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95
S2OJ/1511/1511.cpp
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95
S2OJ/1511/1511.cpp
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#include <iostream>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5;
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const int mod = 998244353;
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int n, ans = 1;
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int cnt1, cnt5, cnt7;
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int cnt2, cnt3, cnt236;
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int fac[N], inv[N], fac_inv[N];
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inline int C(int n, int m) {
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return static_cast<long long>(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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fac[0] = 1;
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for (int i = 1; i < N; i++) {
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fac[i] = static_cast<long long>(fac[i - 1]) * i % mod;
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}
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inv[0] = inv[1] = 1;
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for (int i = 2; i < N; i++) {
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inv[i] = static_cast<long long>(mod - (mod / i)) * inv[mod % i] % mod;
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}
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fac_inv[0] = fac_inv[1] = 1;
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for (int i = 2; i < N; i++) {
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fac_inv[i] = static_cast<long long>(fac_inv[i - 1]) * inv[i] % mod;
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}
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cin >> n;
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for (int i = 1, x; i <= n; i++) {
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cin >> x;
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switch (x) {
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case 1: {
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cnt1++;
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break;
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}
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case 5: {
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cnt5++;
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break;
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}
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case 7: {
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cnt7++;
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break;
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}
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case 2:
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case 4:
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case 8: {
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cnt2++;
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cnt236++;
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break;
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}
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case 3:
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case 9: {
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cnt3++;
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cnt236++;
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break;
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}
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case 6: {
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cnt236++;
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ans = static_cast<long long>(ans) * fac[cnt2 + cnt3] % mod * fac_inv[cnt2] % mod * fac_inv[cnt3] % mod;
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cnt2 = cnt3 = 0;
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break;
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}
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}
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}
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ans = static_cast<long long>(ans) * fac[cnt2 + cnt3] % mod * fac_inv[cnt2] % mod * fac_inv[cnt3] % mod;
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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;
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cout << ans << endl;
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return 0;
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}
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