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 n, m;
vector<vector<int> > a;
int a1, a2;
bool can(int mid) {
  vector<int> msk(1 << m, -1);
  for (int i = 0; i < n; i++) {
    int cur = 0;
    for (int j = 0; j < m; j++)
      if (a[i][j] >= mid) cur ^= (1 << j);
    msk[cur] = i;
  }
  if (msk[(1 << m) - 1] != -1) {
    a1 = a2 = msk[(1 << m) - 1];
    return true;
  }
  for (int i = 0; i < (1 << m); i++)
    for (int j = 0; j < (1 << m); j++)
      if (msk[i] != -1 && msk[j] != -1 && (i | j) == (1 << m) - 1) {
        a1 = msk[i];
        a2 = msk[j];
        return true;
      }
  return false;
}
int main() {
  scanf("%d %d", &n, &m);
  a.resize(n, vector<int>(m));
  for (int i = 0; i < n; i++)
    for (int j = 0; j < m; j++) scanf("%d", &a[i][j]);
  int lf = 0;
  int rg = int(1e9) + 43;
  while (rg - lf > 1) {
    int m = (lf + rg) / 2;
    if (can(m))
      lf = m;
    else
      rg = m;
  }
  assert(can(lf));
  printf("%d %d\n", a1 + 1, a2 + 1);
}