답안 #41572 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
41572	2018-02-19T09:15:39 Z	cheater2k	Chessboard (IZhO18_chessboard)	C++14	47 / 100	2000 ms	2480 KB

chessboard

#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 5;

int n, k, nrec;
int lx[N], ly[N], rx[N], ry[N];
long long ans = 1e18;

int get(int t, int l, int r) {
    // count the number of x such that l <= x <= r and (x / k) % 2 == t
    if (l / k == r / k) {
        if ((l / k) % 2 == t) return r - l + 1; else return 0;
    }
    int ret = 0;

    if ((l / k) % 2 == t) ret += ((l / k) + 1) * k - l;
    if ((r / k) % 2 == t) ret += r - (r / k) * k + 1;
    
    l = (l / k) + 1;
    r = (r / k) - 1;

    if (l % 2 != t) ++l;
    if (r % 2 != t) --r;
    
    ret += max(0, (r - l) / 2 + 1) * k;

    return ret;
}

long long calc(int color, int lx, int ly, int rx, int ry) {
    // count the number of cells with (x + y) == color (modulo 2)
    int row[2] = {0, 0}, col[2] = {0, 0};
    for (int i = 0; i < 2; ++i) {
        row[i] = get(i, lx, rx);
        col[i] = get(i, ly, ry);
    }

    long long ret = 0;
    for (int i = 0; i < 2; ++i) {
        for (int j = 0; j < 2; ++j) if ((i + j) % 2 == color) {
            ret += 1LL * row[i] * col[j];
        }
    }
    return ret;
}

void solve() {
    for (int t = 0; t < 2; ++t) {
        // black cells: (x, y) such that (x + y) == t (modulo 2)
        long long cur = calc(t, 0, 0, n - 1, n - 1); // number of black cells
        for (int i = 1; i <= nrec; ++i) {
            cur -= calc(t, lx[i], ly[i], rx[i], ry[i]); // black cells
            cur += calc(t ^ 1, lx[i], ly[i], rx[i], ry[i]); // white cells
        }
        ans = min(ans, cur);
    }
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> n >> nrec;
    for (int i = 1; i <= nrec; ++i) {
        cin >> lx[i] >> ly[i] >> rx[i] >> ry[i];
        --lx[i]; --ly[i]; --rx[i]; --ry[i];
    }
    for (k = 1; k < n; ++k) if (n % k == 0) {
        solve();
    }
    cout << ans << endl;
}

Subtask #1
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	248 KB	Output is correct
2	Correct	2 ms	356 KB	Output is correct
3	Correct	2 ms	412 KB	Output is correct
4	Correct	1 ms	532 KB	Output is correct
5	Correct	2 ms	532 KB	Output is correct
6	Correct	1 ms	548 KB	Output is correct
7	Correct	2 ms	572 KB	Output is correct
8	Correct	2 ms	704 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	39 ms	1740 KB	Output is correct
2	Correct	11 ms	1740 KB	Output is correct
3	Correct	26 ms	1740 KB	Output is correct
4	Correct	28 ms	1740 KB	Output is correct
5	Correct	34 ms	1740 KB	Output is correct
6	Correct	21 ms	1740 KB	Output is correct
7	Correct	6 ms	1740 KB	Output is correct
8	Correct	21 ms	1740 KB	Output is correct
9	Correct	88 ms	2220 KB	Output is correct
10	Correct	33 ms	2220 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	2220 KB	Output is correct
2	Correct	2 ms	2220 KB	Output is correct
3	Correct	2 ms	2220 KB	Output is correct
4	Correct	3 ms	2220 KB	Output is correct
5	Correct	2 ms	2220 KB	Output is correct
6	Correct	2 ms	2220 KB	Output is correct
7	Correct	2 ms	2220 KB	Output is correct
8	Correct	2 ms	2220 KB	Output is correct
9	Correct	2 ms	2220 KB	Output is correct
10	Correct	1 ms	2220 KB	Output is correct
11	Correct	2 ms	2220 KB	Output is correct
12	Correct	2 ms	2220 KB	Output is correct
13	Correct	3 ms	2220 KB	Output is correct
14	Correct	3 ms	2220 KB	Output is correct
15	Correct	2 ms	2220 KB	Output is correct

Subtask #4
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	2220 KB	Output is correct
2	Correct	2 ms	2220 KB	Output is correct
3	Correct	2 ms	2220 KB	Output is correct
4	Correct	3 ms	2220 KB	Output is correct
5	Correct	2 ms	2220 KB	Output is correct
6	Correct	2 ms	2220 KB	Output is correct
7	Correct	2 ms	2220 KB	Output is correct
8	Correct	2 ms	2220 KB	Output is correct
9	Correct	2 ms	2220 KB	Output is correct
10	Correct	1 ms	2220 KB	Output is correct
11	Correct	2 ms	2220 KB	Output is correct
12	Correct	2 ms	2220 KB	Output is correct
13	Correct	3 ms	2220 KB	Output is correct
14	Correct	3 ms	2220 KB	Output is correct
15	Correct	2 ms	2220 KB	Output is correct
16	Correct	26 ms	2220 KB	Output is correct
17	Correct	48 ms	2220 KB	Output is correct
18	Correct	90 ms	2352 KB	Output is correct
19	Correct	507 ms	2352 KB	Output is correct
20	Correct	560 ms	2480 KB	Output is correct
21	Correct	43 ms	2480 KB	Output is correct
22	Correct	3 ms	2480 KB	Output is correct
23	Correct	73 ms	2480 KB	Output is correct
24	Correct	82 ms	2480 KB	Output is correct
25	Correct	16 ms	2480 KB	Output is correct
26	Correct	52 ms	2480 KB	Output is correct
27	Correct	94 ms	2480 KB	Output is correct
28	Correct	88 ms	2480 KB	Output is correct
29	Correct	28 ms	2480 KB	Output is correct
30	Correct	6 ms	2480 KB	Output is correct

Subtask #5
0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	39 ms	1740 KB	Output is correct
2	Correct	11 ms	1740 KB	Output is correct
3	Correct	26 ms	1740 KB	Output is correct
4	Correct	28 ms	1740 KB	Output is correct
5	Correct	34 ms	1740 KB	Output is correct
6	Correct	21 ms	1740 KB	Output is correct
7	Correct	6 ms	1740 KB	Output is correct
8	Correct	21 ms	1740 KB	Output is correct
9	Correct	88 ms	2220 KB	Output is correct
10	Correct	33 ms	2220 KB	Output is correct
11	Correct	2 ms	2220 KB	Output is correct
12	Correct	2 ms	2220 KB	Output is correct
13	Correct	2 ms	2220 KB	Output is correct
14	Correct	3 ms	2220 KB	Output is correct
15	Correct	2 ms	2220 KB	Output is correct
16	Correct	2 ms	2220 KB	Output is correct
17	Correct	2 ms	2220 KB	Output is correct
18	Correct	2 ms	2220 KB	Output is correct
19	Correct	2 ms	2220 KB	Output is correct
20	Correct	1 ms	2220 KB	Output is correct
21	Correct	2 ms	2220 KB	Output is correct
22	Correct	2 ms	2220 KB	Output is correct
23	Correct	3 ms	2220 KB	Output is correct
24	Correct	3 ms	2220 KB	Output is correct
25	Correct	2 ms	2220 KB	Output is correct
26	Correct	26 ms	2220 KB	Output is correct
27	Correct	48 ms	2220 KB	Output is correct
28	Correct	90 ms	2352 KB	Output is correct
29	Correct	507 ms	2352 KB	Output is correct
30	Correct	560 ms	2480 KB	Output is correct
31	Correct	43 ms	2480 KB	Output is correct
32	Correct	3 ms	2480 KB	Output is correct
33	Correct	73 ms	2480 KB	Output is correct
34	Correct	82 ms	2480 KB	Output is correct
35	Correct	16 ms	2480 KB	Output is correct
36	Correct	52 ms	2480 KB	Output is correct
37	Correct	94 ms	2480 KB	Output is correct
38	Correct	88 ms	2480 KB	Output is correct
39	Correct	28 ms	2480 KB	Output is correct
40	Correct	6 ms	2480 KB	Output is correct
41	Correct	438 ms	2480 KB	Output is correct
42	Correct	99 ms	2480 KB	Output is correct
43	Correct	222 ms	2480 KB	Output is correct
44	Correct	101 ms	2480 KB	Output is correct
45	Correct	56 ms	2480 KB	Output is correct
46	Correct	457 ms	2480 KB	Output is correct
47	Correct	65 ms	2480 KB	Output is correct
48	Correct	157 ms	2480 KB	Output is correct
49	Correct	82 ms	2480 KB	Output is correct
50	Execution timed out	2045 ms	2480 KB	Time limit exceeded
51	Halted	0 ms	0 KB	-

Subtask #6
0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	248 KB	Output is correct
2	Correct	2 ms	356 KB	Output is correct
3	Correct	2 ms	412 KB	Output is correct
4	Correct	1 ms	532 KB	Output is correct
5	Correct	2 ms	532 KB	Output is correct
6	Correct	1 ms	548 KB	Output is correct
7	Correct	2 ms	572 KB	Output is correct
8	Correct	2 ms	704 KB	Output is correct
9	Correct	39 ms	1740 KB	Output is correct
10	Correct	11 ms	1740 KB	Output is correct
11	Correct	26 ms	1740 KB	Output is correct
12	Correct	28 ms	1740 KB	Output is correct
13	Correct	34 ms	1740 KB	Output is correct
14	Correct	21 ms	1740 KB	Output is correct
15	Correct	6 ms	1740 KB	Output is correct
16	Correct	21 ms	1740 KB	Output is correct
17	Correct	88 ms	2220 KB	Output is correct
18	Correct	33 ms	2220 KB	Output is correct
19	Correct	2 ms	2220 KB	Output is correct
20	Correct	2 ms	2220 KB	Output is correct
21	Correct	2 ms	2220 KB	Output is correct
22	Correct	3 ms	2220 KB	Output is correct
23	Correct	2 ms	2220 KB	Output is correct
24	Correct	2 ms	2220 KB	Output is correct
25	Correct	2 ms	2220 KB	Output is correct
26	Correct	2 ms	2220 KB	Output is correct
27	Correct	2 ms	2220 KB	Output is correct
28	Correct	1 ms	2220 KB	Output is correct
29	Correct	2 ms	2220 KB	Output is correct
30	Correct	2 ms	2220 KB	Output is correct
31	Correct	3 ms	2220 KB	Output is correct
32	Correct	3 ms	2220 KB	Output is correct
33	Correct	2 ms	2220 KB	Output is correct
34	Correct	26 ms	2220 KB	Output is correct
35	Correct	48 ms	2220 KB	Output is correct
36	Correct	90 ms	2352 KB	Output is correct
37	Correct	507 ms	2352 KB	Output is correct
38	Correct	560 ms	2480 KB	Output is correct
39	Correct	43 ms	2480 KB	Output is correct
40	Correct	3 ms	2480 KB	Output is correct
41	Correct	73 ms	2480 KB	Output is correct
42	Correct	82 ms	2480 KB	Output is correct
43	Correct	16 ms	2480 KB	Output is correct
44	Correct	52 ms	2480 KB	Output is correct
45	Correct	94 ms	2480 KB	Output is correct
46	Correct	88 ms	2480 KB	Output is correct
47	Correct	28 ms	2480 KB	Output is correct
48	Correct	6 ms	2480 KB	Output is correct
49	Correct	438 ms	2480 KB	Output is correct
50	Correct	99 ms	2480 KB	Output is correct
51	Correct	222 ms	2480 KB	Output is correct
52	Correct	101 ms	2480 KB	Output is correct
53	Correct	56 ms	2480 KB	Output is correct
54	Correct	457 ms	2480 KB	Output is correct
55	Correct	65 ms	2480 KB	Output is correct
56	Correct	157 ms	2480 KB	Output is correct
57	Correct	82 ms	2480 KB	Output is correct
58	Execution timed out	2045 ms	2480 KB	Time limit exceeded
59	Halted	0 ms	0 KB	-

답안 #41572

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 8.0 / 8.0

Subtask #3 15.0 / 15.0

Subtask #4 16.0 / 16.0

Subtask #5 0 / 23.0

Subtask #6 0 / 30.0

Subtask #1
8.0 / 8.0

Subtask #2
8.0 / 8.0

Subtask #3
15.0 / 15.0

Subtask #4
16.0 / 16.0

Subtask #5
0 / 23.0

Subtask #6
0 / 30.0