# include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 2;
int n, k, a[N], b[N], c[N], d[N];
long long ans = 1e18;
long long white(int n, int m, int x){
int a = n / x, b = m / x;
long long ret = ((a * 1ll * b + 1) / 2) * 1ll * x * x;
if(a % 2 == 0){
ret += ((b + 1) / 2) * 1ll * (n - a * x) * x;
} else {
ret += (b / 2) * 1ll * (n - a * x) * x;
}
if(b % 2 == 0){
ret += ((a + 1) / 2) * 1ll * (m - b * x) * x;
} else {
ret += (a / 2) * 1ll * (m - b * x) * x;
}
if(a % 2 && b % 2)
ret += (n - a * x) * (m - b * x);
return ret;
}
long long black(int n, int m, int x){
int a = n / x, b = m / x;
long long ret = ((a * 1ll * b) / 2) * 1ll * x * x;
if(a % 2 ){
ret += ((b + 1) / 2) * 1ll * (n - a * x) * x;
} else {
ret += (b / 2) * 1ll * (n - a * x) * x;
}
if(b % 2){
ret += ((a + 1) / 2) * 1ll * (m - b * x) * x;
} else {
ret += (a / 2) * 1ll * (m - b * x) * x;
}
if(a % 2 == 0 && b % 2 == 0)
ret += (n - a * x) * (m - b * x);
return ret;
}
long long get(int x){
long long ret1, ret2, cc = n / x;
ret1 = ((cc * cc) / 2) * 1ll * x * x;
ret2 = ((cc * cc + 1) / 2) * 1ll * x * x;
for(int i = 1; i <= k; i ++){
long long wh = white(c[i], d[i], x) - white(a[i] - 1, d[i], x) - white(c[i], b[i] - 1, x) + white(a[i] - 1, b[i] - 1, x);
long long bl = black(c[i], d[i], x) - black(a[i] - 1, d[i], x) - black(c[i], b[i] - 1, x) + black(a[i] - 1, b[i] - 1, x);
ret1 -= (c[i] - a[i] + 1) * 1ll * (d[i] - b[i] + 1) - wh;
ret2 -= (c[i] - a[i] + 1) * 1ll * (d[i] - b[i] + 1) - bl;
}
for(int i = 1; i <= k; i ++){
ret1 += white(c[i], d[i], x) - white(a[i] - 1, d[i], x) - white(c[i], b[i] - 1, x) + white(a[i] - 1, b[i] - 1, x);
ret2 += black(c[i], d[i], x) - black(a[i] - 1, d[i], x) - black(c[i], b[i] - 1, x) + black(a[i] - 1, b[i] - 1, x);
}
return min(ret1, ret2);
}
int main(){
scanf("%d %d", &n, &k);
for(int i = 1; i <= k; i ++){
scanf("%d %d %d %d", a + i, b + i, c + i, d + i);
}
for(int i = 1; i * i <= n; i ++){
if(n % i == 0){
ans = min(ans, get(i));
if(i != 1)
ans = min(ans, get(n / i));
}
}
cout << ans << 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
***/
Compilation message
chessboard.cpp: In function 'int main()':
chessboard.cpp:63:12: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d", &n, &k);
~~~~~^~~~~~~~~~~~~~~~~
chessboard.cpp:66:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d %d %d", a + i, b + i, c + i, d + 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 |
256 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 |
2680 KB |
Output is correct |
2 |
Correct |
12 ms |
888 KB |
Output is correct |
3 |
Correct |
26 ms |
1784 KB |
Output is correct |
4 |
Correct |
27 ms |
1784 KB |
Output is correct |
5 |
Correct |
34 ms |
2292 KB |
Output is correct |
6 |
Correct |
23 ms |
1528 KB |
Output is correct |
7 |
Correct |
6 ms |
504 KB |
Output is correct |
8 |
Correct |
22 ms |
1656 KB |
Output is correct |
9 |
Correct |
56 ms |
3704 KB |
Output is correct |
10 |
Correct |
32 ms |
2140 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 |
2680 KB |
Output is correct |
2 |
Correct |
12 ms |
888 KB |
Output is correct |
3 |
Correct |
26 ms |
1784 KB |
Output is correct |
4 |
Correct |
27 ms |
1784 KB |
Output is correct |
5 |
Correct |
34 ms |
2292 KB |
Output is correct |
6 |
Correct |
23 ms |
1528 KB |
Output is correct |
7 |
Correct |
6 ms |
504 KB |
Output is correct |
8 |
Correct |
22 ms |
1656 KB |
Output is correct |
9 |
Correct |
56 ms |
3704 KB |
Output is correct |
10 |
Correct |
32 ms |
2140 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 |
256 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 |
2680 KB |
Output is correct |
10 |
Correct |
12 ms |
888 KB |
Output is correct |
11 |
Correct |
26 ms |
1784 KB |
Output is correct |
12 |
Correct |
27 ms |
1784 KB |
Output is correct |
13 |
Correct |
34 ms |
2292 KB |
Output is correct |
14 |
Correct |
23 ms |
1528 KB |
Output is correct |
15 |
Correct |
6 ms |
504 KB |
Output is correct |
16 |
Correct |
22 ms |
1656 KB |
Output is correct |
17 |
Correct |
56 ms |
3704 KB |
Output is correct |
18 |
Correct |
32 ms |
2140 KB |
Output is correct |
19 |
Incorrect |
2 ms |
376 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |