## Detect Cycle in a Directed Graph1

Title: Detect Cycle in a Directed Graph Source: www.geeksforgeeks.org Given a directed graph, check whether the graph contains a cycle or not. Your function should return true if the given graph contains at least one cycle, else return false. For example, the following graph contains three cycles 0->2->0, 0->1->2->0 and 3->3, so your function must ...

## Fancy Numbers

Title: Check if a given number is Fancy Source: www.geeksforgeeks.org A fancy number is one which when rotated 180 degrees is the same. Given a number, find whether it is fancy or not. 180 degree rotations of 6, 9, 1, 0 and 8 are 9, 6, 1, 0 and 8 respectively Examples: Input: num = ...

## Design a tiny URL or URL shortener8

Title: How to design a tiny URL or URL shortener? Source: www.geeksforgeeks.org How to design a system that takes big URLs like “http://www.geeksforgeeks.org/count-sum-of-digits-in-numbers-from-1-to-n/” and converts them into a short 6 character URL. It is given that URLs are stored in database and every URL has an associated integer id. One important thing to note is, ...

## Determine if a binary tree is height-balanced

Title: How to determine if a binary tree is height-balanced? Source: www.geeksforgeeks.org A tree where no leaf is much farther away from the root than any other leaf. Different balancing schemes allow different definitions of “much farther” and different amounts of work to keep them balanced. Consider a height-balancing scheme where following conditions should be ...

## Rat in a Maze

Title: Rat in a Maze Source: www.geeksforgeeks.org Let us discuss Rat in a Maze as another example problem that can be solved using Backtracking. A Maze is given as N*N binary matrix of blocks where source block is the upper left most block i.e., maze[0][0] and destination block is lower rightmost block i.e., maze[N-1][N-1]. A ...

## Check if a binary tree is BST

Title: A program to check if a binary tree is BST or not Source: www.geeksforgeeks.org A binary search tree (BST) is a node based binary tree data structure which has the following properties. • The left subtree of a node contains only nodes with keys less than the node’s key. • The right subtree of ...

## Path Sum II

Title: Path Sum II Source: leetcode.com Given a binary tree and a sum, find all root-to-leaf paths where each path’s sum equals the given sum. sum = 22 5 / \ 4 8 / / \ 11 13 4 / \ / \ 7 2 5 1 1234567               5             / \            4   8           /   / \          11  13  4         ...

## Game of Life

Title: Game of Life Source: leetcode.com According to the Wikipedia’s article: “The Game of Life, also known simply as Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970.” Given a board with m by n cells, each cell has an initial state live (1) or dead (0). Each cell ...

## Word Search

Title: Word Search Source: leetcode.com Given a 2D board and a word, find if the word exists in the grid. The word can be constructed from letters of sequentially adjacent cell, where “adjacent” cells are those horizontally or vertically neighboring. The same letter cell may not be used more than once. For example, Given board ...

## Word Pattern

Title: Word Pattern Source: leetcode.com Given a pattern and a string str, find if str follows the same pattern. Here follow means a full match, such that there is a bijection between a letter in pattern and a non-empty word in str. Examples: pattern = "abba", str = "dog cat cat dog" should return true. ...