oj.uz

Submission #375766

# Submission time Handle Problem Language Result Execution time Memory
375766 2021-03-10T00:47:58 Z ijxjdjd Chessboard (IZhO18_chessboard) C++14
70 / 100
 748 ms 262148 KB 
#include <bits/stdc++.h>
#define FR(i, N) for (int i = 0; i < int(N); i++)
#define all(x) begin(x), end(x)

#define f first
#define s second

#define int ll
using namespace std;

using ll = long long;


ll calc(pair<pair<int, int>, pair<int, int>> rec, int d, int par) {
    auto p = rec;
    if (p.f.f > p.s.f || p.f.s > p.s.s) {
        return 0;
    }
    int x1 = p.f.f/d;
    int x2 = p.s.f/d;
    int y1 = p.f.s/d;
    int y2 = p.s.s/d;
    if (p.f.f%d == 0 && p.f.s%d == 0 && p.s.f%d == d-1 && p.s.s%d == d-1) {
        int tot = (x2 - x1 + 1) * (y2 - y1 + 1);
        if ((x1 + y1)%2 == par) {
            //top left here is white
            return (((x2 - x1 + 1)*(y2 - y1 + 1) + 1)/2)*d*d;
        }
        else {
            return (tot - ((x2 - x1 + 1)*(y2 - y1 + 1) + 1)/2)*d*d;
        }
    }
    else if (p.f.f%d == 0 && p.s.f%d == d-1 && y1 == y2) {
        int tot = (x2 - x1 + 1);
        if ((x1 + y1)%2 == par) {
            return (tot + 1)/2 * (p.s.s - p.f.s + 1) * d;
        }
        else {
            return (tot - (tot + 1)/2) * (p.s.s - p.f.s + 1) * d;
        }
    }
    else if (p.f.s%d == 0 && p.s.s%d == d-1 && x1 == x2) {
        int tot = (y2 - y1 + 1);
        if ((x1 + y1)%2 == par) {
            return (tot + 1)/2 * (p.s.f - p.f.f + 1)*d;
        }
        else {
            return (tot - (tot + 1)/2) * (p.s.f - p.f.f + 1)*d;
        }
    }
    else if (x1 == x2 && y1 == y2) {
        if ((x1 + y1)%2 == par) {
           return (p.s.f - p.f.f + 1) * (p.s.s - p.f.s + 1);
        }
        else {
            return 0;
        }
    }
    else if (x1 == x2) {
        auto left = rec;
        left.s.s = y1*d+d-1;
        auto right = rec;
        right.f.s = y2*d;
        rec.f.s = (y1+1)*d;
        rec.s.s = y2*d-1;
        return calc(left, d, par) + calc(right, d, par) + calc(rec, d, par);
    }
    else if (y1 == y2) {
        auto top = rec;
        top.s.f = x1*d + d - 1;
        auto bot = rec;
        bot.f.f = x2*d;
        rec.f.f = top.s.f+1;
        rec.s.f = bot.f.f-1;
        return calc(top, d, par) + calc(bot, d, par) + calc(rec, d, par);
    }
    else {
        auto tleft = rec;
        auto bleft = rec;
        auto tright = rec;
        auto bright = rec;

        tleft.s.s = y1*d + d-1;
        tleft.s.f = x1*d + d-1;

        bleft.f.f = x2*d;
        bleft.s.s = y1*d + d-1;

        tright.f.s = y2*d;
        tright.s.f = x1*d + d-1;

        bright.f.f = x2*d;
        bright.f.s = y2*d;


        auto left = rec;
        auto right = rec;
        auto bot = rec;
        auto top = rec;

        left.f.f = tleft.s.f+1;
        left.f.s = bleft.f.s-1;
        tleft.s.s= y1*d + d-1;

        right.f.f = tright.s.f+1;
        right.s.f = bright.f.s-1;
        right.f.s=y2*d;

        bot.f.s = bleft.s.s+1;
        bot.s.s=bright.f.s-1;
        bot.f.f=x2*d;

        top.f.s=tleft.s.s+1;
        top.s.s=tright.f.s-1;
        top.s.f=x1*d+d-1;

        rec.f.f = d*(x1 + 1);
        rec.f.s = d*(y1 + 1);
        rec.s.f = d*x2-1;
        rec.s.s = d*y2-1;

        return calc(tleft, d, par) + calc(bleft, d, par) + calc(tright, d, par) + calc(bright, d, par) + calc(left, d, par) + calc(right, d, par) + calc(bot, d, par) + calc(top, d, par) + calc(rec, d, par);
    }

}
signed main() {
	cin.tie(0);
	cin.sync_with_stdio(0);
	int N, K;
	cin >> N >> K;
	vector<pair<pair<int, int>, pair<int, int>>> vec(K);
	for (int i = 0; i < K; i++) {
        cin >> vec[i].f.f >> vec[i].f.s >> vec[i].s.f >> vec[i].s.s;
        vec[i].f.f--;
        vec[i].f.s--;
        vec[i].s.f--;
        vec[i].s.s--;
	}
	int ans = N*N;
	for (int d = 1; d < N; d++) {
        if (N%d == 0) {
            int cnt = N/d;
//            ll white;
//            ll black;

            int black = d*d*((cnt * cnt)+1)/2;
            int white = d*d*(cnt*cnt - ((cnt*cnt)+1)/2);
            for (auto& p : vec) {
                int tot = (p.s.f - p.f.f + 1) * (p.s.s - p.f.s + 1);

                int res1 = calc(p, d, 0);
                int res2 = calc(p, d, 1);

                black += res2;
                black -= tot-res2;

                white += res1;
                white -= tot-res1;
            }
            ans = min({ans, white, black});
            //top left is black
        }
	}
	cout << ans << '\n';
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 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 2284 KB Output is correct
2 Correct 8 ms 1260 KB Output is correct
3 Correct 19 ms 2540 KB Output is correct
4 Correct 24 ms 2924 KB Output is correct
5 Correct 30 ms 3308 KB Output is correct
6 Correct 16 ms 2284 KB Output is correct
7 Correct 4 ms 748 KB Output is correct
8 Correct 16 ms 2284 KB Output is correct
9 Correct 40 ms 5228 KB Output is correct
10 Correct 23 ms 3052 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 1132 KB Output is correct
17 Correct 32 ms 2924 KB Output is correct
18 Correct 55 ms 3436 KB Output is correct
19 Correct 162 ms 3052 KB Output is correct
20 Correct 170 ms 3436 KB Output is correct
21 Correct 30 ms 2924 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 30 ms 1644 KB Output is correct
24 Correct 43 ms 3180 KB Output is correct
25 Correct 7 ms 620 KB Output is correct
26 Correct 28 ms 2156 KB Output is correct
27 Correct 40 ms 2412 KB Output is correct
28 Correct 46 ms 3308 KB Output is correct
29 Correct 13 ms 1388 KB Output is correct
30 Correct 2 ms 364 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 2284 KB Output is correct
2 Correct 8 ms 1260 KB Output is correct
3 Correct 19 ms 2540 KB Output is correct
4 Correct 24 ms 2924 KB Output is correct
5 Correct 30 ms 3308 KB Output is correct
6 Correct 16 ms 2284 KB Output is correct
7 Correct 4 ms 748 KB Output is correct
8 Correct 16 ms 2284 KB Output is correct
9 Correct 40 ms 5228 KB Output is correct
10 Correct 23 ms 3052 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 1132 KB Output is correct
27 Correct 32 ms 2924 KB Output is correct
28 Correct 55 ms 3436 KB Output is correct
29 Correct 162 ms 3052 KB Output is correct
30 Correct 170 ms 3436 KB Output is correct
31 Correct 30 ms 2924 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 30 ms 1644 KB Output is correct
34 Correct 43 ms 3180 KB Output is correct
35 Correct 7 ms 620 KB Output is correct
36 Correct 28 ms 2156 KB Output is correct
37 Correct 40 ms 2412 KB Output is correct
38 Correct 46 ms 3308 KB Output is correct
39 Correct 13 ms 1388 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 140 ms 4972 KB Output is correct
42 Correct 53 ms 5484 KB Output is correct
43 Correct 88 ms 4972 KB Output is correct
44 Correct 59 ms 5484 KB Output is correct
45 Correct 45 ms 5760 KB Output is correct
46 Correct 155 ms 5468 KB Output is correct
47 Correct 38 ms 5100 KB Output is correct
48 Correct 69 ms 5100 KB Output is correct
49 Correct 48 ms 4972 KB Output is correct
50 Correct 698 ms 5356 KB Output is correct
51 Correct 740 ms 5740 KB Output is correct
52 Correct 673 ms 5356 KB Output is correct
53 Correct 746 ms 5612 KB Output is correct
54 Correct 671 ms 5228 KB Output is correct
55 Correct 748 ms 5868 KB Output is correct
56 Correct 666 ms 5100 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 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 2284 KB Output is correct
10 Correct 8 ms 1260 KB Output is correct
11 Correct 19 ms 2540 KB Output is correct
12 Correct 24 ms 2924 KB Output is correct
13 Correct 30 ms 3308 KB Output is correct
14 Correct 16 ms 2284 KB Output is correct
15 Correct 4 ms 748 KB Output is correct
16 Correct 16 ms 2284 KB Output is correct
17 Correct 40 ms 5228 KB Output is correct
18 Correct 23 ms 3052 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 1132 KB Output is correct
35 Correct 32 ms 2924 KB Output is correct
36 Correct 55 ms 3436 KB Output is correct
37 Correct 162 ms 3052 KB Output is correct
38 Correct 170 ms 3436 KB Output is correct
39 Correct 30 ms 2924 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 30 ms 1644 KB Output is correct
42 Correct 43 ms 3180 KB Output is correct
43 Correct 7 ms 620 KB Output is correct
44 Correct 28 ms 2156 KB Output is correct
45 Correct 40 ms 2412 KB Output is correct
46 Correct 46 ms 3308 KB Output is correct
47 Correct 13 ms 1388 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 140 ms 4972 KB Output is correct
50 Correct 53 ms 5484 KB Output is correct
51 Correct 88 ms 4972 KB Output is correct
52 Correct 59 ms 5484 KB Output is correct
53 Correct 45 ms 5760 KB Output is correct
54 Correct 155 ms 5468 KB Output is correct
55 Correct 38 ms 5100 KB Output is correct
56 Correct 69 ms 5100 KB Output is correct
57 Correct 48 ms 4972 KB Output is correct
58 Correct 698 ms 5356 KB Output is correct
59 Correct 740 ms 5740 KB Output is correct
60 Correct 673 ms 5356 KB Output is correct
61 Correct 746 ms 5612 KB Output is correct
62 Correct 671 ms 5228 KB Output is correct
63 Correct 748 ms 5868 KB Output is correct
64 Correct 666 ms 5100 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Runtime error 311 ms 262148 KB Execution killed with signal 9
68 Halted 0 ms 0 KB -