This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
* Problem: CEOI16_kangaroo - Kangaroo
* Link: https://oj.uz/problem/view/CEOI16_kangaroo
* Tags: DP CC
**/
#include<iostream>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 2000 + 3, mod = 1e9 + 7;
int n, cs, cf;
#define add(a, b) (a += b) %= mod
ll dp[N][N];
int main() {
cin.tie(NULL)->sync_with_stdio(false);
cin >> n >> cs >> cf;
if (cs > cf) cs = n - cs + 1, cf = n - cf + 1;
dp[1][1] = 1;
for (int i = 2; i <= n; ++i)
for (int j = 1; j < i; ++j) if (dp[i - 1][j]) {
if (cs == i) {
add(dp[i][j + 1], dp[i - 1][j]); // nhảy sang phải
add(dp[i][j + 0], dp[i - 1][j]); // nhảy sang trái
continue;
}
if (cf == i) {
add(dp[i][j + 1], dp[i - 1][j]); // đến từ phải
add(dp[i][j + 0], dp[i - 1][j]); // đến từ trái
add(dp[i][j - 1], dp[i - 1][j]); // merge với cs
continue;
}
add(dp[i][j + 1], dp[i - 1][j] * (j - (cs < i) - (cf < i) + 1));
add(dp[i][j - 1], dp[i - 1][j] * (j - 1));
}
cout << dp[n][1] << '\n';
}
/** /\_/\
* (= ._.)
* / >0 \>1
**/
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