This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
k, d, t = map(int, input().split())
if k < d:
period = d
else:
period = ((k + d - 1) // d) * d
cooking = period + k
num = 2*t // cooking
ans = num * period
carry = 2*t - num * cooking
if carry > 2*k:
ans += carry - k
else:
ans += carry / 2
print('%f' % ans)
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