結果
| 問題 | No.1561 connect x connect |
| ユーザー |
 chocorusk
|
| 提出日時 | 2021-06-26 00:20:24 |
| 言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 63,539 bytes |
| コンパイル時間 | 30,188 ms |
| コンパイル使用メモリ | 7,076 KB |
| 最終ジャッジ日時 | 2025-01-22 12:55:26 |
|
ジャッジサーバーID （参考情報） |
judge1 / judge4 |
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
コンパイルが30秒の制限時間を超えました
ソースコード
#include <cstdio>#include <cstring>#include <iostream>#include <string>#include <cmath>#include <bitset>#include <vector>#include <map>#include <set>#include <queue>#include <deque>#include <algorithm>#include <complex>#include <unordered_map>#include <unordered_set>#include <random>#include <cassert>#include <fstream>#include <utility>#include <functional>#include <time.h>#include <stack>#include <array>#include <list>#include <atcoder/all>using namespace std;#pragma region Math Formal Power Seriesenum Mode {FAST = 1,NAIVE = -1,};template <class T, Mode mode = FAST>struct FormalPowerSeries : std::vector<T> {using std::vector<T>::vector;using std::vector<T>::size;using std::vector<T>::resize;using std::vector<T>::begin;using std::vector<T>::insert;using std::vector<T>::erase;using F = FormalPowerSeries;using S = std::vector<std::pair<int, T>>;F &operator+=(const F &g) {for(int i = 0; i < int(std::min((*this).size(), g.size())); i++) (*this)[i] += g[i];return *this;}F &operator+=(const T &t) {assert(int((*this).size()));(*this)[0] += t;return *this;}F &operator-=(const F &g) {for(int i = 0; i < int(std::min((*this).size(), g.size())); i++) (*this)[i] -= g[i];return *this;}F &operator-=(const T &t) {assert(int((*this).size()));(*this)[0] -= t;return *this;}F &operator*=(const T &t) {for(int i = 0; i < int((*this).size()); ++i) (*this)[i] *= t;return *this;}F &operator/=(const T &t) {T div = t.inv();for(int i = 0; i < int((*this).size()); ++i) (*this)[i] *= div;return *this;}F &operator>>=(const int sz) {assert(sz >= 0);int n = (*this).size();(*this).erase((*this).begin(), (*this).begin() + std::min(sz, n));(*this).resize(n);return *this;}F &operator<<=(const int sz) {assert(sz >= 0);int n = (*this).size();(*this).insert((*this).begin(), sz, T(0));(*this).resize(n);return *this;}F &operator%=(const F &g) { return *this -= *this / g * g; }F &operator=(const std::vector<T> &v) {int n = (*this).size();for(int i = 0; i < n; ++i) (*this)[i] = v[i];return *this;}F operator-() const {F ret = *this;return ret * -1;}F &operator*=(const F &g) {if(mode == FAST) {int n = (*this).size();auto tmp = atcoder::convolution(*this, g);for(int i = 0; i < n; ++i) (*this)[i] = tmp[i];return *this;} else {int n = (*this).size(), m = g.size();for(int i = n - 1; i >= 0; --i) {(*this)[i] *= g[0];for(int j = 1; j < std::min(i + 1, m); j++)(*this)[i] += (*this)[i - j] * g[j];}return *this;}}F &operator/=(const F &g) {if((*this).size() < g.size()) {(*this).assign((*this).size(), T(0));return *this;}if(mode == FAST) {int old = (*this).size();int n = (*this).size() - g.size() + 1;*this = ((*this).rev().pre(n) * g.rev().inv(n));(*this).rev_inplace();(*this).resize(old);return *this;} else {assert(g[0] != T(0));T ig0 = g[0].inv();int n = (*this).size(), m = g.size();for(int i = 0; i < n; ++i) {for(int j = 1; j < std::min(i + 1, m); ++j)(*this)[i] -= (*this)[i - j] * g[j];(*this)[i] *= ig0;}return *this;}}F &operator*=(S g) {int n = (*this).size();auto [d, c] = g.front();if(!d)g.erase(g.begin());elsec = 0;for(int i = n - 1; i >= 0; --i) {(*this)[i] *= c;for(auto &[j, b] : g) {if(j > i) break;(*this)[i] += (*this)[i - j] * b;}}return *this;}F &operator/=(S g) {int n = (*this).size();auto [d, c] = g.front();assert(!d and c != 0);T ic = c.inv();g.erase(g.begin());for(int i = 0; i < n; ++i) {for(auto &[j, b] : g) {if(j > i) break;(*this)[i] -= (*this)[i - j] * b;}(*this)[i] *= ic;}return *this;}F operator+(const F &g) const { return F(*this) += g; }F operator+(const T &t) const { return F(*this) += t; }F operator-(const F &g) const { return F(*this) -= g; }F operator-(const T &t) const { return F(*this) -= t; }F operator*(const F &g) const { return F(*this) *= g; }F operator*(const T &t) const { return F(*this) *= t; }F operator/(const F &g) const { return F(*this) /= g; }F operator/(const T &t) const { return F(*this) /= t; }F operator%(const F &g) const { return F(*this) %= g; }F operator*=(const S &g) const { return F(*this) *= g; }F operator/=(const S &g) const { return F(*this) /= g; }F pre(int d) const { return F((*this).begin(), (*this).begin() + std::min((int)(*this).size(), d)); }F &shrink() {while(!(*this).empty() and (*this).back() == T(0)) (*this).pop_back();return *this;}F &rev_inplace() {reverse((*this).begin(), (*this).end());return *this;}F rev() const { return F(*this).rev_inplace(); }// *=(1 + cz^d)F &multiply(const int d, const T c) {int n = (*this).size();if(c == T(1))for(int i = n - d - 1; i >= 0; --i)(*this)[i + d] += (*this)[i];else if(c == T(-1))for(int i = n - d - 1; i >= 0; --i)(*this)[i + d] -= (*this)[i];elsefor(int i = n - d - 1; i >= 0; --i)(*this)[i + d] += (*this)[i] * c;return *this;}// /=(1 + cz^d)F ÷(const int d, const T c) {int n = (*this).size();if(c == T(1))for(int i = 0; i < n - d; ++i) (*this)[i + d] -= (*this)[i];else if(c == T(-1))for(int i = 0; i < n - d; ++i) (*this)[i + d] += (*this)[i];elsefor(int i = 0; i < n - d; ++i) (*this)[i + d] -= (*this)[i] * c;return *this;}//Ο(N)T eval(const T &t) const {int n = (*this).size();T res = 0, tmp = 1;for(int i = 0; i < n; ++i) res += (*this)[i] * tmp, tmp *= t;return res;}F inv(int deg = -1) const {int n = (*this).size();assert(mode == FAST and n and (*this)[0] != 0);if(deg == -1) deg = n;assert(deg > 0);F res{(*this)[0].inv()};while(int(res.size()) < deg) {int m = res.size();F f((*this).begin(), (*this).begin() + std::min(n, m * 2)), r(res);f.resize(m * 2), atcoder::internal::butterfly(f);r.resize(m * 2), atcoder::internal::butterfly(r);for(int i = 0; i < m * 2; ++i) f[i] *= r[i];atcoder::internal::butterfly_inv(f);f.erase(f.begin(), f.begin() + m);f.resize(m * 2), atcoder::internal::butterfly(f);for(int i = 0; i < m * 2; ++i) f[i] *= r[i];atcoder::internal::butterfly_inv(f);T iz = T(m * 2).inv();iz *= -iz;for(int i = 0; i < m; ++i) f[i] *= iz;res.insert(res.end(), f.begin(), f.begin() + m);}res.resize(deg);return res;}//Ο(N)F &diff_inplace() {int n = (*this).size();for(int i = 1; i < n; ++i) (*this)[i - 1] = (*this)[i] * i;(*this)[n - 1] = 0;return *this;}F diff() const { F(*this).diff_inplace(); }//Ο(N)F &integral_inplace() {int n = (*this).size(), mod = T::mod();std::vector<T> inv(n);{inv[1] = 1;for(int i = 2; i < n; ++i)inv[i] = T(mod) - inv[mod % i] * (mod / i);}for(int i = n - 2; i >= 0; --i) (*this)[i + 1] = (*this)[i] * inv[i + 1];(*this)[0] = 0;return *this;}F integral() const { return F(*this).integral_inplace(); }//Ο(NlogN)F &log_inplace() {int n = (*this).size();assert(n and (*this)[0] == 1);F f_inv = (*this).inv();(*this).diff_inplace();(*this) *= f_inv;(*this).integral_inplace();return *this;}F log() const { return F(*this).log_inplace(); }//Ο(NlogN)F &deriv_inplace() {int n = (*this).size();assert(n);for(int i = 2; i < n; ++i) (*this)[i] *= i;(*this).erase((*this).begin());(*this).push_back(0);return *this;}F deriv() const { return F(*this).deriv_inplace(); }//Ο(NlogN)F &exp_inplace() {int n = (*this).size();assert(n and (*this)[0] == 0);F g{1};(*this)[0] = 1;F h_drv((*this).deriv());for(int m = 1; m < n; m *= 2) {F f((*this).begin(), (*this).begin() + m);f.resize(2 * m), atcoder::internal::butterfly(f);auto mult_f = [&](F &p) {p.resize(2 * m);atcoder::internal::butterfly(p);for(int i = 0; i < 2 * m; ++i) p[i] *= f[i];atcoder::internal::butterfly_inv(p);p /= 2 * m;};if(m > 1) {F g_(g);g_.resize(2 * m), atcoder::internal::butterfly(g_);for(int i = 0; i < 2 * m; ++i) g_[i] *= g_[i] * f[i];atcoder::internal::butterfly_inv(g_);T iz = T(-2 * m).inv();g_ *= iz;g.insert(g.end(), g_.begin() + m / 2, g_.begin() + m);}F t((*this).begin(), (*this).begin() + m);t.deriv_inplace();{F r{h_drv.begin(), h_drv.begin() + m - 1};mult_f(r);for(int i = 0; i < m; ++i) t[i] -= r[i] + r[m + i];}t.insert(t.begin(), t.back());t.pop_back();t *= g;F v((*this).begin() + m, (*this).begin() + std::min(n, 2 * m));v.resize(m);t.insert(t.begin(), m - 1, 0);t.push_back(0);t.integral_inplace();for(int i = 0; i < m; ++i) v[i] -= t[m + i];mult_f(v);for(int i = 0; i < std::min(n - m, m); ++i)(*this)[m + i] = v[i];}return *this;}F exp() const { return F(*this).exp_inplace(); }//Ο(NlogN)F &pow_inplace(long long k) {int n = (*this).size(), l = 0;assert(k >= 0);if(!k) {for(int i = 0; i < n; ++i) (*this)[i] = !i;return *this;}while(l < n and (*this)[l] == 0) ++l;if(l > (n - 1) / k or l == n) return *this = F(n);T c = (*this)[l];(*this).erase((*this).begin(), (*this).begin() + l);(*this) /= c;(*this).log_inplace();(*this).resize(n - l * k);(*this) *= k;(*this).exp_inplace();(*this) *= c.pow(k);(*this).insert((*this).begin(), l * k, 0);return *this;}F pow(const long long k) const { return F(*this).pow_inplace(k); }//Ο(NlogN)F sqrt(int deg = -1) const {auto SQRT = [&](T t) {int mod = T::mod();if(t == 0 or t == 1) return t;int v = (mod - 1) / 2;if(t.pow(v) != 1) return T(-1);int q = mod - 1, m = 0;while(~q & 1) q >>= 1, m++;std::mt19937 mt;T z = mt();while(z.pow(v) != mod - 1) z = mt();T c = z.pow(q), u = t.pow(q), r = t.pow((q + 1) / 2);for(; m > 1; m--) {T tmp = u.pow(1 << (m - 2));if(tmp != 1) r = r * c, u = u * c * c;c = c * c;}return T(std::min(r.val(), mod - r.val()));};int n = (*this).size();if(deg == -1) deg = n;if((*this)[0] == 0) {for(int i = 1; i < n; i++) {if((*this)[i] != 0) {if(i & 1) return F(0);if(deg - i / 2 <= 0) break;auto ret = (*this);ret >>= i;ret.resize(n - i);ret = ret.sqrt(deg - i / 2);if(ret.empty()) return F(0);ret <<= (i / 2);ret.resize(deg);return ret;}}return F(deg);}auto sqr = SQRT((*this)[0]);if(sqr * sqr != (*this)[0]) return F(0);F ret{sqr};T ti = T(1) / T(2);for(int i = 1; i < deg; i <<= 1) {auto u = (*this);u.resize(i << 1);ret = (ret.inv(i << 1) * u + ret) * ti;}ret.resize(deg);return ret;}void sparse_pow(const int n, const int d, const T c, const int k);void sparse_pow_inv(const int n, const int d, const T c, const int k);void stirling_first(int n);void stirling_second(int n);std::vector<T> multipoint_evaluation(const std::vector<T> &p);};#pragma endregiontemplate <class F>F Berlekamp_Massey(const F &a) {using T = typename F::value_type;int n = a.size();F c{-1}, c2{0};T r2 = 1;int i2 = -1;for(int i = 0; i < n; i++) {T r = 0;int d = c.size();for(int j = 0; j < d; j++) r += c[j] * a[i - j];if(r == 0) continue;T coef = -r / r2;int d2 = c2.size();if(d - i >= d2 - i2) {for(int j = 0; j < d2; j++)c[j + i - i2] += c2[j] * coef;} else {F tmp(c);c.resize(d2 + i - i2);for(int j = 0; j < d2; j++) c[j + i - i2] += c2[j] * coef;c2 = std::move(tmp);i2 = i, r2 = r;}}return {c.begin() + 1, c.end()};}//return generating function of a, s.t. F(x) = P(x) / Q(x)template <class F>std::pair<F, F> find_generating_function(F a) {auto q = Berlekamp_Massey(a);int d = q.size();a.resize(d);q.insert(q.begin(), 1);for(int i = 1; i < (int)q.size(); i++) q[i] *= -1;a *= q;return {a, q};}#pragma region Math Compute Kth term//return [x^k] p(x) / q(x)template <class T, Mode mode>T compute_Kthterm(FormalPowerSeries<T, mode> p, FormalPowerSeries<T, mode> q, long long k) {int d = q.size();assert(q[0] == 1 and p.size() + 1 <= d);while(k) {auto q_minus = q;for(int i = 1; i < d; i += 2)q_minus[i] *= -1;p.resize(2 * d);q.resize(2 * d);p *= q_minus;q *= q_minus;for(int i = 0; i < d - 1; i++)p[i] = p[(i << 1) | (k & 1)];for(int i = 0; i < d; i++)q[i] = q[i << 1];p.resize(d - 1);q.resize(d);k >>= 1;}return p[0];}template <class T, Mode mode>T compute_Kthterm(std::pair<FormalPowerSeries<T, mode>, FormalPowerSeries<T, mode>> f, long long k) { return compute_Kthterm(f.first, f.second, k); }#pragma endregionusing mint = atcoder::modint1000000007;using fps = FormalPowerSeries<mint, NAIVE>;long long n;int main() {int n; cin>>n;using ll=long long;ll m; cin>>m;if(n==1){cout<<(mint(m)*mint(m+1)/mint(2)).val()<<endl;return 0;}else if(n==2){fps a{3,13,40,108,275,681,1664,4040,9779,23637,57096,137876,332899,803729,1940416,4684624,11309731,27304157,65918120,159140476,384199155,927538873,239276978,406092917,51462904,509018828,69500660,648020259,365541286,379102943};printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else if(n==3){fps a{6,40,218,1126,5726,28992,146642,741556,3749816,18961450,95880894,484833212,451616850,396892232,686360042,981035162,852304262,13310737,963770471,287207712,160261393,773383718,96956388,687167308,497530903,444375838,604326428,109192343,567326764,44956786};printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else if(n==4){fps a{10,108,1126,11506,116166,1168586,11749134,118127408,187692415,941503421,64334502,171422003,349404639,414370691,229496053,914944379,534647146,212952522,902520681,724503478,619605102,166273790,619390876,836310385,686953731,577520663,729784801,284152723,990192910,985602944,184628568,143013864,120357458,135871979,693625981,923420525,935325709,232157437,179845336,642659777,928044617,599227641,429003717,808616660,796217953,104253038,790833226,173559765,354895468,283511888};// auto v=find_generating_function(a);// for(auto x:v.second) cout<<x.val()<<",";// cout<<endl;// cout<<a.size()<<" "<<v.second.size()<<endl;printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else if(n==5){fps a{15,275,5726,116166,2301877,45280509,889477656,470102989,131617800,543346538,672693081,528691884,433100319,259856352,631703746,121492784,65000963,67868821,431503520,556143263,898859209,822402657,746831347,942022314,42461886,245383965,159194955,442319965,719053964,735342087,986228635,385914410,746460380,499191314,294132890,429534325,53306515,69797919,520148741,67524590,131525006,212068789,48189163,744481802,784588217,472300215,20257573,506104402,129522484,887689193,43853833,543027098,470146768,95649760,578040016,125364572,32787914,139313990,713541877,395048004,58211160,741163082,279667841,863539083,628324240,632065512,233414550,425723447,668541542,395252599,948108328,415936460,936971286,807826611,208563368,385680591,915191638,982414083,119125504,245116288,652724547,553342192,353630600,164609785,388450582,428700037,12346034,723785521,759402482,991725165,966973769,273572834,930570812,280051753,519978288,374543182,92200418,226676644,296219848,527096603};// auto v=find_generating_function(a);// for(auto x:v.second) cout<<x.val()<<",";// cout<<endl;// cout<<a.size()<<" "<<v.second.size()<<endl;printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else if(n==6){fps a{21,681,28992,1168586,45280509,732082734,37461992,885687205,403247903,630794366,96311199,188560385,132214957,81864959,656832813,129969437,337127917,885747691,994734031,901081506,113735510,330166803,692897482,221245902,823578678,149151767,513212823,565413378,343413792,552163984,401017125,775469314,768705741,822998669,524634565,141276343,644398112,617812249,791340223,983870515,203398182,625614815,683890375,368195928,142285464,986226417,160965035,405204827,206471233,652493150,587867820,808610901,707659600,22802536,445444835,187616183,160982744,457176050,436730256,169883893,240716120,405440669,340484060,656210817,36771327,96126498,306426249,814430155,444930212,988328253,540530995,382743352,520556011,247236452,220449493,166029981,836928892,713012422,954252270,210134677,648105608,574260821,257748962,442563484,914128913,335893401,10612419,644215155,701674251,791425433,275022106,639393769,990275298,335101602,666947295,13086669,924423722,440358685,58917454,854634653,222563675,986452944,446560406,446339799,591900594,128960647,452436634,623814114,525257515,200495503,761757851,718952409,535847882,645061699,693963653,46678719,466133474,594295562,399559391,11097962,461778954,483386287,217580794,516089910,909297529,427249009,903830872,948864754,417535749,861690114,993338477,163694488,704688997,410415745,819049617,768562308,219587990,988235140,638477009,906083355,986424230,21490100,639637730,572881707,766595872,767939846,800732317,706345604,549051521,625193562,16831162,641408131,715352261,252575415,849525236,451254833,154836312,875072124,857138289,85504824,43664162,328113172,469628778,738455978,301383170,227452743,643952736,421179753,838409907,630538122,568667001,265423706,249151164,60716612,217355205,116129713,63635092,905389532,184685401,515736984,227392078,31713055,76862194,112672382,534885464,262104899,168571936,67257989,313819794,905116518,665071482,636607859,194818405,121405681,853051068,300594872,952805075,156961259,590791197,898252277};// auto v=find_generating_function(a);// for(auto x:v.second) cout<<x.val()<<",";// cout<<endl;// cout<<a.size()<<" "<<v.second.size()<<endl;printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else if(n==7){fps a{28,1664,146642,11749134,889477656,37461992,949940562,34890374,408395779,465431123,169444072,476095424,659247954,873440607,926228358,615656154,946323264,52968124,753942504,466886220,131497623,574943442,651491966,558045773,251030380,281770571,626734327,538734009,338782739,544266404,882070771,638524752,866251039,377115307,677270990,923683803,407681394,135644897,799433050,734586418,252356851,562319011,202766611,459305661,237631148,937873188,999735041,471421437,196454674,548587822,155433694,513218158,425727801,201766011,618282733,853358524,794224019,317787454,420202005,208101995,561508157,165138107,680690785,440574802,642204069,1519935,740668820,993620892,358321040,609591537,544950607,452208170,885834624,821590676,398458087,516061104,713420418,988022777,345184826,285034175,821685364,13669476,704448103,129864472,272789356,791468167,22642555,191074948,725893030,621310461,91319075,716141215,100651620,124026881,366140815,685675711,544588613,31892809,733368799,814661720,416829950,25354705,920576064,404858750,224503153,408647840,32879424,449601451,954308700,384324116,674296838,792515237,188224955,323348585,972509240,558237931,478379644,769454589,5532215,665030504,378063244,50177022,152536855,592606999,936002695,561844587,98320627,393845743,234288387,975460550,94761064,230083310,437478027,493404365,809166706,952865395,30537948,269093029,454344596,528546169,743583991,647074729,593751773,863574928,753557944,354148307,464934709,275033859,450276861,375178856,24286587,880771043,120621725,710396662,135056587,742687865,845401042,8181486,277891374,585736419,570298110,955283694,601817563,141857657,613931527,134904117,127307580,914760872,56527073,515151064,85256390,867641311,644658123,516456196,546485053,695768127,950249035,737354235,328196921,664437558,654797167,540686071,250077160,487287552,591837921,979485087,490297242,633678446,990298548,379642970,702481128,584942893,361720238,825880866,772590735,172182904,754431546,299502652,249050691,335001904,230296477,624204288,692367468,559310443,838878897,487986149,566227276,518043209,592538136,138670606,504405049,252553466,871876658,899807947,483430873,691627537,222857969,795092244,368293695,768052890,697322358,573816332,825591677,652492801,526261993,975704775,677628081,116620383,439967590,362128951,672319242,574102271,350904081,199464684,849463038,886655361,223485420,319695722,767450461,688429206,598751129,225406154,353550552,98188261,962586132,351427959,41167573,126283438,801928140,530774617,44264407,602460015,61008882,302058086,906154632,231505141,652491961,47839345,55293956,145231825,307920923,408202725,510473597,75219688,157343985,917480789,103605310,842950390,101027707,28793070,717261125,758732082,158282973,502041348,88400441,587778289,226310004,574669991,764559581,756363639,614962461,790643571,149324328,145554685,437398154,438739802,922467738,388741006,833892011,180024031,324080539,286487275,308749486,290106846,520867996,591917943,627868971,364622578,921885725,965742313,948877022,704039082,956113451,678857977,321401847,167938672,393856197,808025503,320963438,706550784,844136492,669955528,297253668,394528415,834378234,984963756,943035612,889279746,691625657,151511814,633374998,11156661,177860660,526965344,720117942,677315004,43154458,29163605,704506502,683525032,315857847,191280597,827302311,699421298,212010427,794556814,913280489,139164873,268649425,876508475,417530149,801828700,557926859,663339429,431411356,247878361,567938231,396918035,536975307,23869544,213323065,829981561,293484929,745338799,612848888,700199508,304928068,637237106,510637206,575567485,286763332,606725159,18008540,758299731,373138922,527449398,277338660,951314381,136928877,517354155,958264645,476381296,517661699,418951513,594925089,766767569,632423321,158924453,216993745,87677436,460735106,213378655,75798721,810498703,498131595,804233141,46616599,126236000,75726097,12494566,137140335,462013348,514605591,36371762,900304397,353370158,159178736,385565940,202256034,749707904,585244419,368607383,161372043,902321328,332777236,497271620,892689964,417308139,992400013,112355400,862835116,840275498,926482020,145476286,503687099,819367240,94465356,29534741,404125775,994606265,702779052,727169224,488931844,908250586,965893044,454596515,504943446,536580797,887270975,336238694,42825016,61715600,721194359,926269327,455233124,176379457,401022098,997694805,736660305,28764247,43601269,915483947,251386637,547146660,209214260,767872658,198009594,304348327,535645794,590354800,641872539,676928196,892980837,934433856,794932752,437963681,60438779,881980372,633986342,717718530,792975552,84059053,729878948,704864625,410844747,108887832,457337849,414985017,131963858,741566198,699925321,907788357,534135778,84813473,574894621,637795121,591882868,317003937,959093967,509688013,976315900,181502120,69921532,496704607,258795001,74876814,934998100,851342700,873185906,86019015,341788146,252606682,176203832,796840690,743454462,952296567,275524869,138772297,457478921,534369146};// auto v=find_generating_function(a);// for(auto x:v.second) cout<<x.val()<<",";// cout<<endl;// cout<<a.size()<<" "<<v.second.size()<<endl;// cout<<a[m-1].val()<<endl;printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else if(n==8){fps a{36,4040,741556,118127408,470102989,885687205,34890374,247777016,233426110,328755371,705627253,787442872,382905968,14599213,54410761,601006292,612557411,15449456,990194963,286282085,699722725,781620769,840139026,489073872,334785849,435236311,109774734,741619354,198733961,979223831,316303898,39151097,758722723,846456337,302710767,751509519,910422866,269441528,739223079,47041872,144990978,835832181,94144832,432122371,718847361,143249505,202420879,524474077,175432350,259981775,949834434,650788361,314338901,308488393,925015945,735629952,55340122,870087004,914406437,652461932,824517283,13384791,734924498,195917202,347913012,345009223,72962601,728865665,529666843,443583543,797807890,499559112,582526183,750449603,794171249,339435367,795879914,610395113,651525515,665256279,771083632,124044838,103256298,555278857,168723782,37135886,926137424,193565944,44104251,848927128,311714530,740363205,103826476,426742610,675142274,731839743,444416323,663478468,724122696,351972777,394976529,438819547,910482232,104665901,409225876,167205682,514913255,760105145,29299318,710711305,114816263,854763814,393789740,110116602,971095517,965304627,656067527,345333181,54369787,393350947,645767328,278297447,584309442,643959646,760481447,306899117,556007296,90782544,501999191,487093902,851119019,214855164,290938704,483935411,931413698,87706720,543982301,557974404,993894344,617966931,450284946,530064541,635450110,955879320,855098870,534537883,745899211,102957101,662330955,760521286,880202513,410332359,896841550,21942388,327590993,607470931,510274101,755158989,271684724,681115728,979634385,116288824,441075062,869557219,498624604,668265455,563569496,411144207,372553915,26571455,299681786,483501145,332251237,514296631,262088005,767350800,242709545,312245270,625558060,630739736,166453361,987400268,534085288,177342293,635886216,360697926,830064107,142999667,796390630,541632626,524331979,832128250,56784302,599770934,420185002,36118708,960687380,886180310,494123322,256629996,167297430,422622751,387880447,805197257,990906673,197392117,409215677,751867399,114891717,20016317,539423303,506437722,420323843,17970683,326175155,607163024,810675077,843118080,586603097,332437402,683685949,604167445,591515392,281318475,78155302,77262870,295568742,84378564,642943804,12418388,229594263,734305604,17384828,186823879,593406287,961690928,25278271,599757507,378599083,885999372,931931154,847818732,310703306,179718037,657210250,145528035,460498835,941558183,335135033,141616629,159440568,260876848,890714211,188331960,684788951,962770200,647749365,692000110,84789890,537064226,34450693,41361159,550194872,245249510,900342927,708273455,11582750,128969774,512056024,55621840,349004103,637116327,221258619,579454604,113893155,576214565,70474670,23918406,481813326,650352628,246808992,284149773,322921320,932867440,994253316,940618752,728504628,428989277,122474883,119546567,24132989,106306057,431011676,611024275,216092722,58878209,120907053,721629563,912245906,362994491,77928369,598179975,862251408,302060801,740845851,459478020,470575531,272055896,271404799,997912850,546477555,102801686,821058456,253389281,766070116,630671870,387593406,363890599,503970373,198459011,993364983,210948547,542855600,819226189,105570790,913838629,104902492,762607730,954174415,72362182,262189042,660554698,644882931,306650491,22189921,453123535,325669077,343206525,974951457,351413353,739439727,691749300,370158155,944047087,188614448,382554560,385741341,62378861,740868823,256532720,721260792,546722312,476298563,606762613,98776597,898445055,605244416,333859175,433695415,401161555,572855900,243667256,85343275,675159111,922771403,996753883,954048792,469148681,19943310,296231983,99393046,204271242,312577414,956614050,159362747,723539464,111719269,894138283,588450712,602782641,981925081,900433722,180543976,267328359,522848269,4196876,67000221,107779275,321728788,528597009,269434052,964941752,949825535,975030569,458728260,549511657,418171228,245570031,648210002,972434486,581872841,635344873,319802131,678265430,806155028,954458488,526854316,847377932,635338258,992797405,996032138,354562941,45336905,183006406,369367986,247817599,491651791,494803388,962480389,263666033,589248787,333002562,984917436,533517314,834849849,760791455,813814450,264438765,491534108,918145304,179243081,160538845,82373668,881806227,278695929,385349193,933393279,582444056,773641996,840937519,96345613,817752724,256578507,578658131,888553230,520544388,456331128,516837372,204008969,759828334,835082256,253914433,679107129,399776524,263641485,965389468,273920466,217978642,525012339,943300399,526528430,502684771,227319750,184383544,997961184,602742228,532755275,833719430,885093194,163222309,767604092,441111497,336002325,145020301,447897866,342728410,567522451,559761513,223634210,733274354,395895536,441758545,522228315,742539357,836415813,737295437,84803431,254857484,689895714,104233342,56504993,929273450,508576898,983431326,316933462,434800355,77235158,345405176,120253752,548205524,600098257,35022114,875707259,680477575,229617110,897981711,95828344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auto v=find_generating_function(a);// for(auto x:v.second) cout<<x.val()<<",";// cout<<endl;// cout<<a.size()<<" "<<v.second.size()<<endl;printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}else{fps 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auto v=find_generating_function(a);// for(auto x:v.second) cout<<x.val()<<",";// cout<<endl;// cout<<a.size()<<" "<<v.second.size()<<endl;printf("%d\n", compute_Kthterm(find_generating_function(a), m - 1).val());}return 0;}