__", ga_iter_reduce, METH_NOARGS},
{0}
};
// gh-91632: _Py_GenericAliasIterType is exported  to be cleared
// in _PyTypes_FiniTypes.
PyTypeObject _Py_GenericAliasIterType = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "generic_alias_iterator",
.tp_basicsize = sizeof(gaiterobject),
.tp_iter = PyObject_SelfIter,
.tp_iternext = ga_iternext,
.tp_traverse = ga_iter_traverse,
.tp_methods = ga_iter_methods,
.tp_dealloc = ga_iter_dealloc,
.tp_clear = ga_iter_clear,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
};
static PyObject *
ga_iter(PyObject *self) {
gaiterobject *gi = PyObject_GC_New(gaiterobject, &_Py_GenericAliasIterType);
if (gi == NULL) {
return NULL;
}
gi->obj = Py_NewRef(self);
PyObject_GC_Track(gi);
return (PyObject *)gi;
}
// TODO:
// - argument clinic?
// - cache?
PyTypeObject Py_GenericAliasType = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "types.GenericAlias",
.tp_doc = genericalias__doc__,
.tp_basicsize = sizeof(gaobject),
.tp_dealloc = ga_dealloc,
.tp_repr = ga_repr,
.tp_as_number = &ga_as_number,  // allow X | Y of GenericAlias objs
.tp_as_mapping = &ga_as_mapping,
.tp_hash = ga_hash,
.tp_call = ga_call,
.tp_getattro = ga_getattro,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE | Py_TPFLAGS_HAVE_VECTORCALL,
.tp_traverse = ga_traverse,
.tp_richcompare = ga_richcompare,
.tp_weaklistoffset = offsetof(gaobject, weakreflist),
.tp_methods = ga_methods,
.tp_members = ga_members,
.tp_alloc = PyType_GenericAlloc,
.tp_new = ga_new,
.tp_free = PyObject_GC_Del,
.tp_getset = ga_properties,
.tp_iter = ga_iter,
.tp_vectorcall_offset = offsetof(gaobject, vectorcall),
};
PyObject *
Py_GenericAlias(PyObject *origin, PyObject *args)
{
gaobject *alias = (gaobject*) PyType_GenericAlloc(
(PyTypeObject *)&Py_GenericAliasType, 0);
if (alias == NULL) {
return NULL;
}
if (!setup_ga(alias, origin, args)) {
Py_DECREF(alias);
return NULL;
}
return (PyObject *)alias;
}

/* Class object implementation (dead now except for methods) */
#include "Python.h"
#include "pycore_call.h"          // _PyObject_VectorcallTstate()
#include "pycore_ceval.h"         // _PyEval_GetBuiltin()
#include "pycore_freelist.h"
#include "pycore_object.h"
#include "pycore_pyerrors.h"
#include "pycore_pystate.h"       // _PyThreadState_GET()
#include "pycore_weakref.h"       // FT_CLEAR_WEAKREFS()
#include "clinic/classobject.c.h"
#define _PyMethodObject_CAST(op) _Py_CAST(PyMethodObject*, (op))
#define TP_DESCR_GET(t) ((t)->tp_descr_get)
/*[clinic input]
class method "PyMethodObject *" "&PyMethod_Type"
[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=b16e47edf6107c23]*/
PyObject *
PyMethod_Function(PyObject *im)
{
if (!PyMethod_Check(im)) {
PyErr_BadInternalCall();
return NULL;
}
return ((PyMethodObject *)im)->im_func;
}
PyObject *
PyMethod_Self(PyObject *im)
{
if (!PyMethod_Check(im)) {
PyErr_BadInternalCall();
return NULL;
}
return ((PyMethodObject *)im)->im_self;
}
static PyObject *
method_vectorcall(PyObject *method, PyObject *const *args,
size_t nargsf, PyObject *kwnames)
{
assert(Py_IS_TYPE(method, &PyMethod_Type));
PyThreadState *tstate = _PyThreadState_GET();
PyObject *self = PyMethod_GET_SELF(method);
PyObject *func = PyMethod_GET_FUNCTION(method);
Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
assert(nargs == 0 || args[nargs-1]);
PyObject *result;
if (nargsf & PY_VECTORCALL_ARGUMENTS_OFFSET) {
/* PY_VECTORCALL_ARGUMENTS_OFFSET is set, so we are allowed to mutate the vector */
PyObject **newargs = (PyObject**)args - 1;
nargs += 1;
PyObject *tmp = newargs[0];
newargs[0] = self;
assert(newargs[nargs-1]);
result = _PyObject_VectorcallTstate(tstate, func, newargs,
nargs, kwnames);
newargs[0] = tmp;
}
else {
Py_ssize_t nkwargs = (kwnames == NULL) ? 0 : PyTuple_GET_SIZE(kwnames);
Py_ssize_t totalargs = nargs + nkwargs;
if (totalargs == 0) {
return _PyObject_VectorcallTstate(tstate, func, &self, 1, NULL);
}
PyObject *newargs_stack[_PY_FASTCALL_SMALL_STACK];
PyObject **newargs;
if (totalargs <= (Py_ssize_t)Py_ARRAY_LENGTH(newargs_stack) - 1) {
newargs = newargs_stack;
}
else {
newargs = PyMem_Malloc((totalargs+1) * sizeof(PyObject *));
if (newargs == NULL) {
_PyErr_NoMemory(tstate);
return NULL;
}
}
/* use borrowed references */
newargs[0] = self;
/* bpo-37138: since totalargs > 0, it's impossible that args is NULL.
* We need this, since calling memcpy() with a NULL pointer is
* undefined behaviour. */
assert(args != NULL);
memcpy(newargs + 1, args, totalargs * sizeof(PyObject *));
result = _PyObject_VectorcallTstate(tstate, func,
newargs, nargs+1, kwnames);
if (newargs != newargs_stack) {
PyMem_Free(newargs);
}
}
return result;
}
/* Method objects are used for bound instance methods returned by
instancename.methodname. ClassName.methodname returns an ordinary
function.
*/
PyObject *
PyMethod_New(PyObject *func, PyObject *self)
{
if (self == NULL) {
PyErr_BadInternalCall();
return NULL;
}
PyMethodObject *im = _Py_FREELIST_POP(PyMethodObject, pymethodobjects);
if (im == NULL) {
im = PyObject_GC_New(PyMethodObject, &PyMethod_Type);
if (im == NULL) {
return NULL;
}
}
im->im_weakreflist = NULL;
im->im_func = Py_NewRef(func);
im->im_self = Py_NewRef(self);
im->vectorcall = method_vectorcall;
_PyObject_GC_TRACK(im);
return (PyObject *)im;
}
/*[clinic input]
method.__reduce__
[clinic start generated code]*/
static PyObject *
method___reduce___impl(PyMethodObject *self)
/*[clinic end generated code: output=6c04506d0fa6fdcb input=143a0bf5e96de6e8]*/
{
PyObject *funcself = PyMethod_GET_SELF(self);
PyObject *func = PyMethod_GET_FUNCTION(self);
PyObject *funcname = PyObject_GetAttr(func, &_Py_ID(__name__));
if (funcname == NULL) {
return NULL;
}
return Py_BuildValue(
"N(ON)", _PyEval_GetBuiltin(&_Py_ID(getattr)), funcself, funcname);
}
static PyMethodDef method_methods[] = {
METHOD___REDUCE___METHODDEF
{NULL, NULL}
};
/* Descriptors for PyMethod attributes */
/* im_func and im_self are stored in the PyMethod object */
#define MO_OFF(x) offsetof(PyMethodObject, x)
static PyMemberDef method_memberlist[] = {
{"__func__", _Py_T_OBJECT, MO_OFF(im_func), Py_READONLY,
"the function (or other callable) implementing a method"},
{"__self__", _Py_T_OBJECT, MO_OFF(im_self), Py_READONLY,
"the instance to which a method is bound"},
{NULL}      /* Sentinel */
};
/* Christian Tismer argued convincingly that method attributes should
(nearly) always override function attributes.
The one exception is __doc__; there's a default __doc__ which
should only be used for the class, not for instances */
static PyObject *
method_get_doc(PyObject *self, void *context)
{
PyMethodObject *im = _PyMethodObject_CAST(self);
return PyObject_GetAttr(im->im_func, &_Py_ID(__doc__));
}
static PyGetSetDef method_getset[] = {
{"__doc__", method_get_doc, NULL, NULL},
{0}
};
static PyObject *
method_getattro(PyObject *obj, PyObject *name)
{
PyMethodObject *im = (PyMethodObject *)obj;
PyTypeObject *tp = Py_TYPE(obj);
PyObject *descr = NULL;
{
if (!_PyType_IsReady(tp)) {
if (PyType_Ready(tp) < 0)
return NULL;
}
descr = _PyType_LookupRef(tp, name);
}
if (descr != NULL) {
descrgetfunc f = TP_DESCR_GET(Py_TYPE(descr));
if (f != NULL) {
PyObject *res = f(descr, obj, (PyObject *)Py_TYPE(obj));
Py_DECREF(descr);
return res;
}
else {
return descr;
}
}
return PyObject_GetAttr(im->im_func, name);
}
/*[clinic input]
@classmethod
method.__new__ as method_new
function: object
instance: object
/
Create a bound instance method object.
[clinic start generated code]*/
static PyObject *
method_new_impl(PyTypeObject *type, PyObject *function, PyObject *instance)
/*[clinic end generated code: output=d33ef4ebf702e1f7 input=4e32facc3c3108ae]*/
{
if (!PyCallable_Check(function)) {
PyErr_SetString(PyExc_TypeError,
"first argument must be callable");
return NULL;
}
if (instance == NULL || instance == Py_None) {
PyErr_SetString(PyExc_TypeError,
"instance must not be None");
return NULL;
}
return PyMethod_New(function, instance);
}
static void
method_dealloc(PyObject *self)
{
PyMethodObject *im = _PyMethodObject_CAST(self);
_PyObject_GC_UNTRACK(im);
FT_CLEAR_WEAKREFS(self, im->im_weakreflist);
Py_DECREF(im->im_func);
Py_XDECREF(im->im_self);
assert(Py_IS_TYPE(self, &PyMethod_Type));
_Py_FREELIST_FREE(pymethodobjects, (PyObject *)im, PyObject_GC_Del);
}
static PyObject *
method_richcompare(PyObject *self, PyObject *other, int op)
{
PyMethodObject *a, *b;
PyObject *res;
int eq;
if ((op != Py_EQ && op != Py_NE) ||
!PyMethod_Check(self) ||
!PyMethod_Check(other))
{
Py_RETURN_NOTIMPLEMENTED;
}
a = (PyMethodObject *)self;
b = (PyMethodObject *)other;
eq = PyObject_RichCompareBool(a->im_func, b->im_func, Py_EQ);
if (eq == 1) {
eq = (a->im_self == b->im_self);
}
else if (eq < 0)
return NULL;
if (op == Py_EQ)
res = eq ? Py_True : Py_False;
else
res = eq ? Py_False : Py_True;
return Py_NewRef(res);
}
static PyObject *
method_repr(PyObject *op)
{
PyMethodObject *a = _PyMethodObject_CAST(op);
PyObject *self = a->im_self;
PyObject *func = a->im_func;
PyObject *funcname, *result;
const char *defname = "?";
if (PyObject_GetOptionalAttr(func, &_Py_ID(__qualname__), &funcname) < 0 ||
(funcname == NULL &&
PyObject_GetOptionalAttr(func, &_Py_ID(__name__), &funcname) < 0))
{
return NULL;
}
if (funcname != NULL && !PyUnicode_Check(funcname)) {
Py_SETREF(funcname, NULL);
}
/* XXX Shouldn't use repr()/%R here! */
result = PyUnicode_FromFormat("<bound method %V of %R>",
funcname, defname, self);
Py_XDECREF(funcname);
return result;
}
static Py_hash_t
method_hash(PyObject *self)
{
PyMethodObject *a = _PyMethodObject_CAST(self);
Py_hash_t x = PyObject_GenericHash(a->im_self);
Py_hash_t y = PyObject_Hash(a->im_func);
if (y == -1) {
return -1;
}
x = x ^ y;
if (x == -1) {
x = -2;
}
return x;
}
static int
method_traverse(PyObject *self, visitproc visit, void *arg)
{
PyMethodObject *im = _PyMethodObject_CAST(self);
Py_VISIT(im->im_func);
Py_VISIT(im->im_self);
return 0;
}
static PyObject *
method_descr_get(PyObject *meth, PyObject *obj, PyObject *cls)
{
Py_INCREF(meth);
return meth;
}
PyTypeObject PyMethod_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "method",
.tp_basicsize = sizeof(PyMethodObject),
.tp_dealloc = method_dealloc,
.tp_vectorcall_offset = offsetof(PyMethodObject, vectorcall),
.tp_repr = method_repr,
.tp_hash = method_hash,
.tp_call = PyVectorcall_Call,
.tp_getattro = method_getattro,
.tp_setattro = PyObject_GenericSetAttr,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC |
Py_TPFLAGS_HAVE_VECTORCALL,
.tp_doc = method_new__doc__,
.tp_traverse = method_traverse,
.tp_richcompare = method_richcompare,
.tp_weaklistoffset = offsetof(PyMethodObject, im_weakreflist),
.tp_methods = method_methods,
.tp_members = method_memberlist,
.tp_getset = method_getset,
.tp_descr_get = method_descr_get,
.tp_new = method_new,
};
/* ------------------------------------------------------------------------
* instance method
*/
/*[clinic input]
class instancemethod "PyInstanceMethodObject *" "&PyInstanceMethod_Type"
[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=28c9762a9016f4d2]*/
PyObject *
PyInstanceMethod_New(PyObject *func) {
PyInstanceMethodObject *method;
method = PyObject_GC_New(PyInstanceMethodObject,
&PyInstanceMethod_Type);
if (method == NULL) return NULL;
method->func = Py_NewRef(func);
_PyObject_GC_TRACK(method);
return (PyObject *)method;
}
PyObject *
PyInstanceMethod_Function(PyObject *im)
{
if (!PyInstanceMethod_Check(im)) {
PyErr_BadInternalCall();
return NULL;
}
return PyInstanceMethod_GET_FUNCTION(im);
}
#define IMO_OFF(x) offsetof(PyInstanceMethodObject, x)
static PyMemberDef instancemethod_memberlist[] = {
{"__func__", _Py_T_OBJECT, IMO_OFF(func), Py_READONLY,
"the function (or other callable) implementing a method"},
{NULL}      /* Sentinel */
};
static PyObject *
instancemethod_get_doc(PyObject *self, void *context)
{
return PyObject_GetAttr(PyInstanceMethod_GET_FUNCTION(self),
&_Py_ID(__doc__));
}
static PyGetSetDef instancemethod_getset[] = {
{"__doc__", instancemethod_get_doc, NULL, NULL},
{0}
};
static PyObject *
instancemethod_getattro(PyObject *self, PyObject *name)
{
PyTypeObject *tp = Py_TYPE(self);
PyObject *descr = NULL;
if (!_PyType_IsReady(tp)) {
if (PyType_Ready(tp) < 0)
return NULL;
}
descr = _PyType_LookupRef(tp, name);
if (descr != NULL) {
descrgetfunc f = TP_DESCR_GET(Py_TYPE(descr));
if (f != NULL) {
PyObject *res = f(descr, self, (PyObject *)Py_TYPE(self));
Py_DECREF(descr);
return res;
}
else {
return descr;
}
}
return PyObject_GetAttr(PyInstanceMethod_GET_FUNCTION(self), name);
}
static void
instancemethod_dealloc(PyObject *self) {
_PyObject_GC_UNTRACK(self);
Py_DECREF(PyInstanceMethod_GET_FUNCTION(self));
PyObject_GC_Del(self);
}
static int
instancemethod_traverse(PyObject *self, visitproc visit, void *arg) {
Py_VISIT(PyInstanceMethod_GET_FUNCTION(self));
return 0;
}
static PyObject *
instancemethod_call(PyObject *self, PyObject *arg, PyObject *kw)
{
return PyObject_Call(PyInstanceMethod_GET_FUNCTION(self), arg, kw);
}
static PyObject *
instancemethod_descr_get(PyObject *descr, PyObject *obj, PyObject *type) {
PyObject *func = PyInstanceMethod_GET_FUNCTION(descr);
if (obj == NULL) {
return Py_NewRef(func);
}
else
return PyMethod_New(func, obj);
}
static PyObject *
instancemethod_richcompare(PyObject *self, PyObject *other, int op)
{
PyInstanceMethodObject *a, *b;
PyObject *res;
int eq;
if ((op != Py_EQ && op != Py_NE) ||
!PyInstanceMethod_Check(self) ||
!PyInstanceMethod_Check(other))
{
Py_RETURN_NOTIMPLEMENTED;
}
a = (PyInstanceMethodObject *)self;
b = (PyInstanceMethodObject *)other;
eq = PyObject_RichCompareBool(a->func, b->func, Py_EQ);
if (eq < 0)
return NULL;
if (op == Py_EQ)
res = eq ? Py_True : Py_False;
else
res = eq ? Py_False : Py_True;
return Py_NewRef(res);
}
static PyObject *
instancemethod_repr(PyObject *self)
{
PyObject *func = PyInstanceMethod_Function(self);
PyObject *funcname, *result;
const char *defname = "?";
if (func == NULL) {
PyErr_BadInternalCall();
return NULL;
}
if (PyObject_GetOptionalAttr(func, &_Py_ID(__name__), &funcname) < 0) {
return NULL;
}
if (funcname != NULL && !PyUnicode_Check(funcname)) {
Py_SETREF(funcname, NULL);
}
result = PyUnicode_FromFormat("<instancemethod %V at %p>",
funcname, defname, self);
Py_XDECREF(funcname);
return result;
}
/*[clinic input]
@classmethod
instancemethod.__new__ as instancemethod_new
function: object
/
Bind a function to a class.
[clinic start generated code]*/
static PyObject *
instancemethod_new_impl(PyTypeObject *type, PyObject *function)
/*[clinic end generated code: output=5e0397b2bdb750be input=cfc54e8b973664a8]*/
{
if (!PyCallable_Check(function)) {
PyErr_SetString(PyExc_TypeError,
"first argument must be callable");
return NULL;
}
return PyInstanceMethod_New(function);
}
PyTypeObject PyInstanceMethod_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "instancemethod",
.tp_basicsize = sizeof(PyInstanceMethodObject),
.tp_dealloc = instancemethod_dealloc,
.tp_repr = instancemethod_repr,
.tp_call = instancemethod_call,
.tp_getattro = instancemethod_getattro,
.tp_setattro = PyObject_GenericSetAttr,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
.tp_doc = instancemethod_new__doc__,
.tp_traverse = instancemethod_traverse,
.tp_richcompare = instancemethod_richcompare,
.tp_members = instancemethod_memberlist,
.tp_getset = instancemethod_getset,
.tp_descr_get = instancemethod_descr_get,
.tp_new = instancemethod_new,
};

/* this file was generated by Tools/unicode/makeunicodedata.py 3.3 */
/* a list of unique character type descriptors */
const _PyUnicode_TypeRecord _PyUnicode_TypeRecords[] = {
{0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 32},
{0, 0, 0, 0, 0, 48},
{0, 0, 0, 0, 0, 1056},
{0, 0, 0, 0, 0, 1024},
{0, 0, 0, 0, 0, 5120},
{0, 0, 0, 0, 0, 3590},
{0, 0, 0, 1, 1, 3590},
{0, 0, 0, 2, 2, 3590},
{0, 0, 0, 3, 3, 3590},
{0, 0, 0, 4, 4, 3590},
{0, 0, 0, 5, 5, 3590},
{0, 0, 0, 6, 6, 3590},
{0, 0, 0, 7, 7, 3590},
{0, 0, 0, 8, 8, 3590},
{0, 0, 0, 9, 9, 3590},
{0, 32, 0, 0, 0, 10113},
{0, 0, 0, 0, 0, 1536},
{-32, 0, -32, 0, 0, 9993},
{0, 0, 0, 0, 0, 9993},
{0, 0, 0, 0, 0, 4096},
{0, 0, 0, 0, 2, 3076},
{0, 0, 0, 0, 3, 3076},
{16777218, 17825792, 16777218, 0, 0, 26377},
{0, 0, 0, 0, 0, 5632},
{0, 0, 0, 0, 1, 3076},
{0, 0, 0, 0, 0, 3072},
{33554438, 18874371, 33554440, 0, 0, 26377},
{121, 0, 121, 0, 0, 9993},
{0, 1, 0, 0, 0, 10113},
{-1, 0, -1, 0, 0, 9993},
{16777228, 33554442, 16777228, 0, 0, 26497},
{-232, 0, -232, 0, 0, 9993},
{33554448, 18874381, 33554448, 0, 0, 26377},
{0, -121, 0, 0, 0, 10113},
{16777236, 17825810, 16777236, 0, 0, 26377},
{195, 0, 195, 0, 0, 9993},
{0, 210, 0, 0, 0, 10113},
{0, 206, 0, 0, 0, 10113},
{0, 205, 0, 0, 0, 10113},
{0, 79, 0, 0, 0, 10113},
{0, 202, 0, 0, 0, 10113},
{0, 203, 0, 0, 0, 10113},
{0, 207, 0, 0, 0, 10113},
{97, 0, 97, 0, 0, 9993},
{0, 211, 0, 0, 0, 10113},
{0, 209, 0, 0, 0, 10113},
{163, 0, 163, 0, 0, 9993},
{42561, 0, 42561, 0, 0, 9993},
{0, 213, 0, 0, 0, 10113},
{130, 0, 130, 0, 0, 9993},
{0, 214, 0, 0, 0, 10113},
{0, 218, 0, 0, 0, 10113},
{0, 217, 0, 0, 0, 10113},
{0, 219, 0, 0, 0, 10113},
{0, 0, 0, 0, 0, 1793},
{56, 0, 56, 0, 0, 9993},
{0, 2, 1, 0, 0, 10113},
{-1, 1, 0, 0, 0, 10049},
{-2, 0, -1, 0, 0, 9993},
{-79, 0, -79, 0, 0, 9993},
{33554456, 18874389, 33554456, 0, 0, 26377},
{0, -97, 0, 0, 0, 10113},
{0, -56, 0, 0, 0, 10113},
{0, -130, 0, 0, 0, 10113},
{0, 10795, 0, 0, 0, 10113},
{0, -163, 0, 0, 0, 10113},
{0, 10792, 0, 0, 0, 10113},
{10815, 0, 10815, 0, 0, 9993},
{0, -195, 0, 0, 0, 10113},
{0, 69, 0, 0, 0, 10113},
{0, 71, 0, 0, 0, 10113},
{10783, 0, 10783, 0, 0, 9993},
{10780, 0, 10780, 0, 0, 9993},
{10782, 0, 10782, 0, 0, 9993},
{-210, 0, -210, 0, 0, 9993},
{-206, 0, -206, 0, 0, 9993},
{-205, 0, -205, 0, 0, 9993},
{-202, 0, -202, 0, 0, 9993},
{-203, 0, -203, 0, 0, 9993},
{42319, 0, 42319, 0, 0, 9993},
{42315, 0, 42315, 0, 0, 9993},
{-207, 0, -207, 0, 0, 9993},
{42343, 0, 42343, 0, 0, 9993},
{42280, 0, 42280, 0, 0, 9993},
{42308, 0, 42308, 0, 0, 9993},
{-209, 0, -209, 0, 0, 9993},
{-211, 0, -211, 0, 0, 9993},
{10743, 0, 10743, 0, 0, 9993},
{42305, 0, 42305, 0, 0, 9993},
{10749, 0, 10749, 0, 0, 9993},
{-213, 0, -213, 0, 0, 9993},
{-214, 0, -214, 0, 0, 9993},
{10727, 0, 10727, 0, 0, 9993},
{-218, 0, -218, 0, 0, 9993},
{42307, 0, 42307, 0, 0, 9993},
{42282, 0, 42282, 0, 0, 9993},
{-69, 0, -69, 0, 0, 9993},
{-217, 0, -217, 0, 0, 9993},
{-71, 0, -71, 0, 0, 9993},
{-219, 0, -219, 0, 0, 9993},
{42261, 0, 42261, 0, 0, 9993},
{42258, 0, 42258, 0, 0, 9993},
{0, 0, 0, 0, 0, 14089},
{0, 0, 0, 0, 0, 5889},
{16777244, 17825818, 16777244, 0, 0, 30216},
{0, 0, 0, 0, 0, 13321},
{0, 116, 0, 0, 0, 10113},
{0, 38, 0, 0, 0, 10113},
{0, 37, 0, 0, 0, 10113},
{0, 64, 0, 0, 0, 10113},
{0, 63, 0, 0, 0, 10113},
{50331681, 19922973, 50331681, 0, 0, 26377},
{-38, 0, -38, 0, 0, 9993},
{-37, 0, -37, 0, 0, 9993},
{50331688, 19922980, 50331688, 0, 0, 26377},
{16777261, 17825835, 16777261, 0, 0, 26377},
{-64, 0, -64, 0, 0, 9993},
{-63, 0, -63, 0, 0, 9993},
{0, 8, 0, 0, 0, 10113},
{16777264, 17825838, 16777264, 0, 0, 26377},
{16777267, 17825841, 16777267, 0, 0, 26377},
{0, 0, 0, 0, 0, 10113},
{16777270, 17825844, 16777270, 0, 0, 26377},
{16777273, 17825847, 16777273, 0, 0, 26377},
{-8, 0, -8, 0, 0, 9993},
{16777276, 17825850, 16777276, 0, 0, 26377},
{16777279, 17825853, 16777279, 0, 0, 26377},
{7, 0, 7, 0, 0, 9993},
{-116, 0, -116, 0, 0, 9993},
{0, -60, 0, 0, 0, 10113},
{16777282, 17825856, 16777282, 0, 0, 26377},
{0, -7, 0, 0, 0, 10113},
{0, 80, 0, 0, 0, 10113},
{-80, 0, -80, 0, 0, 9993},
{0, 15, 0, 0, 0, 10113},
{-15, 0, -15, 0, 0, 9993},
{0, 48, 0, 0, 0, 10113},
{-48, 0, -48, 0, 0, 9993},
{33554502, 18874435, 33554504, 0, 0, 26377},
{0, 0, 0, 0, 0, 1537},
{0, 7264, 0, 0, 0, 10113},
{3008, 0, 0, 0, 0, 9993},
{0, 0, 0, 0, 1, 3588},
{0, 0, 0, 0, 2, 3588},
{0, 0, 0, 0, 3, 3588},
{0, 0, 0, 0, 4, 3588},
{0, 0, 0, 0, 5, 3588},
{0, 0, 0, 0, 6, 3588},
{0, 0, 0, 0, 7, 3588},
{0, 0, 0, 0, 8, 3588},
{0, 0, 0, 0, 9, 3588},
{16777292, 17825866, 16777292, 0, 0, 26497},
{16777295, 17825869, 16777295, 0, 0, 26497},
{16777298, 17825872, 16777298, 0, 0, 26497},
{16777301, 17825875, 16777301, 0, 0, 26497},
{16777304, 17825878, 16777304, 0, 0, 26497},
{16777307, 17825881, 16777307, 0, 0, 26497},
{16777310, 17825884, 16777310, 0, 0, 26497},
{16777313, 17825887, 16777313, 0, 0, 26497},
{16777316, 17825890, 16777316, 0, 0, 26497},
{16777319, 17825893, 16777319, 0, 0, 26497},
{16777322, 17825896, 16777322, 0, 0, 26497},
{16777325, 17825899, 16777325, 0, 0, 26497},
{16777328, 17825902, 16777328, 0, 0, 26497},
{16777331, 17825905, 16777331, 0, 0, 26497},
{16777334, 17825908, 16777334, 0, 0, 26497},
{16777337, 17825911, 16777337, 0, 0, 26497},
{16777340, 17825914, 16777340, 0, 0, 26497},
{16777343, 17825917, 16777343, 0, 0, 26497},
{16777346, 17825920, 16777346, 0, 0, 26497},
{16777349, 17825923, 16777349, 0, 0, 26497},
{16777352, 17825926, 16777352, 0, 0, 26497},
{16777355, 17825929, 16777355, 0, 0, 26497},
{16777358, 17825932, 16777358, 0, 0, 26497},
{16777361, 17825935, 16777361, 0, 0, 26497},
{16777364, 17825938, 16777364, 0, 0, 26497},
{16777367, 17825941, 16777367, 0, 0, 26497},
{16777370, 17825944, 16777370, 0, 0, 26497},
{16777373, 17825947, 16777373, 0, 0, 26497},
{16777376, 17825950, 16777376, 0, 0, 26497},
{16777379, 17825953, 16777379, 0, 0, 26497},
{16777382, 17825956, 16777382, 0, 0, 26497},
{16777385, 17825959, 16777385, 0, 0, 26497},
{16777388, 17825962, 16777388, 0, 0, 26497},
{16777391, 17825965, 16777391, 0, 0, 26497},
{16777394, 17825968, 16777394, 0, 0, 26497},
{16777397, 17825971, 16777397, 0, 0, 26497},
{16777400, 17825974, 16777400, 0, 0, 26497},
{16777403, 17825977, 16777403, 0, 0, 26497},
{16777406, 17825980, 16777406, 0, 0, 26497},
{16777409, 17825983, 16777409, 0, 0, 26497},
{16777412, 17825986, 16777412, 0, 0, 26497},
{16777415, 17825989, 16777415, 0, 0, 26497},
{16777418, 17825992, 16777418, 0, 0, 26497},
{16777421, 17825995, 16777421, 0, 0, 26497},
{16777424, 17825998, 16777424, 0, 0, 26497},
{16777427, 17826001, 16777427, 0, 0, 26497},
{16777430, 17826004, 16777430, 0, 0, 26497},
{16777433, 17826007, 16777433, 0, 0, 26497},
{16777436, 17826010, 16777436, 0, 0, 26497},
{16777439, 17826013, 16777439, 0, 0, 26497},
{16777442, 17826016, 16777442, 0, 0, 26497},
{16777445, 17826019, 16777445, 0, 0, 26497},
{16777448, 17826022, 16777448, 0, 0, 26497},
{16777451, 17826025, 16777451, 0, 0, 26497},
{16777454, 17826028, 16777454, 0, 0, 26497},
{16777457, 17826031, 16777457, 0, 0, 26497},
{16777460, 17826034, 16777460, 0, 0, 26497},
{16777463, 17826037, 16777463, 0, 0, 26497},
{16777466, 17826040, 16777466, 0, 0, 26497},
{16777469, 17826043, 16777469, 0, 0, 26497},
{16777472, 17826046, 16777472, 0, 0, 26497},
{16777475, 17826049, 16777475, 0, 0, 26497},
{16777478, 17826052, 16777478, 0, 0, 26497},
{16777481, 17826055, 16777481, 0, 0, 26497},
{16777484, 17826058, 16777484, 0, 0, 26497},
{16777487, 17826061, 16777487, 0, 0, 26497},
{16777490, 17826064, 16777490, 0, 0, 26497},
{16777493, 17826067, 16777493, 0, 0, 26497},
{16777496, 17826070, 16777496, 0, 0, 26497},
{16777499, 17826073, 16777499, 0, 0, 26497},
{16777502, 17826076, 16777502, 0, 0, 26497},
{16777505, 17826079, 16777505, 0, 0, 26497},
{16777508, 17826082, 16777508, 0, 0, 26497},
{16777511, 17826085, 16777511, 0, 0, 26497},
{16777514, 17826088, 16777514, 0, 0, 26497},
{16777517, 17826091, 16777517, 0, 0, 26497},
{16777520, 17826094, 16777520, 0, 0, 26497},
{16777523, 17826097, 16777523, 0, 0, 26497},
{16777526, 17826100, 16777526, 0, 0, 26497},
{16777529, 17826103, 16777529, 0, 0, 26497},
{16777532, 17826106, 16777532, 0, 0, 26497},
{16777535, 17826109, 16777535, 0, 0, 26497},
{16777538, 17826112, 16777538, 0, 0, 26497},
{16777541, 17826115, 16777541, 0, 0, 26497},
{16777544, 17826118, 16777544, 0, 0, 26497},
{16777547, 17826121, 16777547, 0, 0, 26497},
{16777550, 17826124, 16777550, 0, 0, 26377},
{16777553, 17826127, 16777553, 0, 0, 26377},
{16777556, 17826130, 16777556, 0, 0, 26377},
{16777559, 17826133, 16777559, 0, 0, 26377},
{16777562, 17826136, 16777562, 0, 0, 26377},
{16777565, 17826139, 16777565, 0, 0, 26377},
{0, 0, 0, 0, 0, 3840},
{0, 0, 0, 0, 0, 5888},
{16777568, 17826142, 16777568, 0, 0, 26377},
{16777571, 17826145, 16777571, 0, 0, 26377},
{16777574, 17826148, 16777574, 0, 0, 26377},
{16777577, 17826151, 16777577, 0, 0, 26377},
{16777580, 17826154, 16777580, 0, 0, 26377},
{16777583, 17826157, 16777583, 0, 0, 26377},
{16777586, 17826160, 16777586, 0, 0, 26377},
{16777589, 17826163, 16777589, 0, 0, 26377},
{16777592, 17826166, 16777592, 0, 0, 26377},
{0, -3008, 0, 0, 0, 10113},
{35332, 0, 35332, 0, 0, 9993},
{3814, 0, 3814, 0, 0, 9993},
{35384, 0, 35384, 0, 0, 9993},
{33554812, 18874745, 33554812, 0, 0, 26377},
{33554817, 18874750, 33554817, 0, 0, 26377},
{33554822, 18874755, 33554822, 0, 0, 26377},
{33554827, 18874760, 33554827, 0, 0, 26377},
{33554832, 18874765, 33554832, 0, 0, 26377},
{16777620, 17826194, 16777620, 0, 0, 26377},
{16777624, 18874773, 16777624, 0, 0, 26497},
{8, 0, 8, 0, 0, 9993},
{0, -8, 0, 0, 0, 10113},
{33554844, 18874777, 33554844, 0, 0, 26377},
{50332066, 19923358, 50332066, 0, 0, 26377},
{50332073, 19923365, 50332073, 0, 0, 26377},
{50332080, 19923372, 50332080, 0, 0, 26377},
{74, 0, 74, 0, 0, 9993},
{86, 0, 86, 0, 0, 9993},
{100, 0, 100, 0, 0, 9993},
{128, 0, 128, 0, 0, 9993},
{112, 0, 112, 0, 0, 9993},
{126, 0, 126, 0, 0, 9993},
{33554870, 18874803, 16777656, 0, 0, 26377},
{33554876, 18874809, 16777662, 0, 0, 26377},
{33554882, 18874815, 16777668, 0, 0, 26377},
{33554888, 18874821, 16777674, 0, 0, 26377},
{33554894, 18874827, 16777680, 0, 0, 26377},
{33554900, 18874833, 16777686, 0, 0, 26377},
{33554906, 18874839, 16777692, 0, 0, 26377},
{33554912, 18874845, 16777698, 0, 0, 26377},
{33554918, 18874851, 16777704, 0, 0, 26433},
{33554924, 18874857, 16777710, 0, 0, 26433},
{33554930, 18874863, 16777716, 0, 0, 26433},
{33554936, 18874869, 16777722, 0, 0, 26433},
{33554942, 18874875, 16777728, 0, 0, 26433},
{33554948, 18874881, 16777734, 0, 0, 26433},
{33554954, 18874887, 16777740, 0, 0, 26433},
{33554960, 18874893, 16777746, 0, 0, 26433},
{33554966, 18874899, 16777752, 0, 0, 26377},
{33554972, 18874905, 16777758, 0, 0, 26377},
{33554978, 18874911, 16777764, 0, 0, 26377},
{33554984, 18874917, 16777770, 0, 0, 26377},
{33554990, 18874923, 16777776, 0, 0, 26377},
{33554996, 18874929, 16777782, 0, 0, 26377},
{33555002, 18874935, 16777788, 0, 0, 26377},
{33555008, 18874941, 16777794, 0, 0, 26377},
{33555014, 18874947, 16777800, 0, 0, 26433},
{33555020, 18874953, 16777806, 0, 0, 26433},
{33555026, 18874959, 16777812, 0, 0, 26433},
{33555032, 18874965, 16777818, 0, 0, 26433},
{33555038, 18874971, 16777824, 0, 0, 26433},
{33555044, 18874977, 16777830, 0, 0, 26433},
{33555050, 18874983, 16777836, 0, 0, 26433},
{33555056, 18874989, 16777842, 0, 0, 26433},
{33555062, 18874995, 16777848, 0, 0, 26377},
{33555068, 18875001, 16777854, 0, 0, 26377},
{33555074, 18875007, 16777860, 0, 0, 26377},
{33555080, 18875013, 16777866, 0, 0, 26377},
{33555086, 18875019, 16777872, 0, 0, 26377},
{33555092, 18875025, 16777878, 0, 0, 26377},
{33555098, 18875031, 16777884, 0, 0, 26377},
{33555104, 18875037, 16777890, 0, 0, 26377},
{33555110, 18875043, 16777896, 0, 0, 26433},
{33555116, 18875049, 16777902, 0, 0, 26433},
{33555122, 18875055, 16777908, 0, 0, 26433},
{33555128, 18875061, 16777914, 0, 0, 26433},
{33555134, 18875067, 16777920, 0, 0, 26433},
{33555140, 18875073, 16777926, 0, 0, 26433},
{33555146, 18875079, 16777932, 0, 0, 26433},
{33555152, 18875085, 16777938, 0, 0, 26433},
{33555158, 18875091, 33555160, 0, 0, 26377},
{33555165, 18875098, 16777951, 0, 0, 26377},
{33555171, 18875104, 33555173, 0, 0, 26377},
{33555178, 18875111, 33555178, 0, 0, 26377},
{50332400, 19923692, 50332403, 0, 0, 26377},
{0, -74, 0, 0, 0, 10113},
{33555193, 18875126, 16777979, 0, 0, 26433},
{16777982, 17826556, 16777982, 0, 0, 26377},
{33555202, 18875135, 33555204, 0, 0, 26377},
{33555209, 18875142, 16777995, 0, 0, 26377},
{33555215, 18875148, 33555217, 0, 0, 26377},
{33555222, 18875155, 33555222, 0, 0, 26377},
{50332444, 19923736, 50332447, 0, 0, 26377},
{0, -86, 0, 0, 0, 10113},
{33555237, 18875170, 16778023, 0, 0, 26433},
{50332460, 19923752, 50332460, 0, 0, 26377},
{50332467, 19923759, 50332467, 0, 0, 26377},
{33555257, 18875190, 33555257, 0, 0, 26377},
{50332479, 19923771, 50332479, 0, 0, 26377},
{0, -100, 0, 0, 0, 10113},
{50332486, 19923778, 50332486, 0, 0, 26377},
{50332493, 19923785, 50332493, 0, 0, 26377},
{33555283, 18875216, 33555283, 0, 0, 26377},
{33555288, 18875221, 33555288, 0, 0, 26377},
{50332510, 19923802, 50332510, 0, 0, 26377},
{0, -112, 0, 0, 0, 10113},
{33555300, 18875233, 33555302, 0, 0, 26377},
{33555307, 18875240, 16778093, 0, 0, 26377},
{33555313, 18875246, 33555315, 0, 0, 26377},
{33555320, 18875253, 33555320, 0, 0, 26377},
{50332542, 19923834, 50332545, 0, 0, 26377},
{0, -128, 0, 0, 0, 10113},
{0, -126, 0, 0, 0, 10113},
{33555335, 18875268, 16778121, 0, 0, 26433},
{0, 0, 0, 0, 0, 4608},
{0, 0, 0, 0, 0, 3076},
{0, 0, 0, 0, 4, 3076},
{0, 0, 0, 0, 5, 3076},
{0, 0, 0, 0, 6, 3076},
{0, 0, 0, 0, 7, 3076},
{0, 0, 0, 0, 8, 3076},
{0, 0, 0, 0, 9, 3076},
{0, 0, 0, 0, 0, 1792},
{0, -7517, 0, 0, 0, 10113},
{0, -8383, 0, 0, 0, 10113},
{0, -8262, 0, 0, 0, 10113},
{0, 28, 0, 0, 0, 10113},
{-28, 0, -28, 0, 0, 9993},
{0, 16, 0, 0, 0, 12160},
{-16, 0, -16, 0, 0, 12040},
{0, 26, 0, 0, 0, 9344},
{-26, 0, -26, 0, 0, 9224},
{0, -10743, 0, 0, 0, 10113},
{0, -3814, 0, 0, 0, 10113},
{0, -10727, 0, 0, 0, 10113},
{-10795, 0, -10795, 0, 0, 9993},
{-10792, 0, -10792, 0, 0, 9993},
{0, -10780, 0, 0, 0, 10113},
{0, -10749, 0, 0, 0, 10113},
{0, -10783, 0, 0, 0, 10113},
{0, -10782, 0, 0, 0, 10113},
{0, -10815, 0, 0, 0, 10113},
{-7264, 0, -7264, 0, 0, 9993},
{0, 0, 0, 0, 0, 5121},
{0, 0, 0, 0, 0, 3841},
{0, -35332, 0, 0, 0, 10113},
{0, -42280, 0, 0, 0, 10113},
{48, 0, 48, 0, 0, 9993},
{0, -42308, 0, 0, 0, 10113},
{0, -42319, 0, 0, 0, 10113},
{0, -42315, 0, 0, 0, 10113},
{0, -42305, 0, 0, 0, 10113},
{0, -42258, 0, 0, 0, 10113},
{0, -42282, 0, 0, 0, 10113},
{0, -42261, 0, 0, 0, 10113},
{0, 928, 0, 0, 0, 10113},
{0, -48, 0, 0, 0, 10113},
{0, -42307, 0, 0, 0, 10113},
{0, -35384, 0, 0, 0, 10113},
{0, -42343, 0, 0, 0, 10113},
{0, -42561, 0, 0, 0, 10113},
{-928, 0, -928, 0, 0, 9993},
{16778124, 17826698, 16778124, 0, 0, 26377},
{16778127, 17826701, 16778127, 0, 0, 26377},
{16778130, 17826704, 16778130, 0, 0, 26377},
{16778133, 17826707, 16778133, 0, 0, 26377},
{16778136, 17826710, 16778136, 0, 0, 26377},
{16778139, 17826713, 16778139, 0, 0, 26377},
{16778142, 17826716, 16778142, 0, 0, 26377},
{16778145, 17826719, 16778145, 0, 0, 26377},
{16778148, 17826722, 16778148, 0, 0, 26377},
{16778151, 17826725, 16778151, 0, 0, 26377},
{16778154, 17826728, 16778154, 0, 0, 26377},
{16778157, 17826731, 16778157, 0, 0, 26377},
{16778160, 17826734, 16778160, 0, 0, 26377},
{16778163, 17826737, 16778163, 0, 0, 26377},
{16778166, 17826740, 16778166, 0, 0, 26377},
{16778169, 17826743, 16778169, 0, 0, 26377},
{16778172, 17826746, 16778172, 0, 0, 26377},
{16778175, 17826749, 16778175, 0, 0, 26377},
{16778178, 17826752, 16778178, 0, 0, 26377},
{16778181, 17826755, 16778181, 0, 0, 26377},
{16778184, 17826758, 16778184, 0, 0, 26377},
{16778187, 17826761, 16778187, 0, 0, 26377},
{16778190, 17826764, 16778190, 0, 0, 26377},
{16778193, 17826767, 16778193, 0, 0, 26377},
{16778196, 17826770, 16778196, 0, 0, 26377},
{16778199, 17826773, 16778199, 0, 0, 26377},
{16778202, 17826776, 16778202, 0, 0, 26377},
{16778205, 17826779, 16778205, 0, 0, 26377},
{16778208, 17826782, 16778208, 0, 0, 26377},
{16778211, 17826785, 16778211, 0, 0, 26377},
{16778214, 17826788, 16778214, 0, 0, 26377},
{16778217, 17826791, 16778217, 0, 0, 26377},
{16778220, 17826794, 16778220, 0, 0, 26377},
{16778223, 17826797, 16778223, 0, 0, 26377},
{16778226, 17826800, 16778226, 0, 0, 26377},
{16778229, 17826803, 16778229, 0, 0, 26377},
{16778232, 17826806, 16778232, 0, 0, 26377},
{16778235, 17826809, 16778235, 0, 0, 26377},
{16778238, 17826812, 16778238, 0, 0, 26377},
{16778241, 17826815, 16778241, 0, 0, 26377},
{16778244, 17826818, 16778244, 0, 0, 26377},
{16778247, 17826821, 16778247, 0, 0, 26377},
{16778250, 17826824, 16778250, 0, 0, 26377},
{16778253, 17826827, 16778253, 0, 0, 26377},
{16778256, 17826830, 16778256, 0, 0, 26377},
{16778259, 17826833, 16778259, 0, 0, 26377},
{16778262, 17826836, 16778262, 0, 0, 26377},
{16778265, 17826839, 16778265, 0, 0, 26377},
{16778268, 17826842, 16778268, 0, 0, 26377},
{16778271, 17826845, 16778271, 0, 0, 26377},
{16778274, 17826848, 16778274, 0, 0, 26377},
{16778277, 17826851, 16778277, 0, 0, 26377},
{16778280, 17826854, 16778280, 0, 0, 26377},
{16778283, 17826857, 16778283, 0, 0, 26377},
{16778286, 17826860, 16778286, 0, 0, 26377},
{16778289, 17826863, 16778289, 0, 0, 26377},
{16778292, 17826866, 16778292, 0, 0, 26377},
{16778295, 17826869, 16778295, 0, 0, 26377},
{16778298, 17826872, 16778298, 0, 0, 26377},
{16778301, 17826875, 16778301, 0, 0, 26377},
{16778304, 17826878, 16778304, 0, 0, 26377},
{16778307, 17826881, 16778307, 0, 0, 26377},
{16778310, 17826884, 16778310, 0, 0, 26377},
{16778313, 17826887, 16778313, 0, 0, 26377},
{16778316, 17826890, 16778316, 0, 0, 26377},
{16778319, 17826893, 16778319, 0, 0, 26377},
{16778322, 17826896, 16778322, 0, 0, 26377},
{16778325, 17826899, 16778325, 0, 0, 26377},
{16778328, 17826902, 16778328, 0, 0, 26377},
{16778331, 17826905, 16778331, 0, 0, 26377},
{16778334, 17826908, 16778334, 0, 0, 26377},
{16778337, 17826911, 16778337, 0, 0, 26377},
{16778340, 17826914, 16778340, 0, 0, 26377},
{16778343, 17826917, 16778343, 0, 0, 26377},
{16778346, 17826920, 16778346, 0, 0, 26377},
{16778349, 17826923, 16778349, 0, 0, 26377},
{16778352, 17826926, 16778352, 0, 0, 26377},
{16778355, 17826929, 16778355, 0, 0, 26377},
{16778358, 17826932, 16778358, 0, 0, 26377},
{16778361, 17826935, 16778361, 0, 0, 26377},
{33555581, 18875514, 33555583, 0, 0, 26377},
{33555588, 18875521, 33555590, 0, 0, 26377},
{33555595, 18875528, 33555597, 0, 0, 26377},
{50332819, 19924111, 50332822, 0, 0, 26377},
{50332829, 19924121, 50332832, 0, 0, 26377},
{33555622, 18875555, 33555624, 0, 0, 26377},
{33555629, 18875562, 33555631, 0, 0, 26377},
{33555636, 18875569, 33555638, 0, 0, 26377},
{33555643, 18875576, 33555645, 0, 0, 26377},
{33555650, 18875583, 33555652, 0, 0, 26377},
{33555657, 18875590, 33555659, 0, 0, 26377},
{33555664, 18875597, 33555666, 0, 0, 26377},
{0, 0, 0, 0, 0, 1025},
{0, 0, 0, 0, 0, 5633},
{0, 40, 0, 0, 0, 10113},
{-40, 0, -40, 0, 0, 9993},
{0, 39, 0, 0, 0, 10113},
{-39, 0, -39, 0, 0, 9993},
{0, 27, 0, 0, 0, 10113},
{-27, 0, -27, 0, 0, 9993},
{0, 34, 0, 0, 0, 10113},
{-34, 0, -34, 0, 0, 9993},
{0, 0, 0, 0, 0, 9344},
};
/* extended case mappings */
const Py_UCS4 _PyUnicode_ExtendedCase[] = {
181,
956,
924,
223,
115,
115,
83,
83,
83,
115,
105,
775,
304,
329,
700,
110,
700,
78,
383,
115,
83,
496,
106,
780,
74,
780,
837,
953,
921,
912,
953,
776,
769,
921,
776,
769,
944,
965,
776,
769,
933,
776,
769,
962,
963,
931,
976,
946,
914,
977,
952,
920,
981,
966,
934,
982,
960,
928,
1008,
954,
922,
1009,
961,
929,
1013,
949,
917,
1415,
1381,
1410,
1333,
1362,
1333,
1410,
43888,
5024,
5024,
43889,
5025,
5025,
43890,
5026,
5026,
43891,
5027,
5027,
43892,
5028,
5028,
43893,
5029,
5029,
43894,
5030,
5030,
43895,
5031,
5031,
43896,
5032,
5032,
43897,
5033,
5033,
43898,
5034,
5034,
43899,
5035,
5035,
43900,
5036,
5036,
43901,
5037,
5037,
43902,
5038,
5038,
43903,
5039,
5039,
43904,
5040,
5040,
43905,
5041,
5041,
43906,
5042,
5042,
43907,
5043,
5043,
43908,
5044,
5044,
43909,
5045,
5045,
43910,
5046,
5046,
43911,
5047,
5047,
43912,
5048,
5048,
43913,
5049,
5049,
43914,
5050,
5050,
43915,
5051,
5051,
43916,
5052,
5052,
43917,
5053,
5053,
43918,
5054,
5054,
43919,
5055,
5055,
43920,
5056,
5056,
43921,
5057,
5057,
43922,
5058,
5058,
43923,
5059,
5059,
43924,
5060,
5060,
43925,
5061,
5061,
43926,
5062,
5062,
43927,
5063,
5063,
43928,
5064,
5064,
43929,
5065,
5065,
43930,
5066,
5066,
43931,
5067,
5067,
43932,
5068,
5068,
43933,
5069,
5069,
43934,
5070,
5070,
43935,
5071,
5071,
43936,
5072,
5072,
43937,
5073,
5073,
43938,
5074,
5074,
43939,
5075,
5075,
43940,
5076,
5076,
43941,
5077,
5077,
43942,
5078,
5078,
43943,
5079,
5079,
43944,
5080,
5080,
43945,
5081,
5081,
43946,
5082,
5082,
43947,
5083,
5083,
43948,
5084,
5084,
43949,
5085,
5085,
43950,
5086,
5086,
43951,
5087,
5087,
43952,
5088,
5088,
43953,
5089,
5089,
43954,
5090,
5090,
43955,
5091,
5091,
43956,
5092,
5092,
43957,
5093,
5093,
43958,
5094,
5094,
43959,
5095,
5095,
43960,
5096,
5096,
43961,
5097,
5097,
43962,
5098,
5098,
43963,
5099,
5099,
43964,
5100,
5100,
43965,
5101,
5101,
43966,
5102,
5102,
43967,
5103,
5103,
5112,
5104,
5104,
5113,
5105,
5105,
5114,
5106,
5106,
5115,
5107,
5107,
5116,
5108,
5108,
5117,
5109,
5109,
5112,
5104,
5104,
5113,
5105,
5105,
5114,
5106,
5106,
5115,
5107,
5107,
5116,
5108,
5108,
5117,
5109,
5109,
7296,
1074,
1042,
7297,
1076,
1044,
7298,
1086,
1054,
7299,
1089,
1057,
7300,
1090,
1058,
7301,
1090,
1058,
7302,
1098,
1066,
7303,
1123,
1122,
7304,
42571,
42570,
7830,
104,
817,
72,
817,
7831,
116,
776,
84,
776,
7832,
119,
778,
87,
778,
7833,
121,
778,
89,
778,
7834,
97,
702,
65,
702,
7835,
7777,
7776,
223,
115,
115,
7838,
8016,
965,
787,
933,
787,
8018,
965,
787,
768,
933,
787,
768,
8020,
965,
787,
769,
933,
787,
769,
8022,
965,
787,
834,
933,
787,
834,
8064,
7936,
953,
7944,
921,
8072,
8065,
7937,
953,
7945,
921,
8073,
8066,
7938,
953,
7946,
921,
8074,
8067,
7939,
953,
7947,
921,
8075,
8068,
7940,
953,
7948,
921,
8076,
8069,
7941,
953,
7949,
921,
8077,
8070,
7942,
953,
7950,
921,
8078,
8071,
7943,
953,
7951,
921,
8079,
8064,
7936,
953,
7944,
921,
8072,
8065,
7937,
953,
7945,
921,
8073,
8066,
7938,
953,
7946,
921,
8074,
8067,
7939,
953,
7947,
921,
8075,
8068,
7940,
953,
7948,
921,
8076,
8069,
7941,
953,
7949,
921,
8077,
8070,
7942,
953,
7950,
921,
8078,
8071,
7943,
953,
7951,
921,
8079,
8080,
7968,
953,
7976,
921,
8088,
8081,
7969,
953,
7977,
921,
8089,
8082,
7970,
953,
7978,
921,
8090,
8083,
7971,
953,
7979,
921,
8091,
8084,
7972,
953,
7980,
921,
8092,
8085,
7973,
953,
7981,
921,
8093,
8086,
7974,
953,
7982,
921,
8094,
8087,
7975,
953,
7983,
921,
8095,
8080,
7968,
953,
7976,
921,
8088,
8081,
7969,
953,
7977,
921,
8089,
8082,
7970,
953,
7978,
921,
8090,
8083,
7971,
953,
7979,
921,
8091,
8084,
7972,
953,
7980,
921,
8092,
8085,
7973,
953,
7981,
921,
8093,
8086,
7974,
953,
7982,
921,
8094,
8087,
7975,
953,
7983,
921,
8095,
8096,
8032,
953,
8040,
921,
8104,
8097,
8033,
953,
8041,
921,
8105,
8098,
8034,
953,
8042,
921,
8106,
8099,
8035,
953,
8043,
921,
8107,
8100,
8036,
953,
8044,
921,
8108,
8101,
8037,
953,
8045,
921,
8109,
8102,
8038,
953,
8046,
921,
8110,
8103,
8039,
953,
8047,
921,
8111,
8096,
8032,
953,
8040,
921,
8104,
8097,
8033,
953,
8041,
921,
8105,
8098,
8034,
953,
8042,
921,
8106,
8099,
8035,
953,
8043,
921,
8107,
8100,
8036,
953,
8044,
921,
8108,
8101,
8037,
953,
8045,
921,
8109,
8102,
8038,
953,
8046,
921,
8110,
8103,
8039,
953,
8047,
921,
8111,
8114,
8048,
953,
8122,
921,
8122,
837,
8115,
945,
953,
913,
921,
8124,
8116,
940,
953,
902,
921,
902,
837,
8118,
945,
834,
913,
834,
8119,
945,
834,
953,
913,
834,
921,
913,
834,
837,
8115,
945,
953,
913,
921,
8124,
8126,
953,
921,
8130,
8052,
953,
8138,
921,
8138,
837,
8131,
951,
953,
919,
921,
8140,
8132,
942,
953,
905,
921,
905,
837,
8134,
951,
834,
919,
834,
8135,
951,
834,
953,
919,
834,
921,
919,
834,
837,
8131,
951,
953,
919,
921,
8140,
8146,
953,
776,
768,
921,
776,
768,
8147,
953,
776,
769,
921,
776,
769,
8150,
953,
834,
921,
834,
8151,
953,
776,
834,
921,
776,
834,
8162,
965,
776,
768,
933,
776,
768,
8163,
965,
776,
769,
933,
776,
769,
8164,
961,
787,
929,
787,
8166,
965,
834,
933,
834,
8167,
965,
776,
834,
933,
776,
834,
8178,
8060,
953,
8186,
921,
8186,
837,
8179,
969,
953,
937,
921,
8188,
8180,
974,
953,
911,
921,
911,
837,
8182,
969,
834,
937,
834,
8183,
969,
834,
953,
937,
834,
921,
937,
834,
837,
8179,
969,
953,
937,
921,
8188,
43888,
5024,
5024,
43889,
5025,
5025,
43890,
5026,
5026,
43891,
5027,
5027,
43892,
5028,
5028,
43893,
5029,
5029,
43894,
5030,
5030,
43895,
5031,
5031,
43896,
5032,
5032,
43897,
5033,
5033,
43898,
5034,
5034,
43899,
5035,
5035,
43900,
5036,
5036,
43901,
5037,
5037,
43902,
5038,
5038,
43903,
5039,
5039,
43904,
5040,
5040,
43905,
5041,
5041,
43906,
5042,
5042,
43907,
5043,
5043,
43908,
5044,
5044,
43909,
5045,
5045,
43910,
5046,
5046,
43911,
5047,
5047,
43912,
5048,
5048,
43913,
5049,
5049,
43914,
5050,
5050,
43915,
5051,
5051,
43916,
5052,
5052,
43917,
5053,
5053,
43918,
5054,
5054,
43919,
5055,
5055,
43920,
5056,
5056,
43921,
5057,
5057,
43922,
5058,
5058,
43923,
5059,
5059,
43924,
5060,
5060,
43925,
5061,
5061,
43926,
5062,
5062,
43927,
5063,
5063,
43928,
5064,
5064,
43929,
5065,
5065,
43930,
5066,
5066,
43931,
5067,
5067,
43932,
5068,
5068,
43933,
5069,
5069,
43934,
5070,
5070,
43935,
5071,
5071,
43936,
5072,
5072,
43937,
5073,
5073,
43938,
5074,
5074,
43939,
5075,
5075,
43940,
5076,
5076,
43941,
5077,
5077,
43942,
5078,
5078,
43943,
5079,
5079,
43944,
5080,
5080,
43945,
5081,
5081,
43946,
5082,
5082,
43947,
5083,
5083,
43948,
5084,
5084,
43949,
5085,
5085,
43950,
5086,
5086,
43951,
5087,
5087,
43952,
5088,
5088,
43953,
5089,
5089,
43954,
5090,
5090,
43955,
5091,
5091,
43956,
5092,
5092,
43957,
5093,
5093,
43958,
5094,
5094,
43959,
5095,
5095,
43960,
5096,
5096,
43961,
5097,
5097,
43962,
5098,
5098,
43963,
5099,
5099,
43964,
5100,
5100,
43965,
5101,
5101,
43966,
5102,
5102,
43967,
5103,
5103,
64256,
102,
102,
70,
70,
70,
102,
64257,
102,
105,
70,
73,
70,
105,
64258,
102,
108,
70,
76,
70,
108,
64259,
102,
102,
105,
70,
70,
73,
70,
102,
105,
64260,
102,
102,
108,
70,
70,
76,
70,
102,
108,
64261,
115,
116,
83,
84,
83,
116,
64262,
115,
116,
83,
84,
83,
116,
64275,
1396,
1398,
1348,
1350,
1348,
1398,
64276,
1396,
1381,
1348,
1333,
1348,
1381,
64277,
1396,
1387,
1348,
1339,
1348,
1387,
64278,
1406,
1398,
1358,
1350,
1358,
1398,
64279,
1396,
1389,
1348,
1341,
1348,
1389,
};
/* type indexes */
#define SHIFT 7
static const unsigned short index1[] = {
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 34, 35, 36, 37,
38, 39, 34, 34, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52,
53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 64, 64, 65, 66, 64,
64, 64, 64, 67, 68, 64, 64, 64, 64, 64, 64, 69, 64, 70, 71, 72, 73, 74,
75, 64, 76, 77, 78, 79, 80, 81, 82, 64, 64, 83, 84, 34, 34, 34, 34, 34,
34, 85, 34, 34, 34, 34, 34, 86, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 87, 88, 89, 90, 91, 92, 34, 93, 34, 34,
34, 94, 95, 34, 34, 34, 34, 34, 96, 34, 34, 34, 97, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 98, 99, 100, 34, 34, 34, 34, 34, 34, 101, 102, 34,
34, 34, 34, 34, 34, 34, 34, 103, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
104, 34, 34, 34, 92, 34, 34, 34, 34, 34, 34, 34, 34, 105, 34, 34, 34, 34,
106, 107, 34, 34, 34, 34, 34, 108, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 92, 34, 34, 34, 34, 34, 34, 109, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 110, 111, 34, 34, 34, 34, 34, 34,
34, 34, 34, 112, 34, 34, 34, 34, 113, 34, 34, 114, 115, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 116, 34, 34, 34,
34, 34, 34, 34, 34, 117, 34, 34, 118, 119, 120, 121, 122, 123, 124, 125,
126, 127, 128, 129, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 130, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 132, 133,
134, 135, 136, 137, 138, 34, 139, 140, 141, 142, 143, 144, 145, 146, 147,
148, 131, 149, 150, 151, 152, 153, 154, 155, 34, 34, 156, 157, 158, 159,
160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173,
174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 131, 184, 185, 186,
187, 131, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199,
131, 200, 201, 202, 203, 34, 34, 34, 204, 34, 205, 206, 207, 34, 208,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 209, 34, 34, 34, 34, 34, 34, 34, 34, 210,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 146, 34, 34, 34, 34, 211,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 212, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 34, 34, 34, 34,
213, 214, 215, 216, 131, 131, 217, 131, 218, 219, 220, 221, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
222, 223, 224, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
225, 34, 34, 226, 34, 34, 227, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 228, 229, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 64,
230, 64, 64, 64, 231, 232, 233, 64, 234, 235, 236, 237, 238, 239, 131,
240, 241, 242, 243, 244, 245, 246, 247, 64, 64, 64, 64, 248, 249, 131,
131, 131, 131, 131, 131, 131, 131, 250, 131, 251, 252, 253, 131, 131,
254, 131, 131, 131, 255, 131, 256, 131, 257, 131, 258, 34, 259, 260, 131,
131, 131, 131, 131, 261, 262, 263, 131, 264, 265, 131, 131, 266, 267,
268, 269, 270, 131, 64, 271, 64, 64, 64, 64, 64, 272, 64, 273, 274, 275,
64, 64, 276, 277, 64, 278, 131, 131, 131, 131, 131, 131, 131, 131, 279,
280, 281, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 85,
282, 34, 283, 284, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 285,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 286, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 287, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 108, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 288, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 289, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 290,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 291, 34, 34, 34, 34, 292, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 34, 285, 34,
34, 293, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
294, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 295, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 131,
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29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 0, 137, 137, 137, 137, 137, 137,
137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137,
137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137,
137, 137, 137, 137, 0, 0, 104, 4, 4, 4, 4, 4, 5, 19, 138, 138, 138, 138,
138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138,
138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138,
138, 138, 138, 138, 138, 138, 139, 19, 4, 4, 0, 0, 4, 4, 4, 0, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 4, 24, 4, 24, 24, 4, 24, 24, 4, 24, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 55, 55,
55, 55, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 20, 20, 20, 20, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 4,
20, 4, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 4, 4, 4, 4, 55, 55, 24, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 4, 55, 24, 24, 24, 24, 24, 24, 24, 20, 4, 24, 24, 24, 24, 24, 24,
104, 104, 24, 24, 4, 24, 24, 24, 24, 55, 55, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 55, 55, 55, 4, 4, 55, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
0, 20, 55, 24, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24,
24, 24, 24, 24, 24, 24, 24, 24, 104, 104, 4, 4, 4, 4, 104, 0, 0, 24, 4,
4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 24, 24, 24, 24, 104, 24, 24, 24, 24, 24, 24, 24, 24,
24, 104, 24, 24, 24, 104, 24, 24, 24, 24, 24, 0, 0, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 0, 0,
4, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 5, 55, 55, 55, 55, 55, 55, 55, 20, 20, 0, 0, 0, 0, 0, 24,
24, 24, 24, 24, 24, 24, 24, 24, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 20, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 17,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
24, 17, 24, 55, 17, 17, 17, 24, 24, 24, 24, 24, 24, 24, 24, 17, 17, 17,
17, 24, 17, 17, 55, 24, 24, 24, 24, 24, 24, 24, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 24, 24, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 104,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 17, 17,
0, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 0, 0, 0, 55, 55, 55, 55, 0, 0, 24,
55, 17, 17, 17, 24, 24, 24, 24, 0, 0, 17, 17, 0, 0, 17, 17, 24, 55, 0, 0,
0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 55, 55, 0, 55, 55, 55, 24, 24, 0, 0, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 55, 55, 4, 4, 26, 26, 26, 26, 26, 26, 4,
4, 55, 4, 24, 0, 0, 24, 24, 17, 0, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
55, 55, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0,
55, 55, 0, 55, 55, 0, 0, 24, 0, 17, 17, 17, 24, 24, 0, 0, 0, 0, 24, 24,
0, 0, 24, 24, 24, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 0,
55, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 24, 24, 55,
55, 55, 24, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 17, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55,
55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55, 55, 55, 0, 0, 24, 55, 17, 17,
17, 24, 24, 24, 24, 24, 0, 24, 24, 17, 0, 17, 17, 24, 0, 0, 55, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 24, 24, 0, 0, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 4, 4, 0, 0, 0, 0, 0, 0, 0, 55, 24, 24, 24, 24, 24,
24, 0, 24, 17, 17, 0, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 0, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55,
55, 55, 0, 0, 24, 55, 17, 24, 17, 24, 24, 24, 24, 0, 0, 17, 17, 0, 0, 17,
17, 24, 0, 0, 0, 0, 0, 0, 0, 24, 24, 17, 0, 0, 0, 0, 55, 55, 0, 55, 55,
55, 24, 24, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 55, 26, 26, 26,
26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 55, 0, 55, 55, 55, 55, 55,
55, 0, 0, 0, 55, 55, 55, 0, 55, 55, 55, 55, 0, 0, 0, 55, 55, 0, 55, 0,
55, 55, 0, 0, 0, 55, 55, 0, 0, 0, 55, 55, 55, 0, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 17, 17, 24, 17, 17, 0, 0, 0,
17, 17, 17, 0, 17, 17, 17, 24, 0, 0, 55, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 26,
26, 26, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 24, 17, 17, 17, 24, 55,
55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 24, 55,
24, 24, 24, 17, 17, 17, 17, 0, 24, 24, 24, 0, 24, 24, 24, 24, 0, 0, 0, 0,
0, 0, 0, 24, 24, 0, 55, 55, 55, 0, 55, 55, 0, 0, 55, 55, 24, 24, 0, 0, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 4, 26, 26, 26, 26,
26, 26, 26, 4, 55, 24, 17, 17, 4, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55,
55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 0, 55, 55, 55, 55, 55, 0, 0, 24, 55, 17, 24, 17, 17, 17, 17, 17, 0,
24, 17, 17, 0, 17, 17, 24, 24, 0, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0,
0, 55, 55, 55, 0, 55, 55, 24, 24, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 0, 55, 55, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 17, 17,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
24, 24, 55, 17, 17, 17, 24, 24, 24, 24, 0, 17, 17, 17, 0, 17, 17, 17, 24,
55, 4, 0, 0, 0, 0, 55, 55, 55, 17, 26, 26, 26, 26, 26, 26, 26, 55, 55,
55, 24, 24, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 26, 26, 26, 26, 26,
26, 26, 26, 26, 4, 55, 55, 55, 55, 55, 55, 0, 24, 17, 17, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 0, 0,
55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 24, 0, 0, 0, 0, 17, 17, 17, 24, 24,
24, 0, 24, 0, 17, 17, 17, 17, 17, 17, 17, 17, 0, 0, 0, 0, 0, 0, 6, 7, 8,
9, 10, 11, 12, 13, 14, 15, 0, 0, 17, 17, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 55, 140, 24, 24,
24, 24, 24, 24, 24, 0, 0, 0, 0, 4, 55, 55, 55, 55, 55, 55, 104, 24, 24,
24, 24, 24, 24, 24, 24, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 0, 55, 0, 55, 55, 55, 55, 55,
0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 24, 55, 140, 24, 24, 24, 24, 24, 24, 24, 24, 24, 55, 0, 0, 55, 55,
55, 55, 55, 0, 104, 0, 24, 24, 24, 24, 24, 24, 24, 0, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 0, 0, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 24, 4, 4,
4, 4, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 4, 24, 4, 24, 4, 24, 4, 4, 4, 4, 17, 17, 55, 55, 55, 55,
55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 0, 0, 0, 0, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 17, 24, 24, 24, 24, 24, 4, 24, 24, 55, 55, 55, 55, 55,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 0, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 0, 4, 4, 4, 4, 4, 4, 4,
4, 24, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 24,
24, 24, 24, 17, 24, 24, 24, 24, 24, 24, 17, 24, 24, 17, 17, 24, 24, 55,
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 4, 4, 4, 4, 4, 55, 55, 55, 55, 55,
55, 17, 17, 24, 24, 55, 55, 55, 55, 24, 24, 24, 55, 17, 17, 17, 55, 55,
17, 17, 17, 17, 17, 17, 17, 55, 55, 55, 24, 24, 24, 24, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 17, 17, 24, 24, 17, 17, 17, 17,
17, 17, 24, 55, 17, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 17, 17, 24,
4, 4, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141,
141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141,
141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 0, 141, 0, 0, 0,
0, 0, 141, 0, 0, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142,
142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142,
142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142,
142, 142, 142, 142, 4, 103, 142, 142, 142, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55,
55, 0, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 0, 55, 55, 55, 55, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55,
55, 55, 0, 55, 0, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 24, 24, 24, 4, 4,
4, 4, 4, 4, 4, 4, 4, 143, 144, 145, 146, 147, 148, 149, 150, 151, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0,
0, 0, 0, 0, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163,
164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177,
178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205,
206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219,
220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233,
234, 235, 236, 237, 0, 0, 238, 239, 240, 241, 242, 243, 0, 0, 4, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
1, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 0, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 4,
244, 244, 244, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24,
24, 24, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 17, 4, 4, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 0, 24, 24, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 24, 24, 17, 24, 24, 24, 24, 24, 24, 24, 17, 17, 17,
17, 17, 17, 17, 17, 24, 17, 17, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 4, 4, 4, 104, 4, 4, 4, 4, 55, 24, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 0, 0, 0, 0, 0, 0, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0,
0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 24, 24, 20, 24, 6, 7, 8,
9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 245, 245, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 24, 55, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 0, 24, 24, 24, 17, 17, 17, 17, 24, 24,
17, 17, 17, 0, 0, 0, 0, 17, 17, 24, 17, 17, 17, 17, 17, 17, 24, 24, 24,
0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12,
13, 14, 15, 143, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
24, 24, 17, 17, 24, 0, 0, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 17, 24, 17, 24, 24, 24, 24, 24, 24, 24, 0,
24, 17, 24, 17, 17, 24, 24, 24, 24, 24, 24, 24, 24, 17, 17, 17, 17, 17,
17, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 0, 0, 24, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0,
0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 104, 4, 4, 4, 4, 4, 4, 0, 0, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 5, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 0, 0, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
24, 24, 24, 24, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 17,
24, 24, 24, 24, 24, 17, 24, 17, 17, 17, 17, 17, 24, 17, 17, 55, 55, 55,
55, 55, 55, 55, 55, 0, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 24, 24, 24, 24, 24, 24, 24,
24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 24, 17, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 17, 24, 24, 24, 24, 17, 17, 24, 24, 17, 24,
24, 24, 55, 55, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 24, 17, 24, 24, 17, 17, 17, 24, 17, 24, 24, 24, 17, 17, 0, 0,
0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 17, 17, 17, 17, 17, 24, 24, 24,
24, 24, 24, 24, 24, 17, 17, 24, 24, 0, 0, 0, 4, 4, 4, 4, 4, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 0, 0, 0, 55, 55, 55, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 104, 104,
104, 104, 104, 4, 4, 246, 247, 248, 249, 250, 251, 252, 253, 254, 29, 30,
0, 0, 0, 0, 0, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
255, 255, 255, 255, 0, 0, 255, 255, 255, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0,
0, 0, 0, 0, 0, 24, 24, 24, 4, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 17, 24, 24, 24, 24, 24, 24, 24, 55, 55, 55, 55, 24, 55, 55, 55,
55, 55, 55, 24, 55, 55, 17, 24, 24, 55, 0, 0, 0, 0, 0, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 103, 256, 19, 19, 19, 257, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 258, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 259, 260,
261, 262, 263, 264, 19, 19, 265, 19, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 266, 266,
266, 266, 266, 266, 266, 266, 267, 267, 267, 267, 267, 267, 267, 267,
266, 266, 266, 266, 266, 266, 0, 0, 267, 267, 267, 267, 267, 267, 0, 0,
266, 266, 266, 266, 266, 266, 266, 266, 267, 267, 267, 267, 267, 267,
267, 267, 266, 266, 266, 266, 266, 266, 266, 266, 267, 267, 267, 267,
267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 0, 0, 267, 267, 267,
267, 267, 267, 0, 0, 268, 266, 269, 266, 270, 266, 271, 266, 0, 267, 0,
267, 0, 267, 0, 267, 266, 266, 266, 266, 266, 266, 266, 266, 267, 267,
267, 267, 267, 267, 267, 267, 272, 272, 273, 273, 273, 273, 274, 274,
275, 275, 276, 276, 277, 277, 0, 0, 278, 279, 280, 281, 282, 283, 284,
285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298,
299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312,
313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 266,
266, 326, 327, 328, 0, 329, 330, 267, 267, 331, 331, 332, 5, 333, 5, 5,
5, 334, 335, 336, 0, 337, 338, 339, 339, 339, 339, 340, 5, 5, 5, 266,
266, 341, 342, 0, 0, 343, 344, 267, 267, 345, 345, 0, 5, 5, 5, 266, 266,
346, 347, 348, 128, 349, 350, 267, 267, 351, 351, 132, 5, 5, 5, 0, 0,
352, 353, 354, 0, 355, 356, 357, 357, 358, 358, 359, 5, 5, 0, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 20, 360, 360, 20, 20, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 2, 2, 20, 20, 20, 20, 20, 1, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 17, 17, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 17, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 20,
20, 20, 20, 20, 0, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 361, 103, 0,
0, 362, 363, 364, 365, 366, 367, 4, 4, 4, 4, 4, 103, 361, 25, 21, 22,
362, 363, 364, 365, 366, 367, 4, 4, 4, 4, 4, 0, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 5, 5, 5, 5, 24, 5, 5, 5, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
4, 4, 122, 4, 4, 4, 4, 122, 4, 4, 19, 122, 122, 122, 19, 19, 122, 122,
122, 19, 4, 122, 4, 4, 368, 122, 122, 122, 122, 122, 4, 4, 4, 4, 4, 4,
122, 4, 369, 4, 122, 4, 370, 371, 122, 122, 368, 19, 122, 122, 372, 122,
19, 55, 55, 55, 55, 19, 4, 4, 19, 19, 122, 122, 4, 4, 4, 4, 4, 122, 19,
19, 19, 19, 4, 4, 4, 4, 373, 4, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 374, 374, 374, 374, 374, 374, 374, 374, 374, 374,
374, 374, 374, 374, 374, 374, 375, 375, 375, 375, 375, 375, 375, 375,
375, 375, 375, 375, 375, 375, 375, 375, 244, 244, 244, 29, 30, 244, 244,
244, 244, 26, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 21, 22, 362, 363, 364, 365, 366, 367,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 25, 21, 22, 362, 363, 364,
365, 366, 367, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 25, 21, 22,
362, 363, 364, 365, 366, 367, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376,
376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 376, 377,
377, 377, 377, 377, 377, 377, 377, 377, 377, 377, 377, 377, 377, 377,
377, 377, 377, 377, 377, 377, 377, 377, 377, 377, 377, 361, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 25, 21, 22, 362, 363, 364, 365, 366, 367, 26,
361, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 25,
21, 22, 362, 363, 364, 365, 366, 367, 26, 25, 21, 22, 362, 363, 364, 365,
366, 367, 26, 25, 21, 22, 362, 363, 364, 365, 366, 367, 26, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 137, 137, 137, 137, 137,
137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137,
137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137,
137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137,
137, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138,
138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138,
138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138,
138, 138, 138, 138, 138, 138, 138, 29, 30, 378, 379, 380, 381, 382, 29,
30, 29, 30, 29, 30, 383, 384, 385, 386, 19, 29, 30, 19, 29, 30, 19, 19,
19, 19, 19, 103, 103, 387, 387, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
19, 4, 4, 4, 4, 4, 4, 29, 30, 29, 30, 24, 24, 24, 29, 30, 0, 0, 0, 0, 0,
4, 4, 4, 4, 26, 4, 4, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388,
388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388,
388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 388, 0,
388, 0, 0, 0, 0, 0, 388, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 104, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0,
0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55,
55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55,
55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55,
55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 389, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 104, 55, 244, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 244, 244, 244,
244, 244, 244, 244, 244, 244, 24, 24, 24, 24, 17, 17, 4, 104, 104, 104,
104, 104, 4, 4, 244, 244, 244, 104, 55, 4, 4, 4, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 24, 24, 5, 5, 104, 104, 55, 4,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
17, 104, 104, 104, 55, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 4, 4, 26, 26, 26, 26, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 26, 26, 26, 26, 26, 26,
26, 26, 4, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 55, 55,
55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 390, 55, 55, 390, 55, 55, 55, 390,
55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 390, 55, 390,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 390, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
390, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
390, 55, 390, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390,
55, 390, 390, 390, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 390, 390, 390, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 390, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
390, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 390, 390,
55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
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55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390,
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55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
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55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55,
55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 390,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 104, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 104, 104,
104, 104, 104, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104,
4, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 55,
24, 5, 5, 5, 4, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 4, 104, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 29, 30, 29, 30, 29, 30, 103, 103, 24, 24, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 24, 24, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 104,
104, 104, 104, 104, 104, 104, 104, 104, 5, 5, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 19, 19, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 103,
19, 19, 19, 19, 19, 19, 19, 19, 29, 30, 29, 30, 391, 29, 30, 29, 30, 29,
30, 29, 30, 29, 30, 104, 5, 5, 29, 30, 392, 19, 55, 29, 30, 29, 30, 393,
19, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29,
30, 29, 30, 394, 395, 396, 397, 394, 19, 398, 399, 400, 401, 29, 30, 29,
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 402, 403, 404, 29,
30, 29, 30, 405, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30,
29, 30, 406, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
103, 103, 103, 103, 29, 30, 55, 103, 103, 19, 55, 55, 55, 55, 55, 55, 55,
24, 55, 55, 55, 24, 55, 55, 55, 55, 24, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 24,
24, 17, 4, 4, 4, 4, 24, 0, 0, 0, 26, 26, 26, 26, 26, 26, 4, 4, 4, 4, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 17, 17, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 17, 17, 17, 17, 17, 17,
17, 17, 17, 17, 17, 17, 17, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 6, 7,
8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 55, 55, 55, 55, 55, 55,
4, 4, 4, 55, 4, 55, 55, 24, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 4, 4, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 17, 17, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
0, 0, 0, 24, 24, 24, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24,
17, 17, 24, 24, 24, 24, 17, 17, 24, 24, 17, 17, 17, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 0, 104, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0,
4, 4, 55, 55, 55, 55, 55, 24, 104, 55, 55, 55, 55, 55, 55, 55, 55, 55, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 24, 24, 24, 24, 24, 24, 17, 17, 24, 24, 17, 17, 24, 24, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 24, 55, 55, 55, 55, 55, 55, 55, 55, 24, 17, 0,
0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 4, 4, 4, 4, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 55, 55, 55, 55, 55,
55, 4, 4, 4, 55, 17, 24, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 24, 55, 24, 24, 24, 55, 55, 24, 24, 55, 55, 55, 55, 55, 24,
24, 55, 24, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 104, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 17, 24, 24, 17, 17, 4, 4, 55, 104, 104, 17, 24, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55, 0, 0, 55,
55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55,
55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 407, 19, 19, 19, 19, 19, 19, 19, 5, 103,
103, 103, 103, 19, 19, 19, 19, 19, 19, 19, 19, 19, 103, 5, 5, 0, 0, 0, 0,
408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421,
422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435,
436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449,
450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463,
464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477,
478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 24, 17, 17, 24, 17,
17, 4, 17, 24, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0,
0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 390,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55,
390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 488, 489, 490, 491, 492, 493, 494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 495, 496, 497, 498, 499, 0, 0, 0, 0, 0, 55, 24, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 0, 55, 55, 55, 55, 55, 0, 55, 0, 55, 55, 0, 55, 55, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 500,
500, 500, 500, 500, 500, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 4, 4, 4, 4, 4, 4,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 500, 500,
4, 4, 4, 4, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 4, 4, 4, 17, 17, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 17, 17, 17,
4, 4, 5, 0, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0,
4, 4, 4, 4, 0, 0, 0, 0, 500, 55, 500, 55, 500, 0, 500, 55, 500, 55, 500,
55, 500, 55, 500, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 20, 0, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4,
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 5, 4, 4, 4, 4, 4, 4, 16, 16, 16, 16,
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
16, 16, 16, 16, 4, 4, 4, 5, 17, 5, 18, 18, 18, 18, 18, 18, 18, 18, 18,
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 501, 501, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 0, 0, 0, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55,
55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 0, 0, 0,
4, 4, 4, 5, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 20, 20, 20, 4, 4, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 4, 4,
4, 0, 0, 0, 0, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 4, 4, 4, 4,
4, 4, 4, 4, 4, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 26,
26, 26, 26, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 26, 26, 4,
4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 244, 55, 55, 55, 55, 55, 55, 55, 55, 244, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24,
24, 24, 24, 24, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 0, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 4, 244, 244, 244,
244, 244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 502, 502,
502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502,
502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502,
502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 503, 503, 503, 503,
503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503,
503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503,
503, 503, 503, 503, 503, 503, 503, 503, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 502, 502, 502, 502,
502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502,
502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502, 502,
502, 502, 502, 502, 0, 0, 0, 0, 503, 503, 503, 503, 503, 503, 503, 503,
503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503,
503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 0,
0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
4, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 0, 504, 504,
504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 0, 504,
504, 504, 504, 504, 504, 504, 0, 504, 504, 0, 505, 505, 505, 505, 505,
505, 505, 505, 505, 505, 505, 0, 505, 505, 505, 505, 505, 505, 505, 505,
505, 505, 505, 505, 505, 505, 505, 0, 505, 505, 505, 505, 505, 505, 505,
0, 505, 505, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55,
55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 103, 104, 104, 103, 103, 103, 0, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 0, 103, 103, 103, 103, 103, 103, 103,
103, 103, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
55, 55, 55, 55, 55, 55, 0, 0, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0,
55, 55, 0, 0, 0, 55, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 4, 26, 26, 26, 26, 26,
26, 26, 26, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 26, 26, 26, 26, 26, 26, 26, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 26,
26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 0, 0, 0, 0, 26, 26, 26, 26,
26, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 26, 26, 26, 26, 26, 26, 0, 0, 0, 4, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 0, 0, 0, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 26, 26, 55, 55, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 55, 24, 24, 24, 0, 24, 24, 0, 0, 0, 0, 0,
24, 24, 24, 24, 55, 55, 55, 55, 0, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 0, 0, 24, 24, 24, 0, 0, 0, 0, 24, 25, 21, 22, 362,
26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 26, 26, 4,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 26, 26, 26, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 4, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 24, 24, 0, 0, 0, 0, 26, 26, 26, 26, 26, 4, 4, 4, 4, 4, 4, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0,
26, 26, 26, 26, 26, 26, 26, 26, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 26, 26, 26, 26, 26,
26, 26, 26, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110,
110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110,
110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110,
110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117,
117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117,
117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117,
117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 0, 0, 0,
0, 0, 0, 0, 26, 26, 26, 26, 26, 26, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0,
0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 55, 55, 55, 55, 104, 55, 16, 16, 16, 16, 16, 16, 16,
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 24,
24, 24, 24, 24, 4, 104, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 21, 22, 362, 363, 364,
365, 366, 367, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 24, 24, 4,
0, 0, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
104, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24, 24, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 55, 0, 0, 0, 0, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 26, 26,
26, 26, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 24, 24, 24, 24, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
0, 0, 0, 0, 0, 17, 24, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 25, 21, 22, 362, 363, 364,
365, 366, 367, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 24, 55, 55, 24, 24, 55, 0, 0, 0, 0, 0, 0, 0, 0,
0, 24, 24, 24, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 24,
24, 24, 24, 17, 17, 24, 24, 4, 4, 20, 4, 4, 4, 4, 24, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 20, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 24, 24, 24, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24,
24, 24, 24, 17, 24, 24, 24, 24, 24, 24, 24, 24, 0, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 4, 4, 4, 4, 55, 17, 17, 55, 0, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 4, 4,
55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 17, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 17, 17, 17, 24, 24, 24, 24, 24, 24, 24, 24, 24, 17,
17, 55, 55, 55, 55, 4, 4, 4, 4, 24, 24, 24, 24, 4, 17, 24, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 55, 4, 55, 4, 4, 4, 0, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 24, 24, 24,
17, 17, 24, 17, 24, 24, 4, 4, 4, 4, 4, 4, 24, 55, 55, 24, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 0, 55, 55,
55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 24, 17, 17, 17, 24, 24, 24, 24, 24, 24,
24, 24, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0,
0, 24, 24, 17, 17, 0, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 0, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55,
55, 55, 0, 24, 24, 55, 17, 17, 24, 17, 17, 17, 17, 0, 0, 17, 17, 0, 0,
17, 17, 17, 0, 0, 55, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 17, 17, 0, 0, 24, 24, 24, 24, 24, 24, 24, 0, 0, 0, 24, 24, 24,
24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 0, 55, 0, 0, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 17, 17, 17, 24, 24, 24, 24,
24, 24, 0, 17, 0, 0, 17, 0, 17, 17, 17, 17, 0, 17, 17, 24, 17, 24, 55,
24, 55, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17,
17, 24, 24, 24, 24, 24, 24, 24, 24, 17, 17, 24, 24, 24, 17, 24, 55, 55,
55, 55, 4, 4, 4, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 4, 0, 4,
24, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 17, 17, 17, 24, 24, 24, 24, 24, 24, 17, 24, 17, 17, 17, 17, 24,
24, 17, 24, 24, 55, 55, 4, 55, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 24, 24, 24, 24, 0, 0, 17, 17,
17, 17, 24, 24, 17, 24, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 55, 55, 55, 55, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 24, 24,
24, 24, 24, 24, 24, 24, 17, 17, 24, 17, 24, 24, 4, 4, 4, 55, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0,
0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 17, 24, 17,
17, 24, 24, 24, 24, 24, 24, 17, 24, 55, 4, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 24, 17, 24, 17, 17, 24, 24, 24, 24, 17, 24, 24, 24,
24, 24, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 26, 26, 4, 4, 4,
4, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 17, 17, 17, 24, 24, 24, 24, 24, 24, 24, 24, 24, 17, 24,
24, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 0, 0, 55, 55,
55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17,
17, 17, 17, 0, 17, 17, 0, 0, 24, 24, 17, 24, 55, 17, 55, 17, 24, 4, 4, 4,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 24, 24, 24, 24, 0, 0, 24, 24,
17, 17, 17, 17, 24, 55, 4, 55, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 17, 55, 24, 24, 24,
24, 4, 4, 4, 4, 4, 4, 4, 4, 24, 0, 0, 0, 0, 0, 0, 0, 0, 55, 24, 24, 24,
24, 24, 24, 17, 17, 24, 24, 24, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 17, 24, 24, 4, 4, 4,
55, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 24, 17, 24, 24, 24, 17, 24, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12,
13, 14, 15, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
17, 24, 24, 24, 24, 24, 24, 24, 0, 24, 24, 24, 24, 24, 24, 17, 24, 55, 4,
4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 0, 0, 0, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
0, 0, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 0, 17, 24, 24, 24, 24, 24, 24, 24, 17, 24, 24, 17,
24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 24,
24, 24, 24, 0, 0, 0, 24, 0, 24, 24, 0, 24, 24, 24, 24, 24, 24, 24, 55,
24, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0,
0, 0, 0, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 17, 17, 17, 0, 24, 24, 0, 17, 17,
24, 17, 24, 55, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 55, 55, 0, 0, 0, 0, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 24, 24, 17, 17, 4, 4, 0, 0, 0, 0, 0, 0, 0, 24, 24,
55, 17, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 17, 17, 24, 24,
24, 24, 24, 0, 0, 0, 17, 17, 24, 17, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 390,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
390, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 390, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244,
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 0, 4, 4, 4, 4, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 4, 4, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 24, 55,
55, 55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 17, 17,
17, 24, 24, 24, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0,
0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 4, 4, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 6,
7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 0, 24, 24, 24, 24, 24, 4, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24,
24, 24, 24, 24, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 104, 104, 104, 104, 4, 4,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 26,
26, 26, 26, 26, 26, 26, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 104, 104, 104, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 104, 4, 4, 4, 6, 7, 8,
9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 4, 4, 4, 4, 0, 0, 0, 0, 0, 506, 506, 506, 506, 506, 506, 506,
506, 506, 506, 506, 506, 506, 506, 506, 506, 506, 506, 506, 506, 506,
506, 506, 506, 506, 0, 0, 507, 507, 507, 507, 507, 507, 507, 507, 507,
507, 507, 507, 507, 507, 507, 507, 507, 507, 507, 507, 507, 507, 507,
507, 507, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 0, 0, 0, 0, 24, 55, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17,
17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17,
17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17,
17, 17, 17, 17, 17, 17, 17, 17, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 104,
104, 104, 104, 104, 104, 104, 104, 104, 104, 104, 104, 104, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 104, 4, 104, 24, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 17, 17, 104, 104, 244, 244, 244, 0, 0, 0, 0, 0, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104,
104, 104, 104, 0, 104, 104, 104, 104, 104, 104, 104, 0, 104, 104, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 0, 0,
55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 0, 0, 0, 0,
0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0,
0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0,
0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 0, 0, 4, 24, 24, 4, 20, 20, 20, 20, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 4, 4,
0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
0, 0, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 17, 17, 24, 24, 24, 4, 4, 4,
17, 17, 17, 17, 17, 17, 20, 20, 20, 20, 20, 20, 20, 20, 24, 24, 24, 24,
24, 24, 24, 24, 4, 4, 24, 24, 24, 24, 24, 24, 24, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 24,
24, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 24, 24, 24, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 0, 0, 0, 0, 0, 0, 0, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 19, 19, 19, 19, 19, 19, 19, 0, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 122, 0, 122, 122, 0, 0, 122, 0, 0, 122, 122, 0, 0, 122, 122, 122,
122, 0, 122, 122, 122, 122, 122, 122, 122, 122, 19, 19, 19, 19, 0, 19, 0,
19, 19, 19, 19, 19, 19, 19, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 122, 122, 0, 122, 122, 122, 122, 0, 0, 122, 122, 122,
122, 122, 122, 122, 122, 0, 122, 122, 122, 122, 122, 122, 122, 0, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 122, 122, 0, 122, 122, 122, 122, 0, 122, 122,
122, 122, 122, 0, 122, 0, 0, 0, 122, 122, 122, 122, 122, 122, 122, 0, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 0, 0, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 4,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 4, 19, 19, 19, 19, 19, 19, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 4, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
4, 19, 19, 19, 19, 19, 19, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 4, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 4, 19, 19, 19, 19, 19, 19, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 4, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 4, 19, 19, 19, 19, 19, 19, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122,
122, 122, 122, 122, 4, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 4, 19, 19, 19, 19,
19, 19, 122, 19, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 4, 4, 4,
4, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 4, 4, 4, 4,
4, 4, 4, 4, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 4, 4, 4, 4,
4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24,
0, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 55, 19, 19, 19,
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 0,
0, 0, 0, 0, 19, 19, 19, 19, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 24, 24, 24, 24, 24, 24, 24, 0, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 0, 0, 24, 24, 24, 24, 24, 24, 24, 0, 24, 24,
0, 24, 24, 24, 24, 24, 0, 0, 0, 0, 0, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103,
103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 24, 24, 24, 24, 24, 24, 24, 104,
104, 104, 104, 104, 104, 104, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
0, 0, 0, 0, 55, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 24, 24, 6, 7,
8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 104, 24, 24, 24, 24, 6, 7, 8, 9, 10,
11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 24, 24, 55, 6, 7, 8, 9, 10, 11, 12,
13, 14, 15, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55,
24, 55, 55, 24, 55, 55, 55, 55, 55, 55, 55, 24, 24, 55, 55, 55, 55, 55,
24, 0, 0, 0, 0, 0, 0, 0, 0, 55, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55,
55, 55, 55, 0, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 0, 0, 26, 26, 26, 26, 26, 26, 26, 26, 26, 24, 24, 24, 24, 24, 24, 24,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 508, 508, 508, 508,
508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508,
508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508, 508,
508, 508, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509,
509, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509, 509,
509, 509, 509, 509, 509, 509, 509, 509, 24, 24, 24, 24, 24, 24, 24, 104,
0, 0, 0, 0, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 4, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 4, 26, 26, 26, 4, 26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 4, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55,
55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 0, 55, 0,
0, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 0,
55, 0, 55, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 55, 0, 55, 0, 55, 0, 55, 55,
55, 0, 55, 55, 0, 55, 0, 0, 55, 0, 55, 0, 55, 0, 55, 0, 55, 0, 55, 55, 0,
55, 0, 0, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55, 55, 0, 55, 55, 55,
55, 0, 55, 55, 55, 55, 0, 55, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0,
0, 0, 0, 0, 55, 55, 55, 0, 55, 55, 55, 55, 55, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 361, 361, 25, 21, 22, 362, 363, 364, 365, 366, 367, 26, 26, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 510, 510, 510, 510, 510, 510, 510, 510, 510,
510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510,
510, 510, 510, 4, 4, 4, 4, 4, 4, 510, 510, 510, 510, 510, 510, 510, 510,
510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510,
510, 510, 510, 510, 4, 4, 4, 4, 4, 4, 510, 510, 510, 510, 510, 510, 510,
510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510, 510,
510, 510, 510, 510, 510, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4,
4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0,
0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 4, 0, 0, 0, 0, 0, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55,
55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 390, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 0, 0, 0, 0, 0, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55,
55, 55, 55, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 20, 20, 20,
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
20, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,
};
/* Returns the numeric value as double for Unicode characters
* having this property, -1.0 otherwise.
*/
double _PyUnicode_ToNumeric(Py_UCS4 ch)
{
switch (ch) {
case 0x0F33:
return (double) -1.0/2.0;
case 0x0030:
case 0x0660:
case 0x06F0:
case 0x07C0:
case 0x0966:
case 0x09E6:
case 0x0A66:
case 0x0AE6:
case 0x0B66:
case 0x0BE6:
case 0x0C66:
case 0x0C78:
case 0x0CE6:
case 0x0D66:
case 0x0DE6:
case 0x0E50:
case 0x0ED0:
case 0x0F20:
case 0x1040:
case 0x1090:
case 0x17E0:
case 0x17F0:
case 0x1810:
case 0x1946:
case 0x19D0:
case 0x1A80:
case 0x1A90:
case 0x1B50:
case 0x1BB0:
case 0x1C40:
case 0x1C50:
case 0x2070:
case 0x2080:
case 0x2189:
case 0x24EA:
case 0x24FF:
case 0x3007:
case 0x6D1E:
case 0x96F6:
case 0xA620:
case 0xA6EF:
case 0xA8D0:
case 0xA900:
case 0xA9D0:
case 0xA9F0:
case 0xAA50:
case 0xABF0:
case 0xF9B2:
case 0xFF10:
case 0x1018A:
case 0x104A0:
case 0x10D30:
case 0x10D40:
case 0x11066:
case 0x110F0:
case 0x11136:
case 0x111D0:
case 0x112F0:
case 0x11450:
case 0x114D0:
case 0x11650:
case 0x116C0:
case 0x116D0:
case 0x116DA:
case 0x11730:
case 0x118E0:
case 0x11950:
case 0x11BF0:
case 0x11C50:
case 0x11D50:
case 0x11DA0:
case 0x11DE0:
case 0x11F50:
case 0x16130:
case 0x16A60:
case 0x16AC0:
case 0x16B50:
case 0x16D70:
case 0x16E80:
case 0x1CCF0:
case 0x1D2C0:
case 0x1D2E0:
case 0x1D7CE:
case 0x1D7D8:
case 0x1D7E2:
case 0x1D7EC:
case 0x1D7F6:
case 0x1E140:
case 0x1E2F0:
case 0x1E4F0:
case 0x1E5F1:
case 0x1E950:
case 0x1F100:
case 0x1F101:
case 0x1F10B:
case 0x1F10C:
case 0x1FBF0:
return (double) 0.0;
case 0x0031:
case 0x00B9:
case 0x0661:
case 0x06F1:
case 0x07C1:
case 0x0967:
case 0x09E7:
case 0x0A67:
case 0x0AE7:
case 0x0B67:
case 0x0BE7:
case 0x0C67:
case 0x0C79:
case 0x0C7C:
case 0x0CE7:
case 0x0D67:
case 0x0DE7:
case 0x0E51:
case 0x0ED1:
case 0x0F21:
case 0x1041:
case 0x1091:
case 0x1369:
case 0x17E1:
case 0x17F1:
case 0x1811:
case 0x1947:
case 0x19D1:
case 0x19DA:
case 0x1A81:
case 0x1A91:
case 0x1B51:
case 0x1BB1:
case 0x1C41:
case 0x1C51:
case 0x2081:
case 0x215F:
case 0x2160:
case 0x2170:
case 0x2460:
case 0x2474:
case 0x2488:
case 0x24F5:
case 0x2776:
case 0x2780:
case 0x278A:
case 0x3021:
case 0x3192:
case 0x3220:
case 0x3280:
case 0x4E00:
case 0x58F1:
case 0x58F9:
case 0x5E7A:
case 0x5F0C:
case 0xA621:
case 0xA6E6:
case 0xA8D1:
case 0xA901:
case 0xA9D1:
case 0xA9F1:
case 0xAA51:
case 0xABF1:
case 0xFF11:
case 0x10107:
case 0x10142:
case 0x10158:
case 0x10159:
case 0x1015A:
case 0x102E1:
case 0x10320:
case 0x103D1:
case 0x104A1:
case 0x10858:
case 0x10879:
case 0x108A7:
case 0x108FB:
case 0x10916:
case 0x109C0:
case 0x10A40:
case 0x10A7D:
case 0x10A9D:
case 0x10AEB:
case 0x10B58:
case 0x10B78:
case 0x10BA9:
case 0x10CFA:
case 0x10D31:
case 0x10D41:
case 0x10E60:
case 0x10F1D:
case 0x10F51:
case 0x10FC5:
case 0x11052:
case 0x11067:
case 0x110F1:
case 0x11137:
case 0x111D1:
case 0x111E1:
case 0x112F1:
case 0x11451:
case 0x114D1:
case 0x11651:
case 0x116C1:
case 0x116D1:
case 0x116DB:
case 0x11731:
case 0x118E1:
case 0x11951:
case 0x11BF1:
case 0x11C51:
case 0x11C5A:
case 0x11D51:
case 0x11DA1:
case 0x11DE1:
case 0x11F51:
case 0x12038:
case 0x12039:
case 0x12079:
case 0x1230B:
case 0x12415:
case 0x1241E:
case 0x1242C:
case 0x12434:
case 0x1244F:
case 0x12458:
case 0x16131:
case 0x16A61:
case 0x16AC1:
case 0x16B51:
case 0x16D71:
case 0x16E81:
case 0x16E94:
case 0x16FF4:
case 0x1CCF1:
case 0x1D2C1:
case 0x1D2E1:
case 0x1D360:
case 0x1D372:
case 0x1D377:
case 0x1D7CF:
case 0x1D7D9:
case 0x1D7E3:
case 0x1D7ED:
case 0x1D7F7:
case 0x1E141:
case 0x1E2F1:
case 0x1E4F1:
case 0x1E5F2:
case 0x1E8C7:
case 0x1E951:
case 0x1EC71:
case 0x1ECA3:
case 0x1ECB1:
case 0x1ED01:
case 0x1F102:
case 0x1FBF1:
case 0x2092A:
return (double) 1.0;
case 0x0D5C:
case 0x2152:
case 0x11FCB:
return (double) 1.0/10.0;
case 0x109F6:
return (double) 1.0/12.0;
case 0x09F4:
case 0x0B75:
case 0x0D76:
case 0xA833:
case 0x11FC9:
case 0x11FCA:
return (double) 1.0/16.0;
case 0x0D58:
case 0x11FC1:
return (double) 1.0/160.0;
case 0x00BD:
case 0x0B73:
case 0x0D74:
case 0x0F2A:
case 0x2CFD:
case 0xA831:
case 0x10141:
case 0x10175:
case 0x10176:
case 0x109BD:
case 0x10A48:
case 0x10E7B:
case 0x10F26:
case 0x11FD1:
case 0x11FD2:
case 0x12226:
case 0x12464:
case 0x1ECAE:
case 0x1ED3C:
return (double) 1.0/2.0;
case 0x0D5B:
case 0x11FC8:
return (double) 1.0/20.0;
case 0x2153:
case 0x10E7D:
case 0x1245A:
case 0x1245D:
case 0x12465:
return (double) 1.0/3.0;
case 0x11FC5:
return (double) 1.0/32.0;
case 0x11FC0:
case 0x11FD4:
return (double) 1.0/320.0;
case 0x00BC:
case 0x09F7:
case 0x0B72:
case 0x0D73:
case 0xA830:
case 0x10140:
case 0x1018B:
case 0x10E7C:
case 0x11FD0:
case 0x12460:
case 0x12462:
case 0x12463:
case 0x1ECAD:
return (double) 1.0/4.0;
case 0x0D59:
case 0x11FC4:
return (double) 1.0/40.0;
case 0x0D5E:
case 0x2155:
case 0x11FCF:
return (double) 1.0/5.0;
case 0x2159:
case 0x12461:
case 0x1ED3D:
return (double) 1.0/6.0;
case 0x11FC3:
return (double) 1.0/64.0;
case 0x2150:
return (double) 1.0/7.0;
case 0x09F5:
case 0x0B76:
case 0x0D77:
case 0x215B:
case 0xA834:
case 0x11FCC:
case 0x1245F:
return (double) 1.0/8.0;
case 0x11FC2:
return (double) 1.0/80.0;
case 0x2151:
return (double) 1.0/9.0;
case 0x0BF0:
case 0x0D70:
case 0x1372:
case 0x2169:
case 0x2179:
case 0x2469:
case 0x247D:
case 0x2491:
case 0x24FE:
case 0x277F:
case 0x2789:
case 0x2793:
case 0x3038:
case 0x3229:
case 0x3248:
case 0x3289:
case 0x4EC0:
case 0x5341:
case 0x62FE:
case 0xF973:
case 0xF9FD:
case 0x10110:
case 0x10149:
case 0x10150:
case 0x10157:
case 0x10160:
case 0x10161:
case 0x10162:
case 0x10163:
case 0x10164:
case 0x102EA:
case 0x10322:
case 0x103D3:
case 0x1085B:
case 0x1087E:
case 0x108AD:
case 0x108FD:
case 0x10917:
case 0x109C9:
case 0x10A44:
case 0x10A9E:
case 0x10AED:
case 0x10B5C:
case 0x10B7C:
case 0x10BAD:
case 0x10CFC:
case 0x10E69:
case 0x10F22:
case 0x10F52:
case 0x10FC9:
case 0x1105B:
case 0x111EA:
case 0x1173A:
case 0x118EA:
case 0x11C63:
case 0x16B5B:
case 0x16E8A:
case 0x1D2CA:
case 0x1D2EA:
case 0x1D369:
case 0x1EC7A:
case 0x1ED0A:
case 0x1ED37:
return (double) 10.0;
case 0x109FF:
return (double) 10.0/12.0;
case 0x0BF1:
case 0x0D71:
case 0x137B:
case 0x216D:
case 0x217D:
case 0x4F70:
case 0x767E:
case 0x964C:
case 0x10119:
case 0x1014B:
case 0x10152:
case 0x1016A:
case 0x102F3:
case 0x103D5:
case 0x1085D:
case 0x108AF:
case 0x108FF:
case 0x10919:
case 0x109D2:
case 0x10A46:
case 0x10AEF:
case 0x10B5E:
case 0x10B7E:
case 0x10BAF:
case 0x10CFE:
case 0x10E72:
case 0x10F25:
case 0x10F54:
case 0x10FCB:
case 0x11064:
case 0x111F3:
case 0x11C6C:
case 0x16B5C:
case 0x1EC83:
case 0x1ED13:
return (double) 100.0;
case 0x0BF2:
case 0x0D72:
case 0x216F:
case 0x217F:
case 0x2180:
case 0x4EDF:
case 0x5343:
case 0x9621:
case 0x10122:
case 0x1014D:
case 0x10154:
case 0x10171:
case 0x1085E:
case 0x109DB:
case 0x10A47:
case 0x10B5F:
case 0x10B7F:
case 0x10CFF:
case 0x11065:
case 0x111F4:
case 0x1EC8C:
case 0x1ED1C:
return (double) 1000.0;
case 0x137C:
case 0x2182:
case 0x4E07:
case 0x842C:
case 0x1012B:
case 0x10155:
case 0x1085F:
case 0x109E4:
case 0x16B5D:
case 0x1EC95:
case 0x1ECB3:
case 0x1ED25:
case 0x1ED3B:
return (double) 10000.0;
case 0x2188:
case 0x109ED:
case 0x1EC9E:
case 0x1ECA0:
case 0x1ECB4:
return (double) 100000.0;
case 0x16B5E:
return (double) 1000000.0;
case 0x1ECA1:
return (double) 10000000.0;
case 0x4EBF:
case 0x5104:
case 0x16B5F:
return (double) 100000000.0;
case 0x79ED:
return (double) 1000000000.0;
case 0x16B60:
return (double) 10000000000.0;
case 0x5146:
case 0x16B61:
return (double) 1000000000000.0;
case 0x4EAC:
return (double) 1e+16;
case 0x216A:
case 0x217A:
case 0x246A:
case 0x247E:
case 0x2492:
case 0x24EB:
case 0x16E8B:
case 0x1D2CB:
case 0x1D2EB:
return (double) 11.0;
case 0x109BC:
return (double) 11.0/12.0;
case 0x0F2F:
return (double) 11.0/2.0;
case 0x216B:
case 0x217B:
case 0x246B:
case 0x247F:
case 0x2493:
case 0x24EC:
case 0x16E8C:
case 0x1D2CC:
case 0x1D2EC:
return (double) 12.0;
case 0x246C:
case 0x2480:
case 0x2494:
case 0x24ED:
case 0x16E8D:
case 0x1D2CD:
case 0x1D2ED:
return (double) 13.0;
case 0x0F30:
return (double) 13.0/2.0;
case 0x246D:
case 0x2481:
case 0x2495:
case 0x24EE:
case 0x16E8E:
case 0x1D2CE:
case 0x1D2EE:
return (double) 14.0;
case 0x246E:
case 0x2482:
case 0x2496:
case 0x24EF:
case 0x16E8F:
case 0x1D2CF:
case 0x1D2EF:
return (double) 15.0;
case 0x0F31:
return (double) 15.0/2.0;
case 0x09F9:
case 0x246F:
case 0x2483:
case 0x2497:
case 0x24F0:
case 0x16E90:
case 0x1D2D0:
case 0x1D2F0:
return (double) 16.0;
case 0x16EE:
case 0x2470:
case 0x2484:
case 0x2498:
case 0x24F1:
case 0x16E91:
case 0x1D2D1:
case 0x1D2F1:
return (double) 17.0;
case 0x0F32:
return (double) 17.0/2.0;
case 0x16EF:
case 0x2471:
case 0x2485:
case 0x2499:
case 0x24F2:
case 0x16E92:
case 0x1D2D2:
case 0x1D2F2:
return (double) 18.0;
case 0x16F0:
case 0x2472:
case 0x2486:
case 0x249A:
case 0x24F3:
case 0x16E93:
case 0x1D2D3:
case 0x1D2F3:
return (double) 19.0;
case 0x0032:
case 0x00B2:
case 0x0662:
case 0x06F2:
case 0x07C2:
case 0x0968:
case 0x09E8:
case 0x0A68:
case 0x0AE8:
case 0x0B68:
case 0x0BE8:
case 0x0C68:
case 0x0C7A:
case 0x0C7D:
case 0x0CE8:
case 0x0D68:
case 0x0DE8:
case 0x0E52:
case 0x0ED2:
case 0x0F22:
case 0x1042:
case 0x1092:
case 0x136A:
case 0x17E2:
case 0x17F2:
case 0x1812:
case 0x1948:
case 0x19D2:
case 0x1A82:
case 0x1A92:
case 0x1B52:
case 0x1BB2:
case 0x1C42:
case 0x1C52:
case 0x2082:
case 0x2161:
case 0x2171:
case 0x2461:
case 0x2475:
case 0x2489:
case 0x24F6:
case 0x2777:
case 0x2781:
case 0x278B:
case 0x3022:
case 0x3193:
case 0x3221:
case 0x3281:
case 0x3483:
case 0x4E24:
case 0x4E8C:
case 0x4FE9:
case 0x5006:
case 0x5169:
case 0x5F0D:
case 0x5F10:
case 0x8CAE:
case 0x8CB3:
case 0x8D30:
case 0xA622:
case 0xA6E7:
case 0xA8D2:
case 0xA902:
case 0xA9D2:
case 0xA9F2:
case 0xAA52:
case 0xABF2:
case 0xF978:
case 0xFF12:
case 0x10108:
case 0x1015B:
case 0x1015C:
case 0x1015D:
case 0x1015E:
case 0x102E2:
case 0x103D2:
case 0x104A2:
case 0x10859:
case 0x1087A:
case 0x108A8:
case 0x1091A:
case 0x109C1:
case 0x10A41:
case 0x10B59:
case 0x10B79:
case 0x10BAA:
case 0x10D32:
case 0x10D42:
case 0x10E61:
case 0x10F1E:
case 0x10FC6:
case 0x11053:
case 0x11068:
case 0x110F2:
case 0x11138:
case 0x111D2:
case 0x111E2:
case 0x112F2:
case 0x11452:
case 0x114D2:
case 0x11652:
case 0x116C2:
case 0x116D2:
case 0x116DC:
case 0x11732:
case 0x118E2:
case 0x11952:
case 0x11BF2:
case 0x11C52:
case 0x11C5B:
case 0x11D52:
case 0x11DA2:
case 0x11DE2:
case 0x11F52:
case 0x1222B:
case 0x12399:
case 0x12400:
case 0x12416:
case 0x1241F:
case 0x12423:
case 0x1242D:
case 0x12435:
case 0x1244A:
case 0x12450:
case 0x12456:
case 0x12459:
case 0x16132:
case 0x16A62:
case 0x16AC2:
case 0x16B52:
case 0x16D72:
case 0x16E82:
case 0x16E95:
case 0x16FF6:
case 0x1CCF2:
case 0x1D2C2:
case 0x1D2E2:
case 0x1D361:
case 0x1D373:
case 0x1D7D0:
case 0x1D7DA:
case 0x1D7E4:
case 0x1D7EE:
case 0x1D7F8:
case 0x1E142:
case 0x1E2F2:
case 0x1E4F2:
case 0x1E5F3:
case 0x1E8C8:
case 0x1E952:
case 0x1EC72:
case 0x1ECA4:
case 0x1ECB2:
case 0x1ED02:
case 0x1ED2F:
case 0x1F103:
case 0x1FBF2:
case 0x22390:
return (double) 2.0;
case 0x109F7:
return (double) 2.0/12.0;
case 0x2154:
case 0x10177:
case 0x10E7E:
case 0x1245B:
case 0x1245E:
case 0x12466:
return (double) 2.0/3.0;
case 0x2156:
return (double) 2.0/5.0;
case 0x1373:
case 0x2473:
case 0x2487:
case 0x249B:
case 0x24F4:
case 0x3039:
case 0x3249:
case 0x5344:
case 0x5EFF:
case 0x10111:
case 0x102EB:
case 0x103D4:
case 0x1085C:
case 0x1087F:
case 0x108AE:
case 0x108FE:
case 0x10918:
case 0x109CA:
case 0x10A45:
case 0x10A9F:
case 0x10AEE:
case 0x10B5D:
case 0x10B7D:
case 0x10BAE:
case 0x10E6A:
case 0x10F23:
case 0x10F53:
case 0x10FCA:
case 0x1105C:
case 0x111EB:
case 0x1173B:
case 0x118EB:
case 0x11C64:
case 0x1D36A:
case 0x1EC7B:
case 0x1ED0B:
return (double) 20.0;
case 0x7695:
case 0x1011A:
case 0x102F4:
case 0x109D3:
case 0x10E73:
case 0x1EC84:
case 0x1ED14:
return (double) 200.0;
case 0x10123:
case 0x109DC:
case 0x1EC8D:
case 0x1ED1D:
case 0x1ED3A:
return (double) 2000.0;
case 0x1012C:
case 0x109E5:
case 0x1EC96:
case 0x1ED26:
return (double) 20000.0;
case 0x109EE:
case 0x1EC9F:
return (double) 200000.0;
case 0x1ECA2:
return (double) 20000000.0;
case 0x3251:
return (double) 21.0;
case 0x12432:
return (double) 216000.0;
case 0x3252:
return (double) 22.0;
case 0x3253:
return (double) 23.0;
case 0x3254:
return (double) 24.0;
case 0x3255:
return (double) 25.0;
case 0x3256:
return (double) 26.0;
case 0x3257:
return (double) 27.0;
case 0x3258:
return (double) 28.0;
case 0x3259:
return (double) 29.0;
case 0x0033:
case 0x00B3:
case 0x0663:
case 0x06F3:
case 0x07C3:
case 0x0969:
case 0x09E9:
case 0x0A69:
case 0x0AE9:
case 0x0B69:
case 0x0BE9:
case 0x0C69:
case 0x0C7B:
case 0x0C7E:
case 0x0CE9:
case 0x0D69:
case 0x0DE9:
case 0x0E53:
case 0x0ED3:
case 0x0F23:
case 0x1043:
case 0x1093:
case 0x136B:
case 0x17E3:
case 0x17F3:
case 0x1813:
case 0x1949:
case 0x19D3:
case 0x1A83:
case 0x1A93:
case 0x1B53:
case 0x1BB3:
case 0x1C43:
case 0x1C53:
case 0x2083:
case 0x2162:
case 0x2172:
case 0x2462:
case 0x2476:
case 0x248A:
case 0x24F7:
case 0x2778:
case 0x2782:
case 0x278C:
case 0x3023:
case 0x3194:
case 0x3222:
case 0x3282:
case 0x4E09:
case 0x4EE8:
case 0x53C1:
case 0x53C2:
case 0x53C3:
case 0x53C4:
case 0x5F0E:
case 0xA623:
case 0xA6E8:
case 0xA8D3:
case 0xA903:
case 0xA9D3:
case 0xA9F3:
case 0xAA53:
case 0xABF3:
case 0xF96B:
case 0xFF13:
case 0x10109:
case 0x102E3:
case 0x104A3:
case 0x1085A:
case 0x1087B:
case 0x108A9:
case 0x1091B:
case 0x109C2:
case 0x10A42:
case 0x10B5A:
case 0x10B7A:
case 0x10BAB:
case 0x10D33:
case 0x10D43:
case 0x10E62:
case 0x10F1F:
case 0x10FC7:
case 0x11054:
case 0x11069:
case 0x110F3:
case 0x11139:
case 0x111D3:
case 0x111E3:
case 0x112F3:
case 0x11453:
case 0x114D3:
case 0x11653:
case 0x116C3:
case 0x116D3:
case 0x116DD:
case 0x11733:
case 0x118E3:
case 0x11953:
case 0x11BF3:
case 0x11C53:
case 0x11C5C:
case 0x11D53:
case 0x11DA3:
case 0x11DE3:
case 0x11F53:
case 0x1230D:
case 0x12401:
case 0x12408:
case 0x12417:
case 0x12420:
case 0x12424:
case 0x12425:
case 0x1242E:
case 0x1242F:
case 0x12436:
case 0x12437:
case 0x1243A:
case 0x1243B:
case 0x1244B:
case 0x12451:
case 0x12457:
case 0x16133:
case 0x16A63:
case 0x16AC3:
case 0x16B53:
case 0x16D73:
case 0x16E83:
case 0x16E96:
case 0x1CCF3:
case 0x1D2C3:
case 0x1D2E3:
case 0x1D362:
case 0x1D374:
case 0x1D7D1:
case 0x1D7DB:
case 0x1D7E5:
case 0x1D7EF:
case 0x1D7F9:
case 0x1E143:
case 0x1E2F3:
case 0x1E4F3:
case 0x1E5F4:
case 0x1E8C9:
case 0x1E953:
case 0x1EC73:
case 0x1ECA5:
case 0x1ED03:
case 0x1ED30:
case 0x1F104:
case 0x1FBF3:
case 0x20AFD:
case 0x20B19:
case 0x22998:
case 0x23B1B:
return (double) 3.0;
case 0x109F8:
return (double) 3.0/12.0;
case 0x09F6:
case 0x0B77:
case 0x0D78:
case 0xA835:
case 0x11FCE:
return (double) 3.0/16.0;
case 0x0F2B:
case 0x16FF5:
return (double) 3.0/2.0;
case 0x0D5D:
case 0x11FCD:
return (double) 3.0/20.0;
case 0x00BE:
case 0x09F8:
case 0x0B74:
case 0x0D75:
case 0xA832:
case 0x10178:
case 0x11FD3:
case 0x1ECAF:
return (double) 3.0/4.0;
case 0x2157:
return (double) 3.0/5.0;
case 0x11FC7:
return (double) 3.0/64.0;
case 0x215C:
return (double) 3.0/8.0;
case 0x0D5A:
case 0x11FC6:
return (double) 3.0/80.0;
case 0x1374:
case 0x303A:
case 0x324A:
case 0x325A:
case 0x5345:
case 0x10112:
case 0x10165:
case 0x102EC:
case 0x109CB:
case 0x10E6B:
case 0x10F24:
case 0x1105D:
case 0x111EC:
case 0x118EC:
case 0x11C65:
case 0x1D36B:
case 0x1EC7C:
case 0x1ED0C:
case 0x20983:
return (double) 30.0;
case 0x1011B:
case 0x1016B:
case 0x102F5:
case 0x109D4:
case 0x10E74:
case 0x1EC85:
case 0x1ED15:
return (double) 300.0;
case 0x10124:
case 0x109DD:
case 0x1EC8E:
case 0x1ED1E:
return (double) 3000.0;
case 0x1012D:
case 0x109E6:
case 0x1EC97:
case 0x1ED27:
return (double) 30000.0;
case 0x109EF:
return (double) 300000.0;
case 0x325B:
return (double) 31.0;
case 0x325C:
return (double) 32.0;
case 0x325D:
return (double) 33.0;
case 0x325E:
return (double) 34.0;
case 0x325F:
return (double) 35.0;
case 0x32B1:
return (double) 36.0;
case 0x32B2:
return (double) 37.0;
case 0x32B3:
return (double) 38.0;
case 0x32B4:
return (double) 39.0;
case 0x0034:
case 0x0664:
case 0x06F4:
case 0x07C4:
case 0x096A:
case 0x09EA:
case 0x0A6A:
case 0x0AEA:
case 0x0B6A:
case 0x0BEA:
case 0x0C6A:
case 0x0CEA:
case 0x0D6A:
case 0x0DEA:
case 0x0E54:
case 0x0ED4:
case 0x0F24:
case 0x1044:
case 0x1094:
case 0x136C:
case 0x17E4:
case 0x17F4:
case 0x1814:
case 0x194A:
case 0x19D4:
case 0x1A84:
case 0x1A94:
case 0x1B54:
case 0x1BB4:
case 0x1C44:
case 0x1C54:
case 0x2074:
case 0x2084:
case 0x2163:
case 0x2173:
case 0x2463:
case 0x2477:
case 0x248B:
case 0x24F8:
case 0x2779:
case 0x2783:
case 0x278D:
case 0x3024:
case 0x3195:
case 0x3223:
case 0x3283:
case 0x4E96:
case 0x56DB:
case 0x8086:
case 0xA624:
case 0xA6E9:
case 0xA8D4:
case 0xA904:
case 0xA9D4:
case 0xA9F4:
case 0xAA54:
case 0xABF4:
case 0xFF14:
case 0x1010A:
case 0x102E4:
case 0x104A4:
case 0x1087C:
case 0x108AA:
case 0x108AB:
case 0x109C3:
case 0x10A43:
case 0x10B5B:
case 0x10B7B:
case 0x10BAC:
case 0x10D34:
case 0x10D44:
case 0x10E63:
case 0x10F20:
case 0x10FC8:
case 0x11055:
case 0x1106A:
case 0x110F4:
case 0x1113A:
case 0x111D4:
case 0x111E4:
case 0x112F4:
case 0x11454:
case 0x114D4:
case 0x11654:
case 0x116C4:
case 0x116D4:
case 0x116DE:
case 0x11734:
case 0x118E4:
case 0x11954:
case 0x11BF4:
case 0x11C54:
case 0x11C5D:
case 0x11D54:
case 0x11DA4:
case 0x11DE4:
case 0x11F54:
case 0x12402:
case 0x12409:
case 0x1240F:
case 0x12418:
case 0x12421:
case 0x12426:
case 0x12430:
case 0x12438:
case 0x1243C:
case 0x1243D:
case 0x1243E:
case 0x1243F:
case 0x1244C:
case 0x12452:
case 0x12453:
case 0x12469:
case 0x16134:
case 0x16A64:
case 0x16AC4:
case 0x16B54:
case 0x16D74:
case 0x16E84:
case 0x1CCF4:
case 0x1D2C4:
case 0x1D2E4:
case 0x1D363:
case 0x1D375:
case 0x1D7D2:
case 0x1D7DC:
case 0x1D7E6:
case 0x1D7F0:
case 0x1D7FA:
case 0x1E144:
case 0x1E2F4:
case 0x1E4F4:
case 0x1E5F5:
case 0x1E8CA:
case 0x1E954:
case 0x1EC74:
case 0x1ECA6:
case 0x1ED04:
case 0x1ED31:
case 0x1F105:
case 0x1FBF4:
case 0x20064:
case 0x200E2:
case 0x2626D:
return (double) 4.0;
case 0x109F9:
return (double) 4.0/12.0;
case 0x2158:
return (double) 4.0/5.0;
case 0x1375:
case 0x324B:
case 0x32B5:
case 0x534C:
case 0x10113:
case 0x102ED:
case 0x109CC:
case 0x10E6C:
case 0x1105E:
case 0x111ED:
case 0x118ED:
case 0x11C66:
case 0x12467:
case 0x1D36C:
case 0x1EC7D:
case 0x1ED0D:
case 0x2098C:
case 0x2099C:
return (double) 40.0;
case 0x1011C:
case 0x102F6:
case 0x109D5:
case 0x10E75:
case 0x1EC86:
case 0x1ED16:
case 0x1ED38:
return (double) 400.0;
case 0x10125:
case 0x109DE:
case 0x1EC8F:
case 0x1ED1F:
return (double) 4000.0;
case 0x1012E:
case 0x109E7:
case 0x1EC98:
case 0x1ED28:
return (double) 40000.0;
case 0x109F0:
return (double) 400000.0;
case 0x32B6:
return (double) 41.0;
case 0x32B7:
return (double) 42.0;
case 0x32B8:
return (double) 43.0;
case 0x12433:
return (double) 432000.0;
case 0x32B9:
return (double) 44.0;
case 0x32BA:
return (double) 45.0;
case 0x32BB:
return (double) 46.0;
case 0x32BC:
return (double) 47.0;
case 0x32BD:
return (double) 48.0;
case 0x32BE:
return (double) 49.0;
case 0x0035:
case 0x0665:
case 0x06F5:
case 0x07C5:
case 0x096B:
case 0x09EB:
case 0x0A6B:
case 0x0AEB:
case 0x0B6B:
case 0x0BEB:
case 0x0C6B:
case 0x0CEB:
case 0x0D6B:
case 0x0DEB:
case 0x0E55:
case 0x0ED5:
case 0x0F25:
case 0x1045:
case 0x1095:
case 0x136D:
case 0x17E5:
case 0x17F5:
case 0x1815:
case 0x194B:
case 0x19D5:
case 0x1A85:
case 0x1A95:
case 0x1B55:
case 0x1BB5:
case 0x1C45:
case 0x1C55:
case 0x2075:
case 0x2085:
case 0x2164:
case 0x2174:
case 0x2464:
case 0x2478:
case 0x248C:
case 0x24F9:
case 0x277A:
case 0x2784:
case 0x278E:
case 0x3025:
case 0x3224:
case 0x3284:
case 0x3405:
case 0x382A:
case 0x4E94:
case 0x4F0D:
case 0xA625:
case 0xA6EA:
case 0xA8D5:
case 0xA905:
case 0xA9D5:
case 0xA9F5:
case 0xAA55:
case 0xABF5:
case 0xFF15:
case 0x1010B:
case 0x10143:
case 0x10148:
case 0x1014F:
case 0x1015F:
case 0x10173:
case 0x102E5:
case 0x10321:
case 0x104A5:
case 0x1087D:
case 0x108AC:
case 0x108FC:
case 0x109C4:
case 0x10AEC:
case 0x10CFB:
case 0x10D35:
case 0x10D45:
case 0x10E64:
case 0x10F21:
case 0x11056:
case 0x1106B:
case 0x110F5:
case 0x1113B:
case 0x111D5:
case 0x111E5:
case 0x112F5:
case 0x11455:
case 0x114D5:
case 0x11655:
case 0x116C5:
case 0x116D5:
case 0x116DF:
case 0x11735:
case 0x118E5:
case 0x11955:
case 0x11BF5:
case 0x11C55:
case 0x11C5E:
case 0x11D55:
case 0x11DA5:
case 0x11DE5:
case 0x11F55:
case 0x12403:
case 0x1240A:
case 0x12410:
case 0x12419:
case 0x12422:
case 0x12427:
case 0x12431:
case 0x12439:
case 0x1244D:
case 0x12454:
case 0x12455:
case 0x1246A:
case 0x16135:
case 0x16A65:
case 0x16AC5:
case 0x16B55:
case 0x16D75:
case 0x16E85:
case 0x1CCF5:
case 0x1D2C5:
case 0x1D2E5:
case 0x1D364:
case 0x1D376:
case 0x1D378:
case 0x1D7D3:
case 0x1D7DD:
case 0x1D7E7:
case 0x1D7F1:
case 0x1D7FB:
case 0x1E145:
case 0x1E2F5:
case 0x1E4F5:
case 0x1E5F6:
case 0x1E8CB:
case 0x1E955:
case 0x1EC75:
case 0x1ECA7:
case 0x1ED05:
case 0x1ED32:
case 0x1F106:
case 0x1FBF5:
case 0x20121:
return (double) 5.0;
case 0x109FA:
return (double) 5.0/12.0;
case 0x0F2C:
return (double) 5.0/2.0;
case 0x215A:
case 0x1245C:
return (double) 5.0/6.0;
case 0x215D:
return (double) 5.0/8.0;
case 0x1376:
case 0x216C:
case 0x217C:
case 0x2186:
case 0x324C:
case 0x32BF:
case 0x10114:
case 0x10144:
case 0x1014A:
case 0x10151:
case 0x10166:
case 0x10167:
case 0x10168:
case 0x10169:
case 0x10174:
case 0x102EE:
case 0x10323:
case 0x109CD:
case 0x10A7E:
case 0x10CFD:
case 0x10E6D:
case 0x1105F:
case 0x111EE:
case 0x118EE:
case 0x11C67:
case 0x12468:
case 0x1D36D:
case 0x1EC7E:
case 0x1ED0E:
return (double) 50.0;
case 0x216E:
case 0x217E:
case 0x1011D:
case 0x10145:
case 0x1014C:
case 0x10153:
case 0x1016C:
case 0x1016D:
case 0x1016E:
case 0x1016F:
case 0x10170:
case 0x102F7:
case 0x109D6:
case 0x10E76:
case 0x1EC87:
case 0x1ED17:
return (double) 500.0;
case 0x2181:
case 0x10126:
case 0x10146:
case 0x1014E:
case 0x10172:
case 0x109DF:
case 0x1EC90:
case 0x1ED20:
return (double) 5000.0;
case 0x2187:
case 0x1012F:
case 0x10147:
case 0x10156:
case 0x109E8:
case 0x1EC99:
case 0x1ED29:
return (double) 50000.0;
case 0x109F1:
return (double) 500000.0;
case 0x0036:
case 0x0666:
case 0x06F6:
case 0x07C6:
case 0x096C:
case 0x09EC:
case 0x0A6C:
case 0x0AEC:
case 0x0B6C:
case 0x0BEC:
case 0x0C6C:
case 0x0CEC:
case 0x0D6C:
case 0x0DEC:
case 0x0E56:
case 0x0ED6:
case 0x0F26:
case 0x1046:
case 0x1096:
case 0x136E:
case 0x17E6:
case 0x17F6:
case 0x1816:
case 0x194C:
case 0x19D6:
case 0x1A86:
case 0x1A96:
case 0x1B56:
case 0x1BB6:
case 0x1C46:
case 0x1C56:
case 0x2076:
case 0x2086:
case 0x2165:
case 0x2175:
case 0x2185:
case 0x2465:
case 0x2479:
case 0x248D:
case 0x24FA:
case 0x277B:
case 0x2785:
case 0x278F:
case 0x3026:
case 0x3225:
case 0x3285:
case 0x516D:
case 0x9646:
case 0x9678:
case 0xA626:
case 0xA6EB:
case 0xA8D6:
case 0xA906:
case 0xA9D6:
case 0xA9F6:
case 0xAA56:
case 0xABF6:
case 0xF9D1:
case 0xF9D3:
case 0xFF16:
case 0x1010C:
case 0x102E6:
case 0x104A6:
case 0x109C5:
case 0x10D36:
case 0x10D46:
case 0x10E65:
case 0x11057:
case 0x1106C:
case 0x110F6:
case 0x1113C:
case 0x111D6:
case 0x111E6:
case 0x112F6:
case 0x11456:
case 0x114D6:
case 0x11656:
case 0x116C6:
case 0x116D6:
case 0x116E0:
case 0x11736:
case 0x118E6:
case 0x11956:
case 0x11BF6:
case 0x11C56:
case 0x11C5F:
case 0x11D56:
case 0x11DA6:
case 0x11DE6:
case 0x11F56:
case 0x12404:
case 0x1240B:
case 0x12411:
case 0x1241A:
case 0x12428:
case 0x12440:
case 0x1244E:
case 0x1246B:
case 0x16136:
case 0x16A66:
case 0x16AC6:
case 0x16B56:
case 0x16D76:
case 0x16E86:
case 0x1CCF6:
case 0x1D2C6:
case 0x1D2E6:
case 0x1D365:
case 0x1D7D4:
case 0x1D7DE:
case 0x1D7E8:
case 0x1D7F2:
case 0x1D7FC:
case 0x1E146:
case 0x1E2F6:
case 0x1E4F6:
case 0x1E5F7:
case 0x1E8CC:
case 0x1E956:
case 0x1EC76:
case 0x1ECA8:
case 0x1ED06:
case 0x1ED33:
case 0x1F107:
case 0x1FBF6:
case 0x20AEA:
return (double) 6.0;
case 0x109FB:
return (double) 6.0/12.0;
case 0x1377:
case 0x324D:
case 0x10115:
case 0x102EF:
case 0x109CE:
case 0x10E6E:
case 0x11060:
case 0x111EF:
case 0x118EF:
case 0x11C68:
case 0x1D36E:
case 0x1EC7F:
case 0x1ED0F:
return (double) 60.0;
case 0x1011E:
case 0x102F8:
case 0x109D7:
case 0x10E77:
case 0x1EC88:
case 0x1ED18:
case 0x1ED39:
return (double) 600.0;
case 0x10127:
case 0x109E0:
case 0x1EC91:
case 0x1ED21:
return (double) 6000.0;
case 0x10130:
case 0x109E9:
case 0x1EC9A:
case 0x1ED2A:
return (double) 60000.0;
case 0x109F2:
return (double) 600000.0;
case 0x0037:
case 0x0667:
case 0x06F7:
case 0x07C7:
case 0x096D:
case 0x09ED:
case 0x0A6D:
case 0x0AED:
case 0x0B6D:
case 0x0BED:
case 0x0C6D:
case 0x0CED:
case 0x0D6D:
case 0x0DED:
case 0x0E57:
case 0x0ED7:
case 0x0F27:
case 0x1047:
case 0x1097:
case 0x136F:
case 0x17E7:
case 0x17F7:
case 0x1817:
case 0x194D:
case 0x19D7:
case 0x1A87:
case 0x1A97:
case 0x1B57:
case 0x1BB7:
case 0x1C47:
case 0x1C57:
case 0x2077:
case 0x2087:
case 0x2166:
case 0x2176:
case 0x2466:
case 0x247A:
case 0x248E:
case 0x24FB:
case 0x277C:
case 0x2786:
case 0x2790:
case 0x3027:
case 0x3226:
case 0x3286:
case 0x3B4D:
case 0x4E03:
case 0x62D0:
case 0x67D2:
case 0x6F06:
case 0xA627:
case 0xA6EC:
case 0xA8D7:
case 0xA907:
case 0xA9D7:
case 0xA9F7:
case 0xAA57:
case 0xABF7:
case 0xFF17:
case 0x1010D:
case 0x102E7:
case 0x104A7:
case 0x109C6:
case 0x10D37:
case 0x10D47:
case 0x10E66:
case 0x11058:
case 0x1106D:
case 0x110F7:
case 0x1113D:
case 0x111D7:
case 0x111E7:
case 0x112F7:
case 0x11457:
case 0x114D7:
case 0x11657:
case 0x116C7:
case 0x116D7:
case 0x116E1:
case 0x11737:
case 0x118E7:
case 0x11957:
case 0x11BF7:
case 0x11C57:
case 0x11C60:
case 0x11D57:
case 0x11DA7:
case 0x11DE7:
case 0x11F57:
case 0x12405:
case 0x1240C:
case 0x12412:
case 0x1241B:
case 0x12429:
case 0x12441:
case 0x12442:
case 0x12443:
case 0x1246C:
case 0x16137:
case 0x16A67:
case 0x16AC7:
case 0x16B57:
case 0x16D77:
case 0x16E87:
case 0x1CCF7:
case 0x1D2C7:
case 0x1D2E7:
case 0x1D366:
case 0x1D7D5:
case 0x1D7DF:
case 0x1D7E9:
case 0x1D7F3:
case 0x1D7FD:
case 0x1E147:
case 0x1E2F7:
case 0x1E4F7:
case 0x1E5F8:
case 0x1E8CD:
case 0x1E957:
case 0x1EC77:
case 0x1ECA9:
case 0x1ED07:
case 0x1ED34:
case 0x1F108:
case 0x1FBF7:
case 0x20001:
return (double) 7.0;
case 0x109FC:
return (double) 7.0/12.0;
case 0x0F2D:
return (double) 7.0/2.0;
case 0x215E:
return (double) 7.0/8.0;
case 0x1378:
case 0x324E:
case 0x10116:
case 0x102F0:
case 0x109CF:
case 0x10E6F:
case 0x11061:
case 0x111F0:
case 0x118F0:
case 0x11C69:
case 0x1D36F:
case 0x1EC80:
case 0x1ED10:
return (double) 70.0;
case 0x1011F:
case 0x102F9:
case 0x109D8:
case 0x10E78:
case 0x1EC89:
case 0x1ED19:
return (double) 700.0;
case 0x10128:
case 0x109E1:
case 0x1EC92:
case 0x1ED22:
return (double) 7000.0;
case 0x10131:
case 0x109EA:
case 0x1EC9B:
case 0x1ED2B:
return (double) 70000.0;
case 0x109F3:
return (double) 700000.0;
case 0x0038:
case 0x0668:
case 0x06F8:
case 0x07C8:
case 0x096E:
case 0x09EE:
case 0x0A6E:
case 0x0AEE:
case 0x0B6E:
case 0x0BEE:
case 0x0C6E:
case 0x0CEE:
case 0x0D6E:
case 0x0DEE:
case 0x0E58:
case 0x0ED8:
case 0x0F28:
case 0x1048:
case 0x1098:
case 0x1370:
case 0x17E8:
case 0x17F8:
case 0x1818:
case 0x194E:
case 0x19D8:
case 0x1A88:
case 0x1A98:
case 0x1B58:
case 0x1BB8:
case 0x1C48:
case 0x1C58:
case 0x2078:
case 0x2088:
case 0x2167:
case 0x2177:
case 0x2467:
case 0x247B:
case 0x248F:
case 0x24FC:
case 0x277D:
case 0x2787:
case 0x2791:
case 0x3028:
case 0x3227:
case 0x3287:
case 0x516B:
case 0x634C:
case 0xA628:
case 0xA6ED:
case 0xA8D8:
case 0xA908:
case 0xA9D8:
case 0xA9F8:
case 0xAA58:
case 0xABF8:
case 0xFF18:
case 0x1010E:
case 0x102E8:
case 0x104A8:
case 0x109C7:
case 0x10D38:
case 0x10D48:
case 0x10E67:
case 0x11059:
case 0x1106E:
case 0x110F8:
case 0x1113E:
case 0x111D8:
case 0x111E8:
case 0x112F8:
case 0x11458:
case 0x114D8:
case 0x11658:
case 0x116C8:
case 0x116D8:
case 0x116E2:
case 0x11738:
case 0x118E8:
case 0x11958:
case 0x11BF8:
case 0x11C58:
case 0x11C61:
case 0x11D58:
case 0x11DA8:
case 0x11DE8:
case 0x11F58:
case 0x12406:
case 0x1240D:
case 0x12413:
case 0x1241C:
case 0x1242A:
case 0x12444:
case 0x12445:
case 0x1246D:
case 0x16138:
case 0x16A68:
case 0x16AC8:
case 0x16B58:
case 0x16D78:
case 0x16E88:
case 0x1CCF8:
case 0x1D2C8:
case 0x1D2E8:
case 0x1D367:
case 0x1D7D6:
case 0x1D7E0:
case 0x1D7EA:
case 0x1D7F4:
case 0x1D7FE:
case 0x1E148:
case 0x1E2F8:
case 0x1E4F8:
case 0x1E5F9:
case 0x1E8CE:
case 0x1E958:
case 0x1EC78:
case 0x1ECAA:
case 0x1ED08:
case 0x1ED35:
case 0x1F109:
case 0x1FBF8:
return (double) 8.0;
case 0x109FD:
return (double) 8.0/12.0;
case 0x1379:
case 0x324F:
case 0x10117:
case 0x102F1:
case 0x10E70:
case 0x11062:
case 0x111F1:
case 0x118F1:
case 0x11C6A:
case 0x1D370:
case 0x1EC81:
case 0x1ED11:
return (double) 80.0;
case 0x10120:
case 0x102FA:
case 0x109D9:
case 0x10E79:
case 0x1EC8A:
case 0x1ED1A:
return (double) 800.0;
case 0x10129:
case 0x109E2:
case 0x1EC93:
case 0x1ED23:
return (double) 8000.0;
case 0x10132:
case 0x109EB:
case 0x1EC9C:
case 0x1ED2C:
return (double) 80000.0;
case 0x109F4:
return (double) 800000.0;
case 0x0039:
case 0x0669:
case 0x06F9:
case 0x07C9:
case 0x096F:
case 0x09EF:
case 0x0A6F:
case 0x0AEF:
case 0x0B6F:
case 0x0BEF:
case 0x0C6F:
case 0x0CEF:
case 0x0D6F:
case 0x0DEF:
case 0x0E59:
case 0x0ED9:
case 0x0F29:
case 0x1049:
case 0x1099:
case 0x1371:
case 0x17E9:
case 0x17F9:
case 0x1819:
case 0x194F:
case 0x19D9:
case 0x1A89:
case 0x1A99:
case 0x1B59:
case 0x1BB9:
case 0x1C49:
case 0x1C59:
case 0x2079:
case 0x2089:
case 0x2168:
case 0x2178:
case 0x2468:
case 0x247C:
case 0x2490:
case 0x24FD:
case 0x277E:
case 0x2788:
case 0x2792:
case 0x3029:
case 0x3228:
case 0x3288:
case 0x4E5D:
case 0x5EFE:
case 0x7396:
case 0x920E:
case 0x94A9:
case 0xA629:
case 0xA6EE:
case 0xA8D9:
case 0xA909:
case 0xA9D9:
case 0xA9F9:
case 0xAA59:
case 0xABF9:
case 0xFF19:
case 0x1010F:
case 0x102E9:
case 0x104A9:
case 0x109C8:
case 0x10D39:
case 0x10D49:
case 0x10E68:
case 0x1105A:
case 0x1106F:
case 0x110F9:
case 0x1113F:
case 0x111D9:
case 0x111E9:
case 0x112F9:
case 0x11459:
case 0x114D9:
case 0x11659:
case 0x116C9:
case 0x116D9:
case 0x116E3:
case 0x11739:
case 0x118E9:
case 0x11959:
case 0x11BF9:
case 0x11C59:
case 0x11C62:
case 0x11D59:
case 0x11DA9:
case 0x11DE9:
case 0x11F59:
case 0x12407:
case 0x1240E:
case 0x12414:
case 0x1241D:
case 0x1242B:
case 0x12446:
case 0x12447:
case 0x12448:
case 0x12449:
case 0x1246E:
case 0x16139:
case 0x16A69:
case 0x16AC9:
case 0x16B59:
case 0x16D79:
case 0x16E89:
case 0x1CCF9:
case 0x1D2C9:
case 0x1D2E9:
case 0x1D368:
case 0x1D7D7:
case 0x1D7E1:
case 0x1D7EB:
case 0x1D7F5:
case 0x1D7FF:
case 0x1E149:
case 0x1E2F9:
case 0x1E4F9:
case 0x1E5FA:
case 0x1E8CF:
case 0x1E959:
case 0x1EC79:
case 0x1ECAB:
case 0x1ED09:
case 0x1ED36:
case 0x1F10A:
case 0x1FBF9:
case 0x2F890:
return (double) 9.0;
case 0x109FE:
return (double) 9.0/12.0;
case 0x0F2E:
return (double) 9.0/2.0;
case 0x137A:
case 0x10118:
case 0x102F2:
case 0x10341:
case 0x10E71:
case 0x11063:
case 0x111F2:
case 0x118F2:
case 0x11C6B:
case 0x1D371:
case 0x1EC82:
case 0x1ED12:
return (double) 90.0;
case 0x10121:
case 0x102FB:
case 0x1034A:
case 0x109DA:
case 0x10E7A:
case 0x1EC8B:
case 0x1ED1B:
return (double) 900.0;
case 0x1012A:
case 0x109E3:
case 0x1EC94:
case 0x1ED24:
return (double) 9000.0;
case 0x10133:
case 0x109EC:
case 0x1EC9D:
case 0x1ED2D:
return (double) 90000.0;
case 0x109F5:
return (double) 900000.0;
}
return -1.0;
}
/* Returns 1 for Unicode characters having the bidirectional
* type 'WS', 'B' or 'S' or the category 'Zs', 0 otherwise.
*/
int _PyUnicode_IsWhitespace(const Py_UCS4 ch)
{
switch (ch) {
case 0x0009:
case 0x000A:
case 0x000B:
case 0x000C:
case 0x000D:
case 0x001C:
case 0x001D:
case 0x001E:
case 0x001F:
case 0x0020:
case 0x0085:
case 0x00A0:
case 0x1680:
case 0x2000:
case 0x2001:
case 0x2002:
case 0x2003:
case 0x2004:
case 0x2005:
case 0x2006:
case 0x2007:
case 0x2008:
case 0x2009:
case 0x200A:
case 0x2028:
case 0x2029:
case 0x202F:
case 0x205F:
case 0x3000:
return 1;
}
return 0;
}
/* Returns 1 for Unicode characters having the line break
* property 'BK', 'CR', 'LF' or 'NL' or having bidirectional
* type 'B', 0 otherwise.
*/
int _PyUnicode_IsLinebreak(const Py_UCS4 ch)
{
switch (ch) {
case 0x000A:
case 0x000B:
case 0x000C:
case 0x000D:
case 0x001C:
case 0x001D:
case 0x001E:
case 0x0085:
case 0x2028:
case 0x2029:
return 1;
}
return 0;
}

/*
Unicode character type helpers.
Written by Marc-Andre Lemburg (mal@lemburg.com).
Modified for Python 2.0 by Fredrik Lundh (fredrik@pythonware.com)
Copyright (c) Corporation for National Research Initiatives.
*/
#include "Python.h"
#include "pycore_unicodectype.h"   // export _PyUnicode_IsXidStart(), _PyUnicode_IsXidContinue()
#define ALPHA_MASK 0x01
#define DECIMAL_MASK 0x02
#define DIGIT_MASK 0x04
#define LOWER_MASK 0x08
#define TITLE_MASK 0x40
#define UPPER_MASK 0x80
#define XID_START_MASK 0x100
#define XID_CONTINUE_MASK 0x200
#define PRINTABLE_MASK 0x400
#define NUMERIC_MASK 0x800
#define CASE_IGNORABLE_MASK 0x1000
#define CASED_MASK 0x2000
#define EXTENDED_CASE_MASK 0x4000
typedef struct {
/*
These are either deltas to the character or offsets in
_PyUnicode_ExtendedCase.
*/
const int upper;
const int lower;
const int title;
/* Note if more flag space is needed, decimal and digit could be unified. */
const unsigned char decimal;
const unsigned char digit;
const unsigned short flags;
} _PyUnicode_TypeRecord;
#include "unicodetype_db.h"
static const _PyUnicode_TypeRecord *
gettyperecord(Py_UCS4 code)
{
int index;
if (code >= 0x110000)
index = 0;
else
{
index = index1[(code>>SHIFT)];
index = index2[(index<<SHIFT)+(code&((1<<SHIFT)-1))];
}
return &_PyUnicode_TypeRecords[index];
}
/* Returns the titlecase Unicode characters corresponding to ch or just
ch if no titlecase mapping is known. */
Py_UCS4 _PyUnicode_ToTitlecase(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK)
return _PyUnicode_ExtendedCase[ctype->title & 0xFFFF];
return ch + ctype->title;
}
/* Returns 1 for Unicode characters having the category 'Lt', 0
otherwise. */
int _PyUnicode_IsTitlecase(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & TITLE_MASK) != 0;
}
/* Returns 1 for Unicode characters having the XID_Start property, 0
otherwise. */
int _PyUnicode_IsXidStart(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & XID_START_MASK) != 0;
}
/* Returns 1 for Unicode characters having the XID_Continue property,
0 otherwise. */
int _PyUnicode_IsXidContinue(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & XID_CONTINUE_MASK) != 0;
}
/* Returns the integer decimal (0-9) for Unicode characters having
this property, -1 otherwise. */
int _PyUnicode_ToDecimalDigit(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & DECIMAL_MASK) ? ctype->decimal : -1;
}
int _PyUnicode_IsDecimalDigit(Py_UCS4 ch)
{
if (_PyUnicode_ToDecimalDigit(ch) < 0)
return 0;
return 1;
}
/* Returns the integer digit (0-9) for Unicode characters having
this property, -1 otherwise. */
int _PyUnicode_ToDigit(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & DIGIT_MASK) ? ctype->digit : -1;
}
int _PyUnicode_IsDigit(Py_UCS4 ch)
{
if (_PyUnicode_ToDigit(ch) < 0)
return 0;
return 1;
}
/* Returns the numeric value as double for Unicode characters having
this property, -1.0 otherwise. */
int _PyUnicode_IsNumeric(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & NUMERIC_MASK) != 0;
}
/* Returns 1 for Unicode characters that repr() may use in its output,
and 0 for characters to be hex-escaped.
See documentation of `str.isprintable` for details.
*/
int _PyUnicode_IsPrintable(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & PRINTABLE_MASK) != 0;
}
/* Returns 1 for Unicode characters having the category 'Ll', 0
otherwise. */
int _PyUnicode_IsLowercase(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & LOWER_MASK) != 0;
}
/* Returns 1 for Unicode characters having the category 'Lu', 0
otherwise. */
int _PyUnicode_IsUppercase(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & UPPER_MASK) != 0;
}
/* Returns the uppercase Unicode characters corresponding to ch or just
ch if no uppercase mapping is known. */
Py_UCS4 _PyUnicode_ToUppercase(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK)
return _PyUnicode_ExtendedCase[ctype->upper & 0xFFFF];
return ch + ctype->upper;
}
/* Returns the lowercase Unicode characters corresponding to ch or just
ch if no lowercase mapping is known. */
Py_UCS4 _PyUnicode_ToLowercase(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK)
return _PyUnicode_ExtendedCase[ctype->lower & 0xFFFF];
return ch + ctype->lower;
}
int _PyUnicode_ToLowerFull(Py_UCS4 ch, Py_UCS4 *res)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK) {
int index = ctype->lower & 0xFFFF;
int n = ctype->lower >> 24;
int i;
for (i = 0; i < n; i++)
res[i] = _PyUnicode_ExtendedCase[index + i];
return n;
}
res[0] = ch + ctype->lower;
return 1;
}
int _PyUnicode_ToTitleFull(Py_UCS4 ch, Py_UCS4 *res)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK) {
int index = ctype->title & 0xFFFF;
int n = ctype->title >> 24;
int i;
for (i = 0; i < n; i++)
res[i] = _PyUnicode_ExtendedCase[index + i];
return n;
}
res[0] = ch + ctype->title;
return 1;
}
int _PyUnicode_ToUpperFull(Py_UCS4 ch, Py_UCS4 *res)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK) {
int index = ctype->upper & 0xFFFF;
int n = ctype->upper >> 24;
int i;
for (i = 0; i < n; i++)
res[i] = _PyUnicode_ExtendedCase[index + i];
return n;
}
res[0] = ch + ctype->upper;
return 1;
}
int _PyUnicode_ToFoldedFull(Py_UCS4 ch, Py_UCS4 *res)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
if (ctype->flags & EXTENDED_CASE_MASK && (ctype->lower >> 20) & 7) {
int index = (ctype->lower & 0xFFFF) + (ctype->lower >> 24);
int n = (ctype->lower >> 20) & 7;
int i;
for (i = 0; i < n; i++)
res[i] = _PyUnicode_ExtendedCase[index + i];
return n;
}
return _PyUnicode_ToLowerFull(ch, res);
}
int _PyUnicode_IsCased(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & CASED_MASK) != 0;
}
int _PyUnicode_IsCaseIgnorable(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & CASE_IGNORABLE_MASK) != 0;
}
/* Returns 1 for Unicode characters having the category 'Ll', 'Lu', 'Lt',
'Lo' or 'Lm',  0 otherwise. */
int _PyUnicode_IsAlpha(Py_UCS4 ch)
{
const _PyUnicode_TypeRecord *ctype = gettyperecord(ch);
return (ctype->flags & ALPHA_MASK) != 0;
}

#!/usr/bin/python
# Usage: typeslots.py < Include/typeslots.h typeslots.inc
import sys, re
def generate_typeslots(out=sys.stdout):
out.write("/* Generated by typeslots.py */\n")
res = {}
for line in sys.stdin:
m = re.match("#define Py_([a-z_]+) ([0-9]+)", line)
if not m:
continue
member = m.group(1)
if member == "tp_token":
# The heap type structure (ht_*) is an implementation detail;
# the public slot for it has a familiar `tp_` prefix
member = '{-1, offsetof(PyHeapTypeObject, ht_token)}'
elif member.startswith("tp_"):
member = f'{{-1, offsetof(PyTypeObject, {member})}}'
elif member.startswith("am_"):
member = (f'{{offsetof(PyAsyncMethods, {member}),'+
' offsetof(PyTypeObject, tp_as_async)}')
elif member.startswith("nb_"):
member = (f'{{offsetof(PyNumberMethods, {member}),'+
' offsetof(PyTypeObject, tp_as_number)}')
elif member.startswith("mp_"):
member = (f'{{offsetof(PyMappingMethods, {member}),'+
' offsetof(PyTypeObject, tp_as_mapping)}')
elif member.startswith("sq_"):
member = (f'{{offsetof(PySequenceMethods, {member}),'+
' offsetof(PyTypeObject, tp_as_sequence)}')
elif member.startswith("bf_"):
member = (f'{{offsetof(PyBufferProcs, {member}),'+
' offsetof(PyTypeObject, tp_as_buffer)}')
res[int(m.group(2))] = member
M = max(res.keys())+1
for i in range(1,M):
if i in res:
out.write("%s,\n" % res[i])
else:
out.write("{0, 0},\n")
def main():
if len(sys.argv) == 2:
with open(sys.argv[1], "w") as f:
generate_typeslots(f)
else:
generate_typeslots()
if __name__ == "__main__":
main()

/* Wrap void * pointers to be passed between C modules */
#include "Python.h"
#include "pycore_capsule.h"       // export _PyCapsule_SetTraverse()
#include "pycore_gc.h"            // _PyObject_GC_IS_TRACKED()
#include "pycore_object.h"        // _PyObject_GC_TRACK()
/* Internal structure of PyCapsule */
typedef struct {
PyObject_HEAD
void *pointer;
const char *name;
void *context;
PyCapsule_Destructor destructor;
traverseproc traverse_func;
inquiry clear_func;
} PyCapsule;
#define _PyCapsule_CAST(op)     ((PyCapsule *)(op))
static int
_is_legal_capsule(PyObject *op, const char *invalid_capsule)
{
if (!op || !PyCapsule_CheckExact(op)) {
goto error;
}
PyCapsule *capsule = (PyCapsule *)op;
if (capsule->pointer == NULL) {
goto error;
}
return 1;
error:
PyErr_SetString(PyExc_ValueError, invalid_capsule);
return 0;
}
#define is_legal_capsule(capsule, name) \
(_is_legal_capsule(capsule, \
name " called with invalid PyCapsule object"))
static int
name_matches(const char *name1, const char *name2) {
/* if either is NULL, */
if (!name1 || !name2) {
/* they're only the same if they're both NULL. */
return name1 == name2;
}
return !strcmp(name1, name2);
}
PyObject *
PyCapsule_New(void *pointer, const char *name, PyCapsule_Destructor destructor)
{
PyCapsule *capsule;
if (!pointer) {
PyErr_SetString(PyExc_ValueError, "PyCapsule_New called with null pointer");
return NULL;
}
capsule = PyObject_GC_New(PyCapsule, &PyCapsule_Type);
if (capsule == NULL) {
return NULL;
}
capsule->pointer = pointer;
capsule->name = name;
capsule->context = NULL;
capsule->destructor = destructor;
capsule->traverse_func = NULL;
capsule->clear_func = NULL;
// Only track the object by the GC when _PyCapsule_SetTraverse() is called
return (PyObject *)capsule;
}
int
PyCapsule_IsValid(PyObject *op, const char *name)
{
PyCapsule *capsule = (PyCapsule *)op;
return (capsule != NULL &&
PyCapsule_CheckExact(capsule) &&
capsule->pointer != NULL &&
name_matches(capsule->name, name));
}
void *
PyCapsule_GetPointer(PyObject *op, const char *name)
{
if (!is_legal_capsule(op, "PyCapsule_GetPointer")) {
return NULL;
}
PyCapsule *capsule = (PyCapsule *)op;
if (!name_matches(name, capsule->name)) {
PyErr_SetString(PyExc_ValueError, "PyCapsule_GetPointer called with incorrect name");
return NULL;
}
return capsule->pointer;
}
const char *
PyCapsule_GetName(PyObject *op)
{
if (!is_legal_capsule(op, "PyCapsule_GetName")) {
return NULL;
}
PyCapsule *capsule = (PyCapsule *)op;
return capsule->name;
}
PyCapsule_Destructor
PyCapsule_GetDestructor(PyObject *op)
{
if (!is_legal_capsule(op, "PyCapsule_GetDestructor")) {
return NULL;
}
PyCapsule *capsule = (PyCapsule *)op;
return capsule->destructor;
}
void *
PyCapsule_GetContext(PyObject *op)
{
if (!is_legal_capsule(op, "PyCapsule_GetContext")) {
return NULL;
}
PyCapsule *capsule = (PyCapsule *)op;
return capsule->context;
}
int
PyCapsule_SetPointer(PyObject *op, void *pointer)
{
if (!is_legal_capsule(op, "PyCapsule_SetPointer")) {
return -1;
}
PyCapsule *capsule = (PyCapsule *)op;
if (!pointer) {
PyErr_SetString(PyExc_ValueError, "PyCapsule_SetPointer called with null pointer");
return -1;
}
capsule->pointer = pointer;
return 0;
}
int
PyCapsule_SetName(PyObject *op, const char *name)
{
if (!is_legal_capsule(op, "PyCapsule_SetName")) {
return -1;
}
PyCapsule *capsule = (PyCapsule *)op;
capsule->name = name;
return 0;
}
int
PyCapsule_SetDestructor(PyObject *op, PyCapsule_Destructor destructor)
{
if (!is_legal_capsule(op, "PyCapsule_SetDestructor")) {
return -1;
}
PyCapsule *capsule = (PyCapsule *)op;
capsule->destructor = destructor;
return 0;
}
int
PyCapsule_SetContext(PyObject *op, void *context)
{
if (!is_legal_capsule(op, "PyCapsule_SetContext")) {
return -1;
}
PyCapsule *capsule = (PyCapsule *)op;
capsule->context = context;
return 0;
}
int
_PyCapsule_SetTraverse(PyObject *op, traverseproc traverse_func, inquiry clear_func)
{
if (!is_legal_capsule(op, "_PyCapsule_SetTraverse")) {
return -1;
}
PyCapsule *capsule = (PyCapsule *)op;
if (traverse_func == NULL || clear_func == NULL) {
PyErr_SetString(PyExc_ValueError,
"_PyCapsule_SetTraverse() called with NULL callback");
return -1;
}
if (!_PyObject_GC_IS_TRACKED(op)) {
_PyObject_GC_TRACK(op);
}
capsule->traverse_func = traverse_func;
capsule->clear_func = clear_func;
return 0;
}
void *
PyCapsule_Import(const char *name, int no_block)
{
PyObject *object = NULL;
void *return_value = NULL;
char *trace;
size_t name_length = (strlen(name) + 1) * sizeof(char);
char *name_dup = (char *)PyMem_Malloc(name_length);
if (!name_dup) {
return PyErr_NoMemory();
}
memcpy(name_dup, name, name_length);
trace = name_dup;
while (trace) {
char *dot = strchr(trace, '.');
if (dot) {
*dot++ = '\0';
}
if (object == NULL) {
object = PyImport_ImportModule(trace);
if (!object) {
PyErr_Format(PyExc_ImportError, "PyCapsule_Import could not import module \"%s\"", trace);
}
} else {
PyObject *object2 = PyObject_GetAttrString(object, trace);
Py_SETREF(object, object2);
}
if (!object) {
goto EXIT;
}
trace = dot;
}
/* compare attribute name to module.name by hand */
if (PyCapsule_IsValid(object, name)) {
PyCapsule *capsule = (PyCapsule *)object;
return_value = capsule->pointer;
} else {
PyErr_Format(PyExc_AttributeError,
"PyCapsule_Import \"%s\" is not valid",
name);
}
EXIT:
Py_XDECREF(object);
if (name_dup) {
PyMem_Free(name_dup);
}
return return_value;
}
static void
capsule_dealloc(PyObject *op)
{
PyCapsule *capsule = _PyCapsule_CAST(op);
PyObject_GC_UnTrack(op);
if (capsule->destructor) {
capsule->destructor(op);
}
PyObject_GC_Del(op);
}
static PyObject *
capsule_repr(PyObject *o)
{
PyCapsule *capsule = _PyCapsule_CAST(o);
const char *name;
const char *quote;
if (capsule->name) {
quote = "\"";
name = capsule->name;
} else {
quote = "";
name = "NULL";
}
return PyUnicode_FromFormat("<capsule object %s%s%s at %p>",
quote, name, quote, capsule);
}
static int
capsule_traverse(PyObject *self, visitproc visit, void *arg)
{
// Capsule object is only tracked by the GC
// if _PyCapsule_SetTraverse() is called, but
// this can still be manually triggered by gc.get_referents()
PyCapsule *capsule = _PyCapsule_CAST(self);
if (capsule->traverse_func != NULL) {
return capsule->traverse_func(self, visit, arg);
}
return 0;
}
static int
capsule_clear(PyObject *self)
{
// Capsule object is only tracked by the GC
// if _PyCapsule_SetTraverse() is called
PyCapsule *capsule = _PyCapsule_CAST(self);
assert(capsule->clear_func != NULL);
return capsule->clear_func(self);
}
PyDoc_STRVAR(PyCapsule_Type__doc__,
"Capsule objects let you wrap a C \"void *\" pointer in a Python\n\
object.  They're a way of passing data through the Python interpreter\n\
without creating your own custom type.\n\
\n\
Capsules are used for communication between extension modules.\n\
They provide a way for an extension module to export a C interface\n\
to other extension modules, so that extension modules can use the\n\
Python import mechanism to link to one another.\n\
");
PyTypeObject PyCapsule_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "PyCapsule",
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
.tp_basicsize = sizeof(PyCapsule),
.tp_dealloc = capsule_dealloc,
.tp_repr = capsule_repr,
.tp_doc = PyCapsule_Type__doc__,
.tp_traverse = capsule_traverse,
.tp_clear = capsule_clear,
};

// typing.Union -- used to represent e.g. Union[int, str], int | str
#include "Python.h"
#include "pycore_object.h"  // _PyObject_GC_TRACK/UNTRACK
#include "pycore_typevarobject.h"  // _PyTypeAlias_Type, _Py_typing_type_repr
#include "pycore_unicodeobject.h" // _PyUnicode_EqualToASCIIString
#include "pycore_unionobject.h"
#include "pycore_weakref.h"       // FT_CLEAR_WEAKREFS()
typedef struct {
PyObject_HEAD
PyObject *args;  // all args (tuple)
PyObject *hashable_args;  // frozenset or NULL
PyObject *unhashable_args;  // tuple or NULL
PyObject *parameters;
PyObject *weakreflist;
} unionobject;
static void
unionobject_dealloc(PyObject *self)
{
unionobject *alias = (unionobject *)self;
_PyObject_GC_UNTRACK(self);
FT_CLEAR_WEAKREFS(self, alias->weakreflist);
Py_XDECREF(alias->args);
Py_XDECREF(alias->hashable_args);
Py_XDECREF(alias->unhashable_args);
Py_XDECREF(alias->parameters);
Py_TYPE(self)->tp_free(self);
}
static int
union_traverse(PyObject *self, visitproc visit, void *arg)
{
unionobject *alias = (unionobject *)self;
Py_VISIT(alias->args);
Py_VISIT(alias->hashable_args);
Py_VISIT(alias->unhashable_args);
Py_VISIT(alias->parameters);
return 0;
}
static Py_hash_t
union_hash(PyObject *self)
{
unionobject *alias = (unionobject *)self;
// If there are any unhashable args, treat this union as unhashable.
// Otherwise, two unions might compare equal but have different hashes.
if (alias->unhashable_args) {
// Attempt to get an error from one of the values.
assert(PyTuple_CheckExact(alias->unhashable_args));
Py_ssize_t n = PyTuple_GET_SIZE(alias->unhashable_args);
for (Py_ssize_t i = 0; i < n; i++) {
PyObject *arg = PyTuple_GET_ITEM(alias->unhashable_args, i);
Py_hash_t hash = PyObject_Hash(arg);
if (hash == -1) {
return -1;
}
}
// The unhashable values somehow became hashable again. Still raise
// an error.
PyErr_Format(PyExc_TypeError, "union contains %d unhashable elements", n);
return -1;
}
return PyObject_Hash(alias->hashable_args);
}
static int
unions_equal(unionobject *a, unionobject *b)
{
int result = PyObject_RichCompareBool(a->hashable_args, b->hashable_args, Py_EQ);
if (result == -1) {
return -1;
}
if (result == 0) {
return 0;
}
if (a->unhashable_args && b->unhashable_args) {
Py_ssize_t n = PyTuple_GET_SIZE(a->unhashable_args);
if (n != PyTuple_GET_SIZE(b->unhashable_args)) {
return 0;
}
for (Py_ssize_t i = 0; i < n; i++) {
PyObject *arg_a = PyTuple_GET_ITEM(a->unhashable_args, i);
int result = PySequence_Contains(b->unhashable_args, arg_a);
if (result == -1) {
return -1;
}
if (!result) {
return 0;
}
}
for (Py_ssize_t i = 0; i < n; i++) {
PyObject *arg_b = PyTuple_GET_ITEM(b->unhashable_args, i);
int result = PySequence_Contains(a->unhashable_args, arg_b);
if (result == -1) {
return -1;
}
if (!result) {
return 0;
}
}
}
else if (a->unhashable_args || b->unhashable_args) {
return 0;
}
return 1;
}
static PyObject *
union_richcompare(PyObject *a, PyObject *b, int op)
{
if (!_PyUnion_Check(b) || (op != Py_EQ && op != Py_NE)) {
Py_RETURN_NOTIMPLEMENTED;
}
int equal = unions_equal((unionobject*)a, (unionobject*)b);
if (equal == -1) {
return NULL;
}
if (op == Py_EQ) {
return PyBool_FromLong(equal);
}
else {
return PyBool_FromLong(!equal);
}
}
typedef struct {
PyObject *args;  // list
PyObject *hashable_args;  // set
PyObject *unhashable_args;  // list or NULL
bool is_checked;  // whether to call type_check()
} unionbuilder;
static bool unionbuilder_add_tuple(unionbuilder *, PyObject *);
static PyObject *make_union(unionbuilder *);
static PyObject *type_check(PyObject *, const char *);
static bool
unionbuilder_init(unionbuilder *ub, bool is_checked)
{
ub->args = PyList_New(0);
if (ub->args == NULL) {
return false;
}
ub->hashable_args = PySet_New(NULL);
if (ub->hashable_args == NULL) {
Py_DECREF(ub->args);
return false;
}
ub->unhashable_args = NULL;
ub->is_checked = is_checked;
return true;
}
static void
unionbuilder_finalize(unionbuilder *ub)
{
Py_DECREF(ub->args);
Py_DECREF(ub->hashable_args);
Py_XDECREF(ub->unhashable_args);
}
static bool
unionbuilder_add_single_unchecked(unionbuilder *ub, PyObject *arg)
{
Py_hash_t hash = PyObject_Hash(arg);
if (hash == -1) {
PyErr_Clear();
if (ub->unhashable_args == NULL) {
ub->unhashable_args = PyList_New(0);
if (ub->unhashable_args == NULL) {
return false;
}
}
else {
int contains = PySequence_Contains(ub->unhashable_args, arg);
if (contains < 0) {
return false;
}
if (contains == 1) {
return true;
}
}
if (PyList_Append(ub->unhashable_args, arg) < 0) {
return false;
}
}
else {
int contains = PySet_Contains(ub->hashable_args, arg);
if (contains < 0) {
return false;
}
if (contains == 1) {
return true;
}
if (PySet_Add(ub->hashable_args, arg) < 0) {
return false;
}
}
return PyList_Append(ub->args, arg) == 0;
}
static bool
unionbuilder_add_single(unionbuilder *ub, PyObject *arg)
{
if (Py_IsNone(arg)) {
arg = (PyObject *)&_PyNone_Type;  // immortal, so no refcounting needed
}
else if (_PyUnion_Check(arg)) {
PyObject *args = ((unionobject *)arg)->args;
return unionbuilder_add_tuple(ub, args);
}
if (ub->is_checked) {
PyObject *type = type_check(arg, "Union[arg, ...]: each arg must be a type.");
if (type == NULL) {
return false;
}
bool result = unionbuilder_add_single_unchecked(ub, type);
Py_DECREF(type);
return result;
}
else {
return unionbuilder_add_single_unchecked(ub, arg);
}
}
static bool
unionbuilder_add_tuple(unionbuilder *ub, PyObject *tuple)
{
Py_ssize_t n = PyTuple_GET_SIZE(tuple);
for (Py_ssize_t i = 0; i < n; i++) {
if (!unionbuilder_add_single(ub, PyTuple_GET_ITEM(tuple, i))) {
return false;
}
}
return true;
}
static int
is_unionable(PyObject *obj)
{
if (obj == Py_None ||
PyType_Check(obj) ||
_PyGenericAlias_Check(obj) ||
_PyUnion_Check(obj) ||
Py_IS_TYPE(obj, &_PyTypeAlias_Type)) {
return 1;
}
return 0;
}
PyObject *
_Py_union_type_or(PyObject* self, PyObject* other)
{
if (!is_unionable(self) || !is_unionable(other)) {
Py_RETURN_NOTIMPLEMENTED;
}
unionbuilder ub;
// unchecked because we already checked is_unionable()
if (!unionbuilder_init(&ub, false)) {
return NULL;
}
if (!unionbuilder_add_single(&ub, self) ||
!unionbuilder_add_single(&ub, other)) {
unionbuilder_finalize(&ub);
return NULL;
}
PyObject *new_union = make_union(&ub);
return new_union;
}
static PyObject *
union_repr(PyObject *self)
{
unionobject *alias = (unionobject *)self;
Py_ssize_t len = PyTuple_GET_SIZE(alias->args);
// Shortest type name "int" (3 chars) + " | " (3 chars) separator
Py_ssize_t estimate = (len <= PY_SSIZE_T_MAX / 6) ? len * 6 : len;
PyUnicodeWriter *writer = PyUnicodeWriter_Create(estimate);
if (writer == NULL) {
return NULL;
}
for (Py_ssize_t i = 0; i < len; i++) {
if (i > 0 && PyUnicodeWriter_WriteASCII(writer, " | ", 3) < 0) {
goto error;
}
PyObject *p = PyTuple_GET_ITEM(alias->args, i);
if (_Py_typing_type_repr(writer, p) < 0) {
goto error;
}
}
#if 0
PyUnicodeWriter_WriteASCII(writer, "|args=", 6);
PyUnicodeWriter_WriteRepr(writer, alias->args);
PyUnicodeWriter_WriteASCII(writer, "|h=", 3);
PyUnicodeWriter_WriteRepr(writer, alias->hashable_args);
if (alias->unhashable_args) {
PyUnicodeWriter_WriteASCII(writer, "|u=", 3);
PyUnicodeWriter_WriteRepr(writer, alias->unhashable_args);
}
#endif
return PyUnicodeWriter_Finish(writer);
error:
PyUnicodeWriter_Discard(writer);
return NULL;
}
static PyMemberDef union_members[] = {
{"__args__", _Py_T_OBJECT, offsetof(unionobject, args), Py_READONLY},
{0}
};
// Populate __parameters__ if needed.
static int
union_init_parameters(unionobject *alias)
{
int result = 0;
Py_BEGIN_CRITICAL_SECTION(alias);
if (alias->parameters == NULL) {
alias->parameters = _Py_make_parameters(alias->args);
if (alias->parameters == NULL) {
result = -1;
}
}
Py_END_CRITICAL_SECTION();
return result;
}
static PyObject *
union_getitem(PyObject *self, PyObject *item)
{
unionobject *alias = (unionobject *)self;
if (union_init_parameters(alias) < 0) {
return NULL;
}
PyObject *newargs = _Py_subs_parameters(self, alias->args, alias->parameters, item);
if (newargs == NULL) {
return NULL;
}
PyObject *res = _Py_union_from_tuple(newargs);
Py_DECREF(newargs);
return res;
}
static PyMappingMethods union_as_mapping = {
.mp_subscript = union_getitem,
};
static PyObject *
union_parameters(PyObject *self, void *Py_UNUSED(unused))
{
unionobject *alias = (unionobject *)self;
if (union_init_parameters(alias) < 0) {
return NULL;
}
return Py_NewRef(alias->parameters);
}
static PyObject *
union_name(PyObject *Py_UNUSED(self), void *Py_UNUSED(ignored))
{
return PyUnicode_FromString("Union");
}
static PyObject *
union_origin(PyObject *Py_UNUSED(self), void *Py_UNUSED(ignored))
{
return Py_NewRef(&_PyUnion_Type);
}
static PyGetSetDef union_properties[] = {
{"__name__", union_name, NULL,
PyDoc_STR("Name of the type"), NULL},
{"__qualname__", union_name, NULL,
PyDoc_STR("Qualified name of the type"), NULL},
{"__origin__", union_origin, NULL,
PyDoc_STR("Always returns the type"), NULL},
{"__parameters__", union_parameters, NULL,
PyDoc_STR("Type variables in the types.UnionType."), NULL},
{0}
};
static PyObject *
union_nb_or(PyObject *a, PyObject *b)
{
unionbuilder ub;
if (!unionbuilder_init(&ub, true)) {
return NULL;
}
if (!unionbuilder_add_single(&ub, a) ||
!unionbuilder_add_single(&ub, b)) {
unionbuilder_finalize(&ub);
return NULL;
}
return make_union(&ub);
}
static PyNumberMethods union_as_number = {
.nb_or = union_nb_or, // Add __or__ function
};
static const char* const cls_attrs[] = {
"__module__",  // Required for compatibility with typing module
NULL,
};
static PyObject *
union_getattro(PyObject *self, PyObject *name)
{
unionobject *alias = (unionobject *)self;
if (PyUnicode_Check(name)) {
for (const char * const *p = cls_attrs; ; p++) {
if (*p == NULL) {
break;
}
if (_PyUnicode_EqualToASCIIString(name, *p)) {
return PyObject_GetAttr((PyObject *) Py_TYPE(alias), name);
}
}
}
return PyObject_GenericGetAttr(self, name);
}
PyObject *
_Py_union_args(PyObject *self)
{
assert(_PyUnion_Check(self));
return ((unionobject *) self)->args;
}
static PyObject *
call_typing_func_object(const char *name, PyObject **args, size_t nargs)
{
PyObject *typing = PyImport_ImportModule("typing");
if (typing == NULL) {
return NULL;
}
PyObject *func = PyObject_GetAttrString(typing, name);
if (func == NULL) {
Py_DECREF(typing);
return NULL;
}
PyObject *result = PyObject_Vectorcall(func, args, nargs, NULL);
Py_DECREF(func);
Py_DECREF(typing);
return result;
}
static PyObject *
type_check(PyObject *arg, const char *msg)
{
if (Py_IsNone(arg)) {
// NoneType is immortal, so don't need an INCREF
return (PyObject *)Py_TYPE(arg);
}
// Fast path to avoid calling into typing.py
if (is_unionable(arg)) {
return Py_NewRef(arg);
}
PyObject *message_str = PyUnicode_FromString(msg);
if (message_str == NULL) {
return NULL;
}
PyObject *args[2] = {arg, message_str};
PyObject *result = call_typing_func_object("_type_check", args, 2);
Py_DECREF(message_str);
return result;
}
PyObject *
_Py_union_from_tuple(PyObject *args)
{
unionbuilder ub;
if (!unionbuilder_init(&ub, true)) {
return NULL;
}
if (PyTuple_CheckExact(args)) {
if (!unionbuilder_add_tuple(&ub, args)) {
unionbuilder_finalize(&ub);
return NULL;
}
}
else {
if (!unionbuilder_add_single(&ub, args)) {
unionbuilder_finalize(&ub);
return NULL;
}
}
return make_union(&ub);
}
static PyObject *
union_class_getitem(PyObject *cls, PyObject *args)
{
return _Py_union_from_tuple(args);
}
static PyObject *
union_mro_entries(PyObject *self, PyObject *args)
{
return PyErr_Format(PyExc_TypeError,
"Cannot subclass %R", self);
}
static PyMethodDef union_methods[] = {
{"__mro_entries__", union_mro_entries, METH_O},
{"__class_getitem__", union_class_getitem, METH_O|METH_CLASS, PyDoc_STR("See PEP 585")},
{0}
};
PyTypeObject _PyUnion_Type = {
PyVarObject_HEAD_INIT(&PyType_Type, 0)
.tp_name = "typing.Union",
.tp_doc = PyDoc_STR("Represent a union type\n"
"\n"
"E.g. for int | str"),
.tp_basicsize = sizeof(unionobject),
.tp_dealloc = unionobject_dealloc,
.tp_alloc = PyType_GenericAlloc,
.tp_free = PyObject_GC_Del,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
.tp_traverse = union_traverse,
.tp_hash = union_hash,
.tp_getattro = union_getattro,
.tp_members = union_members,
.tp_methods = union_methods,
.tp_richcompare = union_richcompare,
.tp_as_mapping = &union_as_mapping,
.tp_as_number = &union_as_number,
.tp_repr = union_repr,
.tp_getset = union_properties,
.tp_weaklistoffset = offsetof(unionobject, weakreflist),
};
static PyObject *
make_union(unionbuilder *ub)
{
Py_ssize_t n = PyList_GET_SIZE(ub->args);
if (n == 0) {
PyErr_SetString(PyExc_TypeError, "Cannot take a Union of no types.");
unionbuilder_finalize(ub);
return NULL;
}
if (n == 1) {
PyObject *result = PyList_GET_ITEM(ub->args, 0);
Py_INCREF(result);
unionbuilder_finalize(ub);
return result;
}
PyObject *args = NULL, *hashable_args = NULL, *unhashable_args = NULL;
args = PyList_AsTuple(ub->args);
if (args == NULL) {
goto error;
}
hashable_args = PyFrozenSet_New(ub->hashable_args);
if (hashable_args == NULL) {
goto error;
}
if (ub->unhashable_args != NULL) {
unhashable_args = PyList_AsTuple(ub->unhashable_args);
if (unhashable_args == NULL) {
goto error;
}
}
unionobject *result = PyObject_GC_New(unionobject, &_PyUnion_Type);
if (result == NULL) {
goto error;
}
unionbuilder_finalize(ub);
result->parameters = NULL;
result->args = args;
result->hashable_args = hashable_args;
result->unhashable_args = unhashable_args;
result->weakreflist = NULL;
_PyObject_GC_TRACK(result);
return (PyObject*)result;
error:
Py_XDECREF(args);
Py_XDECREF(hashable_args);
Py_XDECREF(unhashable_args);
unionbuilder_finalize(ub);
return NULL;
}

/* t-string Interpolation object implementation */
#include "Python.h"
#include "pycore_initconfig.h"    // _PyStatus_OK
#include "pycore_interpolation.h"
#include "pycore_typeobject.h"    // _PyType_GetDict
static int
_conversion_converter(PyObject *arg, PyObject **conversion)
{
if (arg == Py_None) {
return 1;
}
if (!PyUnicode_Check(arg)) {
PyErr_Format(PyExc_TypeError,
"Interpolation() argument 'conversion' must be str, not %T",
arg);
return 0;
}
Py_ssize_t len;
const char *conv_str = PyUnicode_AsUTF8AndSize(arg, &len);
if (len != 1 || !(conv_str[0] == 'a' || conv_str[0] == 'r' || conv_str[0] == 's')) {
PyErr_SetString(PyExc_ValueError,
"Interpolation() argument 'conversion' must be one of 's', 'a' or 'r'");
return 0;
}
*conversion = arg;
return 1;
}
#include "clinic/interpolationobject.c.h"
/*[clinic input]
class Interpolation "interpolationobject *" "&_PyInterpolation_Type"
[clinic start generated code]*/
/*[clinic end generated code: output=da39a3ee5e6b4b0d input=161c64a16f9c4544]*/
typedef struct {
PyObject_HEAD
PyObject *value;
PyObject *expression;
PyObject *conversion;
PyObject *format_spec;
} interpolationobject;
#define interpolationobject_CAST(op) \
(assert(_PyInterpolation_CheckExact(op)), _Py_CAST(interpolationobject*, (op)))
/*[clinic input]
@classmethod
Interpolation.__new__ as interpolation_new
value: object
expression: object(subclass_of='&PyUnicode_Type', c_default='&_Py_STR(empty)') = ""
conversion: object(converter='_conversion_converter') = None
format_spec: object(subclass_of='&PyUnicode_Type', c_default='&_Py_STR(empty)') = ""
[clinic start generated code]*/
static PyObject *
interpolation_new_impl(PyTypeObject *type, PyObject *value,
PyObject *expression, PyObject *conversion,
PyObject *format_spec)
/*[clinic end generated code: output=6488e288765bc1a9 input=fc5c285c1dd23d36]*/
{
interpolationobject *self = PyObject_GC_New(interpolationobject, type);
if (!self) {
return NULL;
}
self->value = Py_NewRef(value);
self->expression = Py_NewRef(expression);
self->conversion = Py_NewRef(conversion);
self->format_spec = Py_NewRef(format_spec);
PyObject_GC_Track(self);
return (PyObject *) self;
}
static void
interpolation_dealloc(PyObject *op)
{
PyObject_GC_UnTrack(op);
Py_TYPE(op)->tp_clear(op);
Py_TYPE(op)->tp_free(op);
}
static int
interpolation_clear(PyObject *op)
{
interpolationobject *self = interpolationobject_CAST(op);
Py_CLEAR(self->value);
Py_CLEAR(self->expression);
Py_CLEAR(self->conversion);
Py_CLEAR(self->format_spec);
return 0;
}
static int
interpolation_traverse(PyObject *op, visitproc visit, void *arg)
{
interpolationobject *self = interpolationobject_CAST(op);
Py_VISIT(self->value);
Py_VISIT(self->expression);
Py_VISIT(self->conversion);
Py_VISIT(self->format_spec);
return 0;
}
static PyObject *
interpolation_repr(PyObject *op)
{
interpolationobject *self = interpolationobject_CAST(op);
return PyUnicode_FromFormat("%s(%R, %R, %R, %R)",
_PyType_Name(Py_TYPE(self)), self->value, self->expression,
self->conversion, self->format_spec);
}
static PyMemberDef interpolation_members[] = {
{"value", Py_T_OBJECT_EX, offsetof(interpolationobject, value), Py_READONLY, "Value"},
{"expression", Py_T_OBJECT_EX, offsetof(interpolationobject, expression), Py_READONLY, "Expression"},
{"conversion", Py_T_OBJECT_EX, offsetof(interpolationobject, conversion), Py_READONLY, "Conversion"},
{"format_spec", Py_T_OBJECT_EX, offsetof(interpolationobject, format_spec), Py_READONLY, "Format specifier"},
{NULL}
};
static PyObject*
interpolation_reduce(PyObject *op, PyObject *Py_UNUSED(dummy))
{
interpolationobject *self = interpolationobject_CAST(op);
return Py_BuildValue("(O(OOOO))", (PyObject *)Py_TYPE(op),
self->value, self->expression,
self->conversion, self->format_spec);
}
static PyMethodDef interpolation_methods[] = {
{"__reduce__", interpolation_reduce, METH_NOARGS,
PyDoc_STR("__reduce__() -> (cls, state)")},
{"__class_getitem__", Py_GenericAlias,
METH_O|METH_CLASS, PyDoc_STR("See PEP 585")},
{NULL, NULL},
};
PyTypeObject _PyInterpolation_Type = {
PyVarObject_HEAD_INIT(NULL, 0)
.tp_name = "string.templatelib.Interpolation",
.tp_doc = PyDoc_STR("Interpolation object"),
.tp_basicsize = sizeof(interpolationobject),
.tp_itemsize = 0,
.tp_flags = Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
.tp_new = interpolation_new,
.tp_alloc = PyType_GenericAlloc,
.tp_dealloc = interpolation_dealloc,
.tp_clear = interpolation_clear,
.tp_free = PyObject_GC_Del,
.tp_repr = interpolation_repr,
.tp_members = interpolation_members,
.tp_methods = interpolation_methods,
.tp_traverse = interpolation_traverse,
};
PyStatus
_PyInterpolation_InitTypes(PyInterpreterState *interp)
{
PyObject *tuple = Py_BuildValue("(ssss)", "value", "expression", "conversion", "format_spec");
if (!tuple) {
goto error;
}
PyObject *dict = _PyType_GetDict(&_PyInterpolation_Type);
if (!dict) {
Py_DECREF(tuple);
goto error;
}
int status = PyDict_SetItemString(dict, "__match_args__", tuple);
Py_DECREF(tuple);
if (status < 0) {
goto error;
}
return _PyStatus_OK();
error:
return _PyStatus_ERR("Can't initialize interpolation types");
}
PyObject *
_PyInterpolation_Build(PyObject *value, PyObject *str, int conversion, PyObject *format_spec)
{
interpolationobject *interpolation = PyObject_GC_New(interpolationobject, &_PyInterpolation_Type);
if (!interpolation) {
return NULL;
}
interpolation->value = Py_NewRef(value);
interpolation->expression = Py_NewRef(str);
interpolation->format_spec = Py_NewRef(format_spec);
interpolation->conversion = NULL;
if (conversion == 0) {
interpolation->conversion = Py_None;
}
else {
switch (conversion) {
case FVC_ASCII:
interpolation->conversion = _Py_LATIN1_CHR('a');
break;
case FVC_REPR:
interpolation->conversion = _Py_LATIN1_CHR('r');
break;
case FVC_STR:
interpolation->conversion = _Py_LATIN1_CHR('s');
break;
default:
PyErr_SetString(PyExc_SystemError,
"Interpolation() argument 'conversion' must be one of 's', 'a' or 'r'");
Py_DECREF(interpolation);
return NULL;
}
}
PyObject_GC_Track(interpolation);
return (PyObject *) interpolation;
}
PyObject *
_PyInterpolation_GetValueRef(PyObject *interpolation)
{
return Py_NewRef(interpolationobject_CAST(interpolation)->value);
}

#include "Python.h"
#include "pycore_abstract.h"   // _PyIndex_Check()
#include "pycore_bytes_methods.h"
PyDoc_STRVAR_shared(_Py_isspace__doc__,
"B.isspace() -> bool\n\
\n\
Return True if all characters in B are whitespace\n\
and there is at least one character in B, False otherwise.");
PyObject*
_Py_bytes_isspace(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
/* Shortcut for single character strings */
if (len == 1 && Py_ISSPACE(*p))
Py_RETURN_TRUE;
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
for (; p < e; p++) {
if (!Py_ISSPACE(*p))
Py_RETURN_FALSE;
}
Py_RETURN_TRUE;
}
PyDoc_STRVAR_shared(_Py_isalpha__doc__,
"B.isalpha() -> bool\n\
\n\
Return True if all characters in B are alphabetic\n\
and there is at least one character in B, False otherwise.");
PyObject*
_Py_bytes_isalpha(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
/* Shortcut for single character strings */
if (len == 1 && Py_ISALPHA(*p))
Py_RETURN_TRUE;
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
for (; p < e; p++) {
if (!Py_ISALPHA(*p))
Py_RETURN_FALSE;
}
Py_RETURN_TRUE;
}
PyDoc_STRVAR_shared(_Py_isalnum__doc__,
"B.isalnum() -> bool\n\
\n\
Return True if all characters in B are alphanumeric\n\
and there is at least one character in B, False otherwise.");
PyObject*
_Py_bytes_isalnum(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
/* Shortcut for single character strings */
if (len == 1 && Py_ISALNUM(*p))
Py_RETURN_TRUE;
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
for (; p < e; p++) {
if (!Py_ISALNUM(*p))
Py_RETURN_FALSE;
}
Py_RETURN_TRUE;
}
PyDoc_STRVAR_shared(_Py_isdigit__doc__,
"B.isdigit() -> bool\n\
\n\
Return True if all characters in B are digits\n\
and there is at least one character in B, False otherwise.");
PyObject*
_Py_bytes_isdigit(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
/* Shortcut for single character strings */
if (len == 1 && Py_ISDIGIT(*p))
Py_RETURN_TRUE;
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
for (; p < e; p++) {
if (!Py_ISDIGIT(*p))
Py_RETURN_FALSE;
}
Py_RETURN_TRUE;
}
PyDoc_STRVAR_shared(_Py_islower__doc__,
"B.islower() -> bool\n\
\n\
Return True if all cased characters in B are lowercase and there is\n\
at least one cased character in B, False otherwise.");
PyObject*
_Py_bytes_islower(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
int cased;
/* Shortcut for single character strings */
if (len == 1)
return PyBool_FromLong(Py_ISLOWER(*p));
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
cased = 0;
for (; p < e; p++) {
if (Py_ISUPPER(*p))
Py_RETURN_FALSE;
else if (!cased && Py_ISLOWER(*p))
cased = 1;
}
return PyBool_FromLong(cased);
}
PyDoc_STRVAR_shared(_Py_isupper__doc__,
"B.isupper() -> bool\n\
\n\
Return True if all cased characters in B are uppercase and there is\n\
at least one cased character in B, False otherwise.");
PyObject*
_Py_bytes_isupper(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
int cased;
/* Shortcut for single character strings */
if (len == 1)
return PyBool_FromLong(Py_ISUPPER(*p));
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
cased = 0;
for (; p < e; p++) {
if (Py_ISLOWER(*p))
Py_RETURN_FALSE;
else if (!cased && Py_ISUPPER(*p))
cased = 1;
}
return PyBool_FromLong(cased);
}
PyDoc_STRVAR_shared(_Py_istitle__doc__,
"B.istitle() -> bool\n\
\n\
Return True if B is a titlecased string and there is at least one\n\
character in B, i.e. uppercase characters may only follow uncased\n\
characters and lowercase characters only cased ones. Return False\n\
otherwise.");
PyObject*
_Py_bytes_istitle(const char *cptr, Py_ssize_t len)
{
const unsigned char *p
= (const unsigned char *) cptr;
const unsigned char *e;
int cased, previous_is_cased;
if (len == 1) {
if (Py_ISUPPER(*p)) {
Py_RETURN_TRUE;
}
Py_RETURN_FALSE;
}
/* Special case for empty strings */
if (len == 0)
Py_RETURN_FALSE;
e = p + len;
cased = 0;
previous_is_cased = 0;
for (; p < e; p++) {
const unsigned char ch = *p;
if (Py_ISUPPER(ch)) {
if (previous_is_cased)
Py_RETURN_FALSE;
previous_is_cased = 1;
cased = 1;
}
else if (Py_ISLOWER(ch)) {
if (!previous_is_cased)
Py_RETURN_FALSE;
previous_is_cased = 1;
cased = 1;
}
else
previous_is_cased = 0;
}
return PyBool_FromLong(cased);
}
PyDoc_STRVAR_shared(_Py_lower__doc__,
"B.lower() -> copy of B\n\
\n\
Return a copy of B with all ASCII characters converted to lowercase.");
void
_Py_bytes_lower(char *result, const char *cptr, Py_ssize_t len)
{
Py_ssize_t i;
for (i = 0; i < len; i++) {
result[i] = Py_TOLOWER((unsigned char) cptr[i]);
}
}
PyDoc_STRVAR_shared(_Py_upper__doc__,
"B.upper() -> copy of B\n\
\n\
Return a copy of B with all ASCII characters converted to uppercase.");
void
_Py_bytes_upper(char *result, const char *cptr, Py_ssize_t len)
{
Py_ssize_t i;
for (i = 0; i < len; i++) {
result[i] = Py_TOUPPER((unsigned char) cptr[i]);
}
}
PyDoc_STRVAR_shared(_Py_title__doc__,
"B.title() -> copy of B\n\
\n\
Return a titlecased version of B, i.e. ASCII words start with uppercase\n\
characters, all remaining cased characters have lowercase.");
void
_Py_bytes_title(char *result, const char *s, Py_ssize_t len)
{
Py_ssize_t i;
int previous_is_cased = 0;
for (i = 0; i < len; i++) {
int c = Py_CHARMASK(*s++);
if (Py_ISLOWER(c)) {
if (!previous_is_cased)
c = Py_TOUPPER(c);
previous_is_cased = 1;
} else if (Py_ISUPPER(c)) {
if (previous_is_cased)
c = Py_TOLOWER(c);
previous_is_cased = 1;
} else
previous_is_cased = 0;
*result++ = c;
}
}
PyDoc_STRVAR_shared(_Py_capitalize__doc__,
"B.capitalize() -> copy of B\n\
\n\
Return a copy of B with only its first character capitalized (ASCII)\n\
and the rest lower-cased.");
void
_Py_bytes_capitalize(char *result, const char *s, Py_ssize_t len)
{
if (len > 0) {
*result = Py_TOUPPER(*s);
_Py_bytes_lower(result + 1, s + 1, len - 1);
}
}
PyDoc_STRVAR_shared(_Py_swapcase__doc__,
"B.swapcase() -> copy of B\n\
\n\
Return a copy of B with uppercase ASCII characters converted\n\
to lowercase ASCII and vice versa.");
void
_Py_bytes_swapcase(char *result, const char *s, Py_ssize_t len)
{
Py_ssize_t i;
for (i = 0; i < len; i++) {
int c = Py_CHARMASK(*s++);
if (Py_ISLOWER(c)) {
*result = Py_TOUPPER(c);
}
else if (Py_ISUPPER(c)) {
*result = Py_TOLOWER(c);
}
else
*result = c;
result++;
}
}
PyDoc_STRVAR_shared(_Py_maketrans__doc__,
"B.maketrans(frm, to) -> translation table\n\
\n\
Return a translation table (a bytes object of length 256) suitable\n\
for use in the bytes or bytearray translate method where each byte\n\
in frm is mapped to the byte at the same position in to.\n\
The bytes objects frm and to must be of the same length.");
PyObject *
_Py_bytes_maketrans(Py_buffer *frm, Py_buffer *to)
{
if (frm->len != to->len) {
PyErr_Format(PyExc_ValueError,
"maketrans arguments must have same length");
return NULL;
}
PyBytesWriter *writer = PyBytesWriter_Create(256);
if (!writer) {
return NULL;
}
char *p = PyBytesWriter_GetData(writer);
Py_ssize_t i;
for (i = 0; i < 256; i++)
p[i] = (char) i;
for (i = 0; i < frm->len; i++) {
p[((unsigned char *)frm->buf)[i]] = ((char *)to->buf)[i];
}
return PyBytesWriter_Finish(writer);
}
#define FASTSEARCH fastsearch
#define STRINGLIB(F) stringlib_##F
#define STRINGLIB_CHAR char
#define STRINGLIB_SIZEOF_CHAR 1
#define STRINGLIB_FAST_MEMCHR memchr
#include "stringlib/fastsearch.h"
#include "stringlib/count.h"
#include "stringlib/find.h"
#include "stringlib/find_max_char.h"
/*
Wraps stringlib_parse_args_finds() and additionally checks the first
argument type.
In case the first argument is a bytes-like object, sets it to subobj,
and doesn't touch the byte parameter.
In case it is an integer in range(0, 256), writes the integer value
to byte, and sets subobj to NULL.
The other parameters are similar to those of
stringlib_parse_args_finds().
*/
Py_LOCAL_INLINE(int)
parse_args_finds_byte(const char *function_name, PyObject **subobj, char *byte)
{
if (PyObject_CheckBuffer(*subobj)) {
return 1;
}
if (!_PyIndex_Check(*subobj)) {
PyErr_Format(PyExc_TypeError,
"argument should be integer or bytes-like object, "
"not '%.200s'",
Py_TYPE(*subobj)->tp_name);
return 0;
}
Py_ssize_t ival = PyNumber_AsSsize_t(*subobj, NULL);
if (ival == -1 && PyErr_Occurred()) {
return 0;
}
if (ival < 0 || ival > 255) {
PyErr_SetString(PyExc_ValueError, "byte must be in range(0, 256)");
return 0;
}
*subobj = NULL;
*byte = (char)ival;
return 1;
}
/* helper macro to fixup start/end slice values */
#define ADJUST_INDICES(start, end, len) \
do {                                \
if (end > len) {                \
end = len;                  \
}                               \
else if (end < 0) {             \
end += len;                 \
if (end < 0) {              \
end = 0;                \
}                           \
}                               \
if (start < 0) {                \
start += len;               \
if (start < 0) {            \
start = 0;              \
}                           \
}                               \
} while (0)
Py_LOCAL_INLINE(Py_ssize_t)
find_internal(const char *str, Py_ssize_t len,
const char *function_name, PyObject *subobj,
Py_ssize_t start, Py_ssize_t end,
int dir)
{
char byte;
Py_buffer subbuf;
const char *sub;
Py_ssize_t sub_len;
Py_ssize_t res;
if (!parse_args_finds_byte(function_name, &subobj, &byte)) {
return -2;
}
if (subobj) {
if (PyObject_GetBuffer(subobj, &subbuf, PyBUF_SIMPLE) != 0)
return -2;
sub = subbuf.buf;
sub_len = subbuf.len;
}
else {
sub = &byte;
sub_len = 1;
}
ADJUST_INDICES(start, end, len);
if (end - start < sub_len)
res = -1;
else if (sub_len == 1) {
if (dir > 0)
res = stringlib_find_char(
str + start, end - start,
*sub);
else
res = stringlib_rfind_char(
str + start, end - start,
*sub);
if (res >= 0)
res += start;
}
else {
if (dir > 0)
res = stringlib_find_slice(
str, len,
sub, sub_len, start, end);
else
res = stringlib_rfind_slice(
str, len,
sub, sub_len, start, end);
}
if (subobj)
PyBuffer_Release(&subbuf);
return res;
}
PyObject *
_Py_bytes_find(const char *str, Py_ssize_t len, PyObject *sub,
Py_ssize_t start, Py_ssize_t end)
{
Py_ssize_t result = find_internal(str, len, "find", sub, start, end, +1);
if (result == -2)
return NULL;
return PyLong_FromSsize_t(result);
}
PyObject *
_Py_bytes_index(const char *str, Py_ssize_t len, PyObject *sub,
Py_ssize_t start, Py_ssize_t end)
{
Py_ssize_t result = find_internal(str, len, "index", sub, start, end, +1);
if (result == -2)
return NULL;
if (result == -1) {
PyErr_SetString(PyExc_ValueError,
"subsection not found");
return NULL;
}
return PyLong_FromSsize_t(result);
}
PyObject *
_Py_bytes_rfind(const char *str, Py_ssize_t len, PyObject *sub,
Py_ssize_t start, Py_ssize_t end)
{
Py_ssize_t result = find_internal(str, len, "rfind", sub, start, end, -1);
if (result == -2)
return NULL;
return PyLong_FromSsize_t(result);
}
PyObject *
_Py_bytes_rindex(const char *str, Py_ssize_t len, PyObject *sub,
Py_ssize_t start, Py_ssize_t end)
{
Py_ssize_t result = find_internal(str, len, "rindex", sub, start, end, -1);
if (result == -2)
return NULL;
if (result == -1) {
PyErr_SetString(PyExc_ValueError,
"subsection not found");
return NULL;
}
return PyLong_FromSsize_t(result);
}
PyObject *
_Py_bytes_count(const char *str, Py_ssize_t len, PyObject *sub_obj,
Py_ssize_t start, Py_ssize_t end)
{
const char *sub;
Py_ssize_t sub_len;
char byte;
Py_buffer vsub;
PyObject *count_obj;
if (!parse_args_finds_byte("count", &sub_obj, &byte)) {
return NULL;
}
if (sub_obj) {
if (PyObject_GetBuffer(sub_obj, &vsub, PyBUF_SIMPLE) != 0)
return NULL;
sub = vsub.buf;
sub_len = vsub.len;
}
else {
sub = &byte;
sub_len = 1;
}
ADJUST_INDICES(start, end, len);
count_obj = PyLong_FromSsize_t(
stringlib_count(str + start, end - start, sub, sub_len, PY_SSIZE_T_MAX)
);
if (sub_obj)
PyBuffer_Release(&vsub);
return count_obj;
}
int
_Py_bytes_contains(const char *str, Py_ssize_t len, PyObject *arg)
{
Py_ssize_t ival = PyNumber_AsSsize_t(arg, NULL);
if (ival == -1 && PyErr_Occurred()) {
Py_buffer varg;
Py_ssize_t pos;
PyErr_Clear();
if (PyObject_GetBuffer(arg, &varg, PyBUF_SIMPLE) != 0)
return -1;
pos = stringlib_find(str, len,
varg.buf, varg.len, 0);
PyBuffer_Release(&varg);
return pos >= 0;
}
if (ival < 0 || ival >= 256) {
PyErr_SetString(PyExc_ValueError, "byte must be in range(0, 256)");
return -1;
}
return memchr(str, (int) ival, len) != NULL;
}
/* Matches the end (direction >= 0) or start (direction < 0) of the buffer
* against substr, using the start and end arguments. Returns
* -1 on error, 0 if not found and 1 if found.
*/
static int
tailmatch(const char *str, Py_ssize_t len, PyObject *substr,
Py_ssize_t start, Py_ssize_t end, int direction)
{
Py_buffer sub_view = {NULL, NULL};
const char *sub;
Py_ssize_t slen;
if (PyBytes_Check(substr)) {
sub = PyBytes_AS_STRING(substr);
slen = PyBytes_GET_SIZE(substr);
}
else {
if (PyObject_GetBuffer(substr, &sub_view, PyBUF_SIMPLE) != 0)
return -1;
sub = sub_view.buf;
slen = sub_view.len;
}
ADJUST_INDICES(start, end, len);
if (direction < 0) {
/* startswith */
if (start > len - slen)
goto notfound;
} else {
/* endswith */
if (end - start < slen || start > len)
goto notfound;
if (end - slen > start)
start = end - slen;
}
if (end - start < slen)
goto notfound;
if (memcmp(str + start, sub, slen) != 0)
goto notfound;
PyBuffer_Release(&sub_view);
return 1;
notfound:
PyBuffer_Release(&sub_view);
return 0;
}
static PyObject *
_Py_bytes_tailmatch(const char *str, Py_ssize_t len,
const char *function_name, PyObject *subobj,
Py_ssize_t start, Py_ssize_t end,
int direction)
{
if (PyTuple_Check(subobj)) {
Py_ssize_t i;
for (i = 0; i < PyTuple_GET_SIZE(subobj); i++) {
PyObject *item = PyTuple_GET_ITEM(subobj, i);
int result = tailmatch(str, len, item, start, end, direction);
if (result < 0) {
return NULL;
}
else if (result) {
Py_RETURN_TRUE;
}
}
Py_RETURN_FALSE;
}
int result = tailmatch(str, len, subobj, start, end, direction);
if (result == -1) {
if (PyErr_ExceptionMatches(PyExc_TypeError)) {
PyErr_Format(PyExc_TypeError,
"%s first arg must be bytes or a tuple of bytes, "
"not %s",
function_name, Py_TYPE(subobj)->tp_name);
}
return NULL;
}
return PyBool_FromLong(result);
}
PyObject *
_Py_bytes_startswith(const char *str, Py_ssize_t len, PyObject *subobj,
Py_ssize_t start, Py_ssize_t end)
{
return _Py_bytes_tailmatch(str, len, "startswith", subobj, start, end, -1);
}
PyObject *
_Py_bytes_endswith(const char *str, Py_ssize_t len, PyObject *subobj,
Py_ssize_t start, Py_ssize_t end)
{
return _Py_bytes_tailmatch(str, len, "endswith", subobj, start, end, +1);
}
PyDoc_STRVAR_shared(_Py_isascii__doc__,
"B.isascii() -> bool\n\
\n\
Return True if B is empty or all characters in B are ASCII,\n\
False otherwise.");
PyObject*
_Py_bytes_isascii(const char *cptr, Py_ssize_t len)
{
const char *p = cptr;
const char *end = p + len;
Py_ssize_t max_char = stringlib_find_max_char(cptr, end);
if (max_char > 127) {
Py_RETURN_FALSE;
}
Py_RETURN_TRUE;
}


"""