#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma comment(linker,"/stack:20000000")
//#pragma GCC target("sse,sse2,sse3,sse3,ssse3,abm,avx,avx2,tune=native")
#define f first
#define s second
#define endl '\n'
#define vec vector
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define m_p make_pair
#define sz(x) (int)x.size()
#define pw(x) (1LL<<x)
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<ll,int> pli;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
auto rng=bind(uniform_int_distribution<int>(0,1e9),mt19937(time(0)));
template<class T>bool umin(T &a,const T &b) {return (a>b?a=b,1:0);}
template<class T>bool umax(T &a,const T &b) {return (a<b?a=b,1:0);}
template<class T> using ordered_set=tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
//vec<int>tos={}
const int N=1e5+1;
int nxt(int x,int k){
x+=(k-x%k);
return x;
}
int prv(int x,int k){
x-=(x%k);x--;
return x;
}
int get(int x,int k){
return (x/k)&1;
}
pii get(int l,int r,int k){
int dl=r-l+1;
while(get(l,k)!=0) l=nxt(l,k);
while(get(r,k)!=0) r=prv(r,k);
int x=0;
if(l>r) x=0;
else if(l<=r){
if((l/k)==(r/k)){
x=r-l+1;
}
else{
x+=nxt(l,k)-l;
x+=r-prv(r,k);
l=nxt(l,k);r=prv(r,k);
assert(l%k==0);assert(r%k==k-1);
int how=(r-l+1)/k;
how/=2;
x+=how*k;
}
}
return {x,dl-x};
}
signed main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int n,q;
cin>>n>>q;
ll ans=1ll*n*n;
vec<vec<array<int,3>>>scan(n+1,vec<array<int,3>>());
for(int i=0;i<q;i++){
int x1,x2,y1,y2;
cin>>x1>>y1>>x2>>y2;
--x1;--x2;--y1;--y2;
scan[y1].pb({x1,x2,1});
scan[y2+1].pb({x1,x2,-1});
}
vec<int>ch(n,0);
for(int x=1;x<n;x++){
if(n%x) continue;
//cerr<<"HERE "<<endl;
vec<int>cnt(2,0);
vec<int>cr(2,0);
for(int j=0;j<n;j++){
ch[j]=((j/x)&1);
cnt[ch[j]]++;
}
vec<ll>answ(2,0);
int k=x;
for(int i=0;i<=n;i++){
for(auto &z : scan[i]){
int l=z[0],r=z[1];
cr[0]+=get(l,r,k).f*z[2];
cr[1]+=get(l,r,k).s*z[2];
}
if(i==n) continue;
// if(i && ch[i]!=ch[i-1]) swap(cr[0],cr[1]);
int a=cr[0],b=cr[1];
if(ch[i]){
int x=a+cnt[1]-b;
answ[1]+=x;
x=n-x;
answ[0]+=x;
}
else{
int x=a+cnt[1]-b;
answ[0]+=x;
x=n-x;
answ[1]+=x;
}
}
umin(ans,answ[0]);
umin(ans,answ[1]);
}
cout<<ans;
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
44 ms |
4540 KB |
Output is correct |
2 |
Correct |
12 ms |
1612 KB |
Output is correct |
3 |
Correct |
31 ms |
5328 KB |
Output is correct |
4 |
Correct |
28 ms |
3148 KB |
Output is correct |
5 |
Correct |
42 ms |
5332 KB |
Output is correct |
6 |
Correct |
27 ms |
3840 KB |
Output is correct |
7 |
Correct |
7 ms |
1476 KB |
Output is correct |
8 |
Correct |
29 ms |
3920 KB |
Output is correct |
9 |
Correct |
70 ms |
6784 KB |
Output is correct |
10 |
Correct |
40 ms |
4596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
2 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
324 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
2 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
2 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
324 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
2 ms |
328 KB |
Output is correct |
16 |
Correct |
20 ms |
1788 KB |
Output is correct |
17 |
Correct |
44 ms |
5028 KB |
Output is correct |
18 |
Correct |
69 ms |
5188 KB |
Output is correct |
19 |
Correct |
270 ms |
4976 KB |
Output is correct |
20 |
Correct |
304 ms |
5188 KB |
Output is correct |
21 |
Correct |
41 ms |
4952 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
50 ms |
2584 KB |
Output is correct |
24 |
Correct |
66 ms |
5040 KB |
Output is correct |
25 |
Correct |
10 ms |
852 KB |
Output is correct |
26 |
Correct |
40 ms |
3112 KB |
Output is correct |
27 |
Correct |
63 ms |
4496 KB |
Output is correct |
28 |
Correct |
68 ms |
5060 KB |
Output is correct |
29 |
Correct |
22 ms |
2308 KB |
Output is correct |
30 |
Correct |
3 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
44 ms |
4540 KB |
Output is correct |
2 |
Correct |
12 ms |
1612 KB |
Output is correct |
3 |
Correct |
31 ms |
5328 KB |
Output is correct |
4 |
Correct |
28 ms |
3148 KB |
Output is correct |
5 |
Correct |
42 ms |
5332 KB |
Output is correct |
6 |
Correct |
27 ms |
3840 KB |
Output is correct |
7 |
Correct |
7 ms |
1476 KB |
Output is correct |
8 |
Correct |
29 ms |
3920 KB |
Output is correct |
9 |
Correct |
70 ms |
6784 KB |
Output is correct |
10 |
Correct |
40 ms |
4596 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
324 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
2 ms |
328 KB |
Output is correct |
26 |
Correct |
20 ms |
1788 KB |
Output is correct |
27 |
Correct |
44 ms |
5028 KB |
Output is correct |
28 |
Correct |
69 ms |
5188 KB |
Output is correct |
29 |
Correct |
270 ms |
4976 KB |
Output is correct |
30 |
Correct |
304 ms |
5188 KB |
Output is correct |
31 |
Correct |
41 ms |
4952 KB |
Output is correct |
32 |
Correct |
2 ms |
332 KB |
Output is correct |
33 |
Correct |
50 ms |
2584 KB |
Output is correct |
34 |
Correct |
66 ms |
5040 KB |
Output is correct |
35 |
Correct |
10 ms |
852 KB |
Output is correct |
36 |
Correct |
40 ms |
3112 KB |
Output is correct |
37 |
Correct |
63 ms |
4496 KB |
Output is correct |
38 |
Correct |
68 ms |
5060 KB |
Output is correct |
39 |
Correct |
22 ms |
2308 KB |
Output is correct |
40 |
Correct |
3 ms |
460 KB |
Output is correct |
41 |
Correct |
314 ms |
8512 KB |
Output is correct |
42 |
Correct |
99 ms |
9284 KB |
Output is correct |
43 |
Correct |
187 ms |
8488 KB |
Output is correct |
44 |
Correct |
102 ms |
8956 KB |
Output is correct |
45 |
Correct |
75 ms |
9284 KB |
Output is correct |
46 |
Correct |
343 ms |
9092 KB |
Output is correct |
47 |
Correct |
88 ms |
8516 KB |
Output is correct |
48 |
Correct |
159 ms |
8716 KB |
Output is correct |
49 |
Correct |
83 ms |
8476 KB |
Output is correct |
50 |
Correct |
1659 ms |
8492 KB |
Output is correct |
51 |
Correct |
1776 ms |
8868 KB |
Output is correct |
52 |
Correct |
1613 ms |
8444 KB |
Output is correct |
53 |
Correct |
1677 ms |
8716 KB |
Output is correct |
54 |
Correct |
1595 ms |
8368 KB |
Output is correct |
55 |
Correct |
1791 ms |
9064 KB |
Output is correct |
56 |
Correct |
1500 ms |
8188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
44 ms |
4540 KB |
Output is correct |
10 |
Correct |
12 ms |
1612 KB |
Output is correct |
11 |
Correct |
31 ms |
5328 KB |
Output is correct |
12 |
Correct |
28 ms |
3148 KB |
Output is correct |
13 |
Correct |
42 ms |
5332 KB |
Output is correct |
14 |
Correct |
27 ms |
3840 KB |
Output is correct |
15 |
Correct |
7 ms |
1476 KB |
Output is correct |
16 |
Correct |
29 ms |
3920 KB |
Output is correct |
17 |
Correct |
70 ms |
6784 KB |
Output is correct |
18 |
Correct |
40 ms |
4596 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
324 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
2 ms |
328 KB |
Output is correct |
34 |
Correct |
20 ms |
1788 KB |
Output is correct |
35 |
Correct |
44 ms |
5028 KB |
Output is correct |
36 |
Correct |
69 ms |
5188 KB |
Output is correct |
37 |
Correct |
270 ms |
4976 KB |
Output is correct |
38 |
Correct |
304 ms |
5188 KB |
Output is correct |
39 |
Correct |
41 ms |
4952 KB |
Output is correct |
40 |
Correct |
2 ms |
332 KB |
Output is correct |
41 |
Correct |
50 ms |
2584 KB |
Output is correct |
42 |
Correct |
66 ms |
5040 KB |
Output is correct |
43 |
Correct |
10 ms |
852 KB |
Output is correct |
44 |
Correct |
40 ms |
3112 KB |
Output is correct |
45 |
Correct |
63 ms |
4496 KB |
Output is correct |
46 |
Correct |
68 ms |
5060 KB |
Output is correct |
47 |
Correct |
22 ms |
2308 KB |
Output is correct |
48 |
Correct |
3 ms |
460 KB |
Output is correct |
49 |
Correct |
314 ms |
8512 KB |
Output is correct |
50 |
Correct |
99 ms |
9284 KB |
Output is correct |
51 |
Correct |
187 ms |
8488 KB |
Output is correct |
52 |
Correct |
102 ms |
8956 KB |
Output is correct |
53 |
Correct |
75 ms |
9284 KB |
Output is correct |
54 |
Correct |
343 ms |
9092 KB |
Output is correct |
55 |
Correct |
88 ms |
8516 KB |
Output is correct |
56 |
Correct |
159 ms |
8716 KB |
Output is correct |
57 |
Correct |
83 ms |
8476 KB |
Output is correct |
58 |
Correct |
1659 ms |
8492 KB |
Output is correct |
59 |
Correct |
1776 ms |
8868 KB |
Output is correct |
60 |
Correct |
1613 ms |
8444 KB |
Output is correct |
61 |
Correct |
1677 ms |
8716 KB |
Output is correct |
62 |
Correct |
1595 ms |
8368 KB |
Output is correct |
63 |
Correct |
1791 ms |
9064 KB |
Output is correct |
64 |
Correct |
1500 ms |
8188 KB |
Output is correct |
65 |
Correct |
0 ms |
204 KB |
Output is correct |
66 |
Correct |
0 ms |
204 KB |
Output is correct |
67 |
Correct |
1661 ms |
8372 KB |
Output is correct |
68 |
Correct |
1680 ms |
8344 KB |
Output is correct |
69 |
Correct |
1446 ms |
7536 KB |
Output is correct |
70 |
Correct |
1580 ms |
8044 KB |
Output is correct |
71 |
Correct |
1602 ms |
8048 KB |
Output is correct |
72 |
Correct |
1558 ms |
7940 KB |
Output is correct |
73 |
Correct |
1495 ms |
7804 KB |
Output is correct |
74 |
Correct |
1665 ms |
8324 KB |
Output is correct |
75 |
Correct |
1623 ms |
8020 KB |
Output is correct |
76 |
Correct |
1698 ms |
8352 KB |
Output is correct |
77 |
Correct |
276 ms |
8984 KB |
Output is correct |
78 |
Correct |
96 ms |
8448 KB |
Output is correct |
79 |
Correct |
196 ms |
8304 KB |
Output is correct |
80 |
Correct |
203 ms |
8504 KB |
Output is correct |
81 |
Correct |
186 ms |
8132 KB |
Output is correct |
82 |
Correct |
164 ms |
8916 KB |
Output is correct |
83 |
Correct |
129 ms |
8524 KB |
Output is correct |
84 |
Correct |
1026 ms |
9024 KB |
Output is correct |
85 |
Correct |
1694 ms |
8708 KB |
Output is correct |
86 |
Correct |
155 ms |
2508 KB |
Output is correct |
87 |
Correct |
135 ms |
2508 KB |
Output is correct |
88 |
Correct |
1816 ms |
8732 KB |
Output is correct |
89 |
Correct |
463 ms |
3940 KB |
Output is correct |
90 |
Correct |
136 ms |
2588 KB |
Output is correct |