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 MAXN 2010
#define ll long long
using namespace std;
const int mod = 1e9 + 7;
int dp[MAXN][MAXN];
int add(int x, int y) {
x += y;
return (x >= mod) ? x - mod : x;
}
int mul(int x, int y) {
return (ll)x * y % mod;
}
int main() {
int n, cs, cf;
cin >> n >> cs >> cf;
dp[0][0] = 1;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
if(i == cs || i == cf)
dp[i][j] = add(dp[i - 1][j], dp[i - 1][j - 1]);
else
dp[i][j] = add(mul(dp[i - 1][j + 1], j), mul(dp[i - 1][j - 1], j - (i > cs) - (i > cf)));
}
}
cout << dp[n][1] << endl;
return 0;
}
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