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Submission #505879

# Submission time Handle Problem Language Result Execution time Memory
505879 2022-01-11T09:17:26 Z Mazaalai Chessboard (IZhO18_chessboard) C++17
100 / 100
 636 ms 2800 KB 
#include <bits/stdc++.h>
#define pb push_back
using namespace std;
using ll = long long;
using PII = pair <int, int>;
const ll INF = 1e18;
const int N = 1e5 + 5;
ll n, m, ans = INF;
vector <int> divs;
ll dp[N];
void add(int num) {
	if (num == n) return;
	divs.pb(num);
	ll len = n / num;
	dp[num] = (len * len + 1) / 2 * num * num;
}
int getCnt(int pos, int len) {
	int full = pos - (pos % len);
	int ret = (full / len + 1) / 2 * len;
	if ((full / len) % 2 == 0) ret += pos - full;
	return ret;
}
signed main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	// freopen("in.txt", "r", stdin);
	// freopen("out.txt", "w", stdout);
	cin >> n >> m;
	for (int i = 1; i * i <= n; i++) {
		if (n % i != 0) continue;
		add(i);
		if (i * i != n) add(n / i);
	}
	for (int i = 0; i < m; i++) {
		int a1, b1, a2, b2; cin >> a1 >> b1 >> a2 >> b2;
		for (auto& num : divs) {
			int black, white, Black, White;
			black = getCnt(a2, num) - getCnt(a1-1, num);
			white = a2 - a1 + 1 - black;
			Black = getCnt(b2, num) - getCnt(b1-1, num);
			White = b2 - b1 + 1 - Black;
			ll cur = black - white, cur1 = -cur;
			dp[num] -= cur * Black + cur1 * White;
			// cout << a1 << ' ' << b1 << ' ' << num << " : " << cur * Black + cur1 * White << '\n';
		}
	}
	for (auto& num : divs) {
		// cout << num << ": " << dp[num] << '\n';
		ans = min(ans, min(dp[num], n * n - dp[num]));
	}
	cout << ans << '\n';
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 308 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 320 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1692 KB Output is correct
2 Correct 7 ms 656 KB Output is correct
3 Correct 14 ms 1192 KB Output is correct
4 Correct 15 ms 1096 KB Output is correct
5 Correct 19 ms 1604 KB Output is correct
6 Correct 12 ms 1056 KB Output is correct
7 Correct 3 ms 464 KB Output is correct
8 Correct 14 ms 1100 KB Output is correct
9 Correct 37 ms 2340 KB Output is correct
10 Correct 21 ms 1476 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 10 ms 696 KB Output is correct
17 Correct 26 ms 1568 KB Output is correct
18 Correct 38 ms 1900 KB Output is correct
19 Correct 129 ms 1736 KB Output is correct
20 Correct 148 ms 1828 KB Output is correct
21 Correct 24 ms 1600 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 23 ms 940 KB Output is correct
24 Correct 33 ms 1712 KB Output is correct
25 Correct 8 ms 460 KB Output is correct
26 Correct 24 ms 1184 KB Output is correct
27 Correct 34 ms 1328 KB Output is correct
28 Correct 38 ms 1824 KB Output is correct
29 Correct 10 ms 844 KB Output is correct
30 Correct 2 ms 460 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1692 KB Output is correct
2 Correct 7 ms 656 KB Output is correct
3 Correct 14 ms 1192 KB Output is correct
4 Correct 15 ms 1096 KB Output is correct
5 Correct 19 ms 1604 KB Output is correct
6 Correct 12 ms 1056 KB Output is correct
7 Correct 3 ms 464 KB Output is correct
8 Correct 14 ms 1100 KB Output is correct
9 Correct 37 ms 2340 KB Output is correct
10 Correct 21 ms 1476 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 324 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 2 ms 332 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 10 ms 696 KB Output is correct
27 Correct 26 ms 1568 KB Output is correct
28 Correct 38 ms 1900 KB Output is correct
29 Correct 129 ms 1736 KB Output is correct
30 Correct 148 ms 1828 KB Output is correct
31 Correct 24 ms 1600 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 23 ms 940 KB Output is correct
34 Correct 33 ms 1712 KB Output is correct
35 Correct 8 ms 460 KB Output is correct
36 Correct 24 ms 1184 KB Output is correct
37 Correct 34 ms 1328 KB Output is correct
38 Correct 38 ms 1824 KB Output is correct
39 Correct 10 ms 844 KB Output is correct
40 Correct 2 ms 460 KB Output is correct
41 Correct 111 ms 2244 KB Output is correct
42 Correct 44 ms 2472 KB Output is correct
43 Correct 72 ms 2224 KB Output is correct
44 Correct 42 ms 2376 KB Output is correct
45 Correct 33 ms 2596 KB Output is correct
46 Correct 129 ms 2496 KB Output is correct
47 Correct 29 ms 2236 KB Output is correct
48 Correct 67 ms 2348 KB Output is correct
49 Correct 42 ms 2212 KB Output is correct
50 Correct 555 ms 2676 KB Output is correct
51 Correct 617 ms 2696 KB Output is correct
52 Correct 583 ms 2424 KB Output is correct
53 Correct 587 ms 2676 KB Output is correct
54 Correct 552 ms 2416 KB Output is correct
55 Correct 636 ms 2676 KB Output is correct
56 Correct 530 ms 2424 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 308 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 320 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 23 ms 1692 KB Output is correct
10 Correct 7 ms 656 KB Output is correct
11 Correct 14 ms 1192 KB Output is correct
12 Correct 15 ms 1096 KB Output is correct
13 Correct 19 ms 1604 KB Output is correct
14 Correct 12 ms 1056 KB Output is correct
15 Correct 3 ms 464 KB Output is correct
16 Correct 14 ms 1100 KB Output is correct
17 Correct 37 ms 2340 KB Output is correct
18 Correct 21 ms 1476 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 10 ms 696 KB Output is correct
35 Correct 26 ms 1568 KB Output is correct
36 Correct 38 ms 1900 KB Output is correct
37 Correct 129 ms 1736 KB Output is correct
38 Correct 148 ms 1828 KB Output is correct
39 Correct 24 ms 1600 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 23 ms 940 KB Output is correct
42 Correct 33 ms 1712 KB Output is correct
43 Correct 8 ms 460 KB Output is correct
44 Correct 24 ms 1184 KB Output is correct
45 Correct 34 ms 1328 KB Output is correct
46 Correct 38 ms 1824 KB Output is correct
47 Correct 10 ms 844 KB Output is correct
48 Correct 2 ms 460 KB Output is correct
49 Correct 111 ms 2244 KB Output is correct
50 Correct 44 ms 2472 KB Output is correct
51 Correct 72 ms 2224 KB Output is correct
52 Correct 42 ms 2376 KB Output is correct
53 Correct 33 ms 2596 KB Output is correct
54 Correct 129 ms 2496 KB Output is correct
55 Correct 29 ms 2236 KB Output is correct
56 Correct 67 ms 2348 KB Output is correct
57 Correct 42 ms 2212 KB Output is correct
58 Correct 555 ms 2676 KB Output is correct
59 Correct 617 ms 2696 KB Output is correct
60 Correct 583 ms 2424 KB Output is correct
61 Correct 587 ms 2676 KB Output is correct
62 Correct 552 ms 2416 KB Output is correct
63 Correct 636 ms 2676 KB Output is correct
64 Correct 530 ms 2424 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 599 ms 2552 KB Output is correct
68 Correct 584 ms 2548 KB Output is correct
69 Correct 513 ms 2304 KB Output is correct
70 Correct 594 ms 2644 KB Output is correct
71 Correct 577 ms 2416 KB Output is correct
72 Correct 554 ms 2420 KB Output is correct
73 Correct 546 ms 2416 KB Output is correct
74 Correct 568 ms 2548 KB Output is correct
75 Correct 549 ms 2420 KB Output is correct
76 Correct 592 ms 2544 KB Output is correct
77 Correct 104 ms 2616 KB Output is correct
78 Correct 41 ms 2340 KB Output is correct
79 Correct 71 ms 2228 KB Output is correct
80 Correct 76 ms 2356 KB Output is correct
81 Correct 80 ms 2228 KB Output is correct
82 Correct 59 ms 2480 KB Output is correct
83 Correct 45 ms 2340 KB Output is correct
84 Correct 364 ms 2760 KB Output is correct
85 Correct 609 ms 2800 KB Output is correct
86 Correct 1 ms 324 KB Output is correct
87 Correct 0 ms 332 KB Output is correct
88 Correct 622 ms 2676 KB Output is correct
89 Correct 123 ms 836 KB Output is correct
90 Correct 1 ms 448 KB Output is correct