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
ll add(ll a,ll b,ll mod)
{
return ((a%mod)+(b%mod))%mod;
}
ll mul(ll a,ll b,ll mod)
{
return ((a%mod)*(b%mod))%mod;
}
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int n,s,e;cin>>n>>s>>e;
ll dp[n+5][n+5]={};
dp[1][1]=1;
for(ll i=2;i<=n;i++)
{
for(ll o=1;o<=i;o++)
{
if(i==s||i==e)
{
dp[i][o]=add(dp[i][o],dp[i-1][o],1000000007); // add to the first or last component
dp[i][o]=add(dp[i][o],dp[i-1][o-1],1000000007); // create new component at the beginning or the end
}
else
{
dp[i][o+1]=add(dp[i][o+1],mul(dp[i-1][o],o+1-(i>s)-(i>e),1000000007),1000000007); // create new comp
if(o) dp[i][o-1]=add(dp[i][o-1],dp[i-1][o]*(o-1),1000000007); // merge two components
}
}
}
cout<<dp[n][1];
return 0;
}
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