# HackerRank ‘Halloween Party’ Solution

##### Short Problem Definition:

Alex is attending a Halloween party with his girlfriend Silvia. At the party, Silvia spots the corner of an infinite chocolate bar.

If the chocolate can be served as only 1 x 1 sized pieces and Alex can cut the chocolate bar exactly *K* times, what is the maximum number of chocolate pieces Alex can cut and give Silvia?

##### Link

##### Complexity:

time complexity is O(1);

space complexity is O(1)

##### Execution:

The product a*b (where a+b = k) is maximal, when a is close to b as possible. We can only use integral values, so a and b are rounded halves of k.

##### Solution:

#!/usr/bin/py def oneOneBars(K): half = K//2 return half * (K-half) if __name__ == '__main__': t = input() for _ in xrange(t): k = input() print oneOneBars(k)

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