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Magician and Chocolates

Given N bags, each bag contains Ai chocolates. There is a kid and a magician. In one unit of time, kid chooses a random bag i, eats Ai chocolates, then the magician fills the ith bag with floor(Ai/2) chocolates.

Given Ai for 1 <= i <= N, find the maximum number of chocolates kid can eat in K units of time.

For example,

K = 3
N = 2
A = 6 5

Return: 14

At t = 1 kid eats 6 chocolates from bag 0, and the bag gets filled by 3 chocolates
At t = 2 kid eats 5 chocolates from bag 1, and the bag gets filled by 2 chocolates
At t = 3 kid eats 3 chocolates from bag 0, and the bag gets filled by 1 chocolate
so, total number of chocolates eaten: 6 + 5 + 3 = 14

Note: Return your answer modulo 10^9+7

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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