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;
typedef long long ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 0x3f3f3f3f3f3f3f3f
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
struct gujo
{
ll X, D1, Y, D2, T;
bool operator < (const gujo &xx) const
{
return T < xx.T;
}
};
ll n;
pll a[100010];
vector<gujo> vec;
ll ans;
ll D[100010];
ll solve(ll dir)
{
ll ret = 1;
for(ll i = 1 ; i <= n ; i++)
D[i] = -1;
D[1] = dir;
for(auto &i : vec)
{
if(D[i.X] != -1 && D[i.Y] != -1)
continue;
if(D[i.X] != -1)
{
if(D[i.X] == i.D1)
D[i.Y] = i.D2, ret++;
}
else if(D[i.Y] != -1)
{
if(D[i.Y] == i.D2)
D[i.X] = i.D1, ret++;
}
}
return ret;
}
int main(void)
{
fastio
cin >> n;
for(ll i = 1 ; i <= n ; i++)
cin >> a[i].fi >> a[i].se;
for(ll i = 1 ; i <= n ; i++)
{
for(ll j = i + 1 ; j <= n ; j++)
{
if(a[i].fi == a[j].fi)
{
if(a[i].se < a[j].se)
vec.push_back({i, 1, j, 3, (a[j].se - a[i].se)});
else
vec.push_back({i, 3, j, 1, (a[i].se - a[j].se)});
}
else if(a[i].se == a[j].se)
{
if(a[i].fi < a[j].fi)
vec.push_back({i, 0, j, 2, a[j].fi - a[i].fi});
else
vec.push_back({i, 2, j, 0, a[j].fi - a[i].fi});
}
else if(a[i].fi + a[i].se == a[j].fi + a[j].se)
{
if(a[i].fi < a[j].fi)
{
vec.push_back({i, 1, j, 0, (a[j].fi - a[i].fi) * 2});
vec.push_back({i, 2, j, 3, (a[j].fi - a[i].fi) * 2});
}
else
{
vec.push_back({i, 0, j, 1, (a[i].fi - a[j].fi) * 2});
vec.push_back({i, 3, j, 2, (a[i].fi - a[j].fi) * 2});
}
}
else if(a[i].fi - a[i].se == a[j].fi - a[j].se)
{
if(a[i].fi < a[j].fi)
{
vec.push_back({i, 0, j, 3, (a[j].fi - a[i].fi) * 2});
vec.push_back({i, 1, j, 2, (a[j].fi - a[i].fi) * 2});
}
else
{
vec.push_back({i, 3, j, 0, (a[i].fi - a[j].fi) * 2});
vec.push_back({i, 2, j, 1, (a[i].fi - a[j].fi) * 2});
}
}
}
}
sort(vec.begin(), vec.end());
for(ll i = 0 ; i < 4 ; i++)
ans = max(ans, solve(i));
cout << ans;
return 0;
}
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