oj.uz

Submission #375771

# Submission time Handle Problem Language Result Execution time Memory
375771 2021-03-10T01:22:28 Z ijxjdjd Chessboard (IZhO18_chessboard) C++14
70 / 100
 1163 ms 5484 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 = 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({{0, 0}, {4, 4}}, 2, 1) << 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 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 376 KB Output is correct
5 Correct 1 ms 384 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 28 ms 2284 KB Output is correct
2 Correct 9 ms 876 KB Output is correct
3 Correct 18 ms 1516 KB Output is correct
4 Correct 19 ms 1772 KB Output is correct
5 Correct 24 ms 2028 KB Output is correct
6 Correct 16 ms 1388 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 16 ms 1388 KB Output is correct
9 Correct 40 ms 3180 KB Output is correct
10 Correct 24 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 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 13 ms 1132 KB Output is correct
17 Correct 32 ms 2924 KB Output is correct
18 Correct 48 ms 3436 KB Output is correct
19 Correct 154 ms 3052 KB Output is correct
20 Correct 170 ms 3436 KB Output is correct
21 Correct 31 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 6 ms 620 KB Output is correct
26 Correct 27 ms 2156 KB Output is correct
27 Correct 40 ms 2412 KB Output is correct
28 Correct 47 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 9 ms 876 KB Output is correct
3 Correct 18 ms 1516 KB Output is correct
4 Correct 19 ms 1772 KB Output is correct
5 Correct 24 ms 2028 KB Output is correct
6 Correct 16 ms 1388 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 16 ms 1388 KB Output is correct
9 Correct 40 ms 3180 KB Output is correct
10 Correct 24 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 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 13 ms 1132 KB Output is correct
27 Correct 32 ms 2924 KB Output is correct
28 Correct 48 ms 3436 KB Output is correct
29 Correct 154 ms 3052 KB Output is correct
30 Correct 170 ms 3436 KB Output is correct
31 Correct 31 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 6 ms 620 KB Output is correct
36 Correct 27 ms 2156 KB Output is correct
37 Correct 40 ms 2412 KB Output is correct
38 Correct 47 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 139 ms 2924 KB Output is correct
42 Correct 54 ms 3308 KB Output is correct
43 Correct 85 ms 2924 KB Output is correct
44 Correct 51 ms 3180 KB Output is correct
45 Correct 43 ms 3436 KB Output is correct
46 Correct 158 ms 3180 KB Output is correct
47 Correct 38 ms 3052 KB Output is correct
48 Correct 69 ms 3052 KB Output is correct
49 Correct 47 ms 2924 KB Output is correct
50 Correct 681 ms 3180 KB Output is correct
51 Correct 727 ms 3308 KB Output is correct
52 Correct 675 ms 3180 KB Output is correct
53 Correct 722 ms 3308 KB Output is correct
54 Correct 665 ms 3052 KB Output is correct
55 Correct 752 ms 3436 KB Output is correct
56 Correct 648 ms 3052 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 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 376 KB Output is correct
5 Correct 1 ms 384 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 28 ms 2284 KB Output is correct
10 Correct 9 ms 876 KB Output is correct
11 Correct 18 ms 1516 KB Output is correct
12 Correct 19 ms 1772 KB Output is correct
13 Correct 24 ms 2028 KB Output is correct
14 Correct 16 ms 1388 KB Output is correct
15 Correct 4 ms 620 KB Output is correct
16 Correct 16 ms 1388 KB Output is correct
17 Correct 40 ms 3180 KB Output is correct
18 Correct 24 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 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 13 ms 1132 KB Output is correct
35 Correct 32 ms 2924 KB Output is correct
36 Correct 48 ms 3436 KB Output is correct
37 Correct 154 ms 3052 KB Output is correct
38 Correct 170 ms 3436 KB Output is correct
39 Correct 31 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 6 ms 620 KB Output is correct
44 Correct 27 ms 2156 KB Output is correct
45 Correct 40 ms 2412 KB Output is correct
46 Correct 47 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 139 ms 2924 KB Output is correct
50 Correct 54 ms 3308 KB Output is correct
51 Correct 85 ms 2924 KB Output is correct
52 Correct 51 ms 3180 KB Output is correct
53 Correct 43 ms 3436 KB Output is correct
54 Correct 158 ms 3180 KB Output is correct
55 Correct 38 ms 3052 KB Output is correct
56 Correct 69 ms 3052 KB Output is correct
57 Correct 47 ms 2924 KB Output is correct
58 Correct 681 ms 3180 KB Output is correct
59 Correct 727 ms 3308 KB Output is correct
60 Correct 675 ms 3180 KB Output is correct
61 Correct 722 ms 3308 KB Output is correct
62 Correct 665 ms 3052 KB Output is correct
63 Correct 752 ms 3436 KB Output is correct
64 Correct 648 ms 3052 KB Output is correct
65 Correct 0 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1161 ms 3308 KB Output is correct
68 Correct 1163 ms 5484 KB Output is correct
69 Incorrect 978 ms 4844 KB Output isn't correct
70 Halted 0 ms 0 KB -