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 FOR(i, l, r) for(int i = (l); i <= (r); ++i)
#define REP(i, l, r) for(int i = (l); i < (r); ++i)
#define FORD(i, r, l) for(int i = (r); i >= (l); --i)
using namespace std;
const int N = 2005, MOD = 1e9 + 7;
int n, ss, tt;
long long dp[N][N];
int main()
{
cin >> n >> ss >> tt;
dp[0][0] = 1;
int exist = 0;
FOR(i, 1, n) {
FOR(j, 0, i) {
if (i != ss && i != tt) {
if (i == n) {
dp[n][0] = dp[n - 1][1];
}
else if (exist == 1) {
if (j > 0) dp[i][j] += dp[i - 1][j - 1];
dp[i][j] += dp[i - 1][j + 1] * j * j;
}
else {
if (j > 0) dp[i][j] += dp[i - 1][j - 1];
dp[i][j] += dp[i - 1][j + 1] * (j + 1) * j;
}
}
else {
if (i == n) {
dp[n][0] = dp[n - 1][1];
}
if (exist) {
if (j > 0) dp[i][j] += dp[i - 1][j];
dp[i][j] += dp[i - 1][j + 1] * j;
}
else {
if (j > 0) dp[i][j] += dp[i - 1][j - 1];
dp[i][j] += dp[i - 1][j] * j;
}
}
dp[i][j] %= MOD;
}
if (i == ss || i == tt) ++exist;
}
cout << dp[n][0];
}
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