Consider there are n integers. I have to pick one Random integer 'R' and i have to subtract 'R' with each element of the 'N' integers. Result has to be added. Result that i will achieve should be the minimum value
Consider the usecase:
N elements : 1 5 10
Consider i am choosing 10 as random number Now,
|1-10|+|5-10|+|10-10| = 14
Consider i am choosing another random number '5'
|1-5|+|5-5|+|10-5| = 9
So choosing the random number 5 is best because final result is lower when compared to the previous one.
Here random number '5' is not an answer too. I need to pick the correct number to achieve the minimum cost.
How to solve this problem without brute force method?