import sys
import time
import math
t1=time.clock()
count_add=0

def bin_ORing(b1,b2):
    global count_add
     # Pad the components so they are of equal length
    max_length = max(len(b1), len(b2))
    b1, b2 = b1.zfill(max_length), b2.zfill(max_length)
    
    ORbinary=''
    for i in range(0,max_length)[::-1]:
        if(b1[i] == b2[i] == '0'):
            ORbinary='0'+ORbinary
        else:
            ORbinary='1'+ORbinary
            count_add=count_add+1
    return ORbinary
            
bin_r = open("in7_10.txt",'r')
a=bin_r.read()
i=a.index(',')
p=str(a[0:i])
q=str(a[i+1:len(a)])
ORbin= bin_ORing(p,q)
bin_w = file("out_20_7_10.txt",'w')
print >>bin_w, ORbin
#bin_w.write(str(ORbin)+'\n')
bin_w.write('total no of additions is'+" "+str(count_add)+ '\n')
t2=time.clock()
bin_w.write('time taken is'+" "+ str(t2-t1)+ '\n')
bin_w.write('memory taken'+" "+ str(sys.getsizeof(bin_ORing)+sys.getsizeof(ORbin))+'\n')
bin_w.close()