結果
問題 | No.1967 Sugoroku Optimization |
ユーザー |
![]() |
提出日時 | 2022-06-03 21:54:40 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 80 ms / 2,000 ms |
コード長 | 4,412 bytes |
コンパイル時間 | 1,098 ms |
コンパイル使用メモリ | 120,812 KB |
最終ジャッジ日時 | 2025-01-29 17:40:39 |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 21 |
ソースコード
#include <iostream>#include <algorithm>#include <iomanip>#include <vector>#include <queue>#include <deque>#include <set>#include <map>#include <tuple>#include <cmath>#include <numeric>#include <functional>#include <cassert>#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;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; }using namespace std;typedef long long ll;template<typename T>vector<vector<T>> vec2d(int n, int m, T v){return vector<vector<T>>(n, vector<T>(m, v));}template<typename T>vector<vector<vector<T>>> vec3d(int n, int m, int k, T v){return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, v)));}template<typename T>void print_vector(vector<T> v, char delimiter=' '){if(v.empty()) {cout << endl;return;}for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter;cout << v.back() << endl;}const ll MOD = 998244353;class ModInt{public:ll v;ModInt(ll _v = 0){if(_v < 0) _v = (_v%MOD)+MOD;if(_v >= MOD) _v %= MOD;v = _v;}ModInt operator+(ll n){return ModInt((v+n)%MOD);}ModInt operator-(ll n){return ModInt((v-n+MOD)%MOD);}ModInt operator*(ll n){if(n >= MOD) n %= MOD;return ModInt((v*n)%MOD);}ModInt operator/(ll n){return ModInt((ModInt(n).inv()*v).v%MOD);}ModInt &operator+=(ll n){v = (v+n)%MOD;return *this;}ModInt &operator-=(ll n){v = (v-n+MOD)%MOD;return *this;}ModInt &operator*=(ll n){v = (v*n+MOD)%MOD;return *this;}ModInt operator+(ModInt n){return ModInt((v+n.v)%MOD);}ModInt operator-(ModInt n){return ModInt((v-n.v+MOD)%MOD);}ModInt operator*(ModInt n){return ModInt((v*n.v)%MOD);}ModInt operator/(ModInt n){return ModInt((n.inv()*v).v%MOD);}ModInt &operator+=(ModInt n){v = (v+n.v)%MOD;return *this;}ModInt &operator-=(ModInt n){v = (v-n.v+MOD)%MOD;return *this;}ModInt &operator*=(ModInt n){v = (v*n.v)%MOD;return *this;}bool operator==(ModInt n){return v == n.v;}bool operator!=(ModInt n){return v != n.v;}ModInt &operator=(ll n){v = n%MOD;return *this;}ModInt inv(){if(v == 1) return ModInt(1);else return ModInt(MOD-ModInt(MOD%v).inv().v*(MOD/v)%MOD);}};ostream& operator<<(ostream& os, const ModInt& m){os << m.v;return os;}istream & operator >> (istream &in, ModInt &m){in >> m.v;return in;}ModInt pow(ModInt a, ll n) {assert(n >= 0);ModInt ans = 1;while (n > 0) {if (n&1) ans = ans*a;a = a*a;n >>= 1;}return ans;}using mint = ModInt;#define N_MAX 200002ModInt inv[N_MAX],fac[N_MAX],finv[N_MAX];void init(){fac[0]=1;fac[1]=1;finv[0]=1;finv[1]=1;inv[1]=1;for(int i=2;i<N_MAX;i++){inv[i]=ModInt(MOD)-inv[MOD%i]*(MOD/i);fac[i]=fac[i-1]*(ll) i;finv[i]=finv[i-1]*inv[i];}}template<typename T>class Cumsum{public:Cumsum(vector<T> v): v(v){n = v.size();v_cumsum = vector<T>(n+1, T(0));for(int i = 0; i < n; i++) v_cumsum[i+1] = v_cumsum[i]+v[i];}/*** v[l] + ... + v[r-1]*/T sum(int l, int r){if(r <= l) return T(0);if(r > n) r = n;if(l < 0) l = 0;return v_cumsum[r]-v_cumsum[l];}private:int n;vector<T> v;vector<T> v_cumsum;};int main(){ios::sync_with_stdio(false);cin.tie(0);cout << setprecision(10) << fixed;init();int n, k; cin >> n >> k;auto dp = vec2d(k+1, n+1, mint(0));dp[0][0] = 1;for(int i = 1; i <= k; i++){dp[i][0] = 1;auto cumsum = Cumsum<mint>(dp[i-1]);for(int j = 1; j <= n; j++){dp[i][j] = cumsum.sum(0, j)*inv[j];}}cout << dp[k][n] << endl;}