#!/usr/bin/env python3

import sys

line_count = 0
lines = []

def search_elements(mylist, position=0, search='most'):
    # print('position: {}, search: {}'.format(position, search))
    # print('list: {}'.format(mylist))
    
    # break if only one element
    if len(mylist) == 1:
        return mylist[0]

    list_length = len(mylist)
    erg = 0
    OneArray = []
    NullArray = []
    
    for elem in mylist:
        # elem_length = len(elem)
        if int(elem[position]) == 1:
            erg = erg + 1
            OneArray.append(elem)
        else:
            NullArray.append(elem)

    if search == 'most':
        if erg == list_length/2:        
            return search_elements(OneArray, position=position+1, search=search)
        elif erg > list_length/2:        
            return search_elements(OneArray, position=position+1, search=search)
        else:
            return search_elements(NullArray, position=position+1, search=search)

    if search == 'least':
        if erg == list_length/2:        
            return search_elements(NullArray, position=position+1, search=search)        
        if erg < list_length/2:        
            return search_elements(OneArray, position=position+1, search=search)
        else:
            return search_elements(NullArray, position=position+1, search=search)
    
            
with open('input.txt', 'r') as myfile:
    for line in myfile:
        lines.append(line)
        
    line_count = len(lines)


most = search_elements(lines, position=0, search='most')
least = search_elements(lines, position=0, search='least')
print(most)
print(least)

print(int(most, 2) * int(least, 2))
    

sys.exit()