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ans.cpp
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61 lines (50 loc) · 1.25 KB
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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
#include <set>
using namespace std;
typedef long long ll;
const int E = 1000 + 11;
const ll MOD = 998244353;
int n, a, b, p, q;
ll f1[E][E]; // f1[i][j] AλÓÚ i´¦, ×ßÁË j²½µÄ¸ÅÂÊ
ll f2[E][E]; // ........ B........................
ll qpow(ll a, ll b, ll p) {
ll ans = 1;
for (; b; b >>= 1) {
if (b & 1) ans = ans * a % p;
a = a * a % p;
}
return ans;
}
int main() {
scanf("%d%d%d%d%d", &n, &a, &b, &p, &q);
f1[a][0] = 1;
f2[b][0] = 1;
for (int i = a; i < n; i++) {
for (int j = 0; j <= n - a; j++) {
for (int k = 1; k <= p; k++) {
f1[min(i + k, n)][j + 1] += f1[i][j] * qpow(p, MOD - 2, MOD) % MOD;
f1[min(i + k, n)][j + 1] = (f1[min(i + k, n)][j + 1] + MOD) % MOD;
}
}
}
for (int i = b; i < n; i++) {
for (int j = 0; j <= n - b; j++) {
for (int k = 1; k <= q; k++) {
f2[min(i + k, n)][j + 1] += f2[i][j] * qpow(q, MOD - 2, MOD) % MOD;
f2[min(i + k, n)][j + 1] = (f2[min(i + k, n)][j + 1] + MOD) % MOD;
}
}
}
ll ans = 0;
for (int j = 0; j <= n; j++) {
for (int i = b; i <= n; i++) {
ans = (ans + f1[n][j] * f2[i][j] % MOD) % MOD;
}
}
printf("%lld\n", (ans + MOD) % MOD);
return 0;
}