Cod sursa(job #2397827)

Utilizator IulianOleniucIulian Oleniuc IulianOleniuc Data 4 aprilie 2019 19:53:04
Problema Diamant Scor 30
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.19 kb
#include <vector>
#include <fstream>

using std::vector;
const int MOD = 10007;

std::ifstream fin("diamant.in");
std::ofstream fout("diamant.out");

int main() {
    int m, n, x;
    fin >> m >> n >> x;

    int dim = (m * (m + 1) / 2) * (n * (n + 1) / 2);
    if (!(-dim <= x && x <= dim)) {
        fout << "0\n";
        fout.close();
        return 0;
    }

    vector<int> dp[2];
    dp[0].resize(2 * dim + 1);
    dp[1].resize(2 * dim + 1);

    bool ind = false;
    dp[ind][dim] = 1;
    
    for (int i = 1; i <= m; i++)
        for (int j = 1; j <= n; j++) {
            for (int k = 0; k < (int) dp[ind].size(); k++)
                dp[!ind][k] = dp[ind][k];

            for (int k = (int) dp[ind].size() - 1; k >= 0; k--)
                if (k + i * j < (int) dp[ind].size())
                    dp[!ind][k + i * j] = (dp[!ind][k + i * j] + dp[ind][k]) % MOD;
            
            for (int k = 0; k < (int) dp[ind].size(); k++)
                if (k - i * j >= 0)
                    dp[!ind][k - i * j] = (dp[!ind][k - i * j] + dp[ind][k]) % MOD;
            ind ^= true;
        }
    fout << dp[ind][dim + x] << '\n';

    fout.close();
    return 0;
}