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;
const int MOD = 1000000007;
int dp[2005][2005];
int main() {
int n, start, finish;
cin >> n >> start >> finish;
dp[0][0] = 1;
bool has_start = 0;
bool has_end = 0;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++) {
if (i == start || i == finish) {
dp[i][j] = (1LL * dp[i][j] + dp[i - 1][j] + dp[i - 1][j - 1]) % MOD;
if (i == start)
has_start = 1;
if (i == finish)
has_end = 1;
}
else {
dp[i][j] = (1LL * dp[i][j] + 1LL * (j - has_start - has_end) * dp[i - 1][j - 1] % MOD) % MOD;
dp[i][j] = (1LL * dp[i][j] + 1LL * j * dp[i - 1][j + 1] % MOD) % MOD;
}
}
cout << dp[n][1] << '\n';
return 0;
}
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