Cod sursa(job #3332076)

Utilizator vladinfo_Grecu Vlad vladinfo_ Data 3 ianuarie 2026 21:02:04
Problema Cowfood Scor 78
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 3.11 kb
#include <bits/stdc++.h>
/// Template Dutzu
#define fast ios_base::sync_with_stdio(false);cin.tie(0);
#define MOD 3210121
#define int long long
using namespace std;

ifstream fin("cowfood.in");
ofstream fout("cowfood.out");
int v[21][31];
int f[100001];
bool used[31];
int total;
int k,s;
int expo(int a, int n)
{
    int p=1;
    while (n)
    {
        if (n%2)
            p=(1LL*p*a)%MOD;
        a=(1LL*a*a)%MOD;
        n/=2;
    }
    return p;
}
int comb(int n, int k)
{
    long long dem;
    dem=f[n];
    long long imp;
    imp=(1LL*f[k]*f[n-k])%MOD;
    imp=expo(imp,MOD-2);
    return (1LL*dem*imp)%MOD;
}
int maxim[31];
int A[31];
void bkt(int vf, int& rez, int n)
{
    if (vf>n)
    {
        int cnt=0;
        long long suma=0;
        memset(A,0,sizeof(A));
        for (int i=1; i<=n; i++)
            if (used[i]==1)
            {
                cnt++;
                for (int j=1; j<=k; j++)
                    A[j]=max(A[j],v[i][j]);
            }
        int difzero=0;
        for (int j=1; j<=k; j++)
        {
            suma+=A[j];
            if (A[j]>0)
                difzero++;
        }

        if (cnt==0)
            return;
        long long r=s-suma;
        if (r<0)
            return;

        long long w=comb(r+k,k);
        if (difzero==0)
        {
            w=(w-1-(1LL*k*r)%MOD+MOD)%MOD;
        }
        else if (difzero==1)
        {
            w=(w-r-1+MOD)%MOD;
        }
        if (cnt%2)
            rez=(rez+w)%MOD;
        else
            rez=(rez-w+MOD)%MOD;
        return;
    }
    bkt(vf+1,rez,n);
    used[vf]=1;
    bkt(vf+1,rez,n);
    used[vf]=0;
}
signed main()
{
    fast
    int n;
    fin>>k>>s>>n;
    f[0]=1;
    for (int i=1; i<=100000; i++)
        f[i]=(1LL*f[i-1]*i)%MOD;
    total=(comb(s+k,k)-1-1LL*k*s+MOD)%MOD;
    for (int i=1; i<=n; i++)
        for (int j=1; j<=k; j++)
            fin>>v[i][j];
    int rez=0;
    for (int mask = 1; mask < (1 << n); mask++)
    {
        int cnt = __builtin_popcount(mask);   // cate experimente alese
        int A[31] = {0};
        long long suma = 0;

        // echivalent cu: for(i=1..n) if(used[i])
        for (int x = mask; x; x &= (x - 1))
        {
            int i = __builtin_ctz(x) + 1; // +1 pentru ca v e 1-based
            for (int j = 1; j <= k; j++)
                A[j] = max(A[j], v[i][j]);
        }

        int difzero = 0;
        for (int j = 1; j <= k; j++)
        {
            suma += A[j];
            if (A[j] > 0)
                difzero++;
        }

        if (cnt == 0)
            continue;

        long long r = s - suma;
        if (r < 0)
            continue;

        long long w = comb(r + k, k);

        if (difzero == 0)
        {
            w = (w - 1 - (1LL * k * r) % MOD + MOD) % MOD;
        }
        else if (difzero == 1)
        {
            w = (w - r - 1 + MOD) % MOD;
        }

        if (cnt % 2)
            rez = (rez + w) % MOD;
        else
            rez = (rez - w + MOD) % MOD;
    }

    fout<<(total-rez+MOD)%MOD;
    return 0;
}