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<stdio.h>
#include<stdint.h>
#include<vector>
#include<algorithm>
#include<utility>
#include<set>
#include<map>
#include<queue>
#include<stack>
using namespace std;
const int64_t INF = (int64_t) 1e18 + 777;
const int64_t mINF = 2500 + 5;
const int64_t MOD = 1e9 + 9;
const int nbit = 11;
const int ndig = 10;
const int nchar = 26;
const int p1 = 31;
const int p2 = 53;
const int D = 4;
int dr[D] = {0, 1, 0, -1};
int dc[D] = {1, 0, -1, 0};
struct Thing
{
int x;
int y;
int z;
Thing(int x_, int y_, int z_) : x(x_), y(y_), z(z_) {}
};
struct Solution
{
Solution() {}
void solve()
{
int n;
cin >> n;
vector<Thing> v(n, Thing(-1, -1, -1));
set<pair<int, int> > a;
set<pair<int, int> > b;
set<pair<int, int> > c;
for(int i = 0; i < n; i++)
{
cin >> v[i].x >> v[i].y >> v[i].z;
a.insert(make_pair(-v[i].x, i));
b.insert(make_pair(-v[i].y, i));
c.insert(make_pair(-v[i].z, i));
}
int ans = -1;
for(int t = 0; t < n; t++)
{
int i = a.begin()->second;
int j = b.begin()->second;
int k = c.begin()->second;
int max_x = v[i].x;
int max_y = v[j].y;
int max_z = v[k].z;
if(v[i].y == max_y || v[i].z == max_z)
{
a.erase(make_pair(-v[i].x, i));
b.erase(make_pair(-v[i].y, i));
c.erase(make_pair(-v[i].z, i));
continue;
}
if(v[j].x == max_x || v[j].z == max_z)
{
a.erase(make_pair(-v[j].x, j));
b.erase(make_pair(-v[j].y, j));
c.erase(make_pair(-v[j].z, j));
continue;
}
if(v[k].x == max_x || v[k].y == max_y)
{
a.erase(make_pair(-v[k].x, k));
b.erase(make_pair(-v[k].y, k));
c.erase(make_pair(-v[k].z, k));
continue;
}
ans = v[i].x + v[j].y + v[k].z;
break;
}
cout << ans << "\n";
}
int modsub(int t1, int t2)
{
int res = t1 - t2;
if(res < 0) res += MOD;
return res;
}
int modadd(int t1, int t2)
{
int res = t1 + t2;
if(res >= MOD) res -= MOD;
return res;
}
int modmul(int t1, int t2)
{
int64_t res = 1LL * t1 * t2;
return (res % MOD);
}
bool BIT(int& mask, int& j)
{
return (mask & MASK(j));
}
int MASK(int j)
{
return (1 << j);
}
};
void __startup()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
}
int main()
{
__startup();
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
Solution().solve();
}
return 0;
}
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