結果
問題 | No.502 階乗を計算するだけ |
ユーザー |
|
提出日時 | 2020-09-15 01:16:38 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 22 ms / 1,000 ms |
コード長 | 15,484 bytes |
コンパイル時間 | 4,422 ms |
コンパイル使用メモリ | 195,648 KB |
最終ジャッジ日時 | 2025-01-14 14:53:07 |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
other | AC * 52 |
ソースコード
#include <bits/stdc++.h>using namespace std;template <class T> inline bool chmax(T &a, T b) {if(a < b) {a = b;return 1;}return 0;}template <class T> inline bool chmin(T &a, T b) {if(a > b) {a = b;return 1;}return 0;}#define DEBUG#ifdef DEBUGtemplate <class T, class U>ostream &operator<<(ostream &os, const pair<T, U> &p) {os << '(' << p.first << ',' << p.second << ')';return os;}template <class T> ostream &operator<<(ostream &os, const vector<T> &v) {os << '{';for(int i = 0; i < (int)v.size(); i++) {if(i) {os << ',';}os << v[i];}os << '}';return os;}void debugg() { cerr << endl; }template <class T, class... Args>void debugg(const T &x, const Args &... args) {cerr << " " << x;debugg(args...);}#define debug(...) \cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debugg(__VA_ARGS__)#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl#else#define debug(...) (void(0))#define dump(x) (void(0))#endifstruct Setup {Setup() {cin.tie(0);ios::sync_with_stdio(false);cout << fixed << setprecision(15);}} __Setup;using ll = long long;#define ALL(v) (v).begin(), (v).end()#define RALL(v) (v).rbegin(), (v).rend()const double EPS = 1e-7;const int INF = 1 << 30;const ll LLINF = 1LL << 60;constexpr int MOD = 1000000007;const int dx[4] = {1, 0, -1, 0};const int dy[4] = {0, 1, 0, -1};//-------------------------------------template <int mod> struct ModInt {int x;ModInt() : x(0) {}ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}ModInt &operator+=(const ModInt &p) {if((x += p.x) >= mod)x -= mod;return *this;}ModInt &operator-=(const ModInt &p) {if((x += mod - p.x) >= mod)x -= mod;return *this;}ModInt &operator*=(const ModInt &p) {x = (int)(1LL * x * p.x % mod);return *this;}ModInt &operator/=(const ModInt &p) {*this *= p.inverse();return *this;}ModInt operator-() const { return ModInt(-x); }ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }bool operator==(const ModInt &p) const { return x == p.x; }bool operator!=(const ModInt &p) const { return x != p.x; }ModInt inverse() const {int a = x, b = mod, u = 1, v = 0, t;while(b > 0) {t = a / b;swap(a -= t * b, b);swap(u -= t * v, v);}return ModInt(u);}ModInt pow(int64_t n) const {ModInt ret(1), mul(x);while(n > 0) {if(n & 1)ret *= mul;mul *= mul;n >>= 1;}return ret;}friend ostream &operator<<(ostream &os, const ModInt &p) {return os << p.x;}friend istream &operator>>(istream &is, ModInt &a) {int64_t t;is >> t;a = ModInt<mod>(t);return (is);}static int get_mod() { return mod; }};using mint = ModInt<MOD>;const vector<mint> pre = {1, 41102369, 578095319, 5832229, 259081142, 974067448,316220877, 690120224, 251368199, 980250487, 682498929, 134623568,95936601, 933097914, 167332441, 598816162, 336060741, 248744620,626497524, 288843364, 491101308, 245341950, 565768255, 246899319,968999, 586350670, 638587686, 881746146, 19426633, 850500036,76479948, 268124147, 842267748, 886294336, 485348706, 463847391,544075857, 898187927, 798967520, 82926604, 723816384, 156530778,721996174, 299085602, 323604647, 172827403, 398699886, 530389102,294587621, 813805606, 67347853, 497478507, 196447201, 722054885,228338256, 407719831, 762479457, 746536789, 811667359, 778773518,27368307, 438371670, 59469516, 5974669, 766196482, 606322308,86609485, 889750731, 340941507, 371263376, 625544428, 788878910,808412394, 996952918, 585237443, 1669644, 361786913, 480748381,595143852, 837229828, 199888908, 526807168, 579691190, 145404005,459188207, 534491822, 439729802, 840398449, 899297830, 235861787,888050723, 656116726, 736550105, 440902696, 85990869, 884343068,56305184, 973478770, 168891766, 804805577, 927880474, 876297919,934814019, 676405347, 567277637, 112249297, 44930135, 39417871,47401357, 108819476, 281863274, 60168088, 692636218, 432775082,14235602, 770511792, 400295761, 697066277, 421835306, 220108638,661224977, 261799937, 168203998, 802214249, 544064410, 935080803,583967898, 211768084, 751231582, 972424306, 623534362, 335160196,243276029, 554749550, 60050552, 797848181, 395891998, 172428290,159554990, 887420150, 970055531, 250388809, 487998999, 856259313,82104855, 232253360, 513365505, 244109365, 1559745, 695345956,261384175, 849009131, 323214113, 747664143, 444090941, 659224434,80729842, 570033864, 664989237, 827348878, 195888993, 576798521,457882808, 731551699, 212938473, 509096183, 827544702, 678320208,677711203, 289752035, 66404266, 555972231, 195290384, 97136305,349551356, 785113347, 83489485, 66247239, 52167191, 307390891,547665832, 143066173, 350016754, 917404120, 296269301, 996122673,23015220, 602139210, 748566338, 187348575, 109838563, 574053420,105574531, 304173654, 542432219, 34538816, 325636655, 437843114,630621321, 26853683, 933245637, 616368450, 238971581, 511371690,557301633, 911398531, 848952161, 958992544, 925152039, 914456118,724691727, 636817583, 238087006, 946237212, 910291942, 114985663,492237273, 450387329, 834860913, 763017204, 368925948, 475812562,740594930, 45060610, 806047532, 464456846, 172115341, 75307702,116261993, 562519302, 268838846, 173784895, 243624360, 61570384,481661251, 938269070, 95182730, 91068149, 115435332, 495022305,136026497, 506496856, 710729672, 113570024, 366384665, 564758715,270239666, 277118392, 79874094, 702807165, 112390913, 730341625,103056890, 677948390, 339464594, 167240465, 108312174, 839079953,479334442, 271788964, 135498044, 277717575, 591048681, 811637561,353339603, 889410460, 839849206, 192345193, 736265527, 316439118,217544623, 788132977, 618898635, 183011467, 380858207, 996097969,898554793, 335353644, 54062950, 611251733, 419363534, 965429853,160398980, 151319402, 990918946, 607730875, 450718279, 173539388,648991369, 970937898, 500780548, 780122909, 39052406, 276894233,460373282, 651081062, 461415770, 358700839, 643638805, 560006119,668123525, 686692315, 673464765, 957633609, 199866123, 563432246,841799766, 385330357, 504962686, 954061253, 128487469, 685707545,299172297, 717975101, 577786541, 318951960, 773206631, 306832604,204355779, 573592106, 30977140, 450398100, 363172638, 258379324,472935553, 93940075, 587220627, 776264326, 793270300, 291733496,522049725, 579995261, 335416359, 142946099, 472012302, 559947225,332139472, 499377092, 464599136, 164752359, 309058615, 86117128,580204973, 563781682, 954840109, 624577416, 895609896, 888287558,836813268, 926036911, 386027524, 184419613, 724205533, 403351886,715247054, 716986954, 830567832, 383388563, 68409439, 6734065,189239124, 68322490, 943653305, 405755338, 811056092, 179518046,825132993, 343807435, 985084650, 868553027, 148528617, 160684257,882148737, 591915968, 701445829, 529726489, 302177126, 974886682,241107368, 798830099, 940567523, 11633075, 325334066, 346091869,115312728, 473718967, 218129285, 878471898, 180002392, 699739374,917084264, 856859395, 435327356, 808651347, 421623838, 105419548,59883031, 322487421, 79716267, 715317963, 429277690, 398078032,316486674, 384843585, 940338439, 937409008, 940524812, 947549662,833550543, 593524514, 996164327, 987314628, 697611981, 636177449,274192146, 418537348, 925347821, 952831975, 893732627, 1277567,358655417, 141866945, 581830879, 987597705, 347046911, 775305697,125354499, 951540811, 247662371, 343043237, 568392357, 997474832,209244402, 380480118, 149586983, 392838702, 309134554, 990779998,263053337, 325362513, 780072518, 551028176, 990826116, 989944961,155569943, 596737944, 711553356, 268844715, 451373308, 379404150,462639908, 961812918, 654611901, 382776490, 41815820, 843321396,675258797, 845583555, 934281721, 741114145, 275105629, 666247477,325912072, 526131620, 252551589, 432030917, 554917439, 818036959,754363835, 795190182, 909210595, 278704903, 719566487, 628514947,424989675, 321685608, 50590510, 832069712, 198768464, 702004730,99199382, 707469729, 747407118, 302020341, 497196934, 5003231,726997875, 382617671, 296229203, 183888367, 703397904, 552133875,732868367, 350095207, 26031303, 863250534, 216665960, 561745549,352946234, 784139777, 733333339, 503105966, 459878625, 803187381,16634739, 180898306, 68718097, 985594252, 404206040, 749724532,97830135, 611751357, 31131935, 662741752, 864326453, 864869025,167831173, 559214642, 718498895, 91352335, 608823837, 473379392,385388084, 152267158, 681756977, 46819124, 313132653, 56547945,442795120, 796616594, 256141983, 152028387, 636578562, 385377759,553033642, 491415383, 919273670, 996049638, 326686486, 160150665,141827977, 540818053, 693305776, 593938674, 186576440, 688809790,565456578, 749296077, 519397500, 551096742, 696628828, 775025061,370732451, 164246193, 915265013, 457469634, 923043932, 912368644,777901604, 464118005, 637939935, 956856710, 490676632, 453019482,462528877, 502297454, 798895521, 100498586, 699767918, 849974789,811575797, 438952959, 606870929, 907720182, 179111720, 48053248,508038818, 811944661, 752550134, 401382061, 848924691, 764368449,34629406, 529840945, 435904287, 26011548, 208184231, 446477394,206330671, 366033520, 131772368, 185646898, 648711554, 472759660,523696723, 271198437, 25058942, 859369491, 817928963, 330711333,724464507, 437605233, 701453022, 626663115, 281230685, 510650790,596949867, 295726547, 303076380, 465070856, 272814771, 538771609,48824684, 951279549, 939889684, 564188856, 48527183, 201307702,484458461, 861754542, 326159309, 181594759, 668422905, 286273596,965656187, 44135644, 359960756, 936229527, 407934361, 267193060,456152084, 459116722, 124804049, 262322489, 920251227, 816929577,483924582, 151834896, 167087470, 490222511, 903466878, 361583925,368114731, 339383292, 388728584, 218107212, 249153339, 909458706,322908524, 202649964, 92255682, 573074791, 15570863, 94331513,744158074, 196345098, 334326205, 9416035, 98349682, 882121662,769795511, 231988936, 888146074, 137603545, 582627184, 407518072,919419361, 909433461, 986708498, 310317874, 373745190, 263645931,256853930, 876379959, 702823274, 147050765, 308186532, 175504139,180350107, 797736554, 606241871, 384547635, 273712630, 586444655,682189174, 666493603, 946867127, 819114541, 502371023, 261970285,825871994, 126925175, 701506133, 314738056, 341779962, 561011609,815463367, 46765164, 49187570, 188054995, 957939114, 64814326,933376898, 329837066, 338121343, 765215899, 869630152, 978119194,632627667, 975266085, 435887178, 282092463, 129621197, 758245605,827722926, 201339230, 918513230, 322096036, 547838438, 985546115,852304035, 593090119, 689189630, 555842733, 567033437, 469928208,212842957, 117842065, 404149413, 155133422, 663307737, 208761293,206282795, 717946122, 488906585, 414236650, 280700600, 962670136,534279149, 214569244, 375297772, 811053196, 922377372, 289594327,219932130, 211487466, 701050258, 398782410, 863002719, 27236531,217598709, 375472836, 810551911, 178598958, 247844667, 676526196,812283640, 863066876, 857241854, 113917835, 624148346, 726089763,564827277, 826300950, 478982047, 439411911, 454039189, 633292726,48562889, 802100365, 671734977, 945204804, 508831870, 398781902,897162044, 644050694, 892168027, 828883117, 277714559, 713448377,624500515, 590098114, 808691930, 514359662, 895205045, 715264908,628829100, 484492064, 919717789, 513196123, 748510389, 403652653,574455974, 77123823, 172096141, 819801784, 581418893, 15655126,15391652, 875641535, 203191898, 264582598, 880691101, 907800444,986598821, 340030191, 264688936, 369832433, 785804644, 842065079,423951674, 663560047, 696623384, 496709826, 161960209, 331910086,541120825, 951524114, 841656666, 162683802, 629786193, 190395535,269571439, 832671304, 76770272, 341080135, 421943723, 494210290,751040886, 317076664, 672850561, 72482816, 493689107, 135625240,100228913, 684748812, 639655136, 906233141, 929893103, 277813439,814362881, 562608724, 406024012, 885537778, 10065330, 60625018,983737173, 60517502, 551060742, 804930491, 823845496, 727416538,946421040, 678171399, 842203531, 175638827, 894247956, 538609927,885362182, 946464959, 116667533, 749816133, 241427979, 871117927,281804989, 163928347, 563796647, 640266394, 774625892, 59342705,256473217, 674115061, 918860977, 322633051, 753513874, 393556719,304644842, 767372800, 161362528, 754787150, 627655552, 677395736,799289297, 846650652, 816701166, 687265514, 787113234, 358757251,701220427, 607715125, 245795606, 600624983, 10475577, 728620948,759404319, 36292292, 491466901, 22556579, 114495791, 647630109,586445753, 482254337, 718623833, 763514207, 66547751, 953634340,351472920, 308474522, 494166907, 634359666, 172114298, 865440961,364380585, 921648059, 965683742, 260466949, 117483873, 962540888,237120480, 620531822, 193781724, 213092254, 107141741, 602742426,793307102, 756154604, 236455213, 362928234, 14162538, 753042874,778983779, 25977209, 49389215, 698308420, 859637374, 49031023,713258160, 737331920, 923333660, 804861409, 83868974, 682873215,217298111, 883278906, 176966527, 954913, 105359006, 390019735,10430738, 706334445, 315103615, 567473423, 708233401, 48160594,946149627, 346966053, 281329488, 462880311, 31503476, 185438078,965785236, 992656683, 916291845, 881482632, 899946391, 321900901,512634493, 303338827, 121000338, 967284733, 492741665, 152233223,165393390, 680128316, 917041303, 532702135, 741626808, 496442755,536841269, 131384366, 377329025, 301196854, 859917803, 676511002,373451745, 847645126, 823495900, 576368335, 73146164, 954958912,847549272, 241289571, 646654592, 216046746, 205951465, 3258987,780882948, 822439091, 598245292, 869544707, 698611116};constexpr int B = 1000000;int main() {ll n;cin >> n;if(n >= MOD) {cout << 0 << endl;return 0;}int id = n / B;int base = B * id;mint ans = pre[id];for(int i = 1; i <= n - B * id; i++) {ans *= mint(base + i);}cout << ans << endl;}