#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define int ll
#define f first
#define s second
#define REP(i,n) for (int i = 0; i<n; ++i)
#define REP1(i,n) for (int i = 1; i<=n; ++i)
#define pii pair<int, int>
#define SZ(x) (int)((x).size())
#define ALL(x) x.begin(), x.end()
#define pb push_back
#define MX(a,b) a = max(a,b)
#ifdef BALBIT
#define bug(...) cerr<<"#"<<__LINE__<<": "<<#__VA_ARGS__<<"- ", _do(__VA_ARGS__)
template<typename T> void _do(T && x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S && ...y){cerr<<x<<", "; _do(y...);}
#else
#define bug(...)
#define endl '\n'
#endif // BALBIT
struct rect{
int x,y,d;
};
int ps[2][100005];
signed main(){
ios::sync_with_stdio(0), cin.tie(0);
bug(1,2);
int n,k; cin>>n>>k;
vector<rect> v; v.reserve(k*4);
ll rr = 0;
REP(i,k) {
ll r1,c1,r2,c2; cin>>r1>>c1>>r2>>c2;
rr += (r2-r1+1) * (c2-c1+1);
--r1; --c1; --r2; --c2; --r1; --c1;
v.pb({r2,c2,1});
v.pb({r1,c1,1});
v.pb({r2,c1,-1});
v.pb({r1,c2,-1});
}
ll re = 1e18;
for (int d = 1; d<n; ++d) {
if (n % d == 0) {
ll totb = (n*n + ((n/d)&1?d*d:0))/2;
REP1(i,n) {
if (i) ps[0][i] = ps[0][i-1];
ps[0][i] += ((i-1)/d)%2==0;
ps[1][i] = i-ps[0][i];
}
bug(d, totb);
int over = 0;
for (rect r : v) {
if (r.x>=0&&r.y>=0) {
int tmp = 0;
++r.x; ++r.y;
tmp += (r.x%d) * (ps[((r.x-1)/d)&1][r.y]);
tmp += (r.y%d) * (ps[((r.y-1)/d)&1][r.x-r.x%d]);
r.x -= r.x%d; r.y -= r.y%d;
// --r.x; --r.y;
if (((r.x/d)&1) && ((r.y/d)&1)) {
tmp += ((r.x*r.y)+d*d)/2;
}else{
tmp += r.x*r.y/2;
}
over += tmp * r.d;
}
}
bug(over);
bug(totb + rr - over*2);
// MX(over, rr-over);
re = min(re, totb + rr - over*2);
over = rr-over;
re = min(re, n*n-totb + rr - over*2);
}
}
cout<<re<<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
*/
# |
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 |
42 ms |
7660 KB |
Output is correct |
2 |
Correct |
11 ms |
2412 KB |
Output is correct |
3 |
Correct |
27 ms |
5996 KB |
Output is correct |
4 |
Correct |
27 ms |
5228 KB |
Output is correct |
5 |
Correct |
35 ms |
7020 KB |
Output is correct |
6 |
Correct |
23 ms |
4844 KB |
Output is correct |
7 |
Correct |
6 ms |
1516 KB |
Output is correct |
8 |
Correct |
23 ms |
4844 KB |
Output is correct |
9 |
Correct |
57 ms |
10220 KB |
Output is correct |
10 |
Correct |
34 ms |
6252 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 |
492 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
2 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 |
492 KB |
Output is correct |
14 |
Correct |
2 ms |
492 KB |
Output is correct |
15 |
Correct |
2 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 |
492 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
2 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 |
492 KB |
Output is correct |
14 |
Correct |
2 ms |
492 KB |
Output is correct |
15 |
Correct |
2 ms |
492 KB |
Output is correct |
16 |
Correct |
25 ms |
3308 KB |
Output is correct |
17 |
Correct |
46 ms |
8812 KB |
Output is correct |
18 |
Correct |
80 ms |
10220 KB |
Output is correct |
19 |
Correct |
362 ms |
9196 KB |
Output is correct |
20 |
Correct |
407 ms |
10092 KB |
Output is correct |
21 |
Correct |
44 ms |
8428 KB |
Output is correct |
22 |
Correct |
2 ms |
364 KB |
Output is correct |
23 |
Correct |
58 ms |
4844 KB |
Output is correct |
24 |
Correct |
73 ms |
9324 KB |
Output is correct |
25 |
Correct |
12 ms |
1260 KB |
Output is correct |
26 |
Correct |
49 ms |
6124 KB |
Output is correct |
27 |
Correct |
75 ms |
7276 KB |
Output is correct |
28 |
Correct |
79 ms |
9836 KB |
Output is correct |
29 |
Correct |
18 ms |
3948 KB |
Output is correct |
30 |
Correct |
3 ms |
620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
42 ms |
7660 KB |
Output is correct |
2 |
Correct |
11 ms |
2412 KB |
Output is correct |
3 |
Correct |
27 ms |
5996 KB |
Output is correct |
4 |
Correct |
27 ms |
5228 KB |
Output is correct |
5 |
Correct |
35 ms |
7020 KB |
Output is correct |
6 |
Correct |
23 ms |
4844 KB |
Output is correct |
7 |
Correct |
6 ms |
1516 KB |
Output is correct |
8 |
Correct |
23 ms |
4844 KB |
Output is correct |
9 |
Correct |
57 ms |
10220 KB |
Output is correct |
10 |
Correct |
34 ms |
6252 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 |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
492 KB |
Output is correct |
18 |
Correct |
2 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 |
492 KB |
Output is correct |
24 |
Correct |
2 ms |
492 KB |
Output is correct |
25 |
Correct |
2 ms |
492 KB |
Output is correct |
26 |
Correct |
25 ms |
3308 KB |
Output is correct |
27 |
Correct |
46 ms |
8812 KB |
Output is correct |
28 |
Correct |
80 ms |
10220 KB |
Output is correct |
29 |
Correct |
362 ms |
9196 KB |
Output is correct |
30 |
Correct |
407 ms |
10092 KB |
Output is correct |
31 |
Correct |
44 ms |
8428 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
58 ms |
4844 KB |
Output is correct |
34 |
Correct |
73 ms |
9324 KB |
Output is correct |
35 |
Correct |
12 ms |
1260 KB |
Output is correct |
36 |
Correct |
49 ms |
6124 KB |
Output is correct |
37 |
Correct |
75 ms |
7276 KB |
Output is correct |
38 |
Correct |
79 ms |
9836 KB |
Output is correct |
39 |
Correct |
18 ms |
3948 KB |
Output is correct |
40 |
Correct |
3 ms |
620 KB |
Output is correct |
41 |
Correct |
358 ms |
10476 KB |
Output is correct |
42 |
Correct |
93 ms |
11628 KB |
Output is correct |
43 |
Correct |
234 ms |
10476 KB |
Output is correct |
44 |
Correct |
97 ms |
11328 KB |
Output is correct |
45 |
Correct |
63 ms |
12140 KB |
Output is correct |
46 |
Correct |
407 ms |
11500 KB |
Output is correct |
47 |
Correct |
55 ms |
10732 KB |
Output is correct |
48 |
Correct |
140 ms |
10860 KB |
Output is correct |
49 |
Correct |
83 ms |
10476 KB |
Output is correct |
50 |
Correct |
1876 ms |
11244 KB |
Output is correct |
51 |
Execution timed out |
2011 ms |
11708 KB |
Time limit exceeded |
52 |
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 |
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 |
42 ms |
7660 KB |
Output is correct |
10 |
Correct |
11 ms |
2412 KB |
Output is correct |
11 |
Correct |
27 ms |
5996 KB |
Output is correct |
12 |
Correct |
27 ms |
5228 KB |
Output is correct |
13 |
Correct |
35 ms |
7020 KB |
Output is correct |
14 |
Correct |
23 ms |
4844 KB |
Output is correct |
15 |
Correct |
6 ms |
1516 KB |
Output is correct |
16 |
Correct |
23 ms |
4844 KB |
Output is correct |
17 |
Correct |
57 ms |
10220 KB |
Output is correct |
18 |
Correct |
34 ms |
6252 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 |
1 ms |
492 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
492 KB |
Output is correct |
26 |
Correct |
2 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 |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
492 KB |
Output is correct |
33 |
Correct |
2 ms |
492 KB |
Output is correct |
34 |
Correct |
25 ms |
3308 KB |
Output is correct |
35 |
Correct |
46 ms |
8812 KB |
Output is correct |
36 |
Correct |
80 ms |
10220 KB |
Output is correct |
37 |
Correct |
362 ms |
9196 KB |
Output is correct |
38 |
Correct |
407 ms |
10092 KB |
Output is correct |
39 |
Correct |
44 ms |
8428 KB |
Output is correct |
40 |
Correct |
2 ms |
364 KB |
Output is correct |
41 |
Correct |
58 ms |
4844 KB |
Output is correct |
42 |
Correct |
73 ms |
9324 KB |
Output is correct |
43 |
Correct |
12 ms |
1260 KB |
Output is correct |
44 |
Correct |
49 ms |
6124 KB |
Output is correct |
45 |
Correct |
75 ms |
7276 KB |
Output is correct |
46 |
Correct |
79 ms |
9836 KB |
Output is correct |
47 |
Correct |
18 ms |
3948 KB |
Output is correct |
48 |
Correct |
3 ms |
620 KB |
Output is correct |
49 |
Correct |
358 ms |
10476 KB |
Output is correct |
50 |
Correct |
93 ms |
11628 KB |
Output is correct |
51 |
Correct |
234 ms |
10476 KB |
Output is correct |
52 |
Correct |
97 ms |
11328 KB |
Output is correct |
53 |
Correct |
63 ms |
12140 KB |
Output is correct |
54 |
Correct |
407 ms |
11500 KB |
Output is correct |
55 |
Correct |
55 ms |
10732 KB |
Output is correct |
56 |
Correct |
140 ms |
10860 KB |
Output is correct |
57 |
Correct |
83 ms |
10476 KB |
Output is correct |
58 |
Correct |
1876 ms |
11244 KB |
Output is correct |
59 |
Execution timed out |
2011 ms |
11708 KB |
Time limit exceeded |
60 |
Halted |
0 ms |
0 KB |
- |