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;
constexpr int NMAX = 2005;
constexpr int MOD = 1e9 + 7;
int N, cs, cf;
int dp[NMAX][NMAX];
void Add (int &x, int y) {
x = x + y;
if (x >= MOD) x -= MOD;
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> N >> cs >> cf;
dp[1][1] = 1;
for (int i = 1; i < N; ++ i ) {
for (int j = 1; j <= N; ++ j ) {
if (i + 1 == cs || i + 1 == cf) {
Add(dp[i+1][j], dp[i][j]);
Add(dp[i+1][j+1], dp[i][j]);
}
else {
Add(dp[i+1][j-1], 1LL * (j-1) * dp[i][j] % MOD);
Add(dp[i+1][j+1], 1LL * (j+1 - (i >= cs) - (i >= cf)) * dp[i][j] % MOD);
}
}
}
cout << dp[N][1] << '\n';
return 0;
}
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