#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#define fi first
#define se second
#define ll long long
using namespace std;
const int N = 1e5 + 7;
const int M = 23;
const int mod = 998244353;
ll n,k;
int A[N];
int B[N];
int C[N];
int D[N];
ll x1, y2, a, b;
ll f( int x , int y , ll div )
{
x1 = y / div;
y2 = x / div;
x1 = x1 * y2 + 1;
x1 /= 2;
x1 *= div * div;
a = y % div;
b = x % div;
if( ((y - 1) / div % 2 == 0 && div > 1) ){
x1 += ((x / div + 1) / 2) * div * a;
}else{
x1 += x / div / 2 * div * a;
}
if( ((x - 1) / div % 2 == 0) ){
x1 += (y / div + 1) / 2 * div * b;
}else{
x1 += y / div / 2 * div * b;
}
if( ((x - 1) / div % 2 == 1 && (y - 1) / div % 2 == 1) || ((x - 1) / div % 2 == 0 && (y - 1) / div % 2 == 0) ){
x1 += (x % div) * (y % div);
}
//cout << x << " " << y << " " << div << " " << x1 << " " << fg[x][y] << "\n";
return x1;
}
void solve1()
{
cin >> n >> k;
vector < ll > div;
for( int i = 1; i < n; i++ ){
if( n % i == 0 )div.push_back(i);
}
for( int i = 0; i < k; i++ ){
cin >> A[i] >> B[i] >> C[i] >> D[i];
}
ll ans = 1e14;
for( int i = 0; i < (int)div.size(); i++ ){
ll nn = n / div[i];
ll fg = div[i] * div[i];
ll B1 = (nn + 1) / 2;
ll B2 = nn / 2;
B1 *= fg;
B2 *= fg;
B1 *= (nn + 1) / 2;
B2 *= nn / 2;
B1 += B2;
ll B3 = (nn) / 2;
ll B4 = (nn + 1) / 2;
B3 *= fg;
B4 *= fg;
B3 *= (nn + 1) / 2;
B4 *= (nn) / 2;
B3 += B4;
vector < ll > w(k , 0);
vector < ll > b(k , 0);
ll x, y;
for( int j = 0; j < k; j++ ){
x = f(C[j] , D[j] , div[i]) - f(C[j] , B[j] - 1 , div[i]) -
f(A[j] - 1, D[j] , div[i]) + f(A[j] - 1 , B[j] - 1 , div[i]);
y = (C[j] - A[j] + 1) * (D[j] - B[j] + 1);
w[j] = y - x;
b[j] = x;
}
x = 0;
y = 0;
//cout << B1 << " " << B3 << "\n";
for( int j = 0; j < k; j++ ){
B1 -= b[j];
x += w[j];
y += b[j];
B3 -= w[j];
//if( div[i] == 1 )cout << b[j] << " ";
}
//cout << "\n";
//cout << B1 + x << " " << B3 + y << " " << div[i] << "\n";
ans = min(ans , B1 + x);
ans = min(ans , B3 + y);
}
cout << ans;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
//freopen( "input.txt" , "r" , stdin );
//freopen( "output.txt" , "w" , stdout );
int cghf = 1;//cin >> cghf;
while( cghf-- ){
solve1();
}
}
# |
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 |
376 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 |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
3064 KB |
Output is correct |
2 |
Correct |
13 ms |
1276 KB |
Output is correct |
3 |
Correct |
30 ms |
2228 KB |
Output is correct |
4 |
Correct |
34 ms |
2424 KB |
Output is correct |
5 |
Correct |
40 ms |
2680 KB |
Output is correct |
6 |
Correct |
26 ms |
2040 KB |
Output is correct |
7 |
Correct |
7 ms |
760 KB |
Output is correct |
8 |
Correct |
26 ms |
2040 KB |
Output is correct |
9 |
Correct |
65 ms |
3800 KB |
Output is correct |
10 |
Correct |
37 ms |
2552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
372 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
4 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
3 ms |
380 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
1 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
4 ms |
376 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
372 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
4 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
3 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
3 ms |
380 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
1 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
4 ms |
376 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
16 |
Correct |
33 ms |
1808 KB |
Output is correct |
17 |
Correct |
52 ms |
3192 KB |
Output is correct |
18 |
Correct |
111 ms |
4088 KB |
Output is correct |
19 |
Correct |
641 ms |
3808 KB |
Output is correct |
20 |
Correct |
719 ms |
4152 KB |
Output is correct |
21 |
Correct |
53 ms |
3576 KB |
Output is correct |
22 |
Correct |
4 ms |
376 KB |
Output is correct |
23 |
Correct |
92 ms |
2348 KB |
Output is correct |
24 |
Correct |
102 ms |
3948 KB |
Output is correct |
25 |
Correct |
20 ms |
816 KB |
Output is correct |
26 |
Correct |
65 ms |
2808 KB |
Output is correct |
27 |
Correct |
113 ms |
3260 KB |
Output is correct |
28 |
Correct |
105 ms |
4012 KB |
Output is correct |
29 |
Correct |
23 ms |
1916 KB |
Output is correct |
30 |
Correct |
5 ms |
476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
3064 KB |
Output is correct |
2 |
Correct |
13 ms |
1276 KB |
Output is correct |
3 |
Correct |
30 ms |
2228 KB |
Output is correct |
4 |
Correct |
34 ms |
2424 KB |
Output is correct |
5 |
Correct |
40 ms |
2680 KB |
Output is correct |
6 |
Correct |
26 ms |
2040 KB |
Output is correct |
7 |
Correct |
7 ms |
760 KB |
Output is correct |
8 |
Correct |
26 ms |
2040 KB |
Output is correct |
9 |
Correct |
65 ms |
3800 KB |
Output is correct |
10 |
Correct |
37 ms |
2552 KB |
Output is correct |
11 |
Correct |
3 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
372 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
4 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
16 |
Correct |
3 ms |
376 KB |
Output is correct |
17 |
Correct |
3 ms |
376 KB |
Output is correct |
18 |
Correct |
3 ms |
380 KB |
Output is correct |
19 |
Correct |
3 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
1 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
376 KB |
Output is correct |
23 |
Correct |
4 ms |
376 KB |
Output is correct |
24 |
Correct |
3 ms |
376 KB |
Output is correct |
25 |
Correct |
3 ms |
376 KB |
Output is correct |
26 |
Correct |
33 ms |
1808 KB |
Output is correct |
27 |
Correct |
52 ms |
3192 KB |
Output is correct |
28 |
Correct |
111 ms |
4088 KB |
Output is correct |
29 |
Correct |
641 ms |
3808 KB |
Output is correct |
30 |
Correct |
719 ms |
4152 KB |
Output is correct |
31 |
Correct |
53 ms |
3576 KB |
Output is correct |
32 |
Correct |
4 ms |
376 KB |
Output is correct |
33 |
Correct |
92 ms |
2348 KB |
Output is correct |
34 |
Correct |
102 ms |
3948 KB |
Output is correct |
35 |
Correct |
20 ms |
816 KB |
Output is correct |
36 |
Correct |
65 ms |
2808 KB |
Output is correct |
37 |
Correct |
113 ms |
3260 KB |
Output is correct |
38 |
Correct |
105 ms |
4012 KB |
Output is correct |
39 |
Correct |
23 ms |
1916 KB |
Output is correct |
40 |
Correct |
5 ms |
476 KB |
Output is correct |
41 |
Correct |
522 ms |
3804 KB |
Output is correct |
42 |
Correct |
115 ms |
3996 KB |
Output is correct |
43 |
Correct |
280 ms |
3760 KB |
Output is correct |
44 |
Correct |
112 ms |
4024 KB |
Output is correct |
45 |
Correct |
68 ms |
4424 KB |
Output is correct |
46 |
Correct |
591 ms |
3996 KB |
Output is correct |
47 |
Correct |
61 ms |
3608 KB |
Output is correct |
48 |
Correct |
198 ms |
3612 KB |
Output is correct |
49 |
Correct |
104 ms |
3548 KB |
Output is correct |
50 |
Execution timed out |
2008 ms |
3968 KB |
Time limit exceeded |
51 |
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 |
376 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 |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
45 ms |
3064 KB |
Output is correct |
10 |
Correct |
13 ms |
1276 KB |
Output is correct |
11 |
Correct |
30 ms |
2228 KB |
Output is correct |
12 |
Correct |
34 ms |
2424 KB |
Output is correct |
13 |
Correct |
40 ms |
2680 KB |
Output is correct |
14 |
Correct |
26 ms |
2040 KB |
Output is correct |
15 |
Correct |
7 ms |
760 KB |
Output is correct |
16 |
Correct |
26 ms |
2040 KB |
Output is correct |
17 |
Correct |
65 ms |
3800 KB |
Output is correct |
18 |
Correct |
37 ms |
2552 KB |
Output is correct |
19 |
Correct |
3 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
372 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
4 ms |
376 KB |
Output is correct |
23 |
Correct |
3 ms |
376 KB |
Output is correct |
24 |
Correct |
3 ms |
376 KB |
Output is correct |
25 |
Correct |
3 ms |
376 KB |
Output is correct |
26 |
Correct |
3 ms |
380 KB |
Output is correct |
27 |
Correct |
3 ms |
376 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
1 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
376 KB |
Output is correct |
31 |
Correct |
4 ms |
376 KB |
Output is correct |
32 |
Correct |
3 ms |
376 KB |
Output is correct |
33 |
Correct |
3 ms |
376 KB |
Output is correct |
34 |
Correct |
33 ms |
1808 KB |
Output is correct |
35 |
Correct |
52 ms |
3192 KB |
Output is correct |
36 |
Correct |
111 ms |
4088 KB |
Output is correct |
37 |
Correct |
641 ms |
3808 KB |
Output is correct |
38 |
Correct |
719 ms |
4152 KB |
Output is correct |
39 |
Correct |
53 ms |
3576 KB |
Output is correct |
40 |
Correct |
4 ms |
376 KB |
Output is correct |
41 |
Correct |
92 ms |
2348 KB |
Output is correct |
42 |
Correct |
102 ms |
3948 KB |
Output is correct |
43 |
Correct |
20 ms |
816 KB |
Output is correct |
44 |
Correct |
65 ms |
2808 KB |
Output is correct |
45 |
Correct |
113 ms |
3260 KB |
Output is correct |
46 |
Correct |
105 ms |
4012 KB |
Output is correct |
47 |
Correct |
23 ms |
1916 KB |
Output is correct |
48 |
Correct |
5 ms |
476 KB |
Output is correct |
49 |
Correct |
522 ms |
3804 KB |
Output is correct |
50 |
Correct |
115 ms |
3996 KB |
Output is correct |
51 |
Correct |
280 ms |
3760 KB |
Output is correct |
52 |
Correct |
112 ms |
4024 KB |
Output is correct |
53 |
Correct |
68 ms |
4424 KB |
Output is correct |
54 |
Correct |
591 ms |
3996 KB |
Output is correct |
55 |
Correct |
61 ms |
3608 KB |
Output is correct |
56 |
Correct |
198 ms |
3612 KB |
Output is correct |
57 |
Correct |
104 ms |
3548 KB |
Output is correct |
58 |
Execution timed out |
2008 ms |
3968 KB |
Time limit exceeded |
59 |
Halted |
0 ms |
0 KB |
- |