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;
const int N = 3e5 + 5, M = 10;
int n, m, a[N][M], b[N], t[1 << M], x, y;
inline bool check(int mid) {
  memset(b, 0, sizeof b);
  memset(t, 0, sizeof t);
  for (int i = 1; i <= n; i++) {
    for (int j = 1; j <= m; j++) b[i] = (b[i] << 1) | (a[i][j] >= mid);
    t[b[i]] = i;
  }
  for (int i = 1; i < (1 << m); i++)
    for (int j = 1; j < (1 << m); j++)
      if ((i | j) == (1 << m) - 1 && t[i] && t[j]) {
        x = t[i];
        y = t[j];
        return true;
      }
  return false;
}
int main() {
  cin >> n >> m;
  for (int i = 1; i <= n; i++)
    for (int j = 1; j <= m; j++) cin >> a[i][j];
  int lb = -1, rb = 1e9;
  while (lb < rb) {
    int mid = lb + rb + 1 >> 1;
    if (check(mid))
      lb = mid;
    else
      rb = mid - 1;
  }
  cout << x << ' ' << y << endl;
  return 0;
}