Problem: Kostya is a genial sculptor, he has an idea: to carve a marble sculpture in the shape of a sphere. Kostya has a friend Zahar who works at a career. Zahar knows about Kostya's idea and wants to present him a rectangular parallelepiped of marble from which he can carve the sphere. 

Zahar has n stones which are rectangular parallelepipeds. The edges sizes of the i-th of them are ai, bi and ci. He can take no more than two stones and present them to Kostya. 

If Zahar takes two stones, he should glue them together on one of the faces in order to get a new piece of rectangular parallelepiped of marble. Thus, it is possible to glue a pair of stones together if and only if two faces on which they are glued together match as rectangles. In such gluing it is allowed to rotate and flip the stones in any way. 

Help Zahar choose such a present so that Kostya can carve a sphere of the maximum possible volume and present it to Zahar.

Input

The first line contains the integer n (1 ≤ n ≤ 105).

n lines follow, in the i-th of which there are three integers ai, bi and ci (1 ≤ ai, bi, ci ≤ 109) — the lengths of edges of the i-th stone. Note, that two stones may have exactly the same sizes, but they still will be considered two different stones.

Output

In the first line print k (1 ≤ k ≤ 2) the number of stones which Zahar has chosen. In the second line print k distinct integers from 1 to n — the numbers of stones which Zahar needs to choose. Consider that stones are numbered from 1 to n in the order as they are given in the input data.

You can print the stones in arbitrary order. If there are several answers print any of them. 

Examples

Input

6
5 5 5
3 2 4
1 4 1
2 1 3
3 2 4
3 3 4


Output

1
1


Input

7
10 7 8
5 10 3
4 2 6
5 5 5
10 2 8
4 2 1
7 7 7


Output

2
1 5

Note

In the first example we can connect the pairs of stones:

  * 2 and 4, the size of the parallelepiped: 3 × 2 × 5, the radius of the inscribed sphere 1
  * 2 and 5, the size of the parallelepiped: 3 × 2 × 8 or 6 × 2 × 4 or 3 × 4 × 4, the radius of the inscribed sphere 1, or 1, or 1.5 respectively. 
  * 2 and 6, the size of the parallelepiped: 3 × 5 × 4, the radius of the inscribed sphere 1.5
  * 4 and 5, the size of the parallelepiped: 3 × 2 × 5, the radius of the inscribed sphere 1
  * 5 and 6, the size of the parallelepiped: 3 × 4 × 5, the radius of the inscribed sphere 1.5



Or take only one stone:

  * 1 the size of the parallelepiped: 5 × 5 × 5, the radius of the inscribed sphere 2.5
  * 2 the size of the parallelepiped: 3 × 2 × 4, the radius of the inscribed sphere 1
  * 3 the size of the parallelepiped: 1 × 4 × 1, the radius of the inscribed sphere 0.5
  * 4 the size of the parallelepiped: 2 × 1 × 3, the radius of the inscribed sphere 0.5
  * 5 the size of the parallelepiped: 3 × 2 × 4, the radius of the inscribed sphere 1
  * 6 the size of the parallelepiped: 3 × 3 × 4, the radius of the inscribed sphere 1.5



It is most profitable to take only the first stone. 

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
struct outFloat {
  int precision;
  long double value;
  outFloat(long double v, int p) : precision(p), value(v) {}
};
template <typename T>
struct debugInfo {
  string name;
  T val;
  debugInfo(const char* n, T v) : name(n), val(v){};
};
template <typename T>
debugInfo<T> makeDebugInfo(const char* n, T v) {
  return debugInfo<T>(n, v);
}
const int inf = 123456789;
const long long llInf = 123456789012345678LL;
const long double pi = 3.14159265358979323846;
const int maxN = 2000000;
int init() {
  ios_base::sync_with_stdio(0);
  srand(time(NULL));
  return 0;
}
int initializer = init();
template <typename T1, typename T2>
istream& operator>>(istream& is, pair<T1, T2>& p) {
  is >> p.first >> p.second;
  return is;
}
template <typename T>
istream& operator>>(istream& is, vector<T>& p) {
  for (int i = 0; i < p.size(); i++) is >> p[i];
  return is;
}
class inputer {
 private:
  istream* istr;

 public:
  inputer(istream& is) : istr(&is) {}
  template <typename T>
  void get(T& n) {
    (*istr) >> n;
  }
  template <typename T, typename... Args>
  void get(T& n, Args&... args) {
    get(n);
    get(args...);
  }
  template <typename... Args>
  void getLn(Args&... args) {
    get(args...);
    getLn();
  }
  template <typename T>
  operator T() {
    T n;
    get(n);
    return n;
  }
  void getLn() {
    string s;
    getline(cin, s);
  }
  template <typename T>
  void getv(vector<T>& v, int size) {
    v.resize(size);
    (*istr) >> v;
  }
};
string delim = " ";
template <typename T1, typename T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
  os << p.first << delim << p.second;
  return os;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& p) {
  for (int i = 0; i < p.size(); i++) {
    if (i != 0) os << delim;
    os << p[i];
  }
  return os;
}
ostream& operator<<(ostream& os, const outFloat& of) {
  os << setprecision(of.precision) << of.value;
  return os;
}
template <typename T>
ostream& operator<<(ostream& os, const debugInfo<T>& dbg) {
  os << "\"" << dbg.name << "\" = \"" << dbg.val << "\""
     << "\n";
}
class outputer {
 private:
  ostream* ostr;

 public:
  outputer(ostream& os) : ostr(&os) {}
  template <typename T>
  void put(const T& n) {
    (*ostr) << n;
  }
  template <typename T, typename... Args>
  void put(const T& n, const Args&... args) {
    put(n);
    put(args...);
  }
  template <typename... Args>
  void putLn(const Args&... args) {
    put(args...);
    putLn();
  }
  template <typename T>
  outputer& operator=(const T& n) {
    putLn(n);
    return *this;
  }
  void putLn() { (*ostr) << "\n"; }
  template <typename T>
  void putv(vector<T> v, int size, string delim) {
    for (int i = 0; i < size; i++) {
      if (i != 0) (*ostr) << delim;
      (*ostr) << v[i];
    }
  }
};
inputer in(cin);
outputer out(cout);
char getChar() {
  char c = 0;
  while (c <= ' ') cin >> c;
  return c;
}
bool willItBeAC() {
  return true;
  ;
}
int getMyRating() { return 2048; }
bool prime(long long n) {
  for (long long i = 2; i * i <= n; i++)
    if (n % i == 0) return false;
  return true;
}
vector<long long> divs(long long n) {
  vector<long long> v;
  long long i = 2;
  while (i * i <= n)
    if (n % i == 0) {
      n /= i;
      v.push_back(i);
    } else
      i++;
  v.push_back(n);
  return v;
}
long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; }
long long extGcd(long long a, long long b, long long& x, long long& y) {
  if (a == 0) {
    x = 0;
    y = 1;
    return b;
  }
  long long x1, y1, d = extGcd(b % a, a, x1, y1);
  x = y1 - (b / a) * x1;
  y = x1;
  return d;
}
template <typename T>
class fenwick {
 private:
  vector<T> t;
  int n;

 public:
  fenwick(int nn) { init(nn); }
  void init(int nn) {
    n = nn;
    t.assign(n, 0);
  }
  T sum(int r) {
    T result = 0;
    for (; r >= 0; r = (r & (r + 1)) - 1) result += t[r];
    return result;
  }
  void inc(int i, T delta) {
    for (; i < n; i = (i | (i + 1))) t[i] += delta;
  }
  T sum(int l, int r) { return sum(r) - sum(l - 1); }
  T get(int i) { return sum(i, i); }
  void put(int i, T v) { inc(i, v - sum(i, i)); }
  int size() { return n; }
};
map<pair<int, int>, vector<pair<int, int> > > m;
inline void push_map(int a, int b, int c, int d) {
  m[{min(a, b), max(a, b)}].push_back({c, d});
}
inline vector<pair<int, int> >& get_map(int a, int b) {
  return m[{min(a, b), max(a, b)}];
}
int main() {
  int n = in;
  vector<pair<int, pair<int, int> > > v;
  in.getv(v, n);
  for (int i = 0; i < n; i++) {
    push_map(v[i].first, v[i].second.first, v[i].second.second, i);
    push_map(v[i].first, v[i].second.second, v[i].second.first, i);
    push_map(v[i].second.first, v[i].second.second, v[i].first, i);
  }
  for (auto& it : m) {
    sort(it.second.begin(), it.second.end());
    reverse(it.second.begin(), it.second.end());
    it.second.push_back({0, -1});
  }
  int best_ans = 0;
  int bestA = -1, bestB = -1;
  for (int i = 0; i < n; i++) {
    int a = v[i].first, b = v[i].second.first, c = v[i].second.second;
    {
      auto& q = m.count({v[i].first, v[i].second.first})
                    ? m[{v[i].first, v[i].second.first}]
                    : m[{v[i].second.first, v[i].first}];
      int ctr = 0;
      while (ctr < q.size() && q[ctr].second == i) ctr++;
      int new_ans = min(min(v[i].first, v[i].second.first),
                        v[i].second.second + q[ctr].first);
      if (new_ans > best_ans) {
        best_ans = new_ans;
        bestA = i;
        bestB = q[ctr].second;
      }
    };
    {
      auto& q = m.count({v[i].first, v[i].second.second})
                    ? m[{v[i].first, v[i].second.second}]
                    : m[{v[i].second.second, v[i].first}];
      int ctr = 0;
      while (ctr < q.size() && q[ctr].second == i) ctr++;
      int new_ans = min(min(v[i].first, v[i].second.second),
                        v[i].second.first + q[ctr].first);
      if (new_ans > best_ans) {
        best_ans = new_ans;
        bestA = i;
        bestB = q[ctr].second;
      }
    };
    {
      auto& q = m.count({v[i].second.first, v[i].second.second})
                    ? m[{v[i].second.first, v[i].second.second}]
                    : m[{v[i].second.second, v[i].second.first}];
      int ctr = 0;
      while (ctr < q.size() && q[ctr].second == i) ctr++;
      int new_ans = min(min(v[i].second.first, v[i].second.second),
                        v[i].first + q[ctr].first);
      if (new_ans > best_ans) {
        best_ans = new_ans;
        bestA = i;
        bestB = q[ctr].second;
      }
    };
  }
  if (bestB < 0)
    out.putLn(1, "\n", bestA + 1);
  else
    out.putLn(2, "\n", bestA + 1, ' ', bestB + 1);
  return 0;
}