#include <bits/stdc++.h>
#define N 100050
#define f first
#define s second
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
ll n, k, x[N], y[N], xf[N], yf[N];
long long ans = (2000000000000000000ll);
vector<ll> d;
inline ll conta(ll x, ll y, ll r)
{
x ++, y ++;
ll tx = (x/r), ty = (y/r);
int rx = (tx % 2 == 0 ? 1 : 0), ry = (ty % 2 == 0 ? 1 : 0);
ll xo = ((tx + 1)/2)*r + (rx ? x % r : 0);
ll xi = (x - xo);
ll yo = ((ty + 1)/2)*r + (ry ? y % r : 0);
ll yi = (y - yo);
return xo*yo + xi*yi;
}
inline ll custo(ll xi, ll yi, ll xii, ll yii, ll r)
{
ll C = conta(xii, yii, r) - conta(xi - 1, yii, r) - conta(xii, yi - 1, r) + conta(xi - 1, yi - 1, r);
return C;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>k;
for(int i = 1; i <= k; i++) cin>>x[i]>>y[i]>>xf[i]>>yf[i];
for(int i = 1; i <= k; i++)
{
x[i] --, y[i] --, xf[i] --, yf[i] --;
if(x[i] > xf[i]) swap(x[i], xf[i]);
if(y[i] > yf[i]) swap(y[i], yf[i]);
}
for(int i = 1; i <= sqrt(n); i++)
{
if((n % i) != 0) continue;
d.push_back(i);
if(i != n/i) d.push_back(n/i);
}
for(auto r: d)
{
ll pretocerto = 0, pretoerrado = 0, tot;
if(r == n) continue;
tot = ( ((n/r) * (n/r)) + 1LL)/2LL;
tot = (tot * r * r);
for(int i = 1; i <= k; i++)
{
ll S = custo(x[i], y[i], xf[i], yf[i], r);
//cout<<"CUSTO "<<x[i]<<" "<<y[i]<<" "<<xf[i]<<" "<<yf[i]<<" = "<<S<<"\n";
pretocerto += S;
pretoerrado += (xf[i] - x[i] + 1) * (yf[i] - y[i] + 1) - S;
}
ans = min(ans, tot - pretocerto + pretoerrado);
tot = ( ((n/r) * (n/r)))/2LL;
tot = (tot * r * r);
ans = min(ans, tot + pretocerto - pretoerrado);
}
cout<<ans<<"\n";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
248 KB |
Output is correct |
| 2 |
Correct |
2 ms |
484 KB |
Output is correct |
| 3 |
Correct |
2 ms |
484 KB |
Output is correct |
| 4 |
Correct |
2 ms |
484 KB |
Output is correct |
| 5 |
Correct |
2 ms |
484 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
596 KB |
Output is correct |
| 8 |
Correct |
3 ms |
656 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
35 ms |
2480 KB |
Output is correct |
| 2 |
Correct |
13 ms |
2480 KB |
Output is correct |
| 3 |
Correct |
23 ms |
2480 KB |
Output is correct |
| 4 |
Correct |
38 ms |
2480 KB |
Output is correct |
| 5 |
Correct |
44 ms |
2480 KB |
Output is correct |
| 6 |
Correct |
32 ms |
2480 KB |
Output is correct |
| 7 |
Correct |
8 ms |
2480 KB |
Output is correct |
| 8 |
Correct |
21 ms |
2480 KB |
Output is correct |
| 9 |
Correct |
56 ms |
3436 KB |
Output is correct |
| 10 |
Correct |
31 ms |
3436 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 2 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 4 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 5 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 6 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 7 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 8 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 9 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 10 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 11 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 12 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 13 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 14 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 15 |
Correct |
4 ms |
3436 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 2 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 4 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 5 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 6 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 7 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 8 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 9 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 10 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 11 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 12 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 13 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 14 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 15 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 16 |
Correct |
23 ms |
3436 KB |
Output is correct |
| 17 |
Correct |
48 ms |
3436 KB |
Output is correct |
| 18 |
Correct |
61 ms |
3708 KB |
Output is correct |
| 19 |
Correct |
249 ms |
3708 KB |
Output is correct |
| 20 |
Correct |
285 ms |
3836 KB |
Output is correct |
| 21 |
Correct |
36 ms |
3836 KB |
Output is correct |
| 22 |
Correct |
3 ms |
3836 KB |
Output is correct |
| 23 |
Correct |
43 ms |
3836 KB |
Output is correct |
| 24 |
Correct |
57 ms |
3836 KB |
Output is correct |
| 25 |
Correct |
11 ms |
3836 KB |
Output is correct |
| 26 |
Correct |
56 ms |
3836 KB |
Output is correct |
| 27 |
Correct |
84 ms |
3836 KB |
Output is correct |
| 28 |
Correct |
58 ms |
3836 KB |
Output is correct |
| 29 |
Correct |
27 ms |
3836 KB |
Output is correct |
| 30 |
Correct |
4 ms |
3836 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
35 ms |
2480 KB |
Output is correct |
| 2 |
Correct |
13 ms |
2480 KB |
Output is correct |
| 3 |
Correct |
23 ms |
2480 KB |
Output is correct |
| 4 |
Correct |
38 ms |
2480 KB |
Output is correct |
| 5 |
Correct |
44 ms |
2480 KB |
Output is correct |
| 6 |
Correct |
32 ms |
2480 KB |
Output is correct |
| 7 |
Correct |
8 ms |
2480 KB |
Output is correct |
| 8 |
Correct |
21 ms |
2480 KB |
Output is correct |
| 9 |
Correct |
56 ms |
3436 KB |
Output is correct |
| 10 |
Correct |
31 ms |
3436 KB |
Output is correct |
| 11 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 12 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 13 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 14 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 15 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 16 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 17 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 18 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 19 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 21 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 22 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 23 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 24 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 25 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 26 |
Correct |
23 ms |
3436 KB |
Output is correct |
| 27 |
Correct |
48 ms |
3436 KB |
Output is correct |
| 28 |
Correct |
61 ms |
3708 KB |
Output is correct |
| 29 |
Correct |
249 ms |
3708 KB |
Output is correct |
| 30 |
Correct |
285 ms |
3836 KB |
Output is correct |
| 31 |
Correct |
36 ms |
3836 KB |
Output is correct |
| 32 |
Correct |
3 ms |
3836 KB |
Output is correct |
| 33 |
Correct |
43 ms |
3836 KB |
Output is correct |
| 34 |
Correct |
57 ms |
3836 KB |
Output is correct |
| 35 |
Correct |
11 ms |
3836 KB |
Output is correct |
| 36 |
Correct |
56 ms |
3836 KB |
Output is correct |
| 37 |
Correct |
84 ms |
3836 KB |
Output is correct |
| 38 |
Correct |
58 ms |
3836 KB |
Output is correct |
| 39 |
Correct |
27 ms |
3836 KB |
Output is correct |
| 40 |
Correct |
4 ms |
3836 KB |
Output is correct |
| 41 |
Correct |
217 ms |
3836 KB |
Output is correct |
| 42 |
Correct |
73 ms |
3836 KB |
Output is correct |
| 43 |
Correct |
110 ms |
3836 KB |
Output is correct |
| 44 |
Correct |
99 ms |
3836 KB |
Output is correct |
| 45 |
Correct |
60 ms |
3836 KB |
Output is correct |
| 46 |
Correct |
271 ms |
3836 KB |
Output is correct |
| 47 |
Correct |
48 ms |
3836 KB |
Output is correct |
| 48 |
Correct |
96 ms |
3836 KB |
Output is correct |
| 49 |
Correct |
60 ms |
3836 KB |
Output is correct |
| 50 |
Correct |
1042 ms |
3836 KB |
Output is correct |
| 51 |
Correct |
1028 ms |
3836 KB |
Output is correct |
| 52 |
Correct |
1002 ms |
3836 KB |
Output is correct |
| 53 |
Correct |
1169 ms |
3836 KB |
Output is correct |
| 54 |
Correct |
1051 ms |
3836 KB |
Output is correct |
| 55 |
Correct |
1151 ms |
3836 KB |
Output is correct |
| 56 |
Correct |
1053 ms |
3836 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
248 KB |
Output is correct |
| 2 |
Correct |
2 ms |
484 KB |
Output is correct |
| 3 |
Correct |
2 ms |
484 KB |
Output is correct |
| 4 |
Correct |
2 ms |
484 KB |
Output is correct |
| 5 |
Correct |
2 ms |
484 KB |
Output is correct |
| 6 |
Correct |
2 ms |
484 KB |
Output is correct |
| 7 |
Correct |
3 ms |
596 KB |
Output is correct |
| 8 |
Correct |
3 ms |
656 KB |
Output is correct |
| 9 |
Correct |
35 ms |
2480 KB |
Output is correct |
| 10 |
Correct |
13 ms |
2480 KB |
Output is correct |
| 11 |
Correct |
23 ms |
2480 KB |
Output is correct |
| 12 |
Correct |
38 ms |
2480 KB |
Output is correct |
| 13 |
Correct |
44 ms |
2480 KB |
Output is correct |
| 14 |
Correct |
32 ms |
2480 KB |
Output is correct |
| 15 |
Correct |
8 ms |
2480 KB |
Output is correct |
| 16 |
Correct |
21 ms |
2480 KB |
Output is correct |
| 17 |
Correct |
56 ms |
3436 KB |
Output is correct |
| 18 |
Correct |
31 ms |
3436 KB |
Output is correct |
| 19 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 21 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 22 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 23 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 24 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 25 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 26 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 27 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 28 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 29 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 30 |
Correct |
2 ms |
3436 KB |
Output is correct |
| 31 |
Correct |
3 ms |
3436 KB |
Output is correct |
| 32 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 33 |
Correct |
4 ms |
3436 KB |
Output is correct |
| 34 |
Correct |
23 ms |
3436 KB |
Output is correct |
| 35 |
Correct |
48 ms |
3436 KB |
Output is correct |
| 36 |
Correct |
61 ms |
3708 KB |
Output is correct |
| 37 |
Correct |
249 ms |
3708 KB |
Output is correct |
| 38 |
Correct |
285 ms |
3836 KB |
Output is correct |
| 39 |
Correct |
36 ms |
3836 KB |
Output is correct |
| 40 |
Correct |
3 ms |
3836 KB |
Output is correct |
| 41 |
Correct |
43 ms |
3836 KB |
Output is correct |
| 42 |
Correct |
57 ms |
3836 KB |
Output is correct |
| 43 |
Correct |
11 ms |
3836 KB |
Output is correct |
| 44 |
Correct |
56 ms |
3836 KB |
Output is correct |
| 45 |
Correct |
84 ms |
3836 KB |
Output is correct |
| 46 |
Correct |
58 ms |
3836 KB |
Output is correct |
| 47 |
Correct |
27 ms |
3836 KB |
Output is correct |
| 48 |
Correct |
4 ms |
3836 KB |
Output is correct |
| 49 |
Correct |
217 ms |
3836 KB |
Output is correct |
| 50 |
Correct |
73 ms |
3836 KB |
Output is correct |
| 51 |
Correct |
110 ms |
3836 KB |
Output is correct |
| 52 |
Correct |
99 ms |
3836 KB |
Output is correct |
| 53 |
Correct |
60 ms |
3836 KB |
Output is correct |
| 54 |
Correct |
271 ms |
3836 KB |
Output is correct |
| 55 |
Correct |
48 ms |
3836 KB |
Output is correct |
| 56 |
Correct |
96 ms |
3836 KB |
Output is correct |
| 57 |
Correct |
60 ms |
3836 KB |
Output is correct |
| 58 |
Correct |
1042 ms |
3836 KB |
Output is correct |
| 59 |
Correct |
1028 ms |
3836 KB |
Output is correct |
| 60 |
Correct |
1002 ms |
3836 KB |
Output is correct |
| 61 |
Correct |
1169 ms |
3836 KB |
Output is correct |
| 62 |
Correct |
1051 ms |
3836 KB |
Output is correct |
| 63 |
Correct |
1151 ms |
3836 KB |
Output is correct |
| 64 |
Correct |
1053 ms |
3836 KB |
Output is correct |
| 65 |
Correct |
2 ms |
3836 KB |
Output is correct |
| 66 |
Correct |
3 ms |
3836 KB |
Output is correct |
| 67 |
Correct |
1069 ms |
5876 KB |
Output is correct |
| 68 |
Correct |
1037 ms |
8168 KB |
Output is correct |
| 69 |
Correct |
922 ms |
9764 KB |
Output is correct |
| 70 |
Correct |
971 ms |
12136 KB |
Output is correct |
| 71 |
Correct |
929 ms |
14292 KB |
Output is correct |
| 72 |
Correct |
984 ms |
16336 KB |
Output is correct |
| 73 |
Correct |
946 ms |
18328 KB |
Output is correct |
| 74 |
Correct |
1031 ms |
20868 KB |
Output is correct |
| 75 |
Correct |
979 ms |
22840 KB |
Output is correct |
| 76 |
Correct |
1046 ms |
25208 KB |
Output is correct |
| 77 |
Correct |
194 ms |
27836 KB |
Output is correct |
| 78 |
Correct |
70 ms |
29480 KB |
Output is correct |
| 79 |
Correct |
134 ms |
31420 KB |
Output is correct |
| 80 |
Correct |
140 ms |
33580 KB |
Output is correct |
| 81 |
Correct |
115 ms |
35364 KB |
Output is correct |
| 82 |
Correct |
99 ms |
38032 KB |
Output is correct |
| 83 |
Correct |
75 ms |
39812 KB |
Output is correct |
| 84 |
Correct |
615 ms |
42404 KB |
Output is correct |
| 85 |
Correct |
1084 ms |
44968 KB |
Output is correct |
| 86 |
Correct |
4 ms |
44968 KB |
Output is correct |
| 87 |
Correct |
2 ms |
44968 KB |
Output is correct |
| 88 |
Correct |
1067 ms |
47424 KB |
Output is correct |
| 89 |
Correct |
230 ms |
47424 KB |
Output is correct |
| 90 |
Correct |
2 ms |
47424 KB |
Output is correct |
