/***Farhan132***/
// #pragma GCC optimize("Ofast,fast-math")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
// #pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double dd;
typedef pair<ll , ll> ii;
typedef tuple < ll, ll, ll > tp;
#define ff first
#define ss second
#define pb push_back
#define in insert
#define bug printf("**!\n")
#define mem(a , b) memset(a, b ,sizeof(a))
#define front_zero(n) __builtin_clz(n)
#define back_zero(n) __builtin_ctzll(n)
#define total_one(n) __builtin_popcount(n)
#define clean fflush(stdout)
const ll mod = (ll) 998244353;
// const ll mod = (ll) 1e9 + 7;
//const ll INF = numeric_limits<ll>::max()-1;
const ll INF = (ll)2e18;
// ll dx[]={0,1,0,-1};
// ll dy[]={1,0,-1,0};
// ll dxx[]={0,1,0,-1,1,1,-1,-1};
// ll dyy[]={1,0,-1,0,1,-1,1,-1};
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const ll N = 2005;
ii add(ii a, ii b){
return {a.ff + b.ff, a.ss + b.ss};
}
ii sub(ii a, ii b){
return {a.ff - b.ff, a.ss - b.ss};
}
ii f(ll col, ll h, ll sz, ll n){
ll nor = n / (2 * sz);
ii ans = {nor * sz, nor * sz};
n %= (2 * sz);
if(n > sz){
ans.ff += sz;
ans.ss += n - sz;
}else{
ans.ff += n;
}
ans.ff *= h;
ans.ss *= h;
if(!col) swap(ans.ff, ans.ss);
return ans;
}
ii corner(ll x, ll y, ll sz){
if(min(x, y) < 1) return {0, 0};
ll p1 = x / sz;
ll p2 = y / sz;
ll unit = sz * sz;
ii ans = {unit * ((p1 * p2 + 1) / 2), unit * ((p1 * p2) / 2)};
ans = add(ans, f(1 - p1%2, x % sz, sz, y));
ans = add(ans, f(1 - p2%2, y % sz, sz, p1 * sz));
return ans;
}
ii F(ll r1, ll c1, ll r2, ll c2, ll sz){
ii ans = corner(r2, c2, sz);
ans = sub(ans, corner(r2, c1 - 1, sz));
ans = sub(ans, corner(r1 - 1, c2, sz));
ans = add(ans, corner(r1 - 1, c1 - 1, sz));
return ans;
}
void solve(){
ll n; cin >> n;
vector < tuple < ll , ll , ll , ll > > Q;
ll q; cin >> q;
for(ll i = 0; i < q; i++){
ll r1, c1, r2, c2;
cin >> r1 >> c1 >> r2 >> c2;
Q.push_back({r1, c1, r2, c2});
}
ll ans = n * n;
for(ll sz = 1; sz < n; sz++){
if(n % sz != 0) continue;
ii cnt = {0, 0};
for(auto [r1, c1, r2, c2] : Q){
cnt = add(cnt, F(r1, c1, r2, c2, sz));
}
ii overall = corner(n, n, sz);
ans = min({ans, cnt.ss + overall.ff - cnt.ff, cnt.ff + overall.ss - cnt.ss});
}
cout << ans << '\n';
return;
}
int main() {
#ifdef LOCAL
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
auto start_time = clock();
#else
// freopen("subsequence.in", "r", stdin);
// freopen("subsequence.out", "w", stdout);
ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
#endif
//precalc();
ll T = 1, CT = 0; //cin >> T;
while(T--){
// cout << "Case #" << ++CT << ": ";
solve();
}
#ifdef LOCAL
auto end_time = clock();
cerr<< "Execution time: "<<(end_time - start_time)*(int)1e3/CLOCKS_PER_SEC<<" ms\n";
#endif
return 0;
}
Compilation message
chessboard.cpp: In function 'int main()':
chessboard.cpp:130:15: warning: unused variable 'CT' [-Wunused-variable]
130 | ll T = 1, CT = 0; //cin >> T;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
2512 KB |
Output is correct |
2 |
Correct |
9 ms |
1844 KB |
Output is correct |
3 |
Correct |
15 ms |
3408 KB |
Output is correct |
4 |
Correct |
16 ms |
3280 KB |
Output is correct |
5 |
Correct |
20 ms |
3532 KB |
Output is correct |
6 |
Correct |
13 ms |
3276 KB |
Output is correct |
7 |
Correct |
5 ms |
852 KB |
Output is correct |
8 |
Correct |
13 ms |
3280 KB |
Output is correct |
9 |
Correct |
33 ms |
6212 KB |
Output is correct |
10 |
Correct |
19 ms |
3528 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 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 |
360 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
328 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 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 |
360 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
328 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
15 ms |
1936 KB |
Output is correct |
17 |
Correct |
26 ms |
5848 KB |
Output is correct |
18 |
Correct |
46 ms |
5816 KB |
Output is correct |
19 |
Correct |
215 ms |
5828 KB |
Output is correct |
20 |
Correct |
240 ms |
5756 KB |
Output is correct |
21 |
Correct |
27 ms |
5744 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
36 ms |
3128 KB |
Output is correct |
24 |
Correct |
47 ms |
5736 KB |
Output is correct |
25 |
Correct |
7 ms |
1112 KB |
Output is correct |
26 |
Correct |
26 ms |
3280 KB |
Output is correct |
27 |
Correct |
44 ms |
5576 KB |
Output is correct |
28 |
Correct |
51 ms |
5728 KB |
Output is correct |
29 |
Correct |
10 ms |
3052 KB |
Output is correct |
30 |
Correct |
2 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
2512 KB |
Output is correct |
2 |
Correct |
9 ms |
1844 KB |
Output is correct |
3 |
Correct |
15 ms |
3408 KB |
Output is correct |
4 |
Correct |
16 ms |
3280 KB |
Output is correct |
5 |
Correct |
20 ms |
3532 KB |
Output is correct |
6 |
Correct |
13 ms |
3276 KB |
Output is correct |
7 |
Correct |
5 ms |
852 KB |
Output is correct |
8 |
Correct |
13 ms |
3280 KB |
Output is correct |
9 |
Correct |
33 ms |
6212 KB |
Output is correct |
10 |
Correct |
19 ms |
3528 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 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 |
360 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
324 KB |
Output is correct |
22 |
Correct |
1 ms |
328 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
328 KB |
Output is correct |
26 |
Correct |
15 ms |
1936 KB |
Output is correct |
27 |
Correct |
26 ms |
5848 KB |
Output is correct |
28 |
Correct |
46 ms |
5816 KB |
Output is correct |
29 |
Correct |
215 ms |
5828 KB |
Output is correct |
30 |
Correct |
240 ms |
5756 KB |
Output is correct |
31 |
Correct |
27 ms |
5744 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
36 ms |
3128 KB |
Output is correct |
34 |
Correct |
47 ms |
5736 KB |
Output is correct |
35 |
Correct |
7 ms |
1112 KB |
Output is correct |
36 |
Correct |
26 ms |
3280 KB |
Output is correct |
37 |
Correct |
44 ms |
5576 KB |
Output is correct |
38 |
Correct |
51 ms |
5728 KB |
Output is correct |
39 |
Correct |
10 ms |
3052 KB |
Output is correct |
40 |
Correct |
2 ms |
468 KB |
Output is correct |
41 |
Correct |
194 ms |
6292 KB |
Output is correct |
42 |
Correct |
52 ms |
6340 KB |
Output is correct |
43 |
Correct |
109 ms |
6328 KB |
Output is correct |
44 |
Correct |
56 ms |
6340 KB |
Output is correct |
45 |
Correct |
35 ms |
6316 KB |
Output is correct |
46 |
Correct |
218 ms |
6240 KB |
Output is correct |
47 |
Correct |
32 ms |
6348 KB |
Output is correct |
48 |
Correct |
84 ms |
6344 KB |
Output is correct |
49 |
Correct |
47 ms |
6240 KB |
Output is correct |
50 |
Correct |
1061 ms |
6320 KB |
Output is correct |
51 |
Correct |
1135 ms |
6344 KB |
Output is correct |
52 |
Correct |
1056 ms |
6340 KB |
Output is correct |
53 |
Correct |
1124 ms |
6252 KB |
Output is correct |
54 |
Correct |
1032 ms |
6352 KB |
Output is correct |
55 |
Correct |
1170 ms |
6340 KB |
Output is correct |
56 |
Correct |
1002 ms |
6348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
22 ms |
2512 KB |
Output is correct |
10 |
Correct |
9 ms |
1844 KB |
Output is correct |
11 |
Correct |
15 ms |
3408 KB |
Output is correct |
12 |
Correct |
16 ms |
3280 KB |
Output is correct |
13 |
Correct |
20 ms |
3532 KB |
Output is correct |
14 |
Correct |
13 ms |
3276 KB |
Output is correct |
15 |
Correct |
5 ms |
852 KB |
Output is correct |
16 |
Correct |
13 ms |
3280 KB |
Output is correct |
17 |
Correct |
33 ms |
6212 KB |
Output is correct |
18 |
Correct |
19 ms |
3528 KB |
Output is correct |
19 |
Correct |
1 ms |
340 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 |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 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 |
360 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
324 KB |
Output is correct |
30 |
Correct |
1 ms |
328 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
328 KB |
Output is correct |
34 |
Correct |
15 ms |
1936 KB |
Output is correct |
35 |
Correct |
26 ms |
5848 KB |
Output is correct |
36 |
Correct |
46 ms |
5816 KB |
Output is correct |
37 |
Correct |
215 ms |
5828 KB |
Output is correct |
38 |
Correct |
240 ms |
5756 KB |
Output is correct |
39 |
Correct |
27 ms |
5744 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
36 ms |
3128 KB |
Output is correct |
42 |
Correct |
47 ms |
5736 KB |
Output is correct |
43 |
Correct |
7 ms |
1112 KB |
Output is correct |
44 |
Correct |
26 ms |
3280 KB |
Output is correct |
45 |
Correct |
44 ms |
5576 KB |
Output is correct |
46 |
Correct |
51 ms |
5728 KB |
Output is correct |
47 |
Correct |
10 ms |
3052 KB |
Output is correct |
48 |
Correct |
2 ms |
468 KB |
Output is correct |
49 |
Correct |
194 ms |
6292 KB |
Output is correct |
50 |
Correct |
52 ms |
6340 KB |
Output is correct |
51 |
Correct |
109 ms |
6328 KB |
Output is correct |
52 |
Correct |
56 ms |
6340 KB |
Output is correct |
53 |
Correct |
35 ms |
6316 KB |
Output is correct |
54 |
Correct |
218 ms |
6240 KB |
Output is correct |
55 |
Correct |
32 ms |
6348 KB |
Output is correct |
56 |
Correct |
84 ms |
6344 KB |
Output is correct |
57 |
Correct |
47 ms |
6240 KB |
Output is correct |
58 |
Correct |
1061 ms |
6320 KB |
Output is correct |
59 |
Correct |
1135 ms |
6344 KB |
Output is correct |
60 |
Correct |
1056 ms |
6340 KB |
Output is correct |
61 |
Correct |
1124 ms |
6252 KB |
Output is correct |
62 |
Correct |
1032 ms |
6352 KB |
Output is correct |
63 |
Correct |
1170 ms |
6340 KB |
Output is correct |
64 |
Correct |
1002 ms |
6348 KB |
Output is correct |
65 |
Correct |
0 ms |
320 KB |
Output is correct |
66 |
Correct |
0 ms |
212 KB |
Output is correct |
67 |
Correct |
1100 ms |
6300 KB |
Output is correct |
68 |
Correct |
1098 ms |
6328 KB |
Output is correct |
69 |
Correct |
960 ms |
6348 KB |
Output is correct |
70 |
Correct |
1074 ms |
6348 KB |
Output is correct |
71 |
Correct |
1051 ms |
6312 KB |
Output is correct |
72 |
Correct |
1030 ms |
6340 KB |
Output is correct |
73 |
Correct |
1012 ms |
6348 KB |
Output is correct |
74 |
Correct |
1092 ms |
6348 KB |
Output is correct |
75 |
Correct |
1050 ms |
6384 KB |
Output is correct |
76 |
Correct |
1109 ms |
6344 KB |
Output is correct |
77 |
Correct |
161 ms |
6348 KB |
Output is correct |
78 |
Correct |
49 ms |
6156 KB |
Output is correct |
79 |
Correct |
107 ms |
6256 KB |
Output is correct |
80 |
Correct |
118 ms |
6340 KB |
Output is correct |
81 |
Correct |
106 ms |
6240 KB |
Output is correct |
82 |
Correct |
85 ms |
6320 KB |
Output is correct |
83 |
Correct |
62 ms |
6368 KB |
Output is correct |
84 |
Correct |
652 ms |
6224 KB |
Output is correct |
85 |
Correct |
1154 ms |
6340 KB |
Output is correct |
86 |
Correct |
2 ms |
212 KB |
Output is correct |
87 |
Correct |
1 ms |
212 KB |
Output is correct |
88 |
Correct |
1181 ms |
6348 KB |
Output is correct |
89 |
Correct |
222 ms |
1876 KB |
Output is correct |
90 |
Correct |
1 ms |
212 KB |
Output is correct |