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>
#define ll long long
using namespace std;
const int N = 2000+1, mod = 1e9+7;
int n, a, b;
ll dp[N][N];
int main(){
ios_base::sync_with_stdio(false);
cout.tie(0);
cin.tie(0);
cin >> n >> a >> b;
dp[0][0] = 1;
for(int i = 1; i <= n; ++i){
if(i == a || i == b)
for(int j = 1; j <= i; ++j)
dp[i][j] = (dp[i-1][j-1] + dp[i-1][j])%mod;
else
for(int j = 1; j <= i; ++j){
int not_edges = j - 2 + (i < a) + (i < b);
dp[i][j] = (dp[i-1][j+1]*j + dp[i-1][j-1]*not_edges)%mod;
}
}
cout << dp[n][1] << "\n";
}
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