結果
問題 | No.2857 Div Array |
ユーザー |
|
提出日時 | 2024-08-25 20:35:42 |
言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 27 ms / 2,000 ms |
コード長 | 5,493 bytes |
コンパイル時間 | 2,176 ms |
コンパイル使用メモリ | 210,448 KB |
実行使用メモリ | 6,944 KB |
最終ジャッジ日時 | 2024-08-25 20:35:46 |
合計ジャッジ時間 | 3,786 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge2 |
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ファイルパターン | 結果 |
---|---|
other | AC * 30 |
ソースコード
#include <bits/stdc++.h>using namespace std;using ll = long long;template<class T> ostream& operator << (ostream& os, const vector<T>& vec) {if(vec.empty()) return os;os << vec[0];for(auto it = vec.begin(); ++it != vec.end(); ) os << ' ' << *it;return os;}template<const unsigned int MOD> struct prime_modint {using mint = prime_modint;unsigned int v;prime_modint() : v(0) {}prime_modint(unsigned int a) { a %= MOD; v = a; }prime_modint(unsigned long long a) { a %= MOD; v = a; }prime_modint(int a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; }prime_modint(long long a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; }static constexpr int mod() { return MOD; }mint& operator++() {v++; if(v == MOD)v = 0; return *this;}mint& operator--() {if(v == 0)v = MOD; v--; return *this;}mint operator++(int) { mint result = *this; ++*this; return result; }mint operator--(int) { mint result = *this; --*this; return result; }mint& operator+=(const mint& rhs) { v += rhs.v; if(v >= MOD) v -= MOD; return *this; }mint& operator-=(const mint& rhs) { if(v < rhs.v) v += MOD; v -= rhs.v; return *this; }mint& operator*=(const mint& rhs) {v = (unsigned int)((unsigned long long)(v) * rhs.v % MOD);return *this;}mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }mint operator+() const { return *this; }mint operator-() const { return mint() - *this; }mint pow(long long n) const {assert(0 <= n);mint r = 1, x = *this;while (n) {if (n & 1) r *= x;x *= x;n >>= 1;}return r;}mint inv() const { assert(v); return pow(MOD - 2); }friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; }friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; }friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; }friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; }friend bool operator==(const mint& lhs, const mint& rhs) { return (lhs.v == rhs.v); }friend bool operator!=(const mint& lhs, const mint& rhs) { return (lhs.v != rhs.v); }friend std::ostream& operator << (std::ostream &os, const mint& rhs) noexcept { return os << rhs.v; }};//using mint = prime_modint<1000000007>;using mint = prime_modint<998244353>;template <class T, size_t N> struct Matrix {std::array<std::array<T, N>, N> A{};Matrix() {}Matrix(const std::array<std::array<T, N>, N> &M) : A(M){}Matrix(const std::vector<std::vector<T>> &M) {for(size_t i = 0; i < N; i++){for(size_t j = 0; j < N; j++){A[i][j] = M[i][j];}}}const std::array<T, N>& operator[](int i) const { return A[i]; }std::array<T, N>& operator[](int i) { return A[i]; }Matrix& operator+=(const Matrix& rhs) {for(size_t i = 0; i < N; i++){for(size_t j = 0; j < N; j++){A[i][j] += rhs[i][j];}}return *this;}Matrix& operator-=(const Matrix& rhs) {for(size_t i = 0; i < N; i++){for(size_t j = 0; j < N; j++){A[i][j] -= rhs[i][j];}}return *this;}Matrix& operator*=(const Matrix& rhs) {std::array<std::array<T, N>, N> res{};for(size_t i = 0; i < N; i++){for(size_t k = 0; k < N; k++){for(size_t j = 0; j < N; j++){res[i][j] += A[i][k] * rhs[k][j];}}}swap(A, res);return *this;}Matrix& operator+() const { return *this; }Matrix& operator-() const { return Matrix() - *this; }friend Matrix operator+(const Matrix& lhs, const Matrix& rhs) {return Matrix(lhs) += rhs;}friend Matrix operator-(const Matrix& lhs, const Matrix& rhs) {return Matrix(lhs) -= rhs;}friend Matrix operator*(const Matrix& lhs, const Matrix& rhs) {return Matrix(lhs) *= rhs;}friend bool operator==(const Matrix& lhs, const Matrix& rhs) {return (lhs.A == rhs.A);}friend bool operator!=(const Matrix& lhs, const Matrix& rhs) {return (lhs.A != rhs.A);}Matrix pow(long long v){Matrix res, temp = A;for(size_t i = 0; i < N; i++)res[i][i] = 1;while(v){if(v & 1)res *= temp;temp *= temp;v >>= 1;}return res;}friend std::ostream& operator << (std::ostream &os, const Matrix& rhs) noexcept {for(size_t i = 0; i < N; i++){if(i) os << '\n';for(size_t j = 0; j < N; j++){os << (j ? " " : "") << rhs[i][j];}}return os;}};int main(){ios::sync_with_stdio(false);cin.tie(0);int n, m, k;cin >> n >> m >> k;if(n == 1){cout << m << '\n';return 0;}vector<int> c(m), d;for(int i = 1; i <= m; i++){c[m - i] = m / i;}d = c;d.erase(unique(d.begin(), d.end()), d.end());int M = d.size();vector<int> cnt(M);for(int i = 1, di = M - 1; i <= m; i++){while(d[di] > c[m - i]) di--;cnt[di]++;}Matrix<mint, 64> Mt;for(int y = 0; y < M; y++){for(int x = 0; x < M; x++){if(abs(d[y] - d[x]) <= k) Mt[y][x] = cnt[x];}}auto B = Mt.pow(n - 1);mint ans;for(int y = 0; y < M; y++){for(int x = 0; x < M; x++){ans += cnt[y] * B[y][x];}}cout << ans << '\n';}