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Merge elements

Problem Description

Given an integer array A of size N. You have to merge all the elements of the array into one with the minimum possible cost.

The rule for merging is as follows:

• Choose any two adjacent elements of the array with values say X and Y and merge them into a single element with value (X + Y) paying a total cost of (X + Y).
• Return the minimum possible cost of merging all elements.

Problem Constraints

1 <= N <= 200

1 <= A[i] <= 103

Input Format

First and only argument is an integer array A of size N.

Output Format

Return an integer denoting the minimum cost of merging all elements.

Example Input

Input 1:

` A = [1, 3, 7]`

Input 2:

` A = [1, 2, 3, 4]`

Example Output

Output 1:

` 15`

Output 2:

` 19`

Example Explanation

Explanation 1:

``` All possible ways of merging:
a) {1, 3, 7} (cost = 0) -> {4, 7} (cost = 4) -> {11} (cost = 4+11 = 15)
b) {1, 3, 7} (cost = 0) -> {1, 10} (cost = 10) -> {11} (cost = 10+11 = 21)
Thus, ans = 15```

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 question? Checkout Sample Codes for more details.
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