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;
using ll = long long;
const int N = 2e3+10;
int n,St,Ed;
ll dp[N][N],mod = 1e9+7;
int main(void){
cin >> n >> St >> Ed;
dp[1][1] = 1;
for(int i = 1; i < n; i++){
for(int j = 1; j <= i; j++){
if(i + 1 == St or i + 1 == Ed){
dp[i+1][j] += dp[i][j];
dp[i+1][j] %= mod;
dp[i+1][j+1] += dp[i][j];
dp[i+1][j+1] %= mod;
}else{
dp[i+1][j-1] += dp[i][j]*(j-1);
dp[i+1][j-1] %= mod;
dp[i+1][j+1] += dp[i][j]*(j+1-(i >= St)-(i >= Ed));
dp[i+1][j+1] %= mod;
}
}
}
cout << dp[n][1] << "\n";
return 0;
}
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