oj.uz

Submission #378601

# Submission time Handle Problem Language Result Execution time Memory
378601 2021-03-17T02:09:30 Z 8e7 Chessboard (IZhO18_chessboard) C++14
100 / 100
 810 ms 4708 KB 
//Challenge: Accepted
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#define ll long long
#define maxn 100005
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
using namespace std;
struct rect{
	ll x1, y1, x2, y2;
	rect() {
		x1 = 0, y1 = 0, x2 = 0, y2 = 0;
	}
	rect(int a, int b, int c, int d) {
		x1 = a, y1 = b, x2 = c, y2 = d;
	}
};
vector<rect> v;

inline ll wnum(ll x, ll y, ll len) {
	if (x < 0 || y < 0) return 0;
	ll ret = 0;
	ll cx = x / len, cy = y / len;
	ll lx = x % len, ly = y % len;
	if (cx % 2 == 0 || cy % 2 == 0) {
		ret += len * len * (cx * cy / 2);
	} else {
		ret += len * len * ((cx * cy + 1) / 2);
	}

	if (cy % 2 == 0) { //white
		ret += ly * ((cx + 1) / 2) * len;
	} else {
		ret += ly * (cx / 2) * len;
	}
	if (cx % 2 == 0) {
		ret += lx * ((cy + 1) / 2) * len;
	} else {
		ret += lx * (cy / 2) * len;
	}
	if (((cx + cy) % 2) == 0) ret += lx * ly;
	//cout << x << " " << y << " " << len << " " << ret << endl;
	return ret;
}
ll solve(ll n, ll len) {
	ll val = n * n - wnum(n, n, len);
	//cout << len << endl;
	for (rect a:v) {
		ll wn = wnum(a.x2+1, a.y2+1, len) - wnum(a.x1, a.y2+1, len) - wnum(a.x2+1, a.y1, len) + wnum(a.x1, a.y1, len);
		//cout << a.x1 << " " << a.y1 << " " << wn << endl;
		val += 2 * wn - (a.x2 - a.x1 + 1) * (a.y2 - a.y1 + 1);
	}
	val = min(val, n * n - val);
	//cout << len << " " << val << endl;
	return val;
}
int main() {
	io
	ll n, k;
	cin >> n >> k;
	for (int i = 0;i < k;i++) {
		ll x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2;
		x1--, y1--, x2--, y2--;
		v.push_back(rect(x1, y1, x2, y2));
	}
	ll ans = 1LL<<60;
	for (ll i = 1;i * i <= n;i++) {
		if (n % i == 0) {
			ans = min(ans, solve(n, i));
			if (i * i != n && i != 1) {
				ans = min(ans, solve(n, n / i));
			}
		}
	}
	cout << ans << endl;
}
/*
2 0

6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6

4 1
4 1 4 4
 */

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 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 29 ms 2536 KB Output is correct
2 Correct 8 ms 1516 KB Output is correct
3 Correct 18 ms 2536 KB Output is correct
4 Correct 21 ms 2536 KB Output is correct
5 Correct 25 ms 2536 KB Output is correct
6 Correct 17 ms 2536 KB Output is correct
7 Correct 4 ms 752 KB Output is correct
8 Correct 17 ms 2536 KB Output is correct
9 Correct 43 ms 4580 KB Output is correct
10 Correct 23 ms 2536 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 1516 KB Output is correct
17 Correct 37 ms 4600 KB Output is correct
18 Correct 51 ms 4580 KB Output is correct
19 Correct 161 ms 4580 KB Output is correct
20 Correct 182 ms 4580 KB Output is correct
21 Correct 32 ms 4580 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 33 ms 2536 KB Output is correct
24 Correct 46 ms 4580 KB Output is correct
25 Correct 7 ms 1008 KB Output is correct
26 Correct 28 ms 2536 KB Output is correct
27 Correct 43 ms 4580 KB Output is correct
28 Correct 49 ms 4580 KB Output is correct
29 Correct 14 ms 2536 KB Output is correct
30 Correct 2 ms 492 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 2536 KB Output is correct
2 Correct 8 ms 1516 KB Output is correct
3 Correct 18 ms 2536 KB Output is correct
4 Correct 21 ms 2536 KB Output is correct
5 Correct 25 ms 2536 KB Output is correct
6 Correct 17 ms 2536 KB Output is correct
7 Correct 4 ms 752 KB Output is correct
8 Correct 17 ms 2536 KB Output is correct
9 Correct 43 ms 4580 KB Output is correct
10 Correct 23 ms 2536 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 1516 KB Output is correct
27 Correct 37 ms 4600 KB Output is correct
28 Correct 51 ms 4580 KB Output is correct
29 Correct 161 ms 4580 KB Output is correct
30 Correct 182 ms 4580 KB Output is correct
31 Correct 32 ms 4580 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 33 ms 2536 KB Output is correct
34 Correct 46 ms 4580 KB Output is correct
35 Correct 7 ms 1008 KB Output is correct
36 Correct 28 ms 2536 KB Output is correct
37 Correct 43 ms 4580 KB Output is correct
38 Correct 49 ms 4580 KB Output is correct
39 Correct 14 ms 2536 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 147 ms 4580 KB Output is correct
42 Correct 54 ms 4580 KB Output is correct
43 Correct 88 ms 4580 KB Output is correct
44 Correct 54 ms 4580 KB Output is correct
45 Correct 45 ms 4580 KB Output is correct
46 Correct 164 ms 4580 KB Output is correct
47 Correct 40 ms 4580 KB Output is correct
48 Correct 71 ms 4580 KB Output is correct
49 Correct 65 ms 4580 KB Output is correct
50 Correct 748 ms 4580 KB Output is correct
51 Correct 760 ms 4580 KB Output is correct
52 Correct 719 ms 4580 KB Output is correct
53 Correct 794 ms 4580 KB Output is correct
54 Correct 710 ms 4580 KB Output is correct
55 Correct 810 ms 4580 KB Output is correct
56 Correct 686 ms 4580 KB Output is correct

Subtask #6
30.0 / 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 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 29 ms 2536 KB Output is correct
10 Correct 8 ms 1516 KB Output is correct
11 Correct 18 ms 2536 KB Output is correct
12 Correct 21 ms 2536 KB Output is correct
13 Correct 25 ms 2536 KB Output is correct
14 Correct 17 ms 2536 KB Output is correct
15 Correct 4 ms 752 KB Output is correct
16 Correct 17 ms 2536 KB Output is correct
17 Correct 43 ms 4580 KB Output is correct
18 Correct 23 ms 2536 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 1516 KB Output is correct
35 Correct 37 ms 4600 KB Output is correct
36 Correct 51 ms 4580 KB Output is correct
37 Correct 161 ms 4580 KB Output is correct
38 Correct 182 ms 4580 KB Output is correct
39 Correct 32 ms 4580 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 33 ms 2536 KB Output is correct
42 Correct 46 ms 4580 KB Output is correct
43 Correct 7 ms 1008 KB Output is correct
44 Correct 28 ms 2536 KB Output is correct
45 Correct 43 ms 4580 KB Output is correct
46 Correct 49 ms 4580 KB Output is correct
47 Correct 14 ms 2536 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 147 ms 4580 KB Output is correct
50 Correct 54 ms 4580 KB Output is correct
51 Correct 88 ms 4580 KB Output is correct
52 Correct 54 ms 4580 KB Output is correct
53 Correct 45 ms 4580 KB Output is correct
54 Correct 164 ms 4580 KB Output is correct
55 Correct 40 ms 4580 KB Output is correct
56 Correct 71 ms 4580 KB Output is correct
57 Correct 65 ms 4580 KB Output is correct
58 Correct 748 ms 4580 KB Output is correct
59 Correct 760 ms 4580 KB Output is correct
60 Correct 719 ms 4580 KB Output is correct
61 Correct 794 ms 4580 KB Output is correct
62 Correct 710 ms 4580 KB Output is correct
63 Correct 810 ms 4580 KB Output is correct
64 Correct 686 ms 4580 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 750 ms 4580 KB Output is correct
68 Correct 743 ms 4580 KB Output is correct
69 Correct 676 ms 4580 KB Output is correct
70 Correct 735 ms 4580 KB Output is correct
71 Correct 716 ms 4580 KB Output is correct
72 Correct 714 ms 4580 KB Output is correct
73 Correct 691 ms 4580 KB Output is correct
74 Correct 743 ms 4580 KB Output is correct
75 Correct 734 ms 4580 KB Output is correct
76 Correct 767 ms 4580 KB Output is correct
77 Correct 128 ms 4580 KB Output is correct
78 Correct 53 ms 4580 KB Output is correct
79 Correct 91 ms 4580 KB Output is correct
80 Correct 95 ms 4580 KB Output is correct
81 Correct 88 ms 4580 KB Output is correct
82 Correct 79 ms 4580 KB Output is correct
83 Correct 63 ms 4580 KB Output is correct
84 Correct 453 ms 4708 KB Output is correct
85 Correct 792 ms 4580 KB Output is correct
86 Correct 1 ms 364 KB Output is correct
87 Correct 1 ms 364 KB Output is correct
88 Correct 801 ms 4640 KB Output is correct
89 Correct 151 ms 1516 KB Output is correct
90 Correct 1 ms 364 KB Output is correct