Allowance (3) X30229
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You have saved n euros. Additionally, every Monday of the forthcoming weeks you will be given a weekly allowance. On odd weeks, you get ao euros, while on even weeks you will receive ae euros. On the i-th week, your amount of expenses sums up to di euros. The first week is the week i=1 and, therefore, it is an odd week.
Write a program that computes the balance at the end of each week.
Input
The input consists of three natural numbers, ao ≥ 0, ae ≥ 0 and n ≥ 0. Representing the allowance on odd weeks, the allowance on even weeks and the initial savings, respectively.
Following, there is a non-empty sequence of natural numbers where
each element di≥ 0. Each element di represents the
expenses of the i-th week.
Output
The output is a sequence of integers. Each element of this sequence bi indicates the balance at the end of the i-th week, once the corresponding expenses are payed.
Follow the format specified in the examples.
Your code should follow the rules of style and contain the comments
that you deem appropriate.
Input
10 5 100 70 10 10 25 25 25 25 25
Output
40 35 35 15 0 -20 -35 -55
Input
5 10 90 100 10 10 10
Output
-5 -5 -10 -10
Input
10 0 100 110 0 10 0 10
Output
0 0 0 0 0
Input
0 0 5 1 1 1 1 1
Output
4 3 2 1 0