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 N=2005;
const int mod=1e9+7;
int n,s,e;
ll dp[N][N];
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> s >> e;
dp[1][1]=1;
int cnt=2;
for(int i=1;i<=n;i++){
if(i==s||i==e){
for(int j=1;j<i;j++){
dp[i][j+1]+=dp[i-1][j];
dp[i][j+1]%=mod;
dp[i][j]+=dp[i-1][j];
dp[i][j]%=mod;
}
cnt--;
continue;
}
for(int j=1;j<i;j++){
dp[i][j+1]+=dp[i-1][j]*(cnt+j-1)%mod;
dp[i][j+1]%=mod;
dp[i][j-1]+=dp[i-1][j]*(j-1)%mod;
dp[i][j-1]%=mod;
}
}
cout << dp[n][1];
}
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