EV Minimize Array Cost asked in Infosys- march 2022 (available in c++ only)

                                                             EV_Minimize Array Cost



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len(arr)-1

Σ(arri-arri-1)²

i=1

len(arr) is the size of the array.

Insert any integer at any location of the array such that the cost of the array is minimized. Find the minimum possible cost of the array after inserting exactly one element.

Example a= [1, 3, 5, 2, 10]

The cost of the array before insertion =(1-37+(3-57+(5-2)²+(2-102²=81.

Two of many scenarios are shown below.

1. Insert 4 between 3 and 5, cost of array = (1-37+(3-47+(4-57+(5-2)²+(2

107²2² = 79.

2. Insert 6 between 2 and 10, cost of array =(1-37+(3-5)+(5-27²+(2-67² + (6

107² = 49.

It can be proven that 49 is the minimum cost possible. Return 49.

Function Description Complete the function getMinimumCost in the editor below.


mumest fas the following parameter

arrfet an array of ietsgers

1

A

Returns

10

long in the minimum possible cont of the array after inserting one element


Constraints

► Input Format For Custom Testing

21

Sample Case O

Sample Input For Custom Testing

STDIN

FUNCTION

→ arr =

arr [4, 7, 1, 4]

Sample Output

36

Explanation

The cost of the array before insertion = (4-77 +(7-17 +(1-47²=54. Insert 5 between 4 and 7, cost = (4-5)2+(5-77 +(7-17+(1-47-50.

Insert 4 between 7 and 1, cost = (4-7)+(7 - 47² + (4 - 17² + (1 - 47)²=36.











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