oj.uz

Submission #113269

# Submission time Handle Problem Language Result Execution time Memory
113269 2019-05-24T14:04:08 Z FutymyClone Chessboard (IZhO18_chessboard) C++14
70 / 100
 349 ms 4460 KB 
#include <bits/stdc++.h>

using namespace std;

struct Rect {
    int x, y, x2, y2;
    Rect (int x = 0, int y = 0, int x2 = 0, int y2 = 0): x(x), y(y), x2(x2), y2(y2) {}
};

int n, k;
vector <Rect> vec;
long long ans = 1e18;

int round_up (int n, int r) {
    return n % r == 0 ? n + 1 : n + r - n % r + 1;
}

int round_down (int n, int r) {
    return n % r == 0 ? n : n - n % r;
}

bool is_black (int x, int y, int len) {
    int cellx = (x % len == 0 ? x / len : x / len + 1) % 2;
    int celly = (y % len == 0 ? y / len : y / len + 1) % 2;
    return cellx == celly;
}

int getcellx (int x, int len) {
    return x % len == 0 ? x / len : x / len + 1;
}

int getcelly (int y, int len) {
    return y % len == 0 ? y / len : y / len + 1;
}

long long solve (int len) {
    int nsquare = n / len; //Number of square in each row and each column
    long long res = (1LL * nsquare * nsquare + 1) / 2 * len * len; //initialize result as number of needed black squares

    for (auto rect: vec) {
        int x = rect.x, y = rect.y, x2 = rect.x2, y2 = rect.y2;
        int upx = round_up(x, len), upy = round_up(y, len), downx = round_down(x2, len), downy = round_down(y2, len);
        if (downx >= upx && downy >= upy) {
            long long sq = 1LL * (downx - upx + 1) * (downy - upy + 1) / len;
            long long nblack = is_black(x, y, len) ? (sq + 1) / 2 : sq / 2;
            long long nwhite = sq - nblack;
            res -= nblack * len * len, res += nwhite * len * len;
        }

        if (downx >= upx) {
            long long sq = 1LL * (downx - upx + 1) / len;
            long long nblack = is_black(x, y, len) ? sq / 2 : (sq + 1) / 2;
            long long nwhite = sq - nblack;
            res -= nblack * len * (min(upy - 1, y2) - y + 1);
            res += nwhite * len * (min(upy - 1, y2) - y + 1);
            if (getcelly(y, len) != getcelly(y2, len)) {
                res -= nblack * len * (y2 - max(y, downy + 1) + 1);
                res += nwhite * len * (y2 - max(y, downy + 1) + 1);
            }
        }

        if (downy >= upy) {
            long long sq = 1LL * (downy - upy + 1) / len;
            long long nblack = is_black(x, y, len) ? sq / 2 : (sq + 1) / 2;
            long long nwhite = sq - nblack;
            res -= nblack * len * (min(upx - 1, x2) - x + 1);
            res += nwhite * len * (min(upx - 1, x2) - x + 1);
            if (getcellx(x, len) != getcellx(x2, len)) {
                res -= nblack * len * (x2 - max(x, downx + 1) + 1);
                res += nwhite * len * (x2 - max(x, downx + 1) + 1);
            }
        }

        if (getcellx(x, len) == getcellx(x2, len) && getcelly(y, len) == getcelly(y2, len)) {
            if (is_black(x, y, len)) res -= 1LL * (x2 - x + 1) * (y2 - y + 1);
            else res += 1LL * (x2 - x + 1) * (y2 - y + 1);
        }
        else if (getcellx(x, len) == getcellx(x2, len)) {
            if (is_black(x, y, len)) res -= 1LL * (x2 - x + 1) * (upy - y);
            else res += 1LL * (x2 - x + 1) * (upy - y);

            if (is_black(x, y2, len)) res -= 1LL * (x2 - x + 1) * (y2 - downy);
            else res += 1LL * (x2 - x + 1) * (y2 - downy);
        }
        else if (getcelly(y, len) == getcelly(y2, len)) {
            if (is_black(x, y, len)) res -= 1LL * (upx - x) * (y2 - y + 1);
            else res += 1LL * (upx - x) * (y2 - y + 1);

            if (is_black(x2, y, len)) res -= 1LL * (x2 - downx) * (y2 - y + 1);
            else res += 1LL * (x2 - downx) * (y2 - y + 1);
        }
        else {
            if (is_black(x, y, len)) res -= 1LL * (upx - x) * (upy - y);
            else res += 1LL * (upx - x) * (upy - y);

            if (is_black(x2, y, len)) res -= 1LL * (x2 - downx) * (upy - y);
            else res += 1LL * (x2 - downx) * (upy - y);

            if (is_black(x, y2, len)) res -= 1LL * (upx - x) * (y2 - downy);
            else res += 1LL * (upx - x) * (y2 - downy);

            if (is_black(x2, y2, len)) res -= 1LL * (x2 - downx) * (y2 - downy);
            else res += 1LL * (x2 - downx) * (y2 - downy);
        }
    }

    return res;
}

long long calc() {
    long long res = (1LL * n * n + 1) / 2;
    for (auto rect: vec) {
        int x = rect.x, y = rect.y, x2 = rect.x2, y2 = rect.y2;
        long long sq = 1LL * (x2 - x + 1) * (y2 - y + 1);
        long long nblack = is_black(x, y, 1) ? (sq + 1) / 2 : sq / 2;
        long long nwhite = sq - nblack;
        res -= nblack; res += nwhite;
    }

    return res;
}

int main(){
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin >> n >> k;
    for (int i = 1; i <= k; i++) {
        int x, y, x2, y2;
        cin >> x >> y >> x2 >> y2;
        vec.push_back(Rect(x, y, x2, y2));
    }

    long long res = calc();
    ans = min(ans, min(res, 1LL * n * n - res));
    for (int i = 2; i * i <= n; i++) {
        if (n % i == 0) {
            long long temp = solve(i);
            ans = min(ans, min(temp, 1LL * n * n - temp));
            temp = solve(n / i);
            ans = min(ans, min(temp, 1LL * n * n - temp));
        }
    }

    cout << ans;
    return 0;
}
/*
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/

Subtask #1
8.0 / 8.0

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

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1524 KB Output is correct
2 Correct 9 ms 1024 KB Output is correct
3 Correct 17 ms 1504 KB Output is correct
4 Correct 20 ms 1532 KB Output is correct
5 Correct 23 ms 1532 KB Output is correct
6 Correct 16 ms 1532 KB Output is correct
7 Correct 5 ms 640 KB Output is correct
8 Correct 14 ms 1532 KB Output is correct
9 Correct 35 ms 2552 KB Output is correct
10 Correct 20 ms 1532 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 512 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 512 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 512 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 12 ms 1536 KB Output is correct
17 Correct 27 ms 3824 KB Output is correct
18 Correct 36 ms 3824 KB Output is correct
19 Correct 82 ms 3824 KB Output is correct
20 Correct 87 ms 3824 KB Output is correct
21 Correct 26 ms 3824 KB Output is correct
22 Correct 3 ms 384 KB Output is correct
23 Correct 21 ms 2172 KB Output is correct
24 Correct 33 ms 3828 KB Output is correct
25 Correct 6 ms 896 KB Output is correct
26 Correct 21 ms 2300 KB Output is correct
27 Correct 30 ms 3704 KB Output is correct
28 Correct 37 ms 3868 KB Output is correct
29 Correct 12 ms 2044 KB Output is correct
30 Correct 3 ms 512 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1524 KB Output is correct
2 Correct 9 ms 1024 KB Output is correct
3 Correct 17 ms 1504 KB Output is correct
4 Correct 20 ms 1532 KB Output is correct
5 Correct 23 ms 1532 KB Output is correct
6 Correct 16 ms 1532 KB Output is correct
7 Correct 5 ms 640 KB Output is correct
8 Correct 14 ms 1532 KB Output is correct
9 Correct 35 ms 2552 KB Output is correct
10 Correct 20 ms 1532 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 3 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 12 ms 1536 KB Output is correct
27 Correct 27 ms 3824 KB Output is correct
28 Correct 36 ms 3824 KB Output is correct
29 Correct 82 ms 3824 KB Output is correct
30 Correct 87 ms 3824 KB Output is correct
31 Correct 26 ms 3824 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 21 ms 2172 KB Output is correct
34 Correct 33 ms 3828 KB Output is correct
35 Correct 6 ms 896 KB Output is correct
36 Correct 21 ms 2300 KB Output is correct
37 Correct 30 ms 3704 KB Output is correct
38 Correct 37 ms 3868 KB Output is correct
39 Correct 12 ms 2044 KB Output is correct
40 Correct 3 ms 512 KB Output is correct
41 Correct 70 ms 4336 KB Output is correct
42 Correct 41 ms 4344 KB Output is correct
43 Correct 49 ms 4344 KB Output is correct
44 Correct 38 ms 4456 KB Output is correct
45 Correct 36 ms 4360 KB Output is correct
46 Correct 80 ms 4336 KB Output is correct
47 Correct 33 ms 4336 KB Output is correct
48 Correct 43 ms 4348 KB Output is correct
49 Correct 36 ms 4404 KB Output is correct
50 Correct 270 ms 4372 KB Output is correct
51 Correct 283 ms 4340 KB Output is correct
52 Correct 263 ms 4336 KB Output is correct
53 Correct 280 ms 4336 KB Output is correct
54 Correct 267 ms 4336 KB Output is correct
55 Correct 291 ms 4460 KB Output is correct
56 Correct 250 ms 4344 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 24 ms 1524 KB Output is correct
10 Correct 9 ms 1024 KB Output is correct
11 Correct 17 ms 1504 KB Output is correct
12 Correct 20 ms 1532 KB Output is correct
13 Correct 23 ms 1532 KB Output is correct
14 Correct 16 ms 1532 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 14 ms 1532 KB Output is correct
17 Correct 35 ms 2552 KB Output is correct
18 Correct 20 ms 1532 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 3 ms 384 KB Output is correct
32 Correct 2 ms 384 KB Output is correct
33 Correct 2 ms 512 KB Output is correct
34 Correct 12 ms 1536 KB Output is correct
35 Correct 27 ms 3824 KB Output is correct
36 Correct 36 ms 3824 KB Output is correct
37 Correct 82 ms 3824 KB Output is correct
38 Correct 87 ms 3824 KB Output is correct
39 Correct 26 ms 3824 KB Output is correct
40 Correct 3 ms 384 KB Output is correct
41 Correct 21 ms 2172 KB Output is correct
42 Correct 33 ms 3828 KB Output is correct
43 Correct 6 ms 896 KB Output is correct
44 Correct 21 ms 2300 KB Output is correct
45 Correct 30 ms 3704 KB Output is correct
46 Correct 37 ms 3868 KB Output is correct
47 Correct 12 ms 2044 KB Output is correct
48 Correct 3 ms 512 KB Output is correct
49 Correct 70 ms 4336 KB Output is correct
50 Correct 41 ms 4344 KB Output is correct
51 Correct 49 ms 4344 KB Output is correct
52 Correct 38 ms 4456 KB Output is correct
53 Correct 36 ms 4360 KB Output is correct
54 Correct 80 ms 4336 KB Output is correct
55 Correct 33 ms 4336 KB Output is correct
56 Correct 43 ms 4348 KB Output is correct
57 Correct 36 ms 4404 KB Output is correct
58 Correct 270 ms 4372 KB Output is correct
59 Correct 283 ms 4340 KB Output is correct
60 Correct 263 ms 4336 KB Output is correct
61 Correct 280 ms 4336 KB Output is correct
62 Correct 267 ms 4336 KB Output is correct
63 Correct 291 ms 4460 KB Output is correct
64 Correct 250 ms 4344 KB Output is correct
65 Correct 2 ms 384 KB Output is correct
66 Correct 2 ms 384 KB Output is correct
67 Incorrect 349 ms 4308 KB Output isn't correct
68 Halted 0 ms 0 KB -