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 PYTHON):

Solution:
import sys
from collections import defaultdict

MAXI = 1234567890

n, m = map(int, raw_input().split())
A = []

for i in xrange(n):
    A.append(map(int, raw_input().split()))

d = defaultdict(list)

for i in xrange(1 << m):
    for j in xrange(1 << m):
        if i | j == ((1 << m) - 1):
            d[i].append(j)

l, r = 0, MAXI

res = (-1, -1)
maxi = -1

while l <= r:
    mid = (l + r) >> 1
    dd = {}
    for i, nums in enumerate(A):
        t = 0
        for num in nums:
            t = t << 1
            if num >= mid:
                t += 1
        dd[t] = i

    flag = False
    for k1 in dd.keys():
        for k2 in d[k1]:
            if k2 in dd:
                if mid > maxi:
                    res = (dd[k1], dd[k2])
                    maxi = mid
                flag = True
                break
        if flag:
            break

    if flag:
        l = mid + 1
    else:
        r = mid - 1

print res[0] + 1, res[1] + 1