competitive-programming-library
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test/yosupo/factorize_fast.test.cpp
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- Last update: 2024-06-19 15:49:33+09:00
- Problem: https://judge.yosupo.jp/problem/factorize
Depends on
Code
#define PROBLEM "https://judge.yosupo.jp/problem/factorize"
#include "../../basic/template.hpp"
#include "../../math/FastFactorize.hpp"
int main() {
int Q;
lint a;
std::cin >> Q;
while (Q--) {
std::cin >> a;
if (a == 1)
std::cout << 0 << std::endl;
else {
std::vector<lint> res = FastFactorize::factorize(a);
std::cout << res.size() << ' ' << res << std::endl;
}
}
}#line 1 "test/yosupo/factorize_fast.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/factorize"
#line 2 "basic/template.hpp"
#define _CRT_SECURE_NO_WARNINGS
#ifndef __clang__
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <string.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cfloat>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define rep(i, n) for (int i = 0; i < int(n); i++)
#define REP(i, n) for (int i = 1; i <= int(n); i++)
#define all(V) V.begin(), V.end()
using i128 = __int128_t;
using u128 = __uint128_t;
using uint = unsigned int;
using lint = long long;
using ulint = unsigned long long;
using IP = std::pair<int, int>;
using LP = std::pair<lint, lint>;
constexpr int INF = INT_MAX / 2;
constexpr lint LINF = LLONG_MAX / 2;
constexpr double eps = DBL_EPSILON * 10;
constexpr double PI = 3.141592653589793238462643383279;
template <class T>
class prique : public std::priority_queue<T, std::vector<T>, std::greater<T>> {};
int popcount(uint x) {
#if __cplusplus >= 202002L
return std::popcount(x);
#else
#ifndef __clang__
return __builtin_popcount(x);
#endif
#endif
x = (x & 0x55555555) + (x >> 1 & 0x55555555);
x = (x & 0x33333333) + (x >> 2 & 0x33333333);
x = (x & 0x0f0f0f0f) + (x >> 4 & 0x0f0f0f0f);
x = (x & 0x00ff00ff) + (x >> 8 & 0x00ff00ff);
return (x & 0x0000ffff) + (x >> 16 & 0x0000ffff);
}
template <class F>
inline constexpr decltype(auto) lambda_fix(F&& f) {
return [f = std::forward<F>(f)](auto&&... args) {
return f(f, std::forward<decltype(args)>(args)...);
};
}
template <class T>
constexpr std::vector<T> make_vec(size_t n) {
return std::vector<T>(n);
}
template <class T, class... Args>
constexpr auto make_vec(size_t n, Args&&... args) {
return std::vector<decltype(make_vec<T>(args...))>(n, make_vec<T>(std::forward<Args>(args)...));
}
template <class T, class U, class Stream>
Stream& operator>>(Stream& ist, std::pair<T, U>& x) {
return ist >> x.first >> x.second;
}
template <class T, class U, class Stream>
Stream& operator<<(Stream& ost, const std::pair<T, U>& x) {
return ost << x.first << " " << x.second;
}
template <class Container,
std::enable_if_t<!std::is_same<Container, std::string>::value, std::nullptr_t> = nullptr>
auto operator>>(std::istream& ist, Container& cont)
-> decltype(typename Container::iterator(), std::cin)& {
Container tmp;
while (true) {
typename Container::value_type t;
ist >> t;
tmp.emplace_back(t);
if (getchar() == '\n') break;
}
cont = Container(std::move(tmp));
return ist;
}
template <class Container, class Stream,
std::enable_if_t<!std::is_same<Container, std::string>::value, std::nullptr_t> = nullptr>
auto operator<<(Stream& ost, const Container& cont)
-> decltype(typename Container::iterator(), ost)& {
for (auto it = cont.begin(); it != cont.end(); it++) {
if (it != cont.begin()) ost << ' ';
ost << *it;
}
return ost;
}
template <class Container>
auto sum(const Container& cont) -> decltype(typename Container::iterator(), 0LL) {
lint res = 0;
for (auto it = cont.begin(); it != cont.end(); it++) res += *it;
return res;
}
template <class T, class U>
constexpr inline bool chmax(T& lhs, const U& rhs) noexcept {
if (lhs < rhs) {
lhs = rhs;
return true;
}
return false;
}
template <class T, class U>
constexpr inline bool chmin(T& lhs, const U& rhs) noexcept {
if (lhs > rhs) {
lhs = rhs;
return true;
}
return false;
}
constexpr inline lint gcd(lint a, lint b) noexcept {
while (b) {
lint c = a;
a = b;
b = c % b;
}
return a;
}
inline lint lcm(lint a, lint b) noexcept { return a / gcd(a, b) * b; }
constexpr bool isprime(lint n) noexcept {
if (n == 1) return false;
for (int i = 2; i * i <= n; i++) {
if (n % i == 0) return false;
}
return true;
}
template <class T>
constexpr T mypow(T a, lint b) noexcept {
T res(1);
while (true) {
if (b & 1) res *= a;
b >>= 1;
if (!b) break;
a *= a;
}
return res;
}
constexpr lint modpow(lint a, lint b, lint m) noexcept {
a %= m;
lint res(1);
while (b) {
if (b & 1) res *= a, res %= m;
a *= a, a %= m, b >>= 1;
}
return res;
}
LP extGcd(lint a, lint b) noexcept {
if (b == 0) return {1, 0};
LP s = extGcd(b, a % b);
std::swap(s.first, s.second);
s.second -= a / b * s.first;
return s;
}
LP ChineseRem(const lint& b1, const lint& m1, const lint& b2, const lint& m2) noexcept {
auto p = extGcd(m1, m2);
lint g = gcd(m1, m2), l = m1 / g * m2;
lint tmp = (b2 - b1) / g * p.first % (m2 / g);
lint r = (b1 + m1 * tmp + l) % l;
return {r, l};
}
int LCS(const std::string& a, const std::string& b) {
auto dp = make_vec<int>(a.size() + 1, b.size() + 1);
rep(i, a.size()) {
rep(j, b.size()) {
chmax(dp[i + 1][j], dp[i][j]);
chmax(dp[i][j + 1], dp[i][j]);
if (a[i] == b[j]) chmax(dp[i + 1][j + 1], dp[i][j] + 1);
}
chmax(dp[i + 1][b.size()], dp[i][b.size()]);
}
rep(j, b.size()) chmax(dp[a.size()][j + 1], dp[a.size()][j]);
return dp[a.size()][b.size()];
}
template <class T, std::enable_if_t<std::is_convertible<int, T>::value, std::nullptr_t> = nullptr>
void compress(std::vector<T>& vec) {
auto tmp = vec;
std::sort(all(tmp));
tmp.erase(std::unique(all(tmp)), tmp.end());
for (T& i : vec) i = std::lower_bound(all(tmp), i) - tmp.begin();
}
template <class T>
void compress(T* l, T* r) {
std::vector<T> tmp(l, r);
std::sort(all(tmp));
tmp.erase(std::unique(all(tmp)), tmp.end());
for (auto i = l; i < r; i++) {
*i = std::lower_bound(all(tmp), *i) - tmp.begin();
}
}
template <class InputIter>
void compress(InputIter l, InputIter r) {
std::vector<typename InputIter::value_type> tmp(l, r);
std::sort(all(tmp));
tmp.erase(std::unique(all(tmp)), tmp.end());
for (auto i = l; i < r; i++) {
*i = std::lower_bound(all(tmp), *i) - tmp.begin();
}
}
template <class InputIter,
std::enable_if_t<std::is_same<typename InputIter::value_type, std::pair<IP, int>>::value,
std::nullptr_t> = nullptr>
void mo_sort(InputIter l, InputIter r, int N) {
const int M = std::max(1.0, std::sqrt(lint(N) * N / std::distance(l, r)));
std::sort(l, r, [M](const auto& lhs, const auto& rhs) {
if (lhs.first.first / M < rhs.first.first / M) return true;
if (lhs.first.first / M == rhs.first.first / M) return lhs.first.second < rhs.first.second;
return false;
});
int before = -1, cnt = 0;
bool f = false;
for (InputIter i = l; i != r; i++) {
if (before != i->first.first / M) {
if (f) std::reverse(i - cnt, i);
f ^= true, before = i->first.first / M, cnt = 1;
} else
cnt++;
}
if (f) std::reverse(r - cnt, r);
}
template <class T>
std::vector<T> xor_bases(const std::vector<T>& vec) {
std::vector<T> res;
for (T i : vec) {
for (T j : res) {
chmin(i, i ^ j);
}
if (i) res.emplace_back(i);
}
return res;
}
#line 3 "math/FastFactorize.hpp"
namespace FastFactorize {
// safe multiplication for modulo
inline static lint mul(lint a, lint b, lint n) { return i128(a) * b % n; }
// refers to http://ceur-ws.org/Vol-1326/020-Forisek.pdf
// determine if x is a prime for x < 2 ^ 64
inline bool is_prime(lint x) {
static constexpr int bases[] = {
2404423, 3027617, 3715179, 3264583, 1593555, 5853461, 1552463,
1896881, 2904107, 5600043, 1356087, 2044251, 290821, 1150981,
1642719, 3076389, 667689, 2650251, 1200327, 1724421, 4133355,
4494151, 1151005, 2674735, 2404773, 667731, 249897, 2904087,
1257551, 1298703, 815165, 241669, 987333, 1839543, 1101997,
151581, 2216193, 3314043, 3387621, 1503569, 1569019, 2674851,
2429437, 2798241, 1380357, 421955, 2330647, 1716501, 1101973,
2757207, 1200199, 3395643, 987153, 1257519, 2945595, 1994825,
1642879, 1716607, 1470537, 274473, 5034585, 2707899, 741477,
2871903, 323643, 1052677, 1503513, 1110213, 3371237, 864345,
5157741, 2830397, 4723085, 1896521, 3518631, 913487, 2674725,
1274089, 1445893, 397317, 2650461, 462937, 2535471, 815171,
1150993, 299037, 1675281, 2011285, 1273861, 2281743, 290821,
4305755, 1552533, 2945205, 1282185, 2625573, 339999, 1028275,
1429797, 217093, 4133591, 1110033, 3150567, 1913109, 274445,
3322029, 1995003, 1527957, 954595, 979071, 446495, 1896509,
987327, 1642501, 3617519, 733323, 979101, 3314187, 1298503,
2535857, 1642555, 1052715, 3371339, 4084005, 1445941, 782425,
979047, 1200307, 1527851, 1888713, 2084869, 618609, 1552551,
520199, 1052865, 987141, 1527935, 1052679, 1593367, 1028323,
815117, 913421, 1159239, 1445929, 2584925, 1200391, 929895,
1839183, 1642585, 1888263, 979071, 364617, 520301, 4133525,
4714863, 3510373, 3535449, 2281935, 790629, 1724799, 3363279,
3150287, 1355829, 2043957, 4059165, 569475, 1888603, 618627,
274485, 1028233, 667695, 274463, 1626363, 3100901, 2454075,
217129, 397335, 1298485, 806915, 1110087, 1151085, 1642569,
4182525, 413733, 2085231, 1028289, 987285, 1200265, 569397,
438331, 1896587, 2797941, 618507, 913599, 2281475, 1282221,
3518661, 3002625, 1896453, 1896699, 1101987, 4059263, 1913059,
3617157, 2454007, 1200339, 299069, 2626077, 1134611, 1273917,
1569025, 3265155, 3535675, 1151059, 3494019, 3494345, 978987,
299019, 2429415, 864453, 1798247, 2339057, 323607, 2060727,
6836295, 1773669, 667721, 1839547, 978949, 667661, 1101933,
1200169, 3879775, 2241021, 2216177, 2699611, 1446181, 1593397,
3371121, 684139, 684073, 806949, 2281845, 733273, 1446001,
618519, 1839231, 2633837, 4223419, 4297153, 438315, 2240823,
2428989, 462901, 618555, 3715119, 438303, 1077307, 938115,
987239, 782349, 4969091, 1593457, 2306547, 2404357, 1675311,
1101937, 4084065, 708661, 2330815, 1200187, 1257485, 979125,
274485, 1724723, 3002789, 1274127, 2044187, 1675277, 2461979,
1101855, 4304957, 1765567, 2625777, 2011143, 1593555, 790541,
1028197, 741429, 462957, 2404575, 2084977, 5575515, 790685,
1110227, 1200327, 3903601, 806979, 3494579, 1298605, 2240541,
790635, 741435, 1527935, 4518067, 4543533, 2134083, 1724429,
1675661, 3732063, 2830617, 2510909, 1134773, 1962445, 1298511,
3026991, 4453085, 2535867, 4174311, 4133451, 1028293, 1470775,
3313971, 2453523, 610387, 1888353, 561279, 2536025, 1134615,
2216019, 790545, 1298449, 4026715, 782445, 1470715, 2339027,
569475, 708619, 2011495, 667757, 3395825, 1962235, 790559,
1568805, 815285, 2527335, 3002807, 2142359, 1626285, 987177,
2707569, 790533, 2535573, 462901, 1568949, 2486379, 741507,
4837755, 929821, 1257755, 2757255, 561265, 1200225, 413719,
1552415, 2486375, 5624007, 1798575, 3395985, 929835, 1356005,
684115, 290875, 4477317, 667715, 364575, 4518139, 864455,
1028295, 1765413, 3510781, 1028115, 4796747, 1380411, 1421643,
2945413, 1110045, 1052689, 1724817, 2306229, 3837963, 987173,
2699643, 151559, 1814631, 2871957, 708679, 815271, 979045,
1200229, 2699545, 3043441, 2216193, 3437035, 3150023, 3371087,
249899, 4174821, 5255517, 4026909, 1528001, 643115, 1151055,
2626155, 4714999, 3510631, 1110195, 2904137, 167949, 1528049,
94225, 8655567, 913467, 151575, 1626291, 1814769, 2625549,
339981, 241707, 2625693, 2216165, 2535591, 126989, 2584689,
1028253, 5337521, 1421439, 561205, 2134503, 1380581, 1052709,
6189349, 4059755, 2535887, 864365, 667721, 2338953, 3879193,
2306197, 1716307, 2453773, 815283, 1110179, 3494699, 2707713,
3076599, 618557, 1552487, 2510927, 1814929, 6608415, 1101981,
2585177, 5239611, 1503455, 217135, 1200277, 667651, 290877,
2461823, 5656589, 929919, 2134495, 446487, 3003077, 1380383,
2486315, 1642669, 340009, 2871607, 2404791, 1593613, 2142561,
1995201, 4469545, 1888489, 4174647, 2011347, 2011239, 913557,
1765503, 3436587, 1028259, 1101891, 5035137, 2085343, 1814709,
2650755, 1503413, 3535041, 815261, 815211, 3396341, 249869,
323601, 2134243, 667653, 1298473, 569347, 2773665, 954541,
2625849, 2281873, 3634015, 733255, 3117393, 1110273, 217111,
913619, 5403577, 864297, 1356053, 2535933, 2626105, 2281581,
1765539, 2404621, 1814791, 3437271, 1052683, 2584815, 1134833,
421967, 930015, 1134611, 2634065, 274469, 176141, 2871897,
2404525, 340047, 1355847, 1552607, 1593525, 864323, 790595,
2330887, 1200181, 782503, 1200319, 684061, 2011315, 1274067,
1110207, 397317, 1282341, 1421353, 1282155, 667785, 1298445,
1675371, 5042277, 1150989, 782403, 1724445, 462877, 2945631,
1052685, 2674915, 979003, 684091, 2363529, 1773605, 4600667,
3961505, 3608713, 6435735, 5828901, 2461935, 1642563, 954477,
815285, 1503333, 569481, 2699763, 77837, 1159367, 4223115,
1839315, 4379103, 1273879, 864285, 2773261, 4001839, 954411,
1052809, 1765387, 1134597, 2633985, 3002411, 2699391, 438285,
1356053, 1470573, 1839477, 2584787, 1912863, 1626221, 1724817,
3100739, 3535509, 929971, 1159271, 421893, 2535591, 1994925,
2240735, 1421581, 643185, 421955, 1896557, 643155, 1503291,
2240705, 2486523, 1355859, 1569115, 1503383, 1896579, 1282157,
1716405, 3076559, 2339199, 1028109, 2044155, 1642879, 618605,
1896785, 2584965, 1052811, 1552445, 643169, 1994925, 520197,
2134329, 1798527, 2306187, 1962381, 1568917, 1814545, 5329665,
1380591, 4723485, 1503389, 3396185, 1675487, 5313729, 938093,
864339, 2510945, 1716465, 1282121, 2650263, 1274113, 2756619,
1724421, 815235, 1765669, 1773605, 3535207, 2404501, 3617445,
1896561, 1159269, 3436795, 2142287, 3363429, 1552565, 5328927,
3838305, 913607, 3879709, 1110209, 1445995, 4059777, 1995003,
1675403, 667805, 2330653, 2756865, 815285, 782377, 1445917,
1101921, 413709, 1446165, 3764765, 4231941, 913571, 2216043,
2625549, 2585055, 1814707, 1716555, 2306437, 1273873, 2363703,
3805911, 1052923, 4256267, 2281821, 397329, 864365, 2634041,
1470745, 2339213, 1552413, 2871957, 1200141, 4452915, 913565,
790631, 2043965, 1028179, 1101955, 3395691, 3314383, 4887567,
1675395, 741449, 1429661, 1298463, 536637, 1839127, 1568917,
421901, 1888603, 2797989, 782515, 610365, 4354071, 1913071,
2453547, 1028175, 938111, 1134821, 397317, 1675311, 1626381,
2240745, 610333, 1888315, 4297581, 1675283, 1569061, 1724649,
1421509, 1798191, 290875, 397401, 397401, 2633979, 1814791,
3223709, 807075, 3027575, 1773819, 3166249, 4600847, 954435,
3117069, 1200355, 2699767, 1101861, 1298671, 438303, 3322443,
1593625, 913481, 1675391, 4026705, 1995083, 790551, 1675661,
1765689, 1200217, 2134299, 741479, 2085027, 1470757, 438345,
2011399, 2363649, 815177, 2134465, 3002831, 1839135, 1593675,
913589, 1159187, 2363835, 741381, 1028245, 733225, 5231149,
667689, 864269, 217117, 3387501, 2699497, 569445, 446565,
1052719, 536617, 569481, 3855159, 438325, 1716307, 118803,
1675463, 3396063, 1429635, 4887547, 3764229, 1150987, 987243,
3395693, 954471, 299051, 1298599, 1429841, 2708057, 3510655,
2978369, 274443, 1626471, 2240525, 733189, 1626275, 2904671,
5354439, 1593357, 1052709, 3371207, 413733, 2338973, 1028253,
1593607, 569445, 979173, 1101855, 4985961, 1257753, 176141,
3879411, 2511297, 1134759, 815271, 938015, 2699697, 1724439,
1052865, 1429817, 864383, 3076805, 1257665, 1913043, 1134785,
938091, 733189, 1839451, 53251, 536703, 2339247, 5042483,
4624893, 3223589, 2085325, 520293, 806925, 3166441, 4599975,
3387433, 954559, 3765083, 1159445, 1028127, 643091, 1445893,
3027323, 1421589, 4133057, 3617001, 2044197, 2527329, 3117747,
4027251, 4796649, 1839277, 3617429, 3961505, 1052761, 3363205,
69643, 708711, 1995003, 1716555, 2527471, 4354227, 782343,
561235, 1298595, 2871369, 2650611, 913455, 1470517, 1052901,
790541, 2904107, 2650165, 643085, 790531, 1503465, 1421629,
1765513, 2281575, 3027083, 323627, 6788253, 3764313, 2044185,
2429259, 1675535, 1274133, 2281479, 2363465, 1642509, 1151215,
2216135, 2945173, 1445997, 1052799, 2527581, 1872321, 1593405,
421967, 1798185, 1028329, 217105, 987365, 2011449, 1675461,
2331091, 954429, 561195, 815157, 667757, 618645, 667749,
1593349, 2511449, 2339295, 1446085, 610405, 1593661, 118801,
3002931, 2461827, 979041, 5328963, 1994943, 1765605, 2871837,
1355817, 2453727, 1896891, 1151127, 2486793, 1552607, 618585,
3592271, 192517, 1200351, 5869861, 2535675, 1380581, 3002789,
1798475, 274445, 2511111, 462945, 1675283, 4231521, 2461889,
913539, 4920173, 1159251, 5230815, 249903, 3043375, 3043375,
3314425, 1871961, 290875, 3002871, 1052785, 2945467, 1896479,
2363429, 937997, 1569037, 569405, 3002877, 2650375, 4083779,
3043501, 1503585, 643211, 1028199, 1110057, 2429221, 979143,
2462139, 2281543, 1765735, 2773231, 6321299, 1134863, 3960837,
3166617, 569349, 3608769, 3117115, 3314311, 2674785, 2871559,
1568847, 1872021, 1642539, 913451, 2043947, 1421595, 667751,
1888405, 1356045, 1912845, 1839375, 438301, 4149861, 1503429,
1552665, 1527989, 5255359, 864269, 2634305, 5066951, 3510471,
2281975, 3322595, 2674693, 2527653, 2486303, 536679, 2675131,
2527515, 1110099, 2240823, 782349, 3363535, 3764277, 1716481,
3314037, 1429677, 3387565, 1282215, 643109, 2650305, 3100979,
4763755, 733189, 987273, 2773623, 1642647, 2060451, 2978411,
126999, 1593717, 643115, 3264931, 2453755, 2584803, 3224061,
2773221, 1896687, 4231215, 2330803, 618645, 1626351, 2535527,
2511425, 3396323, 2281831, 7467699, 1642575, 2650115, 413775,
1527813, 2044071, 815241, 782437, 3731469, 4174581, 192525,
3387649, 618569, 987179, 4862781, 1134651, 2142699, 1503459,
2142491, 2281503, 6346163, 3633939, 815255, 2699613, 979045,
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1503443, 2142407, 2830517, 413763, 4837975, 6541541, 1151173,
1101951, 241693, 2945035, 397343, 1675323, 241711, 1568781,
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1446099, 815267, 1151233, 5034031, 954457, 1134605, 118797,
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1257599, 815145, 1273869, 5231415, 987225, 2044167, 1273963,
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2306221, 6090859, 1355939, 1675277, 323597, 1773647, 4346419,
733197, 979173, 1356033, 1675287, 438277, 2674881, 1052835,
790707, 1421523, 1102057, 2043951, 3510673, 3878955, 5435879,
2453745, 3519117, 3117577, 397349, 2486865, 290859, 1200307,
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2486555, 1642893, 1773861, 1200319, 2871405, 2404753, 1052703,
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2633841, 2085171, 446525, 2281533, 3805551, 1872165, 2461853,
1052713, 3101363, 1888483, 815253, 913605, 397343, 569417,
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1773849, 782355, 340009, 1552425, 815267, 3878955, 1814917,
1110021, 520205, 2429491, 2757131, 5042753, 53255, 1380509,
929799, 2871435, 1773615, 3264571, 2363831, 1814937, 2339189,
1896867, 2462145, 979143, 1814727, 4542745, 708705, 1724813,
2060599, 2044301, 299067, 1445971, 1527999, 2363949, 2306445,
167949, 4223013, 6026093, 2060367, 708645, 3510813, 2060325,
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2134519, 1446061, 1101991, 1134603, 536685, 2134035, 1724499,
1429731, 1257509, 618603, 2084877, 806973, 2462043, 2142641,
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3436675, 2240711, 1626249, 741381, 2945253, 1962403, 864365,
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413709, 2945163, 2757249, 2134167, 7100067, 6100031, 2043993,
864315, 6099491, 684121, 1503333, 1888339, 2830779, 1429731,
4083819, 1552515, 782475, 6239247, 290833, 3150183, 978981,
2281861, 3027093, 339991, 708669, 3264859, 1716417, 3371199,
806983, 3265129, 1273887, 3076167, 3166405, 1298505, 1282179,
3043395, 290833, 1994933, 4223005, 1429517, 667653, 3223565,
1200231, 3879799, 618563, 1773759, 2699841, 2339283, 2060779,
806949, 1552407, 1421413, 684169, 1724429, 2945595, 1675497,
864293, 1626471, 2060319, 864339, 3224213, 2134267, 708631,
3223973, 1839297, 1593423, 1421629, 1257515, 4059897, 290847,
864455, 1724805, 5067065, 1642543, 1962067, 3363475, 323627,
1527987, 446481, 5894211, 2060601, 6418881, 1446045, 1568895,
2871589, 561193, 2797849, 2904227, 1995153, 790637, 1028113,
1773587, 1593577, 3903547, 1716285, 3076259, 1675277, 339981,
1593381, 807049, 2060539, 1151253, 1896869, 3855147, 618501,
1675463, 3314317, 2240669, 913411, 413763, 421905, 913601,
2428933, 1257623, 3027383, 3609345, 1380483, 462871, 2707845,
1913143, 1077319, 2650579, 2240945, 4083935, 569415, 1421535,
3264553, 2306401, 1503563, 2060349, 299079, 2584773, 790677,
3879141, 1765479, 4476999, 2486421, 462885, 987249, 708745,
2462135, 290875, 3510483, 643131, 339973, 3494345, 1159199,
2134083, 3715085, 1765489, 1380615, 1134855, 4346875, 1200357,
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446469, 1962333, 1642875, 4837963, 1642767, 987149, 1888419,
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3363507, 413713, 118789, 610327, 790637, 4452635, 643083,
3264909, 4379165, 77837, 1839505, 1052781, 2134495, 2511155,
1421491, 1773735, 249915, 4494195, 1724709, 2634249, 2871717,
2511179, 1798203, 2142255, 4305263, 2830475, 913559, 249867,
3387625, 2043965, 2707655, 241693, 979135, 1765615, 1421551,
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2134045, 643077, 2060551, 1159239, 1282095, 6541373, 1642533,
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340041, 610431, 53259, 1257573, 1814725, 3313801, 2330787,
2338919, 3314283, 446561, 1593711, 1593657, 3100685, 790565,
790601, 815109, 1298469, 815213, 1421331, 3002397, 6591273,
954421, 421989, 2363439, 339979, 3043339, 733291, 2707749,
1995083, 1888615, 987141, 929809, 1527845, 741513, 2216415,
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1569105, 2142501, 2306595, 1568941, 1470795, 1200397, 364617,
2404773, 1765785, 610407, 3396227, 1724709, 1028247, 4256103,
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1159235, 987141, 3363429, 1421451, 987143, 790611, 3166669,
3764381, 1593423, 1626149, 733203, 323613, 1724547, 3978103,
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3436963, 3617325, 1962097, 3854359, 4132973, 4887577, 1356027,
2330821, 3608607, 1470591, 4476951, 2650155, 790565, 954421,
1642737, 2486715, 1962403, 2142305, 4002493, 438345, 3027005,
1675527, 3494157, 2216385, 1994799, 929805, 4542553, 4575941,
2461893, 741429, 1028155, 6582403, 1528101, 610341, 6950925,
1380621, 2625747, 3313995, 1724835, 1282211, 413785, 1429785,
7205745, 520295, 741429, 643173, 446477, 1626363, 323651,
807039, 1028287, 1077397, 1134663, 1839157, 1872143, 3223589,
340021, 1527849, 1568917, 536683, 274437, 1110213, 3027365,
1961997, 1273965, 741539, 1028143, 1913145, 1355885, 5772445,
5354523, 913481, 1101883, 733315, 2625849, 2044005, 274461,
2830779, 2904371, 1077351, 1552535, 7057589, 446475, 1888653,
815157, 667655, 2674729, 2486343, 4354787, 1257653, 1896621,
987267, 2404795, 249897, 4083813, 2339175, 4060113, 1028199,
2978279, 192541, 2536041, 1028263, 1470501, 2511165, 1569001,
2216357, 569451, 1872029, 2486289, 2945307, 3117475, 1273995,
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3838209, 1798325, 1134771, 1028223, 2461827, 2699545, 299075,
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2511077, 4600119, 4477469, 151557, 3314155, 1773669, 1159319,
4182405, 4543095, 364549, 987315, 1527819, 249915, 3764417,
1503293, 2830667, 8303653, 2085127, 954441, 1765389, 1888269,
1470477, 954541, 4354775, 3535297, 1798317, 708721, 913515,
167949, 2306397, 413701, 643113, 684135, 290821, 1593607,
1503269, 2584637, 1798185, 1298511, 3592739, 790685, 2527633,
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1814701, 2699787, 151569, 790611, 2216319, 4149681, 2281669,
3003045, 3961181, 6435213, 462937, 569357, 2363891, 2634369,
979017, 2060317, 290853, 520235, 1626141, 413743, 6788481,
2043909, 864309, 1814809, 3313897, 3855009, 1839381, 782373,
1503291, 1159257, 561225, 618585, 1568797, 1110075, 5895357,
421947, 1962037, 2404465, 1298709, 2486423, 1298493, 2281911,
4722729, 1101975, 4575539, 2331003, 708717, 1151157, 782395,
1871973, 3223785, 1913169, 1134623, 1716613, 1356015, 1110213,
1716337, 1446015, 938063, 2085247, 274473, 1134731, 2429191,
2281951, 3166779, 5255859, 3002645, 3362913, 438313, 364617,
5771445, 913461, 708747, 536595, 1569081, 3494121, 3616895,
1101981, 987167, 987225, 151565, 2650485, 290833, 1355885,
643109, 987239, 1765725, 938123, 1446199, 954409, 5575029,
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2215989, 462937, 520209, 667755, 2142359, 4346049, 3314257,
1470661, 4149867, 1028109, 438361, 2527833, 1110215, 3494111,
1528085, 4477959, 733245, 3027093, 1028263, 1839193, 5845285,
1446219, 2634021, 2429265, 1110255, 2486703, 3535075, 4452431,
1871885, 4379003, 1642773, 1716577, 1200277, 3977283, 1151169,
1445935, 4797167, 2756739, 1151245, 2461709, 3166609, 1200165,
2240769, 3854533, 3903561, 299037, 3494285, 1380503, 2142405,
1282205, 2216247, 1028253, 1380549, 790607, 1470817, 3322629,
2584605, 438345, 569375, 987149, 1429565, 2240901, 1134831,
3387663, 4379103, 610443, 1896821, 151565, 569351, 1798421,
2871577, 1642525, 1888489, 536623, 364617, 2756715, 3002373,
733257, 1528091, 782403, 561181, 708667, 1626485, 1273861,
782349, 2142525, 2462217, 1298463, 2330835, 421929, 2330787,
1282179, 2044077, 323655, 1839435, 782499, 2338877, 1814667,
1527957, 8558153, 4518871, 4452449, 1355813, 2585099, 2699295,
1839217, 1798367, 176147, 364611, 790541, 1028275, 1282107,
217101, 1355933, 2404419, 462931, 1872111, 1626171, 3076559,
3510409, 1896689, 1200145, 1151199, 2134047, 2338845, 1101925,
3100685, 1101997, 2339195, 1110099, 610365, 1528037, 77835,
520281, 2871453, 3387949, 1593363, 807039, 536649, 2707607,
2084887, 2331145, 6591461, 2084883, 807019, 1134759, 618645,
3223659, 610307, 708675, 2708063, 2461743, 1765617, 4764559,
1527875, 1896605, 1913005, 3731695, 987317, 1724513, 1593651,
2429419, 1642549, 1470507, 4346125, 1871889, 1151019, 2363739,
446547, 1675317, 241683, 1200181, 438303, 2626027, 561189,
2486483, 2331123, 1773917, 53255, 1994963, 2708013, 1101937,
2306179, 3371529, 782433, 3977439, 569373, 299025, 2044155,
4027029, 987365, 421917, 569375, 2486303, 77835, 2699743,
1052733, 520197, 1528035, 2486435, 413785, 2043917, 790571,
413737, 1446205, 118789, 2404689, 2977923, 2797927, 913421,
3322079, 2240805, 1282091, 4231919, 1421355, 1470627, 2585043,
2085367, 979173, 3076335, 937989, 2404441, 1593349, 3314281,
4968555, 413739, 2486711, 3961491, 3535531, 929797, 2699787,
2453937, 2404623, 1380591, 1200165, 1200237, 1527837, 3027275,
5010181, 2871867, 913415, 708691, 1593349, 3363459, 249861,
2363621, 1888273, 1151073, 1724567, 4027227, 2584923, 2650713,
4133831, 2216159, 954381, 4723365, 2240613, 2511291, 3609217,
3764781, 3100821, 1200225, 4084695, 1839211, 1134603, 1028109,
782463, 913461, 1527839, 1716403, 3838635, 684051, 2216159,
3371387, 807013, 3002681, 2756655, 2084967, 6582829, 1593691,
4026811, 2797861, 1773915, 1871909, 1773605, 1159395, 913509,
667787, 864429, 3027155, 4084521, 1962217, 708637, 2486693,
987333, 806959, 3387853, 2011515, 1798401, 1052899, 1716373,
6591947, 3371357, 118797, 2830793, 1798343, 1110215, 4453139,
6345077, 1552743, 364551, 4305053, 6115975, 3150171, 1298479,
1151005, 2306287, 1429797, 3395981, 290829, 1257603, 2429059,
1052695, 364549, 1814691, 520197, 2240913, 4149747, 1380585,
274491, 1962175, 5255979, 4346319, 1134789, 2134179, 2306289,
5231539, 3314097, 2240709, 929905, 684183, 1888507, 2773089,
733347, 3806011, 1593355, 3371237, 1028263, 1552401, 290839,
2527305, 2511309, 1716375, 1110167, 987275, 610363, 1913055,
807049, 684129, 806973, 1912837, 1077471, 864447, 2650341,
1503539, 1028289, 741527, 741383, 1765567, 1446099, 2085273,
1421475, 1568809, 643169, 1642549, 1134821, 3166357, 462955,
4968797, 3608727, 1445893, 3879511, 4256133, 938183, 3321935,
1798367, 1527881, 2527803, 3633199, 979057, 3264849, 2011419,
782397, 3224051, 4452533, 938133, 3518601, 1151113, 1380549,
1298439, 569441, 741459, 1626375, 733293, 1282271, 815295,
2453851, 413725, 1527845, 413737, 1962211, 1421335, 979017,
708669, 3493997, 2510951, 987149, 1527975, 1134755, 2626167,
3363433, 438285, 3264793, 1150999, 610377, 3519173, 815151,
1503333, 790571, 4453071, 2216025, 299013, 2461893, 2428941,
3322265, 938123, 2650173, 192517, 5313599, 569367, 790535,
938093, 790701, 1159341, 1503515, 167949, 708715, 438277,
1994793, 2454003, 413703, 217107, 3388149, 249861, 1675461,
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2011533, 3043333, 1257611, 954421, 864405, 2404357, 3002531,
2584827, 733203, 684115, 3609303, 1282079, 413719, 413749,
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4149901, 1995219, 1675317, 520205, 3313875, 3363363, 2331081,
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2904297, 364563, 3027537, 1134693, 421901, 1159401, 1962147,
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2527503, 618537, 561189, 1298535, 1626309, 1101865, 610407,
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6116311, 2404893, 5895157, 2134069, 1446159, 1773585, 2339013,
2461835, 241669, 6435247, 2797881, 4002249, 299069, 708747,
2453905, 3805771, 2945263, 1716391, 1642719, 1765605, 987375,
2142213, 2044077, 1380659, 2773105, 2428965, 2453863, 667709,
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217101, 3117699, 413749, 1429557, 741459, 1274007, 2339045,
2797647, 323657, 1445977, 806925, 1282179, 667761, 1052739,
1642519, 1839147, 2486711, 3076703, 1568899, 3027101, 1159247,
1257513, 1675361, 2306535, 1052835, 1798191, 4575455, 446475,
2773479, 323621, 864353, 2085001, 3265171, 1716541, 397385,
1151037, 1200241, 3715151, 2216169, 1642533, 1872083, 249909,
1716283, 987155, 1765669, 1257639, 1568949, 815301, 1765479,
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1527939, 3371069, 364549, 520259, 2330691, 462919, 462909,
2486549, 446501, 938013, 2060499, 790607, 2043917, 1995191,
4001881, 2535663, 1675377, 733357, 1470469, 1159181, 421949,
3264879, 1421341, 1429523, 1200201, 2486283, 1995119, 2584659,
1355823, 708681, 1421569, 954439, 5574913, 2584683, 536607,
2306379, 790617, 167955, 1724795, 938175, 3002817, 790607,
1552481, 2306427, 1995023, 6959235, 274455, 2650633, 3805675,
1552485, 561255, 5829527, 913599, 3855163, 2904465, 610387,
3002405, 1028149, 2060425, 397373, 790599, 167953, 708705,
1896879, 790685, 790559, 806985, 2527495, 2461755, 2330955,
176157, 790659, 1101991, 2756865, 2511015, 2584923, 2363871,
1568821, 954519, 323627, 1356045, 3265221, 1298589, 2830689,
167947, 1077429, 3117145, 1282287, 782443, 2429367, 3616805,
6099207, 1814947, 1257599, 1872261, 4297735, 1896621, 4084079,
299051, 2281713, 1503495, 1151007, 684045, 364591, 3027317,
3027185, 2453853, 5238825, 1110255, 2044013, 807091, 1421317,
462949, 1077505, 1569127, 1716403, 1626201, 1626351, 864297,
3617451, 1798377, 1896671, 1724457, 782415, 1077387, 1716421,
2699763, 3265165, 1101835, 290863, 1798533, 2674741, 954517,
938067, 1962381, 1593583, 987159, 1527891, 815109, 3609039,
1642879, 299039, 3510331, 151565, 421929, 1626215, 1298709,
1355789, 2625847, 1159185, 1961989, 2945685, 2674797, 2331171,
2510855, 1896585, 1773741, 2634315, 446561, 979045, 733335,
2650143, 733187, 733293, 1298529, 2453601, 3027375, 1994855,
2363531, 1159275, 1765479, 864275, 987159, 2429197, 1077411,
1355829, 462853, 1528077, 987267, 299061, 2281603, 1470801,
864357, 5239751, 2339165, 1814805, 667745, 4346547, 438289,
1356033, 3223611, 954451, 1052845, 618503, 1994889, 1298599,
462955, 2453983, 1282053, 3396335, 3117093, 1503413, 1626491,
954561, 618533, 4346695, 3838151, 3519065, 1765389, 1814937,
421911, 643115, 937997, 2142365, 806955, 1028197, 1282149,
1798541, 2527651, 643169, 1839175, 94213, 1626443, 3150273,
1421323, 1282227, 741443, 413743, 1077505, 1101921, 1470565,
987245, 938085, 1872009, 4453383, 241677, 1273909, 1257491,
2830775, 274485, 536581, 1101861, 536629, 1159445, 6238281,
929839, 1421503, 2306457, 954421, 4231451, 2756945, 446493,
3265081, 1446169, 790701, 913511, 413737, 1839417, 421901,
364567, 4304993, 1724435, 1503293, 2060619, 2904377, 2625993,
3027195, 1159221, 3224123, 1077477, 339997, 3149987, 733255,
6345213, 1871933, 1110087, 1470523, 340009, 782443, 1912891,
1356045, 290883, 4919495, 1429817, 987263, 2330667, 1675323,
1159229, 1773725, 3903625, 2330731, 1503495, 4886859, 1446039,
954381, 2044143, 2084947, 1151155, 1773611, 2527699, 569417,
2773515, 790551, 3166309, 610441, 1028143, 2674851, 1675401,
2633817, 3166575, 2142239, 1028155, 1527911, 3027405, 667715,
3076673, 684195, 3322625, 3592575, 1257645, 3805935, 569453,
1888449, 1257545, 2674995, 1257513, 1298445, 2339043, 1134749,
2945125, 1913011, 446475, 5952441, 1429767, 815109, 2044323,
1159445, 2363841, 987333, 3395657, 2634011, 2585037, 249915,
2281629, 1282085, 1528041, 3264705, 1675401, 569381, 446501,
3314265, 2756807, 790679, 2757071, 1110027, 2756879, 3027327,
3978075, 5845215, 5870427, 2142279, 2216243, 167953, 1765689,
3494111, 618563, 2282019, 2699611, 2404359, 2134019, 1429527,
1134701, 913479, 3838395, 2216243, 2527269, 2453731, 2331087,
1626125, 1273861, 438343, 1052911, 1380461, 2306101, 3592641,
733189, 3043737, 3854403, 1798323, 2904123, 6640839, 1101903,
2044313, 987249, 1429517, 3387559, 2486729, 2625975, 1642569,
684115, 1839187, 3117097, 929895, 1355817, 4133057, 2634359,
2060731, 1527839, 520305, 1077267, 2363835, 1429841, 2461805,
2904257, 3076757, 1839147, 1380455, 3387709, 438351, 2044353,
2486609, 3322469, 2625849, 1102051, 1356017, 2142389, 274461,
5289065, 1593481, 217091, 290839, 561261, 2486711, 4173891,
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397329, 5976453, 913421, 864323, 274491, 3027101, 3977859,
1257525, 1724613, 1798181, 667761, 2977889, 4469175, 1380357,
3764495, 1159331, 3437371, 5600253, 5067633, 561165, 438339,
6026043, 2511221, 1814821, 815109, 1675595, 2306449, 2527513,
520281, 708717, 3002471, 1962295, 1773759, 1962267, 2756757,
1151005, 987299, 6090775, 1200135, 1888275, 643089, 2339237,
561255, 1773581, 806959, 4174501, 1380593, 4452533, 4797525,
1445941, 217131, 569471, 1503245, 2871475, 643169, 1839543,
2453857, 2453947, 1724765, 299031, 3166407, 1151107, 4378787,
3076737, 1282197, 1274079, 3002381, 1052751, 1282199, 2339273,
815109, 929973, 1765389, 1052901, 1593651, 979135, 1355927,
2707499, 618603, 3715629, 618509, 2650731, 3101055, 4346443,
733251, 2330857, 864303, 1110129, 561213, 3076403, 2281503,
2871897, 3322497, 3395589, 6320829, 1675545, 2085145, 3805453,
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2650209, 864261, 1995015, 2773051, 118795, 413725, 643139,
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1528119, 3117163, 1028223, 2084931, 7501559, 1552491, 3043927,
2216165, 1626191, 667677, 3002889, 938123, 1569099, 1429781,
2330737, 2650551, 2142389, 1568959, 2085093, 6639885, 2085091,
5239971, 2330863, 3592641, 2216133, 1839331, 290847, 3264943,
5353825, 2773273, 684169, 2756819, 274461, 2527689, 290869,
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3264529, 1552407, 7910199, 1814541, 1962291, 1552491, 4001809,
3150225, 643223, 643185, 1814901, 1888317, 1871999, 1642533,
2453871, 2330683, 5853191, 1552583, 5034175, 2363505, 3076599,
2281639, 536643, 6321035, 733221, 2044055, 2134437, 2536017,
815133, 3633483, 938043, 569471, 536629, 733201, 1765599,
1077447, 2707839, 3166213, 1150989, 4494135, 4026411, 561189,
864323, 2404809, 3387405, 1298539, 708765, 3117085, 4232109,
1282197, 1912921, 1569037, 421901, 667745, 2142515, 938121,
5157351, 520245, 2044383, 1421539, 1429667, 2044097, 864407,
1568779, 1716481, 1626179, 2773053, 5230849, 2216169, 2142449,
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1552389, 2085213, 4575237, 2797915, 782425, 2044155, 1888689,
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667701, 1626419, 913511, 1298623, 2429101, 1814881, 1798301,
1765389, 1912851, 4887261, 913575, 954531, 3510523, 3371499,
2757047, 987275, 3879183, 3633511, 2584935, 520197, 3805231,
1962253, 364623, 151571, 1528167, 1642893, 3805531, 3510841,
815183, 1028143, 1642833, 667787, 4468909, 1593621, 610443,
3437277, 1569115, 1110087, 937997, 3731919, 667665, 1446069,
2584845, 1355837, 2453507, 1470475, 782509, 3314185, 3314083,
2134417, 1724475, 1380423, 340029, 938097, 1445931, 741479,
4886791, 1773935, 1527845, 561157, 2453773, 6632511, 4133285,
3313971, 2339097, 1773597, 1888357, 684135, 1593681, 1773669,
2584955, 2216249, 4027195, 2330671, 2650491, 1765627, 241671,
1839505, 708639, 2454073, 4084431, 4887201, 1814839, 3805645,
446487, 954373, 1716537, 151571, 438361, 151575, 1872219,
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1134791, 8302765, 938147, 938121, 413767, 1896549, 1101913,
1896779, 1503459, 462931, 2404795, 1102053, 2338829, 438277,
1527989, 3117715, 1028205, 815145, 2535513, 987359, 807049,
1077321, 1912843, 1552695, 1355829, 413785, 2773585, 2363841,
1962261, 339973, 2626099, 782403, 2060307, 3363489, 1716253,
2625667, 3043905, 2240859, 2584595, 520295, 2404929, 340005,
807001, 53253, 1445989, 2650711, 45063, 2216379, 536629,
1052683, 643223, 1814701, 2404357, 5312541, 2085237, 2142225,
1872111, 2773563, 249893, 3100745, 2339255, 1872071, 1642725,
3903619, 2756675, 954567, 618563, 1716571, 9393609, 2453683,
1159227, 1274019, 3764535, 913571, 118797, 2240595, 954465,
1151143, 536619, 3593001, 438303, 2756639, 2011299, 151583,
4001797, 1503285, 806949, 2527525, 151557, 462951, 2429497,
6238213, 2773549, 1773641, 2060745, 4174135, 3002735, 421985,
1134773, 667755, 1355789, 618527, 2462085, 3313683, 5951541,
3362853, 1101885, 3076373, 3764451, 987155, 3879789, 6559279,
1429685, 3617625, 1798185, 864359, 1503501, 1773749, 561211,
790607, 2699277, 1421365, 4600449, 1503371, 1077459, 4084019,
3002891, 1716271, 1994975, 421899, 8106063, 2134413, 1642677,
4027101, 5231455, 1814839, 2454081, 708681, 1446157, 1429781,
1888303, 1421545, 1470603, 1355855, 1773779, 1814895, 979125,
2338973, 4223929, 2085133, 3519285, 2650675, 1200181, 5042259,
2281503, 954465, 1961989, 1150987, 4222995, 913515, 3223691,
1052913, 1626341, 2240559, 4453421, 1642507, 806971, 2330931,
1077279, 2699821, 790617, 4920083, 1134803, 864387, 1798415,
807039, 1257765, 323625, 1421569, 1257701, 987369, 192541,
2977835, 1380359, 3608579, 2675301, 2339039, 806953, 2281561,
3224211, 249915, 2134297, 913427, 2330725, 2536037, 2945617,
1888603, 2871843, 4149559, 3617325, 2650501, 3535071, 913491,
2043941, 438309, 290883, 1798523, 2904665, 3314421, 1470733,
2830565, 1995083, 1200225, 806959, 2871409, 1626179, 2904627,
1765567, 4862233, 1421443, 561183, 3371067, 2404449, 4575235,
1159227, 1716475, 561205, 2707583, 2306185, 1872261, 708711,
2134243, 1298671, 2511161, 2757171, 2281873, 1028175, 3535291,
1765533, 1765557, 1872311, 1724615, 2830605, 954477, 3166749,
3732267, 323627, 569375, 2830703, 2404645, 2134257, 1626381,
2978171, 954477, 733189, 3166699, 1593441, 3592403, 1257509,
1962195, 1568949, 1028139, 1642549, 1446019, 2453821, 1380591,
77837, 1257651, 938175, 2339373, 929871, 684171, 4453179,
520305, 3805777, 1773875, 2625819, 1626375, 1429571, 2429391,
2511249, 3363199, 4059315, 1446235, 2699463, 1159173, 1151115,
1200361, 954451, 2486283, 3437007, 1626225, 217117, 2216103,
1200277, 1503425, 413701, 1716603, 1528031, 2756661, 2797677,
462867, 1569115, 1052713, 3166485, 1421509, 815283, 1593585,
1552617, 2363643, 3903549, 323657, 1134653, 929805, 4714905,
1503261, 167943, 446483, 397391, 3633259, 1896837, 1716493,
2756901, 1626119, 340005, 684061, 1626243, 1716465, 741437,
2699533, 2945203, 167965, 1150981, 536649, 364585, 3436825,
1257585, 462915, 3395595, 1421469, 438285, 2757221, 938151,
2134143, 938003, 2142431, 4059635, 1282359, 2650155, 1151059,
3617577, 1257603, 1896807, 2428941, 4084659, 3224015, 1151233,
3003009, 2978259, 561249, 1446055, 1765549, 397317, 1077285,
2978181, 618633, 1839315, 2871859, 5288375, 3854949, 2134495,
1593727, 1028335, 299013, 978951, 1503371, 3362917, 1134759,
3387465, 643091, 4494333, 2674693, 2338973, 3903955, 1298629,
610333, 978975, 2338877, 1421589, 6066763, 684163, 1896857,
1077285, 4379397, 733273, 987335, 2240783, 1446225, 1995035,
1298443, 929859, 1028235, 3879369, 5354511, 1675547, 1429653,
864297, 708667, 2699611, 2429449, 1470703, 807019, 241669,
2453695, 1298569, 4182347, 4723727, 1528037, 2773143, 2773455,
2240573, 1593637, 2486865, 2699751, 4625367, 2650659, 1134621,
1773801, 1798149, 1282199, 3879019, 790589, 741539, 2462055,
1380465, 1298611, 1814595, 2044253, 569357, 913587, 1814707,
2134227, 3633615, 1380389, 1151173, 1429781, 807009, 3633505,
1355879, 2216075, 2339199, 2330677, 3960959, 6541883, 2142399,
3494117, 520205, 2699857, 1257581, 4379571, 3149921, 1503465,
2363741, 1528065, 1994925, 815285, 241669, 979095, 1528079,
1913065, 323645, 954507, 929881, 1380663, 2085003, 2044337,
4886589, 4919559, 3961533, 3043611, 741413, 1798437, 1200207,
733311, 782395, 536677, 1151205, 708771, 1765603, 4297071,
1355807, 1110119, 462949, 413749, 3518481, 2797881, 954475,
4837993, 3264891, 2453517, 5067983, 2633799, 1962247, 1773987,
1675415, 3510445, 2584887, 569451, 3609139, 2511425, 1274013,
1896729, 4059173, 2011593, 1839271, 1798185, 938085, 536583,
2142297, 1200399, 1429551, 3731605, 3166545, 413701, 2281579,
806943, 1298455, 1724423, 4985803, 1593357, 2486283, 2011567,
3519117, 2084925, 339987, 2707865, 667659, 1257531, 913431,
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3027323, 1200405, 1994859, 1380519, 3101273, 938073, 4304903,
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1528085, 2699353, 299067, 3715685, 954475, 782515, 3002831,
807019, 1814541, 5771371, 1028099, 864309, 438333, 938025,
290829, 1052751, 4518579, 397335, 1151253, 4296835, 3264679,
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151569, 3027107, 1380461, 3076665, 561157, 2011159, 1200139,
913467, 3592203, 1421325, 1814865, 979057, 1355877, 954595,
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2363621, 741399, 733281, 4543431, 2584995, 3396023, 241677,
2281483, 1773627, 2675025, 913521, 815241, 1110125, 3609433,
2330637, 2699455, 323597, 4886709, 421893, 4346083, 1872303,
3961551, 3223565, 6788201, 1134701, 1593615, 1552641, 2306247,
3150563, 913497, 3387835, 167973, 241701, 2330647, 1380395,
1773819, 274491, 1274089, 5829267, 4150167, 2134479, 1552395,
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536605, 929835, 2486859, 2306385, 954415, 954447, 2830937,
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2363853, 2511045, 1593675, 2871613, 1273893, 569397, 1446171,
610347, 1798281, 1151007, 790691, 364557, 2511389, 6345477,
520203, 782409, 1765725, 1568799, 2486795, 3043485, 4715307,
1527861, 1814877, 1871973, 3764901, 2773233, 4518535, 2142459,
241711, 1282061, 1380365, 2142627, 1773875, 1552743, 3494195,
2011555, 2011597, 2084893, 413737, 3076427, 462931, 1257555,
1872269, 6090931, 2634087, 2871783, 3879091, 1503269, 610401,
2626123, 864437, 2085237, 2978283, 790533, 274473, 1273965,
4059375, 1134605, 2797797, 2011195, 1552575, 3117099, 2773095,
807043, 2511335, 1200321, 4452525, 2527633, 1282305, 1257483,
733197, 1773927, 2429001, 1052829, 3043747, 2216193, 69645,
864455, 2527321, 1839501, 2871477, 2215955, 2281959, 1355987,
2830409, 3027293, 1298683, 1446081, 2904333, 2330917, 6788273,
2363751, 1028149, 741413, 2486625, 1298665, 2773059, 1724813,
1552733, 2535701, 3076559, 684099, 807093, 3609385, 4477169,
643077, 561223, 2429157, 2625945, 274479, 4182297, 1151215,
4149687, 618635, 2142375, 2830913, 1200361, 2216253, 2281905,
2462243, 3510303, 1716453, 2674795, 938147, 1159173, 2306437,
2585123, 1994891, 2011443, 2650353, 5042355, 1028193, 1159341,
1274097, 1896521, 2044035, 2904485, 1274037, 806955, 4297135,
536679, 397379, 192517, 3117093, 815157, 1994855, 1527921,
4223859, 4026619, 2871715, 1134861, 1134653, 684121, 561181,
1642537, 2486865, 4714647, 1962073, 2240843, 2281911, 176169,
2453901, 1421535, 2330991, 1888369, 3510945, 2978241, 3388101,
2699865, 1593451, 1593507, 1355805, 2945397, 741395, 7180719,
217095, 2756759, 2535483, 2216393, 1896453, 2142345, 2240763,
10686477, 3166545, 2535701, 815301, 708775, 3224099, 1642827,
979167, 2756801, 1101847, 1675515, 2675037, 667755, 2011203,
1151043, 2216445, 2011249, 249861, 3854349, 864329, 1101847,
5772273, 3043827, 2904551, 2756625, 4305009, 1593681, 815207,
438331, 1200225, 2134437, 913517, 7417923, 1716571, 1675275,
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1798281, 1445917, 1421371, 299013, 2798115, 815165, 2830929,
733335, 1134821, 2404813, 2134455, 3436557, 2060397, 1110069,
1569099, 1872203, 1765567, 864345, 1110257, 536589, 913421,
249869, 3224291, 3265185, 4305723, 1798421, 2904275, 1913103,
3322443, 339999, 2773371, 3264909, 1765755, 978975, 1814907,
733267, 1765707, 1626459, 2797581, 1446055, 1675503, 217101,
1380603, 3838325, 1151157, 684091, 2634329, 3961463, 864323,
2281653, 1298437, 4084589, 3002373, 2240703, 618543, 708669,
1642659, 53259, 2511047, 3396227, 2462069, 815165, 1675443,
1110243, 94227, 3100883, 1798191, 807063, 241669, 3388053,
2486445, 3805435, 2060767, 782475, 684051, 929905, 413733,
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1273939, 1446157, 1913185, 1765567, 1962351, 1134611, 1273923,
4518171, 913515, 413733, 1298613, 536617, 3002549, 2904723,
1896507, 4764475, 1798451, 2978211, 1962001, 176169, 1429587,
1675427, 3396275, 1282127, 3166947, 913557, 1282187, 2757221,
4001989, 1552721, 3977563, 2281891, 2945481, 1872095, 1593357,
1888675, 2142575, 3854989, 1552691, 2240823, 1626479, 1675293,
2134059, 3493899, 708775, 2535429, 1257509, 1642509, 2707917,
2453583, 1527813, 708715, 4763955, 1134771, 1421479, 987243,
1274007, 1077307, 2216219, 2011413, 3264861, 2830509, 3043375,
2871301, 2699301, 1110147, 2584845, 1839463, 979047, 1528157,
2240531, 2461775, 2511159, 2330647, 4149805, 1765381, 1716267,
782409, 938055, 815285, 4149277, 979071, 2625889, 4493583,
1421353, 2756735, 1642645, 1642509, 6418695, 4133745, 1052869,
340035, 241687, 1773845, 1626353, 1716447, 6026589, 4149441,
3313887, 3166521, 2060439, 561213, 1552547, 2584713, 1159211,
954405, 2240643, 815283, 3519321, 2240789, 6607249, 1995219,
4452725, 1356015, 815177, 5280555, 782437, 2044035, 2404515,
176145, 913605, 1642509, 561249, 1446045, 462919, 5043173,
1470467, 4985829, 790701, 520253, 610443, 1839271, 1151143,
2240823, 241701, 1888317, 2339195, 561213, 643185, 3510589,
1962147, 421901, 2486693, 3002777, 1765605, 2339007, 864359,
2699751, 6345377, 938211, 1839501, 4722791, 1429605, 2584589,
4002189, 2453767, 2338989, 151569, 446505, 1200211, 1962357,
3076139, 2535833, 462921, 3731557, 1421355, 1151035, 217129,
4469757, 643101, 929835, 1355859, 3592623, 462919, 3633165,
733255, 3076389, 864447, 618501, 929905, 954481, 1626303,
397335, 987141, 4887105, 340011, 1814629, 1421589, 2281765,
1839205, 3510973, 2904765, 1274079, 2773305, 1028115, 3043359,
290845, 3076797, 2871427, 684111, 11646417, 3510933, 1896687,
446501, 1134597, 2429109, 1355849, 618567, 438369, 1052911,
864317, 2756841, 4223373, 1273897, 1716405, 2044221, 2216159,
684183, 339981, 1298445, 3387673, 1503429, 790547, 1028263,
2240579, 45061, 3371405, 1716265, 782409, 987237, 1077255,
1429655, 1355855, 4305419, 364585, 3150047, 3592239, 569451,
806919, 954409, 1716423, 2085097, 1200277, 4542603, 2945407,
94221, 1380419, 708687, 782517, 1110179, 1159247, 2142729,
1773885, 864315, 864363, 520299, 1552445, 3388083, 2461823,
5230989, 1101991, 1962265, 782341, 1568947, 1446001, 569357,
708721, 1896659, 1429509, 2462253, 3224073, 1257509, 2240931,
1028103, 3363129, 2633747, 1445893, 2535701, 2363813, 733227,
3076553, 2134425, 1298569, 2626059, 1503333, 1724429, 1675521,
1134821, 2331181, 3617259, 1110117, 954391, 1626141, 2584659,
364615, 1798295, 217107, 53259, 462945, 1355855, 790565,
2060539, 2511435, 8556993, 192549, 4886989, 4862101, 2404525,
6591657, 1445961, 1421479, 643133, 741435, 987327, 1470627,
520211, 1200267, 1159397, 807091, 2461935, 1962253, 1773969,
987165, 954439, 2306401, 4599911, 4986019, 536613, 708709,
2535695, 2486333, 4477967, 446525, 1626209, 241687, 192541,
1159221, 2306061, 2011623, 954435, 1569031, 806979, 2798109,
1200229, 1568905, 536605, 323627, 1896717, 274461, 3117307,
2404731, 741389, 3371091, 3264735, 4378847, 618603, 249869,
2486661, 979107, 2904321, 741389, 561157, 1773779, 462861,
1798157, 1151203, 151565, 2043935, 938007, 2798091, 1626183,
1151157, 1724813, 2363723, 2338989, 643173, 5869761, 2461895,
2339225, 2535845, 643115, 807105, 3043717, 1773695, 2453521,
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2945187, 2306229, 2216267, 1380629, 2282013, 1896575, 741389,
1814565, 1380551, 6345543, 3616773, 176141, 1101975, 667707,
561259, 3002547, 3731943, 2584809, 741543, 1765477, 1773651,
1871919, 1134611, 397331, 4493503, 4149307, 241677, 3027563,
3264943, 2633909, 1995125, 929803, 2904371, 2978283, 2331033,
397317, 2011173, 954547, 2634035, 1528049, 2085265, 643155,
2011173, 2978231, 1102005, 815151, 4477295, 4149315, 618543,
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1896831, 1028275, 3765021, 3003021, 1028099, 2330751, 1503513,
1765785, 1814805, 2044181, 2708063, 2339085, 667757, 1102053,
643223, 618533, 3518775, 2142587, 2281485, 323603, 1150993,
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2486565, 2331103, 1429617, 1503335, 1962417, 2084895, 4518307,
2904657, 2535681, 1470567, 151557, 3510553, 1298703, 176141,
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954477, 2511369, 5657949, 462951, 3494411, 954525, 1503483,
126989, 4223047, 3494481, 2306245, 3265189, 1134671, 815133,
2945027, 3616881, 364563, 4600905, 979045, 3002931, 1626243,
1896779, 1200225, 1380593, 741437, 3977803, 1871951, 733215,
4083995, 2142245, 3224285, 1282077, 2871399, 2454075, 610443,
806923, 3363147, 1380453, 1151005, 1773731, 815271, 6116137,
3027023, 978947, 741479, 1528101, 3633585, 790589, 2462283,
1470475, 4354509, 1101871, 2428989, 5329095, 2306319, 1200309,
2281779, 1257665, 782509, 610315, 274485, 2650363, 2281653,
2085177, 3043585, 929973, 340015, 2060637, 397341, 987273,
2011173, 1028209, 1839441, 1568965, 1257561, 643133, 2527719,
1159391, 1994805, 643125, 4027101, 864353, 1527905, 954505,
667745, 421971, 1257513, 2945445, 667749, 3371387, 1470801,
1151233, 3362821, 364561, 1593361, 2453737, 3002525, 2584923,
938121, 2306131, 913487, 3396335, 3027137, 987143, 6608329,
413785, 708697, 1913103, 3043401, 5330067, 1568895, 741465,
4543035, 1814581, 192535, 1282179, 167949, 1839261, 5034805,
1675577, 3076133, 3321945, 2338835, 2240763, 3879195, 28677,
2281723, 118801, 1716321, 118797, 4838445, 2871727, 3043875,
274479, 3437367, 1994919, 913581, 1642693, 2871349, 1552521,
937997, 151571, 6115899, 3043851, 2699653, 1159247, 2044127,
1593441, 4452719, 4133831, 1528145, 929959, 2216379, 2945127,
1913145, 5157955, 978975, 2216109, 2707637, 2060461, 1912929,
1552697, 1642501, 3149961, 8237577, 708631, 2461737, 2527285,
1298541, 3362947, 1896639, 446481, 1282259, 6542415, 1282211,
5411457, 4378863, 806941, 1101955, 1134705, 1724699, 2625799,
2404771, 364573, 1593357, 1282137, 2330797, 1298725, 3855217,
815171, 4305129, 1470525, 1282319, 782403, 4379357, 3879271,
2945037, 1839117, 4837609, 536677, 2404591, 1888269, 2625967,
1962441, 1282325, 2011567, 1896821, 2306427, 2830803, 1110183,
979041, 167941, 1642827, 2510915, 2044371, 1028233, 1159305,
364563, 4378761, 3264529, 2633877, 1593655, 1273909, 2216109,
938021, 733225, 2699871, 1593481, 4346803, 741539, 3223605,
708747, 1151143, 2486835, 2510901, 1814611, 1871877, 462901,
1503501, 1028329, 987365, 2363603, 1101973, 1077279, 1134699,
1962063, 978955, 1642735, 2756957, 2945421, 913445, 2511087,
249873, 5952369, 1626195, 1773597, 1568799, 2085175, 2011489,
1470661, 2535885, 2404593, 1052775, 3363303, 2060635, 2085175,
2339373, 77835, 2453547, 2429059, 299019, 929863, 2584589,
118807, 1798341, 1798497, 1552425, 954439, 2797917, 2945397,
1912863, 5977371, 3903501, 806995, 249875, 4452419, 438369,
1052779, 1273873, 94221, 1257555, 1274107, 6631429, 1421535,
1839235, 1765669, 2060647, 1568947, 1552401, 2650423, 1765485,
1503243, 1593471, 1429745, 290839, 6345933, 3002601, 5312549,
3076127, 421971, 1568827, 151581, 741389, 421961, 3592755,
4493595, 167973, 3100863, 2142251, 1380491, 2904483, 3043479,
1896519, 1445995, 5231301, 1273923, 3149891, 3592943, 1642603,
5976371, 1470547, 2650393, 3100733, 2429139, 3616899, 2904423,
1421385, 569361, 290853, 938021, 397373, 3117543, 1569075,
4600905, 1110195, 3313705, 4764507, 3518697, 2756901, 979041,
2904147, 3519197, 913605, 413713, 4837885, 4305815, 397373,
2011363, 3117373, 1150981, 987183, 3265081, 1134819, 421947,
1274137, 1159235, 536683, 2830559, 413785, 2404563, 1355999,
2798115, 2625763, 323645, 2331055, 782409, 1527839, 733273,
708759, 1798253, 733213, 274455, 1626129, 6484161, 2453947,
2363771, 1200159, 1994963, 1257663, 1028277, 3617169, 1052685,
987219, 1765627, 708613, 3076389, 3617631, 421925, 1552437,
3003021, 1642753, 708679, 2756957, 913559, 3313903, 3150347,
3388215, 954565, 3436735, 782517, 1568947, 1273869, 1298455,
1552743, 1446127, 3838193, 708655, 3609163, 1962433, 708639,
3264909, 643143, 2650561, 2142261, 1962181, 2461775, 1724495,
2216115, 1814701, 954379, 520221, 929823, 299013, 1077357,
2216319, 536655, 790587, 1593723, 2011599, 118789, 815115,
323637, 69645, 2625769, 3224243, 2978361, 2429025, 2757131,
782349, 2044173, 2339057, 5402661, 1151247, 4297017, 2142357,
2527501, 3715929, 2945445, 2216117, 2428957, 3854529, 5034675,
2773183, 323621, 2060425, 462921, 2535731, 3002937, 3026981,
4493731, 2625999, 3223679, 1626471, 618623, 2453701, 782349,
3322589, 274469, 364581, 1110179, 643175, 2511435, 1642767,
1798311, 1569031, 2306361, 299021, 5657805, 2773549, 1839171,
5574963, 1798553, 274469, 1716603, 299079, 1421509, 2240829,
1773635, 1716235, 1446195, 2306187, 1355933, 1151187, 806953,
1298541, 2461749, 1814599, 520259, 2011405, 1814685, 1028155,
1642509, 1896645, 364555, 1077301, 1912837, 1052709, 2142317,
2011555, 2306187, 1593661, 790617, 1077285, 4599855, 913505,
1110029, 2043963, 1151203, 1503431, 2306535, 1896837, 1798245,
1257743, 610387, 1626345, 643091, 462937, 1028287, 1765603,
1355795, 421959, 790709, 3371175, 438301, 9311877, 1159227,
6025833, 2363585, 3363585, 1675283, 217119, 3510879, 3371319,
3002481, 3510609, 6435249, 5239557, 53253, 151565, 3002871,
2453733, 2650479, 741393, 618585, 708765, 3395775, 937995,
3166717, 1028113, 3044029, 1888705, 978957, 1527831, 1913233,
536589, 1675571, 569385, 806917, 4837489, 2241033, 782467,
462861, 1814821, 667797, 2306467, 1871877, 3117093, 4969601,
2584739, 8777967, 610377, 1872099, 1429547, 2674729, 4059275,
1151047, 4969131, 3592331, 1675415, 1028143, 4796525, 2044257,
1716243, 1028319, 929955, 2429437, 2511455, 1282317, 4354989,
1257525, 1200339, 5436299, 3043875, 782487, 1298611, 1626131,
2650293, 2216303, 5730309, 397325, 2134153, 1274029, 3494237,
1298631, 1765743, 741429, 446537, 3043827, 3150557, 1298701,
1568857, 421931, 3961143, 1814541, 340039, 3003009, 3027671,
782395, 1273885, 3101195, 1568797, 1134729, 4985233, 2142281,
397323, 1888513, 1765417, 4469073, 299021, 1273917, 1962297,
1798563, 151557, 1380399, 1716531, 2216423, 1429661, 3395691,
1814595, 1593357, 684103, 1995219, 2060689, 1871985, 815147,
1421461, 1298571, 5156869, 4059729, 929839, 929863, 299067,
2584643, 987363, 741381, 3732253, 5657607, 3076653, 1913095,
446505, 3265119, 1896461, 2675001, 1888527, 126989, 4600541,
1200325, 569397, 1298613, 741515, 1503245, 2240609, 2707719,
1101885, 2339079, 1446115, 1716355, 1421503, 2338973, 1200195,
2453935, 2904123, 3961433, 1896629, 1077421, 2134515, 1527935,
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2404365, 1298479, 2404689, 45061, 274445, 1552391, 1380357,
2527243, 806991, 782445, 5117085, 1912875, 3715113, 3608749,
3321983, 782517, 929797, 1380543, 2773305, 3371135, 5854181,
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1445899, 3117555, 536655, 1724667, 979155, 1134605, 1200169,
979143, 1872293, 3961229, 954429, 979083, 2634369, 1675443,
1568899, 2060291, 2699767, 1528175, 741381, 1470663, 3764715,
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3002411, 684051, 1888365, 1593711, 1429733, 1356093, 1724655,
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1773681, 339997, 1151143, 1257711, 684181, 3150095, 2240901,
1896585, 733273, 1470801, 2429077, 1028175, 340021, 1962423,
3609219, 1839367, 1527875, 2699347, 3978027, 1355823, 1765639,
938157, 1527905, 2674867, 2904243, 1552547, 929955, 1421329,
2363709, 2215997, 3879175, 3510543, 192525, 2011315, 2675077,
741387, 1798191, 954441, 4182077, 4722711, 3166491, 1773825,
1888339, 987315, 561165, 1028293, 1298625, 3117675, 3592839,
3388149, 3076583, 4477235, 241681, 6787715, 1052733, 1134765,
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1642677, 2011585, 1888675, 2216403, 520301, 53259, 2904531,
3117093, 1888263, 815117, 790575, 3395841, 1421355, 2085093,
241693, 1380615, 2625967, 4223553, 176157, 684073, 1962433,
340015, 2453511, 241705, 1527821, 1716403, 3977427, 2773261,
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438303, 536595, 1888527, 979107, 1159367, 2527299, 3044005,
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1871889, 3002651, 4001829, 1896881, 4083819, 929941, 667731,
290883, 1429677, 3224261, 1257629, 1159215, 1716237, 2429359,
2461755, 1429521, 1200361, 782355, 1052845, 4379343, 3510925,
1569085, 1380603, 1380635, 1200199, 954565, 3117085, 1716229,
2281993, 364591, 2773191, 3387453, 1896687, 2240703, 1257699,
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1642509, 249875, 1765465, 1102005, 954469, 2527569, 806991,
2674881, 3855145, 1568773, 1356033, 1552647, 1134653, 4715323,
438313, 1528115, 2085093, 1773905, 708681, 4133001, 1134701,
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3838565, 1470553, 1503591, 806955, 2240525, 806935, 3322469,
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2363643, 1151133, 1642509, 2756715, 438343, 446469, 913455,
2707895, 5009461, 3043707, 3608773, 1421371, 1913101, 2011473,
413701, 2043947, 2134167, 929971, 1380453, 2708055, 1798149,
1282091, 1151169, 4469745, 2699557, 3608769, 1102021, 2674691,
733221, 3535455, 1159181, 938007, 69645, 2429235, 569471,
733245, 708615, 618537, 790571, 438315, 2626057, 3314277,
3264553, 618645, 741399, 2281665, 1626219, 1470577, 3535539,
1101831, 2363555, 1110113, 413709, 1995023, 1888519, 1642807,
3904347, 5730677, 1298659, 610441, 1675377, 2461875, 446487,
6090855, 118803, 1765557, 2461713, 938141, 2486639, 1282311,
2978159, 938195, 1151019, 2585175, 1355847, 790677, 864273,
913619, 1798241, 438351, 1896779, 2584767, 4838017, 4002213,
1102047, 1445929, 1077415, 954379, 5599863, 4232177, 2044187,
7623707, 4452843, 421931, 2060347, 1626345, 618539, 987309,
2757261, 1298443, 1871909, 2142491, 3043959, 1298605, 1642501,
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413757, 1298451, 1912885, 3715265, 2404839, 782347, 1994949,
1814641, 929881, 782467, 1429767, 2085367, 1888537, 2216127,
1872273, 1839285, 1503495, 6189943, 1552647, 1716355, 684045,
1257555, 217101, 2527429, 2650471, 987245, 1052905, 2363825,
1871909, 1446235, 1626495, 1626209, 864269, 2281783, 2404435,
1151115, 3494571, 561231, 536647, 2626059, 1151059, 3494715,
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2830613, 536665, 2084905, 987141, 1200147, 1773585, 2044277,
1765393, 561169, 3535267, 1028113, 1675457, 1102021, 2330661,
1470613, 1257753, 1421325, 3371109, 2306281, 421941, 53251,
3879735, 3363123, 1765713, 1773795, 1282179, 1871909, 2306271,
733189, 2085003, 2585015, 2904567, 684105, 1913281, 708705,
1298485, 2011189, 2306215, 520235, 1200291, 3535305, 4346005,
1913281, 1675571, 2060301, 938181, 1765449, 1724555, 3002399,
1642689, 2281711, 2453761, 2633985, 815205, 913431, 3166671,
2453701, 1282077, 643125, 3510277, 241675, 1429737, 1552443,
2904725, 5288423, 1716435, 929851, 2510975, 733189, 3223973,
3904317, 1626125, 299039, 1773761, 397325, 3363387, 929901,
2756925, 1028295, 69645, 3150441, 2535755, 978957, 806985,
2707697, 3617247, 2978279, 1527959, 1839505, 1642567, 274461,
3616821, 569367, 741473, 5574895, 397371, 2363895, 1134633,
7001685, 2674789, 397391, 1724547, 249909, 2330733, 2060667,
2871909, 1913293, 4149447, 913415, 4985719, 1626353, 4378655,
3960893, 2773101, 7099275, 176169, 446477, 733215, 3510513,
4796723, 2634195, 643103, 2675089, 3150063, 2085133, 741435,
708721, 1257579, 3043557, 643119, 2699721, 618549, 176147,
2511395, 1134635, 4625423, 643101, 3223745, 741395, 3805843,
1470775, 2797917, 1380405, 2797611, 3371067, 2510871, 1134595,
1962291, 937989, 954397, 4763721, 4452995, 913445, 364581,
1134755, 954391, 1200141, 2240931, 4174465, 118803, 4477569,
1110195, 2756615, 1102063, 1626285, 462895, 815241, 3002811,
4714719, 2511029, 2699631, 6025523, 1257665, 1552407, 438303,
5657139, 1962015, 127005, 684079, 741485, 3764283, 2330637,
3437107, 1356003, 1101829, 4182519, 421931, 913559, 1552613,
3854733, 1888339, 2584997, 569441, 1527939, 1151127, 2306305,
1593627, 929845, 938051, 1962417, 1257569, 3388083, 4379301,
192555, 2511125, 1503335, 274493, 3117495, 2757041, 1151035,
1896491, 4149331, 446517, 1839151, 1355795, 1568917, 954531,
2084881, 1429761, 2707803, 5010181, 536581, 2797885, 1421391,
1593697, 1675463, 561181, 5829317, 2535833, 3395715, 2510921,
1896849, 2756849, 2011329, 3321935, 536605, 1872003, 2044131,
790719, 1429715, 1552565, 1200189, 2044085, 1028253, 3362827,
1716291, 2142311, 4059143, 3101159, 1569099, 7320853, 2240535,
864383, 2306071, 2142399, 1552575, 413757, 3977473, 3518657,
3043707, 1593651, 1642737, 4149267, 1298485, 643179, 4223167,
1642509, 3150557, 2142431, 1527917, 3043357, 929805, 3264543,
1446055, 864317, 1593427, 421901, 1355795, 1569115, 1528101,
3592391, 2240531, 1593475, 1569031, 1159173, 1814949, 1765423,
1101991, 217117, 864365, 3961575, 987315, 1274013, 2699697,
462951, 1839397, 397373, 741417, 2486705, 3493955, 569427,
1077251, 290829, 2830475, 1765749, 1101921, 2330629, 1724435,
864393, 520263, 2773593, 3076413, 2674971, 1273917, 733347,
1798511, 1716333, 438283, 2011237, 2142675, 1716277, 3371079,
1151215, 561231, 446507, 1380395, 1642623, 684163, 1429509,
3322529, 340039, 1282359, 2633765, 1888635, 1503489, 1282079,
3535339, 1716421, 2330733, 3166627, 1429697, 1257509, 2306199,
3322035, 5894553, 782467, 684075, 421967, 323589, 413749,
2281711, 569361, 929941, 2281921, 733323, 1994903, 2215967,
1642501, 3076367, 618549, 3510843, 782407, 782409, 1527867,
4543347, 3027563, 4083783, 1150981, 1077361, 1355829, 413757,
1028335, 1421553, 1962123, 1470511, 1298503, 4223913, 77835,
1839487, 1773609, 3117285, 2511287, 1200267, 241707, 1503237,
618509, 741399, 1429613, 2633765, 2142687, 954559, 569433,
1871915, 413733, 536685, 864437, 3371499, 1962291, 1962027,
4469419, 2486411, 2945161, 929901, 1872011, 2462259, 364549,
790631, 2707695, 3764463, 4624595, 815211, 2363643, 1273861,
2363621, 1528037, 1380365, 2216369, 1913095, 1052703, 3961341,
1446151, 1273897, 1765765, 249873, 4133633, 2281635, 979053,
2945407, 2216075, 2240693, 1028247, 1503315, 1724565, 2331123,
3002765, 1101963, 1052811, 4722707, 741417, 397383, 2216073,
1380479, 462909, 3765087, 1101987, 1994865, 1896647, 340039,
69645, 1282053, 782347, 1773825, 3616877, 2797791, 2363583,
1273987, 3764933, 1503465, 3101115, 3371447, 3044055, 1962321,
1028263, 2707719, 1765669, 2044253, 684079, 1642777, 3634033,
1380603, 1839135, 4624565, 643091, 2486325, 1716265, 1445899,
2134287, 3961419, 536659, 1814685, 3002751, 4084551, 1642737,
1028101, 1077399, 1150981, 323657, 536593, 446511, 1101931,
1773957, 1724445, 1888449, 1814667, 1503443, 2945127, 1298445,
1257503, 1568773, 1052803, 1814557, 2904203, 1446115, 1274047,
4796847, 979071, 1159241, 421907, 536685, 2756675, 413785,
807049, 1134695, 3518495, 1962385, 2461959, 1798161, 2945341,
3223569, 2404355, 2216037, 987233, 1159401, 1077445, 2306569,
364549, 3805189, 2216315, 1716493, 1642893, 2871301, 1888353,
1134843, 1077411, 1798457, 1503581, 2011443, 3395835, 733227,
1257585, 3166657, 733281, 1527821, 1151175, 618509, 1716555,
3592655, 1028275, 2240921, 1298455, 1421469, 1961997, 323637,
3609195, 3223919, 1421353, 1159269, 4223685, 618597, 1716597,
610435, 1503411, 938081, 1839451, 1429521, 2044217, 3519063,
274437, 1470733, 987167, 610413, 4477485, 167973, 2060293,
2240999, 1593471, 1429509, 1151019, 1527897, 2871301, 2831009,
3535165, 1200319, 2585153, 807091, 2527411, 1380419, 1028139,
2510945, 987263, 1896779, 708745, 790541, 561249, 1675373,
1102087, 69635, 2134057, 2904725, 2404683, 11180487, 421899,
1445949, 299013, 1626393, 954465, 4346839, 1355819, 1568787,
3732207, 2945191, 241701, 4133231, 1994925, 1273965, 5894761,
1159185, 790709, 1503369, 2904417, 806973, 1355975, 151575,
2085303, 618593, 1814811, 413701, 1282359, 1773627, 2633751,
1421325, 1355973, 815117, 1421355, 1298451, 2060301, 2330667,
684061, 3363319, 2699463, 2404929, 1773647, 2650339, 1912849,
815261, 1995219, 2454007, 1110077, 1773839, 4886725, 5952855,
462861, 2830559, 2830349, 4231775, 954561, 4174635, 1257701,
4231761, 1356087, 536629, 815127, 20483, 1282149, 2871343,
1134633, 3223751, 790547, 2978469, 569451, 1298661, 1077267,
1159419, 7647237, 2011245, 2527501, 1077319, 2871309, 3535599,
3043621, 569453, 1642695, 1151019, 1110029, 249893, 2904147,
446523, 1159199, 1380365, 2462115, 1380395, 782359, 1282317,
1675367, 2216045, 610411, 1642869, 1724649, 643113, 290877,
2535707, 290845, 2281485, 5034097, 954525, 1765743, 3731605,
2011141, 667757, 1282305, 1896515, 364585, 249879, 1994993,
1994859, 1159191, 1470643, 987329, 536589, 4887679, 2306319,
339991, 1913179, 1101841, 7811791, 536649, 4624395, 2650729,
413703, 2650479, 4714533, 3765063, 3371441, 2330635, 806925,
3101313, 2363831, 1765587, 782443, 3731595, 249863, 3961379,
1552665, 5928171, 864435, 3027563, 2044365, 741389, 1421421,
2339247, 1716255, 1765573, 3363603, 1872071, 3592229, 3837965,
3117193, 1773669, 708735, 2461703, 979081, 4624397, 1151215,
1724435, 790629, 1151089, 1798307, 3633553, 3322047, 2281891,
2675235, 1101837, 1552395, 2510885, 4624425, 1429821, 5656833,
217135, 1282221, 1052773, 1814809, 1159347, 3100811, 3166231,
1839141, 1962235, 6344811, 5829029, 618579, 1527849, 241701,
2675167, 2945511, 1503339, 2330721, 5730783, 2339087, 5256135,
807015, 2773665, 1257509, 643119, 3616979, 3395597, 520209,
1102035, 1626125, 1528079, 1773735, 1200357, 1200339, 782341,
1355837, 3617565, 2462159, 1962183, 4297087, 4625241, 1528047,
5288873, 6272225, 815145, 2756747, 2978151, 1962393, 1110189,
1356057, 2085265, 2044323, 274493, 3264525, 2363913, 643085,
2404365, 1839177, 1814557, 3149829, 2699787, 1593693, 462877,
3387991, 1077489, 1110099, 1257653, 1159299, 1568869, 323595,
1110255, 741549, 3518757, 618525, 536637, 1134623, 5354245,
6468615, 1798553, 2904573, 5771841, 3002715, 151571, 1101835,
1888435, 807091, 3100895, 6607327, 1888609, 1134597, 1814925,
217093, 1052803, 1994915, 3166287, 938115, 782443, 1282145,
2830409, 807013, 4838529, 987141, 5009487, 462891, 1642789,
913479, 667797, 3150267, 2830733, 4026651, 2240783, 2625539,
1421539, 2871379, 2978465, 667707, 3027677, 2454073, 1159257,
741539, 2060325, 2330763, 1380665, 2134125, 2339057, 4255893,
807075, 569375, 708739, 1028197, 5116973, 2363421, 741381,
6345291, 1716295, 4256387, 2634347, 1101883, 5854217, 1257573,
2085045, 3510373, 2134447, 790719, 782409, 2945671, 1273869,
1552595, 4968471, 2904195, 3002817, 1503311, 1994889, 2511267,
1077265, 217105, 7566483, 3265213, 2454051, 2134437, 5256255,
2363405, 1626309, 176165, 1503413, 708669, 1274029, 2085211,
3043437, 1503255, 618579, 462889, 364615, 790701, 2331057,
4133247, 2044011, 1356083, 2240819, 2674861, 1871875, 1282115,
1724805, 618539, 151557, 3838725, 192525, 2527525, 1626491,
2773051, 1077327, 4231181, 2945307, 1151233, 2044371, 3510495,
5010399, 1962363, 1101837, 1429547, 2281621, 1150989, 929835,
929839, 421977, 2945527, 1896765, 2363723, 1282179, 1470801,
2134033, 241701, 2429301, 1675653, 323597, 1724529, 1028295,
2699917, 536685, 1913241, 323607, 3764975, 2461727, 1429733,
1962195, 4837657, 3879049, 954579, 126987, 1282131, 2453661,
3961205, 1151203, 913505, 1257477, 2527735, 2240535, 192525,
2633735, 249861, 1421479, 1110279, 1962423, 1257639, 323597,
2625567, 2773323, 1839373, 1355829, 2011503, 3076815, 413709,
5035053, 1110019, 929923, 610327, 864407, 2428965, 438277,
954541, 3396023, 1503383, 929865, 1552737, 3313671, 397323,
1159265, 2527513, 987237, 569451, 1962013, 1913253, 3395931,
1429775, 643125, 1724469, 1773839, 929865, 1527957, 249875,
1716303, 1134609, 2142587, 4796639, 2462163, 806925, 1724769,
1110119, 3002981, 3903819, 2044361, 192525, 5042927, 1593717,
5337131, 1077471, 446483, 1528031, 536595, 3117807, 1716243,
1200277, 708687, 1421485, 77829, 151583, 2240555, 2486303,
1528115, 299037, 2634065, 1052733, 3395597, 4149949, 1839109,
979011, 3608949, 3362953, 397373, 1429667, 684169, 1380355,
1716501, 2281933, 790617, 3371681, 5067395, 323627, 1961997,
438303, 2216025, 3592631, 2011555, 167967, 3510385, 3633259,
610387, 7689925, 1200399, 1028167, 618593, 2536001, 1798355,
643079, 2306061, 249887, 1839315, 4150219, 2306437, 1675277,
2773015, 1626293, 2675131, 421925, 1470547, 561219, 913475,
4256253, 1593447, 684195, 2650683, 1995035, 2461739, 421901,
3387765, 954427, 2830359, 1626191, 643185, 1773591, 1298605,
2281993, 1872129, 2240979, 2339379, 3117697, 733195, 1470613,
4797569, 1028139, 6116071, 1765503, 1912933, 1871933, 1028259,
2134165, 4494381, 290829, 2453535, 3616877, 1445949, 2453755,
2240961, 561259, 1355957, 4001923, 2216267, 2339319, 1257501,
1110021, 421911, 806925, 1912935, 3633163, 1151245, 2945655,
954457, 806955, 413709, 1298529, 340041, 1028277, 2699527,
741485, 4453085, 2773579, 3961169, 364557, 299025, 733189,
782499, 1913143, 643199, 3314437, 1077285, 4354407, 1380381,
2707835, 4886799, 2338821, 438279, 610341, 1052905, 1151115,
667671, 1716481, 4133775, 1626443, 1134825, 1355967, 1355829,
1470745, 733311, 2044263, 684133, 3166827, 1446117, 2241033,
3609207, 1503389, 5854365, 413743, 1568949, 2404423, 3608713,
2650461, 3264679, 2699821, 2945733, 667715, 978951, 1872045,
929805, 1593495, 1765645, 2904227, 741381, 1716495, 339981,
397355, 290869, 4182293, 618509, 4002553, 1273879, 1077399,
667749, 3117487, 2330637, 741527, 2330677, 1568865, 299021,
741405, 2044187, 1888587, 5312553, 1626305, 569447, 2707979,
1724607, 1527915, 1716561, 1814959, 2634045, 1642579, 2674827,
1429507, 364605, 643091, 2142357, 806943, 3101051, 77837,
913535, 929931, 5869825, 561205, 913413, 1642843, 2453607,
4518745, 2773513, 6828723, 6090951, 1282245, 274461, 733341,
2945107, 2797609, 4838163, 3715283, 913515, 815187, 274469,
446553, 2535777, 1028101, 3264789, 1675535, 4255797, 1552541,
413725, 2650393, 1765633, 684171, 3265021, 2486619, 987329,
569349, 2044293, 6091693, 643199, 1593613, 2363915, 2527429,
2363781, 2625999, 1470661, 1724433, 2240615, 1159299, 3002681,
1593441, 2830599, 2338979, 2650381, 2461797, 118787, 2633891,
2240643, 176169, 1814617, 3437313, 118789, 5411409, 913445,
3715911, 2585007, 1962405, 782409, 2216129, 2585055, 2511089,
2633829, 299011, 364551, 1724555, 1995219, 2330637, 5353981,
1380405, 667653, 807103, 1298529, 2871727, 2404579, 938055,
790571, 4518117, 3322413, 1200157, 2306481, 1773759, 290839,
2527549, 413709, 1994789, 807019, 1446015, 2363789, 1814533,
1872165, 1593613, 2142381, 1257651, 5009571, 1593571, 2011149,
1716535, 2756891, 1994783, 2634237, 1077475, 413733, 1962081,
1839417, 2339339, 2216319, 1773699, 1298437, 1077477, 1888413,
2461719, 782341, 1380593, 290835, 1470487, 2527471, 741447,
1282085, 3977287, 1355987, 2585039, 2011317, 1962021, 2454081,
4231737, 1814779, 2674699, 684163, 290853, 2216043, 3117613,
1839115, 1888699, 1273915, 1872071, 5853683, 741381, 3879529,
2945677, 3265119, 1626275, 815211, 1052829, 3117267, 610365,
741389, 2650125, 1429787, 3493935, 249909, 2428995, 339999,
3166885, 2871727, 2241053, 610365, 2625729, 1273965, 364581,
3362847, 864383, 643185, 7992849, 815151, 3117687, 2240541,
274491, 45061, 6025785, 708667, 4346509, 2306245, 6362379,
2625853, 1798511, 323651, 667661, 462885, 561205, 1200157,
3224123, 3731605, 3977673, 1028307, 2134437, 2306109, 2011239,
2330703, 3518531, 1028319, 1429697, 1257711, 1052695, 2044235,
274437, 2429427, 1912845, 176159, 815187, 1151199, 3002787,
2699457, 1274035, 561163, 2527321, 815127, 4132881, 2240775,
2707535, 1552389, 2871903, 536617, 2142237, 2011147, 3437331,
1773837, 1077337, 1798377, 2536041, 1642777, 561213, 1134819,
2330977, 913425, 2142491, 1470535, 3494219, 954457, 806953,
1102017, 421901, 2461719, 561165, 1995003, 3978169, 1159251,
5043393, 2904663, 3608845, 643143, 1134863, 2339057, 4624737,
2043963, 1593453, 1355873, 2584959, 929943, 561157, 1839373,
2585177, 741555, 913559, 618609, 1282161, 667757, 1716505,
1527957, 2511117, 938141, 1593451, 979051, 1773731, 1028185,
1101895, 782349, 1282187, 3805195, 2134227, 643221, 684105,
2330797, 954381, 3518565, 1274113, 3027171, 462879, 1839255,
462879, 569475, 3960905, 667787, 1445961, 2281555, 4133465,
1552455, 2240991, 3223691, 339979, 1298545, 2134435, 2084947,
1839145, 1273893, 4378629, 2134437, 3617459, 536673, 2281599,
3322127, 1552389, 618519, 2699347, 4797567, 3371727, 708681,
1421461, 438277, 217131, 1470595, 1839115, 913469, 1871951,
536599, 3043815, 790545, 1896647, 1716285, 3002961, 1642833,
3371279, 1134741, 1642677, 2338965, 2306199, 2674711, 5034625,
2085063, 3313687, 684069, 733293, 3633843, 3616785, 987203,
2904657, 1110125, 2527275, 610417, 1200277, 1626345, 2773243,
1962211, 806949, 2650551, 2707527, 1593427, 5574897, 2363669,
1355837, 2404515, 1995201, 364623, 1134681, 3715077, 1593571,
1298505, 126981, 1912999, 5288747, 1200199, 3961251, 1765489,
806917, 241677, 3076155, 4968629, 3608713, 1134605, 438303,
4887247, 561265, 667655, 1151043, 3838779, 1257711, 1814575,
913413, 1716583, 913589, 1470481, 2871309, 1200231, 4150135,
954525, 299019, 1159391, 1298625, 2461853, 2281915, 938151,
1101927, 1765557, 3100809, 3879529, 4223245, 3879685, 1380663,
1724525, 1593661, 2281741, 3535221, 2977805, 397331, 364605,
1675293, 1888495, 1282149, 1159247, 2773005, 5574757, 2634315,
2085261, 561283, 2871609, 929875, 1470691, 938177, 3322575,
1028329, 5402895, 536617, 5239605, 5435849, 708687, 1552563,
2142279, 3494561, 708759, 1626261, 1151113, 2871783, 1724529,
561165, 978967, 536643, 5730393, 2699877, 1356015, 1888629,
3518721, 2535773, 1077499, 4084179, 561171, 733189, 2675331,
2363955, 3764517, 1913145, 978967, 1421379, 1159229, 3633799,
2142617, 1912891, 2060367, 1159227, 2331003, 2633865, 167949,
3117369, 290819, 6115417, 1134759, 3314307, 1298485, 1421451,
2904341, 1101871, 708771, 151565, 4600355, 2584847, 1569105,
1429841, 1962337, 2281603, 3903871, 1429761, 1257531, 421961,
733195, 2510957, 1994865, 1872185, 2142345, 421947, 1871979,
1765653, 3715781, 2216163, 2240999, 3043407, 3166255, 782499,
5313509, 1446115, 2585153, 790535, 1642569, 2134245, 1716363,
1888563, 3903531, 2486583, 2650293, 1552407, 2134447, 1151217,
4518139, 2044067, 3362869, 2871337, 536589, 1642875, 421895,
1028193, 3117339, 1724505, 2699373, 4863043, 3732025, 815271,
1814533, 1593637, 806965, 2699571, 1765567, 1282115, 1134615,
2331111, 1159409, 2306361, 3322497, 274485, 4084281, 3043425,
1028101, 2486541, 1355805, 3166269, 4149253, 3731461, 3314173,
1134861, 4493953, 290875, 446487, 1568829, 2773479, 1077307,
3592541, 3395967, 1798451, 4231821, 2060311, 790541, 2011159,
2134369, 413769, 446501, 3854725, 1839183, 815175, 2060685,
1528115, 643091, 1273957, 1642557, 1724763, 987237, 3313737,
913425, 1798575, 1421553, 1257765, 1273917, 2871669, 1380633,
274449, 1896741, 1052713, 2084943, 3117283, 6140167, 3371381,
1077397, 561205, 520195, 806965, 913605, 3879793, 2453575,
1675653, 1814677, 618509, 2142641, 2511165, 421985, 1716307,
2338839, 1077261, 569417, 1839213, 421925, 1282319, 569427,
4600665, 1421569, 2338955, 1626449, 1995021, 2584689, 1028125,
2904663, 684093, 2453761, 1716277, 938013, 462937, 2011141,
1134821, 2486603, 126989, 2085087, 2462163, 929823, 2650291,
3264621, 1814691, 3961211, 4182777, 1274125, 249909, 782377,
1503423, 1724595, 446487, 2527503, 290829, 2060779, 1421335,
1528121, 1028209, 5230611, 3076737, 1814767, 1503235, 1200195,
2306481, 1503503, 1151017, 1872053, 1872153, 413793, 3149903,
1773639, 2085195, 339973, 569481, 3223775, 610311, 1814581,
2404851, 1995185, 1503293, 1101837, 1626173, 3264711, 2453983,
3371499, 2363541, 5623905, 339987, 1110083, 2404669, 610377,
913413, 3838593, 2060709, 2084877, 290857, 2978223, 2675329,
913599, 1134603, 2134153, 2142275, 979045, 3879489, 1913029,
2511249, 446507, 2461935, 684061, 987239, 4575671, 1839117,
1814569, 2142221, 536643, 1765383, 4305615, 2675197, 569453,
3534861, 2535653, 274485, 2773051, 1052863, 3396087, 2535687,
3854341, 1446079, 3265263, 323645, 3043585, 5772211, 1355955,
1110035, 1593411, 929949, 913497, 3223679, 3731509, 5116503,
2216367, 2044251, 667737, 3396293, 5230635, 1527851, 2625807,
2306131, 1028233, 1798157, 1110057, 4477629, 2830799, 7278743,
2626099, 2281525, 1675491, 1626149, 3805257, 1446111, 2904347,
2429325, 3117643, 94227, 126987, 274445, 1421593, 1626185,
1724495, 2339363, 2527501, 708747, 954471, 2699283, 2306137,
2134257, 2535587, 1200397, 3322643, 3396005, 1527981, 1839303,
2699521, 643175, 2707947, 1675283, 1839231, 2331013, 610393,
3322365, 2453913, 815231, 118801, 733195, 790533, 2142477,
1503579, 741503, 4002151, 954411, 397325, 1569031, 1421553,
864429, 77837, 2797809, 2511327, 1568875, 2330991, 1503303,
2699317, 413709, 741389, 954441, 2330991, 3363625, 3879663,
323597, 2429041, 1675311, 1298539, 1110129, 1912911, 4346833,
929931, 397359, 864275, 1421353, 2404459, 1257561, 954385,
1724597, 1356033, 3314337, 421977, 2338835, 3616925, 1724667,
864405, 2338923, 1716229, 3166287, 1675623, 2510851, 1298713,
2216319, 643185, 1421385, 4714863, 3149987, 3388125, 4150021,
2084931, 2675281, 1765795, 1626479, 3117349, 192531, 2142221,
2306205, 192553, 1798343, 4600047, 864309, 3396371, 1380369,
167949, 1995033, 5034693, 3961445, 3436633, 1872153, 1888567,
1626285, 3535077, 1626383, 1872045, 1446079, 2797621, 3494115,
2044031, 1527867, 2339169, 7468767, 1528049, 1298745, 1134693,
4305549, 1626405, 3076277, 806917, 2216289, 4379615, 4223425,
1896461, 274463, 3223779, 1257551, 733197, 2535695, 1273957,
938195, 1773669, 1110173, 4493769, 1101867, 1273861, 3395895,
1994901, 2338869, 1470771, 2625993, 2085171, 733263, 3371781,
733341, 2215947, 340047, 708775, 1446201, 1102003, 1101955,
167965, 1872023, 1773941, 5624191, 4837395, 1994883, 3076295,
4026717, 1052689, 618605, 2511161, 3510469, 815163, 520229,
938007, 2011417, 536613, 340011, 2977875, 4379201, 2945443,
4543155, 1380489, 2486375, 3002371, 323589, 929811, 1110147,
2830339, 864309, 2904503, 299079, 2011393, 1724687, 2404603,
1159305, 1765465, 2773563, 3117403, 3314151, 3027401, 4354721,
1151175, 1568781, 1028139, 1028335, 1028223, 3166269, 1110057,
2585153, 2306161, 217125, 913575, 2797599, 1274163, 3027051,
1528089, 2306175, 2281509, 290859, 1200131, 438345, 53253,
20483, 2134447, 3617289, 1839331, 2044053, 1200321, 69637,
2453947, 2363649, 1421593, 954415, 1568809, 1159295, 1356093,
1273953, 1716517, 438351, 2240975, 2281743, 1765669, 4231437,
421929, 1429697, 806985, 290853, 2584869, 462909, 6066181,
2134273, 1716403, 2085265, 815271, 1298461, 3322365, 929971,
987219, 1798373, 2404465, 1872023, 2830373, 2240555, 1593367,
2363741, 1429641, 987179, 4715115, 6787551, 2510951, 3437227,
2871495, 3961143, 1593613, 1028269, 3437035, 1503359, 913599,
1593571, 708681, 3437035, 241681, 2331033, 3510303, 864315,
733243, 1445917, 438339, 397325, 126981, 2044337, 2650183,
1298673, 1429631, 1356083, 1134605, 118789, 1675631, 1913073,
2085015, 1200295, 397353, 1429507, 569453, 2429035, 569391,
2535993, 3076515, 561189, 2306131, 3321927, 2281569, 2535533,
1159299, 2650275, 4886989, 1527891, 1052799, 1896557, 1052689,
1896459, 3166399, 2330907, 2281803, 1642759, 2044041, 1871925,
2011207, 1716381, 1028323, 1421589, 1429641, 733333, 413709,
3362923, 2330695, 1995131, 3027377, 1151187, 397341, 2462219,
815243, 929931, 2797825, 4354397, 1445929, 1077301, 1839315,
2404365, 4297563, 1552575, 3371457, 2429391, 1552547, 806915,
1724597, 3117657, 1724733, 1773599, 4133105, 1159179, 1077477,
1470747, 1077445, 1642707, 954495, 782409, 2626135, 249887,
413727, 5436615, 790665, 2462055, 1077505, 1110053, 299013,
1429605, 954519, 1814809, 536649, 1839235, 667797, 1593571,
397325, 3027177, 1282281, 176133, 421971, 1134681, 2626027,
3854353, 2330937, 815231, 53259, 1110057, 561165, 1568851,
1528007, 2060481, 1642719, 3100811, 667685, 446525, 782397,
7697003, 2527671, 2429505, 2773371, 1200277, 684045, 4182033,
536581, 3117123, 249903, 2675245, 536623, 3362833, 2216213,
5010261, 790709, 3264619, 94221, 323597, 3961293, 3100781,
1593363, 2757249, 684129, 1675353, 1421449, 536677, 1839375,
1028157, 4296807, 1355949, 2011603, 2085177, 2142291, 2134449,
126989, 4149529, 2674789, 1282095, 2281545, 2797881, 2535705,
1503341, 782499, 2330991, 987155, 1527819, 2281755, 2830937,
2461785, 4600425, 913475, 3806005, 446571, 1912845, 397395,
536643, 126981, 561249, 2871955, 979155, 5231709, 618539,
1298443, 3764229, 708745, 1994925, 446543, 1380663, 462927,
913445, 2281869, 1298451, 192553, 462901, 2453733, 274451,
438283, 241669, 1773989, 1470645, 2871613, 1257513, 1675497,
2240643, 7501377, 4477055, 2142617, 1380501, 1839205, 1028335,
2945491, 815147, 1871889, 938157, 2011209, 536613, 5575053,
3765047, 1552485, 3371097, 2281669, 1028197, 1716277, 684181,
1356089, 1552391, 3223649, 2404357, 913607, 6362275, 3166221,
1839453, 2584733, 397359, 1839201, 610335, 1274119, 1724789,
1470621, 1200181, 1470775, 438319, 2060601, 4231827, 1724445,
1028149, 1298611, 1298623, 1626341, 3027261, 1962177, 2871759,
4255895, 2977829, 1994793, 364557, 1642549, 2331091, 561195,
323651, 1470553, 782473, 2461779, 1675637, 520299, 3731559,
2674837, 2060461, 2085307, 1593451, 1814967, 1724429, 1446055,
5575603, 421925, 290877, 1028203, 1134759, 790709, 1765713,
782349, 2527693, 1872099, 1814767, 1110155, 684093, 569411,
4132967, 2306199, 2830683, 3387541, 241683, 5239823, 2142401,
1716267, 4886799, 790539, 520223, 1626309, 667797, 1134633,
3117367, 1421629, 1257485, 9310927, 2527833, 3224123, 1470727,
4133517, 1282211, 1282061, 3002391, 987173, 1675343, 1765569,
2240591, 446469, 1446121, 5599605, 3396071, 4468977, 126981,
1569115, 1110087, 2281891, 3387745, 2904231, 2429265, 2585007,
1151017, 1257599, 1159365, 1814625, 3633349, 7786725, 2134123,
2134213, 167973, 2085103, 2511045, 2486865, 2428981, 217101,
4256337, 4256685, 1552467, 913581, 7665069, 2773471, 8140011,
2363849, 1626141, 1724529, 1765479, 4477497, 3265251, 1110273,
1356027, 2306127, 643091, 438361, 618603, 4182609, 1470481,
4493995, 3027545, 462865, 2044271, 1470747, 3608893, 462885,
1527957, 3903717, 2453893, 806971, 4223677, 3027303, 1642501,
938165, 708661, 1052845, 2339295, 1995023, 520301, 421977,
1765765, 1568815, 782437, 2699415, 413769, 1110119, 643133,
1298475, 5034951, 1675631, 1773801, 733357, 2011239, 979171,
3117813, 1102047, 413709, 438375, 397317, 1871913, 1052701,
2363675, 520197, 3493977, 1077379, 1028223, 913469, 2043907,
2674869, 1773845, 618579, 4133363, 561231, 1470675, 323645,
1355889, 1871913, 1888269, 4256763, 1421341, 126989, 1568839,
2060355, 2527545, 2871529, 1814929, 1101885, 4600925, 2510927,
643085, 1839171, 2699623, 6090979, 1052835, 978957, 733321,
3076209, 1568865, 1552497, 3395823, 2060437, 1421589, 1642789,
2363895, 438375, 2281645, 1101987, 987197, 782433, 413769,
1626251, 1765387, 1675431, 1913059, 176147, 1282275, 1765707,
4354539, 1872099, 4715377, 1298689, 6558033, 1912845, 2453583,
1429767, 2797587, 1380593, 413737, 1052677, 3224043, 1626179,
1052923, 929805, 643125, 3854943, 462885, 5845255, 1962097,
3437035, 733189, 446481, 1421415, 2363895, 2363871, 2011203,
2756787, 1888623, 2707877, 340027, 28677, 241677, 536629,
987149, 1274133, 2633891, 643161, 2330629, 3027447, 3903637,
3388119, 3264549, 1470531, 2527345, 2044005, 3223833, 1568995,
2060697, 1355835, 1151055, 2404663, 954499, 2756651, 2281713,
1626323, 1274149, 3043561, 815261, 913575, 3027095, 3437047,
815145, 421917, 176159, 413749, 954469, 3494631, 1134653,
3534961, 741381, 1814797, 1380459, 954549, 1421373, 4305657,
954565, 1077271, 1626171, 69645, 2142339, 2363901, 520233,
3101391, 3076743, 1274113, 1257765, 4002129, 2428969, 53251,
4886533, 2626057, 790595, 446547, 2650305, 1798251, 2011293,
446525, 1077487, 1077345, 2511449, 413763, 1552511, 2241011,
3076605, 176133, 741429, 1593481, 864383, 2634189, 340027,
1871889, 5846223, 1552425, 3395901, 1298599, 806965, 1552635,
2830355, 2486505, 1716495, 2535945, 1298643, 2339013, 3117663,
1814641, 413749, 2699841, 1429685, 1421541, 913547, 2584827,
192517, 1773951, 2650185, 290847, 5043399, 1257545, 2707461,
6362251, 2281585, 4517893, 1273945, 1765627, 3321899, 3395981,
1134693, 987209, 2134087, 274451, 815177, 2060581, 397325,
643221, 1503339, 1675353, 1028247, 192515, 864447, 1814937,
1134605, 4174401, 1355781, 3224115, 929973, 2134405, 8655435,
5730453, 1626375, 4452915, 6557739, 462895, 2633837, 1642807,
1102035, 610363, 1257485, 2977923, 5255785, 4256391, 1552577,
4256573, 3878925, 1077331, 2216133, 2773329, 1257575, 1626381,
241671, 462945, 1888339, 733201, 1724639, 708697, 2650555,
1839135, 1839141, 1814595, 8179725, 1151245, 4714803, 1724445,
1675427, 299039, 4493943, 938013, 438303, 2756709, 1593727,
782367, 741381, 6025757, 3511029, 4984933, 1503239, 3265263,
618501, 1257743, 1028205, 397331, 864329, 1724427, 3903501,
1151019, 94219, 1503245, 1200369, 5624365, 2699661, 3322167,
708757, 1913169, 2626039, 2535923, 1765659, 3002421, 708613,
1503269, 4060107, 2830905, 2453737, 2306211, 1052731, 3960851,
3764535, 2142435, 733213, 446565, 2084877, 1716415, 2674731,
2756807, 1552661, 2306487, 1724525, 987225, 2904755, 610441,
364557, 2527299, 2634009, 2330863, 5657793, 684129, 667707,
3494397, 397373, 1888299, 340011, 1429607, 1421589, 1052701,
1101973, 1626339, 1380551, 4182267, 2011329, 929871, 1552455,
790581, 1814665, 3313941, 3076637, 569433, 2330971, 3101313,
790695, 2134413, 2429125, 3437227, 954451, 2675211, 1724583,
1429685, 4862811, 1077255, 1028307, 2674927, 5599693, 3388005,
733251, 2871729, 1282175, 3076757, 1552617, 2330991, 2773665,
5411855, 1765599, 1151215, 1798301, 151555, 3904009, 2830487,
708631, 1429613, 3838553, 1110027, 979053, 2462283, 2978363,
1994915, 1568907, 929871, 299075, 1773825, 2240555, 520197,
3731913, 3002559, 2461757, 987263, 1569127, 1552547, 2871445,
299013, 3437235, 815235, 3388101, 520253, 2044085, 2650363,
643151, 290883, 1888593, 2085127, 790557, 1962165, 1593483,
340047, 4182059, 1872185, 1912863, 2404483, 1298569, 397325,
1962255, 2216357, 2363397, 790541, 1724429, 1101891, 1421401,
2945133, 3609075, 4862289, 2363559, 1569037, 1569115, 126987,
1282331, 733197, 2486361, 1765599, 1298665, 987203, 1282055,
1503291, 446567, 2977799, 2142269, 782433, 3027653, 1356059,
1773941, 1724429, 438351, 1028275, 3436767, 2306247, 1134863,
2011209, 2674725, 4354661, 1773605, 1273957, 249859, 151569,
1298569, 2699365, 3150171, 643113, 2060371, 1724643, 217135,
1724457, 1429815, 1675661, 733335, 1724615, 3436773, 2060689,
2060437, 2773119, 1872209, 2453817, 733311, 323589, 1552581,
2650191, 4084703, 3313921, 2281951, 1159391, 1052709, 1912869,
741525, 1716237, 1429733, 1528145, 3518487, 2142641, 4150125,
913481, 290883, 1298629, 1446061, 3264871, 2404593, 2511215,
1445899, 1724615, 3609183, 1527851, 3027005, 241675, 806917,
1257729, 2871445, 3149913, 2306115, 618503, 2134435, 1675575,
667665, 2060305, 462901, 3371121, 536583, 1626423, 1159181,
733227, 2011327, 4624955, 1446151, 561181, 979171, 4345993,
3264651, 618567, 1077285, 2871535, 1159391, 5657397, 1962021,
364555, 790617, 1773717, 1273861, 938141, 1773761, 2527723,
3764493, 3715245, 167949, 2527615, 241671, 2634095, 1839343,
864413, 2462055, 1503273, 1569099, 2707493, 782397, 610351,
2871895, 1200265, 1298695, 5854091, 1429703, 987309, 2281939,
299019, 2584847, 610371, 1888653, 1962147, 1552463, 1380459,
5329137, 1724805, 2978025, 1355987, 413701, 1642603, 3314083,
2142629, 1716417, 815261, 1445919, 2281485, 1470603, 1298505,
3854577, 2142231, 1421595, 1773837, 1888261, 929805, 2699907,
1724685, 3117229, 2404633, 1150987, 1028227, 2281603, 3150065,
1773597, 815285, 1429715, 2830845, 2486819, 520215, 2060361,
2060787, 2142489, 438339, 2453641, 3395765, 1798187, 3117789,
1356039, 421925, 667677, 1159171, 618605, 1257491, 1200207,
299021, 1470655, 1273859, 733291, 790695, 2634341, 1773581,
520253, 1716247, 323655, 2945337, 118797, 815163, 2462153,
1872123, 1274137, 446565, 3117207, 1380629, 1028205, 167949,
1298451, 2675187, 1568775, 4305249, 2486565, 4084019, 3764261,
2215949, 954499, 2871859, 1052821, 2240735, 4575975, 167965,
5411273, 1101913, 3493995, 1257699, 2535797, 5116665, 2584935,
290835, 1273861, 339981, 1101937, 241669, 643223, 2306467,
192553, 806925, 1274137, 3732309, 2461733, 249897, 708775,
864267, 3265153, 1888705, 2011237, 1273869, 421967, 2584629,
1888419, 4796483, 2945275, 3534955, 2486813, 5231631, 2339097,
1273969, 815285, 1077415, 1626221, 1298437, 1642773, 1912939,
913509, 446481, 1626141, 4223619, 340005, 323651, 1077487,
421955, 1593405, 1839107, 2535587, 2584655, 3715841, 3518885,
1888687, 782353, 1716447, 3101415, 2773539, 3510429, 1839283,
1814835, 2634275, 2240969, 249859, 3027635, 1274085, 1101855,
1151035, 249909, 2453655, 4256555, 1257723, 2060565, 1355835,
2527291, 2453695, 2699293, 1896905, 1593567, 929829, 1151157,
1528085, 323613, 2011387, 1077277, 610405, 5157811, 3494081,
1642563, 1716583, 2338899, 2216207, 4861957, 1257653, 462895,
1102017, 241695, 1110197, 3002981, 536617, 7059005, 2134213,
1896639, 2699445, 2134123, 4001919, 2281645, 929983, 4354641,
2240861, 806931, 1429787, 1200207, 1994963, 1273861, 3076575,
2044043, 4084283, 1675577, 1896807, 1503263, 741435, 684037,
446571, 2216133, 913413, 5066915, 1527935, 2904335, 3002547,
446561, 1913215, 1470733, 2585189, 1028137, 2773365, 1765387,
3371639, 2084875, 1527897, 708717, 1052913, 4133321, 2707647,
290821, 2699743, 1445917, 2535863, 2330647, 1429515, 1913163,
790589, 569391, 4026717, 1110069, 3117709, 4576053, 2453545,
1839213, 741459, 2707773, 2044115, 929859, 3395973, 339987,
1552389, 3223555, 241693, 913479, 1552737, 3363549, 1798205,
167965, 3322665, 3510523, 3854437, 1052773, 929805, 4476947,
3592631, 4182963, 1421421, 2535615, 2306241, 2772997, 733245,
2462033, 684045, 1962333, 3149895, 3313977, 569375, 1724835,
1503411, 1896779, 1995185, 94213, 929865, 1151043, 1503395,
929839, 4002103, 1355999, 1282299, 4624925, 3166435, 2674861,
1995089, 938057, 815187, 3977617, 2453613, 913475, 2904165,
249875, 2453785, 3633363, 1773879, 708621, 2060371, 1528155,
3223683, 2142489, 462853, 4297743, 1724517, 462855, 4059197,
1052733, 118797, 2339093, 1446169, 1110119, 864369, 6115495,
2338827, 176159, 3960921, 274493, 1626221, 2945113, 4149999,
1798205, 4231269, 2404699, 1151157, 1282161, 438351, 1282107,
1446145, 3117313, 1429797, 217091, 2797807, 4133057, 3510523,
1675271, 3879279, 2674845, 1355885, 339979, 2134465, 610335,
5772087, 4231359, 2625883, 1355913, 2044077, 340047, 1593711,
3264871, 118795, 806941, 2142365, 1626305, 2216037, 2945595,
2011155, 192523, 2486379, 1773831, 2044083, 708615, 2240585,
2339283, 2281525, 2461845, 176133, 1773767, 610375, 3731889,
1716351, 1200379, 1642653, 2707769, 151583, 1626117, 3838203,
1470487, 2535453, 2085087, 1962177, 1724543, 684045, 249869,
1642677, 2978361, 3715083, 1528007, 1888605, 2674939, 1429515,
815117, 569405, 1765725, 938091, 241677, 1429661, 1421317,
3002769, 1814589, 741387, 1593543, 167949, 2044391, 364603,
3076287, 413793, 3494457, 1355969, 2043911, 2699391, 1159335,
1470655, 1421619, 684183, 790581, 978947, 290869, 782365,
1077385, 2535495, 2142627, 708681, 1429547, 815145, 3264573,
1101837, 536581, 3609015, 1503269, 3101039, 938091, 4305653,
667667, 2134465, 1421401, 299015, 1527971, 1028323, 1200229,
561157, 1355865, 1716277, 2797725, 1773999, 1626419, 2404809,
4084085, 4346575, 2429199, 2085175, 4452483, 684085, 1724709,
2462267, 733267, 1298475, 3043467, 3493989, 2625819, 3076619,
2633907, 978957, 1773957, 323601, 1445995, 782373, 1765647,
3731913, 192541, 2486483, 5436131, 1101981, 741503, 3609007,
1798517, 1568949, 2527443, 1716507, 2085021, 241717, 938067,
6362521, 1569019, 446537, 3608775, 1257485, 1962003, 618605,
3002847, 1626153, 1446159, 1642767, 1470781, 4469335, 1568811,
4346029, 2699443, 4518579, 2871727, 684091, 3076505, 979015,
1257765, 274443, 667749, 2281665, 3396371, 733201, 1380615,
2486873, 1593543, 987263, 446507, 2363675, 3043479, 4084535,
1134825, 4599959, 1429695, 1077319, 815285, 413713, 1593391,
290829, 2978391, 77835, 4838085, 733213, 2830535, 864369,
1134653, 1773809, 2338955, 3494411, 569417, 3363255, 413769,
741455, 3511095, 69637, 520251, 806973, 1913163, 5337941,
3223973, 807001, 1675287, 1298589, 3387771, 4223289, 2060397,
1134819, 2134327, 1052701, 1552613, 1626395, 2429109, 118797,
806995, 3961311, 610377, 1429517, 1912929, 1429775, 1470565,
4722717, 4469103, 3732285, 1134633, 1527965, 807013, 69639,
2044035, 1159277, 1446045, 2429259, 1814557, 2830565, 3117363,
1962343, 2756889, 2871675, 3387585, 339979, 2699269, 323631,
1110155, 618555, 1355781, 274437, 1273987, 1298535, 2871433,
2216439, 1724645, 978987, 2535771, 45061, 53253, 446477,
2486669, 913467, 413793, 929983, 1552733, 241707, 4083989,
3534997, 6140287, 1773573, 733243, 2626153, 1282079, 1077361,
2510861, 1110023, 421905, 2773119, 1101841, 987285, 2331171,
1773597, 3387409, 4182333, 3002679, 2871819, 1626225, 2625607,
1716391, 3387915, 2773309, 2330835, 2044095, 1995035, 4379351,
3166213, 4002519, 1273935, 3878949, 1962183, 2363663, 2453641,
274437, 1380615, 2085367, 3715815, 5157063, 4150195, 1626393,
1527891, 1503291, 2142627, 4059327, 1773587, 4305723, 1675457,
929929, 2043945, 913515, 2339057, 536649, 2585063, 643139,
2011273, 536581, 3854997, 3535021, 1470571, 2404603, 2363415,
1445929, 2216015, 3224109, 2674915, 2510949, 954507, 1724693,
2306535, 979027, 2633775, 3027123, 520245, 684037, 1765567,
1380603, 5829527, 421977, 3166231, 1888587, 2699475, 1421539,
1200229, 954427, 684069, 1552457, 2527845, 2142407, 118807,
2756747, 733323, 4476933, 1298713, 2945175, 3510275, 2633895,
2085075, 1593655, 4026817, 618563, 413703, 3510379, 3027195,
790637, 2240955, 2699353, 1871985, 2240679, 5042179, 3002811,
1274083, 979033, 1527837, 2044221, 1839283, 708747, 3322245,
1298683, 2675335, 741395, 3510973, 733231, 1896477, 1282067,
4379477, 3264751, 3100751, 2650393, 2650459, 1101885, 4059243,
1134789, 1814541, 1380405, 8852967, 864453, 913607, 1527971,
462871, 274435, 1134597, 413739, 1077379, 1675323, 1282101,
815141, 733213, 1773965, 397325, 77835, 4575237, 1765399,
1642719, 249893, 561193, 3518883, 3363085, 1028307, 1151233,
1151133, 1274149, 1102047, 241701, 1445947, 446493, 2625955,
1110083, 1896531, 520209, 3388131, 1527845, 1110087, 1896465,
94213, 733291, 864449, 5846185, 2331057, 3854613, 1527921,
2338905, 3076287, 667775, 954597, 1913061, 2011207, 217125,
1134821, 1642593, 684049, 1028193, 3436711, 2453509, 1298515,
1724657, 1355915, 1470771, 1110239, 5574883, 1470795, 684115,
1446115, 6025635, 2773609, 1896867, 2527509, 1912891, 1052745,
1626449, 3518973, 1552715, 3510403, 69645, 2650179, 2453947,
1429547, 1150995, 610333, 126981, 1282061, 53253, 1568907,
1962121, 1871951, 790659, 1356027, 2633979, 2871349, 4600395,
1257755, 1839385, 274469, 741549, 520253, 708675, 1421319,
733245, 3321953, 3396407, 462921, 299025, 1962301, 6140271,
3371495, 806949, 1552731, 3027677, 4255805, 4084019, 1773731,
2453733, 2011225, 610431, 1626119, 1798533, 1446151, 7303919,
1159449, 561219, 1134815, 1159221, 610341, 2527495, 3076101,
1446235, 1503261, 1052685, 4494289, 1675611, 3002757, 2134083,
3395603, 4182147, 2708019, 1077255, 1380503, 1527921, 3617019,
1716331, 2871487, 3715101, 4452665, 1159307, 1052845, 1568941,
3535201, 3617399, 1716291, 1593585, 2306161, 3510835, 1151085,
2060485, 421893, 2707787, 3518595, 4624701, 2011149, 643143,
1552431, 1298435, 1134695, 1429607, 3044019, 2707845, 2330629,
1110197, 7418617, 2060319, 1470691, 1814655, 1101853, 2699907,
3265203, 929853, 979095, 2338821, 954525, 241669, 2216285,
1503237, 5338097, 6321609, 1282341, 1134825, 618507, 954465,
1626269, 1110129, 2756759, 2625733, 1028275, 1773581, 3362995,
3076605, 782439, 807001, 2625937, 7467301, 782425, 1257729,
536703, 462891, 3150465, 3149885, 2060499, 323651, 2462267,
3715635, 1134605, 1912843, 1151047, 2240585, 1200229, 1298583,
323597, 3313845, 2527563, 5869573, 241677, 561165, 217129,
1888353, 6320981, 4182827, 3519165, 864369, 2675077, 2453517,
807013, 3633199, 2650669, 1765525, 806941, 1151127, 2650575,
2043907, 2797987, 2461869, 1724421, 1773605, 1773717, 1257743,
2626105, 733243, 364615, 2142375, 1151203, 708691, 3149955,
4001865, 364557, 2011141, 2707707, 1552617, 520293, 1429547,
1724429, 1077291, 561235, 2650263, 790551, 1896507, 1446085,
2486375, 1994951, 643181, 397401, 1626449, 2798175, 3961559,
2699443, 708705, 462889, 5116935, 1110033, 6387097, 1962235,
53253, 741515, 2830979, 1765549, 1642833, 1421413, 1913199,
1503455, 5116637, 340021, 2240595, 1995185, 1200139, 2331021,
913605, 3002625, 3961379, 2462045, 1159395, 1274013, 2675235,
3149913, 569451, 1110117, 3264753, 397317, 2797597, 2281663,
1273899, 4624931, 2338989, 1470493, 2404909, 2486583, 1798491,
2798029, 741435, 1380405, 2527579, 1445985, 1355969, 1724429,
1470715, 4150087, 1503333, 807013, 1626153, 913421, 4223073,
864437, 938181, 1994963, 2429179, 1995033, 2429029, 4297161,
864317, 684037, 954597, 299019, 364617, 4517893, 118797,
364549, 2134243, 1839285, 520301, 1962447, 5657249, 1773989,
2085145, 2830347, 3519225, 1528161, 2633751, 176141, 1282051,
1429643, 2634005, 1380381, 929919, 299069, 3076653, 1593357,
1961997, 2977797, 733291, 1871981, 1569099, 815241, 299045,
2330803, 4346589, 1159407, 1798275, 1282241, 4796499, 987309,
2453517, 610351, 3002937, 1446067, 1765725, 3313981, 782443,
1028109, 2060667, 1962291, 3002675, 1282325, 2142557, 4378755,
2363529, 339991, 864303, 782433, 708625, 929823, 1200397,
1028163, 1134719, 4985281, 1994943, 167965, 815277, 413767,
3805197, 1470811, 618575, 3101055, 1282119, 1298713, 1994919,
1274055, 3715271, 5599665, 1110089, 2134077, 1568979, 1274139,
954385, 684163, 1134825, 1421349, 1724649, 2830907, 118797,
1962451, 1380423, 4305539, 3535237, 790635, 733297, 3494079,
2330737, 3314307, 938013, 3117795, 3519141, 4174173, 929899,
1773605, 2142213, 684055, 3101031, 1159395, 1503473, 1421553,
1077315, 1773797, 1503423, 2060395, 1724553, 1077487, 938027,
2060571, 1503395, 151563, 667761, 1888387, 167943, 397355,
741473, 1552427, 1355823, 6074607, 77837, 1298463, 1356039,
667661, 1110249, 864437, 1134825, 1282245, 3903721, 733297,
5313021, 1716505, 2871799, 1642725, 790655, 1355817, 954411,
1765473, 4452945, 2707767, 7696511, 2306109, 1503291, 2338853,
1724457, 1814937, 3396045, 446531, 4837843, 815127, 1446205,
1110143, 1888677, 610375, 1569081, 1470795, 4182413, 151583,
2486451, 3363073, 1028139, 3100965, 2060377, 815277, 2625579,
2871447, 3224183, 684129, 397349, 610357, 1028259, 1282197,
1159307, 3437197, 1773921, 1470775, 364581, 1675631, 2675149,
2240585, 2282013, 2142219, 241681, 913557, 1421593, 561199,
1642509, 364549, 4297651, 643145, 3224313, 3076727, 2773483,
2756771, 3436581, 2708075, 1994769, 3264891, 1077487, 249859,
1200141, 5411769, 741555, 167973, 708705, 4346515, 643085,
1273965, 610363, 1355885, 1110095, 3387901, 364549, 1593375,
1110123, 610309, 938181, 938177, 1724525, 1257639, 806979,
1724583, 1626491, 3518925, 1871895, 290859, 1872311, 1257663,
3732049, 913619, 2085045, 290869, 1355885, 954439, 1552613,
1273885, 2142459, 1282145, 413707, 2043917, 2060671, 3166561,
1282151, 364563, 3322205, 1642693, 3731895, 4026439, 4354689,
3617207, 299045, 421893, 1257723, 954525, 1888513, 2904215,
2404383, 446469, 2527695, 1421421, 1150999, 979005, 3265263,
2044103, 2462135, 2240871, 618499, 2404531, 1773957, 561175,
2240651, 3764793, 3076197, 249869, 2142255, 1593651, 3027507,
3396087, 643115, 1077385, 2584605, 569447, 1052911, 438345,
2142437, 929959, 741473, 3617355, 1298739, 4714539, 733257,
2699455, 4355019, 987287, 643077, 708721, 2461965, 1839147,
2756957, 1110267, 1028263, 1134603, 1052713, 2240643, 2756747,
3592197, 1257515, 610417, 2699269, 782449, 1102023, 1716495,
1724699, 2675235, 5156935, 2215983, 2404405, 3265213, 1552757,
929859, 3519147, 217131, 561157, 4575371, 684085, 1159419,
3494711, 1503459, 815277, 1568829, 913467, 413737, 2527543,
1773719, 1429737, 77829, 2216213, 1773707, 4919909, 1593441,
1896821, 610309, 1552397, 2338889, 3101355, 1888675, 954421,
1872011, 2216037, 2044017, 2511077, 2142287, 2142647, 1773885,
913605, 2773141, 1872255, 1798481, 167955, 274485, 1151115,
2707629, 979051, 1151005, 3732033, 1913011, 299049, 2634041,
1896641, 618605, 1282287, 1077327, 176147, 2404435, 790559,
2510877, 2240523, 1642627, 643185, 1503299, 2240531, 1151127,
1568797, 3224013, 2461977, 1273939, 561169, 2584617, 364623,
1994925, 1282359, 708681, 2675127, 2486319, 4231527, 1200133,
815145, 1716277, 1298589, 6345413, 3314227, 569349, 1896545,
741435, 2306197, 3519165, 929859, 1675461, 1429733, 815157,
708717, 1134783, 1888285, 2650141, 3903687, 339973, 929875,
2945029, 1134743, 2060467, 2240663, 3715745, 3043981, 1470747,
2871367, 2404735, 1077261, 4174191, 5035005, 1355907, 1995021,
1110125, 815255, 1994933, 2756891, 364627, 2085351, 364627,
979137, 2773305, 1101981, 1871975, 569423, 94221, 561163,
249909, 1626351, 741513, 1962451, 1134803, 561235, 1421335,
5927085, 987263, 929919, 1994951, 1200309, 2707889, 1429541,
1724553, 3314407, 1110087, 1298515, 1503543, 3396201, 2044335,
929851, 536703, 3519275, 1159229, 3166687, 3731947, 790541,
643179, 5329993, 2756921, 929797, 4837389, 2674887, 1446039,
1503335, 815145, 929929, 1257509, 1798227, 937997, 1798157,
1724615, 1568821, 2650579, 1429655, 446487, 2453893, 643209,
3609235, 987245, 2085087, 618605, 2084977, 2486373, 3321917,
4968795, 1642623, 438277, 782415, 339999, 815135, 1765389,
1814839, 2338877, 4378691, 2404503, 1159251, 5895295, 176169,
1298563, 3616875, 708765, 77837, 5845075, 1527981, 667731,
2134153, 987315, 1110207, 3510513, 938063, 2331013, 3387853,
1896537, 1527915, 954465, 421931, 536589, 1429613, 4182105,
1028107, 2134033, 2830725, 2240969, 1257599, 1052731, 1380413,
323655, 4223293, 1765549, 1913125, 1724615, 1839231, 2085195,
323657, 741473, 806979, 2306185, 815207, 2404549, 2338823,
1503525, 1593697, 5951525, 2585183, 2527305, 2904131, 864395,
217099, 2281581, 4059155, 2429337, 2978213, 462907, 3534997,
938013, 1839301, 913497, 3166519, 782463, 561165, 667785,
2085045, 1569039, 2830877, 1913065, 2306107, 1421469, 3494565,
3387619, 1200411, 1872009, 4132953, 643119, 3223973, 938055,
1134623, 2142687, 5944005, 913413, 4354749, 3592869, 520215,
1724447, 741395, 1052743, 2871363, 708619, 1765555, 126989,
151569, 4084649, 1134609, 1052709, 1716261, 3313765, 2142627,
2306589, 1568941, 217131, 733197, 1150979, 667779, 5952371,
3264543, 2707887, 1675373, 1077253, 2585097, 1724733, 3519065,
3879333, 782355, 2904741, 1355957, 1134731, 536647, 53259,
1380603, 1159221, 1896857, 2044197, 807079, 2306145, 1765525,
2142665, 1101981, 241677, 4027009, 3314205, 536635, 913415,
815213, 536583, 339973, 1896729, 1626135, 5231283, 3960845,
2904177, 1871895, 2330691, 1077447, 2281873, 3837957, 1110267,
1913029, 2429389, 2830757, 2633817, 1675365, 1110167, 913509,
708765, 2511389, 987333, 3903601, 2756639, 3076109, 2216315,
782463, 176139, 4133133, 3043695, 2134021, 2797675, 4256777,
618515, 4149517, 3322617, 1200159, 2584893, 815109, 1798415,
1994865, 2306059, 1765399, 364627, 1151083, 1159407, 1503321,
2134327, 2699415, 1257765, 1675317, 3396285, 1798493, 2363423,
987189, 561165, 1356003, 274437, 1527975, 2871969, 1429671,
446477, 536623, 3395663, 2134507, 1962415, 3166221, 1642653,
1994765, 4862011, 2945127, 3764313, 3314205, 1912855, 1642663,
340041, 413749, 1470615, 708721, 4059999, 2363703, 1872293,
3362955, 2142335, 2756717, 643155, 979075, 290869, 1470601,
2904231, 3437001, 2871979, 1101973, 4838029, 1200157, 1134731,
2527719, 979101, 2633741, 3593015, 4862005, 1429817, 4493349,
2330763, 1626309, 1814701, 2633879, 6639827, 4600829, 1888275,
421941, 1134699, 610413, 2650389, 1568869, 2461733, 4256165,
446477, 1912905, 4084395, 1503585, 1913221, 1528115, 3715613,
2527695, 4575585, 2084923, 3100685, 2871463, 1912915, 1839123,
3044029, 3977785, 2084877, 667787, 1814811, 5894317, 462871,
1298451, 929805, 708613, 1765449, 2085195, 643145, 1675361,
290839, 667761, 3395711, 1626339, 446525, 4493709, 1765429,
3633535, 2044337, 2461709, 782349, 1052869, 1134611, 3313927,
733237, 667691, 2674851, 2134413, 3519137, 1724477, 1356009,
618509, 1527845, 6590483, 5657133, 2363913, 397323, 2978249,
1568947, 1527999, 708627, 217107, 815183, 3838301, 1569105,
5256261, 2404609, 1962367, 2134465, 1446099, 2625903, 1110029,
1355829, 2797669, 1257701, 708771, 733273, 2011215, 1151239,
1871915, 1962301, 643179, 1626215, 4920287, 2338839, 1593483,
978957, 5067615, 2134213, 1593475, 3043435, 987285, 2708027,
1134815, 2650339, 4084481, 2011419, 2797731, 2216109, 1913061,
1356053, 1913271, 1626125, 684073, 2945641, 2404459, 6639885,
3166317, 708625, 2707517, 290845, 446505, 807093, 2486715,
4379487, 2085001, 2945697, 438313, 3101021, 1503549, 2240525,
1429737, 4002291, 2216117, 2511395, 462861, 979111, 1528089,
397355, 2306595, 2453617, 938043, 790571, 3388093, 1569105,
1470475, 1527815, 2904431, 1765465, 1798481, 1995021, 2830653,
1429761, 1052677, 2330665, 561219, 2584619, 2363541, 1675361,
241701, 2331147, 2134257, 1052839, 2535737, 7811109, 1298743,
3314257, 1028197, 1150987, 2142651, 2084973, 1995099, 3805893,
864261, 2011143, 2281485, 4001823, 1675535, 2486781, 323615,
2904083, 192549, 937995, 3854349, 3592245, 4985319, 340047,
913559, 1101865, 118789, 815213, 790685, 2945623, 1028227,
1913289, 1798147, 2536001, 77829, 2330857, 340005, 323613,
2535987, 3314053, 1503539, 790665, 2363585, 3609037, 1528065,
1814685, 1716487, 979101, 643133, 684103, 930015, 5034703,
3363007, 2633765, 5354755, 1102035, 2216015, 1282107, 938123,
438303, 1446045, 1888467, 1552653, 667685, 2429199, 1962315,
1995209, 2428941, 1200133, 3117183, 1593373, 1101897, 4920215,
643131, 3494331, 1642509, 4001805, 1798385, 3519111, 4026429,
3166407, 2281971, 4797363, 3044001, 2871955, 4002619, 1446111,
1773669, 1380551, 2134213, 1675325, 1380371, 978991, 1773879,
3535141, 1470747, 323601, 2486511, 1888489, 864363, 2453857,
1077459, 4378713, 2625573, 2830359, 5009781, 2044263, 1839415,
1675613, 864363, 667661, 1298715, 815141, 241687, 1552427,
1568881, 126999, 1568829, 2699811, 1503525, 618537, 3518655,
290821, 3387451, 610333, 2871949, 1569079, 1642515, 2011245,
1298725, 397349, 5600223, 1765435, 2363855, 1814907, 1642575,
3715245, 1814761, 1716613, 3321995, 2306215, 290847, 323595,
3388153, 1028275, 979155, 618593, 1839151, 274463, 1101975,
2626107, 1593691, 1962015, 3314437, 733335, 815241, 929949,
1773671, 1503411, 2011375, 569417, 2510859, 299015, 2625687,
1814929, 397329, 1552511, 954567, 20483, 3314143, 3166539,
3715125, 1724769, 2535915, 1273987, 1200235, 5009505, 151565,
3371157, 2871775, 1159295, 2044031, 53253, 1110125, 1380593,
733341, 446505, 3436825, 3166669, 2756711, 3633835, 274451,
643103, 1446201, 2773651, 397383, 1896509, 979005, 1159181,
1159305, 618579, 413707, 1257561, 708625, 4625435, 1470661,
520203, 536643, 3101373, 708759, 1298445, 3387499, 5034847,
2060401, 3117465, 1593637, 5730825, 1421619, 176141, 979141,
2216367, 1962241, 3511095, 1675665, 126995, 1257579, 1888513,
1134731, 1150989, 929881, 536629, 4797477, 2462079, 2330685,
1446087, 987153, 53255, 708687, 929971, 954565, 806971,
1552577, 1110033, 1552697, 1298493, 2240793, 2510999, 618633,
1962393, 397355, 1159205, 2281555, 4346497, 3960905, 815121,
2584713, 684189, 864259, 2511185, 3535201, 2633837, 2453517,
69637, 2306155, 1765587, 1724595, 1052709, 741443, 929803,
1569075, 1626117, 2084967, 1200339, 2707463, 1814677, 2404923,
2060419, 2535873, 3592715, 2707517, 1527971, 340005, 2699613,
176141, 2330907, 1503455, 954495, 954519, 1642527, 5338319,
610357, 1773765, 5828801, 2142437, 1200309, 1257555, 2306319,
3363589, 2871649, 1298435, 1282215, 5034031, 2461715, 1642777,
782347, 5402751, 1552565, 1101885, 2060461, 28677, 1077477,
1134833, 1380531, 1798241, 3838595, 2281699, 1995045, 3838629,
2011467, 1355843, 1626383, 2216367, 1101841, 1134719, 217099,
2240955, 3101031, 815147, 2585039, 2281515, 979075, 1503509,
1552515, 979111, 1380363, 561195, 1839297, 2142371, 3879039,
1077295, 1429613, 987225, 1765387, 1470477, 1798211, 6271167,
1896515, 446493, 1298671, 2773065, 2945355, 1839171, 1110045,
1872293, 1282077, 1200231, 1282187, 462861, 2306437, 1888275,
4182083, 1421569, 684045, 3322497, 1765605, 2625799, 1445947,
2330857, 3043681, 1642567, 536593, 397349, 1102065, 3223845,
5157433, 2773053, 938165, 1445959, 1159229, 929845, 1470613,
1257669, 1355781, 4256663, 1298491, 1839381, 4297501, 1110105,
45061, 1724553, 217091, 815267, 1077379, 1298473, 274491,
1593697, 913421, 1872179, 2486721, 1872185, 1503269, 2429025,
3715473, 4468903, 5952737, 1257525, 1716325, 864285, 864279,
667679, 2535755, 1110195, 4723709, 299061, 667799, 741407,
2011417, 1159439, 2216285, 1151173, 1552541, 6951051, 1527947,
569475, 987245, 364573, 1200319, 1896645, 2240553, 569391,
1110285, 741389, 1765485, 1052853, 929845, 274445, 397317,
438285, 979005, 913545, 397343, 806983, 864363, 987369,
2043975, 4059533, 561231, 2584757, 1593585, 1527897, 2871403,
1528019, 2281485, 2060291, 421901, 1282061, 1593607, 3494355,
2306119, 299013, 1429671, 3166261, 1552665, 667667, 2871873,
241669, 3044001, 3518747, 1159445, 2904173, 987147, 2084961,
1962363, 1626309, 2977889, 397355, 913581, 815267, 1077385,
2453905, 2584589, 3002721, 569481, 1888383, 1470507, 3150263,
3371781, 1872291, 3076619, 1298511, 2306589, 339999, 2633867,
2584677, 3265105, 1527825, 1380465, 2757041, 864315, 3313743,
2339013, 1159395, 413707, 2453641, 2085195, 2461793, 2044175,
5854505, 5239541, 249909, 708621, 1077327, 69645, 1380355,
2511207, 913427, 2634315, 610393, 2633835, 3149975, 1134849,
3592793, 1380621, 1675377, 2330863, 3027317, 3076727, 2216399,
741443, 397371, 5771361, 397373, 3732049, 536665, 2625853,
864345, 1593415, 3166407, 1445935, 2707805, 2044145, 1962021,
3117657, 1298715, 2634111, 1716463, 1568865, 3100839, 1429695,
3166545, 1257533, 954409, 3879469, 53253, 446501, 1569127,
5354383, 1527813, 299025, 1913293, 413779, 815297, 1913179,
1298631, 3510651, 364627, 1282319, 987335, 3002717, 1962135,
1470561, 1028185, 1052745, 929853, 1503305, 2404773, 1028307,
3519095, 438343, 3960893, 1995161, 618567, 299069, 3396005,
1839493, 741407, 3518691, 2084887, 217117, 274455, 4027227,
978957, 536589, 1798233, 3592793, 5338175, 4723817, 1913095,
4518879, 2945581, 618569, 2085171, 3027185, 3002735, 913421,
4468815, 979041, 1445925, 1028115, 1028289, 2060647, 618507,
1298715, 299045, 1675283, 2453611, 2306221, 2904485, 5599723,
1134689, 53255, 3371601, 3510373, 2650423, 864303, 4715593,
667661, 1798541, 561231, 4083995, 1421623, 815253, 3436953,
979081, 741435, 1445907, 3903765, 2306281, 446507, 1429601,
1110147, 4379511, 2454051, 3100899, 2584995, 2674747, 1724555,
987369, 2011287, 249915, 3224213, 5312571, 4518067, 2707767,
979071, 438303, 3494181, 667785, 1052863, 2044133, 741381,
3363265, 1527965, 643185, 1716231, 2363741, 462957, 643209,
569387, 3117087, 2511141, 2011363, 1626461, 1110027, 1724795,
323631, 1642729, 2511395, 569373, 3437005, 520245, 1675269,
2675331, 1110045, 1159449, 2043951, 1110119, 913431, 741419,
741417, 1151199, 1159197, 1445895, 667805, 987327, 2429469,
1470577, 4231229, 667695, 2626099, 1912959, 2830757, 2363429,
3510277, 864383, 561213, 2011387, 1470525, 1257753, 1839175,
3436701, 1159305, 536659, 913481, 413727, 3076335, 1380581,
290875, 3043609, 413763, 1421493, 1568967, 2945601, 249861,
3027183, 929985, 1675541, 1552467, 1298665, 1552715, 4494003,
413715, 1626155, 807075, 364627, 2338829, 3166671, 929805,
2330961, 2011405, 2535777, 1257653, 6386277, 954579, 1626123,
1470577, 3633289, 2699487, 299055, 4173861, 3494519, 1798197,
6542193, 3731959, 1552511, 1200235, 413703, 1527813, 3715833,
1896461, 4223737, 1028325, 2216147, 2404839, 2142251, 2625663,
1528041, 2060671, 1839303, 4149439, 2338875, 3395963, 2216439,
2584727, 2216375, 2330847, 536617, 1077261, 1568829, 1102017,
2945091, 618527, 340009, 1052899, 5575389, 1626131, 2707613,
1298563, 2486471, 3978163, 684093, 1552701, 3437143, 2085061,
708645, 2486409, 7001125, 3518661, 1200139, 462859, 3076697,
3322509, 299069, 1724649, 1527975, 4518709, 3715901, 176141,
413709, 4173925, 3166287, 1257683, 2404783, 249915, 446505,
3002735, 45061, 1888363, 569411, 2650675, 2462045, 1642603,
5329069, 2142357, 1913215, 1569051, 1814757, 462859, 643131,
1257513, 1888437, 1994985, 1077405, 2535665, 1888533, 217093,
217101, 1470603, 684129, 733267, 938097, 2011467, 462879,
2043907, 1552455, 2650683, 987293, 1552443, 3903729, 667689,
929835, 708765, 1913265, 1896587, 536649, 815115, 4723179,
4002019, 708687, 807021, 938175, 3731553, 1593723, 1274007,
217095, 782373, 2060709, 561211, 979141, 3314037, 1503501,
2486339, 2584599, 2338839, 2633807, 3371685, 2404405, 1716481,
1642827, 1429583, 643101, 3223703, 5337105, 3322149, 1077349,
1110155, 2707461, 2830923, 1888323, 2011503, 6829431, 782341,
610309, 1814565, 1552407, 2511389, 987219, 2240541, 2338833,
1298439, 3977263, 1765633, 2404753, 1814637, 1446015, 1273897,
2625589, 2674695, 2044347, 937995, 3854365, 2011315, 1445907,
1528101, 2486849, 806925, 3371171, 1159449, 2330721, 6271727,
3879505, 2904117, 1077309, 53253, 3371579, 1962333, 1151005,
2363703, 610323, 2625667, 1962295, 1274037, 3264691, 1101837,
1994949, 1872273, 2757009, 1995003, 2330635, 1421365, 954477,
2060619, 708687, 4346097, 3101159, 2486693, 3027585, 1872189,
2142245, 2215959, 3854779, 5575357, 806973, 2363853, 1872063,
8163885, 1839231, 3166389, 3043395, 520253, 1724835, 1642779,
708775, 2978181, 167965, 806923, 2527245, 1593405, 5976711,
6026073, 807063, 5280315, 2830907, 299039, 3609139, 1839355,
151583, 708747, 4059905, 2011143, 2626035, 3854425, 1077265,
4223569, 2330775, 1470801, 2216117, 2281951, 1470595, 561183,
815123, 1626491, 241705, 2085093, 3535077, 4796709, 2675319,
3395993, 1962427, 438343, 1429733, 806991, 2756991, 864395,
4305317, 2011245, 1528139, 1200295, 192549, 1839471, 6665451,
1896785, 1913211, 1552613, 2060619, 2404855, 929971, 2535813,
1077259, 2634305, 1569037, 3731565, 806959, 2708063, 2363463,
3838145, 2674881, 340039, 1200259, 643143, 2462055, 1273929,
520271, 979107, 1913023, 3224001, 929991, 1257735, 2699811,
2708043, 3264711, 1552697, 1151205, 364581, 2707697, 5288115,
1773957, 1282067, 643101, 462861, 1552437, 4797519, 3879225,
438289, 3002381, 2404489, 1798293, 1273927, 2633979, 167955,
1151037, 864293, 1446225, 2306079, 2585183, 1839441, 561235,
69645, 2585009, 1593537, 3117505, 3101181, 806929, 1052731,
2904707, 2510951, 782397, 2977803, 1429797, 4453401, 3879529,
1380533, 1273869, 1568797, 1896837, 684121, 2584977, 274493,
2757267, 1888467, 1814805, 1200225, 2339373, 1380663, 1052803,
2044145, 1527891, 618533, 2281651, 2339133, 192529, 1724765,
1159445, 1151083, 937989, 954547, 5034235, 2977929, 2060707,
438319, 2461725, 2404551, 954379, 1773881, 2044167, 2797699,
2044383, 2134125, 2429025, 3264823, 2461947, 3264955, 2011443,
1675617, 2060779, 1994759, 2011273, 1110021, 782467, 1052821,
3593013, 3027491, 1994925, 2043963, 3076515, 438303, 2798029,
954373, 5239893, 987315, 741483, 1355795, 1273897, 3387673,
1716261, 3854433, 2625769, 176165, 1765669, 438309, 667757,
929895, 1839543, 741465, 438277, 2453557, 2338905, 2134189,
520239, 6190207, 1470517, 1200237, 2978139, 1872165, 2240693,
610335, 1675461, 3117129, 1642869, 1871883, 978963, 2134209,
1773597, 3633745, 5067521, 806983, 1716261, 979041, 2798139,
1380411, 1110167, 864323, 684075, 5337531, 3396395, 1110249,
1077429, 2240669, 2634161, 241717, 1503369, 2634177, 53253,
3313669, 2584707, 1470469, 610311, 2429337, 1593601, 790637,
1282229, 1528035, 1110147, 1896509, 2060511, 3592271, 6812037,
2486343, 1814629, 1912845, 2486529, 708669, 733333, 323589,
1872035, 3731965, 3436813, 421911, 1429517, 1257701, 2142515,
2830775, 2282019, 2461907, 5287989, 2339109, 1200217, 815163,
708619, 1527813, 3592461, 979093, 1159437, 1257485, 1159235,
1962087, 1257515, 2084905, 1724435, 1888335, 364623, 782433,
569349, 667755, 2060439, 1716603, 2871613, 1962057, 53253,
708621, 2830967, 1839115, 3150581, 708621, 667737, 2511371,
2707517, 151563, 938015, 2773173, 1593423, 1765515, 1675637,
5035047, 1445997, 3322469, 2011225, 1257729, 618525, 2429209,
1101853, 1429835, 77837, 2757255, 1445925, 4182897, 1675647,
1765617, 2404365, 1675305, 3518471, 1298475, 446525, 2142359,
6606877, 2363793, 1962381, 3076485, 782517, 2486399, 1503431,
2060331, 4149561, 1896641, 1282187, 937997, 815109, 6812445,
3592949, 2306527, 618549, 2453821, 790659, 1257663, 5010091,
790539, 2428995, 3027545, 3608619, 3715935, 4493943, 4493815,
733267, 4575243, 4354905, 1528157, 2535587, 2978025, 1134821,
1528001, 4059293, 1568829, 979027, 1028169, 2134021, 2871369,
4575237, 1159187, 151565, 5600553, 815133, 733207, 1429523,
2404449, 2773453, 2363801, 684133, 3715901, 864261, 2060479,
4182749, 815217, 1470705, 413715, 274455, 3534919, 1380591,
2306077, 2461923, 446469, 6952201, 290847, 413749, 561255,
3535335, 4173981, 1200285, 3076689, 2461887, 3223619, 610347,
8082501, 2429329, 77837, 6419093, 2650569, 807103, 1110075,
667685, 2215973, 1200139, 741483, 1798241, 413715, 2904215,
3854587, 3633913, 2060775, 1994755, 2404785, 520233, 1765599,
1724565, 1503245, 1888413, 2510867, 3961169, 1552641, 708679,
733215, 1503489, 1421409, 1356059, 4862229, 413701, 151565,
290821, 1380533, 1028289, 3715781, 2527389, 151555, 782353,
782485, 954481, 1503585, 2633747, 2535771, 3732225, 1429737,
3903541, 1421379, 5239661, 1200411, 520233, 1470507, 2453617,
2453565, 5288999, 3027293, 1888423, 2134447, 151581, 2453797,
618509, 1773671, 2462159, 2338845, 807019, 2404453, 3076485,
1994771, 299015, 2330905, 3002457, 5035023, 987177, 5034631,
3265131, 3117733, 3076749, 1470703, 4084521, 2339169, 3371741,
1528157, 1962403, 1503303, 1200307, 3805651, 1716331, 176141,
1896549, 1257651, 2011515, 2708075, 2453913, 1298437, 782347,
2240849, 2306199, 2011483, 3396335, 1102063, 3362965, 2453653,
4083795, 249899, 954507, 1912903, 1421395, 2241015, 1151043,
3960921, 6238717, 2338845, 1110063, 3387501, 618501, 520251,
536629, 4452983, 1110039, 684163, 643169, 3395637, 815201,
1527989, 3633925, 1077345, 2306247, 1593615, 2535653, 1273993,
1527935, 3387465, 1110239, 5402733, 2363429, 684135, 2339097,
1839397, 1134639, 3633573, 3224199, 4296711, 618557, 4232087,
864329, 3313815, 536581, 1716333, 3043851, 569475, 1429731,
938097, 413785, 3101009, 1642753, 684181, 3436707, 1200391,
610321, 6140001, 1839385, 3371021, 1470757, 1429547, 1871939,
3100899, 1962165, 1028113, 3396033, 2699871, 2084877, 807085,
2461709, 1200139, 1134671, 339981, 3224129, 1527811, 2044137,
1421349, 1896455, 2085261, 2945403, 3166275, 4223985, 3879489,
1470691, 5238921, 2306115, 2338869, 3076443, 1593601, 6665745,
3027563, 2584827, 1568773, 413733, 2511159, 1134783, 987149,
1773665, 1159229, 610377, 2633817, 667677, 249887, 1569135,
1274127, 94221, 2650285, 1716267, 5255631, 1446067, 2134153,
151581, 364627, 1159395, 3371681, 806917, 1626501, 1994943,
1052733, 938157, 4714687, 1429835, 3117093, 1159407, 3633595,
2306397, 1159331, 2043909, 2240625, 323613, 2084869, 1380419,
610311, 1355907, 3592301, 1159359, 2215967, 249867, 1421491,
176159, 462955, 4223895, 618549, 462921, 5313129, 2634081,
1962385, 3854629, 5574849, 1446165, 2363643, 3043585, 1355805,
3265033, 643075, 987219, 561279, 2330773, 167941, 3838349,
2674881, 176157, 3592305, 610365};
auto exp = [](lint a, lint b, lint n) {
lint res = 1;
while (true) {
if (b & 1) res = mul(res, a, n);
b >>= 1;
if (!b) break;
a = mul(a, a, n);
}
return res;
};
auto is_SPRP = [&exp](lint n, lint a) {
if (n == a) return true;
if (n % a == 0) return false;
lint d = n - 1;
int s = 0;
while ((d & 1) == 0) s++, d /= 2;
lint cur = exp(a, d, n);
if (cur == 1) return true;
rep(i, s) {
if (cur == n - 1) return true;
cur = mul(cur, cur, n);
}
return false;
};
if (x == 2 || x == 3 || x == 5 || x == 7) return true;
if ((x & 1) == 0 || x % 3 == 0 || x % 5 == 0 || x % 7 == 0)
return false;
if (x < 121) return x > 1;
if (!is_SPRP(x, 2)) return false;
uint64_t h = x;
h = ((h >> 32) ^ h) * 0x45d9f3b3335b369;
h = ((h >> 32) ^ h) * 0x3335b36945d9f3b;
h = ((h >> 32) ^ h);
int b = bases[h & 16383];
return is_SPRP(x, b & 4095) && is_SPRP(x, b >> 12);
}
// Pollard's rho algorithm
std::vector<lint> factorize(lint n) {
if (n == 1) return {};
static std::random_device rd;
static std::mt19937 mt(rd());
auto trial = [](uint seed, lint m) {
auto gen_rand = [m, seed](lint s) {
return (mul(s, s, m) + seed) % m;
};
lint interval = mt(), x, y = m, r = 1, q = 1, ys, g;
do {
x = y;
REP(i, r) y = gen_rand(y);
lint k = 0;
do {
ys = y;
REP(i, std::min(interval, r - k)) {
y = gen_rand(y);
q = mul(q, std::abs(x - y), m);
}
g = gcd(q, m);
k = k + interval;
} while (k < r && g == 1);
r *= 2;
} while (g == 1);
if (g == m) {
do {
ys = gen_rand(ys);
g = gcd(std::abs(x - ys), m);
} while (g == 1);
}
return g == m ? -1 : g;
};
std::vector<lint> res;
lambda_fix([&res, &trial](auto self, lint m) {
if (is_prime(m)) {
res.emplace_back(m);
return;
}
while (true) {
lint f = trial(mt(), m);
if (f != -1) {
self(self, f);
self(self, m / f);
break;
}
}
})(n);
std::sort(all(res));
return res;
}
}; // namespace FastFactorize
/**
* @title FastFactorize
*/
#line 4 "test/yosupo/factorize_fast.test.cpp"
int main() {
int Q;
lint a;
std::cin >> Q;
while (Q--) {
std::cin >> a;
if (a == 1)
std::cout << 0 << std::endl;
else {
std::vector<lint> res = FastFactorize::factorize(a);
std::cout << res.size() << ' ' << res << std::endl;
}
}
}