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 PYTHON3):

Solution:
import sys
input = sys.stdin.buffer.readline
n,m=map(lambda x:int(x), input().split())
A = []
for _ in range(n):
    scores = list(map(lambda x:int(x), input().split()))
    A.append(scores)

def solve(n,m,A):
    # O(31*( 5*n + 4**5 ))
    # all index from 0
    ans = ()
    nstats = 2**m
    def judge(finalScore):
        nonlocal ans
        seen = {}
        for i,scores in enumerate(A):
            sta = 0
            for e in scores:
                sta=sta*2+(e>=finalScore)
            # example [1,2,3,4,1], finalScore=3
            # sta = 0b00110
            seen[sta]=i
        
        for i in range(nstats):
            for j in range(nstats):
                if ((i|j) == nstats-1) and i in seen and j in seen:
                    ans = (seen[i], seen[j])
                    return True

        return False
    
    l=0
    r=2**31-1
    while l<r:
        m=l+(r-l)//2
        if not judge(m):
            r=m
        else:
            l=m+1
    # Highest score is l-1
    print(ans[0]+1,ans[1]+1) # answer index start from 1

solve(n,m,A)