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 <iostream>
#include <algorithm>
#include <set>
using namespace std;
pair<long long int, long long int> a[200005], b[200005], c[200005];
pair<long long int, pair<long long int, long long int>> p[200005];
int main() {
int n;
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> p[i].first >> p[i].second.first >> p[i].second.second;
a[i] = {p[i].first, i};
b[i] = {p[i].second.first, i};
c[i] = {p[i].second.second, i};
}
sort(a + 1, a + n + 1);
sort(b + 1, b + n + 1);
sort(c + 1, c + n + 1);
long long int x = n, y = n, z = n;
set<long long int> s;
while (1) {
if (x == 0 || y == 0 || z == 0) {
cout << -1;
return 0;
}
if (s.find(a[x].second) != s.end()) {
x--;
continue;
}
if (s.find(b[y].second) != s.end()) {
y--;
continue;
}
if (s.find(c[z].second) != s.end()) {
z--;
continue;
}
if (a[x].second == b[y].second) {
s.insert(a[x].second);
x--;
continue;
}
if (a[x].second == c[z].second) {
s.insert(a[x].second);
x--;
continue;
}
if (b[y].second == c[z].second) {
s.insert(b[y].second);
y--;
continue;
}
if (p[a[x].second].second.first >= b[y].first) {
s.insert(a[x].second);
x--;
continue;
}
if (p[a[x].second].second.second >= c[z].first) {
s.insert(a[x].second);
x--;
continue;
}
if (p[b[y].second].first >= a[x].first) {
s.insert(b[y].second);
y--;
continue;
}
if (p[b[y].second].second.second >= c[z].first) {
s.insert(b[y].second);
y--;
continue;
}
if (p[c[z].second].first >= a[x].first) {
s.insert(c[z].second);
z--;
continue;
}
if (p[c[z].second].second.first >= b[y].first) {
s.insert(c[z].second);
z--;
continue;
}
cout << a[x].first + b[y].first + c[z].first;
return 0;
}
}
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