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 f first
#define s second
const int N = 2e5 + 69;
int n, a[N], b[N], c[N], vis[N], u;
multiset<int> x, y, z;
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n;
multiset<tuple<int, int, int>> st1, st2, st3;
multiset<tuple<int, int, int, int>> ev;
for (int i = 1;i <= n;i++) {
cin >> a[i] >> b[i] >> c[i];
st1.insert({a[i], b[i], i});
st2.insert({a[i], c[i], i});
st3.insert({b[i], c[i], i});
ev.insert({a[i], b[i], c[i], i});
x.insert(a[i]);
y.insert(b[i]);
z.insert(c[i]);
}
while (!x.empty()) {
auto mx = *x.rbegin();
auto my = *y.rbegin();
auto mz = *z.rbegin();
auto u1 = st1.lower_bound({mx, my, -1});
auto u2 = st2.lower_bound({mx, mz, -1});
auto u3 = st3.lower_bound({my, mz, -1});
auto u4 = ev.lower_bound({mx, my, mx, -1});
if (u1 != st1.end() && get<0>(*u1) == mx && get<1>(*u1) == my) {
int i = get<2>(*u1);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else if (u2 != st2.end() && get<0>(*u2) == mx && get<1>(*u2) == mz) {
int i = get<2>(*u2);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else if (u3 != st3.end() && get<0>(*u3) == my && get<1>(*u3) == mz) {
int i = get<2>(*u3);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else if (u4 != ev.end() && get<0>(*u4) == mx && get<1>(*u4) == my && get<2>(*u4) == mz) {
int i = get<3>(*u4);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else
break;
}
int ans = -1;
int mx = 0, my = 0, mz = 0;
for (int i = 1;i <= n;i++) {
if (!vis[i]) {
u++;
mx = max(mx, a[i]);
my = max(my, b[i]);
mz = max(mz, c[i]);
}
}
if (u > 2)
ans = mx + my + mz;
cout << ans << '\n';
}
return 0;
}
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