#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define F first
#define S second
using namespace std;
const ll N=1000006, INF=1e18;
ll e, t, n, m, a[N], i, j, k, u, x1, x2, X1, X2, ans[N], xl[N], yl[N], xr[N], yr[N], Ans, sz, w, r, X, Y, xx, yy, xxx, yyy, A, B;
vector <int> v;
ll calc(ll x, ll y){
if(!x||!y) return 0;
t=0;
X=x/e*e;
Y=y/e*e;
xx=X/e;
yy=Y/e;
t+=(((xx*yy+1)/2)*e*e);
xxx=x-X;
yyy=y-Y;
if(xx&1) B=(yy>>1);
else B=(yy+1>>1);
if(yy&1) A=(xx>>1);
else A=(xx+1>>1);
t+=(B*xxx*e);
t+=(A*yyy*e);
if(!((X/e+Y/e)&1)) t+=(xxx*yyy);
// cout<<x<<" "<<y<<" "<<t<<endl;
return t;
}
int main(){ios_base::sync_with_stdio(false), cin.tie(0);
long long ee;
cin>>n>>m;
Ans=INF;
for (int i=1; i<=m; i++)
cin>>xl[i]>>yl[i]>>xr[i]>>yr[i],
a[i]=(xr[i]-xl[i]+1)*(yr[i]-yl[i]+1);
for (int i=1; i<n; i++)
if(n%i==0)
v.pb(i);
k=v.size();
for(int i=0; i<k; i++){
e=v[i];
ans[i]=(n*n/e/e+1)/2*e*e;//cout<<ans[i]<<" ";
for (int j=1; j<=m; j++)
ans[i]+=a[j],
ans[i]-=2*(calc(xr[j], yr[j])-(calc(xl[j]-1, yr[j])+calc(xr[j], yl[j]-1)-calc(xl[j]-1, yl[j]-1)));
Ans=min(Ans, min(ans[i], n*n-ans[i]));//cout<<ans[i]<<endl;
}
cout<<Ans;
}
/*
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
*/
Compilation message
chessboard.cpp: In function 'long long int calc(long long int, long long int)':
chessboard.cpp:25:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
25 | else B=(yy+1>>1);
| ~~^~
chessboard.cpp:28:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
28 | else A=(xx+1>>1);
| ~~^~
chessboard.cpp: In function 'int main()':
chessboard.cpp:39:12: warning: unused variable 'ee' [-Wunused-variable]
39 | long long ee;
| ^~
# |
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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
4332 KB |
Output is correct |
2 |
Correct |
8 ms |
1388 KB |
Output is correct |
3 |
Correct |
18 ms |
2924 KB |
Output is correct |
4 |
Correct |
20 ms |
3052 KB |
Output is correct |
5 |
Correct |
26 ms |
3820 KB |
Output is correct |
6 |
Correct |
17 ms |
2540 KB |
Output is correct |
7 |
Correct |
4 ms |
876 KB |
Output is correct |
8 |
Correct |
17 ms |
2540 KB |
Output is correct |
9 |
Correct |
41 ms |
5996 KB |
Output is correct |
10 |
Correct |
23 ms |
3564 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 |
512 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 |
384 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 |
492 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 |
512 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 |
384 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 |
492 KB |
Output is correct |
16 |
Correct |
14 ms |
1900 KB |
Output is correct |
17 |
Correct |
32 ms |
5100 KB |
Output is correct |
18 |
Correct |
49 ms |
5868 KB |
Output is correct |
19 |
Correct |
165 ms |
5228 KB |
Output is correct |
20 |
Correct |
185 ms |
5888 KB |
Output is correct |
21 |
Correct |
31 ms |
4844 KB |
Output is correct |
22 |
Correct |
2 ms |
312 KB |
Output is correct |
23 |
Correct |
31 ms |
2668 KB |
Output is correct |
24 |
Correct |
46 ms |
5560 KB |
Output is correct |
25 |
Correct |
7 ms |
876 KB |
Output is correct |
26 |
Correct |
28 ms |
3564 KB |
Output is correct |
27 |
Correct |
42 ms |
4204 KB |
Output is correct |
28 |
Correct |
48 ms |
5612 KB |
Output is correct |
29 |
Correct |
13 ms |
2284 KB |
Output is correct |
30 |
Correct |
2 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
4332 KB |
Output is correct |
2 |
Correct |
8 ms |
1388 KB |
Output is correct |
3 |
Correct |
18 ms |
2924 KB |
Output is correct |
4 |
Correct |
20 ms |
3052 KB |
Output is correct |
5 |
Correct |
26 ms |
3820 KB |
Output is correct |
6 |
Correct |
17 ms |
2540 KB |
Output is correct |
7 |
Correct |
4 ms |
876 KB |
Output is correct |
8 |
Correct |
17 ms |
2540 KB |
Output is correct |
9 |
Correct |
41 ms |
5996 KB |
Output is correct |
10 |
Correct |
23 ms |
3564 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 |
512 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 |
384 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 |
492 KB |
Output is correct |
26 |
Correct |
14 ms |
1900 KB |
Output is correct |
27 |
Correct |
32 ms |
5100 KB |
Output is correct |
28 |
Correct |
49 ms |
5868 KB |
Output is correct |
29 |
Correct |
165 ms |
5228 KB |
Output is correct |
30 |
Correct |
185 ms |
5888 KB |
Output is correct |
31 |
Correct |
31 ms |
4844 KB |
Output is correct |
32 |
Correct |
2 ms |
312 KB |
Output is correct |
33 |
Correct |
31 ms |
2668 KB |
Output is correct |
34 |
Correct |
46 ms |
5560 KB |
Output is correct |
35 |
Correct |
7 ms |
876 KB |
Output is correct |
36 |
Correct |
28 ms |
3564 KB |
Output is correct |
37 |
Correct |
42 ms |
4204 KB |
Output is correct |
38 |
Correct |
48 ms |
5612 KB |
Output is correct |
39 |
Correct |
13 ms |
2284 KB |
Output is correct |
40 |
Correct |
2 ms |
492 KB |
Output is correct |
41 |
Correct |
148 ms |
5668 KB |
Output is correct |
42 |
Correct |
54 ms |
6380 KB |
Output is correct |
43 |
Correct |
90 ms |
5612 KB |
Output is correct |
44 |
Correct |
54 ms |
6124 KB |
Output is correct |
45 |
Correct |
44 ms |
6508 KB |
Output is correct |
46 |
Correct |
167 ms |
6252 KB |
Output is correct |
47 |
Correct |
39 ms |
5740 KB |
Output is correct |
48 |
Correct |
71 ms |
5868 KB |
Output is correct |
49 |
Correct |
48 ms |
5888 KB |
Output is correct |
50 |
Correct |
731 ms |
6124 KB |
Output is correct |
51 |
Correct |
789 ms |
6636 KB |
Output is correct |
52 |
Correct |
731 ms |
6124 KB |
Output is correct |
53 |
Correct |
773 ms |
6508 KB |
Output is correct |
54 |
Correct |
715 ms |
5996 KB |
Output is correct |
55 |
Correct |
808 ms |
6732 KB |
Output is correct |
56 |
Correct |
699 ms |
5996 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 |
30 ms |
4332 KB |
Output is correct |
10 |
Correct |
8 ms |
1388 KB |
Output is correct |
11 |
Correct |
18 ms |
2924 KB |
Output is correct |
12 |
Correct |
20 ms |
3052 KB |
Output is correct |
13 |
Correct |
26 ms |
3820 KB |
Output is correct |
14 |
Correct |
17 ms |
2540 KB |
Output is correct |
15 |
Correct |
4 ms |
876 KB |
Output is correct |
16 |
Correct |
17 ms |
2540 KB |
Output is correct |
17 |
Correct |
41 ms |
5996 KB |
Output is correct |
18 |
Correct |
23 ms |
3564 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 |
512 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 |
384 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 |
492 KB |
Output is correct |
34 |
Correct |
14 ms |
1900 KB |
Output is correct |
35 |
Correct |
32 ms |
5100 KB |
Output is correct |
36 |
Correct |
49 ms |
5868 KB |
Output is correct |
37 |
Correct |
165 ms |
5228 KB |
Output is correct |
38 |
Correct |
185 ms |
5888 KB |
Output is correct |
39 |
Correct |
31 ms |
4844 KB |
Output is correct |
40 |
Correct |
2 ms |
312 KB |
Output is correct |
41 |
Correct |
31 ms |
2668 KB |
Output is correct |
42 |
Correct |
46 ms |
5560 KB |
Output is correct |
43 |
Correct |
7 ms |
876 KB |
Output is correct |
44 |
Correct |
28 ms |
3564 KB |
Output is correct |
45 |
Correct |
42 ms |
4204 KB |
Output is correct |
46 |
Correct |
48 ms |
5612 KB |
Output is correct |
47 |
Correct |
13 ms |
2284 KB |
Output is correct |
48 |
Correct |
2 ms |
492 KB |
Output is correct |
49 |
Correct |
148 ms |
5668 KB |
Output is correct |
50 |
Correct |
54 ms |
6380 KB |
Output is correct |
51 |
Correct |
90 ms |
5612 KB |
Output is correct |
52 |
Correct |
54 ms |
6124 KB |
Output is correct |
53 |
Correct |
44 ms |
6508 KB |
Output is correct |
54 |
Correct |
167 ms |
6252 KB |
Output is correct |
55 |
Correct |
39 ms |
5740 KB |
Output is correct |
56 |
Correct |
71 ms |
5868 KB |
Output is correct |
57 |
Correct |
48 ms |
5888 KB |
Output is correct |
58 |
Correct |
731 ms |
6124 KB |
Output is correct |
59 |
Correct |
789 ms |
6636 KB |
Output is correct |
60 |
Correct |
731 ms |
6124 KB |
Output is correct |
61 |
Correct |
773 ms |
6508 KB |
Output is correct |
62 |
Correct |
715 ms |
5996 KB |
Output is correct |
63 |
Correct |
808 ms |
6732 KB |
Output is correct |
64 |
Correct |
699 ms |
5996 KB |
Output is correct |
65 |
Correct |
1 ms |
364 KB |
Output is correct |
66 |
Correct |
1 ms |
364 KB |
Output is correct |
67 |
Correct |
777 ms |
6380 KB |
Output is correct |
68 |
Correct |
775 ms |
6380 KB |
Output is correct |
69 |
Correct |
676 ms |
5612 KB |
Output is correct |
70 |
Correct |
767 ms |
6124 KB |
Output is correct |
71 |
Correct |
745 ms |
6124 KB |
Output is correct |
72 |
Correct |
732 ms |
5868 KB |
Output is correct |
73 |
Correct |
714 ms |
5740 KB |
Output is correct |
74 |
Correct |
765 ms |
6252 KB |
Output is correct |
75 |
Correct |
747 ms |
5996 KB |
Output is correct |
76 |
Correct |
788 ms |
6380 KB |
Output is correct |
77 |
Correct |
135 ms |
6636 KB |
Output is correct |
78 |
Correct |
53 ms |
5996 KB |
Output is correct |
79 |
Correct |
95 ms |
5740 KB |
Output is correct |
80 |
Correct |
100 ms |
5996 KB |
Output is correct |
81 |
Correct |
90 ms |
5484 KB |
Output is correct |
82 |
Correct |
78 ms |
6252 KB |
Output is correct |
83 |
Correct |
61 ms |
5868 KB |
Output is correct |
84 |
Correct |
469 ms |
6564 KB |
Output is correct |
85 |
Correct |
817 ms |
6636 KB |
Output is correct |
86 |
Correct |
2 ms |
364 KB |
Output is correct |
87 |
Correct |
1 ms |
364 KB |
Output is correct |
88 |
Correct |
839 ms |
6808 KB |
Output is correct |
89 |
Correct |
158 ms |
1644 KB |
Output is correct |
90 |
Correct |
1 ms |
364 KB |
Output is correct |