#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
#define int ll
struct square{
int x;int y;
int xp;int yp;
};
signed main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
int n,k;cin>>n>>k;
vector<ll> blackunion(n+1,0);
vector<square> s(k);
ll blacksum = 0;
for(int i=0;i<k;i++){
cin>>s[i].x>>s[i].xp>>s[i].y>>s[i].yp;
s[i].x--;
s[i].y--;
s[i].xp--;
s[i].yp--;
blacksum+=1LL*(s[i].y-s[i].x+1)*(s[i].yp-s[i].xp+1);
}
ll minn = LONG_LONG_MAX;
for(int d=1;d<n;d++){
if(n%d) continue;
for(int i=0;i<k;i++){
ll hoz = 0;
ll ver = 0;
int g = (s[i].y/d)-(s[i].x/d);
if(g==0) hoz = s[i].y-s[i].x+1;
else{
if(g&1){
hoz = (d*(g/2))+d-(s[i].x%d);
}else{
hoz = d-(s[i].x%d)+(s[i].y%d)+1+(d*((g-1)/2));
}
}
int h = (s[i].yp/d)-(s[i].xp/d);
if(h==0) ver = s[i].yp-s[i].xp+1;
else{
if(h&1){
ver = (d*(h/2))+d-(s[i].xp%d);
}else{
ver = d-(s[i].xp%d)+(s[i].yp%d)+1+(d*((h-1)/2));
}
}
//cout<<ver<<" "<<hoz<<"\n";
ll block = (ver*hoz)+(s[i].y-s[i].x+1-hoz)*(s[i].yp-s[i].xp+1-ver);
if((((s[i].x/d)&1)^((s[i].xp/d)&1))==0) blackunion[d]+=block;
else blackunion[d]+=1LL*(s[i].y-s[i].x+1)*(s[i].yp-s[i].xp+1)-block;
}
ll allblack = 0;
if((n/d)&1) allblack= 1LL*d*d*(1LL*(n/d)*(((n/d)/2))+((n/d)/2+1));
else allblack = 1LL*d*d*(1LL*(n/d)*(n/d)/2);
//cout<<d<<" "<<blackunion[d]<<" "<<allblack<<" "<<blacksum<<"\n";
minn = min(minn,blacksum+allblack-2*blackunion[d]);
minn = min(minn,2*blackunion[d]+(1LL*n*n-allblack)-blacksum);
}
cout<<minn<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
320 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
3532 KB |
Output is correct |
2 |
Correct |
5 ms |
1236 KB |
Output is correct |
3 |
Correct |
13 ms |
2972 KB |
Output is correct |
4 |
Correct |
12 ms |
2544 KB |
Output is correct |
5 |
Correct |
16 ms |
3252 KB |
Output is correct |
6 |
Correct |
10 ms |
2572 KB |
Output is correct |
7 |
Correct |
4 ms |
852 KB |
Output is correct |
8 |
Correct |
12 ms |
2508 KB |
Output is correct |
9 |
Correct |
32 ms |
4148 KB |
Output is correct |
10 |
Correct |
16 ms |
2904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
9 ms |
1620 KB |
Output is correct |
17 |
Correct |
20 ms |
3736 KB |
Output is correct |
18 |
Correct |
29 ms |
4176 KB |
Output is correct |
19 |
Correct |
78 ms |
3796 KB |
Output is correct |
20 |
Correct |
83 ms |
4176 KB |
Output is correct |
21 |
Correct |
19 ms |
3632 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
16 ms |
2248 KB |
Output is correct |
24 |
Correct |
25 ms |
3796 KB |
Output is correct |
25 |
Correct |
4 ms |
724 KB |
Output is correct |
26 |
Correct |
16 ms |
2860 KB |
Output is correct |
27 |
Correct |
24 ms |
3216 KB |
Output is correct |
28 |
Correct |
28 ms |
4052 KB |
Output is correct |
29 |
Correct |
10 ms |
1884 KB |
Output is correct |
30 |
Correct |
2 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
3532 KB |
Output is correct |
2 |
Correct |
5 ms |
1236 KB |
Output is correct |
3 |
Correct |
13 ms |
2972 KB |
Output is correct |
4 |
Correct |
12 ms |
2544 KB |
Output is correct |
5 |
Correct |
16 ms |
3252 KB |
Output is correct |
6 |
Correct |
10 ms |
2572 KB |
Output is correct |
7 |
Correct |
4 ms |
852 KB |
Output is correct |
8 |
Correct |
12 ms |
2508 KB |
Output is correct |
9 |
Correct |
32 ms |
4148 KB |
Output is correct |
10 |
Correct |
16 ms |
2904 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
324 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
328 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
328 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
9 ms |
1620 KB |
Output is correct |
27 |
Correct |
20 ms |
3736 KB |
Output is correct |
28 |
Correct |
29 ms |
4176 KB |
Output is correct |
29 |
Correct |
78 ms |
3796 KB |
Output is correct |
30 |
Correct |
83 ms |
4176 KB |
Output is correct |
31 |
Correct |
19 ms |
3632 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
16 ms |
2248 KB |
Output is correct |
34 |
Correct |
25 ms |
3796 KB |
Output is correct |
35 |
Correct |
4 ms |
724 KB |
Output is correct |
36 |
Correct |
16 ms |
2860 KB |
Output is correct |
37 |
Correct |
24 ms |
3216 KB |
Output is correct |
38 |
Correct |
28 ms |
4052 KB |
Output is correct |
39 |
Correct |
10 ms |
1884 KB |
Output is correct |
40 |
Correct |
2 ms |
460 KB |
Output is correct |
41 |
Correct |
69 ms |
4436 KB |
Output is correct |
42 |
Correct |
32 ms |
4808 KB |
Output is correct |
43 |
Correct |
45 ms |
4468 KB |
Output is correct |
44 |
Correct |
31 ms |
4692 KB |
Output is correct |
45 |
Correct |
29 ms |
4932 KB |
Output is correct |
46 |
Correct |
84 ms |
4764 KB |
Output is correct |
47 |
Correct |
26 ms |
4548 KB |
Output is correct |
48 |
Correct |
37 ms |
4588 KB |
Output is correct |
49 |
Correct |
32 ms |
4436 KB |
Output is correct |
50 |
Correct |
306 ms |
4576 KB |
Output is correct |
51 |
Correct |
331 ms |
4768 KB |
Output is correct |
52 |
Correct |
304 ms |
4564 KB |
Output is correct |
53 |
Correct |
325 ms |
4748 KB |
Output is correct |
54 |
Correct |
307 ms |
4520 KB |
Output is correct |
55 |
Correct |
337 ms |
4864 KB |
Output is correct |
56 |
Correct |
297 ms |
4428 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
320 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
18 ms |
3532 KB |
Output is correct |
10 |
Correct |
5 ms |
1236 KB |
Output is correct |
11 |
Correct |
13 ms |
2972 KB |
Output is correct |
12 |
Correct |
12 ms |
2544 KB |
Output is correct |
13 |
Correct |
16 ms |
3252 KB |
Output is correct |
14 |
Correct |
10 ms |
2572 KB |
Output is correct |
15 |
Correct |
4 ms |
852 KB |
Output is correct |
16 |
Correct |
12 ms |
2508 KB |
Output is correct |
17 |
Correct |
32 ms |
4148 KB |
Output is correct |
18 |
Correct |
16 ms |
2904 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
324 KB |
Output is correct |
23 |
Correct |
1 ms |
328 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
328 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
9 ms |
1620 KB |
Output is correct |
35 |
Correct |
20 ms |
3736 KB |
Output is correct |
36 |
Correct |
29 ms |
4176 KB |
Output is correct |
37 |
Correct |
78 ms |
3796 KB |
Output is correct |
38 |
Correct |
83 ms |
4176 KB |
Output is correct |
39 |
Correct |
19 ms |
3632 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
16 ms |
2248 KB |
Output is correct |
42 |
Correct |
25 ms |
3796 KB |
Output is correct |
43 |
Correct |
4 ms |
724 KB |
Output is correct |
44 |
Correct |
16 ms |
2860 KB |
Output is correct |
45 |
Correct |
24 ms |
3216 KB |
Output is correct |
46 |
Correct |
28 ms |
4052 KB |
Output is correct |
47 |
Correct |
10 ms |
1884 KB |
Output is correct |
48 |
Correct |
2 ms |
460 KB |
Output is correct |
49 |
Correct |
69 ms |
4436 KB |
Output is correct |
50 |
Correct |
32 ms |
4808 KB |
Output is correct |
51 |
Correct |
45 ms |
4468 KB |
Output is correct |
52 |
Correct |
31 ms |
4692 KB |
Output is correct |
53 |
Correct |
29 ms |
4932 KB |
Output is correct |
54 |
Correct |
84 ms |
4764 KB |
Output is correct |
55 |
Correct |
26 ms |
4548 KB |
Output is correct |
56 |
Correct |
37 ms |
4588 KB |
Output is correct |
57 |
Correct |
32 ms |
4436 KB |
Output is correct |
58 |
Correct |
306 ms |
4576 KB |
Output is correct |
59 |
Correct |
331 ms |
4768 KB |
Output is correct |
60 |
Correct |
304 ms |
4564 KB |
Output is correct |
61 |
Correct |
325 ms |
4748 KB |
Output is correct |
62 |
Correct |
307 ms |
4520 KB |
Output is correct |
63 |
Correct |
337 ms |
4864 KB |
Output is correct |
64 |
Correct |
297 ms |
4428 KB |
Output is correct |
65 |
Correct |
0 ms |
212 KB |
Output is correct |
66 |
Correct |
1 ms |
212 KB |
Output is correct |
67 |
Correct |
338 ms |
4660 KB |
Output is correct |
68 |
Correct |
347 ms |
6120 KB |
Output is correct |
69 |
Correct |
298 ms |
5472 KB |
Output is correct |
70 |
Correct |
330 ms |
5948 KB |
Output is correct |
71 |
Correct |
329 ms |
5784 KB |
Output is correct |
72 |
Correct |
318 ms |
5716 KB |
Output is correct |
73 |
Correct |
319 ms |
5656 KB |
Output is correct |
74 |
Correct |
340 ms |
6052 KB |
Output is correct |
75 |
Correct |
333 ms |
5836 KB |
Output is correct |
76 |
Correct |
342 ms |
6172 KB |
Output is correct |
77 |
Correct |
67 ms |
6460 KB |
Output is correct |
78 |
Correct |
33 ms |
6004 KB |
Output is correct |
79 |
Correct |
51 ms |
5768 KB |
Output is correct |
80 |
Correct |
50 ms |
5924 KB |
Output is correct |
81 |
Correct |
46 ms |
5584 KB |
Output is correct |
82 |
Correct |
42 ms |
6272 KB |
Output is correct |
83 |
Correct |
35 ms |
5816 KB |
Output is correct |
84 |
Correct |
210 ms |
6428 KB |
Output is correct |
85 |
Correct |
357 ms |
6508 KB |
Output is correct |
86 |
Correct |
1 ms |
980 KB |
Output is correct |
87 |
Correct |
1 ms |
852 KB |
Output is correct |
88 |
Correct |
367 ms |
6384 KB |
Output is correct |
89 |
Correct |
71 ms |
2004 KB |
Output is correct |
90 |
Correct |
1 ms |
980 KB |
Output is correct |