Cod sursa(job #2516542)

Utilizator Ionut28Porumb Palincas Ionut Ionut28 Data 1 ianuarie 2020 14:24:59
Problema Permutari2 Scor 80
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 0.76 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin("permutari2.in");
ofstream fout("permutari2.out");
const int nmax = 300;
const int mod = 10007;
int n, k, dp[nmax + 5][nmax + 5], f[nmax];
int main()
{
    fin >> n >> k;
    dp[1][1] = 1;
    dp[2][1] = 1;
    dp[2][2] = 1;
    f[1] = 1;
    for(int i = 2; i <= n; ++i)
        f[i] = (f[i - 1]*i) % mod;
    for(int i = 3; i <= n; ++i)
    {
        dp[i][1] = f[i];
        for(int j = 2; j <= i; ++j)
        {
            for(int k = j - 1; k < i; ++k)
                dp[i][j] = (dp[i][j] + dp[k][j - 1]*dp[i - k][1]) % mod;
            dp[i][1] -= dp[i][j];
            if(dp[i][1] < 0)
                dp[i][1] += mod;
        }
    }
    fout << dp[n][k] % mod;
    return 0;
}