Category: Recursion

3

Dynamic Programming – Maximum Product Cutting Problem.

Objective: Given a rope of length n meters, write an algorithm to cut the rope in such a way that product of different lengths of rope is maximum. At least one cut has to...

11

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,...

2

Dynamic Programming – Rod Cutting Problem

Objective: Given a rod of length n inches and a table of prices pi, i=1,2,…,n, write an algorithm to find the maximum revenue rn obtainable by cutting up the rod and selling the pieces....

8

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...

1

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...

0

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...

0

Print All N Length Strings from Given Number K

Objective: Given Number K, Print all the strings of N length. Example: N = 2, K = 3 [1, 1] [2, 1] [3, 1] [1, 2] [2, 2] [3, 2] [1, 3] [2, 3]...

16

Print All Possible Subsets with Sum equal to a given Number

Objective: Given a number N, Write an algorithm to print all possible subsets with Sum equal to N This question has been asked in the Google for software engineer position. Example: N=4 1111 112...

9

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” ,...

3

Backtracking – Knight’s Tour Problem

Objective : A knight’s tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square that is...

0

Backtracking – Search a Word In a Matrix

Objective : Given a 2D matrix of characters. Check whether the word exist in the matrix or not. If it exists then print its path. All movements are allowed (right, left, up, down and...

3

Backtracking – N Queens Problem – Better Solution

Objective : In chess, a queen can move as far as she pleases, horizontally, vertically, or diagonally. A chess board has 8 rows and 8 columns. The standard 8 by 8 Queen’s problem asks...

4

Backtracking – N Queens Problem

Objective : In chess, a queen can move as far as she pleases, horizontally, vertically, or diagonally. A chess board has 8 rows and 8 columns. The standard 8 by 8 Queen’s problem asks...

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