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
#define ld double
const int INF = 1e18;
const int mod = 1e9 + 7;
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, s , f;
cin >> n >> s >> f;
int dp[n + 1][n + 1];
for(int i = 1;i <= n;i++)
{
for(int j = 1;j <= n;j++) dp[i][j] = 0;
}
dp[1][1] = 1;
int fixed = 0;
for(int i = 1;i <= n;i++)
{
for(int j = 1;j < i;j++)
{
fixed += (i == s or i == f);
if(i == s or i == f)
{
dp[i][j + 1] = (dp[i][j + 1] + dp[i - 1][j]) % mod;
dp[i][j] = (dp[i][j] + dp[i - 1][j]) % mod;
}
else
{
dp[i][j + 1] = (dp[i][j + 1] + (dp[i - 1][j] * (j + 1 - fixed))) % mod;
dp[i][j - 1] = (dp[i][j - 1] + (dp[i - 1][j] * (j - 1))) % mod;
}
}
}
cout << dp[n][1] << endl;
}
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