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;
#define int long long
#define double long double
const int MAXN = 3e5 + 10;
const int MOD = 1e9 + 7;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
int bm(int b, int p) {
if(p==0) return 1 % MOD;
int r = bm(b, p >> 1);
if(p&1) return (((r*r) % MOD) * b) % MOD;
return (r*r) % MOD;
}
int inv(int b) {
return bm(b, MOD-2);
}
int fastlog(int x) {
return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void printcase(int i) { cout << "Case #" << i << ": "; }
static void run_with_stack_size(void (*func)(void), size_t stsize) {
char *stack, *send;
stack = (char *)malloc(stsize);
send = stack + stsize - 16;
send = (char *)((uintptr_t)send / 16 * 16);
asm volatile(
"mov %%rsp, (%0)\n"
"mov %0, %%rsp\n"
:
: "r"(send));
func();
asm volatile("mov (%0), %%rsp\n" : : "r"(send));
free(stack);
}
void solve(int tc) {
int n;
cin >> n;
int x[n+1], y[n+1], z[n+1], ban[n+1];
priority_queue<pair<int,int>> xx,yy,zz;
for(int i=1; i<=n; i++) {
cin >> x[i] >> y[i] >> z[i];
xx.push({x[i],i});
yy.push({y[i],i});
zz.push({z[i],i});
ban[i] = 0;
}
while(1) {
while(xx.size() && ban[xx.top().second]) xx.pop();
while(yy.size() && ban[yy.top().second]) yy.pop();
while(zz.size() && ban[zz.top().second]) zz.pop();
if(xx.empty() || yy.empty() || zz.empty()) break;
pair<int,int> xt= xx.top();
pair<int,int> yt= yy.top();
pair<int,int> zt= zz.top();
vector<int> bruhs = {xt.second, yt.second, zt.second};
vector<int> bad;
for(int w: bruhs) {
int cnt = (x[w] == xt.first) + (y[w] == yt.first) + (z[w] == zt.first);
if(cnt > 1) bad.push_back(w);
}
if(bad.size()) {
for(int w: bad) {
ban[w] = 1;
}
continue;
}
cout << xt.first + yt.first + zt.first << '\n'; return;
}
cout << "-1\n"; return;
}
void uwu() {
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
int32_t main() {
#ifdef ONLINE_JUDGE
uwu();
#endif
#ifndef ONLINE_JUDGE
run_with_stack_size(uwu, 1024 * 1024 * 1024); // run with a 1 GiB stack
#endif
}
/*
g++ E.cpp -std=c++17 -O2 -o E
./E < input.txt
*/
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