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#1511. 【CSP七连测Day1】华二

https://sjzezoj.com/submission/56218
This commit is contained in:
Baoshuo Ren 2022-09-09 16:37:13 +08:00
parent 7bf70ed9bb
commit e0ae2db0e2
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
22 changed files with 158 additions and 0 deletions

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#include <iostream>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1e5 + 5;
const int mod = 998244353;
int n, ans = 1;
int cnt1, cnt5, cnt7;
int cnt2, cnt3, cnt236;
int fac[N], inv[N], fac_inv[N];
inline int C(int n, int m) {
return static_cast<long long>(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod;
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
fac[0] = 1;
for (int i = 1; i < N; i++) {
fac[i] = static_cast<long long>(fac[i - 1]) * i % mod;
}
inv[0] = inv[1] = 1;
for (int i = 2; i < N; i++) {
inv[i] = static_cast<long long>(mod - (mod / i)) * inv[mod % i] % mod;
}
fac_inv[0] = fac_inv[1] = 1;
for (int i = 2; i < N; i++) {
fac_inv[i] = static_cast<long long>(fac_inv[i - 1]) * inv[i] % mod;
}
cin >> n;
for (int i = 1, x; i <= n; i++) {
cin >> x;
switch (x) {
case 1: {
cnt1++;
break;
}
case 5: {
cnt5++;
break;
}
case 7: {
cnt7++;
break;
}
case 2:
case 4:
case 8: {
cnt2++;
cnt236++;
break;
}
case 3:
case 9: {
cnt3++;
cnt236++;
break;
}
case 6: {
cnt236++;
ans = static_cast<long long>(ans) * fac[cnt2 + cnt3] % mod * fac_inv[cnt2] % mod * fac_inv[cnt3] % mod;
cnt2 = cnt3 = 0;
break;
}
}
}
ans = static_cast<long long>(ans) * fac[cnt2 + cnt3] % mod * fac_inv[cnt2] % mod * fac_inv[cnt3] % mod;
ans = static_cast<long long>(ans) * fac[cnt1 + cnt236 + cnt5 + cnt7] % mod * fac_inv[cnt1] % mod * fac_inv[cnt236] % mod * fac_inv[cnt5] % mod * fac_inv[cnt7] % mod;
cout << ans << endl;
return 0;
}

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