#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
const long long INF = 1e18 + 5;
const int MAXN = 1e6;
const int base = 317;
typedef long long ll;
const ll bs = 1e5 + 1;
const ll mod = 998244353;
#define int ll
ll ans = INF, n, k, xx[N], yy[N], xx1[N], yy1[N];
int fndl(int cor, int x) {
if (cor % x == 0)
return cor;
return (cor / x + 1) * x;
}
int fndr(int cor, int x) {
if (cor % x == x - 1)
return cor;
return (cor / x) * x - 1;
}
void clc(int x, int y, int xx, int yy, ll &res1, ll &res2, int len) {
if (yy < y || xx < x)
return;
int rs1 = 0, rs2 = 0;
int n1 = xx - x + 1, n2 = yy - y + 1;
rs1 = (n1 / len) * (n2 / len) / 2 * len * len;
rs2 = n1 * n2 - rs1;
swap(rs1, rs2);
if ((x / len) % 2 != (y / len) % 2) {
swap(rs1, rs2);
}
res1 += rs1;
res2 += rs2;
}
void clcx(int x, int y, int xx, int yy, ll &res1, ll &res2, int len) {
if (yy < y || xx < x)
return;
int nn = xx - x + 1;
int ne = yy - y + 1;
ll rs1 = (nn / len) / 2 * len * ne,
rs2 = nn * ne - rs1;
swap(rs1, rs2);
if ((x / len) % 2 != (y / len) % 2)
swap(rs1, rs2);
res1 += rs1;
res2 += rs2;
}
void clcy(int x, int y, int xx, int yy, ll &res1, ll &res2, int len) {
if (yy < y || xx < x)
return;
int nn = yy - y + 1;
int ne = xx - x + 1;
ll rs1 = (nn / len) / 2 * len * ne,
rs2 = nn * ne - rs1;
swap(rs1, rs2);
if ((x / len) % 2 != (y / len) % 2)
swap(rs1, rs2);
res1 += rs1;
res2 += rs2;
}
void clc_cor(int x, int y, int xx, int yy, ll &res1, ll &res2, int len) {
if (yy < y || xx < x)
return;
if ((x / len) % 2 == (y / len) % 2) {
res1 += (xx - x + 1) * (yy - y + 1);
} else {
res2 += (xx - x + 1) * (yy - y + 1);
}
}
ll calc(ll x) {
ll res1 = 0, res2 = 0;
for (int i = 1; i <= k; i++) {
int x1 = fndl(xx[i], x),
y1 = fndl(yy[i], x),
x2 = fndr(xx1[i], x),
y2 = fndr(yy1[i], x);
if (x1 > x2 && y1 > y2) {
clc_cor(xx[i], yy[i], xx1[i], yy1[i], res1, res2, x);
continue;
}
clc(x1, y1, x2, y2, res1, res2, x);
clcx(x1, yy[i], x2, y1 - 1, res1, res2, x);
clcx(x1, y2 + 1, x2, yy1[i], res1, res2, x);
clcy(xx[i], y1, x1 - 1, y2, res1, res2, x);
clcy(x2 + 1, y1, xx1[i], y2, res1, res2, x);
if (x1 > xx[i] && y1 > yy[i])
clc_cor(xx[i], yy[i], x1 - 1, y1 - 1, res1, res2, x);
if (x2 < xx1[i] && y1 > yy[i])
clc_cor(x2 + 1, yy[i], xx1[i], y1 - 1, res1, res2, x);
if (xx[i] < x1 && yy1[i] > y2)
clc_cor(xx[i], y2 + 1, x1 - 1, yy1[i], res1, res2, x);
if (x2 < xx1[i] && yy1[i] > y2)
clc_cor(x2 + 1, y2 + 1, xx1[i], yy1[i], res1, res2, x);
}
ll c1 = (n / x) * (n / x) / 2 * x * x;
ll c2 = n * n - c1;
return min(c1 - res2 + res1, c2 - res1 + res2);
}
main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
for (int i = 1; i <= k; i++) {
cin >> xx[i] >> yy[i] >> xx1[i] >> yy1[i];
xx[i]--;
yy[i]--;
xx1[i]--;
yy1[i]--;
}
for (int i = 1; i <= sqrt(n); i++) {
if (n % i == 0) {
ans = min(ans, calc(i));
if (i != 1)
ans = min(ans, calc(n / i));
}
}
cout << ans;
return 0;
}
/*
*/
Compilation message
chessboard.cpp:114:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main() {
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
500 KB |
Output is correct |
3 |
Correct |
2 ms |
528 KB |
Output is correct |
4 |
Correct |
2 ms |
528 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
2 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
2 ms |
664 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
2460 KB |
Output is correct |
2 |
Correct |
9 ms |
2460 KB |
Output is correct |
3 |
Correct |
19 ms |
2460 KB |
Output is correct |
4 |
Correct |
21 ms |
2460 KB |
Output is correct |
5 |
Correct |
26 ms |
2460 KB |
Output is correct |
6 |
Correct |
17 ms |
2460 KB |
Output is correct |
7 |
Correct |
5 ms |
2460 KB |
Output is correct |
8 |
Correct |
18 ms |
2460 KB |
Output is correct |
9 |
Correct |
42 ms |
3408 KB |
Output is correct |
10 |
Correct |
24 ms |
3408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3408 KB |
Output is correct |
2 |
Correct |
2 ms |
3408 KB |
Output is correct |
3 |
Correct |
2 ms |
3408 KB |
Output is correct |
4 |
Correct |
3 ms |
3408 KB |
Output is correct |
5 |
Correct |
2 ms |
3408 KB |
Output is correct |
6 |
Correct |
2 ms |
3408 KB |
Output is correct |
7 |
Correct |
2 ms |
3408 KB |
Output is correct |
8 |
Correct |
2 ms |
3408 KB |
Output is correct |
9 |
Correct |
2 ms |
3408 KB |
Output is correct |
10 |
Correct |
2 ms |
3408 KB |
Output is correct |
11 |
Correct |
2 ms |
3408 KB |
Output is correct |
12 |
Correct |
2 ms |
3408 KB |
Output is correct |
13 |
Correct |
2 ms |
3408 KB |
Output is correct |
14 |
Correct |
3 ms |
3408 KB |
Output is correct |
15 |
Correct |
2 ms |
3408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3408 KB |
Output is correct |
2 |
Correct |
2 ms |
3408 KB |
Output is correct |
3 |
Correct |
2 ms |
3408 KB |
Output is correct |
4 |
Correct |
3 ms |
3408 KB |
Output is correct |
5 |
Correct |
2 ms |
3408 KB |
Output is correct |
6 |
Correct |
2 ms |
3408 KB |
Output is correct |
7 |
Correct |
2 ms |
3408 KB |
Output is correct |
8 |
Correct |
2 ms |
3408 KB |
Output is correct |
9 |
Correct |
2 ms |
3408 KB |
Output is correct |
10 |
Correct |
2 ms |
3408 KB |
Output is correct |
11 |
Correct |
2 ms |
3408 KB |
Output is correct |
12 |
Correct |
2 ms |
3408 KB |
Output is correct |
13 |
Correct |
2 ms |
3408 KB |
Output is correct |
14 |
Correct |
3 ms |
3408 KB |
Output is correct |
15 |
Correct |
2 ms |
3408 KB |
Output is correct |
16 |
Correct |
17 ms |
3408 KB |
Output is correct |
17 |
Correct |
34 ms |
3408 KB |
Output is correct |
18 |
Correct |
54 ms |
3680 KB |
Output is correct |
19 |
Correct |
210 ms |
3680 KB |
Output is correct |
20 |
Correct |
245 ms |
3808 KB |
Output is correct |
21 |
Correct |
33 ms |
3808 KB |
Output is correct |
22 |
Correct |
2 ms |
3808 KB |
Output is correct |
23 |
Correct |
38 ms |
3808 KB |
Output is correct |
24 |
Correct |
52 ms |
3808 KB |
Output is correct |
25 |
Correct |
9 ms |
3808 KB |
Output is correct |
26 |
Correct |
32 ms |
3808 KB |
Output is correct |
27 |
Correct |
49 ms |
3808 KB |
Output is correct |
28 |
Correct |
53 ms |
3808 KB |
Output is correct |
29 |
Correct |
14 ms |
3808 KB |
Output is correct |
30 |
Correct |
3 ms |
3808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
2460 KB |
Output is correct |
2 |
Correct |
9 ms |
2460 KB |
Output is correct |
3 |
Correct |
19 ms |
2460 KB |
Output is correct |
4 |
Correct |
21 ms |
2460 KB |
Output is correct |
5 |
Correct |
26 ms |
2460 KB |
Output is correct |
6 |
Correct |
17 ms |
2460 KB |
Output is correct |
7 |
Correct |
5 ms |
2460 KB |
Output is correct |
8 |
Correct |
18 ms |
2460 KB |
Output is correct |
9 |
Correct |
42 ms |
3408 KB |
Output is correct |
10 |
Correct |
24 ms |
3408 KB |
Output is correct |
11 |
Correct |
2 ms |
3408 KB |
Output is correct |
12 |
Correct |
2 ms |
3408 KB |
Output is correct |
13 |
Correct |
2 ms |
3408 KB |
Output is correct |
14 |
Correct |
3 ms |
3408 KB |
Output is correct |
15 |
Correct |
2 ms |
3408 KB |
Output is correct |
16 |
Correct |
2 ms |
3408 KB |
Output is correct |
17 |
Correct |
2 ms |
3408 KB |
Output is correct |
18 |
Correct |
2 ms |
3408 KB |
Output is correct |
19 |
Correct |
2 ms |
3408 KB |
Output is correct |
20 |
Correct |
2 ms |
3408 KB |
Output is correct |
21 |
Correct |
2 ms |
3408 KB |
Output is correct |
22 |
Correct |
2 ms |
3408 KB |
Output is correct |
23 |
Correct |
2 ms |
3408 KB |
Output is correct |
24 |
Correct |
3 ms |
3408 KB |
Output is correct |
25 |
Correct |
2 ms |
3408 KB |
Output is correct |
26 |
Correct |
17 ms |
3408 KB |
Output is correct |
27 |
Correct |
34 ms |
3408 KB |
Output is correct |
28 |
Correct |
54 ms |
3680 KB |
Output is correct |
29 |
Correct |
210 ms |
3680 KB |
Output is correct |
30 |
Correct |
245 ms |
3808 KB |
Output is correct |
31 |
Correct |
33 ms |
3808 KB |
Output is correct |
32 |
Correct |
2 ms |
3808 KB |
Output is correct |
33 |
Correct |
38 ms |
3808 KB |
Output is correct |
34 |
Correct |
52 ms |
3808 KB |
Output is correct |
35 |
Correct |
9 ms |
3808 KB |
Output is correct |
36 |
Correct |
32 ms |
3808 KB |
Output is correct |
37 |
Correct |
49 ms |
3808 KB |
Output is correct |
38 |
Correct |
53 ms |
3808 KB |
Output is correct |
39 |
Correct |
14 ms |
3808 KB |
Output is correct |
40 |
Correct |
3 ms |
3808 KB |
Output is correct |
41 |
Correct |
170 ms |
3808 KB |
Output is correct |
42 |
Correct |
56 ms |
3808 KB |
Output is correct |
43 |
Correct |
106 ms |
3808 KB |
Output is correct |
44 |
Correct |
56 ms |
3808 KB |
Output is correct |
45 |
Correct |
43 ms |
3808 KB |
Output is correct |
46 |
Correct |
190 ms |
3808 KB |
Output is correct |
47 |
Correct |
38 ms |
3808 KB |
Output is correct |
48 |
Correct |
77 ms |
3808 KB |
Output is correct |
49 |
Correct |
50 ms |
3808 KB |
Output is correct |
50 |
Correct |
879 ms |
3808 KB |
Output is correct |
51 |
Correct |
925 ms |
3808 KB |
Output is correct |
52 |
Correct |
860 ms |
3808 KB |
Output is correct |
53 |
Correct |
915 ms |
3808 KB |
Output is correct |
54 |
Correct |
854 ms |
3808 KB |
Output is correct |
55 |
Correct |
1014 ms |
3808 KB |
Output is correct |
56 |
Correct |
824 ms |
3808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
500 KB |
Output is correct |
3 |
Correct |
2 ms |
528 KB |
Output is correct |
4 |
Correct |
2 ms |
528 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
2 ms |
664 KB |
Output is correct |
7 |
Correct |
2 ms |
664 KB |
Output is correct |
8 |
Correct |
2 ms |
664 KB |
Output is correct |
9 |
Correct |
28 ms |
2460 KB |
Output is correct |
10 |
Correct |
9 ms |
2460 KB |
Output is correct |
11 |
Correct |
19 ms |
2460 KB |
Output is correct |
12 |
Correct |
21 ms |
2460 KB |
Output is correct |
13 |
Correct |
26 ms |
2460 KB |
Output is correct |
14 |
Correct |
17 ms |
2460 KB |
Output is correct |
15 |
Correct |
5 ms |
2460 KB |
Output is correct |
16 |
Correct |
18 ms |
2460 KB |
Output is correct |
17 |
Correct |
42 ms |
3408 KB |
Output is correct |
18 |
Correct |
24 ms |
3408 KB |
Output is correct |
19 |
Correct |
2 ms |
3408 KB |
Output is correct |
20 |
Correct |
2 ms |
3408 KB |
Output is correct |
21 |
Correct |
2 ms |
3408 KB |
Output is correct |
22 |
Correct |
3 ms |
3408 KB |
Output is correct |
23 |
Correct |
2 ms |
3408 KB |
Output is correct |
24 |
Correct |
2 ms |
3408 KB |
Output is correct |
25 |
Correct |
2 ms |
3408 KB |
Output is correct |
26 |
Correct |
2 ms |
3408 KB |
Output is correct |
27 |
Correct |
2 ms |
3408 KB |
Output is correct |
28 |
Correct |
2 ms |
3408 KB |
Output is correct |
29 |
Correct |
2 ms |
3408 KB |
Output is correct |
30 |
Correct |
2 ms |
3408 KB |
Output is correct |
31 |
Correct |
2 ms |
3408 KB |
Output is correct |
32 |
Correct |
3 ms |
3408 KB |
Output is correct |
33 |
Correct |
2 ms |
3408 KB |
Output is correct |
34 |
Correct |
17 ms |
3408 KB |
Output is correct |
35 |
Correct |
34 ms |
3408 KB |
Output is correct |
36 |
Correct |
54 ms |
3680 KB |
Output is correct |
37 |
Correct |
210 ms |
3680 KB |
Output is correct |
38 |
Correct |
245 ms |
3808 KB |
Output is correct |
39 |
Correct |
33 ms |
3808 KB |
Output is correct |
40 |
Correct |
2 ms |
3808 KB |
Output is correct |
41 |
Correct |
38 ms |
3808 KB |
Output is correct |
42 |
Correct |
52 ms |
3808 KB |
Output is correct |
43 |
Correct |
9 ms |
3808 KB |
Output is correct |
44 |
Correct |
32 ms |
3808 KB |
Output is correct |
45 |
Correct |
49 ms |
3808 KB |
Output is correct |
46 |
Correct |
53 ms |
3808 KB |
Output is correct |
47 |
Correct |
14 ms |
3808 KB |
Output is correct |
48 |
Correct |
3 ms |
3808 KB |
Output is correct |
49 |
Correct |
170 ms |
3808 KB |
Output is correct |
50 |
Correct |
56 ms |
3808 KB |
Output is correct |
51 |
Correct |
106 ms |
3808 KB |
Output is correct |
52 |
Correct |
56 ms |
3808 KB |
Output is correct |
53 |
Correct |
43 ms |
3808 KB |
Output is correct |
54 |
Correct |
190 ms |
3808 KB |
Output is correct |
55 |
Correct |
38 ms |
3808 KB |
Output is correct |
56 |
Correct |
77 ms |
3808 KB |
Output is correct |
57 |
Correct |
50 ms |
3808 KB |
Output is correct |
58 |
Correct |
879 ms |
3808 KB |
Output is correct |
59 |
Correct |
925 ms |
3808 KB |
Output is correct |
60 |
Correct |
860 ms |
3808 KB |
Output is correct |
61 |
Correct |
915 ms |
3808 KB |
Output is correct |
62 |
Correct |
854 ms |
3808 KB |
Output is correct |
63 |
Correct |
1014 ms |
3808 KB |
Output is correct |
64 |
Correct |
824 ms |
3808 KB |
Output is correct |
65 |
Correct |
2 ms |
3808 KB |
Output is correct |
66 |
Correct |
2 ms |
3808 KB |
Output is correct |
67 |
Incorrect |
1080 ms |
3808 KB |
Output isn't correct |
68 |
Halted |
0 ms |
0 KB |
- |