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"""

Given two binary strings,

return their sum (also a binary string).

For example,

a = "11"

b = "1"

Return "100".

"""

def add_binary(a, b):

s = ""

c, i, j = 0, len(a)-1, len(b)-1

zero = ord('0')

while (i >= 0 or j >= 0 or c == 1):

if (i >= 0):

c += ord(a[i]) - zero

i -= 1

if (j >= 0):

c += ord(b[j]) - zero

j -= 1

s = chr(c % 2 + zero) + s

c /= 2

return s