Problem 1 (Other ) :

Evaluate the value of an arithmetic expression in Reverse Polish Notation .
Valid operators a re + , −, ∗ , /. Each operand may be an integer or another expression .
Some examples :

[ " 2 " , " 1 " , "+ " , " 3 " , " ∗ " ] −> ( ( 2 + 1) ∗ 3) −> 9
[ " 4 " , " 13 " , " 5 " , "/ " , "+ " ] −> (4 + (1 3 / 5) ) −> 6

Problem 2 (Search - Binary Search) :

 * Implement a fast Integer square root Function takes
 *  in a 32-bit unsigned Integer and returns another 32-bit unsigned integer
 *  that is the floor of the square root of the input
 
 
Problem 3(Search - Binary Search) :
 
 Write a method that takes a sorted array A of integers and a key k md
return the index of first occurrence of k h A return -l if k does not
appear in A. Write tests to verify your code.

Problem 4(Search - Binary Search):

 * Design an efficient algorithm that finds the next index of first occurrence  an element
 * larger than specified key k, return -1 if every element is less than or equal to k 
 
Problem 5(Other):
  *  write efficient algorithm that return fibonacci sequence 
 
Problem 5(Search - Binary Search)
  * suppose you do not know the length of array a in advance , accessing a[i] for i 
 * beyond the end of the array throws an exception
 * find the index of the first occurrence in a specified key k , return -1 if
 * k does not appear in a
 
Problem 6(Search - Binary Search)
 * Given a sorted array a,b of length m,n find intersections between two arrays

Problem 7(Search - Hashing)
# Given a dictionary of  of english words, return the set of all words grouped into subsets of words that are
# all anagrams for each other

Problem 8(Search - Hashing)
Design m efficient algorithm for determining if there exist
a pair of indices (not necessarily distinct) such that a[i]+a[j]=8

Problem 9 (Search)

Given a robot with the energy regeneration ability
described above, the mass of the robot m and a sequence of three dimensional
co-ordinates that the robot needs to traverse, how would
you determine the minimum battery capacity needed for the robot to
complete the trajectory? (Assume the robot starts with a ull charged
battery and the battery is used only for overcoming gravity)