#include <iostream>
#include <algorithm>
#include <vector>
#include <cmath>
#include <set>
#include <map>
#include <iomanip>
#include <cassert>
#include <stack>
#include <queue>
#include <deque>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>-
using namespace std;
//using namespace __gnu_pbds;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
// template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// order_of_key (k) : Number of items strictly smaller than k .
// find_by_order(k) : K-th element in a set (counting from zero).
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define pb push_back
#define ppb pop_back
#define mkp make_pair
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define show(a) cerr << #a <<" -> "<< a <<" "
#define nl cerr <<"\n"
#define int ll
const int N = 2e5 + 5;
const int oo = 1e18 + 5;
int line(int len, int sz) {
return (len / (sz * 2)) * sz + min(len % (sz * 2), sz);
}
int calc(int n, int m, int sz) {
if (n < 0 || m < 0) { return 0; }
int ln = n - line(n, sz), lm = m - line(m, sz);
return line(n, sz) * line(m, sz) + ln * lm;
}
int n, k, ans = oo, x[N], y[N], x2[N], y2[N];
vector <int> vec;
void solve() {
cin >> n >> k;
for (int i = 1; i <= k; ++i) {
cin >> x[i] >> y[i] >> x2[i] >> y2[i];
}
for (int sz = 1; sz < n; ++sz) {
if (n % sz == 0) { vec.pb(sz); }
}
for (int sz : vec) {
int res1 = calc(n, n, sz), res2 = (n * n) - res1;
for (int i = 1; i <= k; ++i) {
int b = calc(x2[i], y2[i], sz) - calc(x[i]-1, y2[i], sz) - calc(x2[i], y[i]-1, sz) + calc(x[i]-1, y[i]-1, sz);
int w = (x2[i] - x[i] + 1) * (y2[i] - y[i] + 1) - b;
res1 = res1 - b + w;
res2 = res2 - w + b;
}
ans = min({ans, res1, res2});
}
cout << ans;
}
main () {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tests = 1;
//cin >> tests;
while (tests --) {
solve();
}
return 0;
}
/*
Just Chalish!
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
*/
Compilation message
chessboard.cpp:75:8: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
75 | main () {
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 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 |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
0 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
2284 KB |
Output is correct |
2 |
Correct |
9 ms |
1260 KB |
Output is correct |
3 |
Correct |
18 ms |
2540 KB |
Output is correct |
4 |
Correct |
19 ms |
2668 KB |
Output is correct |
5 |
Correct |
24 ms |
3308 KB |
Output is correct |
6 |
Correct |
16 ms |
2284 KB |
Output is correct |
7 |
Correct |
4 ms |
748 KB |
Output is correct |
8 |
Correct |
16 ms |
2284 KB |
Output is correct |
9 |
Correct |
40 ms |
5228 KB |
Output is correct |
10 |
Correct |
24 ms |
3052 KB |
Output is correct |
# |
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 |
372 KB |
Output is correct |
11 |
Correct |
1 ms |
384 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 |
# |
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 |
372 KB |
Output is correct |
11 |
Correct |
1 ms |
384 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 |
1644 KB |
Output is correct |
17 |
Correct |
33 ms |
4336 KB |
Output is correct |
18 |
Correct |
46 ms |
5100 KB |
Output is correct |
19 |
Correct |
138 ms |
4588 KB |
Output is correct |
20 |
Correct |
154 ms |
5100 KB |
Output is correct |
21 |
Correct |
30 ms |
4332 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
28 ms |
2412 KB |
Output is correct |
24 |
Correct |
42 ms |
4716 KB |
Output is correct |
25 |
Correct |
6 ms |
876 KB |
Output is correct |
26 |
Correct |
26 ms |
3028 KB |
Output is correct |
27 |
Correct |
37 ms |
3564 KB |
Output is correct |
28 |
Correct |
44 ms |
4844 KB |
Output is correct |
29 |
Correct |
13 ms |
1920 KB |
Output is correct |
30 |
Correct |
2 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
2284 KB |
Output is correct |
2 |
Correct |
9 ms |
1260 KB |
Output is correct |
3 |
Correct |
18 ms |
2540 KB |
Output is correct |
4 |
Correct |
19 ms |
2668 KB |
Output is correct |
5 |
Correct |
24 ms |
3308 KB |
Output is correct |
6 |
Correct |
16 ms |
2284 KB |
Output is correct |
7 |
Correct |
4 ms |
748 KB |
Output is correct |
8 |
Correct |
16 ms |
2284 KB |
Output is correct |
9 |
Correct |
40 ms |
5228 KB |
Output is correct |
10 |
Correct |
24 ms |
3052 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 |
372 KB |
Output is correct |
21 |
Correct |
1 ms |
384 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 |
1644 KB |
Output is correct |
27 |
Correct |
33 ms |
4336 KB |
Output is correct |
28 |
Correct |
46 ms |
5100 KB |
Output is correct |
29 |
Correct |
138 ms |
4588 KB |
Output is correct |
30 |
Correct |
154 ms |
5100 KB |
Output is correct |
31 |
Correct |
30 ms |
4332 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
28 ms |
2412 KB |
Output is correct |
34 |
Correct |
42 ms |
4716 KB |
Output is correct |
35 |
Correct |
6 ms |
876 KB |
Output is correct |
36 |
Correct |
26 ms |
3028 KB |
Output is correct |
37 |
Correct |
37 ms |
3564 KB |
Output is correct |
38 |
Correct |
44 ms |
4844 KB |
Output is correct |
39 |
Correct |
13 ms |
1920 KB |
Output is correct |
40 |
Correct |
2 ms |
492 KB |
Output is correct |
41 |
Correct |
129 ms |
4972 KB |
Output is correct |
42 |
Correct |
52 ms |
5612 KB |
Output is correct |
43 |
Correct |
79 ms |
5100 KB |
Output is correct |
44 |
Correct |
49 ms |
5356 KB |
Output is correct |
45 |
Correct |
42 ms |
5740 KB |
Output is correct |
46 |
Correct |
147 ms |
5504 KB |
Output is correct |
47 |
Correct |
38 ms |
5100 KB |
Output is correct |
48 |
Correct |
65 ms |
5356 KB |
Output is correct |
49 |
Correct |
46 ms |
4988 KB |
Output is correct |
50 |
Correct |
620 ms |
5504 KB |
Output is correct |
51 |
Correct |
665 ms |
5764 KB |
Output is correct |
52 |
Correct |
617 ms |
5484 KB |
Output is correct |
53 |
Correct |
660 ms |
5728 KB |
Output is correct |
54 |
Correct |
609 ms |
5356 KB |
Output is correct |
55 |
Correct |
687 ms |
5996 KB |
Output is correct |
56 |
Correct |
593 ms |
5228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 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 |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
0 ms |
364 KB |
Output is correct |
9 |
Correct |
30 ms |
2284 KB |
Output is correct |
10 |
Correct |
9 ms |
1260 KB |
Output is correct |
11 |
Correct |
18 ms |
2540 KB |
Output is correct |
12 |
Correct |
19 ms |
2668 KB |
Output is correct |
13 |
Correct |
24 ms |
3308 KB |
Output is correct |
14 |
Correct |
16 ms |
2284 KB |
Output is correct |
15 |
Correct |
4 ms |
748 KB |
Output is correct |
16 |
Correct |
16 ms |
2284 KB |
Output is correct |
17 |
Correct |
40 ms |
5228 KB |
Output is correct |
18 |
Correct |
24 ms |
3052 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 |
372 KB |
Output is correct |
29 |
Correct |
1 ms |
384 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 |
1644 KB |
Output is correct |
35 |
Correct |
33 ms |
4336 KB |
Output is correct |
36 |
Correct |
46 ms |
5100 KB |
Output is correct |
37 |
Correct |
138 ms |
4588 KB |
Output is correct |
38 |
Correct |
154 ms |
5100 KB |
Output is correct |
39 |
Correct |
30 ms |
4332 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
28 ms |
2412 KB |
Output is correct |
42 |
Correct |
42 ms |
4716 KB |
Output is correct |
43 |
Correct |
6 ms |
876 KB |
Output is correct |
44 |
Correct |
26 ms |
3028 KB |
Output is correct |
45 |
Correct |
37 ms |
3564 KB |
Output is correct |
46 |
Correct |
44 ms |
4844 KB |
Output is correct |
47 |
Correct |
13 ms |
1920 KB |
Output is correct |
48 |
Correct |
2 ms |
492 KB |
Output is correct |
49 |
Correct |
129 ms |
4972 KB |
Output is correct |
50 |
Correct |
52 ms |
5612 KB |
Output is correct |
51 |
Correct |
79 ms |
5100 KB |
Output is correct |
52 |
Correct |
49 ms |
5356 KB |
Output is correct |
53 |
Correct |
42 ms |
5740 KB |
Output is correct |
54 |
Correct |
147 ms |
5504 KB |
Output is correct |
55 |
Correct |
38 ms |
5100 KB |
Output is correct |
56 |
Correct |
65 ms |
5356 KB |
Output is correct |
57 |
Correct |
46 ms |
4988 KB |
Output is correct |
58 |
Correct |
620 ms |
5504 KB |
Output is correct |
59 |
Correct |
665 ms |
5764 KB |
Output is correct |
60 |
Correct |
617 ms |
5484 KB |
Output is correct |
61 |
Correct |
660 ms |
5728 KB |
Output is correct |
62 |
Correct |
609 ms |
5356 KB |
Output is correct |
63 |
Correct |
687 ms |
5996 KB |
Output is correct |
64 |
Correct |
593 ms |
5228 KB |
Output is correct |
65 |
Correct |
1 ms |
364 KB |
Output is correct |
66 |
Correct |
1 ms |
364 KB |
Output is correct |
67 |
Correct |
640 ms |
5584 KB |
Output is correct |
68 |
Correct |
638 ms |
5560 KB |
Output is correct |
69 |
Correct |
560 ms |
4992 KB |
Output is correct |
70 |
Correct |
632 ms |
5484 KB |
Output is correct |
71 |
Correct |
620 ms |
5356 KB |
Output is correct |
72 |
Correct |
607 ms |
5356 KB |
Output is correct |
73 |
Correct |
586 ms |
5228 KB |
Output is correct |
74 |
Correct |
645 ms |
5484 KB |
Output is correct |
75 |
Correct |
620 ms |
5356 KB |
Output is correct |
76 |
Correct |
654 ms |
5620 KB |
Output is correct |
77 |
Correct |
115 ms |
5888 KB |
Output is correct |
78 |
Correct |
49 ms |
5228 KB |
Output is correct |
79 |
Correct |
81 ms |
4972 KB |
Output is correct |
80 |
Correct |
85 ms |
5228 KB |
Output is correct |
81 |
Correct |
78 ms |
4844 KB |
Output is correct |
82 |
Correct |
71 ms |
5484 KB |
Output is correct |
83 |
Correct |
55 ms |
5100 KB |
Output is correct |
84 |
Correct |
387 ms |
5748 KB |
Output is correct |
85 |
Correct |
672 ms |
5740 KB |
Output is correct |
86 |
Correct |
1 ms |
364 KB |
Output is correct |
87 |
Correct |
1 ms |
364 KB |
Output is correct |
88 |
Correct |
686 ms |
5928 KB |
Output is correct |
89 |
Correct |
129 ms |
1388 KB |
Output is correct |
90 |
Correct |
1 ms |
364 KB |
Output is correct |