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;
#define ll long long
const int nx=2e3+5, mod=1e9+7;
ll dp[nx][nx], n, s, e, k=2;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n>>s>>e;
dp[1][1]=1;
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][j+1]+dp[i-1][j])%mod;
dp[i][j]=(dp[i][j]+dp[i-1][j])%mod;
}
k--;
continue;
}
for (int j=1; j<i; j++)
{
dp[i][j+1]=(dp[i][j+1]+dp[i-1][j]*(ll)(j+1-k-2))%mod;
dp[i][j-1]=(dp[i][j-1]+dp[i-1][j]*(ll)(j-1))%mod;
}
}
cout<<dp[n][1];
}
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