Cod sursa(job #1761568)

Utilizator eddie.deaconuDeaconu Stefan-Eduard eddie.deaconu Data 22 septembrie 2016 15:58:06
Problema Cowfood Scor 76
Compilator cpp Status done
Runda Arhiva de probleme Marime 2.1 kb
#include <iostream>
#include <fstream>

using namespace std;

const int MOD = 3210121;
int K, S, N;
int V, E;
int M[21][31], x[21], MAX[21][31], scomb[10001];

void euclidExt(int a, int b, int &d, int &x, int &y)
{
    int x1 = 0, y1 = 1;
    x = 1, y = 0;
    while(b != 0)
    {
        int q = a / b;
        int r = a % b;
        a = b;
        b = r;
        int x0 = x - x1 * q;
        int y0 = y - y1 * q;
        x = x1;
        y = y1;
        x1 = x0;
        y1 = y0;
    }
    d = a;
}

int inversMod(int a)
{
    int d, x, y;
    euclidExt(a, MOD, d, x, y);
    x %= MOD;
    if(x < 0) x += MOD;
    return x;
}

void sumComb()
{
    scomb[0] = 1;
    long long c = 1;
    for(int i = 0; i < S; i++)
    {
        c *= (i + K);
        c %= MOD;
        c *= inversMod(i + 1);
        c %= MOD;
        scomb[i + 1] = scomb[i] + c;
        scomb[i + 1] %= MOD;
    }
    return;
}

void maxv(int A[], int B[], int C[])
{
    for(int i = 1; i <= K; i++)
        C[i] = max(A[i], B[i]);
}

void genComb(int n, int m)
{
    int k = 1;
    x[1] = 0;
    int semn;
    if(m % 2 != 0) semn = 1;
    else semn = -1;
    while(k > 0)
        if(x[k] < n - m + k)
        {
            x[k]++;
            maxv(MAX[k - 1], M[x[k]], MAX[k]);
            if(k == m)
            {
                int D = S;
                for(int i = 1; i <= K; i++)
                    D -= MAX[m][i];
                int t = MOD + semn * scomb[D];
                E += t;
                E %= MOD;
            }
            else
            {
                k++;
                x[k] = x[k - 1];
            }
        }
        else
            k--;
}

int main()
{
    ifstream f("cowfood.in");
    ofstream g("cowfood.out");
    f >> K >> S >> N;
    sumComb();
    for(int i = 1; i <= N; i++)
        for(int j = 1; j <= K; j++)
            f >> M[i][j];
    for(int i = 1; i <= N; i++)
        genComb(N, i);
    V = scomb[S] - S * K - E - 1;
    V %= MOD;
    while (V < 0) V += MOD;
    g << V;
    f.close();
    g.close();
    return 0;
}