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Submission #844080

# Submission time Handle Problem Language Result Execution time Memory
844080 2023-09-05T07:08:43 Z GrandTiger1729 Chessboard (IZhO18_chessboard) C++17
100 / 100
 790 ms 4188 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) -> long long // 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 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1368 KB Output is correct
2 Correct 6 ms 600 KB Output is correct
3 Correct 12 ms 1112 KB Output is correct
4 Correct 13 ms 1112 KB Output is correct
5 Correct 16 ms 1112 KB Output is correct
6 Correct 11 ms 860 KB Output is correct
7 Correct 3 ms 344 KB Output is correct
8 Correct 11 ms 856 KB Output is correct
9 Correct 31 ms 1624 KB Output is correct
10 Correct 15 ms 1112 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 344 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 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 600 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 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 344 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 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 600 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 856 KB Output is correct
17 Correct 22 ms 1628 KB Output is correct
18 Correct 36 ms 1880 KB Output is correct
19 Correct 157 ms 1624 KB Output is correct
20 Correct 171 ms 1880 KB Output is correct
21 Correct 20 ms 1624 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 25 ms 1112 KB Output is correct
24 Correct 33 ms 1628 KB Output is correct
25 Correct 5 ms 344 KB Output is correct
26 Correct 21 ms 1112 KB Output is correct
27 Correct 37 ms 1368 KB Output is correct
28 Correct 38 ms 1884 KB Output is correct
29 Correct 8 ms 856 KB Output is correct
30 Correct 1 ms 344 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1368 KB Output is correct
2 Correct 6 ms 600 KB Output is correct
3 Correct 12 ms 1112 KB Output is correct
4 Correct 13 ms 1112 KB Output is correct
5 Correct 16 ms 1112 KB Output is correct
6 Correct 11 ms 860 KB Output is correct
7 Correct 3 ms 344 KB Output is correct
8 Correct 11 ms 856 KB Output is correct
9 Correct 31 ms 1624 KB Output is correct
10 Correct 15 ms 1112 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 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 344 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 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 600 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 856 KB Output is correct
27 Correct 22 ms 1628 KB Output is correct
28 Correct 36 ms 1880 KB Output is correct
29 Correct 157 ms 1624 KB Output is correct
30 Correct 171 ms 1880 KB Output is correct
31 Correct 20 ms 1624 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 25 ms 1112 KB Output is correct
34 Correct 33 ms 1628 KB Output is correct
35 Correct 5 ms 344 KB Output is correct
36 Correct 21 ms 1112 KB Output is correct
37 Correct 37 ms 1368 KB Output is correct
38 Correct 38 ms 1884 KB Output is correct
39 Correct 8 ms 856 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 130 ms 1624 KB Output is correct
42 Correct 39 ms 1880 KB Output is correct
43 Correct 74 ms 1624 KB Output is correct
44 Correct 38 ms 1880 KB Output is correct
45 Correct 28 ms 1880 KB Output is correct
46 Correct 146 ms 1880 KB Output is correct
47 Correct 25 ms 1624 KB Output is correct
48 Correct 59 ms 1624 KB Output is correct
49 Correct 34 ms 1624 KB Output is correct
50 Correct 679 ms 1880 KB Output is correct
51 Correct 714 ms 1880 KB Output is correct
52 Correct 675 ms 1880 KB Output is correct
53 Correct 711 ms 1880 KB Output is correct
54 Correct 661 ms 1624 KB Output is correct
55 Correct 737 ms 1880 KB Output is correct
56 Correct 648 ms 1624 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 18 ms 1368 KB Output is correct
10 Correct 6 ms 600 KB Output is correct
11 Correct 12 ms 1112 KB Output is correct
12 Correct 13 ms 1112 KB Output is correct
13 Correct 16 ms 1112 KB Output is correct
14 Correct 11 ms 860 KB Output is correct
15 Correct 3 ms 344 KB Output is correct
16 Correct 11 ms 856 KB Output is correct
17 Correct 31 ms 1624 KB Output is correct
18 Correct 15 ms 1112 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 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 344 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 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 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 856 KB Output is correct
35 Correct 22 ms 1628 KB Output is correct
36 Correct 36 ms 1880 KB Output is correct
37 Correct 157 ms 1624 KB Output is correct
38 Correct 171 ms 1880 KB Output is correct
39 Correct 20 ms 1624 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 25 ms 1112 KB Output is correct
42 Correct 33 ms 1628 KB Output is correct
43 Correct 5 ms 344 KB Output is correct
44 Correct 21 ms 1112 KB Output is correct
45 Correct 37 ms 1368 KB Output is correct
46 Correct 38 ms 1884 KB Output is correct
47 Correct 8 ms 856 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 130 ms 1624 KB Output is correct
50 Correct 39 ms 1880 KB Output is correct
51 Correct 74 ms 1624 KB Output is correct
52 Correct 38 ms 1880 KB Output is correct
53 Correct 28 ms 1880 KB Output is correct
54 Correct 146 ms 1880 KB Output is correct
55 Correct 25 ms 1624 KB Output is correct
56 Correct 59 ms 1624 KB Output is correct
57 Correct 34 ms 1624 KB Output is correct
58 Correct 679 ms 1880 KB Output is correct
59 Correct 714 ms 1880 KB Output is correct
60 Correct 675 ms 1880 KB Output is correct
61 Correct 711 ms 1880 KB Output is correct
62 Correct 661 ms 1624 KB Output is correct
63 Correct 737 ms 1880 KB Output is correct
64 Correct 648 ms 1624 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 726 ms 3920 KB Output is correct
68 Correct 724 ms 3920 KB Output is correct
69 Correct 623 ms 3644 KB Output is correct
70 Correct 692 ms 3920 KB Output is correct
71 Correct 686 ms 3764 KB Output is correct
72 Correct 680 ms 3668 KB Output is correct
73 Correct 663 ms 3664 KB Output is correct
74 Correct 716 ms 3920 KB Output is correct
75 Correct 684 ms 3920 KB Output is correct
76 Correct 730 ms 4176 KB Output is correct
77 Correct 115 ms 4188 KB Output is correct
78 Correct 39 ms 3924 KB Output is correct
79 Correct 78 ms 3672 KB Output is correct
80 Correct 81 ms 3932 KB Output is correct
81 Correct 78 ms 3676 KB Output is correct
82 Correct 62 ms 3928 KB Output is correct
83 Correct 50 ms 3664 KB Output is correct
84 Correct 427 ms 4176 KB Output is correct
85 Correct 755 ms 4176 KB Output is correct
86 Correct 1 ms 344 KB Output is correct
87 Correct 1 ms 344 KB Output is correct
88 Correct 790 ms 4176 KB Output is correct
89 Correct 145 ms 1112 KB Output is correct
90 Correct 1 ms 344 KB Output is correct