Category: Recursion

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Collatz Conjecture – Maximum Steps takes to transform (1, N) to 1.

Objective: Given a number N, write an algorithm to find the maximum number of steps it takes to transform (1, N) to 1 using Collatz Conjecture.  The Collatz conjecture is a conjecture in mathematics...

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Print Stack in reverse order.

Objective: Given a stack, write a program to print the stack elements in reverse order. Example: Approach: Use Temporary stack: Take temporary stack, and copy all the items from the given stack to a...

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Given an array, Print sum of all subsets

Objective: Given an array of numbers, write an algorithm to print all the subsets sum individually.   Example: Given Input: [1, 2] Output: 3 1 2 0 Explanation: subsets are [0], [1], [2], [1, 2]...

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Find all unique combinations of exact K numbers (from 1 to 9 ) with sum to N

Objective: Given two integers N and K. Write an algorithm to find all the combinations of k numbers which sum to N.  Conditions:  All K numbers must be between 1 and 9 and unique....

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Print all subsets of an array with a sum equal to zero

Objective: Given an array of integers write an algorithm to find all the subsets for which sum is equal to zero. The array contains both positive and negative integers. Example: Given Array: [8, 3,...

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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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