Testsigma Solution Engineer Interview Questions and Answers

Round duration - 120 minutes
Round difficulty - Medium

Q1. 
Find All Pairs Adding Up to Target
Given an array of integers ARR of length N and an integer Target, your task is to return all pairs of elements such that they add up to the Target.
Input:
The first line ...read more
Ans. 
Given an array of integers and a target, find all pairs of elements that add up to the target.
• Iterate through the array and for each element, check if the target minus the element exists in a hash set.

• If it exists, add the pair to the result. If not, add the element to the hash set.

• Handle cases where the same element is used twice in a pair.

• Return (-1, -1) if no pair is found.
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Q2. 
Clone a Linked List with Random Pointers
Given a linked list where each node contains two pointers: one pointing to the next node and another random pointer that can point to any node within the list (or ...read more
Ans. 
Create a deep copy of a linked list with random pointers.
• Iterate through the original linked list and create a new node for each node in the list.

• Store the mapping of original nodes to new nodes in a hashmap to handle random pointers.

• Update the random pointers of new nodes based on the mapping stored in the hashmap.

• Return the head of the copied linked list.
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Round duration - 60 Minutes
Round difficulty - Medium

Q1. 
Unique Element in Array
Given an arbitrary array arr consisting of N non-negative integers where every element appears thrice except for one. Your task is to find the element in the array that appears onl...read more
Ans. 
Find the element that appears only once in an array where every other element appears thrice.
• Use bitwise operations like XOR to find the unique element in linear time complexity.

• XOR all elements in the array, the result will be the unique element.

• Elements that appear thrice will cancel out each other in XOR operation.

• Example: arr = [2, 2, 3, 2], XOR of all elements = 3 which is the unique element.
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Q2. 
Next Greater Element Problem Statement
You are provided with an array or list ARR containing N positive integers. Your task is to determine the Next Greater Element (NGE) for each element in the array.
T...read more
Ans. 
Find the Next Greater Element for each element in an array.
• Iterate through the array from right to left

• Use a stack to keep track of elements with no greater element to the right

• Pop elements from the stack until a greater element is found or stack is empty
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Round duration - 60 Minutes
Round difficulty - Medium

Q1. 
Convert BST to Greater Sum Tree
Given a Binary Search Tree (BST) of integers, your task is to convert it into a greater sum tree. In the greater sum tree, each node's value should be replaced with the sum...read more
Ans. 
Convert a Binary Search Tree into a Greater Sum Tree by replacing each node's value with the sum of all nodes' values greater than the current node's value.
• Traverse the BST in reverse inorder (right, root, left) to visit nodes in descending order.

• Keep track of the running sum of visited nodes' values and update each node's value with this sum.

• Recursively apply the above steps to all nodes in the BST.

• Example: For input ...read more
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Q2. 
Sort Linked List Problem Statement
You are given a linked list of N nodes where each node contains values 0, 1, and 2 exclusively. Your task is to sort the linked list.
Input:
The first line contains an...read more
Ans. 
Sort a linked list containing values 0, 1, and 2 exclusively.
• Use three pointers to keep track of nodes with values 0, 1, and 2 separately.

• Traverse the linked list and move nodes to their respective positions based on their values.

• Finally, concatenate the three lists in the order 0 -> 1 -> 2 to get the sorted linked list.
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Round duration - 45 minutes
Round difficulty - Medium

Q1. 
Number of Islands Problem Statement
You are provided with a 2-dimensional matrix having N rows and M columns, containing only 1s (land) and 0s (water). Your goal is to determine the number of islands in t...read more
Ans. 
Count the number of islands in a 2D matrix of 1s and 0s.
• Use Depth First Search (DFS) or Breadth First Search (BFS) to traverse the matrix and identify connected groups of 1s.

• Maintain a visited array to keep track of visited cells to avoid redundant traversal.

• Increment the island count each time a new island is encountered.

• Consider edge cases like when the matrix is empty or when all cells are water (0s).
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Q2. 
Maximum Path Sum in a Matrix
Given an N*M matrix filled with integer numbers, determine the maximum sum that can be obtained from a path starting from any cell in the first row to any cell in the last row...read more
Ans. 
Find the maximum sum that can be obtained from a path in a matrix from the first row to the last row.
• Use dynamic programming to keep track of the maximum sum at each cell.

• Consider moving down, down-left, and down-right to calculate the maximum sum.

• Start from the second row and update the values based on the maximum sum from the row above.

• At the end, find the maximum sum in the last row to get the final result.
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Round duration - 90 minutes
Round difficulty - Easy

This round was held during university hours and consisted of 2 coding questions.

Round duration - 120 minutes
Round difficulty - Easy

Make sure you do no cutting and are clear about the approach you'd be following. 
 

Q1. What is the running median of an input stream?
Ans. 
Running median of an input stream is the median value of the numbers seen so far in a continuous stream of data.
• Maintain two heaps - a max heap for the lower half of the numbers and a min heap for the upper half.

• Keep the number of elements in the two heaps balanced or differ by at most 1.

• If the total number of elements is odd, the median is the root of the max heap. If even, it is the average of the roots of the two he...read more
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Round duration - 90 Miinutes
Round difficulty - Medium

First round had MCQ + 2 coding questions. It was held in morning around 11 am. It was held on campus.

Q1. 
Robot Delivery Path Problem
You are tasked with directing a robot from the top-left corner of an N*N matrix to a specified point (x, y), delivering a parcel. The robot is restricted to move only on flat a...read more
Ans. 
Determine if a robot can reach a specified destination in a matrix by moving only downwards or rightwards.
• Start at (0,0) and move towards the destination (x, y) only downwards or rightwards.

• Check if the path is clear (1) and avoid obstacles (0) while staying within matrix boundaries.

• Return true if the robot can reach the destination, false otherwise.

• Example: For input matrix [[1, 0, 1], [1, 1, 1], [1, 1, 5]] with desti...read more
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Q2. 
Unique Element in Array
Given an arbitrary array arr consisting of N non-negative integers where every element appears thrice except for one. Your task is to find the element in the array that appears onl...read more
Ans. 
Find the unique element in an array where every element appears thrice except for one.
• Use XOR operation to find the unique element.

• Iterate through the array and XOR each element to find the unique element.

• The XOR operation cancels out elements that appear thrice, leaving only the unique element.

• Example: arr = [2, 2, 3, 2], XOR of all elements = 3.

• Example: arr = [0, 1, 0, 1, 0, 1, 99], XOR of all elements = 99.
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Round duration - 90 Minutes
Round difficulty - Medium

Second Round was held in morning around 10-11 am. There was one interviewer working on his laptop. Interviewer was really helpful and first offered me water and then for a bit talked about himself.

Q1. 
BST Iterator Problem Statement
You are tasked with implementing a class BSTIterator, which is designed to traverse a Binary Search Tree (BST) in the inorder manner. The class must support the following op...read more
Ans. 
Implement a BSTIterator class to traverse a Binary Search Tree in inorder manner.
• Implement a constructor to initialize the iterator with the root of the BST.

• Implement next() and hasNext() methods to traverse the BST in inorder.

• Implement prev() and hasPrev() methods to access the previous element in the inorder traversal.

• Use level-order traversal format to represent the tree input.

• Output the inorder traversal of the bin...read more
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Q2. 
Distance Between Two Nodes in a Binary Tree
Given a binary tree and the values of two distinct nodes, determine the distance between these two nodes in the tree. The distance is defined as the minimum num...read more
Ans. 
Calculate the distance between two nodes in a binary tree.
• Traverse the tree to find the paths from the root to each node

• Find the lowest common ancestor of the two nodes

• Calculate the distance by adding the distances from the LCA to each node
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Round duration - 90 Minutes
Round difficulty - Medium

2 coding questions and 20 mcq
 

Q1. 
Rotting Oranges Problem Statement
You are given a grid containing oranges where each cell of the grid can contain one of the three integer values:
• 0 - representing an empty cell
• 1 - representing a fre...read more
Ans. 
Find the minimum time required to rot all fresh oranges in a grid.
• Use Breadth First Search (BFS) to simulate the rotting process.

• Track the time taken to rot all oranges and return -1 if any fresh oranges remain.

• Handle edge cases like no fresh oranges or all oranges already rotten.

• Consider using a queue to efficiently process adjacent oranges.

• Ensure to update the grid with the new state of oranges after each second.
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Q2. 
Calculate Sum of Proper Divisors
Given a natural number N, return the sum of all its proper divisors.
A proper divisor of Y is defined as a number X such that X < Y and Y % X = 0.
Example:
Input:
T...read more
Ans. 
Calculate the sum of proper divisors of a given natural number.
• Iterate from 1 to sqrt(N) and check for divisors

• If a divisor is found, add it to the sum and also add N/divisor if it is not the same as divisor

• Return the sum as the result
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Round duration - 45 Minutes
Round difficulty - Medium

Technical interview

Q1. 
Rearrange Array to Form Largest Number
Given an array ARR consisting of non-negative integers, rearrange the numbers to form the largest possible number. The digits within each number cannot be changed.
...read more
Ans. 
Rearrange the array elements to form the largest possible number by concatenating them.
• Sort the array elements in a custom comparator function to get the largest number.

• Convert the sorted array elements to strings and concatenate them to form the final number.

• Handle cases where the numbers have the same prefix by comparing the concatenated forms.
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Python coding test

Round duration - 120 minutes
Round difficulty - Medium

Evening test around 5
Platform :- SHL
Environment was amazing

Q1. 
Subtree of Another Tree Problem Statement
Given two binary trees, T and S, determine whether S is a subtree of T. The tree S should have the same structure and node values as a subtree of T.
Explanation:
...read more
Ans. 
Given two binary trees T and S, determine if S is a subtree of T with the same structure and node values.
• Check if the second tree is a subtree of the first tree by comparing their structures and node values.

• Use a recursive approach to traverse both trees and check for equality.

• Handle cases where one tree is null or the values do not match.

• Return true if S is a subtree of T, false otherwise.
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Q2. 
Search in a Row-wise and Column-wise Sorted Matrix Problem Statement
You are given an N * N matrix of integers where each row and each column is sorted in increasing order. Your task is to find the positi...read more
Ans. 
Given a sorted N*N matrix, find the position of a target integer X.
• Iterate over each row and column to find the target integer X

• Utilize the sorted nature of the matrix to optimize the search process

• Return the position of X if found, else return -1 -1
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Round duration - 60 minutes
Round difficulty - Medium

1 Hour 
Afternoon

Q1. 
Intersection of Linked List Problem
You are provided with two singly linked lists containing integers, where both lists converge at some node belonging to a third linked list.
Your task is to determine t...read more
Ans. 
Find the node where two linked lists merge, return -1 if no merging occurs.
• Traverse both lists to find their lengths and the difference in lengths

• Move the pointer of the longer list by the difference in lengths

• Traverse both lists simultaneously until they meet at the merging point
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Q2. 
Problem: Pair Sum in a Binary Search Tree
Given a Binary Search Tree (BST) and an integer 'S', your task is to find all pairs of nodes within the BST that total to 'S' and return these pairs. If no such p...read more
Ans. 
Find pairs of nodes in a BST that sum up to a given value 'S'.
• Traverse the BST in-order to get a sorted list of nodes.

• Use two pointers approach to find pairs with sum 'S'.

• Keep track of visited nodes to avoid using the same node twice in a pair.
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Round duration - 60 minutes
Round difficulty - Medium

Online Round held on Chime

Q1. 
Is Binary Heap Tree Problem Statement
You are given a binary tree of integers. Your task is to determine if it is a binary heap tree or not.
Input:
The first line of input contains an integer ‘T’ denoti...read more
Ans. 
Determine if a given binary tree is a binary heap tree or not based on certain properties.
• Check if the binary tree is a complete binary tree where every level, except the last level, is completely filled and the last level is as far left as possible.

• Ensure that every parent node is greater than all its children nodes, forming a max-heap.

• If any node does not have a left or right child, it should be represented as -1 in ...read more
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Q2. 
Edit Distance Problem Statement
Given two strings S and T with lengths N and M respectively, your task is to find the "Edit Distance" between these strings.
The Edit Distance is defined as the minimum nu...read more
Ans. 
The task is to find the minimum number of operations required to convert one string into another using delete, replace, and insert operations.
• Use dynamic programming to solve the problem efficiently.

• Create a 2D array to store the edit distances between substrings of the two input strings.

• Fill up the array based on the minimum of three possible operations: insert, delete, or replace.

• The final answer will be the value at...read more
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Round duration - 135 minutes
Round difficulty - Easy

Coding questions was easy if you know the basic of coding in any language. I submitted optimized solution for every questions that's why i got selected in this round.

Q1. 
Find K'th Character of Decrypted String
You are given an encrypted string where repeated substrings are represented by the substring followed by its count. Your task is to find the K'th character of the d...read more
Ans. 
Given an encrypted string with repeated substrings represented by counts, find the K'th character of the decrypted string.
• Parse the encrypted string to extract substrings and their counts

• Iterate through the substrings and counts to build the decrypted string

• Track the position in the decrypted string to find the K'th character
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Q2. 
Cycle Detection in Undirected Graph Problem Statement
You are provided with an undirected graph containing 'N' vertices and 'M' edges. The vertices are numbered from 1 to 'N'. Your objective is to determi...read more
Ans. 
Detect if an undirected graph contains a cycle.
• Use Depth First Search (DFS) to traverse the graph and detect cycles.

• Maintain a visited array to keep track of visited vertices.

• If a visited vertex is encountered again during DFS, a cycle exists.

• Check for back edges while traversing the graph.

• Consider disconnected graphs as well.
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Round duration - 150 minutes
Round difficulty - Medium

Q1. 
Pair Sum Problem Statement
You are provided with an array ARR consisting of N distinct integers in ascending order and an integer TARGET. Your objective is to count all the distinct pairs in ARR whose sum...read more
Ans. 
Count distinct pairs in an array whose sum equals a given target.
• Use two pointers approach to iterate through the array and find pairs with sum equal to target.

• Keep track of visited pairs to avoid counting duplicates.

• Return -1 if no such pair exists with the given target.
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Q2. 
Next Smaller Palindrome Problem Statement
You are given a palindrome number represented as a string S. Your task is to find the largest palindrome number that is strictly less than S.
Example:
Input:
T...read more
Ans. 
Given a palindrome number represented as a string, find the largest palindrome number that is strictly less than the given number.
• Iterate from the middle towards the start and end of the string to find the next smaller palindrome.

• If the number is odd in length, simply mirror the left half to the right half to get the next smaller palindrome.

• If the number is even in length, decrement the middle digit and mirror the left...read more
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Q3. 
Longest Common Subsequence Problem Statement
Given two strings STR1 and STR2, determine the length of their longest common subsequence.
A subsequence is a sequence that can be derived from another sequen...read more
Ans. 
The problem involves finding the length of the longest common subsequence between two given strings.
• Use dynamic programming to solve this problem efficiently.

• Create a 2D array to store the lengths of common subsequences of substrings.

• Iterate through the strings to fill the array and find the length of the longest common subsequence.

• Example: For input STR1 = 'abcde' and STR2 = 'ace', the longest common subsequence is 'a...read more
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Round duration - 30 minutes
Round difficulty - Easy

Interview went well.The interviewer asked me how the previous interviews were.

Q1. 
Boundary Traversal of a Binary Tree
Given a binary tree of integers, your task is to output the boundary nodes of this binary tree in Anti-Clockwise order, starting from the root node.
Explanation:
The b...read more
Ans. 
Output the boundary nodes of a binary tree in Anti-Clockwise order, starting from the root node.
• Traverse the left boundary nodes in top-down order

• Traverse the leaf nodes from left to right

• Traverse the right boundary nodes in bottom-up order

• Combine the above traversals to get the boundary nodes in Anti-Clockwise order
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Q2. 
Sort 0 1 2 Problem Statement
Given an integer array arr of size 'N' containing only 0s, 1s, and 2s, write an algorithm to sort the array.
Input:
The first line contains an integer 'T' representing the n...read more
Ans. 
Sort an array of 0s, 1s, and 2s in linear time complexity.
• Use three pointers to keep track of the positions of 0s, 1s, and 2s in the array.

• Iterate through the array and swap elements based on the values encountered.

• Maintain left pointer for 0s, right pointer for 2s, and current pointer for traversal.

• Example: If current element is 0, swap it with element at left pointer and increment both pointers.
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Round duration - 20 minutes
Round difficulty - Easy

This round is very easy, In this round they basically need confidence and truthful person.