#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];
ll 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);
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 |
3 ms |
248 KB |
Output is correct |
| 2 |
Correct |
2 ms |
356 KB |
Output is correct |
| 3 |
Correct |
2 ms |
520 KB |
Output is correct |
| 4 |
Correct |
2 ms |
520 KB |
Output is correct |
| 5 |
Correct |
2 ms |
520 KB |
Output is correct |
| 6 |
Correct |
2 ms |
636 KB |
Output is correct |
| 7 |
Correct |
3 ms |
636 KB |
Output is correct |
| 8 |
Correct |
2 ms |
636 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
37 ms |
2480 KB |
Output is correct |
| 2 |
Correct |
10 ms |
2480 KB |
Output is correct |
| 3 |
Correct |
23 ms |
2480 KB |
Output is correct |
| 4 |
Correct |
27 ms |
2480 KB |
Output is correct |
| 5 |
Correct |
31 ms |
2480 KB |
Output is correct |
| 6 |
Correct |
21 ms |
2480 KB |
Output is correct |
| 7 |
Correct |
6 ms |
2480 KB |
Output is correct |
| 8 |
Correct |
22 ms |
2480 KB |
Output is correct |
| 9 |
Correct |
52 ms |
3428 KB |
Output is correct |
| 10 |
Correct |
30 ms |
3428 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 2 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 3 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 4 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 5 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 6 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 7 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 8 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 9 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 10 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 11 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 12 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 13 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 14 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 15 |
Correct |
4 ms |
3428 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 2 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 3 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 4 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 5 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 6 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 7 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 8 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 9 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 10 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 11 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 12 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 13 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 14 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 15 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
22 ms |
3428 KB |
Output is correct |
| 17 |
Correct |
48 ms |
3428 KB |
Output is correct |
| 18 |
Correct |
72 ms |
3696 KB |
Output is correct |
| 19 |
Correct |
250 ms |
3696 KB |
Output is correct |
| 20 |
Correct |
265 ms |
3696 KB |
Output is correct |
| 21 |
Correct |
46 ms |
3696 KB |
Output is correct |
| 22 |
Correct |
3 ms |
3696 KB |
Output is correct |
| 23 |
Correct |
43 ms |
3696 KB |
Output is correct |
| 24 |
Correct |
54 ms |
3696 KB |
Output is correct |
| 25 |
Correct |
11 ms |
3696 KB |
Output is correct |
| 26 |
Correct |
44 ms |
3696 KB |
Output is correct |
| 27 |
Correct |
54 ms |
3696 KB |
Output is correct |
| 28 |
Correct |
68 ms |
3696 KB |
Output is correct |
| 29 |
Correct |
18 ms |
3696 KB |
Output is correct |
| 30 |
Correct |
4 ms |
3696 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
37 ms |
2480 KB |
Output is correct |
| 2 |
Correct |
10 ms |
2480 KB |
Output is correct |
| 3 |
Correct |
23 ms |
2480 KB |
Output is correct |
| 4 |
Correct |
27 ms |
2480 KB |
Output is correct |
| 5 |
Correct |
31 ms |
2480 KB |
Output is correct |
| 6 |
Correct |
21 ms |
2480 KB |
Output is correct |
| 7 |
Correct |
6 ms |
2480 KB |
Output is correct |
| 8 |
Correct |
22 ms |
2480 KB |
Output is correct |
| 9 |
Correct |
52 ms |
3428 KB |
Output is correct |
| 10 |
Correct |
30 ms |
3428 KB |
Output is correct |
| 11 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 12 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 13 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 14 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 15 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 17 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 18 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 21 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 22 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 23 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 24 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 25 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 26 |
Correct |
22 ms |
3428 KB |
Output is correct |
| 27 |
Correct |
48 ms |
3428 KB |
Output is correct |
| 28 |
Correct |
72 ms |
3696 KB |
Output is correct |
| 29 |
Correct |
250 ms |
3696 KB |
Output is correct |
| 30 |
Correct |
265 ms |
3696 KB |
Output is correct |
| 31 |
Correct |
46 ms |
3696 KB |
Output is correct |
| 32 |
Correct |
3 ms |
3696 KB |
Output is correct |
| 33 |
Correct |
43 ms |
3696 KB |
Output is correct |
| 34 |
Correct |
54 ms |
3696 KB |
Output is correct |
| 35 |
Correct |
11 ms |
3696 KB |
Output is correct |
| 36 |
Correct |
44 ms |
3696 KB |
Output is correct |
| 37 |
Correct |
54 ms |
3696 KB |
Output is correct |
| 38 |
Correct |
68 ms |
3696 KB |
Output is correct |
| 39 |
Correct |
18 ms |
3696 KB |
Output is correct |
| 40 |
Correct |
4 ms |
3696 KB |
Output is correct |
| 41 |
Correct |
291 ms |
3696 KB |
Output is correct |
| 42 |
Correct |
70 ms |
3696 KB |
Output is correct |
| 43 |
Correct |
115 ms |
3696 KB |
Output is correct |
| 44 |
Correct |
62 ms |
3696 KB |
Output is correct |
| 45 |
Correct |
60 ms |
3696 KB |
Output is correct |
| 46 |
Correct |
221 ms |
3696 KB |
Output is correct |
| 47 |
Correct |
52 ms |
3696 KB |
Output is correct |
| 48 |
Correct |
102 ms |
3696 KB |
Output is correct |
| 49 |
Correct |
67 ms |
3696 KB |
Output is correct |
| 50 |
Correct |
1022 ms |
3696 KB |
Output is correct |
| 51 |
Correct |
1116 ms |
3708 KB |
Output is correct |
| 52 |
Correct |
1022 ms |
3708 KB |
Output is correct |
| 53 |
Correct |
1118 ms |
3708 KB |
Output is correct |
| 54 |
Correct |
966 ms |
3708 KB |
Output is correct |
| 55 |
Correct |
1096 ms |
3836 KB |
Output is correct |
| 56 |
Correct |
1008 ms |
3836 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
248 KB |
Output is correct |
| 2 |
Correct |
2 ms |
356 KB |
Output is correct |
| 3 |
Correct |
2 ms |
520 KB |
Output is correct |
| 4 |
Correct |
2 ms |
520 KB |
Output is correct |
| 5 |
Correct |
2 ms |
520 KB |
Output is correct |
| 6 |
Correct |
2 ms |
636 KB |
Output is correct |
| 7 |
Correct |
3 ms |
636 KB |
Output is correct |
| 8 |
Correct |
2 ms |
636 KB |
Output is correct |
| 9 |
Correct |
37 ms |
2480 KB |
Output is correct |
| 10 |
Correct |
10 ms |
2480 KB |
Output is correct |
| 11 |
Correct |
23 ms |
2480 KB |
Output is correct |
| 12 |
Correct |
27 ms |
2480 KB |
Output is correct |
| 13 |
Correct |
31 ms |
2480 KB |
Output is correct |
| 14 |
Correct |
21 ms |
2480 KB |
Output is correct |
| 15 |
Correct |
6 ms |
2480 KB |
Output is correct |
| 16 |
Correct |
22 ms |
2480 KB |
Output is correct |
| 17 |
Correct |
52 ms |
3428 KB |
Output is correct |
| 18 |
Correct |
30 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 21 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 22 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 23 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 24 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 25 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 26 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 27 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 28 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 29 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 30 |
Correct |
2 ms |
3428 KB |
Output is correct |
| 31 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 32 |
Correct |
3 ms |
3428 KB |
Output is correct |
| 33 |
Correct |
4 ms |
3428 KB |
Output is correct |
| 34 |
Correct |
22 ms |
3428 KB |
Output is correct |
| 35 |
Correct |
48 ms |
3428 KB |
Output is correct |
| 36 |
Correct |
72 ms |
3696 KB |
Output is correct |
| 37 |
Correct |
250 ms |
3696 KB |
Output is correct |
| 38 |
Correct |
265 ms |
3696 KB |
Output is correct |
| 39 |
Correct |
46 ms |
3696 KB |
Output is correct |
| 40 |
Correct |
3 ms |
3696 KB |
Output is correct |
| 41 |
Correct |
43 ms |
3696 KB |
Output is correct |
| 42 |
Correct |
54 ms |
3696 KB |
Output is correct |
| 43 |
Correct |
11 ms |
3696 KB |
Output is correct |
| 44 |
Correct |
44 ms |
3696 KB |
Output is correct |
| 45 |
Correct |
54 ms |
3696 KB |
Output is correct |
| 46 |
Correct |
68 ms |
3696 KB |
Output is correct |
| 47 |
Correct |
18 ms |
3696 KB |
Output is correct |
| 48 |
Correct |
4 ms |
3696 KB |
Output is correct |
| 49 |
Correct |
291 ms |
3696 KB |
Output is correct |
| 50 |
Correct |
70 ms |
3696 KB |
Output is correct |
| 51 |
Correct |
115 ms |
3696 KB |
Output is correct |
| 52 |
Correct |
62 ms |
3696 KB |
Output is correct |
| 53 |
Correct |
60 ms |
3696 KB |
Output is correct |
| 54 |
Correct |
221 ms |
3696 KB |
Output is correct |
| 55 |
Correct |
52 ms |
3696 KB |
Output is correct |
| 56 |
Correct |
102 ms |
3696 KB |
Output is correct |
| 57 |
Correct |
67 ms |
3696 KB |
Output is correct |
| 58 |
Correct |
1022 ms |
3696 KB |
Output is correct |
| 59 |
Correct |
1116 ms |
3708 KB |
Output is correct |
| 60 |
Correct |
1022 ms |
3708 KB |
Output is correct |
| 61 |
Correct |
1118 ms |
3708 KB |
Output is correct |
| 62 |
Correct |
966 ms |
3708 KB |
Output is correct |
| 63 |
Correct |
1096 ms |
3836 KB |
Output is correct |
| 64 |
Correct |
1008 ms |
3836 KB |
Output is correct |
| 65 |
Correct |
3 ms |
3836 KB |
Output is correct |
| 66 |
Correct |
4 ms |
3836 KB |
Output is correct |
| 67 |
Correct |
1127 ms |
3836 KB |
Output is correct |
| 68 |
Correct |
1077 ms |
3836 KB |
Output is correct |
| 69 |
Correct |
926 ms |
3836 KB |
Output is correct |
| 70 |
Correct |
998 ms |
3836 KB |
Output is correct |
| 71 |
Correct |
926 ms |
3836 KB |
Output is correct |
| 72 |
Correct |
906 ms |
3836 KB |
Output is correct |
| 73 |
Correct |
914 ms |
3836 KB |
Output is correct |
| 74 |
Correct |
1000 ms |
3836 KB |
Output is correct |
| 75 |
Correct |
939 ms |
3836 KB |
Output is correct |
| 76 |
Correct |
1042 ms |
3836 KB |
Output is correct |
| 77 |
Correct |
163 ms |
3836 KB |
Output is correct |
| 78 |
Correct |
70 ms |
3836 KB |
Output is correct |
| 79 |
Correct |
119 ms |
3836 KB |
Output is correct |
| 80 |
Correct |
113 ms |
3836 KB |
Output is correct |
| 81 |
Correct |
129 ms |
3836 KB |
Output is correct |
| 82 |
Correct |
92 ms |
3836 KB |
Output is correct |
| 83 |
Correct |
75 ms |
3836 KB |
Output is correct |
| 84 |
Correct |
598 ms |
3836 KB |
Output is correct |
| 85 |
Correct |
1182 ms |
3836 KB |
Output is correct |
| 86 |
Correct |
3 ms |
3836 KB |
Output is correct |
| 87 |
Correct |
2 ms |
3836 KB |
Output is correct |
| 88 |
Correct |
1117 ms |
3836 KB |
Output is correct |
| 89 |
Correct |
209 ms |
3836 KB |
Output is correct |
| 90 |
Correct |
2 ms |
3836 KB |
Output is correct |
