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interview-prep

Arrays

  1. Find the Kth smallest number in an array. (solution)
  2. Find the median of an array in linear time. (solution)
  3. Find the majority element of an array.
  4. Given 2 integer arrays, determine if the 2nd array is a rotated version of the 1st array. Ex. Original Array A={1,2,3,5,6,7,8} Rotated Array B={5,6,7,8,1,2,3} (solution)
  5. Dutch National Flag Problem
  6. Rotate an N*N matrix by 90 degrees

Binary Search

  1. Binary Search in a rotated sorted array.
  2. Find pivot of rotation in a rotated sorted array.
  3. Find the floor value of a key in a sorted array.
  4. Find the number of occurences of a key in a sorted array which might contain duplicate elements.

Dynamic Programming

  1. Min Coin Change Problem: You are given n types of coin denominations of values v(1) < v(2) < ... < v(n) (all integers). Assume v(1) = 1, so you can always make change for any amount of money C. Give an algorithm which makes change for an amount of money C with as few coins as possible
  2. Coin Change Problem: UVA Problem

Graphs

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