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class Solution:
def addBinary(self, a: str, b: str) -> str:
n = len(a) if len(a) > len(b) else len(b)
a = a[::-1]
b = b[::-1]
tmp = 0
ans = ""
for i in range(n):
if i > len(b) -1:
if int(a[i]) + tmp == 2:
tmp = 1
ans += "0"
else:
ans += str(int(a[i]) + tmp)
tmp = 0
elif i > len(a) -1 :
if int(b[i]) + tmp == 2:
tmp = 1
ans += "0"
else:
ans += str(int(b[i]) + tmp)
tmp = 0
else:
if int(a[i]) + int(b[i]) + tmp == 2:
tmp = 1
ans += "0"
elif int(a[i]) + int(b[i]) + tmp == 3:
tmp = 1
ans += "1"
else:
ans += str(int(a[i]) + int(b[i]) + tmp)
tmp = 0
if tmp == 1:
ans += "1"
return ans[::-1]