#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;
};
struct Seg {
int l, r, m, tag, sum;
bool lz;
Seg* ch[2];
Seg (int _l, int _r, int k) : l(_l), r(_r), m(l + r >> 1), sum(0), lz(false) {
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, bool 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][2];
for (int i = 0, x1, y1, x2, y2; i < m; ++i) {
cin >> x1 >> y1 >> x2 >> y2, --x1, --y1;
block[x1][1].pb({y1, y2});
block[x2][0].pb({y1, y2});
}
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][0]) root.modify(j.l, j.r, false);
for (range &j : block[i][1]) root.modify(j.l, j.r, true);
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:28:53: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
28 | Seg (int _l, int _r, int k) : l(_l), r(_r), m(l + r >> 1), sum(0), lz(false) {
| ~~^~~
chessboard.cpp: In function 'int main()':
chessboard.cpp:40:37: warning: 'root.Seg::ch[1]' may be used uninitialized in this function [-Wmaybe-uninitialized]
40 | else sum = ch[0]->sum + ch[1]->sum;
| ~~~~^
chessboard.cpp:68:13: note: 'root.Seg::ch[1]' was declared here
68 | Seg root(0, n, k);
| ^~~~
chessboard.cpp:40:37: warning: 'root.Seg::ch[0]' may be used uninitialized in this function [-Wmaybe-uninitialized]
40 | else sum = ch[0]->sum + ch[1]->sum;
| ~~~~^
chessboard.cpp:68:13: note: 'root.Seg::ch[0]' was declared here
68 | Seg root(0, n, k);
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
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 |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
99 ms |
11784 KB |
Output is correct |
2 |
Correct |
24 ms |
2956 KB |
Output is correct |
3 |
Correct |
99 ms |
14064 KB |
Output is correct |
4 |
Correct |
40 ms |
1772 KB |
Output is correct |
5 |
Correct |
84 ms |
11244 KB |
Output is correct |
6 |
Correct |
52 ms |
9068 KB |
Output is correct |
7 |
Correct |
12 ms |
4076 KB |
Output is correct |
8 |
Correct |
54 ms |
9176 KB |
Output is correct |
9 |
Correct |
125 ms |
8428 KB |
Output is correct |
10 |
Correct |
71 ms |
8044 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
492 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
388 KB |
Output is correct |
7 |
Correct |
2 ms |
364 KB |
Output is correct |
8 |
Correct |
3 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 |
2 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
492 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
388 KB |
Output is correct |
7 |
Correct |
2 ms |
364 KB |
Output is correct |
8 |
Correct |
3 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 |
2 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
36 ms |
1540 KB |
Output is correct |
17 |
Correct |
57 ms |
3304 KB |
Output is correct |
18 |
Correct |
134 ms |
3436 KB |
Output is correct |
19 |
Correct |
624 ms |
5536 KB |
Output is correct |
20 |
Correct |
681 ms |
5352 KB |
Output is correct |
21 |
Correct |
50 ms |
3180 KB |
Output is correct |
22 |
Correct |
4 ms |
1772 KB |
Output is correct |
23 |
Correct |
90 ms |
2360 KB |
Output is correct |
24 |
Correct |
107 ms |
3308 KB |
Output is correct |
25 |
Correct |
19 ms |
1388 KB |
Output is correct |
26 |
Correct |
65 ms |
2284 KB |
Output is correct |
27 |
Correct |
188 ms |
3180 KB |
Output is correct |
28 |
Correct |
107 ms |
3180 KB |
Output is correct |
29 |
Correct |
47 ms |
1516 KB |
Output is correct |
30 |
Correct |
5 ms |
748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
99 ms |
11784 KB |
Output is correct |
2 |
Correct |
24 ms |
2956 KB |
Output is correct |
3 |
Correct |
99 ms |
14064 KB |
Output is correct |
4 |
Correct |
40 ms |
1772 KB |
Output is correct |
5 |
Correct |
84 ms |
11244 KB |
Output is correct |
6 |
Correct |
52 ms |
9068 KB |
Output is correct |
7 |
Correct |
12 ms |
4076 KB |
Output is correct |
8 |
Correct |
54 ms |
9176 KB |
Output is correct |
9 |
Correct |
125 ms |
8428 KB |
Output is correct |
10 |
Correct |
71 ms |
8044 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 |
492 KB |
Output is correct |
15 |
Correct |
2 ms |
364 KB |
Output is correct |
16 |
Correct |
2 ms |
388 KB |
Output is correct |
17 |
Correct |
2 ms |
364 KB |
Output is correct |
18 |
Correct |
3 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 |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
36 ms |
1540 KB |
Output is correct |
27 |
Correct |
57 ms |
3304 KB |
Output is correct |
28 |
Correct |
134 ms |
3436 KB |
Output is correct |
29 |
Correct |
624 ms |
5536 KB |
Output is correct |
30 |
Correct |
681 ms |
5352 KB |
Output is correct |
31 |
Correct |
50 ms |
3180 KB |
Output is correct |
32 |
Correct |
4 ms |
1772 KB |
Output is correct |
33 |
Correct |
90 ms |
2360 KB |
Output is correct |
34 |
Correct |
107 ms |
3308 KB |
Output is correct |
35 |
Correct |
19 ms |
1388 KB |
Output is correct |
36 |
Correct |
65 ms |
2284 KB |
Output is correct |
37 |
Correct |
188 ms |
3180 KB |
Output is correct |
38 |
Correct |
107 ms |
3180 KB |
Output is correct |
39 |
Correct |
47 ms |
1516 KB |
Output is correct |
40 |
Correct |
5 ms |
748 KB |
Output is correct |
41 |
Correct |
1997 ms |
224884 KB |
Output is correct |
42 |
Correct |
353 ms |
37996 KB |
Output is correct |
43 |
Correct |
1031 ms |
112576 KB |
Output is correct |
44 |
Correct |
449 ms |
37900 KB |
Output is correct |
45 |
Correct |
205 ms |
19304 KB |
Output is correct |
46 |
Execution timed out |
2066 ms |
206652 KB |
Time limit exceeded |
47 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
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 |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
99 ms |
11784 KB |
Output is correct |
10 |
Correct |
24 ms |
2956 KB |
Output is correct |
11 |
Correct |
99 ms |
14064 KB |
Output is correct |
12 |
Correct |
40 ms |
1772 KB |
Output is correct |
13 |
Correct |
84 ms |
11244 KB |
Output is correct |
14 |
Correct |
52 ms |
9068 KB |
Output is correct |
15 |
Correct |
12 ms |
4076 KB |
Output is correct |
16 |
Correct |
54 ms |
9176 KB |
Output is correct |
17 |
Correct |
125 ms |
8428 KB |
Output is correct |
18 |
Correct |
71 ms |
8044 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 |
492 KB |
Output is correct |
23 |
Correct |
2 ms |
364 KB |
Output is correct |
24 |
Correct |
2 ms |
388 KB |
Output is correct |
25 |
Correct |
2 ms |
364 KB |
Output is correct |
26 |
Correct |
3 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 |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
36 ms |
1540 KB |
Output is correct |
35 |
Correct |
57 ms |
3304 KB |
Output is correct |
36 |
Correct |
134 ms |
3436 KB |
Output is correct |
37 |
Correct |
624 ms |
5536 KB |
Output is correct |
38 |
Correct |
681 ms |
5352 KB |
Output is correct |
39 |
Correct |
50 ms |
3180 KB |
Output is correct |
40 |
Correct |
4 ms |
1772 KB |
Output is correct |
41 |
Correct |
90 ms |
2360 KB |
Output is correct |
42 |
Correct |
107 ms |
3308 KB |
Output is correct |
43 |
Correct |
19 ms |
1388 KB |
Output is correct |
44 |
Correct |
65 ms |
2284 KB |
Output is correct |
45 |
Correct |
188 ms |
3180 KB |
Output is correct |
46 |
Correct |
107 ms |
3180 KB |
Output is correct |
47 |
Correct |
47 ms |
1516 KB |
Output is correct |
48 |
Correct |
5 ms |
748 KB |
Output is correct |
49 |
Correct |
1997 ms |
224884 KB |
Output is correct |
50 |
Correct |
353 ms |
37996 KB |
Output is correct |
51 |
Correct |
1031 ms |
112576 KB |
Output is correct |
52 |
Correct |
449 ms |
37900 KB |
Output is correct |
53 |
Correct |
205 ms |
19304 KB |
Output is correct |
54 |
Execution timed out |
2066 ms |
206652 KB |
Time limit exceeded |
55 |
Halted |
0 ms |
0 KB |
- |