Category: Facebook

3

Count and print all Subarrays with product less than K in O(n)

Objec­tive:  Given an array of positive integers and integer ‘K’. Write an algorithm to count all the possible sub arrays where product of all the elements in the sub array is less than k. Example:...

0

Graph – Print all paths between source and destination

Objective: Given a graph, source vertex and destination vertex. Write an algorithm to print all possible paths between source and destination. This problem also is known as “Print all paths between two nodes” Example::...

1

Print all sub sequences of a given array

Objec­tive:  Given an array write an algorithm to print all the possible sub subsequences. Example: int [] a = {1, 2, 3}; Output: Possible sub sequences – {Empty}, {1}, {2}, {3}, {1, 2} ,{1,3}, {2,...

2

Print all subarrays of a given array

Objec­tive:  Given an array write an algorithm to print all the possible sub arrays. Example: int [] a = {1, 2, 3}; Output: Possible subarrays – {1}, {2}, {3}, {1, 2} , {2, 3}, {1,...

5

Find local minimum or local maximum in O(1).

Objec­tive: Given an array such that every next element differs from the previous by +/- 1. (i.e. a[i+1] = a[i] +/-1 ) Find the local max OR min in O(1) time. The interviewer mentioned one...

1

Stock Single Sell Problem – O(n) Solution

Objec­tive:  Given an array represents cost of a stock on each day. You are allowed to buy and sell the stock only once. Write an algorithm to maximize the profit in single buy and sell....

2

Maximum difference between two elements where larger element appears after the smaller element

Objective: Given an array A[], write an algorithm to find Maximum difference between two elements where larger element appears after the smaller element or in other words find A[i] and A[j] such that A[j]-A[i]...

2

Single Threaded Binary Tree Complete Implementation

In earlier article “Introduction to Threaded Binary Tree” we have seen what is threaded binary tree, types of it and what advantages it has over normal binary tree. In this article we will see...

16

Print All Possible Subsets with Sum equal to a given Number

Objective: Given a number N, Write an algorithm to print all possible subsets with Sum equal to N This question has been asked in the Google for software engineer position. Example: N=4 1111 112...

9

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” ,...

3

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...

0

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...

3

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...

4

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...

6

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...

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