Submission #587500

#	Time	Username	Problem	Language	Result	Execution time	Memory
587500		KoD	Chessboard (IZhO18_chessboard)	C++17	100 / 100	314 ms	4288 KiB

chessboard

#include <bits/stdc++.h>

using ll = long long;
using std::vector;
using std::array;
using std::pair;
using std::tuple;

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int N, Q;
    std::cin >> N >> Q;
    vector<int> A(Q), B(Q), C(Q), D(Q);
    for (int i = 0; i < Q; ++i) {
        std::cin >> A[i] >> B[i] >> C[i] >> D[i];
        A[i] -= 1;
        B[i] -= 1;
    }
    const auto calc = [&](const int x, const int d) {
        const int q = x / d;
        const int r = x % d;
        if (q % 2 == 0) {
            return r;
        } else {
            return d - r;
        }
    };
    ll ans = (ll)N * N;
    for (int d = 1; d < N; ++d) {
        if (N % d != 0) {
            continue;
        }
        ll sum = 0;
        for (int i = 0; i < Q; ++i) {
            sum += (ll)(calc(C[i], d) - calc(A[i], d)) * (calc(D[i], d) - calc(B[i], d));
        }
        const ll dif = (ll)calc(N, d) * calc(N, d) - 2 * sum;
        ans = std::min(ans, ((ll)N * N - std::abs(dif)) / 2);
    }
    std::cout << ans << '\n';
    return 0;
}

• Subtask 1: 8 / 8
• Subtask 2: 8 / 8
• Subtask 3: 15 / 15
• Subtask 4: 16 / 16
• Subtask 5: 23 / 23
• Subtask 6: 30 / 30