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
reader = (s.rstrip() for s in sys.stdin)
input = reader.__next__
m,n=[int(ele) for ele in input().split()]
a=[]
for i in range(m):
    a.append(list(map(int, input().split())))


ina,mo=0,10**9+1
pos1,pos2=0,0
mask=(1<<n)-1
def check(tang):
    key=set()
    dic=dict()
    for i in range(m):
        temp=0 
        for j in range(n):
            if a[i][j]>=tang:
                #print("ya")
                temp+=(1<<j)
        #print(bin(temp),a[i],tang)
        if temp in key:
            continue
        key.add(temp)
        tempk=temp
        while tempk>=0:
            tempk &= temp
            dic[tempk]=i
            tempk-=1
            
        tocheck = mask ^ temp
        #print(bin(tocheck),bin(temp),bin(mask),a[i],tang)

        if tocheck in dic:
            return dic[tocheck],i,True

    #print(dic)
    return -1,-1,False
        
while ina<mo-1:
    #print(ina,mo)
    tang=(ina+mo)//2
    #print(ina,mo,tang)
    temppos1,temppos2,status=check(tang)
    #print(status)
    if status:
        pos1,pos2=temppos1,temppos2
        ina=tang
    else:
        mo=tang
print(pos1+1,pos2+1)