Introduction
This is one interesting problem with a non-trivial solution, this has been asked in couple of good interviews. Here goes the problem statement.
"Given K positive integer arrays, each of which contains elements in sorted order. Find a range of integers such that it must contain at least one element from each array and the range is minimum."
May be a diagram can make this more clear. Here you go!
Understanding the Minimum Range over K arrays problem.
In the above diagram we have 3 arrays each containing elements in increasing order. Now, let us identify a range which cont...

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# interview questions

## Shortest path in Binary Search Tree

Introduction
Another interview question for the most interesting data structure called BST (Binary Search Tree). To know more about BSTs check my previous post.
Problem Statement : Given a Binary Search Tree, keyed on positive integers. The task is to find the Shortest path in Binary Search Tree which adds up to the number K. If no such path exists, return a message accordingly.
Understanding the problem
A node in a binary search tree always has a higher key at its right child compared to its left child. There are many path running from the roots to the leaves. When we add up the key val...

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## Dynamic Programming – Longest Palindromic Sequence

[nextpage title="Introduction"]
Palindromes are fascinating character sequences in a string. A palindrome is a string which reads the same when read from either of the ends. This post in particular talks about palindromic sub sequences.
To know more about a sub sequence, please check my post on Longest Common Sub sequence.
A palindromic sequence means a sequence of characters which is a palindrome. Now, we must understand it clearly that we are talking about a sub sequence and not a substring.
Understanding the Longest Palindromic Subsequence problem better
It is really easy to say if...

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## Binary Tree Linking Neighbors

Introduction
Problem Statement : Given a regular binary tree with left, right and peer node pointers. The left and the right pointers are already populated. We need to make the peer pointer point to the next right neighbor on the same level.
Understanding the problem
Here is a diagram to explain what is needed. The red peer pointer points to the immediate right neighbor if the neighbor exists.
Approach 1
The first solution which comes in mind is to do a custom, level order traversal as done in the post. And, in each iteration of the inner loop, just link each of the node to the next in ...

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## Matrix Transformation to make rows and columns zero

Introduction
Another interview question about matrices. Matrices have been of great interest in programming and Linear Algebra and a matter of study for most of the programmers. The problem statement follows:
"Given a matrix A of size M * N where M is the number of rows and N is the number of columns and each of its cell A[i][j] is populated with either zero or one. Transform the matrix such that if there exists a cell A[i][j] = 0 then the row i and column j is zero in the resultant matrix".
You must not use extra space and try to solve it in lowest possible running time.
Understanding...

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