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Dynamic Programming – Longest Common Subsequence

Objective: Given two string sequences, write an algorithm to find the length of longest subsequence present in both of them. These kind of dynamic programming questions are very famous in the interviews like Amazon,...


Dynamic Programming – Coin Change Problem

Objective: Given a set of coins and amount, Write an algorithm to find out how many ways we can make the change of the amount using the coins given. This is another problem in...


All N Length Strings from Given String of Length K

Objective: Print All N Length Strings from Given String of Length K where characters can appear multiple time. Example: String k = “ALGO” N=2 Result: AA LA GA OA AL LL GL OL AG...


Generate Well Ordered Passwords of a Given Length K

Objective: Generate Well Ordered Passwords of a Given Length K. Well ordered means that digits should be in increasing order in every generated password. Example: K = 7 1234567 1234568 1234569 1234578 1234579 1234589...


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” ,...


Dynamic Programming – Longest Increasing Subsequence

Objective: The longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence in a given array such that all elements of the subsequence are sorted in increasing order. OR Given...


Dynamic Programming – Stairs Climbing Puzzle

Objective: A child is climbing up a staircase with n steps, and can hop either 1 step, 2 steps, or 3 steps at a time. Implement a method to count how many possible ways...


Dynamic Programming – Minimum Coin Change Problem

Objective: Given a amount ‘A’ and n coins,   v1<v2<v3<………..<vn . Write a program to find out minimum numbers of coins required to make the change for the amount ‘A’. Example: Amount: 5 Coins []...


Print All the Subsets of a Given Set (Power Set)

Objective: Given a set of numbers, print all the posssible subsets of it including empty set. Power Set: In mathematics, PowerSet of any given set S, PS(S) is set of all subsets of S...


Print All Combinations of subset of size K from Given Array

Objective: Given an array of integers of size N, print all the subsets of size k. (k<=N) Example: Generate all subsets of a fixed size k of a given set [1,2,3…n]. e.g, if n=5...


Print All Possible Valid Combinations Of Parenthesis of Given ‘N’

Objec­tive: – Given “n”, generate all valid parenthesis strings of length “2n”. Example: Given n=2 Output: (()) ()() Approach:


Generate All Strings of n bits.

Objec­tive: – Generate All Strings of n bits, consider A[0..n-1] is an array of size n. Example : n = 3 Output: [0, 0, 0]    [1, 0, 0]    [0, 1, 0]    [1, 1, 0]...

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