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Submission #342739

# Submission time Handle Problem Language Result Execution time Memory
342739 2021-01-02T17:16:17 Z apostoldaniel854 Chessboard (IZhO18_chessboard) C++14
100 / 100
 691 ms 4452 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
#define pb push_back
#define dbg(x) cerr << #x << " " << x << "\n"

const int MAX_N = 1e5;
struct Rectangle {
    int x1;
    int y1;
    int x2;
    int y2;
};


int get_line (int n, int l) {
    return n / (2 * l) * l + min (n % (2 * l), l);
}

ll calc (int n, int m, int l) {
    int onX = get_line (n, l);
    int onY = get_line (m, l);
    return 1ll * onX * onY + 1ll * (n - onX) * (m - onY);
}

ll solve (int n, int l, vector <Rectangle> &rect) {
    ll black_answer = calc (n, n, l), white_answer = 1ll * n * n - black_answer;
    for (Rectangle r : rect) {
        int black = calc (r.x2, r.y2, l) - calc (r.x1 - 1, r.y2, l) - calc (r.x2, r.y1 - 1, l) + calc (r.x1 - 1, r.y1 - 1, l);
        int white = 1ll * (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1) - black;
        black_answer -= black;
        black_answer += white;
        white_answer -= white;
        white_answer += black;
    }
    return min (white_answer, black_answer);
}
int main () {
    ios::sync_with_stdio (false);
    cin.tie (0); cout.tie (0);

    int n, k;
    cin >> n >> k;
    vector <Rectangle> rect;
    for (int i = 1; i <= k; i++) {
        int x1, y1, x2, y2;
        cin >> x1 >> y1 >> x2 >> y2;
        rect.pb ({x1, y1, x2, y2});
    }
    ll ans = 1ll * n * n;
    for (int length = 1; length < n; length++)
        if (n % length == 0)
            ans = min (ans, solve (n, length, rect));
    cout << ans << "\n";
    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 1552 KB Output is correct
2 Correct 8 ms 1008 KB Output is correct
3 Correct 18 ms 1516 KB Output is correct
4 Correct 20 ms 1516 KB Output is correct
5 Correct 24 ms 1516 KB Output is correct
6 Correct 16 ms 1516 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 18 ms 1516 KB Output is correct
9 Correct 40 ms 2536 KB Output is correct
10 Correct 22 ms 1516 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 14 ms 1392 KB Output is correct
17 Correct 31 ms 2916 KB Output is correct
18 Correct 45 ms 2920 KB Output is correct
19 Correct 139 ms 2940 KB Output is correct
20 Correct 153 ms 2792 KB Output is correct
21 Correct 30 ms 2792 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 28 ms 1644 KB Output is correct
24 Correct 41 ms 2536 KB Output is correct
25 Correct 6 ms 748 KB Output is correct
26 Correct 26 ms 1516 KB Output is correct
27 Correct 38 ms 2536 KB Output is correct
28 Correct 44 ms 2536 KB Output is correct
29 Correct 13 ms 1516 KB Output is correct
30 Correct 2 ms 492 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 1552 KB Output is correct
2 Correct 8 ms 1008 KB Output is correct
3 Correct 18 ms 1516 KB Output is correct
4 Correct 20 ms 1516 KB Output is correct
5 Correct 24 ms 1516 KB Output is correct
6 Correct 16 ms 1516 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 18 ms 1516 KB Output is correct
9 Correct 40 ms 2536 KB Output is correct
10 Correct 22 ms 1516 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 14 ms 1392 KB Output is correct
27 Correct 31 ms 2916 KB Output is correct
28 Correct 45 ms 2920 KB Output is correct
29 Correct 139 ms 2940 KB Output is correct
30 Correct 153 ms 2792 KB Output is correct
31 Correct 30 ms 2792 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 28 ms 1644 KB Output is correct
34 Correct 41 ms 2536 KB Output is correct
35 Correct 6 ms 748 KB Output is correct
36 Correct 26 ms 1516 KB Output is correct
37 Correct 38 ms 2536 KB Output is correct
38 Correct 44 ms 2536 KB Output is correct
39 Correct 13 ms 1516 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 130 ms 2536 KB Output is correct
42 Correct 51 ms 2536 KB Output is correct
43 Correct 78 ms 2536 KB Output is correct
44 Correct 51 ms 2536 KB Output is correct
45 Correct 42 ms 2552 KB Output is correct
46 Correct 144 ms 2536 KB Output is correct
47 Correct 37 ms 2536 KB Output is correct
48 Correct 66 ms 2536 KB Output is correct
49 Correct 45 ms 2536 KB Output is correct
50 Correct 624 ms 2536 KB Output is correct
51 Correct 658 ms 2536 KB Output is correct
52 Correct 617 ms 2536 KB Output is correct
53 Correct 654 ms 2536 KB Output is correct
54 Correct 606 ms 2556 KB Output is correct
55 Correct 686 ms 2536 KB Output is correct
56 Correct 587 ms 2536 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 28 ms 1552 KB Output is correct
10 Correct 8 ms 1008 KB Output is correct
11 Correct 18 ms 1516 KB Output is correct
12 Correct 20 ms 1516 KB Output is correct
13 Correct 24 ms 1516 KB Output is correct
14 Correct 16 ms 1516 KB Output is correct
15 Correct 4 ms 620 KB Output is correct
16 Correct 18 ms 1516 KB Output is correct
17 Correct 40 ms 2536 KB Output is correct
18 Correct 22 ms 1516 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 14 ms 1392 KB Output is correct
35 Correct 31 ms 2916 KB Output is correct
36 Correct 45 ms 2920 KB Output is correct
37 Correct 139 ms 2940 KB Output is correct
38 Correct 153 ms 2792 KB Output is correct
39 Correct 30 ms 2792 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 28 ms 1644 KB Output is correct
42 Correct 41 ms 2536 KB Output is correct
43 Correct 6 ms 748 KB Output is correct
44 Correct 26 ms 1516 KB Output is correct
45 Correct 38 ms 2536 KB Output is correct
46 Correct 44 ms 2536 KB Output is correct
47 Correct 13 ms 1516 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 130 ms 2536 KB Output is correct
50 Correct 51 ms 2536 KB Output is correct
51 Correct 78 ms 2536 KB Output is correct
52 Correct 51 ms 2536 KB Output is correct
53 Correct 42 ms 2552 KB Output is correct
54 Correct 144 ms 2536 KB Output is correct
55 Correct 37 ms 2536 KB Output is correct
56 Correct 66 ms 2536 KB Output is correct
57 Correct 45 ms 2536 KB Output is correct
58 Correct 624 ms 2536 KB Output is correct
59 Correct 658 ms 2536 KB Output is correct
60 Correct 617 ms 2536 KB Output is correct
61 Correct 654 ms 2536 KB Output is correct
62 Correct 606 ms 2556 KB Output is correct
63 Correct 686 ms 2536 KB Output is correct
64 Correct 587 ms 2536 KB Output is correct
65 Correct 0 ms 364 KB Output is correct
66 Correct 0 ms 364 KB Output is correct
67 Correct 636 ms 4368 KB Output is correct
68 Correct 646 ms 4348 KB Output is correct
69 Correct 560 ms 4328 KB Output is correct
70 Correct 634 ms 4328 KB Output is correct
71 Correct 618 ms 4328 KB Output is correct
72 Correct 610 ms 4328 KB Output is correct
73 Correct 591 ms 4328 KB Output is correct
74 Correct 628 ms 4328 KB Output is correct
75 Correct 614 ms 4328 KB Output is correct
76 Correct 656 ms 4328 KB Output is correct
77 Correct 115 ms 4328 KB Output is correct
78 Correct 50 ms 4200 KB Output is correct
79 Correct 81 ms 4328 KB Output is correct
80 Correct 85 ms 4328 KB Output is correct
81 Correct 79 ms 4328 KB Output is correct
82 Correct 72 ms 4348 KB Output is correct
83 Correct 56 ms 4328 KB Output is correct
84 Correct 389 ms 4328 KB Output is correct
85 Correct 673 ms 4324 KB Output is correct
86 Correct 2 ms 364 KB Output is correct
87 Correct 1 ms 364 KB Output is correct
88 Correct 691 ms 4452 KB Output is correct
89 Correct 130 ms 1392 KB Output is correct
90 Correct 1 ms 364 KB Output is correct