#include <bits/stdc++.h>
#define ll long long
#define ull unsigned ll
#define f first
#define s second
#define pii pair<ll,ll>
#define pll pair<ll,ll>
#define pb push_back
#define epb emplace_back
using namespace std;
/*
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
*/
int pos[100001][2];
ll compute_line(ll x1, ll y1, ll x2, ll y2, ll k){
ll u = (x1 / k + y1 / k);
ll v = (x2 / k + y2 / k);
ll a = (x2 - x1 + 1);
ll b = (y2 - y1 + 1);
ll cnt = 0;
if(u % 2 == v % 2){
if(u & 1){
cnt += k * a;
}
else cnt -= k * a;
}
ll c = k - (y2 % k);
if(u & 1){
cnt -= c * a;
}
else cnt += c * a;
ll d = y1 % k;
d++;
if(v & 1) cnt -= d * a;
else cnt += d * a;
return cnt;
}
ll C(ll x1, ll y1, ll x2, ll y2, ll k){
ll X = (x1 / k) ;
ll Y = (y1 / k);
if((X + Y) & 1) return -1;
return 1;
if((x1 / k) == (x2 / k)){
if((y1 / k) == (y2 / k)){
ll x = (x1 / k) + (y1 / k);
if(x % 2) return 0-(x2 - x1 + 1) * (y2 - y1 + 1);
return (x2 - x1 + 1) * (y2 - y1 + 1);
}
return compute_line(x1, y1, x2, y2, k);
}
if(y1 / k == y2 / k)
return compute_line(y1, x2, y2, x2, k);
ll cnt = 0;
cnt += compute_line(x1, y1, x1 / k * k + (k - 1), y2, k);
cnt += compute_line(x2 / k * k, y1, x2, y2, k);
ll v = x2 / k;
v -= x1 / k;
v--;
if(v){
ll j = x1 / k * k + k;
ll nw = compute_line(j, y1, j + k, y2, k);
if(v & 1) cnt += nw;
}
return cnt;
}
int main(){
// freopen("school.in", "r", stdin);
// freopen("school.out", "w", stdout);
ll n, k;
cin >> n >> k;
ll x1[k + 1], x2[k + 1], y1[k + 1], y2[k + 1];
for(int i = 1; i <= k; ++i){
cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
x1[i]--;
y1[i]--;
x2[i]--;
y2[i]--;
}
ll ans = 1e18 + 1;
for(int a = 1; a <n; a++){
if(n % a) continue;
ll v = n / a;
ll cnt = 0;
if(v % 2 == 1)
cnt += v * (v / 2) + (v + 1) / 2;
else cnt = v * v / 2;
cnt *= a * a;
for(int i = 1; i <= k; i++){
cnt -= C(x1[i], y1[i], x2[i], y2[i], a);
}
ans = min(ans, cnt);
}
for(ll a = 1; a <n; a++){
if(n % a) continue;
ll v = n / a;
ll cnt = -1;
if(v % 2 == 1)
cnt += v * (v / 2) + (v + 1) / 2;
else cnt = v * v / 2;
cnt *= a * a;
for(int i = 1; i <= k; i++)
cnt += C(x1[i], y1[i], x2[i], y2[i], a);
ans = min(ans, cnt);
}
cout << ans;
return 0;
}
Compilation message
chessboard.cpp: In function 'long long int compute_line(long long int, long long int, long long int, long long int, long long int)':
chessboard.cpp:29:8: warning: unused variable 'b' [-Wunused-variable]
29 | ll b = (y2 - y1 + 1);
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
64 ms |
2260 KB |
Output is correct |
2 |
Correct |
22 ms |
724 KB |
Output is correct |
3 |
Correct |
47 ms |
1492 KB |
Output is correct |
4 |
Correct |
53 ms |
1620 KB |
Output is correct |
5 |
Correct |
58 ms |
2004 KB |
Output is correct |
6 |
Correct |
41 ms |
1488 KB |
Output is correct |
7 |
Correct |
8 ms |
536 KB |
Output is correct |
8 |
Correct |
38 ms |
1364 KB |
Output is correct |
9 |
Correct |
111 ms |
3028 KB |
Output is correct |
10 |
Correct |
54 ms |
1748 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
29 ms |
1108 KB |
Output is correct |
17 |
Correct |
73 ms |
2924 KB |
Output is correct |
18 |
Correct |
82 ms |
3284 KB |
Output is correct |
19 |
Correct |
137 ms |
3056 KB |
Output is correct |
20 |
Correct |
161 ms |
3284 KB |
Output is correct |
21 |
Correct |
63 ms |
2772 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
40 ms |
1620 KB |
Output is correct |
24 |
Correct |
78 ms |
3108 KB |
Output is correct |
25 |
Correct |
9 ms |
468 KB |
Output is correct |
26 |
Correct |
53 ms |
2056 KB |
Output is correct |
27 |
Correct |
71 ms |
2388 KB |
Output is correct |
28 |
Correct |
81 ms |
3284 KB |
Output is correct |
29 |
Correct |
26 ms |
1236 KB |
Output is correct |
30 |
Correct |
4 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
64 ms |
2260 KB |
Output is correct |
2 |
Correct |
22 ms |
724 KB |
Output is correct |
3 |
Correct |
47 ms |
1492 KB |
Output is correct |
4 |
Correct |
53 ms |
1620 KB |
Output is correct |
5 |
Correct |
58 ms |
2004 KB |
Output is correct |
6 |
Correct |
41 ms |
1488 KB |
Output is correct |
7 |
Correct |
8 ms |
536 KB |
Output is correct |
8 |
Correct |
38 ms |
1364 KB |
Output is correct |
9 |
Correct |
111 ms |
3028 KB |
Output is correct |
10 |
Correct |
54 ms |
1748 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
29 ms |
1108 KB |
Output is correct |
27 |
Correct |
73 ms |
2924 KB |
Output is correct |
28 |
Correct |
82 ms |
3284 KB |
Output is correct |
29 |
Correct |
137 ms |
3056 KB |
Output is correct |
30 |
Correct |
161 ms |
3284 KB |
Output is correct |
31 |
Correct |
63 ms |
2772 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
40 ms |
1620 KB |
Output is correct |
34 |
Correct |
78 ms |
3108 KB |
Output is correct |
35 |
Correct |
9 ms |
468 KB |
Output is correct |
36 |
Correct |
53 ms |
2056 KB |
Output is correct |
37 |
Correct |
71 ms |
2388 KB |
Output is correct |
38 |
Correct |
81 ms |
3284 KB |
Output is correct |
39 |
Correct |
26 ms |
1236 KB |
Output is correct |
40 |
Correct |
4 ms |
340 KB |
Output is correct |
41 |
Incorrect |
127 ms |
2876 KB |
Output isn't correct |
42 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
64 ms |
2260 KB |
Output is correct |
10 |
Correct |
22 ms |
724 KB |
Output is correct |
11 |
Correct |
47 ms |
1492 KB |
Output is correct |
12 |
Correct |
53 ms |
1620 KB |
Output is correct |
13 |
Correct |
58 ms |
2004 KB |
Output is correct |
14 |
Correct |
41 ms |
1488 KB |
Output is correct |
15 |
Correct |
8 ms |
536 KB |
Output is correct |
16 |
Correct |
38 ms |
1364 KB |
Output is correct |
17 |
Correct |
111 ms |
3028 KB |
Output is correct |
18 |
Correct |
54 ms |
1748 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
29 ms |
1108 KB |
Output is correct |
35 |
Correct |
73 ms |
2924 KB |
Output is correct |
36 |
Correct |
82 ms |
3284 KB |
Output is correct |
37 |
Correct |
137 ms |
3056 KB |
Output is correct |
38 |
Correct |
161 ms |
3284 KB |
Output is correct |
39 |
Correct |
63 ms |
2772 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
40 ms |
1620 KB |
Output is correct |
42 |
Correct |
78 ms |
3108 KB |
Output is correct |
43 |
Correct |
9 ms |
468 KB |
Output is correct |
44 |
Correct |
53 ms |
2056 KB |
Output is correct |
45 |
Correct |
71 ms |
2388 KB |
Output is correct |
46 |
Correct |
81 ms |
3284 KB |
Output is correct |
47 |
Correct |
26 ms |
1236 KB |
Output is correct |
48 |
Correct |
4 ms |
340 KB |
Output is correct |
49 |
Incorrect |
127 ms |
2876 KB |
Output isn't correct |
50 |
Halted |
0 ms |
0 KB |
- |