Cod sursa(job #1954755)

Utilizator alexpetrescuAlexandru Petrescu alexpetrescu Data 5 aprilie 2017 16:57:55
Problema Arbori Scor 70
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.19 kb
#include <cstdio>

#define ll long long

#define MAXN 90

ll dp[MAXN+1], d[MAXN+1][MAXN+1][MAXN+1];

inline ll calc(int n, int m, int k){
    dp[1]=1;
    for(int i=0; i<=n; i++)
        d[1][i][0]=1;
    for(int i=2; i<=n; i++){
        for(int j=1; j<i; j++){
            for(int p=1; p<i; p++){
                ll comb=1;
                for(int q=0; (q<=p)&&(j*q<i); q++){
                    d[i][j][p]+=d[i-j*q][j-1][p-q]*comb;
                    comb*=dp[j]+q;
                    comb/=q+1;
                }
            }
        }
        for(int j=i; j<=n; j++)
            for(int p=1; p<i; p++)
                d[i][j][p]=d[i][i-1][p];
        for(int j=1; j<i; j++)
            if((j+1)%m==k)
                dp[i]+=d[i][i-1][j];
    }
    ll ans=0;
    for(int i=1; i<n; i++)
        if(i%m==k)
            ans+=d[n][n-1][i];
    return ans;
}

int main(){
    FILE *fin, *fout;
    fin=fopen("arbori.in", "r");
    fout=fopen("arbori.out", "w");

    int n, m, k;
    ll ans;
    fscanf(fin, "%d%d%d", &n, &m, &k);

    if(n==1) ans=1;
    else ans=calc(n, m, k);

    fprintf(fout, "%lld\n", ans);

    fclose(fin);
    fclose(fout);
    return 0;
}