#include <bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("-O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#define fi first
#define se second
#define p_b push_back
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define all(x) x.begin(),x.end()
#define sset ordered_set
#define sqr(x) (x)*(x)
#define pw(x) (1ll << x)
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
const ll MAXN = 1123456;
const ll N = 2e5;
mt19937_64 rnd(chrono::system_clock::now().time_since_epoch().count());
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T> void vout(T s){cout << s << endl;exit(0);}
struct rectangle{
ll x1, y1, x2, y2;
};
vector <rectangle> b;
vector <ll> pref, pref1;
ll n, k;
ll f(ll len){
ll kol = n / len;
ll res = 0;
ll S = 0, TrueS = 0;
if(k){
for(auto i : b){
S += (i.x2 - i.x1 + 1) * (i.y2 - i.y1 + 1);
ll old = TrueS;
ll l = i.x1 / len + (i.x1 % len > 0), r = i.x2 / len + (i.x2 % len > 0);
if(l == r){
if(l % 2){
TrueS += (i.x2 - i.x1 + 1) * (pref[i.y2] - pref[i.y1 - 1]);
}
else{
TrueS += (i.x2 - i.x1 + 1) * (pref1[i.y2] - pref1[i.y1 - 1]);
}
}else{
if(l % 2){
TrueS += (l * len + 1 - i.x1) * (pref[i.y2] - pref[i.y1 - 1]);
}else{
TrueS += (l * len + 1 - i.x1) * (pref1[i.y2] - pref1[i.y1 - 1]);
}
if(r % 2){
TrueS += (i.x2 - len * (r - 1)) * (pref[i.y2] - pref[i.y1 - 1]);
}else{
TrueS += (i.x2 - len * (r - 1)) * (pref1[i.y2] - pref1[i.y1 - 1]);
}
if(l + 1 < r){
ll ft = l + 1;
ll Kol = r - l - 1;
if(ft % 2){
TrueS += len * ((pref[i.y2] - pref[i.y1 - 1]) * ((Kol + 1) / 2) + (pref1[i.y2] - pref1[i.y1 - 1]) * (Kol / 2));
}else{
TrueS += len * ((pref1[i.y2] - pref1[i.y1 - 1]) * ((Kol + 1) / 2) + (pref[i.y2] - pref[i.y1 - 1]) * (Kol / 2));
}
}
}
}
}
res += S - TrueS;
res += len * pref[n] * ((kol + 1) / 2) + len * pref1[n] * (kol / 2) - TrueS;
return res;
}
int main(){
ios_base :: sync_with_stdio(0);
cin.tie(0);
cin >> n >> k;
pref.resize(n + 1);
pref1.resize(n + 1);
b.resize(k);
for(int i = 0; i < k; i++)cin >> b[i].x1 >> b[i].y1 >> b[i].x2 >> b[i].y2;
ll ans = 1e18;
for(int i = 1; i < n; i++)if(n % i == 0){
//firstComb
for(int j = 1; j <= n; j++)pref[j] = 0;
for(int j = 1; j <= n; j++)pref1[j] = 1;
ll uk = 1;
while(uk <= n){
for(int j = 1; j <= i; j++)pref[uk + j - 1] = 1;
uk += 2 * i;
}
uk = 1;
while(uk <= n){
for(int j = 1; j <= i; j++)pref1[uk + j - 1] = 0;
uk += 2 * i;
}
for(int j = 1; j <= n; j++)pref[j] += pref[j - 1];
for(int j = 1; j <= n; j++)pref1[j] += pref1[j - 1];
ans = min(ans, f(i));
//secondComb
for(int j = 1; j <= n; j++)pref[j] = 1;
for(int j = 1; j <= n; j++)pref1[j] = 0;
uk = 1;
while(uk <= n){
for(int j = 1; j <= i; j++)pref[uk + j - 1] = 0;
uk += 2 * i;
}
uk = 1;
while(uk <= n){
for(int j = 1; j <= i; j++)pref1[uk + j - 1] = 1;
uk += 2 * i;
}
for(int j = 1; j <= n; j++)pref[j] += pref[j - 1];
for(int j = 1; j <= n; j++)pref1[j] += pref1[j - 1];
ans = min(ans, f(i));
}
cout << ans << "\n";
return 0;
}
Compilation message
chessboard.cpp: In function 'll f(ll)':
chessboard.cpp:50:16: warning: unused variable 'old' [-Wunused-variable]
ll old = TrueS;
^~~
# |
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 |
37 ms |
4728 KB |
Output is correct |
2 |
Correct |
12 ms |
1448 KB |
Output is correct |
3 |
Correct |
29 ms |
3832 KB |
Output is correct |
4 |
Correct |
25 ms |
2724 KB |
Output is correct |
5 |
Correct |
34 ms |
4344 KB |
Output is correct |
6 |
Correct |
23 ms |
3064 KB |
Output is correct |
7 |
Correct |
7 ms |
1144 KB |
Output is correct |
8 |
Correct |
22 ms |
3064 KB |
Output is correct |
9 |
Correct |
52 ms |
5764 KB |
Output is correct |
10 |
Correct |
30 ms |
3704 KB |
Output is correct |
# |
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 |
3 ms |
380 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
504 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
3 ms |
376 KB |
Output is correct |
12 |
Correct |
3 ms |
376 KB |
Output is correct |
13 |
Correct |
3 ms |
420 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
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 |
3 ms |
380 KB |
Output is correct |
4 |
Correct |
3 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
504 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
3 ms |
376 KB |
Output is correct |
12 |
Correct |
3 ms |
376 KB |
Output is correct |
13 |
Correct |
3 ms |
420 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
16 |
Correct |
19 ms |
1656 KB |
Output is correct |
17 |
Correct |
42 ms |
4348 KB |
Output is correct |
18 |
Correct |
67 ms |
5028 KB |
Output is correct |
19 |
Correct |
214 ms |
4600 KB |
Output is correct |
20 |
Correct |
238 ms |
4984 KB |
Output is correct |
21 |
Correct |
39 ms |
4216 KB |
Output is correct |
22 |
Correct |
3 ms |
376 KB |
Output is correct |
23 |
Correct |
41 ms |
2424 KB |
Output is correct |
24 |
Correct |
56 ms |
4600 KB |
Output is correct |
25 |
Correct |
10 ms |
760 KB |
Output is correct |
26 |
Correct |
38 ms |
3064 KB |
Output is correct |
27 |
Correct |
53 ms |
3576 KB |
Output is correct |
28 |
Correct |
60 ms |
4856 KB |
Output is correct |
29 |
Correct |
19 ms |
1912 KB |
Output is correct |
30 |
Correct |
5 ms |
504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
37 ms |
4728 KB |
Output is correct |
2 |
Correct |
12 ms |
1448 KB |
Output is correct |
3 |
Correct |
29 ms |
3832 KB |
Output is correct |
4 |
Correct |
25 ms |
2724 KB |
Output is correct |
5 |
Correct |
34 ms |
4344 KB |
Output is correct |
6 |
Correct |
23 ms |
3064 KB |
Output is correct |
7 |
Correct |
7 ms |
1144 KB |
Output is correct |
8 |
Correct |
22 ms |
3064 KB |
Output is correct |
9 |
Correct |
52 ms |
5764 KB |
Output is correct |
10 |
Correct |
30 ms |
3704 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
3 ms |
380 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
3 ms |
504 KB |
Output is correct |
18 |
Correct |
2 ms |
376 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
3 ms |
376 KB |
Output is correct |
22 |
Correct |
3 ms |
376 KB |
Output is correct |
23 |
Correct |
3 ms |
420 KB |
Output is correct |
24 |
Correct |
3 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
19 ms |
1656 KB |
Output is correct |
27 |
Correct |
42 ms |
4348 KB |
Output is correct |
28 |
Correct |
67 ms |
5028 KB |
Output is correct |
29 |
Correct |
214 ms |
4600 KB |
Output is correct |
30 |
Correct |
238 ms |
4984 KB |
Output is correct |
31 |
Correct |
39 ms |
4216 KB |
Output is correct |
32 |
Correct |
3 ms |
376 KB |
Output is correct |
33 |
Correct |
41 ms |
2424 KB |
Output is correct |
34 |
Correct |
56 ms |
4600 KB |
Output is correct |
35 |
Correct |
10 ms |
760 KB |
Output is correct |
36 |
Correct |
38 ms |
3064 KB |
Output is correct |
37 |
Correct |
53 ms |
3576 KB |
Output is correct |
38 |
Correct |
60 ms |
4856 KB |
Output is correct |
39 |
Correct |
19 ms |
1912 KB |
Output is correct |
40 |
Correct |
5 ms |
504 KB |
Output is correct |
41 |
Correct |
242 ms |
6548 KB |
Output is correct |
42 |
Correct |
80 ms |
7036 KB |
Output is correct |
43 |
Correct |
143 ms |
6520 KB |
Output is correct |
44 |
Correct |
72 ms |
7032 KB |
Output is correct |
45 |
Correct |
59 ms |
7304 KB |
Output is correct |
46 |
Correct |
242 ms |
7096 KB |
Output is correct |
47 |
Correct |
52 ms |
6724 KB |
Output is correct |
48 |
Correct |
100 ms |
6756 KB |
Output is correct |
49 |
Correct |
65 ms |
6520 KB |
Output is correct |
50 |
Correct |
1088 ms |
6720 KB |
Output is correct |
51 |
Correct |
1161 ms |
7148 KB |
Output is correct |
52 |
Correct |
1079 ms |
6672 KB |
Output is correct |
53 |
Correct |
1130 ms |
7032 KB |
Output is correct |
54 |
Correct |
1052 ms |
6648 KB |
Output is correct |
55 |
Correct |
1199 ms |
7240 KB |
Output is correct |
56 |
Correct |
1041 ms |
6452 KB |
Output is correct |
# |
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 |
37 ms |
4728 KB |
Output is correct |
10 |
Correct |
12 ms |
1448 KB |
Output is correct |
11 |
Correct |
29 ms |
3832 KB |
Output is correct |
12 |
Correct |
25 ms |
2724 KB |
Output is correct |
13 |
Correct |
34 ms |
4344 KB |
Output is correct |
14 |
Correct |
23 ms |
3064 KB |
Output is correct |
15 |
Correct |
7 ms |
1144 KB |
Output is correct |
16 |
Correct |
22 ms |
3064 KB |
Output is correct |
17 |
Correct |
52 ms |
5764 KB |
Output is correct |
18 |
Correct |
30 ms |
3704 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
3 ms |
380 KB |
Output is correct |
22 |
Correct |
3 ms |
376 KB |
Output is correct |
23 |
Correct |
3 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
3 ms |
504 KB |
Output is correct |
26 |
Correct |
2 ms |
376 KB |
Output is correct |
27 |
Correct |
2 ms |
376 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
3 ms |
376 KB |
Output is correct |
30 |
Correct |
3 ms |
376 KB |
Output is correct |
31 |
Correct |
3 ms |
420 KB |
Output is correct |
32 |
Correct |
3 ms |
376 KB |
Output is correct |
33 |
Correct |
2 ms |
376 KB |
Output is correct |
34 |
Correct |
19 ms |
1656 KB |
Output is correct |
35 |
Correct |
42 ms |
4348 KB |
Output is correct |
36 |
Correct |
67 ms |
5028 KB |
Output is correct |
37 |
Correct |
214 ms |
4600 KB |
Output is correct |
38 |
Correct |
238 ms |
4984 KB |
Output is correct |
39 |
Correct |
39 ms |
4216 KB |
Output is correct |
40 |
Correct |
3 ms |
376 KB |
Output is correct |
41 |
Correct |
41 ms |
2424 KB |
Output is correct |
42 |
Correct |
56 ms |
4600 KB |
Output is correct |
43 |
Correct |
10 ms |
760 KB |
Output is correct |
44 |
Correct |
38 ms |
3064 KB |
Output is correct |
45 |
Correct |
53 ms |
3576 KB |
Output is correct |
46 |
Correct |
60 ms |
4856 KB |
Output is correct |
47 |
Correct |
19 ms |
1912 KB |
Output is correct |
48 |
Correct |
5 ms |
504 KB |
Output is correct |
49 |
Correct |
242 ms |
6548 KB |
Output is correct |
50 |
Correct |
80 ms |
7036 KB |
Output is correct |
51 |
Correct |
143 ms |
6520 KB |
Output is correct |
52 |
Correct |
72 ms |
7032 KB |
Output is correct |
53 |
Correct |
59 ms |
7304 KB |
Output is correct |
54 |
Correct |
242 ms |
7096 KB |
Output is correct |
55 |
Correct |
52 ms |
6724 KB |
Output is correct |
56 |
Correct |
100 ms |
6756 KB |
Output is correct |
57 |
Correct |
65 ms |
6520 KB |
Output is correct |
58 |
Correct |
1088 ms |
6720 KB |
Output is correct |
59 |
Correct |
1161 ms |
7148 KB |
Output is correct |
60 |
Correct |
1079 ms |
6672 KB |
Output is correct |
61 |
Correct |
1130 ms |
7032 KB |
Output is correct |
62 |
Correct |
1052 ms |
6648 KB |
Output is correct |
63 |
Correct |
1199 ms |
7240 KB |
Output is correct |
64 |
Correct |
1041 ms |
6452 KB |
Output is correct |
65 |
Correct |
3 ms |
504 KB |
Output is correct |
66 |
Correct |
3 ms |
380 KB |
Output is correct |
67 |
Correct |
1250 ms |
6776 KB |
Output is correct |
68 |
Correct |
1206 ms |
6776 KB |
Output is correct |
69 |
Correct |
970 ms |
6200 KB |
Output is correct |
70 |
Correct |
1040 ms |
6904 KB |
Output is correct |
71 |
Correct |
1059 ms |
6648 KB |
Output is correct |
72 |
Correct |
1027 ms |
6524 KB |
Output is correct |
73 |
Correct |
1061 ms |
6392 KB |
Output is correct |
74 |
Correct |
1287 ms |
6788 KB |
Output is correct |
75 |
Correct |
1481 ms |
6520 KB |
Output is correct |
76 |
Correct |
1141 ms |
6896 KB |
Output is correct |
77 |
Correct |
189 ms |
7416 KB |
Output is correct |
78 |
Correct |
74 ms |
6904 KB |
Output is correct |
79 |
Correct |
135 ms |
6648 KB |
Output is correct |
80 |
Correct |
142 ms |
6880 KB |
Output is correct |
81 |
Correct |
143 ms |
6580 KB |
Output is correct |
82 |
Correct |
116 ms |
7032 KB |
Output is correct |
83 |
Correct |
89 ms |
6796 KB |
Output is correct |
84 |
Correct |
694 ms |
7308 KB |
Output is correct |
85 |
Correct |
1274 ms |
7116 KB |
Output is correct |
86 |
Correct |
79 ms |
1656 KB |
Output is correct |
87 |
Correct |
87 ms |
1784 KB |
Output is correct |
88 |
Correct |
1200 ms |
7208 KB |
Output is correct |
89 |
Correct |
280 ms |
2808 KB |
Output is correct |
90 |
Correct |
80 ms |
1656 KB |
Output is correct |