/algorithms_and_data_structures

160+ Algorithm & Data Structure Problems using C++

Primary LanguageC++GNU General Public License v2.0GPL-2.0

Data Structure and Algorithms Problems

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Current Status Stats
Total Problems 165

LinkedList Problems

Problem Solution
Find the nth node of linked list from last. nthToLastNode.cpp
Add numbers where each digit of the number is represented by node of a linkedlist. Give output as a linked list. add_two_numbers_lists.cpp
Swap nodes of a linkedlist without swapping data. swapNodesWithoutSwappingData.cpp
Reverse a linked list, iteratively and recursively reverseLinkedListIterAndRecurse.cpp
Given a linked list, reverse alternate nodes and append at the end. reverseAlternateNodes.cpp
Only given a node pointer, delete the node from the linked list. deleteNode.cpp
Delete the entire linkedlist. deleteLinkedlist.cpp
Print middle node of linkedlist without iterating twice. printMiddleNode.cpp
Determine if a linked list is a pallindrome. listPallindrome.cpp
Insert data in a sorted linked list. insertInASortedLinkedList.cpp
Determine the intersection(merging) point of two given linked list. findIntersectionPointOfLists.cpp
Clone a linkedlist which has next and an random pointer, Space Complexity - O(1). cloneListWithRandomPtr.cpp
Given a sorted linked list with duplicates, remove duplicates in one iteration. removeDuplicatesFromSortedList.cpp
Using Floyd's cycle finding algorithm, detect if a linkedlist contain cycle, if it does contain cycle, remove the loop floyedCycleDetection.cpp
Sort a linked list using merge sort merge_sort.cpp
Given a singly linked list L0 -> L1 -> … -> Ln-1 -> Ln. Rearrange the nodes in the list (in place) so that the new formed list is : L0 -> Ln -> L1 -> Ln-1 -> L2 -> Ln-2 .... rearrange_list.cpp

Include

Include contains single header implementation of data structures and some algorithms.

Data Structure/Algorithm Implementation
Generic Macros and Algorithms like swap, random number generation generic.h
Generic Stack Implementation stack.h
Generic Queue Implementation queue.h
Generic List Implementation list.h
Binary Search Tree Implementation binarySearchTree.h
Quick Sort Implementation quickSort.h
Merge Sort Implementation mergeSort.h
Selection Sort Implementation selectionSort.h
Bubble Sort Implementation bubbleSort.h
Linux Kernel Double LinkedList Implementation double_linked_list.h
Generic Graph Implementation (Adjacency List) graph.h
Heap Sort Implementation heap_sort.h
My own string library implementation pstring.h pstring.cpp

Bit Manipulation Problems

Problem Solution
Determine if a number is a power of 2. power_of_2.cpp
Add two binary number represented as string. addBin.cpp
Determine the next power of 2 for a given number. next_power_of_2.cpp
Using bit manipulation determine if a number is multiple of 3. multiple_of_3.cpp
Determine endianess of the machine, print a number in reverse Endianess. reverseEndianness.cpp
Find the parity of given number. find_parity.cpp
Implement fast multiplication of a number to 7 using bit manipulation. multiply_by_7.cpp
Reverse bits of unsigned integer (two methods - Reversing bit by bit & divide and conquer). reverseBitsOfAnInteger.cpp
Small function to determine position of right most set bit in a given integer. right_most_set_bit.cpp
Given a vector of numbers, only one number occurs odd number of times, find the number. find_odd_one_out.cpp
Given two integers, determine if their sum would be interger overflow. integerOverflow.cpp
How many bit flip operation would require to convert number A to B. countNumberOfBitFlips.cpp
Given a number x and two positions (from right side) in binary representation of x, write a function that swaps n right bits at given two positions and returns the result. It is also given that the two sets of bits do not overlap. swapSetOfBits.cpp
Add two numbers without using any arithmetic operators addition_without_operators.cpp
Louise and Richard play a game. They have a counter set to N. Louise gets the first turn and the turns alternate thereafter. In the game, they perform the following operations:
  • If N is not a power of 2, reduce the counter by the largest power of 2 less than N.
  • If N is a power of 2, reduce the counter by half of N.
The resultant value is the new N which is again used for subsequent operations.The game ends when the counter reduces to 1, i.e., N == 1, and the last person to make a valid move wins.
  • Given N, your task is to find the winner of the game. If they set counter to 1, Richard wins, because its Louise' turn and she cannot make a move.
  • Input Format : -The first line contains an integer T, the number of testcases. T lines follow. Each line contains N, the initial number set in the counter.
 counter_game.cpp
Determine if two integers are of opposite signs. check_opposite_signs.cpp
Swap two bits at position p and q of a given integer. swapBits.cpp
Check if a number is power of 4. check_if_power_of_4.cpp

Cracking the coding interview problems

Problem Solution
Problem 1-1 : Edition 6: Write an algorithm to determine whether a string has unique characters or not. Can we do it without using addtional data structures? 1-1-hasUniqueChars.cpp
Problem 1-2 : Edition 5: Reverse a string when you are a pass a null terminated C string. 1-2-edi5-reverseString.cpp
Problem 1-2 : Edition 6: Given two strings, determine if one is permutation of other. 1-2-perm-strings.cpp
Problem 1-3 : Edition 5: Write an algorithm to remove duplicate chars from a string. 1-3-edi5-removeDuplicates.cpp
Problem 1-3 : Edition 6: URLify: Replace all the spaces in a string with '%20'. Preferebly Inplace 1-3-URLify.cpp
Problem 1-4 : Edition 6: Given a string, write a function to check if it is a permutation of a pallindrome. 1-4-pallindrome-permutations.cpp
Problem 1-5 : Edition 6: There are three possible edits that can be performed on a string - Insert a char, Delete a char, Replace a char. Given two strings, determine if they are one or 0 edit away. 1-5-one-edit-away.cpp
Problem 1-6: Implement a method to perform basic string compression. Example string aabcccccaaa should be compressed to a2b1c5a3, however if compressed string is bigger than original string, return original string 1-6-string-compression.cpp
Problem 1-7: Rotate the matrix clockwise( & anticlockwise) by 90 degrees 1-7-matrix-rotation.cpp
Problem 1-8: Write an algorithm such that if an element of MxN matrix is 0, its entire row and column is set to 0. 1-8-zero-matrix.cpp
Problem 1-9: Given two strings s1 and s2, determine s2 is rotation of s1 using only one call to a function which checks whether one string is rotation of another. 1-9-string-rotation.cpp
Problem 2-1: Remove duplicates from an unsorted linked list. What if no temporary buffer is allowed. 2-1-remove-dups.cpp
Problem 2-2: Determine kth node from the last of a singly linked list. (Iterative and Recursive Approaches) 2-2-kthToLast.cpp
Problem 2-3: Implement an algorithm to delete a node in the middle of a singly linked list 2-3-delete-middle-node.cpp
Problem 2-4: Partition a linked list around a value x, all the nodes smaller than x come before all the nodes greater than equal to x 2-4-partition.cpp
Problem 2-5: You have two numberse represented by a linked list where each node contains a single digit. The digits are stored in reversed order, such that 1's digits are at the head of the list. Write a function that adds the two numbers and returns the sum as a linked list.Example:
  • Input: ( 7 --> 1 --> 6 ) + ( 5 --> 9 --> 2 ) that is 617 + 295
  • Output: ( 2 --> 1 --> 9 ) i.e. 912.
  • FOLLOW UP : Suppose the lists are stored in forward order, Repeat the above problem.
  • Input: ( 6 --> 1 --> 7 ) + ( 2 --> 9 --> 5 ) i.e. 617 + 295
  • Output: ( 9 --> 1 --> 2 ) i.e. 912.
  • Implement it recursively and iteratively.
 2-5-add-lists.cpp
Problem 2-6: Determine if linked list is palindrome( 2 iterative and one recursive approach 2-6-palindrome.cpp
Problem 2-7: Determine if two singly linked list intersect, if yes, return the intersecting node. The intersection is defined based on reference not on values 2-7-intersection.cpp
Problem 2-8: Detect if the linked list have a loop, Find the start node of the loop and remove the loop 2-8-loop-detection.cpp

Dynamic Programming Problems

Problem Solution
Nth Fibonacci term using different memoization techniques fibonacci.cpp
Longest Common Subsequence Problem lcs.cpp
Maximum Value Contigous Subsequence Problem wiki max_subsequence.cpp
Catalan number - Count the number of possible Binary Search Trees with n keys catalan_number.cpp
Calculate the number of unique paths from source origin (0, 0) to destination (m-1, n-1) in a m x n grid. You can only move either in down or right direction. unique_paths.cpp

Tree Problems

Problem Solution
Iterative Level order traversal of Tree using queue levelOrderTraversalIterative.cpp
Recursive Level order traveral of Tree levelOrderTraversalRecursive.cpp
ZigZag Traversal of Tree zigZagTraversal.cpp
Predecessor and Successor of a given node in Binary Search Tree predecessorSuccessor.cpp
Given values of two nodes in a Binary Search Tree, find the Lowest Common Ancestor (LCA). Assume that both the values exist in the tree. [lowest-common-ancestor.cpp] (tree_problems/lowest-common-ancestor.cpp)
Given a binary tree (unlike binary search tree), find the Lowest Common Ancestor (LCA). lowest-common-ancestor-binary-tree.cpp
Given a binary tree, print out all of its root-to-leaf paths one per line. printAllRootToLeafPath.cpp
Determine if a tree is sum tree. A SumTree is a Binary Tree where the value of a node is equal to sum of the nodes present in its left subtree and right subtree. An empty tree is SumTree and sum of an empty tree can be considered as 0. A leaf node is also considered as SumTree. sumTree.cpp
Convert a tree to sumTree, such that each node is sum of left and right subtree of the original tree. convert_to_sum_tree.cpp
Convert a sorted array to balanced binary search tree. sortedArrayToBST.cpp
Given a binary tree, generate sum of each vertical column. verticalSum.cpp
Given a binary tree and key, node with key exists in tree. Find all the ancestors of the node with key, ancestor here are the nodes which are in straight path from node to root. node_ancestors_in_root_path.cpp
Given a binary tree and key, return the level of the node with key. Root is at level 1, and if node with key does not exists in tree, return 0 level_of_node.cpp
Given a binary tree, find all the paths from root to nodes, whose sum is k. k_sum_paths.cpp
Given a binary tree, print its nodes level by level in reverse order. i.e. all nodes present at last level should be printed first followed by nodes of second-last level and so on.. All nodes for any level should be printed from left to right. reverseLevelOrderTraversal.cpp
Invert a binary tree, recursively and iteratively. invert_a_tree.cpp
Given a Binary Search Tree, find ceil and floor of a given key in it. If the given key lie in the BST, then both floor and ceil is equal to that key, else ceil is equal to next greater key (if any) in the BST and floor is equal to previous greater key (if any) in the BST floor_ceil_bst.cpp
Find kth smallest element in a binary search tree kth_smallest.cpp

String Problems

Problem Solution
Implementation of Robin-Karp algorithm for string search robinKarpStringMatching.cpp
Find next permutation of a given string, ie. rearrange the given string sucht a way that is next lexicographically greater string than given string next_permutation.cpp
Implementation of Z algorithm for pattern matching z.cpp
Test cases for self created string library pstring_test.cpp

Common Data Structure and logic problems

Problem Solution
Print the contents of matrix in a spiral order matrix_spiral_print.cpp
Given a M x N matrix, rotate it by R rotations anticlockwise, and show the resulting matrix. rotate_matrix.cpp
Rotate an array by r elements ( left or right ) array_rotation.cpp
Given an array of repeating/non-repeating intergeres, determine the first non-repeating int in this array first_non_repeating_int.cpp
In Quantumland, there are n cities numbered from 1 to n. Here, ci denotes the ith city. There are n−1 roads in Quantumland. Here, ci and ci+1 have a bidirectional road between them for each i < n.There is a rumor that Flatland is going to attack Quantumland, and the queen wants to keep her land safe. The road between ci and ci+1 is safe if there is a guard in ci or ci+1. The queen has already placed a few guards in some of the cities, but she is not sure if they are enough to keep the roads safe. She wants to know the minimum number of new guards she needs to hire. See comments in solution for input/output details. save_quantamland.cpp
You are given an integer N. Find the digits in this number that exactly divide N (division that leaves 0 as remainder) and display their count. For N=24, there are 2 digits (2 & 4). Both of these digits exactly divide 24. So our answer is 2. See more details in header comment of the solution file. findDigits.cpp
Encrypt and then decrypts a text using Caeser Cipher. caeser_cipher.cpp
Encrypt and then decrypts a text using Vigenère cipher. vigenere_cipher.cpp
Generate binary numbers between 1 to N efficiently. n_binary.cpp
Implement power function power_function.cpp

Math Problems

Problem Solution
Print all the permutations of a string. Example: Permutations of ABC are ABC, ACB, BCA, BAC, CAB, CBA string_permutations.cpp
Euclidean algorithm to find greatest common divisor of two numbers. (Iterative and recursive) gcd.cpp
Implement pow(x,y) using divide and conquer approach. Try implementing it in O(logn) pow.cpp
Calculate factorial of large number, say 100 (it will have 158 digits) factorial_of_large_num.cpp
Generate all possible words from a number entered on a traditional mobile keypad phone_digits.cpp

Stack Problems

Problem Solution
We have series of n daily price quotes for a stock. We need to calculate span of stock's price for all n days. Span for ith day is defined as maximum number of consecutive days, for which the price of the stock was less than or equal to ith day. For stock quotes {100, 60, 70, 65, 80, 85} span will be {1, 1, 2, 1, 4, 5}. Span for day 1 is always 1, now for day 2 stock is at 60, and there is no day befor it when stock was less than 60. So span remains 1. For day 3, the stock is priced at 70, so its span is 2, as previous day it was 60, and so on. stock_span_problem.cpp
Given an infix expression, convert it to postfix expression, Example (A+B)*C --> AB+C* infix_to_postfix.cpp
Given a string containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid.The brackets must close in the correct order, "()" and "()[]{}" are all valid but "(]" and "([)]" are not. valid_parenthesis.cpp

Sort and Search Problems

Problem Solution
Given a sorted vector, return first index of the occurrence of a value in vector, if number does not exist, return -1 first_occurrence_binary_search.cpp
Find the first repeating element in an array of integers. Given an array of integers, find the first repeating element in it. We need to find the element that occurs more than once and whose index of first occurrence is smallest. firstRepeatingElement.cpp
Given a list of unsorted integers, A={a1,a2,…,aN}, Find the pair of elements that have the smallest absolute difference between them? If there are multiple pairs, find them all. closest_numbers.cpp
Given a sorted array, determine index of fixed point in this array. If array does not have a fixed point return -1. An array has a fixed point when index of the element is same as index i.e. i == arr[i], Expected time complexity O(logn) fixedPoint.cpp
Find the maximum element in an array which is first increasing and then decreasing. Input: arr[] = {8, 10, 20, 80, 100, 200, 400, 500, 3, 2, 1}, output : 500. Array may be strictly increasing or decreasing as well. ExpectedTime complexity is O(logn). findMaximum.cpp
Given an array of positive and/or negative integers, find a pair in the array whose sum is closest to 0. findClosestPairToZero.cpp
Numeros, the Artist, had two lists A and B, such that B was a permutation of A. Numeros was very proud of these lists. Unfortunately, while transporting them from one exhibition to another, some numbers were left out of A. Can you find the missing numbers? Notes:
  • If a number occurs multiple times in the lists, you must ensure that the frequency of that number in both lists is the same. If that is not the case, then it is also a missing number.
  • You have to print all the missing numbers in ascending order.
  • Print each missing number once, even if it is missing multiple times.
  • The difference between maximum and minimum number in B is less than or equal to 100.
.
  • There will be four lines of input: n - the size of the first list, This is followed by n space-separated integers that make up the first list. m - the size of the second list. This is followed by m space-separated integers that make up the second list. Output the missing numbers in ascending order.
 missingNumbers.cpp
Find the closest pair from two sorted arrays. Given two sorted arrays and a number x, find the pair whose sum is closest to x and the pair has an element from each array. We are given two arrays ar1[0…m-1] and ar2[0..n-1] and a number x, we need to find the pair ar1[i] + ar2[j] such that absolute value of (ar1[i] + ar2[j] – x) is minimum. closestPairSorted.cpp
Given an array A of n elements, find three indices i, j and k such that A[i]^2 + A[j]^2 = A[K]^2. O(n2) time complexity and O(1) space complexity squareSum.cpp
Given an unsorted array arr[0..n-1] of size n, find the minimum length subarray arr[s..e] such that sorting this subarray makes the whole array sorted. minLengthUnsortedArray.cpp
Find the missing number in Arithmetic Progression missingNumber2.cpp
Find the common elements in 3 sorted vectors commonIn3Arrays.cpp
Find all the pairs with a given sum in an unsorted array/vector find_pairs_with_sum.cpp
Given an array, find peak element in it. A peak element is an element that is greater than its neighbors. peak_element.cpp
Given a sorted array of distinct non-negative integers, find smallest missing element in it. smallest_missing.cpp
Move all zeros in the vector to the end move_zeros.cpp

Graph Problems

Problem Solution
Depth First Traversal of a Graph dfsDemo.cpp
Breadth First Traversal of a Graph bfsDemo.cpp
calculate the shortest distance from the start position (Node S) to all of the other nodes in the graph using Dijkstra algorithm. dijkstra-shortest-reach.cpp
Calculate total weight of Minimum Spanning Tree of a given graph ( sum of weights of edges which forms MST) using Prim's algorithm primsMST.cpp
Print Minimum Spanning Tree( MST ) of a given graph using Kruskal's algorithm. kruskalMST.cpp
Create a program to generate a Huffman encoding for each character as a table. huffman_encoding.cpp

Greedy Problems

Problem Solution
Given two integer arrays, A and B, each containing N integers. You are free to permute the order of the elements in the arrays. Is there an permutation A', B' possible of A and B, such that, A'i+B'i ≥ K for all i, where A'i denotes the ith element in the array A' and B'i denotes ith element in the array B'. two_arrays.cpp
John is taking orders. The ith order is placed by the ith customer at ti time and it takes di time to procees. What is the order in which the customers will get their orders? (see more details in solutions's comments) orders_order.cpp

Leet code Problems

Problem Solution
Given a sorted integer array without duplicates, return the summary of its ranges. For example, given [0,1,2,4,5,7], return ["0->2","4->5","7"]. summary_ranges.cpp
Given a 2D matrix, with following properties
  • Integers in each row are sorted in ascending from left to right.
  • Integers in each column are sorted in ascending from top to bottom.
 search2DII.cpp
Given an unsorted integer array, find the first missing positive integer.Example: [1,2,0] should return 3 and [3,4,-1,1] should return 2. Expected time complexity O(n) and solution should use constant space firstMissingPositiveNum.cpp
Given an unsorted array of integers, find the length of the longest consecutive elements sequence. For example: Given [100, 4, 200, 1, 3, 2]. The longest consecutive elements sequence is [1, 2, 3, 4]. Return its length: 4. Algorithm should run in O(n) complexity. longestConsecutiveSeq.cpp
Given two sorted integer arrays nums1 and nums2, merge nums2 into nums1 as one sorted array.You may assume that nums1 has enough space (size that is greater or equal to m + n) to hold additional elements from nums2. The number of elements initialized in nums1 and nums2 are m and n respectively. mergeArrays.cpp
Given an array of non-negative integers, you are initially positioned at the first index of the array. Each element in the array represents your maximum jump length at that position. Determine if you are able to reach the last index. For example:
  • A = [2,3,1,1,4], return true.
  • A = [3,2,1,0,4], return false.
 jumpGame.cpp
Given a positive integer, return its corresponding column title as appear in an Excel sheet. For example 1 -> A, 2 -> B,...26 -> Z, 27 -> AA, 28 -> AB, ...705 -> AAC excelColSheetTitle.cpp
Given an array nums, write a function to move all 0's to the end of it while maintaining the relative order of the non-zero elements. For example, given nums = [0, 1, 0, 3, 12], after calling your function, nums should be [1, 3, 12, 0, 0]. moveZeroes.cpp
Given an array of integers, find if the array contains any duplicates. Function should return true if any value appears at least twice in the array, and it should return false if every element is distinct. containsDuplicate.cpp
Given a list, rotate the list to the right by k places, where k is non-negative. For example:
  • Given 1->2->3->4->5->NULL and k = 2, return 4->5->1->2->3->NULL
 rotateList.cpp
Given two words word1 and word2, find the minimum number of steps required to convert word1 to word2. (each operation is counted as 1 step.). You have the following 3 operations permitted on a word:
  • Insert a character
  • Delete a character.
  • Replace a character
.		 editDistance.cpp
Given a binary tree, Populate each next pointer to point to its next right node. If there is no next right node, the next pointer should be set to NULL. Initially, all next pointers are set to NULL.You may only use constant extra space.You may assume that it is a perfect binary tree (ie, all leaves are at the same level, and every parent has two children). connectNextPointers.cpp
Given n pairs of parentheses, write a function to generate all combinations of well-formed parentheses. For example, given n = 3, a solution set is "((()))", "(()())", "(())()", "()(())", "()()()" generate_parenthesis.cpp
Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.For example, Given nums = [0, 1, 3] return 2. missing_number.cpp
Suppose a sorted array is rotated at some pivot unknown to you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2). Find the minimum element. You may assume no duplicate exists in the array. find_min_rotated.cpp
Given an array S of n integers, find three integers in S such that the sum is closest to a given number, target. Return the sum of the three integers. You may assume that each input would have exactly one solution. threeSumClosest.cpp
Given n non-negative integers a1, a2, ..., an, where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water. Note: You may not slant the container. maxArea.cpp
Given a binary tree containing digits from 0-9 only, each root-to-leaf path could represent a number. An example is the root-to-leaf path 1->2->3 which represents the number 123. Find the total sum of all root-to-leaf numbers. Example in solution comments sumRootToLeafNumbers.cpp
Say you have an array for which the ith element is the price of a given stock on day i. If you were only permitted to complete at most one transaction (ie, buy one and sell one share of the stock), design an algorithm to find the maximum profit. maxProfitStock.cpp
Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right which minimizes the sum of all numbers along its path. Note: You can only move either down or right at any point in time. minPath.cpp
Count the number of prime numbers less than a non-negative number, n. countPrimes.cpp
Find all possible combinations of k numbers that add up to a number n, given that only numbers from 1 to 9 can be used and each combination should be a unique set of numbers. Ensure that numbers within the set are sorted in ascending order. Example : for k = 3, n = 9 result would be [[1,2,6], [1,3,5], [2,3,4]], similarly for k = 3, n = 7, result would be [[1,2,4]]. combinationSum3.cpp
Given a non-negative integer num, repeatedly add all its digits until the result has only one digit. For example: Given num = 38, the process is like: 3 + 8 = 11, 1 + 1 = 2. Since 2 has only one digit, return it. Follow up: Could you do it without any loop/recursion in O(1) runtime? addDigits.cpp
Given a matrix with cell values 0 or 1. Find the length of the shortest path from (a1, b1) to (a2, b2), such that path can only be constructed through cells which have value 1 and you can only travel in 4 possible directions, i.e. left, right, up and down. shortest_path_maze.cpp
The Hamming distance between two integers is the number of positions at which the corresponding bits are different. Given two integers x and y, calculate the Hamming distance. hamming_distance.cpp
Given two binary trees and imagine that when you put one of them to cover the other, some nodes of the two trees are overlapped while the others are not. You need to merge them into a new binary tree. The merge rule is that if two nodes overlap, then sum node values up as the new value of the merged node. Otherwise, the NOT null node will be used as the node of new tree. merge_trees.cpp
Write a function that takes a string as input and reverse only the vowels of a string. reverse_vowels.cpp
Given a string, sort it in decreasing order based on the frequency of characters.For example:
  • Input: cccbbbbaa Output: bbbcccaa
 sortCharByFrequency.cpp
Product of Array Except Self. Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. product_except_self.cpp