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 MAXN = 3e5 + 5;
int a[MAXN][1 << 3];
int f[1 << 8];
int id1, id2;
int n, m;
bool check(int ans) {
  for (int i = 0; i < 1 << m; i++) {
    f[i] = 0;
  }
  int mx = (1 << m) - 1, temp;
  for (int i = 1; i <= n; i++) {
    temp = 0;
    for (int j = 0; j < m; j++) {
      if (a[i][j] >= ans) temp |= 1 << j;
    }
    for (int x = temp; x; x = (x - 1) & temp) {
      if (f[x]) break;
      f[x] = i;
    }
    f[0] = i;
    temp ^= mx;
    if (f[temp]) {
      id1 = i, id2 = f[temp];
      return true;
    }
  }
  return false;
}
int main() {
  scanf("%d%d", &n, &m);
  for (int i = 1; i <= n; i++) {
    for (int j = 0; j < m; j++) {
      scanf("%d", &a[i][j]);
    }
  }
  int L = 0, R = 1 << 30, mid;
  while (L <= R) {
    mid = L + R >> 1;
    if (check(mid)) {
      L = mid + 1;
    } else {
      R = mid - 1;
    }
  }
  printf("%d %d", id1, id2);
  return 0;
}