#include <bits/stdc++.h>
using namespace std;
#define lli long long int
#define pii pair<int, int>
#define pll pair<lli, lli>
#define X first
#define Y second
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define test(x) cout << #x << ' ' << x << endl
#define printv(x) {\
for (auto a : x) cout << x << ' ';\
cout << endl;\
}
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
const int N = 2000000;
struct range {
int l, r, v;
};
struct Seg {
int l, r, m, tag, sum, lz;
Seg* ch[2];
Seg (int _l, int _r, int k) : l(_l), r(_r), m(l + r >> 1), sum(0), lz(0) {
if (r - l > 1) {
ch[0] = new Seg(l, m, k);
ch[1] = new Seg(m, r, k);
tag = ch[0]->tag + ch[1]->tag;
} else {
tag = (l / k) & 1 ? -1 : 1;
}
}
void pull() {
if (lz) sum = tag;
else if (r - l == 1) sum = 0;
else sum = ch[0]->sum + ch[1]->sum;
}
void modify(int a, int b, int v) {
if (a <= l && r <= b) lz += v;
else {
if (a < m) ch[0]->modify(a, b, v);
if (m < b) ch[1]->modify(a, b, v);
}
pull();
}
};
int main () {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vector <int> p;
for (int i = 1; i < n; ++i) if (n % i == 0) p.pb(i);
vector <range> block[n + 1];
for (int i = 0, x1, y1, x2, y2; i < m; ++i) {
cin >> x1 >> y1 >> x2 >> y2, --x1, --y1;
block[x1].pb({y1, y2, 1});
block[x2].pb({y1, y2, -1});
}
lli ans = 1ll * n * n;
for (int k : p) {
lli cur = 1ll * k * k * (1ll * (n / k) * (n / k) / 2);
Seg root(0, n, k);
for (int i = 0; i <= n; ++i) {
for (range &j : block[i]) {
root.modify(j.l, j.r, j.v);
}
if ((i / k) & 1) {
cur -= root.sum;
} else {
cur += root.sum;
}
}
ans = min({ans, cur, 1ll * n * n - cur});
}
cout << ans << endl;
}
/*
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: In constructor 'Seg::Seg(int, int, int)':
chessboard.cpp:27:53: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
27 | Seg (int _l, int _r, int k) : l(_l), r(_r), m(l + r >> 1), sum(0), lz(0) {
| ~~^~~
chessboard.cpp: In function 'int main()':
chessboard.cpp:39:37: warning: 'root.Seg::ch[1]' may be used uninitialized in this function [-Wmaybe-uninitialized]
39 | else sum = ch[0]->sum + ch[1]->sum;
| ~~~~^
chessboard.cpp:67:13: note: 'root.Seg::ch[1]' was declared here
67 | Seg root(0, n, k);
| ^~~~
chessboard.cpp:39:37: warning: 'root.Seg::ch[0]' may be used uninitialized in this function [-Wmaybe-uninitialized]
39 | else sum = ch[0]->sum + ch[1]->sum;
| ~~~~^
chessboard.cpp:67:13: note: 'root.Seg::ch[0]' was declared here
67 | Seg root(0, n, k);
| ^~~~
# |
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 |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
86 ms |
10220 KB |
Output is correct |
2 |
Correct |
17 ms |
2540 KB |
Output is correct |
3 |
Correct |
65 ms |
11884 KB |
Output is correct |
4 |
Correct |
35 ms |
2284 KB |
Output is correct |
5 |
Correct |
73 ms |
9196 KB |
Output is correct |
6 |
Correct |
45 ms |
7404 KB |
Output is correct |
7 |
Correct |
12 ms |
3308 KB |
Output is correct |
8 |
Correct |
50 ms |
7660 KB |
Output is correct |
9 |
Correct |
128 ms |
7276 KB |
Output is correct |
10 |
Correct |
64 ms |
6892 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 |
2 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 |
2 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 |
2 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 |
2 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 |
31 ms |
1516 KB |
Output is correct |
17 |
Correct |
54 ms |
3692 KB |
Output is correct |
18 |
Correct |
113 ms |
3780 KB |
Output is correct |
19 |
Correct |
619 ms |
5752 KB |
Output is correct |
20 |
Correct |
692 ms |
6076 KB |
Output is correct |
21 |
Correct |
50 ms |
3692 KB |
Output is correct |
22 |
Correct |
4 ms |
1772 KB |
Output is correct |
23 |
Correct |
90 ms |
2540 KB |
Output is correct |
24 |
Correct |
103 ms |
3692 KB |
Output is correct |
25 |
Correct |
19 ms |
1260 KB |
Output is correct |
26 |
Correct |
63 ms |
2284 KB |
Output is correct |
27 |
Correct |
111 ms |
3564 KB |
Output is correct |
28 |
Correct |
106 ms |
3564 KB |
Output is correct |
29 |
Correct |
22 ms |
1772 KB |
Output is correct |
30 |
Correct |
4 ms |
748 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
86 ms |
10220 KB |
Output is correct |
2 |
Correct |
17 ms |
2540 KB |
Output is correct |
3 |
Correct |
65 ms |
11884 KB |
Output is correct |
4 |
Correct |
35 ms |
2284 KB |
Output is correct |
5 |
Correct |
73 ms |
9196 KB |
Output is correct |
6 |
Correct |
45 ms |
7404 KB |
Output is correct |
7 |
Correct |
12 ms |
3308 KB |
Output is correct |
8 |
Correct |
50 ms |
7660 KB |
Output is correct |
9 |
Correct |
128 ms |
7276 KB |
Output is correct |
10 |
Correct |
64 ms |
6892 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 |
2 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 |
2 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 |
31 ms |
1516 KB |
Output is correct |
27 |
Correct |
54 ms |
3692 KB |
Output is correct |
28 |
Correct |
113 ms |
3780 KB |
Output is correct |
29 |
Correct |
619 ms |
5752 KB |
Output is correct |
30 |
Correct |
692 ms |
6076 KB |
Output is correct |
31 |
Correct |
50 ms |
3692 KB |
Output is correct |
32 |
Correct |
4 ms |
1772 KB |
Output is correct |
33 |
Correct |
90 ms |
2540 KB |
Output is correct |
34 |
Correct |
103 ms |
3692 KB |
Output is correct |
35 |
Correct |
19 ms |
1260 KB |
Output is correct |
36 |
Correct |
63 ms |
2284 KB |
Output is correct |
37 |
Correct |
111 ms |
3564 KB |
Output is correct |
38 |
Correct |
106 ms |
3564 KB |
Output is correct |
39 |
Correct |
22 ms |
1772 KB |
Output is correct |
40 |
Correct |
4 ms |
748 KB |
Output is correct |
41 |
Correct |
1856 ms |
221600 KB |
Output is correct |
42 |
Correct |
332 ms |
34672 KB |
Output is correct |
43 |
Correct |
916 ms |
109292 KB |
Output is correct |
44 |
Correct |
303 ms |
34540 KB |
Output is correct |
45 |
Correct |
149 ms |
15980 KB |
Output is correct |
46 |
Correct |
1999 ms |
222328 KB |
Output is correct |
47 |
Correct |
132 ms |
15596 KB |
Output is correct |
48 |
Correct |
634 ms |
71916 KB |
Output is correct |
49 |
Correct |
282 ms |
34284 KB |
Output is correct |
50 |
Execution timed out |
2108 ms |
224832 KB |
Time limit exceeded |
51 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
86 ms |
10220 KB |
Output is correct |
10 |
Correct |
17 ms |
2540 KB |
Output is correct |
11 |
Correct |
65 ms |
11884 KB |
Output is correct |
12 |
Correct |
35 ms |
2284 KB |
Output is correct |
13 |
Correct |
73 ms |
9196 KB |
Output is correct |
14 |
Correct |
45 ms |
7404 KB |
Output is correct |
15 |
Correct |
12 ms |
3308 KB |
Output is correct |
16 |
Correct |
50 ms |
7660 KB |
Output is correct |
17 |
Correct |
128 ms |
7276 KB |
Output is correct |
18 |
Correct |
64 ms |
6892 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 |
2 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 |
2 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 |
31 ms |
1516 KB |
Output is correct |
35 |
Correct |
54 ms |
3692 KB |
Output is correct |
36 |
Correct |
113 ms |
3780 KB |
Output is correct |
37 |
Correct |
619 ms |
5752 KB |
Output is correct |
38 |
Correct |
692 ms |
6076 KB |
Output is correct |
39 |
Correct |
50 ms |
3692 KB |
Output is correct |
40 |
Correct |
4 ms |
1772 KB |
Output is correct |
41 |
Correct |
90 ms |
2540 KB |
Output is correct |
42 |
Correct |
103 ms |
3692 KB |
Output is correct |
43 |
Correct |
19 ms |
1260 KB |
Output is correct |
44 |
Correct |
63 ms |
2284 KB |
Output is correct |
45 |
Correct |
111 ms |
3564 KB |
Output is correct |
46 |
Correct |
106 ms |
3564 KB |
Output is correct |
47 |
Correct |
22 ms |
1772 KB |
Output is correct |
48 |
Correct |
4 ms |
748 KB |
Output is correct |
49 |
Correct |
1856 ms |
221600 KB |
Output is correct |
50 |
Correct |
332 ms |
34672 KB |
Output is correct |
51 |
Correct |
916 ms |
109292 KB |
Output is correct |
52 |
Correct |
303 ms |
34540 KB |
Output is correct |
53 |
Correct |
149 ms |
15980 KB |
Output is correct |
54 |
Correct |
1999 ms |
222328 KB |
Output is correct |
55 |
Correct |
132 ms |
15596 KB |
Output is correct |
56 |
Correct |
634 ms |
71916 KB |
Output is correct |
57 |
Correct |
282 ms |
34284 KB |
Output is correct |
58 |
Execution timed out |
2108 ms |
224832 KB |
Time limit exceeded |
59 |
Halted |
0 ms |
0 KB |
- |