/*
Uruchamiamy samolot zwiadowczy ( + 500% do wzlamaniej )
/▄/ /█/ /◐/ /▐/ /▌/ /▀/ /░/ /🔥/ choose own style!
***IT'S OUR LONG WAY TO THE OIILLLL***
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*/
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4")
//#pragma comment(linker, "/stack:200000000")
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define ll long long
#define ld long doubl
#define fi first
#define se second
#define eb emplace_back
#define pii pair < int , int >
#define pipii pair< int, pair < int , int > >
#define TIME clock() * 1.0 / CLOCKS_PER_SEC
mt19937 gen(chrono::high_resolution_clock::now().time_since_epoch().count());
//#include <ext/pb_ds/detail/standard_policies.hpp>'
//#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>;
namespace fastio {template <class T> ostream &operator<<(ostream &os, const vector<T> &container){for (auto &u : container)os << u << " ";return os;}template<class T1, class T2> ostream& operator << (ostream& os, const pair<T1, T2>& p) { return os << p.first << " " << p.second; }template <class T> ostream &operator<<(ostream &os, set<T> const& con) { for (auto &u : con) os << u << " "; return os; }void pr() {}template <typename T, typename... args> void pr(T x, args... tail) { cout << x << " "; pr(tail...);}}using namespace fastio;
const int N = 3e5 + 5;
const int MA = 1e6 + 1;
const int X[4] = {0, 0, 1, -1};
const int Y[4] = {-1, 1, 0, 0};
vector < int > g[N];
ll n, k;
vector < pair < pii , pii > > q(N);
int x1, yy1, x2, y2;
int kk[4];
void update(pair < pii , pii > q, int len)
{
x1 = q.fi.fi;
x2 = q.se.fi;
yy1 = q.fi.se;
y2 = q.se.se;
kk[0] = x1 % len;
if (kk[0])
kk[0] = len - kk[0];
kk[0] = min(kk[0], x2 - x1 + 1);
kk[1] = (x2 + 1) % len;
kk[1] = min(kk[1], x2 - x1 + 1);
kk[2] = yy1 % len;
if (kk[2])
kk[2] = len - kk[2];
kk[2] = min(kk[2], y2 - yy1 + 1);
kk[3] = (y2 + 1) % len;
kk[3] = min(kk[3], y2 - yy1 + 1);
}
ll solve(int len)
{
ll all = n * n;
ll ans = 0;
int llen = len * 2;
vector < pair < pii , pii > > z = q;
for (int i = 0; i < n; ++i)
if (i % llen < len)
ans += (n / len / 2 + (n / len) % 2) * 1ll * len; else
ans += (n / len / 2) * 1ll * len;
for (int i = 0; i < k; ++i)
{
//kk[4]
update(q[i], len);
// cout<<ans<<endl;
// cout<<kk[0]<<" "<<kk[1]<<" "<<kk[2]<<" "<<kk[3]<<endl;
if (kk[2])
{
ll otv = 0;
if (((x1 % llen < len) + (yy1 % llen < len)) % 2 == 0)
otv -= kk[0]; else otv += kk[0];
if (((x1 / len) != (x2 / len)) || (!kk[0]))
if (((x2 % llen < len) + (yy1 % llen < len)) % 2 == 0)
otv -= kk[1]; else otv += kk[1];
ll dis = x2 - x1 + 1 - kk[0] - kk[1];
ll bx = dis / len / 2 + (dis / len) % 2;
ll mx = dis / len / 2;
if ((((x1 + kk[0]) % llen < len) + (yy1 % llen < len)) % 2 == 0)
otv -= len * bx,
otv += len * mx; else
otv += len * bx,
otv -= len * mx;
ans += otv * kk[2];
q[i].fi.se += kk[2];
}
if (q[i].fi.fi > q[i].se.fi || q[i].fi.se > q[i].se.se) continue;
update(q[i], len);
if (kk[0])
{
ll otv = 0;
if (((x1 % llen < len) + (y2 % llen < len)) % 2 == 0)
otv -= kk[3]; else otv += kk[3];
ll dis = y2 - yy1 + 1 - kk[3];
ll bx = dis / len / 2 + (dis / len) % 2;
ll mx = dis / len / 2;
if (((x1 % llen < len) + (yy1 % llen < len)) % 2 == 0)
otv -= len * bx,
otv += len * mx; else
otv += len * bx,
otv -= len * mx;
ans += otv * kk[0];
q[i].fi.fi += kk[0];
}
if (q[i].fi.fi > q[i].se.fi || q[i].fi.se > q[i].se.se) continue;
update(q[i], len);
if (kk[3])
{
ll otv = 0;
if (((x2 % llen < len) + (y2 % llen < len)) % 2 == 0)
otv -= kk[1]; else otv += kk[1];
ll dis = x2 - x1 + 1 - kk[1];
ll bx = dis / len / 2 + (dis / len) % 2;
ll mx = dis / len / 2;
if (((x1 % llen < len) + (y2 % llen < len)) % 2 == 0)
otv -= len * bx,
otv += len * mx; else
otv += len * bx,
otv -= len * mx;
ans += otv * kk[3];
q[i].se.se -= kk[3];
}
if (q[i].fi.fi > q[i].se.fi || q[i].fi.se > q[i].se.se) continue;
update(q[i], len);
if (kk[1])
{
ll otv = 0;
ll dis = y2 - yy1 + 1;
ll bx = dis / len / 2 + (dis / len) % 2;
ll mx = dis / len / 2;
if (((x2 % llen < len) + (yy1 % llen < len)) % 2 == 0)
otv -= len * bx,
otv += len * mx; else
otv += len * bx,
otv -= len * mx;
// cout<<otv<<endl;
ans += otv * kk[1];
q[i].se.fi -= kk[1];
}
if (q[i].fi.fi > q[i].se.fi || q[i].fi.se > q[i].se.se) continue;
update(q[i], len);
//right
ll dx = q[i].se.fi - q[i].fi.fi + 1;
ll dy = q[i].se.se - q[i].fi.se + 1;
ll by = dy / len / 2 + (dy / len) % 2;
ll my = dy / len / 2;
ll bx = dx / len / 2 + (dx / len) % 2;
ll mx = dx / len / 2;
ll alll = dx * dy;
int nac = (q[i].fi.fi % llen < len) + (q[i].fi.se % llen < len);
// cout<<len<<" "<<nac<<" "<<dx<<" "<<dy<<" "<<mx<<" "<<my<<" "<<bx<<" "<<by<<" "<<ans<<endl;
if (nac % 2 == 0)
{
ll ch = (bx * by + mx * my) * 1ll * len * len;
ans -= ch;
ans += (alll - ch);
} else
{
ll ch = (mx * by + bx * my) * 1ll * len * len;
ans -= ch;
ans += (alll - ch);
}
}
// cout<<ans<<endl;
// cout<<all<<endl//;
// cout<<endl;
q = z;
return min(ans, all - ans);
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#ifdef Estb_probitie
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
#endif
cin >> n >> k;
for (int i = 0; i < k; ++i)
{
int x1, x2, yy1, y2;
cin >> x1 >> yy1 >> x2 >> y2;
--x1, --x2, --yy1, --y2;
q[i] = {{x1, yy1}, {x2, y2}};
}
ll ans = solve(1);
for (int i = 2; i * i <= n; ++i)
if (n % i == 0)
{
ans = min(ans, solve(i));
ans = min(ans, solve(n / i));
}
cout << ans;
}
Compilation message
chessboard.cpp: In function 'long long int solve(int)':
chessboard.cpp:113:16: warning: suggest explicit braces to avoid ambiguous 'else' [-Wdangling-else]
if (((x1 / len) != (x2 / len)) || (!kk[0]))
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
16760 KB |
Output is correct |
2 |
Correct |
30 ms |
16796 KB |
Output is correct |
3 |
Correct |
25 ms |
16800 KB |
Output is correct |
4 |
Correct |
26 ms |
16928 KB |
Output is correct |
5 |
Correct |
19 ms |
16760 KB |
Output is correct |
6 |
Correct |
33 ms |
16796 KB |
Output is correct |
7 |
Correct |
23 ms |
16796 KB |
Output is correct |
8 |
Correct |
23 ms |
16836 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
54 ms |
18300 KB |
Output is correct |
2 |
Correct |
28 ms |
17144 KB |
Output is correct |
3 |
Correct |
43 ms |
17784 KB |
Output is correct |
4 |
Correct |
46 ms |
17656 KB |
Output is correct |
5 |
Correct |
52 ms |
18168 KB |
Output is correct |
6 |
Correct |
38 ms |
17656 KB |
Output is correct |
7 |
Correct |
22 ms |
16888 KB |
Output is correct |
8 |
Correct |
38 ms |
17656 KB |
Output is correct |
9 |
Correct |
69 ms |
18936 KB |
Output is correct |
10 |
Correct |
47 ms |
17912 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
16796 KB |
Output is correct |
2 |
Correct |
27 ms |
16796 KB |
Output is correct |
3 |
Correct |
30 ms |
16800 KB |
Output is correct |
4 |
Correct |
31 ms |
16788 KB |
Output is correct |
5 |
Correct |
24 ms |
16800 KB |
Output is correct |
6 |
Correct |
25 ms |
16800 KB |
Output is correct |
7 |
Correct |
23 ms |
16796 KB |
Output is correct |
8 |
Correct |
29 ms |
16800 KB |
Output is correct |
9 |
Correct |
23 ms |
16800 KB |
Output is correct |
10 |
Correct |
18 ms |
16760 KB |
Output is correct |
11 |
Correct |
24 ms |
16796 KB |
Output is correct |
12 |
Correct |
18 ms |
16760 KB |
Output is correct |
13 |
Correct |
28 ms |
16888 KB |
Output is correct |
14 |
Correct |
27 ms |
16796 KB |
Output is correct |
15 |
Correct |
24 ms |
16784 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
16796 KB |
Output is correct |
2 |
Correct |
27 ms |
16796 KB |
Output is correct |
3 |
Correct |
30 ms |
16800 KB |
Output is correct |
4 |
Correct |
31 ms |
16788 KB |
Output is correct |
5 |
Correct |
24 ms |
16800 KB |
Output is correct |
6 |
Correct |
25 ms |
16800 KB |
Output is correct |
7 |
Correct |
23 ms |
16796 KB |
Output is correct |
8 |
Correct |
29 ms |
16800 KB |
Output is correct |
9 |
Correct |
23 ms |
16800 KB |
Output is correct |
10 |
Correct |
18 ms |
16760 KB |
Output is correct |
11 |
Correct |
24 ms |
16796 KB |
Output is correct |
12 |
Correct |
18 ms |
16760 KB |
Output is correct |
13 |
Correct |
28 ms |
16888 KB |
Output is correct |
14 |
Correct |
27 ms |
16796 KB |
Output is correct |
15 |
Correct |
24 ms |
16784 KB |
Output is correct |
16 |
Correct |
40 ms |
17272 KB |
Output is correct |
17 |
Correct |
59 ms |
18168 KB |
Output is correct |
18 |
Correct |
86 ms |
18436 KB |
Output is correct |
19 |
Correct |
261 ms |
18208 KB |
Output is correct |
20 |
Correct |
279 ms |
18424 KB |
Output is correct |
21 |
Correct |
58 ms |
18168 KB |
Output is correct |
22 |
Correct |
38 ms |
16796 KB |
Output is correct |
23 |
Correct |
68 ms |
17440 KB |
Output is correct |
24 |
Correct |
79 ms |
18296 KB |
Output is correct |
25 |
Correct |
35 ms |
17016 KB |
Output is correct |
26 |
Correct |
59 ms |
17824 KB |
Output is correct |
27 |
Correct |
79 ms |
17952 KB |
Output is correct |
28 |
Correct |
85 ms |
18332 KB |
Output is correct |
29 |
Correct |
34 ms |
17272 KB |
Output is correct |
30 |
Correct |
25 ms |
16800 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
54 ms |
18300 KB |
Output is correct |
2 |
Correct |
28 ms |
17144 KB |
Output is correct |
3 |
Correct |
43 ms |
17784 KB |
Output is correct |
4 |
Correct |
46 ms |
17656 KB |
Output is correct |
5 |
Correct |
52 ms |
18168 KB |
Output is correct |
6 |
Correct |
38 ms |
17656 KB |
Output is correct |
7 |
Correct |
22 ms |
16888 KB |
Output is correct |
8 |
Correct |
38 ms |
17656 KB |
Output is correct |
9 |
Correct |
69 ms |
18936 KB |
Output is correct |
10 |
Correct |
47 ms |
17912 KB |
Output is correct |
11 |
Correct |
28 ms |
16796 KB |
Output is correct |
12 |
Correct |
27 ms |
16796 KB |
Output is correct |
13 |
Correct |
30 ms |
16800 KB |
Output is correct |
14 |
Correct |
31 ms |
16788 KB |
Output is correct |
15 |
Correct |
24 ms |
16800 KB |
Output is correct |
16 |
Correct |
25 ms |
16800 KB |
Output is correct |
17 |
Correct |
23 ms |
16796 KB |
Output is correct |
18 |
Correct |
29 ms |
16800 KB |
Output is correct |
19 |
Correct |
23 ms |
16800 KB |
Output is correct |
20 |
Correct |
18 ms |
16760 KB |
Output is correct |
21 |
Correct |
24 ms |
16796 KB |
Output is correct |
22 |
Correct |
18 ms |
16760 KB |
Output is correct |
23 |
Correct |
28 ms |
16888 KB |
Output is correct |
24 |
Correct |
27 ms |
16796 KB |
Output is correct |
25 |
Correct |
24 ms |
16784 KB |
Output is correct |
26 |
Correct |
40 ms |
17272 KB |
Output is correct |
27 |
Correct |
59 ms |
18168 KB |
Output is correct |
28 |
Correct |
86 ms |
18436 KB |
Output is correct |
29 |
Correct |
261 ms |
18208 KB |
Output is correct |
30 |
Correct |
279 ms |
18424 KB |
Output is correct |
31 |
Correct |
58 ms |
18168 KB |
Output is correct |
32 |
Correct |
38 ms |
16796 KB |
Output is correct |
33 |
Correct |
68 ms |
17440 KB |
Output is correct |
34 |
Correct |
79 ms |
18296 KB |
Output is correct |
35 |
Correct |
35 ms |
17016 KB |
Output is correct |
36 |
Correct |
59 ms |
17824 KB |
Output is correct |
37 |
Correct |
79 ms |
17952 KB |
Output is correct |
38 |
Correct |
85 ms |
18332 KB |
Output is correct |
39 |
Correct |
34 ms |
17272 KB |
Output is correct |
40 |
Correct |
25 ms |
16800 KB |
Output is correct |
41 |
Correct |
218 ms |
18920 KB |
Output is correct |
42 |
Correct |
90 ms |
19100 KB |
Output is correct |
43 |
Correct |
140 ms |
18936 KB |
Output is correct |
44 |
Correct |
88 ms |
18976 KB |
Output is correct |
45 |
Correct |
74 ms |
19192 KB |
Output is correct |
46 |
Correct |
247 ms |
19072 KB |
Output is correct |
47 |
Correct |
66 ms |
18808 KB |
Output is correct |
48 |
Correct |
115 ms |
18912 KB |
Output is correct |
49 |
Correct |
82 ms |
18844 KB |
Output is correct |
50 |
Correct |
1039 ms |
18980 KB |
Output is correct |
51 |
Correct |
1094 ms |
19192 KB |
Output is correct |
52 |
Correct |
1037 ms |
19064 KB |
Output is correct |
53 |
Correct |
1084 ms |
19104 KB |
Output is correct |
54 |
Correct |
1035 ms |
18936 KB |
Output is correct |
55 |
Correct |
1167 ms |
19192 KB |
Output is correct |
56 |
Correct |
986 ms |
18848 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
16760 KB |
Output is correct |
2 |
Correct |
30 ms |
16796 KB |
Output is correct |
3 |
Correct |
25 ms |
16800 KB |
Output is correct |
4 |
Correct |
26 ms |
16928 KB |
Output is correct |
5 |
Correct |
19 ms |
16760 KB |
Output is correct |
6 |
Correct |
33 ms |
16796 KB |
Output is correct |
7 |
Correct |
23 ms |
16796 KB |
Output is correct |
8 |
Correct |
23 ms |
16836 KB |
Output is correct |
9 |
Correct |
54 ms |
18300 KB |
Output is correct |
10 |
Correct |
28 ms |
17144 KB |
Output is correct |
11 |
Correct |
43 ms |
17784 KB |
Output is correct |
12 |
Correct |
46 ms |
17656 KB |
Output is correct |
13 |
Correct |
52 ms |
18168 KB |
Output is correct |
14 |
Correct |
38 ms |
17656 KB |
Output is correct |
15 |
Correct |
22 ms |
16888 KB |
Output is correct |
16 |
Correct |
38 ms |
17656 KB |
Output is correct |
17 |
Correct |
69 ms |
18936 KB |
Output is correct |
18 |
Correct |
47 ms |
17912 KB |
Output is correct |
19 |
Correct |
28 ms |
16796 KB |
Output is correct |
20 |
Correct |
27 ms |
16796 KB |
Output is correct |
21 |
Correct |
30 ms |
16800 KB |
Output is correct |
22 |
Correct |
31 ms |
16788 KB |
Output is correct |
23 |
Correct |
24 ms |
16800 KB |
Output is correct |
24 |
Correct |
25 ms |
16800 KB |
Output is correct |
25 |
Correct |
23 ms |
16796 KB |
Output is correct |
26 |
Correct |
29 ms |
16800 KB |
Output is correct |
27 |
Correct |
23 ms |
16800 KB |
Output is correct |
28 |
Correct |
18 ms |
16760 KB |
Output is correct |
29 |
Correct |
24 ms |
16796 KB |
Output is correct |
30 |
Correct |
18 ms |
16760 KB |
Output is correct |
31 |
Correct |
28 ms |
16888 KB |
Output is correct |
32 |
Correct |
27 ms |
16796 KB |
Output is correct |
33 |
Correct |
24 ms |
16784 KB |
Output is correct |
34 |
Correct |
40 ms |
17272 KB |
Output is correct |
35 |
Correct |
59 ms |
18168 KB |
Output is correct |
36 |
Correct |
86 ms |
18436 KB |
Output is correct |
37 |
Correct |
261 ms |
18208 KB |
Output is correct |
38 |
Correct |
279 ms |
18424 KB |
Output is correct |
39 |
Correct |
58 ms |
18168 KB |
Output is correct |
40 |
Correct |
38 ms |
16796 KB |
Output is correct |
41 |
Correct |
68 ms |
17440 KB |
Output is correct |
42 |
Correct |
79 ms |
18296 KB |
Output is correct |
43 |
Correct |
35 ms |
17016 KB |
Output is correct |
44 |
Correct |
59 ms |
17824 KB |
Output is correct |
45 |
Correct |
79 ms |
17952 KB |
Output is correct |
46 |
Correct |
85 ms |
18332 KB |
Output is correct |
47 |
Correct |
34 ms |
17272 KB |
Output is correct |
48 |
Correct |
25 ms |
16800 KB |
Output is correct |
49 |
Correct |
218 ms |
18920 KB |
Output is correct |
50 |
Correct |
90 ms |
19100 KB |
Output is correct |
51 |
Correct |
140 ms |
18936 KB |
Output is correct |
52 |
Correct |
88 ms |
18976 KB |
Output is correct |
53 |
Correct |
74 ms |
19192 KB |
Output is correct |
54 |
Correct |
247 ms |
19072 KB |
Output is correct |
55 |
Correct |
66 ms |
18808 KB |
Output is correct |
56 |
Correct |
115 ms |
18912 KB |
Output is correct |
57 |
Correct |
82 ms |
18844 KB |
Output is correct |
58 |
Correct |
1039 ms |
18980 KB |
Output is correct |
59 |
Correct |
1094 ms |
19192 KB |
Output is correct |
60 |
Correct |
1037 ms |
19064 KB |
Output is correct |
61 |
Correct |
1084 ms |
19104 KB |
Output is correct |
62 |
Correct |
1035 ms |
18936 KB |
Output is correct |
63 |
Correct |
1167 ms |
19192 KB |
Output is correct |
64 |
Correct |
986 ms |
18848 KB |
Output is correct |
65 |
Correct |
23 ms |
16860 KB |
Output is correct |
66 |
Correct |
24 ms |
16796 KB |
Output is correct |
67 |
Correct |
1221 ms |
19064 KB |
Output is correct |
68 |
Correct |
1230 ms |
19036 KB |
Output is correct |
69 |
Correct |
1078 ms |
18720 KB |
Output is correct |
70 |
Correct |
1127 ms |
19064 KB |
Output is correct |
71 |
Correct |
1206 ms |
18976 KB |
Output is correct |
72 |
Correct |
1137 ms |
18936 KB |
Output is correct |
73 |
Correct |
1168 ms |
18848 KB |
Output is correct |
74 |
Correct |
1219 ms |
18976 KB |
Output is correct |
75 |
Correct |
1149 ms |
18972 KB |
Output is correct |
76 |
Correct |
1211 ms |
19076 KB |
Output is correct |
77 |
Correct |
211 ms |
19192 KB |
Output is correct |
78 |
Correct |
95 ms |
18936 KB |
Output is correct |
79 |
Correct |
169 ms |
18980 KB |
Output is correct |
80 |
Correct |
164 ms |
19064 KB |
Output is correct |
81 |
Correct |
157 ms |
18720 KB |
Output is correct |
82 |
Correct |
144 ms |
18972 KB |
Output is correct |
83 |
Correct |
121 ms |
18848 KB |
Output is correct |
84 |
Correct |
758 ms |
19172 KB |
Output is correct |
85 |
Correct |
1314 ms |
19236 KB |
Output is correct |
86 |
Correct |
212 ms |
16800 KB |
Output is correct |
87 |
Correct |
203 ms |
16800 KB |
Output is correct |
88 |
Correct |
1279 ms |
19216 KB |
Output is correct |
89 |
Correct |
416 ms |
17312 KB |
Output is correct |
90 |
Correct |
208 ms |
16888 KB |
Output is correct |