Objective: Given an array of integers and number N, Write an algorithm to find and print all the unique subsets of array for which sum is equal to N where array elements can be repeated any number of times. Example: int [] arrA={2,4,3} sum =6 Output: [2, 2, 2] [2, 4] [3, 3] int [] … Read more
Objective: Given an array of integers (in particular order or permutation of a set of numbers), write an algorithm to find the lexicographically next permutation of the given permutation with only one swap. This problem can also be asked as “Given a permutation of numbers you need to find the next larger permutation OR smallest … Read more
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 horizontally or vertically. Assume all four edges of the grid are all surrounded by water. Given such a grid, write an … Read more
Objective: Given a graph represented by the adjacency List, write a Depth-First Search(DFS) algorithm to check whether the graph is bipartite or not. Earlier we have solved the same problem using Adjacency Matrix (Check if Graph is Bipartite – Adjacency Matrix) with Time complexity: O(V2) where V – No of vertices in the graph. In … Read more
Earlier we had discussed how to evaluate prefix expression where operands are of single-digit. In this article, we will discuss how to evaluate prefix expression for any number ( not necessarily single digit.) Prefix notation is a notation for writing arithmetic expressions in which the operands appear after their operators. Let’s assume the below Operands … Read more
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, we need two recursive functions. reverse() and insert_at_bottom(). reverse() – this function will be called by the driver. In this function, … Read more
Objective: Given a Prefix expression, write an algorithm to convert it into Postfix expression. Example: Input: Prefix expression: + A B Output: Postfix expression: A B + Input: Prefix expression: *-A/BC-/AKL Output: Postfix expression: ABC/-AK/L-* Approach: Use Stacks Algorithm: Iterate the given expression from right to left, one character at a time If the character … Read more
Objective: Given a stack of integers, write an algorithm to sort the stack using a temporary stack. Example: Given Stack: [14, 9, 67, 91, 101, 25] Sorted Stack: [9, 14, 25, 67, 91, 101] Approach: Use another stack, let’s call it a temporary stack. While given original is not empty Pop the element from the … Read more
Objective: Given a Postfix expression, write an algorithm to convert it into prefix expression. Example: Input: Postfix expression: A B + Output: Prefix expression- + A B Input: Postfix expression: ABC/-AK/L-* Output: Infix expression: *-A/BC-/AKL Approach: Use Stack Algorithm: Iterate the given expression from left to right, one character at a time If the character … Read more
Objective: Given an Integer, write a program to convert it to Roman number. This problem can be stated as “Convert Decimal to Roman String” OR “Convert numeral value to Roman numeral”. Roman Number – Letters used in Roman numerals and the corresponding numerical values are given in the table below. Rules: Roman numerals are … Read more
Objective: Given a Postfix expression, write an algorithm to convert it into Infix expression. Example: Input: Postfix expression: A B + Output: Infix expression- (A + B) Input: Postfix expression: ABC/-AK/L-* Output: Infix expression: ((A-(B/C))*((A/K)-L)) Approach: Use Stack Algorithm: Iterate the given expression from left to right, one character at a time If a character … Read more
Objective: Given a Prefix expression, write an algorithm to convert it into Infix expression. Example: Input: Prefix expression: + A B Output: Infix expression- (A + B) Input: Prefix expression: *-A/BC-/AKL Output: Infix expression: ((A-(B/C))*((A/K)-L)) Approach: Use Stacks Algorithm: Iterate the given expression from right to left (in reverse order), one character at a time … Read more
Objective: Given an Infix expression, write an algorithm to convert it into Prefix expression. Example: Input: Infix expression – A + B Output: Prefix expression- +AB Input: Infix expression – A+B*(C^D-E) Output: Prefix expression- +A*B-^CDE Approach: Use Stack Operator stack: This stack will be used to keep operations (+, -, *, /, ^) Order of … Read more
Objective: Given a directed graph that represents a flow network involving source(S) vertex and Sink (T) vertex. Each edge in the graph has an individual capacity which is the maximum flow that edge allows. Flow in the network has the following restrictions- Input flow must match to output flow for each node in the graph, … Read more
Objective: Given an Infix expression, write an algorithm to convert it into Postfix expression. Example: Input: Infix expression – A + B Output: Postfix expression- AB+ Input: Infix expression – A+B*(C^D-E) Output: Postfix expression- ABCD^E-*+ Approach: Use Stacks Operator stack: This stack will be used to keep operations (+, -, *, /, ^) Order of … Read more