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class (object):
def addBit(self, a, b, c):
s = int(a) + int(b) + int(c)
return divmod(s, 2)
def reverse(self, arr):
n = len(arr)
for i in xrange(n / 2):
arr[i], arr[n - 1 - i] = arr[n - 1 - i], arr[i]
def addBinary(self, a, b):
"""
:type a: str
:type b: str
:rtype: str
"""
m, n = len(a), len(b)
if m > n:
return self.addBinary(b, a)
rs = []
c = 0
for i in xrange(m):
c, x = self.addBit(a[m - 1 - i], b[n - 1 - i], c)
rs.append(str(x))
for i in xrange(m, n):
c, x = self.addBit(b[n - 1 - i], 0, c)
rs.append(str(x))
if c == 1:
rs.append('1')
self.reverse(rs)
return ''.join(rs)
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