#include <bits/stdc++.h>
#include <atcoder/all>

typedef long long int ll;
typedef long double ld;

using namespace std;
using namespace atcoder;

#define inf 1010000000
#define llinf 1001000000000000000ll
#define pi 3.141592653589793238
#define rep(i, n) for(ll i = 0; i < (n); i++)
#define rep1(i, n) for(ll i = 1; i <= (n); i++)
#define rep2(i,l,r) for(ll i = (l); i < (r); i++)
#define per(i, n) for(ll i = (n)-1; i >= 0; i--)
#define each(x, v) for (auto&& x : v)
#define rng(a) a.begin(),a.end()
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define pob pop_back
#define st string
#define sz(x) (int)(x).size()
#define mems(x) memset(x, -1, sizeof(x));
#define pcnt __builtin_popcountll
#define _GLIBCXX_DEBUG

#define dame { puts("-1"); return 0;}
#define yes { puts("Yes"); return 0;}
#define no { puts("No"); return 0;}
#define ret(x) { cout<<(x)<<endl;}
#define rets(x) { cout<<(x)<< " ";}
#define Endl cout<<endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false;}
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false;}

// 仮マクロ 便利だったら昇格
#define dump(x) { cout << #x << " = " << (x) << endl;}
#define bit(n) (1LL<<(n))
#define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end())

template <class T = ll>
inline T in(){ T x; cin >> x; return (x);}

#define vcin(x,n) {for(ll loop=0; loop<(n); loop++) cin>>x[loop];}

// ここまで仮マクロ

// srand((unsigned)time(NULL)); rand()を用いる際にmainの頭に置く
// clock()/CLOCKS_PER_SEC 秒数を知りたいときに用いる

#define mod 998244353
using mint = modint998244353;

/*

#define mod 1000000007
using mint = modint1000000007;

*/

vector<ll> dx={1,0,-1,0};
vector<ll> dy={0,1,0,-1};

using pl = pair<ll,ll>;
using ppl = pair<ll,pl>;
using V = vector<ll>;
using Graph = vector<vector<ll>>;
// G.assign(n, vector<ll>()); グローバル変数にGを置く時に置く

// 関数を置くのはここ以下

ll euclid(pl x, pl y){
  return (x.fi-y.fi)*(x.fi-y.fi) + (x.se-y.se)*(x.se-y.se);
}

bool isOK(ll mid, vector<ppl> v, ll n) {
  dsu d(n);
  rep(i,n){
    rep(j,n){
      if(i==j) continue;
      if(v[i].fi==v[j].fi){
        if(euclid(v[i].se,v[j].se)<=mid) d.merge(i,j);
      }else{
        ll x = euclid(v[i].se,make_pair(0,0));
        ll y = euclid(v[j].se,make_pair(0,0));
        if(x>y) swap(x,y);
        if((y+x-mid)<=0 || (y+x-mid)*(y+x-mid)<=4*x*y){
          d.merge(i,j);
        }
      }
    }
  }
  if(d.same(0,n-1)) return true;
  return false;
}

ll b_se(vector<ppl> v, ll n) {
  ll ng = -1;
  ll ok = 3200000000; //okは必ずtrue, ngは必ずfalse

  while (abs(ok - ng) > 1) {
    ll mid = (ok + ng) / 2;

    if (isOK(mid, v, n)) ok = mid;
    else ng = mid;
  }
  return ok;
}

int main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(20);
  ll n = in();
  vector<ppl> v;
  rep(i,n){
    ll x,y,z; cin >> x >> y >> z;
    v.eb(z,make_pair(x,y));
  }
  ret(b_se(v,n));
}