oj.uz

Submission #844079

# Submission time Handle Problem Language Result Execution time Memory
844079 2023-09-05T07:04:58 Z GrandTiger1729 Chessboard (IZhO18_chessboard) C++17
47 / 100
 169 ms 2136 KB 
#include <bits/stdc++.h>
using namespace std;

struct Data
{
    int x1, y1, x2, y2;
    Data() = default;
    Data(int _x1, int _y1, int _x2, int _y2) : x1(_x1), y1(_y1), x2(_x2), y2(_y2) {}
};

const long long INF = 1e18;
int main()
{
    cin.tie(0)->sync_with_stdio(0);
    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    int M, n; cin >> M >> n;
    vector<Data> a(n);
    for (int i = 0; i < n; i++)
    {
        int x1, y1, x2, y2;
        cin >> x1 >> y1 >> x2 >> y2;
        x1--, y1--;
        a[i] = Data(x1, y1, x2, y2);
    }
    auto color = [&](int t, int K, int x, int y) -> int // 1 for black -1 for white
    {
        return (t + x / K + y / K) % 2 == 1 ? 1 : -1;
    };
    auto solve = [&](int K) -> long long
    {
        long long ret1 = (1ll * (M / K) * (M / K) / 2 + M / K % 2) * K * K;
        for (auto &[x1, y1, x2, y2] : a)
        {
            int l1 = (x1 / K + (x1 % K > 0)) * K,
                r1 = (x2 / K) * K,
                l2 = (y1 / K + (y1 % K > 0)) * K,
                r2 = (y2 / K) * K;
            ret1 -= color(1, K, x1, y1) * (l1 - x1) * (l2 - y1);
            if (color(1, K, l1, y1) != color(1, K, r1, y1))
                ret1 -= color(1, K, l1, y1) * K * (l2 - y1);
            ret1 -= color(1, K, r1, y1) * (x2 - r1) * (l2 - y1);
            if (color(1, K, x1, l2) != color(1, K, x1, r2))
                ret1 -= color(1, K, x1, l2) * (l1 - x1) * K;
            if (color(1, K, l1, l2) != color(1, K, r1, l2) && color(1, K, l1, l2) != color(1, K, l1, r2))
                ret1 -= color(1, K, l1, l2) * K * K;
            if (color(1, K, r1, l2) != color(1, K, r1, r2))
                ret1 -= color(1, K, r1, l2) * (x2 - r1) * K;
            ret1 -= color(1, K, x1, r2) * (l1 - x1) * (y2 - r2);
            if (color(1, K, l1, r2) != color(1, K, r1, r2))
                ret1 -= color(1, K, l1, r2) * K * (y2 - r2);
            ret1 -= color(1, K, r1, r2) * (x2 - r1) * (y2 - r2);
        }
        long long ret2 = (1ll * (M / K) * (M / K) / 2) * K * K;
        for (auto &[x1, y1, x2, y2] : a)
        {
            int l1 = (x1 / K + (x1 % K > 0)) * K,
                r1 = (x2 / K) * K,
                l2 = (y1 / K + (y1 % K > 0)) * K,
                r2 = (y2 / K) * K;
            ret2 -= color(2, K, x1, y1) * (l1 - x1) * (l2 - y1);
            if (color(2, K, l1, y1) != color(2, K, r1, y1))
                ret2 -= color(2, K, l1, y1) * K * (l2 - y1);
            ret2 -= color(2, K, r1, y1) * (x2 - r1) * (l2 - y1);
            if (color(2, K, x1, l2) != color(2, K, x1, r2))
                ret2 -= color(2, K, x1, l2) * (l1 - x1) * K;
            if (color(2, K, l1, l2) != color(2, K, r1, l2) && color(2, K, l1, l2) != color(2, K, l1, r2))
                ret2 -= color(2, K, l1, l2) * K * K;
            if (color(2, K, r1, l2) != color(2, K, r1, r2))
                ret2 -= color(2, K, r1, l2) * (x2 - r1) * K;
            ret2 -= color(2, K, x1, r2) * (l1 - x1) * (y2 - r2);
            if (color(2, K, l1, r2) != color(2, K, r1, r2))
                ret2 -= color(2, K, l1, r2) * K * (y2 - r2);
            ret2 -= color(2, K, r1, r2) * (x2 - r1) * (y2 - r2);
        }
        return min(ret1, ret2);
    };
    long long ans = INF;
    for (int t = 1; t < M; t++)
        if (M % t == 0)
            ans = min(ans, solve(t));
    cout << ans << '\n';
    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1372 KB Output is correct
2 Correct 5 ms 604 KB Output is correct
3 Correct 12 ms 860 KB Output is correct
4 Correct 13 ms 1116 KB Output is correct
5 Correct 18 ms 1116 KB Output is correct
6 Correct 11 ms 860 KB Output is correct
7 Correct 3 ms 344 KB Output is correct
8 Correct 14 ms 860 KB Output is correct
9 Correct 27 ms 1628 KB Output is correct
10 Correct 15 ms 1116 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 412 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 412 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 10 ms 860 KB Output is correct
17 Correct 22 ms 1628 KB Output is correct
18 Correct 37 ms 1884 KB Output is correct
19 Correct 154 ms 1624 KB Output is correct
20 Correct 169 ms 2136 KB Output is correct
21 Correct 20 ms 1624 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 25 ms 1116 KB Output is correct
24 Correct 33 ms 1628 KB Output is correct
25 Correct 5 ms 604 KB Output is correct
26 Correct 21 ms 1116 KB Output is correct
27 Correct 35 ms 1372 KB Output is correct
28 Correct 35 ms 1884 KB Output is correct
29 Correct 8 ms 860 KB Output is correct
30 Correct 1 ms 344 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1372 KB Output is correct
2 Correct 5 ms 604 KB Output is correct
3 Correct 12 ms 860 KB Output is correct
4 Correct 13 ms 1116 KB Output is correct
5 Correct 18 ms 1116 KB Output is correct
6 Correct 11 ms 860 KB Output is correct
7 Correct 3 ms 344 KB Output is correct
8 Correct 14 ms 860 KB Output is correct
9 Correct 27 ms 1628 KB Output is correct
10 Correct 15 ms 1116 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 412 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 10 ms 860 KB Output is correct
27 Correct 22 ms 1628 KB Output is correct
28 Correct 37 ms 1884 KB Output is correct
29 Correct 154 ms 1624 KB Output is correct
30 Correct 169 ms 2136 KB Output is correct
31 Correct 20 ms 1624 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 25 ms 1116 KB Output is correct
34 Correct 33 ms 1628 KB Output is correct
35 Correct 5 ms 604 KB Output is correct
36 Correct 21 ms 1116 KB Output is correct
37 Correct 35 ms 1372 KB Output is correct
38 Correct 35 ms 1884 KB Output is correct
39 Correct 8 ms 860 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Incorrect 130 ms 1628 KB Output isn't correct
42 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 18 ms 1372 KB Output is correct
10 Correct 5 ms 604 KB Output is correct
11 Correct 12 ms 860 KB Output is correct
12 Correct 13 ms 1116 KB Output is correct
13 Correct 18 ms 1116 KB Output is correct
14 Correct 11 ms 860 KB Output is correct
15 Correct 3 ms 344 KB Output is correct
16 Correct 14 ms 860 KB Output is correct
17 Correct 27 ms 1628 KB Output is correct
18 Correct 15 ms 1116 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 412 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 10 ms 860 KB Output is correct
35 Correct 22 ms 1628 KB Output is correct
36 Correct 37 ms 1884 KB Output is correct
37 Correct 154 ms 1624 KB Output is correct
38 Correct 169 ms 2136 KB Output is correct
39 Correct 20 ms 1624 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 25 ms 1116 KB Output is correct
42 Correct 33 ms 1628 KB Output is correct
43 Correct 5 ms 604 KB Output is correct
44 Correct 21 ms 1116 KB Output is correct
45 Correct 35 ms 1372 KB Output is correct
46 Correct 35 ms 1884 KB Output is correct
47 Correct 8 ms 860 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Incorrect 130 ms 1628 KB Output isn't correct
50 Halted 0 ms 0 KB -