| 比赛 |
26暑假集训模拟赛2 |
评测结果 |
AAAAAAAAAA |
| 题目名称 |
and I am home |
最终得分 |
100 |
| 用户昵称 |
RpUtl |
运行时间 |
0.054 s |
| 代码语言 |
C++ |
内存使用 |
3.72 MiB |
| 提交时间 |
2026-07-02 11:07:09 |
显示代码纯文本
#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
const int N = 5e5 + 10;
typedef long long ll;
ll g[N], f[N], n, fac[N], inv[N], ans, pw[N];
ll C(ll n, ll m) {
return fac[n] * inv[m] % mod * inv[n - m] % mod;
}
ll ksm(ll a, ll b) {
ll ans = 1;
while (b) {
if (b & 1) ans = ans * a % mod;
a = a * a % mod;
b >>= 1;
}
return ans;
}
int main() {
freopen("home.in", "r", stdin);
freopen("home.out", "w", stdout);
cin >> n;
fac[0] = inv[0] = pw[0] = 1;
for (int i = 1; i <= n; i++) {
fac[i] = fac[i - 1] * i % mod;
inv[i] = ksm(fac[i], mod - 2);
pw[i] = pw[i - 1] * 4 % mod;
}
for (int i = 1; i <= n; i++) {
if (i & 1) continue;
g[i] = C(i, i / 2) * C(i, i / 2) % mod;
}
for (int i = 1; i <= n; i++) {
f[i] = g[i];
for (int j = 1; j <= n; j++) {
f[i] -= f[j] * g[i - j] % mod;
f[i] %= mod;
}
}
ans = (n + 1) * pw[n] % mod;
for (int i = 1; i <= n; i++) {
ans -= f[i] * pw[n - i] % mod * (n - i + 1) % mod;
ans %= mod;
}
ans = (ans % mod + mod) % mod;
cout << ans << '\n';
return 0;
}