oj.uz

Submission #375773

# Submission time Handle Problem Language Result Execution time Memory
375773 2021-03-10T01:38:19 Z ijxjdjd Chessboard (IZhO18_chessboard) C++14
70 / 100
 1163 ms 3436 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 (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 (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) {
        auto left = rec;
        left.s.s = y1*d+d-1;

        auto right = rec;
        right.f.s = y2*d;

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

        right.f.f = tright.s.f+1;
        right.s.f = bright.f.f-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);
		cerr << calc({{1, 5}, {8, 7}}, 3, 0) << endl;

	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 512 KB Output is correct
2 Correct 1 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 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

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 2284 KB Output is correct
2 Correct 8 ms 876 KB Output is correct
3 Correct 18 ms 1516 KB Output is correct
4 Correct 18 ms 1772 KB Output is correct
5 Correct 26 ms 2028 KB Output is correct
6 Correct 16 ms 1408 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 15 ms 1388 KB Output is correct
9 Correct 39 ms 3180 KB Output is correct
10 Correct 23 ms 1900 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 384 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 384 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 15 ms 1132 KB Output is correct
17 Correct 30 ms 2924 KB Output is correct
18 Correct 46 ms 3436 KB Output is correct
19 Correct 151 ms 3052 KB Output is correct
20 Correct 170 ms 3436 KB Output is correct
21 Correct 29 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 42 ms 3180 KB Output is correct
25 Correct 6 ms 620 KB Output is correct
26 Correct 27 ms 2156 KB Output is correct
27 Correct 39 ms 2412 KB Output is correct
28 Correct 45 ms 3308 KB Output is correct
29 Correct 12 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 27 ms 2284 KB Output is correct
2 Correct 8 ms 876 KB Output is correct
3 Correct 18 ms 1516 KB Output is correct
4 Correct 18 ms 1772 KB Output is correct
5 Correct 26 ms 2028 KB Output is correct
6 Correct 16 ms 1408 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 15 ms 1388 KB Output is correct
9 Correct 39 ms 3180 KB Output is correct
10 Correct 23 ms 1900 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 384 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 15 ms 1132 KB Output is correct
27 Correct 30 ms 2924 KB Output is correct
28 Correct 46 ms 3436 KB Output is correct
29 Correct 151 ms 3052 KB Output is correct
30 Correct 170 ms 3436 KB Output is correct
31 Correct 29 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 42 ms 3180 KB Output is correct
35 Correct 6 ms 620 KB Output is correct
36 Correct 27 ms 2156 KB Output is correct
37 Correct 39 ms 2412 KB Output is correct
38 Correct 45 ms 3308 KB Output is correct
39 Correct 12 ms 1388 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 138 ms 2924 KB Output is correct
42 Correct 51 ms 3308 KB Output is correct
43 Correct 83 ms 2924 KB Output is correct
44 Correct 54 ms 3180 KB Output is correct
45 Correct 42 ms 3436 KB Output is correct
46 Correct 155 ms 3180 KB Output is correct
47 Correct 39 ms 3052 KB Output is correct
48 Correct 67 ms 3052 KB Output is correct
49 Correct 46 ms 2924 KB Output is correct
50 Correct 677 ms 3180 KB Output is correct
51 Correct 726 ms 3308 KB Output is correct
52 Correct 673 ms 3180 KB Output is correct
53 Correct 726 ms 3308 KB Output is correct
54 Correct 663 ms 3052 KB Output is correct
55 Correct 743 ms 3436 KB Output is correct
56 Correct 646 ms 3052 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 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 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 27 ms 2284 KB Output is correct
10 Correct 8 ms 876 KB Output is correct
11 Correct 18 ms 1516 KB Output is correct
12 Correct 18 ms 1772 KB Output is correct
13 Correct 26 ms 2028 KB Output is correct
14 Correct 16 ms 1408 KB Output is correct
15 Correct 4 ms 620 KB Output is correct
16 Correct 15 ms 1388 KB Output is correct
17 Correct 39 ms 3180 KB Output is correct
18 Correct 23 ms 1900 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 384 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 15 ms 1132 KB Output is correct
35 Correct 30 ms 2924 KB Output is correct
36 Correct 46 ms 3436 KB Output is correct
37 Correct 151 ms 3052 KB Output is correct
38 Correct 170 ms 3436 KB Output is correct
39 Correct 29 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 42 ms 3180 KB Output is correct
43 Correct 6 ms 620 KB Output is correct
44 Correct 27 ms 2156 KB Output is correct
45 Correct 39 ms 2412 KB Output is correct
46 Correct 45 ms 3308 KB Output is correct
47 Correct 12 ms 1388 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 138 ms 2924 KB Output is correct
50 Correct 51 ms 3308 KB Output is correct
51 Correct 83 ms 2924 KB Output is correct
52 Correct 54 ms 3180 KB Output is correct
53 Correct 42 ms 3436 KB Output is correct
54 Correct 155 ms 3180 KB Output is correct
55 Correct 39 ms 3052 KB Output is correct
56 Correct 67 ms 3052 KB Output is correct
57 Correct 46 ms 2924 KB Output is correct
58 Correct 677 ms 3180 KB Output is correct
59 Correct 726 ms 3308 KB Output is correct
60 Correct 673 ms 3180 KB Output is correct
61 Correct 726 ms 3308 KB Output is correct
62 Correct 663 ms 3052 KB Output is correct
63 Correct 743 ms 3436 KB Output is correct
64 Correct 646 ms 3052 KB Output is correct
65 Correct 0 ms 364 KB Output is correct
66 Correct 0 ms 364 KB Output is correct
67 Correct 1162 ms 3308 KB Output is correct
68 Correct 1163 ms 3308 KB Output is correct
69 Incorrect 990 ms 2924 KB Output isn't correct
70 Halted 0 ms 0 KB -