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 int long long
const int sz=2e5+5;
const int INF=1e18;
const int MOD=1e9+7;
int dp[2005][2005];
void solve()
{
int n,cf,cn,cnt=0;
cin>>n>>cf>>cn;
dp[1][1]=1;
for(int i=1;i<=n;i++)
{
if(i==cf || i==cn)
cnt++;
for(int j=1;j<i;j++)
{
if(i==cf || i==cn)
{
dp[i][j]+=dp[i-1][j]%MOD;
dp[i][j+1]+=dp[i-1][j]%MOD;
}
else
{
dp[i][j+1]+=(dp[i-1][j]*(j+1-cnt))%MOD;
dp[i][j-1]+=(dp[i-1][j]*(j-1))%MOD;
}
}
}
cout<<dp[n][1];
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t=1;
//cin>>t;
while(t--)
{
solve();
}
}
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