# Category: Microsoft Interview

## Dynamic Programming – Longest Common Subsequence

Objective: Given two string sequences, write an algorithm to find the length of longest subsequence present in both of them. These kind of dynamic programming questions are very famous in the interviews like Amazon,...

## Dynamic Programming – Coin Change Problem

Objective: Given a set of coins and amount, Write an algorithm to find out how many ways we can make the change of the amount using the coins given. This is another problem in...

## Dynamic Programming – Minimum Cost Path Problem

Objective: Given a 2D-matrix where each cell has a cost to travel. You have to write an algorithm to find a path from left-top corner to bottom-right corner with minimum travel cost. You can...

## All N Length Strings from Given String of Length K

Objective: Print All N Length Strings from Given String of Length K where characters can appear multiple time. Example: String k = “ALGO” N=2 Result: AA LA GA OA AL LL GL OL AG...

## Print All N Length Strings from Given Number K

Objective: Given Number K, Print all the strings of N length. Example: N = 2, K = 3 [1, 1] [2, 1] [3, 1] [1, 2] [2, 2] [3, 2] [1, 3] [2, 3]...

## Dynamic Programming – Subset Sum Problem

Objective: Given a set of positive integers, and a value sum S, find out if there exist a subset in array whose sum is equal to given sum S. Example: int[] A = {...

## The Word Break Problem

Objective : Given an string and a dictionary of words, find out if the input string can be broken into a space-separated sequence of one or more dictionary words. Example: dictionary = [“I” ,...

## Dynamic Programming – Longest Increasing Subsequence

Objective: The longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence in a given array such that all elements of the subsequence are sorted in increasing order. OR Given...

## Backtracking – Knight’s Tour Problem

Objective : A knight’s tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square that is...

## Backtracking – Search a Word In a Matrix

Objective : Given a 2D matrix of characters. Check whether the word exist in the matrix or not. If it exists then print its path. All movements are allowed (right, left, up, down and...

## Backtracking – N Queens Problem – Better Solution

Objective : In chess, a queen can move as far as she pleases, horizontally, vertically, or diagonally. A chess board has 8 rows and 8 columns. The standard 8 by 8 Queen’s problem asks...

## Backtracking – N Queens Problem

Objective : In chess, a queen can move as far as she pleases, horizontally, vertically, or diagonally. A chess board has 8 rows and 8 columns. The standard 8 by 8 Queen’s problem asks...

## Find the Kth Smallest/Largest Element in an Array

Objective: Given an array of integers. find the Kth Smallest/largest element in the array. Example: int[] A = { 1, 2, 10, 20, 40, 32, 44, 51, 6 }; K=4. 4th smallest element in...

## Backtracking – Rat In A Maze Puzzle

Given a maze, NxN matrix. A rat has to find a path from source to destination. maze[0][0] (left top corner)is the source and maze[N-1][N-1](right bottom corner) is destination. There are few cells which are...

## Dynamic Programming – Stairs Climbing Puzzle

Objective: A child is climbing up a staircase with n steps, and can hop either 1 step, 2 steps, or 3 steps at a time. Implement a method to count how many possible ways...