#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e5 + 1;
#define int long long
int odd[N][129],even[N][129],it = 0;
ll col_eq(int k,int x,int y,int x1,int y1){
ll ret = (odd[x1][k] - odd[x - 1][k]) * (odd[y1][k] - odd[y - 1][k]);
ret += (even[x1][k] - even[x - 1][k]) *1ll* (even[y1][k] - even[y - 1][k]);
return ret;
}
ll col_non_eq(int k,int x,int y,int x1,int y1){
ll ret = (odd[x1][k] - odd[x - 1][k]) * (even[y1][k] - even[y - 1][k]);
ret += (even[x1][k] - even[x - 1][k]) *1ll* (odd[y1][k] - odd[y - 1][k]);
assert(ret == (x1 - x + 1) * (y1 - y + 1) - col_eq(k,x,y,x1,y1));
return ret;
}
vector<pair<pair<int,int>,pair<int,int>>> a;
ll n,k;
int get(ll del,ll i){
ll res1 = 0,res2 = 0;
for(auto [x,y]:a){
res1 += col_eq(i,x.first,x.second,y.first,y.second);
res2 += col_non_eq(i,x.first,x.second,y.first,y.second);
}
res1 = ((n * n / del / del)) / 2 * (del * del) - res2 + res1;
return min(res1,n * n - res1);
}
void test(){
cin >> n >> k;
for(int i = 1;i <= k;i++){
int x,y,x1,y1;
cin >> x >> y >> x1 >> y1;
a.push_back({{x,y},{x1,y1}});
}
ll res = 1e10;
for(int i = 1;i < n;i++){
if(n % i == 0){
for(int j = 1;j <= n;j++){
int x = (i + j - 1) / i;
odd[j][it] = odd[j - 1][it];
even[j][it] = even[j - 1][it];
if(x & 1){
odd[j][it]++;
}else{
even[j][it]++;
}
}
it++;
}
}
it = 0;
for(int i = 1;i < n;i++){
if(n % i == 0){
res = min(res,1ll*get(i,it));
it++;
}
}
cout << res << endl;
}
main(){
ios_base::sync_with_stdio(0);cin.tie(0);
test();
}
Compilation message
chessboard.cpp:62:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
62 | main(){
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
604 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
0 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
69 ms |
131296 KB |
Output is correct |
2 |
Correct |
9 ms |
29912 KB |
Output is correct |
3 |
Correct |
46 ms |
172996 KB |
Output is correct |
4 |
Correct |
13 ms |
10964 KB |
Output is correct |
5 |
Correct |
32 ms |
118384 KB |
Output is correct |
6 |
Correct |
24 ms |
100812 KB |
Output is correct |
7 |
Correct |
9 ms |
48092 KB |
Output is correct |
8 |
Correct |
25 ms |
104916 KB |
Output is correct |
9 |
Correct |
35 ms |
68956 KB |
Output is correct |
10 |
Correct |
28 ms |
81304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
856 KB |
Output is correct |
2 |
Correct |
0 ms |
600 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
0 ms |
604 KB |
Output is correct |
10 |
Correct |
0 ms |
604 KB |
Output is correct |
11 |
Correct |
0 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
1 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
856 KB |
Output is correct |
2 |
Correct |
0 ms |
600 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
0 ms |
604 KB |
Output is correct |
10 |
Correct |
0 ms |
604 KB |
Output is correct |
11 |
Correct |
0 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
1 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
472 KB |
Output is correct |
16 |
Correct |
8 ms |
4932 KB |
Output is correct |
17 |
Correct |
20 ms |
9120 KB |
Output is correct |
18 |
Correct |
28 ms |
8804 KB |
Output is correct |
19 |
Correct |
52 ms |
8144 KB |
Output is correct |
20 |
Correct |
57 ms |
8912 KB |
Output is correct |
21 |
Correct |
19 ms |
8132 KB |
Output is correct |
22 |
Correct |
1 ms |
3672 KB |
Output is correct |
23 |
Correct |
14 ms |
5840 KB |
Output is correct |
24 |
Correct |
23 ms |
9168 KB |
Output is correct |
25 |
Correct |
4 ms |
4060 KB |
Output is correct |
26 |
Correct |
15 ms |
6356 KB |
Output is correct |
27 |
Correct |
20 ms |
6864 KB |
Output is correct |
28 |
Correct |
24 ms |
8136 KB |
Output is correct |
29 |
Correct |
9 ms |
5584 KB |
Output is correct |
30 |
Correct |
2 ms |
3932 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
69 ms |
131296 KB |
Output is correct |
2 |
Correct |
9 ms |
29912 KB |
Output is correct |
3 |
Correct |
46 ms |
172996 KB |
Output is correct |
4 |
Correct |
13 ms |
10964 KB |
Output is correct |
5 |
Correct |
32 ms |
118384 KB |
Output is correct |
6 |
Correct |
24 ms |
100812 KB |
Output is correct |
7 |
Correct |
9 ms |
48092 KB |
Output is correct |
8 |
Correct |
25 ms |
104916 KB |
Output is correct |
9 |
Correct |
35 ms |
68956 KB |
Output is correct |
10 |
Correct |
28 ms |
81304 KB |
Output is correct |
11 |
Correct |
1 ms |
856 KB |
Output is correct |
12 |
Correct |
0 ms |
600 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
1 ms |
600 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
0 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
600 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
0 ms |
604 KB |
Output is correct |
20 |
Correct |
0 ms |
604 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
472 KB |
Output is correct |
26 |
Correct |
8 ms |
4932 KB |
Output is correct |
27 |
Correct |
20 ms |
9120 KB |
Output is correct |
28 |
Correct |
28 ms |
8804 KB |
Output is correct |
29 |
Correct |
52 ms |
8144 KB |
Output is correct |
30 |
Correct |
57 ms |
8912 KB |
Output is correct |
31 |
Correct |
19 ms |
8132 KB |
Output is correct |
32 |
Correct |
1 ms |
3672 KB |
Output is correct |
33 |
Correct |
14 ms |
5840 KB |
Output is correct |
34 |
Correct |
23 ms |
9168 KB |
Output is correct |
35 |
Correct |
4 ms |
4060 KB |
Output is correct |
36 |
Correct |
15 ms |
6356 KB |
Output is correct |
37 |
Correct |
20 ms |
6864 KB |
Output is correct |
38 |
Correct |
24 ms |
8136 KB |
Output is correct |
39 |
Correct |
9 ms |
5584 KB |
Output is correct |
40 |
Correct |
2 ms |
3932 KB |
Output is correct |
41 |
Correct |
243 ms |
207020 KB |
Output is correct |
42 |
Correct |
71 ms |
208052 KB |
Output is correct |
43 |
Correct |
137 ms |
206924 KB |
Output is correct |
44 |
Correct |
70 ms |
207756 KB |
Output is correct |
45 |
Correct |
57 ms |
207548 KB |
Output is correct |
46 |
Correct |
244 ms |
207040 KB |
Output is correct |
47 |
Correct |
58 ms |
207808 KB |
Output is correct |
48 |
Correct |
105 ms |
207808 KB |
Output is correct |
49 |
Correct |
69 ms |
207936 KB |
Output is correct |
50 |
Correct |
993 ms |
176576 KB |
Output is correct |
51 |
Correct |
1059 ms |
176160 KB |
Output is correct |
52 |
Correct |
993 ms |
175896 KB |
Output is correct |
53 |
Correct |
1030 ms |
175976 KB |
Output is correct |
54 |
Correct |
995 ms |
176136 KB |
Output is correct |
55 |
Correct |
1071 ms |
176572 KB |
Output is correct |
56 |
Correct |
951 ms |
176228 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
604 KB |
Output is correct |
3 |
Correct |
0 ms |
604 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
0 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
69 ms |
131296 KB |
Output is correct |
10 |
Correct |
9 ms |
29912 KB |
Output is correct |
11 |
Correct |
46 ms |
172996 KB |
Output is correct |
12 |
Correct |
13 ms |
10964 KB |
Output is correct |
13 |
Correct |
32 ms |
118384 KB |
Output is correct |
14 |
Correct |
24 ms |
100812 KB |
Output is correct |
15 |
Correct |
9 ms |
48092 KB |
Output is correct |
16 |
Correct |
25 ms |
104916 KB |
Output is correct |
17 |
Correct |
35 ms |
68956 KB |
Output is correct |
18 |
Correct |
28 ms |
81304 KB |
Output is correct |
19 |
Correct |
1 ms |
856 KB |
Output is correct |
20 |
Correct |
0 ms |
600 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
600 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
600 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
1 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
33 |
Correct |
1 ms |
472 KB |
Output is correct |
34 |
Correct |
8 ms |
4932 KB |
Output is correct |
35 |
Correct |
20 ms |
9120 KB |
Output is correct |
36 |
Correct |
28 ms |
8804 KB |
Output is correct |
37 |
Correct |
52 ms |
8144 KB |
Output is correct |
38 |
Correct |
57 ms |
8912 KB |
Output is correct |
39 |
Correct |
19 ms |
8132 KB |
Output is correct |
40 |
Correct |
1 ms |
3672 KB |
Output is correct |
41 |
Correct |
14 ms |
5840 KB |
Output is correct |
42 |
Correct |
23 ms |
9168 KB |
Output is correct |
43 |
Correct |
4 ms |
4060 KB |
Output is correct |
44 |
Correct |
15 ms |
6356 KB |
Output is correct |
45 |
Correct |
20 ms |
6864 KB |
Output is correct |
46 |
Correct |
24 ms |
8136 KB |
Output is correct |
47 |
Correct |
9 ms |
5584 KB |
Output is correct |
48 |
Correct |
2 ms |
3932 KB |
Output is correct |
49 |
Correct |
243 ms |
207020 KB |
Output is correct |
50 |
Correct |
71 ms |
208052 KB |
Output is correct |
51 |
Correct |
137 ms |
206924 KB |
Output is correct |
52 |
Correct |
70 ms |
207756 KB |
Output is correct |
53 |
Correct |
57 ms |
207548 KB |
Output is correct |
54 |
Correct |
244 ms |
207040 KB |
Output is correct |
55 |
Correct |
58 ms |
207808 KB |
Output is correct |
56 |
Correct |
105 ms |
207808 KB |
Output is correct |
57 |
Correct |
69 ms |
207936 KB |
Output is correct |
58 |
Correct |
993 ms |
176576 KB |
Output is correct |
59 |
Correct |
1059 ms |
176160 KB |
Output is correct |
60 |
Correct |
993 ms |
175896 KB |
Output is correct |
61 |
Correct |
1030 ms |
175976 KB |
Output is correct |
62 |
Correct |
995 ms |
176136 KB |
Output is correct |
63 |
Correct |
1071 ms |
176572 KB |
Output is correct |
64 |
Correct |
951 ms |
176228 KB |
Output is correct |
65 |
Correct |
0 ms |
344 KB |
Output is correct |
66 |
Correct |
0 ms |
348 KB |
Output is correct |
67 |
Correct |
978 ms |
176512 KB |
Output is correct |
68 |
Correct |
914 ms |
176444 KB |
Output is correct |
69 |
Correct |
710 ms |
175296 KB |
Output is correct |
70 |
Correct |
611 ms |
176316 KB |
Output is correct |
71 |
Correct |
725 ms |
175552 KB |
Output is correct |
72 |
Correct |
694 ms |
175996 KB |
Output is correct |
73 |
Correct |
816 ms |
175552 KB |
Output is correct |
74 |
Correct |
906 ms |
176932 KB |
Output is correct |
75 |
Correct |
654 ms |
175804 KB |
Output is correct |
76 |
Correct |
909 ms |
176752 KB |
Output is correct |
77 |
Correct |
161 ms |
207616 KB |
Output is correct |
78 |
Correct |
69 ms |
207292 KB |
Output is correct |
79 |
Correct |
121 ms |
207432 KB |
Output is correct |
80 |
Correct |
117 ms |
206876 KB |
Output is correct |
81 |
Correct |
120 ms |
207940 KB |
Output is correct |
82 |
Correct |
99 ms |
207796 KB |
Output is correct |
83 |
Correct |
78 ms |
206620 KB |
Output is correct |
84 |
Correct |
545 ms |
207568 KB |
Output is correct |
85 |
Correct |
914 ms |
176320 KB |
Output is correct |
86 |
Correct |
125 ms |
170588 KB |
Output is correct |
87 |
Correct |
122 ms |
170588 KB |
Output is correct |
88 |
Correct |
888 ms |
176520 KB |
Output is correct |
89 |
Correct |
246 ms |
171976 KB |
Output is correct |
90 |
Correct |
127 ms |
170588 KB |
Output is correct |