Cod sursa(job #3345832)

Utilizator Dia3141Costea Diana Stefania Dia3141 Data 11 martie 2026 12:13:35
Problema Cowfood Scor 78
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.23 kb
#include <fstream>
#define mod 3210121
using namespace std;
ifstream cin("cowfood.in");
ofstream cout("cowfood.out");
int a[21][31],b[21],dp[10002][31],ans,k,n,s;
void bck(int pas,int last){
    if(pas!=0){
        int sum=0;
        for(int j=1;j<=k;j++){
            int maxi=0;
            for(int p=1;p<=pas;p++)
                maxi=max(maxi,a[b[p]][j]);
            sum+=maxi;
            if(sum>s)
                return ;
        }
        sum=s-sum;
        if(pas%2==0)
            ans=(ans-dp[sum][k]+mod)%mod;
        else
            ans=(ans+dp[sum][k])%mod;
    }
    for(int i=last+1;i<=n;i++){
        b[pas+1]=i;
        bck(pas+1,i);
    }
}
signed main()
{
    cin>>k>>s>>n;
    for(int i=1;i<=n;i++){
        for(int j=1;j<=k;j++)
            cin>>a[i][j];
    }
    for(int j=1;j<=k;j++)
        dp[0][j]=1;
    for(int i=1;i<=s;i++)
        for(int j=1;j<=k;j++)
            dp[i][j]=(dp[i-1][j]+dp[i][j-1])%mod;
    for(int i=1;i<=s;i++)
        for(int j=1;j<=k;j++)
            dp[i][j]=(dp[i][j]+dp[i-1][j])%mod;
    bck(0,0);
    /// nr total de permutari - permutarea (0,0,0 ..) - cele care au doar un eleme nenul
    cout<<(dp[s][k]-1-1ll*s*k%mod-ans+2*mod)%mod;
    return 0;
}