結果

問題 No.2876 Infection
ユーザー Kude
提出日時 2024-09-07 10:54:26
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 36 ms / 2,000 ms
コード長 2,051 bytes
コンパイル時間 3,482 ms
コンパイル使用メモリ 272,016 KB
実行使用メモリ 23,652 KB
最終ジャッジ日時 2024-09-07 10:54:32
合計ジャッジ時間 5,690 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 27
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp:49:6: warning: '{anonymous}::mint {anonymous}::perm(int, int)' defined but not used [-Wunused-function]
   49 | mint perm(int n, int k) {
      |      ^~~~
main.cpp:48:6: warning: '{anonymous}::mint {anonymous}::fact(int)' defined but not used [-Wunused-function]
   48 | mint fact(int n) {return Fact[n];}
      |      ^~~~
main.cpp:44:6: warning: '{anonymous}::mint {anonymous}::icomb(int, int)' defined but not used [-Wunused-function]
   44 | mint icomb(int n, int k) {
      |      ^~~~~

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;
using mint = modint998244353;
constexpr int FACT_SIZE = 1000000;
mint Fact[FACT_SIZE + 1];
mint iFact[FACT_SIZE + 1];
const auto fact_init = [] {
Fact[0] = mint::raw(1);
for(int i = 1; i <= FACT_SIZE; ++i) {
Fact[i] = Fact[i-1] * i;
}
iFact[FACT_SIZE] = Fact[FACT_SIZE].inv();
for(int i = FACT_SIZE; i; --i) {
iFact[i-1] = iFact[i] * i;
}
return false;
}();
mint comb(int n, int k) {
if (k == 0) return mint::raw(1);
assert(n >= 0 && k >= 0);
if (k > n) return mint::raw(0);
return Fact[n] * iFact[n - k] * iFact[k];
}
mint icomb(int n, int k) {
return iFact[n] * Fact[n - k] * Fact[k];
}
mint fact(int n) {return Fact[n];}
mint perm(int n, int k) {
assert(0 <= n);
return Fact[n] * iFact[n - k];
}
constexpr int M = 2510 * 2510 / 2;
mint dp[2510], powq[M];
} int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, x;
cin >> n >> x;
mint p = mint(x) / 100, q = 1 - p;
powq[0] = 1;
rep(i, M - 1) powq[i+1] = powq[i] * q;
dp[1] = 1;
for (int i = 2; i <= n; i++) {
dp[i] = 1;
for (int j = 1; j < i; j++) {
dp[i] -= comb(i - 1, j - 1) * dp[j] * powq[j * (i - j)];
}
}
mint ans;
for (int i = 1; i <= n; i++) ans += i * comb(n - 1, i - 1) * dp[i] * powq[i * (n - i)];
cout << ans.val() << '\n';
}
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