Submission #559928

#TimeUsernameProblemLanguageResultExecution timeMemory
559928hoanghq2004Kangaroo (CEOI16_kangaroo)C++14
100 / 100
25 ms14128 KiB
#include <bits/stdc++.h>

using namespace std;

const int mod = 1e9 + 7;
const int Nmax = 2010;

int n;
int S, T;
int f[Nmax][Nmax];

int main() {
    cin >> n >> S >> T;
    f[1][1] = 1;
    for (int i = 1; i < n; ++i) {
        for (int j = 1; j <= i; ++j) {
            if (f[i][j] == 0) continue;
            if (i + 1 == S || i + 1 == T) {
                f[i + 1][j] += f[i][j];
                f[i + 1][j + 1] += f[i][j];
                if (f[i + 1][j] >= mod) f[i + 1][j] -= mod;
                if (f[i + 1][j + 1] >= mod) f[i + 1][j + 1] -= mod;
            } else {
                f[i + 1][j - 1] += 1LL * f[i][j] * (j - 1) % mod;
                if (f[i + 1][j - 1] >= mod) f[i + 1][j - 1] -= mod;
                f[i + 1][j + 1] += 1LL * (j + 1 - (i + 1 > S) - (i + 1 > T)) * f[i][j] % mod;
                if (f[i + 1][j + 1] >= mod) f[i + 1][j + 1] -= mod;
            }
        }
    }
    cout << f[n][1];
}
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