This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
t = int(input())
for i in range(t):
a, b = map(int, input().split())
if a==b and a%2==0:
print(int(a/2)+b-1)
else:
print(int(a/2)+b)
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