結果
問題 | No.2396 等差二項展開 |
ユーザー |
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提出日時 | 2023-08-01 22:31:13 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 1,206 ms / 6,000 ms |
コード長 | 3,641 bytes |
コンパイル時間 | 1,683 ms |
コンパイル使用メモリ | 197,744 KB |
最終ジャッジ日時 | 2025-02-15 21:23:34 |
ジャッジサーバーID (参考情報) |
judge5 / judge5 |
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ファイルパターン | 結果 |
---|---|
other | AC * 31 |
ソースコード
#include "bits/stdc++.h"using namespace std;// #define ONLINE_JUDGE#ifndef ONLINE_JUDGE#include "cp-library/debug.h"#else#define dump(...) true#endifnamespace util {using ll = long long;using vl = std::vector<long long>;using pl = std::pair<long long, long long>;constexpr long long kInf = std::numeric_limits<long long>::max() / 8;constexpr long long kMax = std::numeric_limits<long long>::max();template <typename T, typename U>inline bool UpdateMax(T &x, const U &y) {if (x < y) {x = y;return true;}return false;}template <typename T, typename U>inline bool UpdateMin(T &x, const U &y) {if (x > y) {x = y;return true;}return false;}// verifiedinline long long Pow(long long x, long long n) {assert(n >= 0);if (x == 0) return 0;long long res = 1LL;while (n > 0) {if (n & 1) {assert(x != 0 && std::abs(res) <= kMax / std::abs(x));res = res * x;}if (n >>= 1) {assert(x != 0 && std::abs(x) <= kMax / std::abs(x));x = x * x;}}return res;}// verifiedinline long long Mod(long long n, const long long m) {// returns the "arithmetic modulo"// for a pair of integers (n, m) with m != 0, there exists a unique pair of// integer (q, r) s.t. n = qm + r and 0 <= r < |m| returns this rassert(m != 0);if (m < 0) return Mod(n, -m);if (n >= 0)return n % m;elsereturn (m + n % m) % m;}inline long long Quotient(long long n, long long m) {// returns the "arithmetic quotient"assert((n - Mod(n, m)) % m == 0);return (n - Mod(n, m)) / m;}inline long long DivFloor(long long n, long long m) {// returns floor(n / m)assert(m != 0);if (m < 0) {n = -n;m = -m;}if (n >= 0)return n / m;else if (n % m == 0)return -(abs(n) / m);elsereturn -(abs(n) / m) - 1;}inline long long DivCeil(long long n, long long m) {// returns ceil(n / m)assert(m != 0);if (n % m == 0)return DivFloor(n, m);elsereturn DivFloor(n, m) + 1;}template <typename T>inline T Sum(const std::vector<T> &vec) {return std::accumulate(vec.begin(), vec.end(), T(0));}} // namespace utilusing namespace util;inline long long PowMod(long long x, long long n, const long long m) {assert(n >= 0);assert(m != 0);if (x == 0) return 0;long long res = 1;x = Mod(x, m);while (n > 0) {if (n & 1) {assert(x == 0 || std::abs(res) <= kMax / std::abs(x));res = Mod(res * x, m);}if (n >>= 1) {assert(x == 0 || std::abs(x) <= kMax / std::abs(x));x = Mod(x * x, m);}}return res;}void solve() {ll n, m, l, k, b;cin >> n >> m >> l >> k >> b;m %= b;if (l == 1) {cout << PowMod(m + 1, n, b) << '\n';return;}if(b == 1) {}auto Convolution = [&](vl f, vl g) {vl res(l, 0);for (ll i = 0; i < l; i++) {for (ll j = 0; j < l; j++) {if (i + j < l) {res[i + j] += f[i] * g[j];res[i + j] %= b;} else {res[i + j - l] += f[i] * g[j] % b * m;res[i + j - l] %= b;}}}return res;};vl f(l, 0);f[0] += 1;f[0] %= b;if (l == 1) {f[0] += m;f[0] %= b;} else {f[1] += 1;f[1] %= b;}vl g(l, 0);g[0] = 1;g[0] %= b;while (n > 0) {if (n % 2 == 1) {g = Convolution(g, f);}f = Convolution(f, f);n /= 2;}cout << g[k] << '\n';}int main() {std::cin.tie(nullptr);std::ios::sync_with_stdio(false);std::cout << std::fixed << std::setprecision(15);solve();return 0;}