Submission #1118195

#TimeUsernameProblemLanguageResultExecution timeMemory
1118195vjudge1캥거루 (CEOI16_kangaroo)C++17
100 / 100
35 ms31840 KiB
// author - alimammadzade

#include <bits/stdc++.h>
#define int long long
using namespace std;

signed main() {
    cin.tie(nullptr)->sync_with_stdio(0);
    // system("cls"), freopen("in.txt", "r", stdin);
    int n, s, f, fixed = 0, mod = 1e9 + 7;
    cin >> n >> s >> f;
    vector<vector<int>> dp(n + 1, vector<int>(n + 1));
    dp[1][1] = 1;
    for (int i = 1; i <= n; i++) {
        fixed += (i == s or i == f);
        for (int j = 1; j < i; j++)
            if (i == s or i == f) {
                (dp[i][j + 1] += dp[i - 1][j]) %= mod;
                (dp[i][j] += dp[i - 1][j]) %= mod;
            }
            else {
                (dp[i][j + 1] += (j + 1 - fixed) * dp[i - 1][j]) %= mod;
                (dp[i][j - 1] += (j - 1) * dp[i - 1][j]) %= mod;
            }
    }
    cout << dp[n][1];
}
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