#include<bits/stdc++.h>
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
using namespace std;
#pragma GCC optimize ("unroll-loops,Ofast,O3")
#pragma GCC target("avx,avx2,fma")
#define F first
#define S second
#define sz(x) (int)x.size()
#define pb push_back
#define int long long
#define eb emplace_back
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define NFS ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0) ;
#define file(s) if (fopen(s".in", "r")) freopen(s".in", "r", stdin), freopen(s".out", "w", stdout)
//#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
typedef long long ll;
const int E = 1e6+777;
const long long inf = 1e18+777;
const int N = 1e5+777;
const int MOD = 1e9+7;
vector<int> div(int x){
vector<int> res = {1};
for(int i = 2; i <= x / 2; ++i){
if(x % i == 0){
res.pb(i);
}
}
return res;
}
struct block{
int x1, y1, x2, y2;
void read(){
cin >> x1 >> y1 >> x2 >> y2;
}
}a[N];
int n, k;
int get1(){
int b[N][2]{};
for(int i = 1; i <= k; ++i){
++b[a[i].x1][a[i].y1&1];
}
int cnt1 = n * n / 2 + (n & 1);
int cnt2 = n * n - cnt1;
int sum1 = 0, sum2 = 0;
for(int i = 1; i <= n; ++i){
if(i & 1){
sum1 += b[i][1];
sum2 += b[i][0];
}else{
sum1 += b[i][0];
sum2 += b[i][1];
}
}
return min(cnt1 - sum1 + sum2, cnt2 - sum2 + sum1);
}
int pref[2111][2111], ar[2111][2111];
void precalc(){
for(int l = 1; l <= k; ++l){
ar[a[l].x1][a[l].y1] = 1;
}
pref[1][1] = ar[1][1];
for(int i = 2; i <= n; i++) {
pref[i][1] = pref[i-1][1] + ar[i][1];
}
for(int i = 2; i <= n; i++) {
pref[1][i] = pref[1][i-1] + ar[1][i];
}
for (int i = 2; i <= n; i++) {
for (int j = 2; j <= n; j++) {
pref[i][j] = pref[i-1][j] + pref[i][j-1] - pref[i-1][j-1] + ar[i][j];
}
}
}
long long query(int x1, int y1, int x2, int y2) {
return pref[x2][y2] - pref[x1 - 1][y2] - pref[x2][y1 - 1] + pref[x1 - 1][y1 - 1];
}
int get2(vector<int> &d, int res = LLONG_MAX){
precalc();
for(auto x : d){
int sum1 = 0, sum2 = 0, cnt1 = 0, cnt2 = 0;
bool ok = 1;
for(int i = 1; i <= n; i += x){
for(int j = 1; j <= n; j += x){
int x1 = i, y1 = j, x2 = i + x - 1, y2 = j + x - 1;
int cur = query(x1, y1, x2, y2);
if(ok & 1){
sum1 += cur;
cnt1 += x * x;
}else{
sum2 += cur;
cnt2 += x * x;
}
ok ^= 1;
}
if((n / x) % 2 == 0) ok ^= 1;
}
res = min({res, cnt1 - sum1 + sum2, cnt2 - sum2 + sum1});
}
return res;
}
main(){
cin >> n >> k;
for(int i = 1; i <= k; ++i){
a[i].read();
}
vector<int> d = div(n);
if(sz(d) == 1){
cout << get1() << '\n';
}else{
cout << get2(d);
}
};
Compilation message
chessboard.cpp:106:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
106 | main(){
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1868 KB |
Output is correct |
2 |
Correct |
1 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
716 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
1 ms |
1868 KB |
Output is correct |
6 |
Correct |
1 ms |
716 KB |
Output is correct |
7 |
Correct |
1 ms |
716 KB |
Output is correct |
8 |
Correct |
1 ms |
716 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
3812 KB |
Output is correct |
2 |
Correct |
16 ms |
2380 KB |
Output is correct |
3 |
Correct |
46 ms |
3032 KB |
Output is correct |
4 |
Correct |
41 ms |
3268 KB |
Output is correct |
5 |
Correct |
64 ms |
3456 KB |
Output is correct |
6 |
Correct |
39 ms |
2836 KB |
Output is correct |
7 |
Correct |
8 ms |
1996 KB |
Output is correct |
8 |
Correct |
38 ms |
2856 KB |
Output is correct |
9 |
Correct |
95 ms |
4632 KB |
Output is correct |
10 |
Correct |
58 ms |
3368 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
972 KB |
Output is correct |
2 |
Correct |
1 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
972 KB |
Output is correct |
4 |
Correct |
1 ms |
972 KB |
Output is correct |
5 |
Correct |
1 ms |
972 KB |
Output is correct |
6 |
Correct |
1 ms |
972 KB |
Output is correct |
7 |
Correct |
1 ms |
1100 KB |
Output is correct |
8 |
Correct |
1 ms |
844 KB |
Output is correct |
9 |
Correct |
1 ms |
1100 KB |
Output is correct |
10 |
Correct |
1 ms |
1800 KB |
Output is correct |
11 |
Correct |
1 ms |
844 KB |
Output is correct |
12 |
Correct |
1 ms |
1868 KB |
Output is correct |
13 |
Correct |
1 ms |
844 KB |
Output is correct |
14 |
Correct |
1 ms |
972 KB |
Output is correct |
15 |
Correct |
1 ms |
716 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
972 KB |
Output is correct |
2 |
Correct |
1 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
972 KB |
Output is correct |
4 |
Correct |
1 ms |
972 KB |
Output is correct |
5 |
Correct |
1 ms |
972 KB |
Output is correct |
6 |
Correct |
1 ms |
972 KB |
Output is correct |
7 |
Correct |
1 ms |
1100 KB |
Output is correct |
8 |
Correct |
1 ms |
844 KB |
Output is correct |
9 |
Correct |
1 ms |
1100 KB |
Output is correct |
10 |
Correct |
1 ms |
1800 KB |
Output is correct |
11 |
Correct |
1 ms |
844 KB |
Output is correct |
12 |
Correct |
1 ms |
1868 KB |
Output is correct |
13 |
Correct |
1 ms |
844 KB |
Output is correct |
14 |
Correct |
1 ms |
972 KB |
Output is correct |
15 |
Correct |
1 ms |
716 KB |
Output is correct |
16 |
Correct |
36 ms |
22320 KB |
Output is correct |
17 |
Correct |
68 ms |
4472 KB |
Output is correct |
18 |
Correct |
94 ms |
26640 KB |
Output is correct |
19 |
Correct |
87 ms |
24968 KB |
Output is correct |
20 |
Correct |
96 ms |
25264 KB |
Output is correct |
21 |
Correct |
67 ms |
4328 KB |
Output is correct |
22 |
Correct |
11 ms |
13772 KB |
Output is correct |
23 |
Correct |
46 ms |
23760 KB |
Output is correct |
24 |
Correct |
90 ms |
26436 KB |
Output is correct |
25 |
Correct |
19 ms |
21196 KB |
Output is correct |
26 |
Correct |
59 ms |
23684 KB |
Output is correct |
27 |
Correct |
70 ms |
24464 KB |
Output is correct |
28 |
Correct |
93 ms |
25156 KB |
Output is correct |
29 |
Correct |
39 ms |
2872 KB |
Output is correct |
30 |
Correct |
19 ms |
18252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
3812 KB |
Output is correct |
2 |
Correct |
16 ms |
2380 KB |
Output is correct |
3 |
Correct |
46 ms |
3032 KB |
Output is correct |
4 |
Correct |
41 ms |
3268 KB |
Output is correct |
5 |
Correct |
64 ms |
3456 KB |
Output is correct |
6 |
Correct |
39 ms |
2836 KB |
Output is correct |
7 |
Correct |
8 ms |
1996 KB |
Output is correct |
8 |
Correct |
38 ms |
2856 KB |
Output is correct |
9 |
Correct |
95 ms |
4632 KB |
Output is correct |
10 |
Correct |
58 ms |
3368 KB |
Output is correct |
11 |
Correct |
1 ms |
972 KB |
Output is correct |
12 |
Correct |
1 ms |
716 KB |
Output is correct |
13 |
Correct |
1 ms |
972 KB |
Output is correct |
14 |
Correct |
1 ms |
972 KB |
Output is correct |
15 |
Correct |
1 ms |
972 KB |
Output is correct |
16 |
Correct |
1 ms |
972 KB |
Output is correct |
17 |
Correct |
1 ms |
1100 KB |
Output is correct |
18 |
Correct |
1 ms |
844 KB |
Output is correct |
19 |
Correct |
1 ms |
1100 KB |
Output is correct |
20 |
Correct |
1 ms |
1800 KB |
Output is correct |
21 |
Correct |
1 ms |
844 KB |
Output is correct |
22 |
Correct |
1 ms |
1868 KB |
Output is correct |
23 |
Correct |
1 ms |
844 KB |
Output is correct |
24 |
Correct |
1 ms |
972 KB |
Output is correct |
25 |
Correct |
1 ms |
716 KB |
Output is correct |
26 |
Correct |
36 ms |
22320 KB |
Output is correct |
27 |
Correct |
68 ms |
4472 KB |
Output is correct |
28 |
Correct |
94 ms |
26640 KB |
Output is correct |
29 |
Correct |
87 ms |
24968 KB |
Output is correct |
30 |
Correct |
96 ms |
25264 KB |
Output is correct |
31 |
Correct |
67 ms |
4328 KB |
Output is correct |
32 |
Correct |
11 ms |
13772 KB |
Output is correct |
33 |
Correct |
46 ms |
23760 KB |
Output is correct |
34 |
Correct |
90 ms |
26436 KB |
Output is correct |
35 |
Correct |
19 ms |
21196 KB |
Output is correct |
36 |
Correct |
59 ms |
23684 KB |
Output is correct |
37 |
Correct |
70 ms |
24464 KB |
Output is correct |
38 |
Correct |
93 ms |
25156 KB |
Output is correct |
39 |
Correct |
39 ms |
2872 KB |
Output is correct |
40 |
Correct |
19 ms |
18252 KB |
Output is correct |
41 |
Runtime error |
94 ms |
5672 KB |
Execution killed with signal 11 |
42 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1868 KB |
Output is correct |
2 |
Correct |
1 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
716 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
1 ms |
1868 KB |
Output is correct |
6 |
Correct |
1 ms |
716 KB |
Output is correct |
7 |
Correct |
1 ms |
716 KB |
Output is correct |
8 |
Correct |
1 ms |
716 KB |
Output is correct |
9 |
Correct |
65 ms |
3812 KB |
Output is correct |
10 |
Correct |
16 ms |
2380 KB |
Output is correct |
11 |
Correct |
46 ms |
3032 KB |
Output is correct |
12 |
Correct |
41 ms |
3268 KB |
Output is correct |
13 |
Correct |
64 ms |
3456 KB |
Output is correct |
14 |
Correct |
39 ms |
2836 KB |
Output is correct |
15 |
Correct |
8 ms |
1996 KB |
Output is correct |
16 |
Correct |
38 ms |
2856 KB |
Output is correct |
17 |
Correct |
95 ms |
4632 KB |
Output is correct |
18 |
Correct |
58 ms |
3368 KB |
Output is correct |
19 |
Correct |
1 ms |
972 KB |
Output is correct |
20 |
Correct |
1 ms |
716 KB |
Output is correct |
21 |
Correct |
1 ms |
972 KB |
Output is correct |
22 |
Correct |
1 ms |
972 KB |
Output is correct |
23 |
Correct |
1 ms |
972 KB |
Output is correct |
24 |
Correct |
1 ms |
972 KB |
Output is correct |
25 |
Correct |
1 ms |
1100 KB |
Output is correct |
26 |
Correct |
1 ms |
844 KB |
Output is correct |
27 |
Correct |
1 ms |
1100 KB |
Output is correct |
28 |
Correct |
1 ms |
1800 KB |
Output is correct |
29 |
Correct |
1 ms |
844 KB |
Output is correct |
30 |
Correct |
1 ms |
1868 KB |
Output is correct |
31 |
Correct |
1 ms |
844 KB |
Output is correct |
32 |
Correct |
1 ms |
972 KB |
Output is correct |
33 |
Correct |
1 ms |
716 KB |
Output is correct |
34 |
Correct |
36 ms |
22320 KB |
Output is correct |
35 |
Correct |
68 ms |
4472 KB |
Output is correct |
36 |
Correct |
94 ms |
26640 KB |
Output is correct |
37 |
Correct |
87 ms |
24968 KB |
Output is correct |
38 |
Correct |
96 ms |
25264 KB |
Output is correct |
39 |
Correct |
67 ms |
4328 KB |
Output is correct |
40 |
Correct |
11 ms |
13772 KB |
Output is correct |
41 |
Correct |
46 ms |
23760 KB |
Output is correct |
42 |
Correct |
90 ms |
26436 KB |
Output is correct |
43 |
Correct |
19 ms |
21196 KB |
Output is correct |
44 |
Correct |
59 ms |
23684 KB |
Output is correct |
45 |
Correct |
70 ms |
24464 KB |
Output is correct |
46 |
Correct |
93 ms |
25156 KB |
Output is correct |
47 |
Correct |
39 ms |
2872 KB |
Output is correct |
48 |
Correct |
19 ms |
18252 KB |
Output is correct |
49 |
Runtime error |
94 ms |
5672 KB |
Execution killed with signal 11 |
50 |
Halted |
0 ms |
0 KB |
- |