This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int N = 2005;
const int md = 1e9 + 7;
int n, s, t;
int dp[N][N];
void add(int &x, int y) { x += y; while(x >= md) x -= md; if (x < 0) x += md; }
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n >> s >> t;
dp[0][0] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 0; j <= i-1; ++j) {
if (!dp[i-1][j]) continue;
if (i == s || i == t) {
if (j) add(dp[i][j], dp[i-1][j]);
add(dp[i][j+1], dp[i-1][j]);
}
else {
if (j >= 2) add(dp[i][j-1], 1LL * dp[i-1][j] * (j-1) % md);
int k = j - (i > s) - (i > t) + 1;
if (k > 0) add(dp[i][j+1], 1LL * dp[i-1][j] * k % md);
}
}
}
cout << dp[n][1] << endl;
}
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