Problem: You are given n arrays a_1, a_2, ..., a_n; each array consists of exactly m integers. We denote the y-th element of the x-th array as a_{x, y}.

You have to choose two arrays a_i and a_j (1 ≤ i, j ≤ n, it is possible that i = j). After that, you will obtain a new array b consisting of m integers, such that for every k ∈ [1, m] b_k = max(a_{i, k}, a_{j, k}).

Your goal is to choose i and j so that the value of min _{k = 1}^{m} b_k is maximum possible.

Input

The first line contains two integers n and m (1 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 8) — the number of arrays and the number of elements in each array, respectively.

Then n lines follow, the x-th line contains the array a_x represented by m integers a_{x, 1}, a_{x, 2}, ..., a_{x, m} (0 ≤ a_{x, y} ≤ 10^9).

Output

Print two integers i and j (1 ≤ i, j ≤ n, it is possible that i = j) — the indices of the two arrays you have to choose so that the value of min _{k = 1}^{m} b_k is maximum possible. If there are multiple answers, print any of them.

Example

Input


6 5
5 0 3 1 2
1 8 9 1 3
1 2 3 4 5
9 1 0 3 7
2 3 0 6 3
6 4 1 7 0


Output


1 5

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  ;
  int i = 0, j = 0, cs = 0, in;
  int n, m;
  cin >> n >> m;
  vector<vector<int> > v;
  v.resize(n, vector<int>(m));
  for (i = 0; i < n; i++)
    for (j = 0; j < m; j++) cin >> v[i][j];
  int l = 0, r = 1e9;
  int a1 = -1, a2 = -1;
  while (l <= r) {
    int mid = l + r >> 1;
    vector<int> mask((1 << m), -1);
    for (i = 0; i < n; i++) {
      int cur = 0;
      for (j = 0; j < m; j++) {
        if (v[i][j] >= mid) cur ^= 1 << j;
      }
      mask[cur] = i;
    }
    bool f = 0;
    for (i = 0; i < (1 << m); i++) {
      for (j = 0; j < (1 << m); j++) {
        if (mask[i] != -1 && mask[j] != -1 && (i | j) == (1 << m) - 1) {
          a1 = mask[i];
          a2 = mask[j];
          f = 1;
          break;
        }
      }
    }
    if (f)
      l = mid + 1;
    else
      r = mid - 1;
  }
  cout << a1 + 1 << " " << a2 + 1 << "\n";
  return 0;
}