結果

問題 No.1561 connect x connect
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-06-25 22:48:24
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 655 ms / 2,000 ms
コード長 45,468 bytes
コンパイル時間 1,054 ms
コンパイル使用メモリ 102,044 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-09-07 14:48:34
合計ジャッジ時間 5,898 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge12
このコードへのチャレンジ（β）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,376 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 3 ms
4,380 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 1 ms
4,376 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 1 ms
4,380 KB
testcase_10 AC 1 ms
4,376 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 3 ms
4,380 KB
testcase_14 AC 8 ms
4,380 KB
testcase_15 AC 11 ms
4,376 KB
testcase_16 AC 13 ms
4,380 KB
testcase_17 AC 2 ms
4,380 KB
testcase_18 AC 2 ms
4,376 KB
testcase_19 AC 75 ms
4,380 KB
testcase_20 AC 3 ms
4,380 KB
testcase_21 AC 1 ms
4,384 KB
testcase_22 AC 4 ms
4,380 KB
testcase_23 AC 2 ms
4,380 KB
testcase_24 AC 74 ms
4,380 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 499 ms
4,380 KB
testcase_27 AC 522 ms
4,380 KB
testcase_28 AC 487 ms
4,380 KB
testcase_29 AC 449 ms
4,380 KB
testcase_30 AC 461 ms
4,376 KB
testcase_31 AC 2 ms
4,380 KB
testcase_32 AC 3 ms
4,380 KB
testcase_33 AC 10 ms
4,380 KB
testcase_34 AC 69 ms
4,376 KB
testcase_35 AC 13 ms
4,380 KB
testcase_36 AC 85 ms
4,376 KB
testcase_37 AC 655 ms
4,380 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }

////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////

constexpr unsigned MO = 1000000007;
using Mint = ModInt<MO>;


Mint solve(const vector<Mint> &as, const vector<Mint> &cs, Int N) {
  const int d = (int)cs.size() - 1;
  auto mul = [&](const vector<Mint> &fs, const vector<Mint> &gs) {
    vector<Mint> hs(d + d - 1, 0);
    for (int i = 0; i < d; ++i) for (int j = 0; j < d; ++j) {
      hs[i + j] += fs[i] * gs[j];
    }
    for (int i = d + d - 1; --i >= d; ) {
      for (int j = 1; j <= d; ++j) {
        hs[i - j] -= cs[j] * hs[i];
      }
    }
    hs.resize(d);
    return hs;
  };
  vector<Mint> xs(d, 0), ys(d, 0);
  xs[1] = 1;
  ys[0] = 1;
  for (Int e = N; e; e >>= 1) {
    if (e & 1) ys = mul(ys, xs);
    xs = mul(xs, xs);
  }
  Mint ans;
  for (int i = 0; i < d; ++i) {
    ans += as[i] * ys[i];
  }
  return ans;
}


constexpr int LENS[10] = {
0,
4,
5,
9,
15,
34,
72,
181,
437,
1144,
};
constexpr unsigned AS[10][1210] = {
{}
,{0, 1, 3, 6}
,{0, 3, 13, 40, 108}
,{0, 6, 40, 218, 1126, 5726, 28992, 146642, 741556}
,{0, 10, 108, 1126, 11506, 116166, 1168586, 11749134, 118127408, 187692415, 941503421, 64334502, 171422003, 349404639, 414370691}
,{0, 15, 275, 5726, 116166, 2301877, 45280509, 889477656, 470102989, 131617800, 543346538, 672693081, 528691884, 433100319, 259856352, 631703746, 121492784, 65000963, 67868821, 431503520, 556143263, 898859209, 822402657, 746831347, 942022314, 42461886, 245383965, 159194955, 442319965, 719053964, 735342087, 986228635, 385914410, 746460380}
,{0, 21, 681, 28992, 1168586, 45280509, 732082734, 37461992, 885687205, 403247903, 630794366, 96311199, 188560385, 132214957, 81864959, 656832813, 129969437, 337127917, 885747691, 994734031, 901081506, 113735510, 330166803, 692897482, 221245902, 823578678, 149151767, 513212823, 565413378, 343413792, 552163984, 401017125, 775469314, 768705741, 822998669, 524634565, 141276343, 644398112, 617812249, 791340223, 983870515, 203398182, 625614815, 683890375, 368195928, 142285464, 986226417, 160965035, 405204827, 206471233, 652493150, 587867820, 808610901, 707659600, 22802536, 445444835, 187616183, 160982744, 457176050, 436730256, 169883893, 240716120, 405440669, 340484060, 656210817, 36771327, 96126498, 306426249, 814430155, 444930212, 988328253, 540530995}
,{0, 28, 1664, 146642, 11749134, 889477656, 37461992, 949940562, 34890374, 408395779, 465431123, 169444072, 476095424, 659247954, 873440607, 926228358, 615656154, 946323264, 52968124, 753942504, 466886220, 131497623, 574943442, 651491966, 558045773, 251030380, 281770571, 626734327, 538734009, 338782739, 544266404, 882070771, 638524752, 866251039, 377115307, 677270990, 923683803, 407681394, 135644897, 799433050, 734586418, 252356851, 562319011, 202766611, 459305661, 237631148, 937873188, 999735041, 471421437, 196454674, 548587822, 155433694, 513218158, 425727801, 201766011, 618282733, 853358524, 794224019, 317787454, 420202005, 208101995, 561508157, 165138107, 680690785, 440574802, 642204069, 1519935, 740668820, 993620892, 358321040, 609591537, 544950607, 452208170, 885834624, 821590676, 398458087, 516061104, 713420418, 988022777, 345184826, 285034175, 821685364, 13669476, 704448103, 129864472, 272789356, 791468167, 22642555, 191074948, 725893030, 621310461, 91319075, 716141215, 100651620, 124026881, 366140815, 685675711, 544588613, 31892809, 733368799, 814661720, 416829950, 25354705, 920576064, 404858750, 224503153, 408647840, 32879424, 449601451, 954308700, 384324116, 674296838, 792515237, 188224955, 323348585, 972509240, 558237931, 478379644, 769454589, 5532215, 665030504, 378063244, 50177022, 152536855, 592606999, 936002695, 561844587, 98320627, 393845743, 234288387, 975460550, 94761064, 230083310, 437478027, 493404365, 809166706, 952865395, 30537948, 269093029, 454344596, 528546169, 743583991, 647074729, 593751773, 863574928, 753557944, 354148307, 464934709, 275033859, 450276861, 375178856, 24286587, 880771043, 120621725, 710396662, 135056587, 742687865, 845401042, 8181486, 277891374, 585736419, 570298110, 955283694, 601817563, 141857657, 613931527, 134904117, 127307580, 914760872, 56527073, 515151064, 85256390, 867641311, 644658123, 516456196, 546485053, 695768127, 950249035, 737354235, 328196921, 664437558}
,{0, 36, 4040, 741556, 118127408, 470102989, 885687205, 34890374, 247777016, 233426110, 328755371, 705627253, 787442872, 382905968, 14599213, 54410761, 601006292, 612557411, 15449456, 990194963, 286282085, 699722725, 781620769, 840139026, 489073872, 334785849, 435236311, 109774734, 741619354, 198733961, 979223831, 316303898, 39151097, 758722723, 846456337, 302710767, 751509519, 910422866, 269441528, 739223079, 47041872, 144990978, 835832181, 94144832, 432122371, 718847361, 143249505, 202420879, 524474077, 175432350, 259981775, 949834434, 650788361, 314338901, 308488393, 925015945, 735629952, 55340122, 870087004, 914406437, 652461932, 824517283, 13384791, 734924498, 195917202, 347913012, 345009223, 72962601, 728865665, 529666843, 443583543, 797807890, 499559112, 582526183, 750449603, 794171249, 339435367, 795879914, 610395113, 651525515, 665256279, 771083632, 124044838, 103256298, 555278857, 168723782, 37135886, 926137424, 193565944, 44104251, 848927128, 311714530, 740363205, 103826476, 426742610, 675142274, 731839743, 444416323, 663478468, 724122696, 351972777, 394976529, 438819547, 910482232, 104665901, 409225876, 167205682, 514913255, 760105145, 29299318, 710711305, 114816263, 854763814, 393789740, 110116602, 971095517, 965304627, 656067527, 345333181, 54369787, 393350947, 645767328, 278297447, 584309442, 643959646, 760481447, 306899117, 556007296, 90782544, 501999191, 487093902, 851119019, 214855164, 290938704, 483935411, 931413698, 87706720, 543982301, 557974404, 993894344, 617966931, 450284946, 530064541, 635450110, 955879320, 855098870, 534537883, 745899211, 102957101, 662330955, 760521286, 880202513, 410332359, 896841550, 21942388, 327590993, 607470931, 510274101, 755158989, 271684724, 681115728, 979634385, 116288824, 441075062, 869557219, 498624604, 668265455, 563569496, 411144207, 372553915, 26571455, 299681786, 483501145, 332251237, 514296631, 262088005, 767350800, 242709545, 312245270, 625558060, 630739736, 166453361, 987400268, 534085288, 177342293, 635886216, 360697926, 830064107, 142999667, 796390630, 541632626, 524331979, 832128250, 56784302, 599770934, 420185002, 36118708, 960687380, 886180310, 494123322, 256629996, 167297430, 422622751, 387880447, 805197257, 990906673, 197392117, 409215677, 751867399, 114891717, 20016317, 539423303, 506437722, 420323843, 17970683, 326175155, 607163024, 810675077, 843118080, 586603097, 332437402, 683685949, 604167445, 591515392, 281318475, 78155302, 77262870, 295568742, 84378564, 642943804, 12418388, 229594263, 734305604, 17384828, 186823879, 593406287, 961690928, 25278271, 599757507, 378599083, 885999372, 931931154, 847818732, 310703306, 179718037, 657210250, 145528035, 460498835, 941558183, 335135033, 141616629, 159440568, 260876848, 890714211, 188331960, 684788951, 962770200, 647749365, 692000110, 84789890, 537064226, 34450693, 41361159, 550194872, 245249510, 900342927, 708273455, 11582750, 128969774, 512056024, 55621840, 349004103, 637116327, 221258619, 579454604, 113893155, 576214565, 70474670, 23918406, 481813326, 650352628, 246808992, 284149773, 322921320, 932867440, 994253316, 940618752, 728504628, 428989277, 122474883, 119546567, 24132989, 106306057, 431011676, 611024275, 216092722, 58878209, 120907053, 721629563, 912245906, 362994491, 77928369, 598179975, 862251408, 302060801, 740845851, 459478020, 470575531, 272055896, 271404799, 997912850, 546477555, 102801686, 821058456, 253389281, 766070116, 630671870, 387593406, 363890599, 503970373, 198459011, 993364983, 210948547, 542855600, 819226189, 105570790, 913838629, 104902492, 762607730, 954174415, 72362182, 262189042, 660554698, 644882931, 306650491, 22189921, 453123535, 325669077, 343206525, 974951457, 351413353, 739439727, 691749300, 370158155, 944047087, 188614448, 382554560, 385741341, 62378861, 740868823, 256532720, 721260792, 546722312, 476298563, 606762613, 98776597, 898445055, 605244416, 333859175, 433695415, 401161555, 572855900, 243667256, 85343275, 675159111, 922771403, 996753883, 954048792, 469148681, 19943310, 296231983, 99393046, 204271242, 312577414, 956614050, 159362747, 723539464, 111719269, 894138283, 588450712, 602782641, 981925081, 900433722, 180543976, 267328359, 522848269, 4196876, 67000221, 107779275, 321728788, 528597009, 269434052, 964941752, 949825535, 975030569, 458728260, 549511657, 418171228, 245570031, 648210002, 972434486, 581872841, 635344873, 319802131, 678265430, 806155028, 954458488, 526854316, 847377932, 635338258, 992797405, 996032138, 354562941, 45336905, 183006406, 369367986, 247817599, 491651791, 494803388, 962480389, 263666033, 589248787, 333002562, 984917436, 533517314, 834849849, 760791455, 813814450, 264438765, 491534108, 918145304, 179243081, 160538845, 82373668, 881806227, 278695929, 385349193}
,{0, 45, 9779, 3749816, 187692415, 131617800, 403247903, 408395779, 233426110, 197302784, 177620321, 206888828, 835061252, 770003207, 167817536, 517820843, 580617827, 469175694, 251779825, 370582103, 72645164, 713328911, 277616510, 902795788, 659852725, 220506451, 987735057, 337008278, 326694483, 929531709, 623473947, 796684890, 777051644, 795130911, 868689620, 888962474, 15266105, 133906102, 896971307, 432781360, 609904712, 139195228, 582320632, 810000435, 144947710, 694533822, 353828777, 974567746, 545012102, 655590198, 684583110, 709008352, 516538184, 177659042, 730381723, 46966182, 70580724, 546296538, 649380101, 839329069, 521579662, 795443379, 918648017, 416884199, 467381920, 180180330, 922394205, 388926319, 338398209, 519862997, 15436054, 832899909, 25205988, 638023458, 397967187, 958525485, 625245409, 761065828, 308642848, 984865575, 166574801, 351074508, 483949359, 826042702, 587151802, 332893090, 23588721, 198575871, 217064634, 935342647, 875830166, 870762060, 431430866, 714037905, 451514552, 118685251, 876908840, 648215587, 848279668, 60298648, 631459253, 423970402, 946540283, 520092027, 98956341, 792001638, 336970096, 931916670, 592163792, 698538791, 255778677, 599081543, 736931826, 498542055, 487642144, 167722474, 425497074, 479036070, 196741185, 39983686, 490171826, 41410688, 950392180, 499418290, 916512858, 995578975, 364239372, 287759310, 305160181, 776807436, 795631950, 394372202, 993536736, 574952319, 609892554, 374430406, 859025147, 436507546, 532241817, 70196027, 667557733, 86629981, 53437441, 215255354, 775586987, 386301783, 329730035, 202594580, 163573385, 90440286, 830055244, 592282175, 146234819, 713607860, 431108208, 391672172, 89707230, 227887893, 635772628, 670074546, 823064293, 429723599, 720075550, 708101376, 728992627, 35839866, 649628048, 777233024, 769395244, 273231976, 452388241, 103609465, 50984607, 571111271, 37433616, 645071594, 241717405, 852257157, 792730997, 762093846, 260970344, 710690387, 581362111, 325183396, 887018246, 894572200, 248056865, 450822007, 28780679, 485097554, 610718927, 844021940, 806875641, 356112859, 159635847, 788536148, 115844061, 32006334, 343606685, 949709181, 501111333, 368083991, 85114366, 231716730, 758617505, 42613424, 792424028, 406591750, 7556235, 372313392, 875852936, 303229657, 493990389, 413068577, 970321428, 914931582, 883280547, 348694252, 48829705, 693879473, 956820845, 494398843, 524838672, 55642290, 291803820, 838072276, 937627886, 352806075, 872719356, 645619108, 203657091, 833772501, 188791198, 15808272, 336497713, 294256664, 801099446, 152749995, 41154832, 192492036, 312034558, 714016971, 939095632, 362217612, 344871905, 183574935, 889188174, 138994256, 960429161, 296389559, 883734447, 484177868, 83759713, 357767259, 405799384, 404997964, 179592455, 903922102, 309177362, 762328559, 846181321, 186860329, 535482051, 303516149, 218656364, 107450950, 239712834, 878534309, 957325925, 369018716, 743188094, 890784475, 179418699, 403243176, 82350077, 760467414, 628649939, 536068242, 546840675, 460160401, 131727617, 556807821, 103868149, 100658424, 320228785, 310512098, 723638547, 644759206, 54096166, 438468025, 280923557, 715718353, 545633130, 123399383, 171267284, 991718619, 983352761, 402614189, 319762846, 922715169, 183148106, 404824713, 482568353, 237420087, 669034731, 275370689, 906758281, 912995718, 736734514, 669078916, 551700747, 844999682, 490707946, 397056376, 72201274, 440950741, 308110319, 99342341, 252577468, 439457763, 862615164, 97430404, 650977533, 227567872, 732837766, 486412310, 424158571, 314727501, 706889056, 657623511, 936876993, 355562470, 9669720, 793140369, 959968300, 899351234, 219020216, 880286167, 595856391, 493610283, 799709671, 824990610, 720595839, 329639104, 976749337, 936889221, 809494863, 315709609, 237042146, 110330913, 567862810, 101728268, 746956576, 529866255, 586725298, 648040801, 779748452, 153236583, 914584631, 749408847, 513718701, 14088744, 993137657, 564190068, 564615128, 218058108, 134675641, 474742395, 687879968, 690548088, 277156362, 833518401, 580665444, 577772528, 19376544, 299323127, 895099027, 299338547, 839803398, 687138570, 578794727, 71021961, 41918341, 510329763, 609712540, 451003507, 709704951, 186996194, 578245109, 487769767, 658075788, 864769755, 506366568, 233278984, 86797707, 695583509, 153704084, 307322932, 831266923, 199868472, 103620682, 993020713, 659107946, 396528525, 448813397, 73914984, 907386095, 831778457, 594736347, 150616395, 988883526, 366215643, 167086401, 868932945, 313717943, 593312471, 235565012, 521329248, 311252446, 123949902, 964499849, 144982401, 326364967, 391588166, 501164095, 279706676, 683502822, 592927881, 202357005, 297878695, 111559939, 437962853, 837545570, 371947446, 187758155, 101943565, 305769633, 487510260, 916387514, 682044268, 61059324, 657929288, 460684128, 163896142, 161536407, 538311886, 723564214, 36418739, 327436336, 989827281, 124248645, 832708688, 882308790, 710452531, 77716353, 875129876, 836074411, 531835865, 56875321, 833407105, 423331035, 393581722, 167353704, 46338145, 795984501, 429448793, 921170554, 895713357, 399606530, 448677100, 376663936, 565811400, 301582936, 103096130, 89229646, 456280484, 935984940, 257863967, 62176804, 520077003, 989724020, 230216016, 198426323, 232816551, 723398169, 947598119, 145563483, 543560195, 769283254, 687695853, 412141785, 458246892, 322562821, 870174788, 792046447, 992281653, 261650102, 321433331, 28258915, 361339155, 916537223, 304030644, 26483722, 311683688, 962388783, 635976431, 109322303, 111089464, 562711339, 932659823, 884184806, 961770497, 482763443, 787907009, 283606372, 844167426, 96801505, 102993913, 616787769, 332259272, 90020691, 33473958, 108789187, 901500422, 168357636, 853210301, 871337077, 376008840, 609311701, 33409148, 458480523, 530786778, 390698056, 481382022, 680007463, 849208790, 270019810, 368593263, 287960378, 683678741, 840373286, 472091096, 256821798, 909688373, 636672904, 857109891, 992260814, 638259714, 682582093, 715207690, 600484323, 181860536, 177868141, 849248564, 743213709, 255749170, 601589780, 577202203, 715681221, 735331176, 522995960, 337047396, 380280967, 562020808, 449068543, 963757501, 321956499, 151307217, 161277903, 285233282, 762020021, 339297753, 69679348, 52568303, 535629098, 658030018, 319086680, 600634301, 532594728, 293331051, 603165887, 881090116, 441710021, 197876329, 311209998, 65489057, 438038471, 846586492, 841740111, 900892505, 272268279, 272662986, 89882804, 789135775, 548746487, 93712454, 214835785, 687205843, 809953436, 716639879, 931867150, 5763196, 404820388, 529438877, 222826259, 393767310, 372063277, 755012934, 553961581, 34305285, 137826363, 970617902, 758748623, 22630688, 297099624, 233382191, 919549105, 715661682, 204181124, 621028315, 733111353, 820512193, 577134999, 902996456, 829943695, 846032894, 905693877, 542196551, 252622955, 523732069, 530997965, 533006837, 460888302, 533952669, 844001205, 812367056, 483211338, 158530789, 288773918, 681553155, 968699783, 254686618, 449601998, 599196037, 225007854, 290070160, 539848030, 608861062, 188322344, 747926660, 538066172, 847178687, 798739308, 292443380, 645523492, 583709863, 519984309, 947227788, 785996221, 849492107, 217296632, 379082083, 328454321, 948218307, 458921548, 733036260, 335345610, 773876458, 744463437, 69765238, 106787889, 312188870, 578318834, 7590839, 644251670, 957688430, 335704885, 472634567, 890314526, 887231598, 869685716, 675313178, 908538033, 362098899, 320019526, 244292819, 322269049, 505039770, 483852205, 866472202, 694039567, 823738103, 892325140, 758360001, 346368562, 815348254, 412182503, 471602176, 990001493, 666290216, 161636116, 879511684, 412410210, 446019037, 337121630, 658855385, 784637957, 536675583, 404218240, 960104489, 897138435, 48992282, 548012990, 560174715, 792156454, 160189169, 705905872, 573054279, 928960434, 598430005, 723118328, 3133966, 709956394, 400173006, 843883821, 846982537, 379029168, 361068204, 661888589, 887835679, 493479920, 976133608, 354917572, 765784969, 49078976, 364396665, 502948009, 205972104, 807960031, 802286021, 744327814, 245246294, 420470862, 538828146, 696329703, 411129575, 588274570, 6230560, 547505555, 473360733, 576825268, 869928171, 485124875, 32250130, 382711654, 49947367, 690021132, 761491956, 113839876, 634613886, 973389949, 360297061, 350465803, 385111971, 501526753, 394165342, 117902532, 47188185, 669058037, 586179392, 803534253, 9867730, 117081149, 270343570, 869732012, 535560128, 74135321, 913166862, 745264069, 367865464, 623137053, 135895289, 799585395, 704614475, 888437551, 472048245, 210649737, 887519734, 367380507, 467654308, 310951744, 120246371, 1570185, 489874614, 177001364, 639465634, 752300677, 618186089, 125694494, 282846280, 736316609, 953882934, 653497932, 841032400, 979929908, 640731760, 744566282, 956866912, 308789171, 978715397, 648405630, 702106874, 252210450, 37223998, 173800106, 569247455, 870763443, 145425498, 15568087, 948078131, 543632996, 464071584, 555186162, 273468192, 844935944, 319095366, 541561522, 462755462, 976898547, 38432185, 745007341, 431518992, 996017081, 641720868, 979768983, 850953140, 572191500, 305562385, 828023713, 101969831, 319513329, 411569368, 498489858, 687104004, 861506575, 386766011, 47630047, 485950686, 906252626, 435904945, 523398217, 237981274, 184197706, 269135307, 723734629, 996762583, 961708129, 184077468, 987996423, 232884778, 412092659, 38185479, 920544354, 863648751, 226193943, 388570440, 67028234, 139276129, 987378193, 100903448, 903580344, 405505214, 867338867, 333622878, 921218665, 511487222, 463201346, 414182967, 124574190, 125984615, 331268678, 712901251, 926814813, 792501262, 571854656, 980486453, 67546855, 150063837, 986275190, 522883996, 773384884, 81195741, 381162217, 512867735, 787522767, 774407258, 380624609, 500979859, 425339121, 963880441, 911568272, 792258594, 350130673, 602869571, 264295247, 559699881, 354311181, 316717483, 974583423, 385148768, 775793636, 276045306, 192338240, 677282938, 975826894, 376504882, 438875821, 650005503, 18308145, 573861618, 505201938, 646594656, 659950897, 130894025, 249286645, 298317355, 654311532, 836465450, 865286055, 895177950, 246676014, 195480007, 816931196, 479506395, 881134448, 708030910, 402627578, 94318479, 239737460, 50326524, 124781860, 692461839, 182412976, 588599601, 905280444, 671991486, 149716817, 47905658, 64714287, 716724851, 557647216, 28241812, 713896117, 846376494, 206401418, 428739231, 942397989, 324941900, 306688147, 258918808, 206428157, 459115203, 714606128, 901629112, 466484868, 310408763, 294905148, 749311051, 394101771, 403806550, 498739596, 248404900, 190125924, 522025988, 356210447, 962389205, 814535861, 3980315, 250331408, 790031419, 402340345, 314834487, 602818980, 373056826, 513025448, 514106359, 330630795, 280415656, 110664532, 260357566, 438075255, 589257527, 858090853, 422891205, 620257075, 790506377, 952563016, 765975974, 960893637, 543352842, 365161673, 624020379, 800469365, 251809505, 622790780, 765922253, 402911760, 997555042, 559439272, 29544238, 878217449, 228591540, 899811201, 871109199, 546784719, 253989180, 599758115, 684560325, 694533607, 280703340, 236096123, 66961640, 589317182, 148043719, 775804319, 268637104, 330635805, 56702421, 125110763, 721113904, 467948371, 559561215, 304843404, 297100892, 617590242, 296473496, 369817637, 718004636, 526124218, 325406214, 131642557, 869709758, 216629105, 687991036, 573256824, 311737341, 758758392, 234589476, 806451920, 213768729, 631008009, 285161193, 822185858, 233315562, 217016673, 677480896, 804760339, 303459984, 221413383, 399022533, 365958714, 40799195, 381705662, 789465567, 637528335, 343565435, 451970239, 746068672, 166867880, 819274545, 76504657, 397541090, 634573222, 532288800, 461447953, 593079116, 206340568, 73124197, 802335966, 905865702, 467513529, 84938694, 290540136, 695515463, 3667894, 705686513, 717484972, 407798786, 866250512, 73759857, 988625790, 225509686, 921183249, 230949763, 381533094, 278804584, 32480390, 574582357, 123789423, 768169179, 487732014, 297765428, 731832401, 432860256, 598148966, 289492130, 97013575, 442023507, 762069525, 931825284, 458140597, 189544522, 921471521, 275855481, 956391146, 193634695, 84677511, 113885808, 830941679, 431684736, 119795183, 940323412, 300483044, 11521577, 885580158, 695593645, 494983307, 139383566, 821276667, 477452984, 683243183, 361935517, 273621685, 4025495, 476432519, 678629225, 920228510, 134283532, 278793091, 224178916, 869681152, 174441945, 438098978, 983179206}
};
constexpr unsigned CS[10][1210] = {
{}
,{1, 1000000004, 3, 1000000006}
,{1, 1000000003, 4, 0, 1000000006}
,{1, 999999998, 26, 999999972, 22, 3, 999999991, 9, 1000000006}
,{1, 999999990, 90, 999999777, 272, 75, 999999384, 632, 999999942, 999999752, 198, 999999845, 96, 999999996, 1000000006}
,{1, 999999966, 626, 999994795, 26632, 999916042, 135637, 57937, 999199739, 1620135, 999093191, 998485993, 2551590, 997377220, 7154119, 991457770, 993019186, 21987911, 983996162, 6152683, 999036138, 990231089, 13699534, 997404693, 994521618, 3355642, 999776210, 999597590, 189183, 999956725, 4214, 198, 999999956, 1}
,{1, 999999918, 3110, 999939541, 742664, 993958208, 31995434, 906653130, 979867988, 450143629, 57940041, 51719115, 329658325, 705040706, 38479371, 724108123, 810715054, 484591080, 77586872, 13495283, 20514139, 279183132, 513975810, 178497912, 771592522, 295194475, 776332021, 223981658, 58083192, 17050708, 16230911, 494464705, 476519393, 189155785, 937991413, 54201070, 63313885, 20151946, 118575609, 776692687, 610711296, 884756831, 128167752, 845202278, 735369307, 206268113, 525852836, 826291169, 922972595, 693304349, 776356265, 548131137, 141958987, 152522485, 798387263, 987311741, 558683120, 404633960, 238042460, 920984885, 675315088, 341916115, 676073373, 221240708, 211895609, 29348012, 576165, 999444951, 999942165, 999998535, 107, 1}
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};


int N;
Int M;

int main() {
  for (; ~scanf("%d%lld", &N, &M); ) {
    const vector<Mint> as(AS[N], AS[N] + LENS[N]);
    const vector<Mint> cs(CS[N], CS[N] + LENS[N]);
    const Mint ans = solve(as, cs, M);
    printf("%u\n", ans.x);
  }
  return 0;
}
0