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C Programming Test (High)

Useful for hiring

  • Senior Level C Programmer
  • Front End Development - C Programming 
  • Embedded C - Senior Developer 

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Question

Tanika has a set of numbers and has recently studied set theory.
She has created a power set of this set and is writing a program to compute the sum of all elements of all the subsets of a power set. 

The power set of a set X is defined as a set of all possible subsets of X.
Set X consists of all the numbers from 1 to N.

You need to calculate this sum for a given N.

Example
Given N=3,
X={1,2,3}
P(X) = {{1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}}
answer = (1)+(2)+(3)+(1+2)+(1+3)+(2+3)+(1+2+3)
= 24

Input
number N

Output
Sum of all elements of all subsets of number N

Sample Input
3

Sample Output
24


 

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