#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
#define pb push_back
#define all(x) x.begin() x.end()
#define MOD (1e9+7)
const int N = 1e6;
ll n, k, ans = 1e18;
vector<array<ll, 4>> vv;
ll wh(ll x, ll y, ll d){
x++, y++;
if(x <= 0 || y <= 0) return 0;
ll xd = x / d;
ll yd = y / d;
ll res = (xd * yd >> 1) * d * d;
if(x % (2*d) >= d){
ll y1 = (yd >> 1) * 2 * d;
res += (yd >> 1) * (x % d) * d;
res += (x % d) * min(d, y % (2*d));
}else{
ll y1 = (yd >> 1) * 2 * d;
res += (yd >> 1) * (x % d) * d;
}
if(y % (2*d) >= d){
ll x1 = (xd >> 1) * 2*d;
res += (xd >> 1) * (y % d) * d;
res += (y % d) * min(d, x % (2*d));
}else{
ll x1 = (xd >> 1) * 2*d;
res += x1 / (2*d) * (y % d) * d;
}
return res;
}
void solve(){
cin >> n >> k;
int a = 0;
for(int i = 0; i < k; ++i){
int x1, x2, y1, y2; cin >> x1 >> y1 >> x2 >> y2;
vv.pb({x1-1,y1-1,x2-1,y2-1});
}
for(ll i = 1; i < n; ++i){
if(n % i == 0){
ll c = 0;
for(auto v: vv){
ll white = wh(v[2], v[3], i) - wh(v[0] - 1, v[3], i) - wh(v[2], v[1] - 1, i) + wh(v[0] - 1, v[1] - 1, i);
ll black = (v[2] + 1) * (v[3] + 1) - (v[0]) * (v[3] + 1) - (v[2] + 1) * (v[1]) + (v[0] * v[1]) - white;
ll val = white - black;
c += val;
}
ans = min(ans, c + ((n/i)*(n/i) + 1)/2*i*i);
ans = min(ans, - c + (n/i)*(n/i)/2*i*i);
}
}
cout << ans;
}
int main(){
solve();
return 0;
}
Compilation message
chessboard.cpp: In function 'll wh(ll, ll, ll)':
chessboard.cpp:19:6: warning: unused variable 'y1' [-Wunused-variable]
19 | ll y1 = (yd >> 1) * 2 * d;
| ^~
chessboard.cpp:23:6: warning: unused variable 'y1' [-Wunused-variable]
23 | ll y1 = (yd >> 1) * 2 * d;
| ^~
chessboard.cpp:27:6: warning: unused variable 'x1' [-Wunused-variable]
27 | ll x1 = (xd >> 1) * 2*d;
| ^~
chessboard.cpp: In function 'void solve()':
chessboard.cpp:38:6: warning: unused variable 'a' [-Wunused-variable]
38 | int a = 0;
| ^
# |
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 |
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 |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
72 ms |
2444 KB |
Output is correct |
2 |
Correct |
20 ms |
1400 KB |
Output is correct |
3 |
Correct |
48 ms |
2428 KB |
Output is correct |
4 |
Correct |
48 ms |
2392 KB |
Output is correct |
5 |
Correct |
68 ms |
2376 KB |
Output is correct |
6 |
Correct |
42 ms |
2388 KB |
Output is correct |
7 |
Correct |
9 ms |
596 KB |
Output is correct |
8 |
Correct |
42 ms |
2456 KB |
Output is correct |
9 |
Correct |
106 ms |
4464 KB |
Output is correct |
10 |
Correct |
58 ms |
2364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 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 |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
32 ms |
1356 KB |
Output is correct |
17 |
Correct |
83 ms |
4432 KB |
Output is correct |
18 |
Correct |
115 ms |
4500 KB |
Output is correct |
19 |
Correct |
303 ms |
4436 KB |
Output is correct |
20 |
Correct |
343 ms |
4504 KB |
Output is correct |
21 |
Correct |
80 ms |
4540 KB |
Output is correct |
22 |
Correct |
2 ms |
212 KB |
Output is correct |
23 |
Correct |
86 ms |
2504 KB |
Output is correct |
24 |
Correct |
100 ms |
4472 KB |
Output is correct |
25 |
Correct |
16 ms |
848 KB |
Output is correct |
26 |
Correct |
65 ms |
2388 KB |
Output is correct |
27 |
Correct |
93 ms |
4540 KB |
Output is correct |
28 |
Correct |
109 ms |
4496 KB |
Output is correct |
29 |
Correct |
37 ms |
2432 KB |
Output is correct |
30 |
Correct |
4 ms |
516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
72 ms |
2444 KB |
Output is correct |
2 |
Correct |
20 ms |
1400 KB |
Output is correct |
3 |
Correct |
48 ms |
2428 KB |
Output is correct |
4 |
Correct |
48 ms |
2392 KB |
Output is correct |
5 |
Correct |
68 ms |
2376 KB |
Output is correct |
6 |
Correct |
42 ms |
2388 KB |
Output is correct |
7 |
Correct |
9 ms |
596 KB |
Output is correct |
8 |
Correct |
42 ms |
2456 KB |
Output is correct |
9 |
Correct |
106 ms |
4464 KB |
Output is correct |
10 |
Correct |
58 ms |
2364 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 |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
32 ms |
1356 KB |
Output is correct |
27 |
Correct |
83 ms |
4432 KB |
Output is correct |
28 |
Correct |
115 ms |
4500 KB |
Output is correct |
29 |
Correct |
303 ms |
4436 KB |
Output is correct |
30 |
Correct |
343 ms |
4504 KB |
Output is correct |
31 |
Correct |
80 ms |
4540 KB |
Output is correct |
32 |
Correct |
2 ms |
212 KB |
Output is correct |
33 |
Correct |
86 ms |
2504 KB |
Output is correct |
34 |
Correct |
100 ms |
4472 KB |
Output is correct |
35 |
Correct |
16 ms |
848 KB |
Output is correct |
36 |
Correct |
65 ms |
2388 KB |
Output is correct |
37 |
Correct |
93 ms |
4540 KB |
Output is correct |
38 |
Correct |
109 ms |
4496 KB |
Output is correct |
39 |
Correct |
37 ms |
2432 KB |
Output is correct |
40 |
Correct |
4 ms |
516 KB |
Output is correct |
41 |
Correct |
292 ms |
4520 KB |
Output is correct |
42 |
Correct |
132 ms |
4408 KB |
Output is correct |
43 |
Correct |
221 ms |
4408 KB |
Output is correct |
44 |
Correct |
127 ms |
4424 KB |
Output is correct |
45 |
Correct |
117 ms |
4444 KB |
Output is correct |
46 |
Correct |
335 ms |
4408 KB |
Output is correct |
47 |
Correct |
124 ms |
4408 KB |
Output is correct |
48 |
Correct |
157 ms |
4420 KB |
Output is correct |
49 |
Correct |
122 ms |
4508 KB |
Output is correct |
50 |
Correct |
1361 ms |
4440 KB |
Output is correct |
51 |
Correct |
1402 ms |
5520 KB |
Output is correct |
52 |
Correct |
1337 ms |
5560 KB |
Output is correct |
53 |
Correct |
1397 ms |
5488 KB |
Output is correct |
54 |
Correct |
1293 ms |
5608 KB |
Output is correct |
55 |
Correct |
1458 ms |
5432 KB |
Output is correct |
56 |
Correct |
1259 ms |
5636 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 |
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 |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
72 ms |
2444 KB |
Output is correct |
10 |
Correct |
20 ms |
1400 KB |
Output is correct |
11 |
Correct |
48 ms |
2428 KB |
Output is correct |
12 |
Correct |
48 ms |
2392 KB |
Output is correct |
13 |
Correct |
68 ms |
2376 KB |
Output is correct |
14 |
Correct |
42 ms |
2388 KB |
Output is correct |
15 |
Correct |
9 ms |
596 KB |
Output is correct |
16 |
Correct |
42 ms |
2456 KB |
Output is correct |
17 |
Correct |
106 ms |
4464 KB |
Output is correct |
18 |
Correct |
58 ms |
2364 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 |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
32 ms |
1356 KB |
Output is correct |
35 |
Correct |
83 ms |
4432 KB |
Output is correct |
36 |
Correct |
115 ms |
4500 KB |
Output is correct |
37 |
Correct |
303 ms |
4436 KB |
Output is correct |
38 |
Correct |
343 ms |
4504 KB |
Output is correct |
39 |
Correct |
80 ms |
4540 KB |
Output is correct |
40 |
Correct |
2 ms |
212 KB |
Output is correct |
41 |
Correct |
86 ms |
2504 KB |
Output is correct |
42 |
Correct |
100 ms |
4472 KB |
Output is correct |
43 |
Correct |
16 ms |
848 KB |
Output is correct |
44 |
Correct |
65 ms |
2388 KB |
Output is correct |
45 |
Correct |
93 ms |
4540 KB |
Output is correct |
46 |
Correct |
109 ms |
4496 KB |
Output is correct |
47 |
Correct |
37 ms |
2432 KB |
Output is correct |
48 |
Correct |
4 ms |
516 KB |
Output is correct |
49 |
Correct |
292 ms |
4520 KB |
Output is correct |
50 |
Correct |
132 ms |
4408 KB |
Output is correct |
51 |
Correct |
221 ms |
4408 KB |
Output is correct |
52 |
Correct |
127 ms |
4424 KB |
Output is correct |
53 |
Correct |
117 ms |
4444 KB |
Output is correct |
54 |
Correct |
335 ms |
4408 KB |
Output is correct |
55 |
Correct |
124 ms |
4408 KB |
Output is correct |
56 |
Correct |
157 ms |
4420 KB |
Output is correct |
57 |
Correct |
122 ms |
4508 KB |
Output is correct |
58 |
Correct |
1361 ms |
4440 KB |
Output is correct |
59 |
Correct |
1402 ms |
5520 KB |
Output is correct |
60 |
Correct |
1337 ms |
5560 KB |
Output is correct |
61 |
Correct |
1397 ms |
5488 KB |
Output is correct |
62 |
Correct |
1293 ms |
5608 KB |
Output is correct |
63 |
Correct |
1458 ms |
5432 KB |
Output is correct |
64 |
Correct |
1259 ms |
5636 KB |
Output is correct |
65 |
Correct |
0 ms |
212 KB |
Output is correct |
66 |
Correct |
1 ms |
296 KB |
Output is correct |
67 |
Correct |
1418 ms |
6260 KB |
Output is correct |
68 |
Correct |
1417 ms |
6252 KB |
Output is correct |
69 |
Correct |
1265 ms |
6464 KB |
Output is correct |
70 |
Correct |
1359 ms |
6288 KB |
Output is correct |
71 |
Correct |
1368 ms |
6296 KB |
Output is correct |
72 |
Correct |
1395 ms |
6184 KB |
Output is correct |
73 |
Correct |
1329 ms |
6296 KB |
Output is correct |
74 |
Correct |
1538 ms |
6200 KB |
Output is correct |
75 |
Correct |
1509 ms |
6252 KB |
Output is correct |
76 |
Correct |
1539 ms |
6268 KB |
Output is correct |
77 |
Correct |
305 ms |
6220 KB |
Output is correct |
78 |
Correct |
160 ms |
6092 KB |
Output is correct |
79 |
Correct |
203 ms |
6252 KB |
Output is correct |
80 |
Correct |
209 ms |
6212 KB |
Output is correct |
81 |
Correct |
211 ms |
6224 KB |
Output is correct |
82 |
Correct |
178 ms |
6256 KB |
Output is correct |
83 |
Correct |
153 ms |
6212 KB |
Output is correct |
84 |
Correct |
882 ms |
6204 KB |
Output is correct |
85 |
Correct |
1516 ms |
6244 KB |
Output is correct |
86 |
Correct |
2 ms |
212 KB |
Output is correct |
87 |
Correct |
1 ms |
212 KB |
Output is correct |
88 |
Correct |
1537 ms |
6240 KB |
Output is correct |
89 |
Correct |
294 ms |
1880 KB |
Output is correct |
90 |
Correct |
1 ms |
212 KB |
Output is correct |