#include <bits/stdc++.h>
#define fr first
#define sc second
#define pb push_back
#define mk make_pair
#define all(s) s.begin(),s.end()
#define int long long
using namespace std;
const int N = (1e5 + 12);
const int mod = (1e9 + 7);
const int INF = (0x3f3f3f3f);
int ans = 1e18;
int n, k, x[2][N], y[2][N];
int get(int x1, int y1, int x2, int y2, int div,int f){
int blx = (x1 + div - 1) / div, blx2 = (x2 + div - 1) / div;
int bly = (y1 + div - 1) / div, bly2 = (y2 + div - 1) / div;
int res = 0ll, odd, even;
if(blx == blx2){
int val = x2 - x1 + 1;
if(bly != bly2){
int end = (bly + 1) * div - 1;
val = val * (end - y1 + 1);
bly++;
if(bly2 > bly){
int dif = bly2 - bly + 1;
val += dif / 2 * div;
}
int p = (x2 - x1 + 1) * (y2 - y1 + 1);
p = p - val;
if(((bly - 1) + blx) % 2 == f){
res += val;
}
else{
res += p;
}
}
else{
int p = (x2 - x1 + 1) * (y2 - y1 + 1);
if((bly + blx) % 2 == f){
res += p;
}
}
}
else{
int end = (blx + 1) * div - 1;
int odd = end - x1 + 1;
blx++;
if(blx2 > blx){
int dif = blx2 - blx + 1;
odd += dif / 2 * div;
}
if(bly != bly2){
end = (bly + 1) * div - 1;
int val = end - y1 + 1;
val = val * odd;
bly++;
if(bly2 > bly){
int dif = bly2 - bly + 1;
val += dif / 2 * div;
}
int p = (x2 - x1 + 1) * (y2 - y1 + 1);
p = p - val;
if((bly + blx) % 2 == f){
res += val;
}
else{
res += p;
}
}
else{
int p = (y2 - y1 + 1) * odd;
if(((blx - 1) + bly) % 2 == f){
res += p;
}
}
}
return res;
}
void calc(int div){
int bl = n / div, cnt = 0, x1, y1, cnt1 = 0, x2, y2;
if(bl & 1){
cnt += div * div * ((bl + 1) / 2) * ((bl + 1) / 2);
cnt += div * div * (bl / 2) * (bl / 2);
cnt1 = n * n - cnt;
for(int i = 1;i <= k; i++){
x1 = x[0][i];
y1 = y[0][i];
x2 = x[1][i];
y2 = y[1][i];
cnt -= get(x1, y1, x2, y2, 1ll, 0ll);
cnt += get(x1, y1, x2, y2, 1ll, 1ll);
cnt1 += get(x1, y1, x2, y2, 1ll, 0ll);
cnt1 -= get(x1, y1, x2, y2, 1ll, 1ll);
}
ans = min(ans, cnt);
ans = min(ans, cnt1);
}
else{
cnt += div * div * (bl / 2) * bl;
cnt1 = n * n - cnt;
for(int i = 1;i <= k; i++){
x1 = x[0][i];
y1 = y[0][i];
x2 = x[1][i];
y2 = y[1][i];
cnt -= get(x1, y1, x2, y2, 1ll, 0ll);
cnt += get(x1, y1, x2, y2, 1ll, 1ll);
cnt1 += get(x1, y1, x2, y2, 1ll, 0ll);
cnt1 -= get(x1, y1, x2, y2, 1ll, 1ll);
}
ans = min(ans, cnt);
ans = min(ans, cnt1);
}
}
main()
{
cin >> n >> k;
for(int i = 1;i <= k; i++){
scanf("%lld%lld%lld%lld", &x[0][i], &y[0][i], &x[1][i], &y[1][i]);
}
if(n % 2 == 1){
int x1, y1, x2, y2;
int cnt = n * n / 2ll + 1ll, cnt1 = n * n / 2ll;
for(int i = 1;i <= k; i++){
x1 = x[0][i];
y1 = y[0][i];
x2 = x[1][i];
y2 = y[1][i];
cnt -= get(x1, y1, x2, y2, 1ll, 0ll);
cnt += get(x1, y1, x2, y2, 1ll, 1ll);
cnt1 += get(x1, y1, x2, y2, 1ll, 0ll);
cnt1 -= get(x1, y1, x2, y2, 1ll, 1ll);
}
ans = min(ans, cnt);
ans = min(ans, cnt1);
}
else{
int x1, y1,x2, y2;
int cnt = n * n / 2ll, cnt1 = n * n / 2ll;
for(int i = 1;i <= k; i++){
x1 = x[0][i];
y1 = y[0][i];
x2 = x[1][i];
y2 = y[1][i];
cnt -= get(x1, y1, x2, y2, 1ll, 0ll);
cnt += get(x1, y1, x2, y2, 1ll, 1ll);
cnt1 += get(x1, y1, x2, y2, 1ll, 0ll);
cnt1 -= get(x1, y1, x2, y2, 1ll, 1ll);
}
ans = min(ans, cnt);
ans = min(ans, cnt1);
}
for(int i = 2;i * i <= n; i++){
if(n % i == 0){
calc(i);
calc(n / i);
}
}
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
*/
Compilation message
chessboard.cpp: In function 'long long int get(long long int, long long int, long long int, long long int, long long int, long long int)':
chessboard.cpp:22:17: warning: unused variable 'odd' [-Wunused-variable]
int res = 0ll, odd, even;
^~~
chessboard.cpp:22:22: warning: unused variable 'even' [-Wunused-variable]
int res = 0ll, odd, even;
^~~~
chessboard.cpp: At global scope:
chessboard.cpp:122:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main()
^
chessboard.cpp: In function 'int main()':
chessboard.cpp:126:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%lld%lld%lld%lld", &x[0][i], &y[0][i], &x[1][i], &y[1][i]);
~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
256 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
256 KB |
Output is correct |
8 |
Correct |
2 ms |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
38 ms |
2296 KB |
Output is correct |
2 |
Correct |
12 ms |
888 KB |
Output is correct |
3 |
Correct |
25 ms |
1528 KB |
Output is correct |
4 |
Correct |
27 ms |
1788 KB |
Output is correct |
5 |
Correct |
33 ms |
2168 KB |
Output is correct |
6 |
Correct |
22 ms |
1404 KB |
Output is correct |
7 |
Correct |
7 ms |
504 KB |
Output is correct |
8 |
Correct |
23 ms |
1400 KB |
Output is correct |
9 |
Correct |
54 ms |
3192 KB |
Output is correct |
10 |
Correct |
31 ms |
1916 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
38 ms |
2296 KB |
Output is correct |
2 |
Correct |
12 ms |
888 KB |
Output is correct |
3 |
Correct |
25 ms |
1528 KB |
Output is correct |
4 |
Correct |
27 ms |
1788 KB |
Output is correct |
5 |
Correct |
33 ms |
2168 KB |
Output is correct |
6 |
Correct |
22 ms |
1404 KB |
Output is correct |
7 |
Correct |
7 ms |
504 KB |
Output is correct |
8 |
Correct |
23 ms |
1400 KB |
Output is correct |
9 |
Correct |
54 ms |
3192 KB |
Output is correct |
10 |
Correct |
31 ms |
1916 KB |
Output is correct |
11 |
Incorrect |
2 ms |
376 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
256 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
256 KB |
Output is correct |
8 |
Correct |
2 ms |
256 KB |
Output is correct |
9 |
Correct |
38 ms |
2296 KB |
Output is correct |
10 |
Correct |
12 ms |
888 KB |
Output is correct |
11 |
Correct |
25 ms |
1528 KB |
Output is correct |
12 |
Correct |
27 ms |
1788 KB |
Output is correct |
13 |
Correct |
33 ms |
2168 KB |
Output is correct |
14 |
Correct |
22 ms |
1404 KB |
Output is correct |
15 |
Correct |
7 ms |
504 KB |
Output is correct |
16 |
Correct |
23 ms |
1400 KB |
Output is correct |
17 |
Correct |
54 ms |
3192 KB |
Output is correct |
18 |
Correct |
31 ms |
1916 KB |
Output is correct |
19 |
Incorrect |
2 ms |
376 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |