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;
typedef long long ll;
const int mxN = 2e3+5;
const int MOD = 1e9+7;
ll dp[mxN][mxN];
int n, cs, cf;
int main(){
cin >> n >> cs >> cf;
cs--, cf--;
memset(dp,0,sizeof dp);
dp[1][1] = 1;
for(int i = 1; i < n; ++i){
for(int j = 1; j <= i; ++j){
if(i == cs || i == cf){
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>cs)-(i>cf)));
dp[i+1][j+1]%=MOD;
}
}
}
cout << dp[n][1] << '\n';
}
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