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Submission #41171

# Submission time Handle Problem Language Result Execution time Memory
41171 2018-02-13T09:08:34 Z aome Chessboard (IZhO18_chessboard) C++14
100 / 100
 551 ms 104812 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 100005;

struct Rec {
	int x1, y1, x2, y2;
} rec[N];

int n, m;
long long res = 1e18;

void cal(int x, int l, int r, int *cnt) {
	cnt[0] = cnt[1] = 0;
	if (l / x != r / x) {
		cnt[0] += ( (r / x - 1) / 2 - l / x / 2 ) * x;
		if (r / x % 2 == 0) cnt[0] += r - r / x * x + 1;
		if (l / x % 2 == 0) cnt[0] += (l / x + 1) * x - l;
	}
	else {
		if (l / x % 2 == 0) cnt[0] += r - l + 1;
	}
	cnt[1] = r - l + 1 - cnt[0];
	// cout << "# " << cnt[0] << ' ' << cnt[1] << '\n';
}

void solve(int fix) {
	long long val1 = 0, val2 = 0;
	// change all white -> black
	val1 = 1LL * (n / fix) * (n / fix) / 2 * fix * fix;
	val2 = 1LL * n * n - val1;
	// cout << "#val " << val1 << ' ' << val2 << '\n';
	for (int i = 1; i <= m; ++i) {
		int cntx[2], cnty[2];
		// cout << "#X\n";
		cal(fix, rec[i].x1, rec[i].x2, cntx);
		// cout << "#Y\n";
		cal(fix, rec[i].y1, rec[i].y2, cnty);
		val1 += 1LL * cntx[0] * cnty[0] + 1LL * cntx[1] * cnty[1]; // black -> white
		val1 -= 1LL * cntx[0] * cnty[1] + 1LL * cntx[1] * cnty[0]; // black -> black
		val2 += 1LL * cntx[0] * cnty[1] + 1LL * cntx[1] * cnty[0]; // black -> white
		val2 -= 1LL * cntx[0] * cnty[0] + 1LL * cntx[1] * cnty[1]; // black -> black
	}
	// cout << "#at " << fix << ' ' << val1 << ' ' << val2 << '\n'; 
	res = min(res, min(val1, val2));
}

int main() {
	ios::sync_with_stdio(false);
	cin >> n >> m;
	for (int i = 1; i <= m; ++i) {
		cin >> rec[i].x1 >> rec[i].y1 >> rec[i].x2 >> rec[i].y2;
		rec[i].x1--, rec[i].x2--, rec[i].y1--, rec[i].y2--;
	}
	// solve(2);
	for (int i = 1; i < n; ++i) {
		if (n % i == 0) solve(i);
	}
	cout << res;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 248 KB Output is correct
2 Correct 1 ms 484 KB Output is correct
3 Correct 1 ms 568 KB Output is correct
4 Correct 1 ms 568 KB Output is correct
5 Correct 1 ms 648 KB Output is correct
6 Correct 1 ms 648 KB Output is correct
7 Correct 1 ms 648 KB Output is correct
8 Correct 1 ms 648 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 3052 KB Output is correct
2 Correct 9 ms 3052 KB Output is correct
3 Correct 19 ms 4060 KB Output is correct
4 Correct 22 ms 5052 KB Output is correct
5 Correct 24 ms 6392 KB Output is correct
6 Correct 18 ms 6932 KB Output is correct
7 Correct 5 ms 6932 KB Output is correct
8 Correct 17 ms 8048 KB Output is correct
9 Correct 43 ms 10872 KB Output is correct
10 Correct 23 ms 11460 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11460 KB Output is correct
2 Correct 1 ms 11460 KB Output is correct
3 Correct 1 ms 11460 KB Output is correct
4 Correct 2 ms 11460 KB Output is correct
5 Correct 2 ms 11460 KB Output is correct
6 Correct 2 ms 11460 KB Output is correct
7 Correct 2 ms 11460 KB Output is correct
8 Correct 2 ms 11460 KB Output is correct
9 Correct 2 ms 11460 KB Output is correct
10 Correct 2 ms 11460 KB Output is correct
11 Correct 2 ms 11460 KB Output is correct
12 Correct 2 ms 11460 KB Output is correct
13 Correct 2 ms 11460 KB Output is correct
14 Correct 2 ms 11460 KB Output is correct
15 Correct 2 ms 11460 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11460 KB Output is correct
2 Correct 1 ms 11460 KB Output is correct
3 Correct 1 ms 11460 KB Output is correct
4 Correct 2 ms 11460 KB Output is correct
5 Correct 2 ms 11460 KB Output is correct
6 Correct 2 ms 11460 KB Output is correct
7 Correct 2 ms 11460 KB Output is correct
8 Correct 2 ms 11460 KB Output is correct
9 Correct 2 ms 11460 KB Output is correct
10 Correct 2 ms 11460 KB Output is correct
11 Correct 2 ms 11460 KB Output is correct
12 Correct 2 ms 11460 KB Output is correct
13 Correct 2 ms 11460 KB Output is correct
14 Correct 2 ms 11460 KB Output is correct
15 Correct 2 ms 11460 KB Output is correct
16 Correct 13 ms 11744 KB Output is correct
17 Correct 33 ms 13996 KB Output is correct
18 Correct 46 ms 15724 KB Output is correct
19 Correct 118 ms 17092 KB Output is correct
20 Correct 128 ms 18900 KB Output is correct
21 Correct 33 ms 19856 KB Output is correct
22 Correct 2 ms 19856 KB Output is correct
23 Correct 30 ms 19896 KB Output is correct
24 Correct 48 ms 22256 KB Output is correct
25 Correct 9 ms 22256 KB Output is correct
26 Correct 31 ms 22712 KB Output is correct
27 Correct 36 ms 23984 KB Output is correct
28 Correct 43 ms 25980 KB Output is correct
29 Correct 14 ms 25980 KB Output is correct
30 Correct 3 ms 25980 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 3052 KB Output is correct
2 Correct 9 ms 3052 KB Output is correct
3 Correct 19 ms 4060 KB Output is correct
4 Correct 22 ms 5052 KB Output is correct
5 Correct 24 ms 6392 KB Output is correct
6 Correct 18 ms 6932 KB Output is correct
7 Correct 5 ms 6932 KB Output is correct
8 Correct 17 ms 8048 KB Output is correct
9 Correct 43 ms 10872 KB Output is correct
10 Correct 23 ms 11460 KB Output is correct
11 Correct 2 ms 11460 KB Output is correct
12 Correct 1 ms 11460 KB Output is correct
13 Correct 1 ms 11460 KB Output is correct
14 Correct 2 ms 11460 KB Output is correct
15 Correct 2 ms 11460 KB Output is correct
16 Correct 2 ms 11460 KB Output is correct
17 Correct 2 ms 11460 KB Output is correct
18 Correct 2 ms 11460 KB Output is correct
19 Correct 2 ms 11460 KB Output is correct
20 Correct 2 ms 11460 KB Output is correct
21 Correct 2 ms 11460 KB Output is correct
22 Correct 2 ms 11460 KB Output is correct
23 Correct 2 ms 11460 KB Output is correct
24 Correct 2 ms 11460 KB Output is correct
25 Correct 2 ms 11460 KB Output is correct
26 Correct 13 ms 11744 KB Output is correct
27 Correct 33 ms 13996 KB Output is correct
28 Correct 46 ms 15724 KB Output is correct
29 Correct 118 ms 17092 KB Output is correct
30 Correct 128 ms 18900 KB Output is correct
31 Correct 33 ms 19856 KB Output is correct
32 Correct 2 ms 19856 KB Output is correct
33 Correct 30 ms 19896 KB Output is correct
34 Correct 48 ms 22256 KB Output is correct
35 Correct 9 ms 22256 KB Output is correct
36 Correct 31 ms 22712 KB Output is correct
37 Correct 36 ms 23984 KB Output is correct
38 Correct 43 ms 25980 KB Output is correct
39 Correct 14 ms 25980 KB Output is correct
40 Correct 3 ms 25980 KB Output is correct
41 Correct 102 ms 28384 KB Output is correct
42 Correct 48 ms 30792 KB Output is correct
43 Correct 68 ms 32668 KB Output is correct
44 Correct 50 ms 34944 KB Output is correct
45 Correct 47 ms 37372 KB Output is correct
46 Correct 111 ms 39468 KB Output is correct
47 Correct 47 ms 41452 KB Output is correct
48 Correct 58 ms 43760 KB Output is correct
49 Correct 43 ms 45592 KB Output is correct
50 Correct 461 ms 47968 KB Output is correct
51 Correct 477 ms 50316 KB Output is correct
52 Correct 445 ms 52228 KB Output is correct
53 Correct 474 ms 54764 KB Output is correct
54 Correct 450 ms 56820 KB Output is correct
55 Correct 492 ms 59328 KB Output is correct
56 Correct 436 ms 61324 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 248 KB Output is correct
2 Correct 1 ms 484 KB Output is correct
3 Correct 1 ms 568 KB Output is correct
4 Correct 1 ms 568 KB Output is correct
5 Correct 1 ms 648 KB Output is correct
6 Correct 1 ms 648 KB Output is correct
7 Correct 1 ms 648 KB Output is correct
8 Correct 1 ms 648 KB Output is correct
9 Correct 28 ms 3052 KB Output is correct
10 Correct 9 ms 3052 KB Output is correct
11 Correct 19 ms 4060 KB Output is correct
12 Correct 22 ms 5052 KB Output is correct
13 Correct 24 ms 6392 KB Output is correct
14 Correct 18 ms 6932 KB Output is correct
15 Correct 5 ms 6932 KB Output is correct
16 Correct 17 ms 8048 KB Output is correct
17 Correct 43 ms 10872 KB Output is correct
18 Correct 23 ms 11460 KB Output is correct
19 Correct 2 ms 11460 KB Output is correct
20 Correct 1 ms 11460 KB Output is correct
21 Correct 1 ms 11460 KB Output is correct
22 Correct 2 ms 11460 KB Output is correct
23 Correct 2 ms 11460 KB Output is correct
24 Correct 2 ms 11460 KB Output is correct
25 Correct 2 ms 11460 KB Output is correct
26 Correct 2 ms 11460 KB Output is correct
27 Correct 2 ms 11460 KB Output is correct
28 Correct 2 ms 11460 KB Output is correct
29 Correct 2 ms 11460 KB Output is correct
30 Correct 2 ms 11460 KB Output is correct
31 Correct 2 ms 11460 KB Output is correct
32 Correct 2 ms 11460 KB Output is correct
33 Correct 2 ms 11460 KB Output is correct
34 Correct 13 ms 11744 KB Output is correct
35 Correct 33 ms 13996 KB Output is correct
36 Correct 46 ms 15724 KB Output is correct
37 Correct 118 ms 17092 KB Output is correct
38 Correct 128 ms 18900 KB Output is correct
39 Correct 33 ms 19856 KB Output is correct
40 Correct 2 ms 19856 KB Output is correct
41 Correct 30 ms 19896 KB Output is correct
42 Correct 48 ms 22256 KB Output is correct
43 Correct 9 ms 22256 KB Output is correct
44 Correct 31 ms 22712 KB Output is correct
45 Correct 36 ms 23984 KB Output is correct
46 Correct 43 ms 25980 KB Output is correct
47 Correct 14 ms 25980 KB Output is correct
48 Correct 3 ms 25980 KB Output is correct
49 Correct 102 ms 28384 KB Output is correct
50 Correct 48 ms 30792 KB Output is correct
51 Correct 68 ms 32668 KB Output is correct
52 Correct 50 ms 34944 KB Output is correct
53 Correct 47 ms 37372 KB Output is correct
54 Correct 111 ms 39468 KB Output is correct
55 Correct 47 ms 41452 KB Output is correct
56 Correct 58 ms 43760 KB Output is correct
57 Correct 43 ms 45592 KB Output is correct
58 Correct 461 ms 47968 KB Output is correct
59 Correct 477 ms 50316 KB Output is correct
60 Correct 445 ms 52228 KB Output is correct
61 Correct 474 ms 54764 KB Output is correct
62 Correct 450 ms 56820 KB Output is correct
63 Correct 492 ms 59328 KB Output is correct
64 Correct 436 ms 61324 KB Output is correct
65 Correct 1 ms 61324 KB Output is correct
66 Correct 1 ms 61324 KB Output is correct
67 Correct 522 ms 63560 KB Output is correct
68 Correct 512 ms 65760 KB Output is correct
69 Correct 442 ms 67472 KB Output is correct
70 Correct 476 ms 69828 KB Output is correct
71 Correct 481 ms 71884 KB Output is correct
72 Correct 464 ms 74152 KB Output is correct
73 Correct 456 ms 76000 KB Output is correct
74 Correct 516 ms 78304 KB Output is correct
75 Correct 493 ms 80532 KB Output is correct
76 Correct 500 ms 82856 KB Output is correct
77 Correct 129 ms 85296 KB Output is correct
78 Correct 49 ms 87188 KB Output is correct
79 Correct 79 ms 89120 KB Output is correct
80 Correct 79 ms 91496 KB Output is correct
81 Correct 72 ms 93204 KB Output is correct
82 Correct 72 ms 95756 KB Output is correct
83 Correct 53 ms 97584 KB Output is correct
84 Correct 332 ms 100048 KB Output is correct
85 Correct 551 ms 102396 KB Output is correct
86 Correct 2 ms 102396 KB Output is correct
87 Correct 2 ms 102396 KB Output is correct
88 Correct 535 ms 104812 KB Output is correct
89 Correct 104 ms 104812 KB Output is correct
90 Correct 2 ms 104812 KB Output is correct