Category: Recursion

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Print all steps to print one string to another string

Objective: Given two strings, source string and target string, which are permutation or anagram of each other. You are allowed two swap only consecutive characters. Write an algorithm to print all the steps (...

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Find all subsets of size K from a given number N (1 to N)

Objective: Given two integers N and K, Write an algorithm to find subsets of size K from the numbers 1 to N.  Example: N = 5 K = 3 Output: [1, 2, 3] [1,...

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Find all possible combinations with sum K from a given number N(1 to N) with the repetition of numbers is allowed

Objective: Given two integers N and K, Write an algorithm to find possible combinations that add to K, from the numbers 1 to N.  Condition: An integer from 1 to N can be repeated...

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Given an array, print all unique subsets with a given sum.

Objective: Given an array of integers and number N, Write an algorithm to find and print all the subsets of the array for which sum is equal to N. Example: input [] = {6,2,7,8,2,4,1,3,7,5}...

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

Objective: Given an integer N, Write an algorithm to select numbers from 1 to 9 and make combinations such that its sum to N.  Example: N= 5 Output:  [1, 4] [2, 3] [5] N...

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Find the number of distinct Islands OR connected components.

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

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Number of Islands using BFS

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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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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