#include <bits/stdc++.h>
#define fr first
#define sc second
#define mk make_pair
#define pb emplace_back
#define all(s) s.begin(), s.end()
using namespace std;
const int N = 1e5 + 5;
int m, x1[N], yy1[N], x2[N], y2[N];
long long n, ans = 1e18;
long long compute (int j1, int j2, long long bl)
{
if (j1 / bl == j2 / bl)
{
if (j1 / bl & 1)
return (j2 - j1 + 1);
return 0ll;
}
long long res = 0;
if (j1 / bl & 1)
res += (j1 / bl * bl + bl - j1);
j1 = j1 / bl * bl + bl;
if (j2 / bl & 1)
res += (j2 % bl + 1);
j2 = j2 / bl * bl - 1;
long long cn = (j2 / bl - j1 / bl + 1) / 2;
if ( ((j2 / bl - j1 / bl + 1) & 1) && (j2 / bl & 1) )
cn++;
res += cn * bl;
return res;
}
long long get (int i1, int j1, int i2, int j2, long long bl)
{
long long res = 0, cn1 = compute( j1, j2, bl ), cn2 = (j2 - j1 + 1) - cn1;
if (i1 / bl == i2 / bl)
{
if (i1 / bl & 1)
res += cn1 * (i2 - i1 + 1);
else
res += cn2 * (i2 - i1 + 1);
}
else
{
if (i1 / bl & 1)
res += cn1 * (i1 / bl * bl + bl - i1);
else
res += cn2 * (i1 / bl * bl + bl - i1);
i1 = i1 / bl * bl + bl;
if (i2 / bl & 1)
res += cn1 * (i2 % bl + 1);
else
res += cn2 * (i2 % bl + 1);
i2 = i2 / bl * bl - 1;
long long cn = (i2 / bl - i1 / bl + 1) / 2;
if ( (i2 / bl - i1 / bl + 1) & 1 )
{
if ( i1 / bl % 2 == 0 )
{
res += (cn + 1) * cn2 * bl;
res += cn * cn1 * bl;
}
else
{
res += (cn + 1) * cn1 * bl;
res += cn * cn2 * bl;
}
}
else
{
res += cn * cn1 * bl;
res += cn * cn2 * bl;
}
}
return res;
}
void calc (long long x)
{
long long res = get(0, 0, n - 1, n - 1, x) ;
for (int i = 1; i <= m; i++)
{
long long sup = get( x1[i], yy1[i], x2[i], y2[i], x);
res -= sup;
res += ( (x2[i] - x1[i] + 1) * 1ll * (y2[i] - yy1[i] + 1) - sup);
}
ans = min(ans, res);
ans = min(ans, n * n - res);
}
main()
{
cin >> n >> m;
for (int i = 1; i <= m; i++)
{
scanf("%d %d %d %d", &x1[i], &yy1[i], &x2[i], &y2[i]);
x1[i]--;
yy1[i]--;
x2[i]--;
y2[i]--;
}
for (long long i = 1; i * i <= n; i++)
{
if ( n % i != 0 ) continue;
calc(i);
if (n / i != n)
calc(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:112:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main()
^
chessboard.cpp: In function 'int main()':
chessboard.cpp:117:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d %d %d", &x1[i], &yy1[i], &x2[i], &y2[i]);
~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
256 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
256 KB |
Output is correct |
6 |
Correct |
2 ms |
256 KB |
Output is correct |
7 |
Correct |
2 ms |
256 KB |
Output is correct |
8 |
Correct |
2 ms |
380 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
2552 KB |
Output is correct |
2 |
Correct |
10 ms |
760 KB |
Output is correct |
3 |
Correct |
21 ms |
1748 KB |
Output is correct |
4 |
Correct |
22 ms |
1832 KB |
Output is correct |
5 |
Correct |
27 ms |
2396 KB |
Output is correct |
6 |
Correct |
18 ms |
1656 KB |
Output is correct |
7 |
Correct |
5 ms |
504 KB |
Output is correct |
8 |
Correct |
18 ms |
1528 KB |
Output is correct |
9 |
Correct |
44 ms |
2936 KB |
Output is correct |
10 |
Correct |
26 ms |
2108 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
380 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
380 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
3 ms |
380 KB |
Output is correct |
14 |
Correct |
2 ms |
376 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
3 ms |
380 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
380 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
3 ms |
380 KB |
Output is correct |
14 |
Correct |
2 ms |
376 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
16 |
Correct |
17 ms |
1016 KB |
Output is correct |
17 |
Correct |
35 ms |
2808 KB |
Output is correct |
18 |
Correct |
52 ms |
3064 KB |
Output is correct |
19 |
Correct |
175 ms |
2808 KB |
Output is correct |
20 |
Correct |
195 ms |
3064 KB |
Output is correct |
21 |
Correct |
34 ms |
2936 KB |
Output is correct |
22 |
Correct |
14 ms |
376 KB |
Output is correct |
23 |
Correct |
34 ms |
1656 KB |
Output is correct |
24 |
Correct |
48 ms |
2808 KB |
Output is correct |
25 |
Correct |
8 ms |
504 KB |
Output is correct |
26 |
Correct |
32 ms |
1964 KB |
Output is correct |
27 |
Correct |
47 ms |
2424 KB |
Output is correct |
28 |
Correct |
50 ms |
2976 KB |
Output is correct |
29 |
Correct |
15 ms |
1272 KB |
Output is correct |
30 |
Correct |
3 ms |
380 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
2552 KB |
Output is correct |
2 |
Correct |
10 ms |
760 KB |
Output is correct |
3 |
Correct |
21 ms |
1748 KB |
Output is correct |
4 |
Correct |
22 ms |
1832 KB |
Output is correct |
5 |
Correct |
27 ms |
2396 KB |
Output is correct |
6 |
Correct |
18 ms |
1656 KB |
Output is correct |
7 |
Correct |
5 ms |
504 KB |
Output is correct |
8 |
Correct |
18 ms |
1528 KB |
Output is correct |
9 |
Correct |
44 ms |
2936 KB |
Output is correct |
10 |
Correct |
26 ms |
2108 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
3 ms |
380 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
2 ms |
376 KB |
Output is correct |
18 |
Correct |
2 ms |
380 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
376 KB |
Output is correct |
23 |
Correct |
3 ms |
380 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
17 ms |
1016 KB |
Output is correct |
27 |
Correct |
35 ms |
2808 KB |
Output is correct |
28 |
Correct |
52 ms |
3064 KB |
Output is correct |
29 |
Correct |
175 ms |
2808 KB |
Output is correct |
30 |
Correct |
195 ms |
3064 KB |
Output is correct |
31 |
Correct |
34 ms |
2936 KB |
Output is correct |
32 |
Correct |
14 ms |
376 KB |
Output is correct |
33 |
Correct |
34 ms |
1656 KB |
Output is correct |
34 |
Correct |
48 ms |
2808 KB |
Output is correct |
35 |
Correct |
8 ms |
504 KB |
Output is correct |
36 |
Correct |
32 ms |
1964 KB |
Output is correct |
37 |
Correct |
47 ms |
2424 KB |
Output is correct |
38 |
Correct |
50 ms |
2976 KB |
Output is correct |
39 |
Correct |
15 ms |
1272 KB |
Output is correct |
40 |
Correct |
3 ms |
380 KB |
Output is correct |
41 |
Correct |
149 ms |
2808 KB |
Output is correct |
42 |
Correct |
56 ms |
2892 KB |
Output is correct |
43 |
Correct |
90 ms |
2808 KB |
Output is correct |
44 |
Correct |
54 ms |
2936 KB |
Output is correct |
45 |
Correct |
47 ms |
2936 KB |
Output is correct |
46 |
Correct |
167 ms |
2936 KB |
Output is correct |
47 |
Correct |
42 ms |
2776 KB |
Output is correct |
48 |
Correct |
76 ms |
2808 KB |
Output is correct |
49 |
Correct |
53 ms |
2808 KB |
Output is correct |
50 |
Correct |
775 ms |
2936 KB |
Output is correct |
51 |
Correct |
793 ms |
2936 KB |
Output is correct |
52 |
Correct |
730 ms |
2824 KB |
Output is correct |
53 |
Correct |
789 ms |
2908 KB |
Output is correct |
54 |
Correct |
715 ms |
2808 KB |
Output is correct |
55 |
Correct |
814 ms |
3064 KB |
Output is correct |
56 |
Correct |
707 ms |
2748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
256 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
256 KB |
Output is correct |
6 |
Correct |
2 ms |
256 KB |
Output is correct |
7 |
Correct |
2 ms |
256 KB |
Output is correct |
8 |
Correct |
2 ms |
380 KB |
Output is correct |
9 |
Correct |
31 ms |
2552 KB |
Output is correct |
10 |
Correct |
10 ms |
760 KB |
Output is correct |
11 |
Correct |
21 ms |
1748 KB |
Output is correct |
12 |
Correct |
22 ms |
1832 KB |
Output is correct |
13 |
Correct |
27 ms |
2396 KB |
Output is correct |
14 |
Correct |
18 ms |
1656 KB |
Output is correct |
15 |
Correct |
5 ms |
504 KB |
Output is correct |
16 |
Correct |
18 ms |
1528 KB |
Output is correct |
17 |
Correct |
44 ms |
2936 KB |
Output is correct |
18 |
Correct |
26 ms |
2108 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
3 ms |
380 KB |
Output is correct |
23 |
Correct |
3 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
2 ms |
380 KB |
Output is correct |
27 |
Correct |
2 ms |
376 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
2 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
376 KB |
Output is correct |
31 |
Correct |
3 ms |
380 KB |
Output is correct |
32 |
Correct |
2 ms |
376 KB |
Output is correct |
33 |
Correct |
2 ms |
376 KB |
Output is correct |
34 |
Correct |
17 ms |
1016 KB |
Output is correct |
35 |
Correct |
35 ms |
2808 KB |
Output is correct |
36 |
Correct |
52 ms |
3064 KB |
Output is correct |
37 |
Correct |
175 ms |
2808 KB |
Output is correct |
38 |
Correct |
195 ms |
3064 KB |
Output is correct |
39 |
Correct |
34 ms |
2936 KB |
Output is correct |
40 |
Correct |
14 ms |
376 KB |
Output is correct |
41 |
Correct |
34 ms |
1656 KB |
Output is correct |
42 |
Correct |
48 ms |
2808 KB |
Output is correct |
43 |
Correct |
8 ms |
504 KB |
Output is correct |
44 |
Correct |
32 ms |
1964 KB |
Output is correct |
45 |
Correct |
47 ms |
2424 KB |
Output is correct |
46 |
Correct |
50 ms |
2976 KB |
Output is correct |
47 |
Correct |
15 ms |
1272 KB |
Output is correct |
48 |
Correct |
3 ms |
380 KB |
Output is correct |
49 |
Correct |
149 ms |
2808 KB |
Output is correct |
50 |
Correct |
56 ms |
2892 KB |
Output is correct |
51 |
Correct |
90 ms |
2808 KB |
Output is correct |
52 |
Correct |
54 ms |
2936 KB |
Output is correct |
53 |
Correct |
47 ms |
2936 KB |
Output is correct |
54 |
Correct |
167 ms |
2936 KB |
Output is correct |
55 |
Correct |
42 ms |
2776 KB |
Output is correct |
56 |
Correct |
76 ms |
2808 KB |
Output is correct |
57 |
Correct |
53 ms |
2808 KB |
Output is correct |
58 |
Correct |
775 ms |
2936 KB |
Output is correct |
59 |
Correct |
793 ms |
2936 KB |
Output is correct |
60 |
Correct |
730 ms |
2824 KB |
Output is correct |
61 |
Correct |
789 ms |
2908 KB |
Output is correct |
62 |
Correct |
715 ms |
2808 KB |
Output is correct |
63 |
Correct |
814 ms |
3064 KB |
Output is correct |
64 |
Correct |
707 ms |
2748 KB |
Output is correct |
65 |
Correct |
2 ms |
376 KB |
Output is correct |
66 |
Correct |
2 ms |
376 KB |
Output is correct |
67 |
Correct |
851 ms |
2936 KB |
Output is correct |
68 |
Correct |
854 ms |
2936 KB |
Output is correct |
69 |
Correct |
723 ms |
2780 KB |
Output is correct |
70 |
Correct |
784 ms |
2808 KB |
Output is correct |
71 |
Correct |
807 ms |
2824 KB |
Output is correct |
72 |
Correct |
771 ms |
2680 KB |
Output is correct |
73 |
Correct |
798 ms |
2680 KB |
Output is correct |
74 |
Correct |
860 ms |
2844 KB |
Output is correct |
75 |
Correct |
799 ms |
2808 KB |
Output is correct |
76 |
Correct |
869 ms |
2936 KB |
Output is correct |
77 |
Correct |
144 ms |
2936 KB |
Output is correct |
78 |
Correct |
59 ms |
2808 KB |
Output is correct |
79 |
Correct |
107 ms |
2680 KB |
Output is correct |
80 |
Correct |
109 ms |
2680 KB |
Output is correct |
81 |
Correct |
103 ms |
2684 KB |
Output is correct |
82 |
Correct |
89 ms |
2880 KB |
Output is correct |
83 |
Correct |
71 ms |
2740 KB |
Output is correct |
84 |
Correct |
513 ms |
2904 KB |
Output is correct |
85 |
Correct |
906 ms |
3064 KB |
Output is correct |
86 |
Correct |
3 ms |
376 KB |
Output is correct |
87 |
Correct |
2 ms |
256 KB |
Output is correct |
88 |
Correct |
911 ms |
3156 KB |
Output is correct |
89 |
Correct |
180 ms |
1104 KB |
Output is correct |
90 |
Correct |
2 ms |
376 KB |
Output is correct |