Category: Recursion

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Number of Islands

Objective: Given a 2d grid map of ‘1’s (land) and ‘0’s (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. Assume...

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Minimum No of operations required to convert a given number to 1 – Integer Replacement Problem.

Objective: Given a number N, write an algorithm to convert that number to 1. Below are the allowed operations. If N is even, do N = N/2. If N is odd, either do N...

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Reverse a Stack using recursion – In Place (Without using extra memory)

Objective: Given a Stack, write an algorithm to reverse the stack. Example: Original Stack: [14, 9, 67, 91, 101, 25] Reversed Stack: [25, 101, 91, 67, 9, 14] Approach: Use Recursion In this solution,...

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Generate all the strings of length n from 0 to k-1.

Objective: Given two numbers, n and k (k>=n), write an algorithm to generate all the strings of length n drawn from 0 – k-1. Example: k = 2, n = 2Output:  0 0      0...

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Graph – Find Cycle in Undirected Graph using Disjoint Set (Union-Find)

Objective: Given a graph, check if the graph contains a cycle using disjoint set. Note: Disjoint-set data structure, also called a union–find data structure or merge–find set. Example: Earlier in Detect Cycle in Undirected Graph using DFS we...

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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,...

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Text Justification Problem (OR Word Wrap Problem)

Objec­tive:  Given a list of words and length L. Format the words so that each line will have only L characters and fully justified (left and right justified). Restrictions- You need to fit as many...

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Divide and Conquer – Rearrange array elements in special order

Objec­tive:  Given an array of integers of size 2n, write an algorithm to arrange them such that first n elements and last n elements are set up in alternative manner. Say n = 3 and...

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Find the local minima in a given array

Objec­tive:  Given an array of integer write an algorithm to find the local minima. Local Minima: An element is considered as local minima if it is less than both of its neighbors (if neighbors exist)....

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