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cpython/Objects/stringlib/fastsearch.h

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/* stringlib: fastsearch implementation */
#define STRINGLIB_FASTSEARCH_H
/* fast search/count implementation, based on a mix between boyer-
moore and horspool, with a few more bells and whistles on the top.
for some more background, see:
https://web.archive.org/web/20201107074620/http://effbot.org/zone/stringlib.htm */
/* note: fastsearch may access s[n], which isn't a problem when using
Python's ordinary string types, but may cause problems if you're
using this code in other contexts. also, the count mode returns -1
if there cannot possibly be a match in the target string, and 0 if
it has actually checked for matches, but didn't find any. callers
beware! */
/* If the strings are long enough, use Crochemore and Perrin's Two-Way
algorithm, which has worst-case O(n) runtime and best-case O(n/k).
Also compute a table of shifts to achieve O(n/k) in more cases,
and often (data dependent) deduce larger shifts than pure C&P can
deduce. See stringlib_find_two_way_notes.txt in this folder for a
detailed explanation. */
#define FAST_COUNT 0
#define FAST_SEARCH 1
#define FAST_RSEARCH 2
#if LONG_BIT >= 128
#define STRINGLIB_BLOOM_WIDTH 128
#elif LONG_BIT >= 64
#define STRINGLIB_BLOOM_WIDTH 64
#elif LONG_BIT >= 32
#define STRINGLIB_BLOOM_WIDTH 32
#else
#error "LONG_BIT is smaller than 32"
#endif
#define STRINGLIB_BLOOM_ADD(mask, ch) \
((mask |= (1UL << ((ch) & (STRINGLIB_BLOOM_WIDTH -1)))))
#define STRINGLIB_BLOOM(mask, ch) \
((mask & (1UL << ((ch) & (STRINGLIB_BLOOM_WIDTH -1)))))
#ifdef STRINGLIB_FAST_MEMCHR
# define MEMCHR_CUT_OFF 15
#else
# define MEMCHR_CUT_OFF 40
#endif
Py_LOCAL_INLINE(Py_ssize_t)
STRINGLIB(find_char)(const STRINGLIB_CHAR* s, Py_ssize_t n, STRINGLIB_CHAR ch)
{
const STRINGLIB_CHAR *p, *e;
p = s;
e = s + n;
if (n > MEMCHR_CUT_OFF) {
#ifdef STRINGLIB_FAST_MEMCHR
p = STRINGLIB_FAST_MEMCHR(s, ch, n);
if (p != NULL)
return (p - s);
return -1;
#else
/* use memchr if we can choose a needle without too many likely
false positives */
const STRINGLIB_CHAR *s1, *e1;
unsigned char needle = ch & 0xff;
/* If looking for a multiple of 256, we'd have too
many false positives looking for the '\0' byte in UCS2
and UCS4 representations. */
if (needle != 0) {
do {
void *candidate = memchr(p, needle,
(e - p) * sizeof(STRINGLIB_CHAR));
if (candidate == NULL)
return -1;
s1 = p;
p = (const STRINGLIB_CHAR *)
_Py_ALIGN_DOWN(candidate, sizeof(STRINGLIB_CHAR));
if (*p == ch)
return (p - s);
/* False positive */
p++;
if (p - s1 > MEMCHR_CUT_OFF)
continue;
if (e - p <= MEMCHR_CUT_OFF)
break;
e1 = p + MEMCHR_CUT_OFF;
while (p != e1) {
if (*p == ch)
return (p - s);
p++;
}
}
while (e - p > MEMCHR_CUT_OFF);
}
#endif
}
while (p < e) {
if (*p == ch)
return (p - s);
p++;
}
return -1;
}
#undef MEMCHR_CUT_OFF
#if STRINGLIB_SIZEOF_CHAR == 1
# define MEMRCHR_CUT_OFF 15
#else
# define MEMRCHR_CUT_OFF 40
#endif
Py_LOCAL_INLINE(Py_ssize_t)
STRINGLIB(rfind_char)(const STRINGLIB_CHAR* s, Py_ssize_t n, STRINGLIB_CHAR ch)
{
const STRINGLIB_CHAR *p;
#ifdef HAVE_MEMRCHR
/* memrchr() is a GNU extension, available since glibc 2.1.91. it
doesn't seem as optimized as memchr(), but is still quite
faster than our hand-written loop below. There is no wmemrchr
for 4-byte chars. */
if (n > MEMRCHR_CUT_OFF) {
#if STRINGLIB_SIZEOF_CHAR == 1
p = memrchr(s, ch, n);
if (p != NULL)
return (p - s);
return -1;
#else
/* use memrchr if we can choose a needle without too many likely
false positives */
const STRINGLIB_CHAR *s1;
Py_ssize_t n1;
unsigned char needle = ch & 0xff;
/* If looking for a multiple of 256, we'd have too
many false positives looking for the '\0' byte in UCS2
and UCS4 representations. */
if (needle != 0) {
do {
void *candidate = memrchr(s, needle,
n * sizeof(STRINGLIB_CHAR));
if (candidate == NULL)
return -1;
n1 = n;
p = (const STRINGLIB_CHAR *)
_Py_ALIGN_DOWN(candidate, sizeof(STRINGLIB_CHAR));
n = p - s;
if (*p == ch)
return n;
/* False positive */
if (n1 - n > MEMRCHR_CUT_OFF)
continue;
if (n <= MEMRCHR_CUT_OFF)
break;
s1 = p - MEMRCHR_CUT_OFF;
while (p > s1) {
p--;
if (*p == ch)
return (p - s);
}
n = p - s;
}
while (n > MEMRCHR_CUT_OFF);
}
#endif
}
#endif /* HAVE_MEMRCHR */
p = s + n;
while (p > s) {
p--;
if (*p == ch)
return (p - s);
}
return -1;
}
#undef MEMRCHR_CUT_OFF
/* Change to a 1 to see logging comments walk through the algorithm. */
#if 0 && STRINGLIB_SIZEOF_CHAR == 1
# define LOG(...) printf(__VA_ARGS__)
# define LOG_STRING(s, n) printf("\"%.*s\"", (int)(n), s)
# define LOG_LINEUP() do { \
LOG("> "); LOG_STRING(haystack, len_haystack); LOG("\n> "); \
LOG("%*s",(int)(window_last - haystack + 1 - len_needle), ""); \
LOG_STRING(needle, len_needle); LOG("\n"); \
} while(0)
#else
# define LOG(...)
# define LOG_STRING(s, n)
# define LOG_LINEUP()
#endif
Py_LOCAL_INLINE(Py_ssize_t)
STRINGLIB(_lex_search)(const STRINGLIB_CHAR *needle, Py_ssize_t len_needle,
Py_ssize_t *return_period, int invert_alphabet)
{
/* Do a lexicographic search. Essentially this:
>>> max(needle[i:] for i in range(len(needle)+1))
Also find the period of the right half. */
Py_ssize_t max_suffix = 0;
Py_ssize_t candidate = 1;
Py_ssize_t k = 0;
// The period of the right half.
Py_ssize_t period = 1;
while (candidate + k < len_needle) {
// each loop increases candidate + k + max_suffix
STRINGLIB_CHAR a = needle[candidate + k];
STRINGLIB_CHAR b = needle[max_suffix + k];
// check if the suffix at candidate is better than max_suffix
if (invert_alphabet ? (b < a) : (a < b)) {
// Fell short of max_suffix.
// The next k + 1 characters are non-increasing
// from candidate, so they won't start a maximal suffix.
candidate += k + 1;
k = 0;
// We've ruled out any period smaller than what's
// been scanned since max_suffix.
period = candidate - max_suffix;
}
else if (a == b) {
if (k + 1 != period) {
// Keep scanning the equal strings
k++;
}
else {
// Matched a whole period.
// Start matching the next period.
candidate += period;
k = 0;
}
}
else {
// Did better than max_suffix, so replace it.
max_suffix = candidate;
candidate++;
k = 0;
period = 1;
}
}
*return_period = period;
return max_suffix;
}
Py_LOCAL_INLINE(Py_ssize_t)
STRINGLIB(_factorize)(const STRINGLIB_CHAR *needle,
Py_ssize_t len_needle,
Py_ssize_t *return_period)
{
/* Do a "critical factorization", making it so that:
>>> needle = (left := needle[:cut]) + (right := needle[cut:])
where the "local period" of the cut is maximal.
The local period of the cut is the minimal length of a string w
such that (left endswith w or w endswith left)
and (right startswith w or w startswith left).
The Critical Factorization Theorem says that this maximal local
period is the global period of the string.
Crochemore and Perrin (1991) show that this cut can be computed
as the later of two cuts: one that gives a lexicographically
maximal right half, and one that gives the same with the
with respect to a reversed alphabet-ordering.
This is what we want to happen:
>>> x = "GCAGAGAG"
>>> cut, period = factorize(x)
>>> x[:cut], (right := x[cut:])
('GC', 'AGAGAG')
>>> period # right half period
2
>>> right[period:] == right[:-period]
True
This is how the local period lines up in the above example:
GC | AGAGAG
AGAGAGC = AGAGAGC
The length of this minimal repetition is 7, which is indeed the
period of the original string. */
Py_ssize_t cut1, period1, cut2, period2, cut, period;
cut1 = STRINGLIB(_lex_search)(needle, len_needle, &period1, 0);
cut2 = STRINGLIB(_lex_search)(needle, len_needle, &period2, 1);
// Take the later cut.
if (cut1 > cut2) {
period = period1;
cut = cut1;
}
else {
period = period2;
cut = cut2;
}
LOG("split: "); LOG_STRING(needle, cut);
LOG(" + "); LOG_STRING(needle + cut, len_needle - cut);
LOG("\n");
*return_period = period;
return cut;
}
#define SHIFT_TYPE uint8_t
#define MAX_SHIFT UINT8_MAX
#define TABLE_SIZE_BITS 6u
#define TABLE_SIZE (1U << TABLE_SIZE_BITS)
#define TABLE_MASK (TABLE_SIZE - 1U)
typedef struct STRINGLIB(_pre) {
const STRINGLIB_CHAR *needle;
Py_ssize_t len_needle;
Py_ssize_t cut;
Py_ssize_t period;
Py_ssize_t gap;
int is_periodic;
SHIFT_TYPE table[TABLE_SIZE];
} STRINGLIB(prework);
static void
STRINGLIB(_preprocess)(const STRINGLIB_CHAR *needle, Py_ssize_t len_needle,
STRINGLIB(prework) *p)
{
p->needle = needle;
p->len_needle = len_needle;
p->cut = STRINGLIB(_factorize)(needle, len_needle, &(p->period));
assert(p->period + p->cut <= len_needle);
p->is_periodic = (0 == memcmp(needle,
needle + p->period,
p->cut * STRINGLIB_SIZEOF_CHAR));
if (p->is_periodic) {
assert(p->cut <= len_needle/2);
assert(p->cut < p->period);
p->gap = 0; // unused
}
else {
// A lower bound on the period
p->period = Py_MAX(p->cut, len_needle - p->cut) + 1;
// The gap between the last character and the previous
// occurrence of an equivalent character (modulo TABLE_SIZE)
p->gap = len_needle;
STRINGLIB_CHAR last = needle[len_needle - 1] & TABLE_MASK;
for (Py_ssize_t i = len_needle - 2; i >= 0; i--) {
STRINGLIB_CHAR x = needle[i] & TABLE_MASK;
if (x == last) {
p->gap = len_needle - 1 - i;
break;
}
}
}
// Fill up a compressed Boyer-Moore "Bad Character" table
Py_ssize_t not_found_shift = Py_MIN(len_needle, MAX_SHIFT);
for (Py_ssize_t i = 0; i < (Py_ssize_t)TABLE_SIZE; i++) {
p->table[i] = Py_SAFE_DOWNCAST(not_found_shift,
Py_ssize_t, SHIFT_TYPE);
}
for (Py_ssize_t i = len_needle - not_found_shift; i < len_needle; i++) {
SHIFT_TYPE shift = Py_SAFE_DOWNCAST(len_needle - 1 - i,
Py_ssize_t, SHIFT_TYPE);
p->table[needle[i] & TABLE_MASK] = shift;
}
}
static Py_ssize_t
STRINGLIB(_two_way)(const STRINGLIB_CHAR *haystack, Py_ssize_t len_haystack,
STRINGLIB(prework) *p)
{
// Crochemore and Perrin's (1991) Two-Way algorithm.
// See http://www-igm.univ-mlv.fr/~lecroq/string/node26.html#SECTION00260
const Py_ssize_t len_needle = p->len_needle;
const Py_ssize_t cut = p->cut;
Py_ssize_t period = p->period;
const STRINGLIB_CHAR *const needle = p->needle;
const STRINGLIB_CHAR *window_last = haystack + len_needle - 1;
const STRINGLIB_CHAR *const haystack_end = haystack + len_haystack;
SHIFT_TYPE *table = p->table;
const STRINGLIB_CHAR *window;
LOG("===== Two-way: \"%s\" in \"%s\". =====\n", needle, haystack);
if (p->is_periodic) {
LOG("Needle is periodic.\n");
Py_ssize_t memory = 0;
periodicwindowloop:
while (window_last < haystack_end) {
assert(memory == 0);
for (;;) {
LOG_LINEUP();
Py_ssize_t shift = table[(*window_last) & TABLE_MASK];
window_last += shift;
if (shift == 0) {
break;
}
if (window_last >= haystack_end) {
return -1;
}
LOG("Horspool skip\n");
}
no_shift:
window = window_last - len_needle + 1;
assert((window[len_needle - 1] & TABLE_MASK) ==
(needle[len_needle - 1] & TABLE_MASK));
Py_ssize_t i = Py_MAX(cut, memory);
for (; i < len_needle; i++) {
if (needle[i] != window[i]) {
LOG("Right half does not match.\n");
window_last += i - cut + 1;
memory = 0;
goto periodicwindowloop;
}
}
for (i = memory; i < cut; i++) {
if (needle[i] != window[i]) {
LOG("Left half does not match.\n");
window_last += period;
memory = len_needle - period;
if (window_last >= haystack_end) {
return -1;
}
Py_ssize_t shift = table[(*window_last) & TABLE_MASK];
if (shift) {
// A mismatch has been identified to the right
// of where i will next start, so we can jump
// at least as far as if the mismatch occurred
// on the first comparison.
Py_ssize_t mem_jump = Py_MAX(cut, memory) - cut + 1;
LOG("Skip with Memory.\n");
memory = 0;
window_last += Py_MAX(shift, mem_jump);
goto periodicwindowloop;
}
goto no_shift;
}
}
LOG("Found a match!\n");
return window - haystack;
}
}
else {
Py_ssize_t gap = p->gap;
period = Py_MAX(gap, period);
LOG("Needle is not periodic.\n");
Py_ssize_t gap_jump_end = Py_MIN(len_needle, cut + gap);
windowloop:
while (window_last < haystack_end) {
for (;;) {
LOG_LINEUP();
Py_ssize_t shift = table[(*window_last) & TABLE_MASK];
window_last += shift;
if (shift == 0) {
break;
}
if (window_last >= haystack_end) {
return -1;
}
LOG("Horspool skip\n");
}
window = window_last - len_needle + 1;
assert((window[len_needle - 1] & TABLE_MASK) ==
(needle[len_needle - 1] & TABLE_MASK));
for (Py_ssize_t i = cut; i < gap_jump_end; i++) {
if (needle[i] != window[i]) {
LOG("Early right half mismatch: jump by gap.\n");
assert(gap >= i - cut + 1);
window_last += gap;
goto windowloop;
}
}
for (Py_ssize_t i = gap_jump_end; i < len_needle; i++) {
if (needle[i] != window[i]) {
LOG("Late right half mismatch.\n");
assert(i - cut + 1 > gap);
window_last += i - cut + 1;
goto windowloop;
}
}
for (Py_ssize_t i = 0; i < cut; i++) {
if (needle[i] != window[i]) {
LOG("Left half does not match.\n");
window_last += period;
goto windowloop;
}
}
LOG("Found a match!\n");
return window - haystack;
}
}
LOG("Not found. Returning -1.\n");
return -1;
}
static Py_ssize_t
STRINGLIB(_two_way_find)(const STRINGLIB_CHAR *haystack,
Py_ssize_t len_haystack,
const STRINGLIB_CHAR *needle,
Py_ssize_t len_needle)
{
LOG("###### Finding \"%s\" in \"%s\".\n", needle, haystack);
STRINGLIB(prework) p;
STRINGLIB(_preprocess)(needle, len_needle, &p);
return STRINGLIB(_two_way)(haystack, len_haystack, &p);
}
static Py_ssize_t
STRINGLIB(_two_way_count)(const STRINGLIB_CHAR *haystack,
Py_ssize_t len_haystack,
const STRINGLIB_CHAR *needle,
Py_ssize_t len_needle,
Py_ssize_t maxcount)
{
LOG("###### Counting \"%s\" in \"%s\".\n", needle, haystack);
STRINGLIB(prework) p;
STRINGLIB(_preprocess)(needle, len_needle, &p);
Py_ssize_t index = 0, count = 0;
while (1) {
Py_ssize_t result;
result = STRINGLIB(_two_way)(haystack + index,
len_haystack - index, &p);
if (result == -1) {
return count;
}
count++;
if (count == maxcount) {
return maxcount;
}
index += result + len_needle;
}
return count;
}
#undef SHIFT_TYPE
#undef NOT_FOUND
#undef SHIFT_OVERFLOW
#undef TABLE_SIZE_BITS
#undef TABLE_SIZE
#undef TABLE_MASK
#undef LOG
#undef LOG_STRING
#undef LOG_LINEUP
static inline Py_ssize_t
STRINGLIB(default_find)(const STRINGLIB_CHAR* s, Py_ssize_t n,
const STRINGLIB_CHAR* p, Py_ssize_t m,
Py_ssize_t maxcount, int mode)
{
const Py_ssize_t w = n - m;
Py_ssize_t mlast = m - 1, count = 0;
Py_ssize_t gap = mlast;
const STRINGLIB_CHAR last = p[mlast];
const STRINGLIB_CHAR *const ss = &s[mlast];
unsigned long mask = 0;
for (Py_ssize_t i = 0; i < mlast; i++) {
STRINGLIB_BLOOM_ADD(mask, p[i]);
if (p[i] == last) {
gap = mlast - i - 1;
}
}
STRINGLIB_BLOOM_ADD(mask, last);
for (Py_ssize_t i = 0; i <= w; i++) {
if (ss[i] == last) {
/* candidate match */
Py_ssize_t j;
for (j = 0; j < mlast; j++) {
if (s[i+j] != p[j]) {
break;
}
}
if (j == mlast) {
/* got a match! */
if (mode != FAST_COUNT) {
return i;
}
count++;
if (count == maxcount) {
return maxcount;
}
i = i + mlast;
continue;
}
/* miss: check if next character is part of pattern */
if (!STRINGLIB_BLOOM(mask, ss[i+1])) {
i = i + m;
}
else {
i = i + gap;
}
}
else {
/* skip: check if next character is part of pattern */
if (!STRINGLIB_BLOOM(mask, ss[i+1])) {
i = i + m;
}
}
}
return mode == FAST_COUNT ? count : -1;
}
static Py_ssize_t
STRINGLIB(adaptive_find)(const STRINGLIB_CHAR* s, Py_ssize_t n,
const STRINGLIB_CHAR* p, Py_ssize_t m,
Py_ssize_t maxcount, int mode)
{
const Py_ssize_t w = n - m;
Py_ssize_t mlast = m - 1, count = 0;
Py_ssize_t gap = mlast;
Py_ssize_t hits = 0, res;
const STRINGLIB_CHAR last = p[mlast];
const STRINGLIB_CHAR *const ss = &s[mlast];
unsigned long mask = 0;
for (Py_ssize_t i = 0; i < mlast; i++) {
STRINGLIB_BLOOM_ADD(mask, p[i]);
if (p[i] == last) {
gap = mlast - i - 1;
}
}
STRINGLIB_BLOOM_ADD(mask, last);
for (Py_ssize_t i = 0; i <= w; i++) {
if (ss[i] == last) {
/* candidate match */
Py_ssize_t j;
for (j = 0; j < mlast; j++) {
if (s[i+j] != p[j]) {
break;
}
}
if (j == mlast) {
/* got a match! */
if (mode != FAST_COUNT) {
return i;
}
count++;
if (count == maxcount) {
return maxcount;
}
i = i + mlast;
continue;
}
hits += j + 1;
if (hits > m / 4 && w - i > 2000) {
if (mode == FAST_SEARCH) {
res = STRINGLIB(_two_way_find)(s + i, n - i, p, m);
return res == -1 ? -1 : res + i;
}
else {
res = STRINGLIB(_two_way_count)(s + i, n - i, p, m,
maxcount - count);
return res + count;
}
}
/* miss: check if next character is part of pattern */
if (!STRINGLIB_BLOOM(mask, ss[i+1])) {
i = i + m;
}
else {
i = i + gap;
}
}
else {
/* skip: check if next character is part of pattern */
if (!STRINGLIB_BLOOM(mask, ss[i+1])) {
i = i + m;
}
}
}
return mode == FAST_COUNT ? count : -1;
}
static Py_ssize_t
STRINGLIB(default_rfind)(const STRINGLIB_CHAR* s, Py_ssize_t n,
const STRINGLIB_CHAR* p, Py_ssize_t m,
Py_ssize_t maxcount, int mode)
{
/* create compressed boyer-moore delta 1 table */
unsigned long mask = 0;
Py_ssize_t i, j, mlast = m - 1, skip = m - 1, w = n - m;
/* process pattern[0] outside the loop */
STRINGLIB_BLOOM_ADD(mask, p[0]);
/* process pattern[:0:-1] */
for (i = mlast; i > 0; i--) {
STRINGLIB_BLOOM_ADD(mask, p[i]);
if (p[i] == p[0]) {
skip = i - 1;
}
}
for (i = w; i >= 0; i--) {
if (s[i] == p[0]) {
/* candidate match */
for (j = mlast; j > 0; j--) {
if (s[i+j] != p[j]) {
break;
}
}
if (j == 0) {
/* got a match! */
return i;
}
/* miss: check if previous character is part of pattern */
if (i > 0 && !STRINGLIB_BLOOM(mask, s[i-1])) {
i = i - m;
}
else {
i = i - skip;
}
}
else {
/* skip: check if previous character is part of pattern */
if (i > 0 && !STRINGLIB_BLOOM(mask, s[i-1])) {
i = i - m;
}
}
}
return -1;
}
static inline Py_ssize_t
STRINGLIB(count_char)(const STRINGLIB_CHAR *s, Py_ssize_t n,
const STRINGLIB_CHAR p0, Py_ssize_t maxcount)
{
Py_ssize_t i, count = 0;
for (i = 0; i < n; i++) {
if (s[i] == p0) {
count++;
if (count == maxcount) {
return maxcount;
}
}
}
return count;
}
Py_LOCAL_INLINE(Py_ssize_t)
FASTSEARCH(const STRINGLIB_CHAR* s, Py_ssize_t n,
const STRINGLIB_CHAR* p, Py_ssize_t m,
Py_ssize_t maxcount, int mode)
{
if (n < m || (mode == FAST_COUNT && maxcount == 0)) {
return -1;
}
/* look for special cases */
if (m <= 1) {
if (m <= 0) {
return -1;
}
/* use special case for 1-character strings */
if (mode == FAST_SEARCH)
return STRINGLIB(find_char)(s, n, p[0]);
else if (mode == FAST_RSEARCH)
return STRINGLIB(rfind_char)(s, n, p[0]);
else {
return STRINGLIB(count_char)(s, n, p[0], maxcount);
}
}
if (mode != FAST_RSEARCH) {
if (n < 2500 || (m < 100 && n < 30000) || m < 6) {
return STRINGLIB(default_find)(s, n, p, m, maxcount, mode);
}
else if ((m >> 2) * 3 < (n >> 2)) {
/* 33% threshold, but don't overflow. */
/* For larger problems where the needle isn't a huge
percentage of the size of the haystack, the relatively
expensive O(m) startup cost of the two-way algorithm
will surely pay off. */
if (mode == FAST_SEARCH) {
return STRINGLIB(_two_way_find)(s, n, p, m);
}
else {
return STRINGLIB(_two_way_count)(s, n, p, m, maxcount);
}
}
else {
/* To ensure that we have good worst-case behavior,
here's an adaptive version of the algorithm, where if
we match O(m) characters without any matches of the
entire needle, then we predict that the startup cost of
the two-way algorithm will probably be worth it. */
return STRINGLIB(adaptive_find)(s, n, p, m, maxcount, mode);
}
}
else {
/* FAST_RSEARCH */
return STRINGLIB(default_rfind)(s, n, p, m, maxcount, mode);
}
}
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