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;
int n,st,ed;
ll dp[2005][2005],mod=1e9+7;
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
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 || i+1==ed) {
dp[i+1][j]=(dp[i+1][j]+dp[i][j])%mod;
dp[i+1][j+1]=(dp[i+1][j+1]+dp[i][j])%mod;
} else {
dp[i+1][j+1]=(dp[i+1][j+1]+dp[i][j]*(j+1-(i+1>st)-(i+1>ed)))%mod;
dp[i+1][j-1]=(dp[i+1][j-1]+dp[i][j]*(j-1))%mod;
}
}
}
cout<<dp[n][1];
}
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