This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
template<class T, class U>
void ckmin(T &a, U b)
{
if (a > b) a = b;
}
template<class T, class U>
void ckmax(T &a, U b)
{
if (a < b) a = b;
}
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define SZ(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
const int MAXN = 1e5 + 13;
const int INF = 1e9 + 7;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
int N;
pll arr[MAXN];
int dir[MAXN];
int dx[4] = {-1, 0, 1, 0}, dy[4] = {0, -1, 0, 1};
bitset<MAXN> flag;
int ans = 1;
int testdir(int d)
{
// cerr << "TEST " << d << endl;
int res = 1, curt = 0;
FOR(i, 0, N)
{
flag[i] = false;
dir[i] = -1;
}
flag[0] = true;
dir[0] = d;
while(true)
{
int guy = -1, guydir = -1, guyt = INF;
FOR(i, 0, N)
{
if (flag[i]) continue;
FOR(j, 0, N)
{
if (!flag[j]) continue;
// if (abs(arr[i].fi - arr[j].fi) != abs(arr[i].se - arr[j].se)) continue;
int t = (abs(arr[i].fi - arr[j].fi) + abs(arr[i].se - arr[j].se)) / 2;
if (t < curt) continue;
FOR(k, 0, 4)
{
if (arr[j].fi + t * dx[dir[j]] == arr[i].fi + t * dx[k] && arr[j].se + t * dy[dir[j]] == arr[i].se + t * dy[k] && t < guyt)
{
guyt = t;
guydir = k;
guy = i;
}
}
}
}
if (guy == -1) break;
// cerr << "infect " << guy << ' ' << guyt << endl;
flag[guy] = true;
dir[guy] = guydir;
curt = guyt;
res++;
}
return res;
}
int32_t main()
{
ios_base::sync_with_stdio(false); cin.tie(0);
cout << fixed << setprecision(12);
cerr << fixed << setprecision(4);
cin >> N;
FOR(i, 0, N)
{
cin >> arr[i].fi >> arr[i].se;
arr[i].fi *= 2; arr[i].se *= 2;
}
FOR(i, 0, 4)
{
ckmax(ans, testdir(i));
}
cout << ans << '\n';
return 0;
}
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