Tuesday, May 25, 2021

Data Structures Test Questions Answers


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  • Answer— Following are the different operation that are generally carried out in Data Structures: Insert— Add a new data item in the already existing set of data items. Delete— Remove an existing data item from the given data item set. Traverse— Access each piece of data precisely once so that it can be processed. Search— Figure out where the data item resides in the specified data item set. Sort— Arrange the data objects in certain order i. Question 3: What do you Understand by Stack? Please Explain some of its Applications. The common functions of a stack are push, pop, and peek. Few noteworthy places where Stack is applied: Evaluate the balanced parentheses in an expression Analysis of a postfix experiment Placing two stacks into an array Conversion of infix to postfix Reversing of the string.
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  • Question 4. Explain the Concept of a Queue. How can you Differentiate it from a Stack? Dequeue, enqueue, front, and rear are key queue functions. Unlike a stack, the arrays and linked lists are used to enforce a queue. The element most recently added is removed first in a stack. However, in the event of a queue, the element least recently added is removed first. Question 5. This means data is removed from the stack.
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  • Question 6: What do you Understand by Data Abstraction? Answer— Data abstraction helps to divide complicated data tasks into small, easily manageable components. It begins with defining all the data objects associated and the different operations to be conducted on the same without putting too much stress on the way the data is stored. Question 7. Can you Explain a few Approaches to Write an Algorithm?
    Link: https://uscis.gov/sites/default/files/document/guides/M-685.pdf
  • So a solution to the problem is given with the following algorithm. Assume that N can be a very large number. What is the resulting complexity? View answer We can use dynamic programming for solving this problem. That distance can be reached by jumping from one of the 5 previous distances. But, we can have even better performance. The given sum can be represented as a 1x5 matrix of ones multiplied by a 5x1 matrix of previous elements. If we use the previously mentioned optimal approach for calculating pow A, N , this solution has an O log N time complexity.
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  • We have to keep in mind that this does have a high constant bound to this complexity, since matrix multiplication takes time. But, for a large enough N, this solution is optimal. What is the best use case for each of them? View answer Both Red-Black Trees and B-Trees are balanced search trees that can be used on items that can have a comparison operator defined on them. They allow operations like minimum, maximum, predecessor, successor, insert, and delete, in O log N time with N being the number of elements. Thus, they can be used for implementing a map, priority queue, or index of a database, to name a few examples. Binary Search Trees use binary trees to perform the named operations, but the depth of the tree is not controlled - so operations can end up taking a lot more time than expected.
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  • Red-Black Trees solve this issue by marking all nodes in the tree as red or black, and setting rules of how certain positions between nodes should be processed. This is the ideal structure for implementing ordered maps and priority queues. B-Trees branch into K-2K branches for a given number K rather than into 2, as is typical for binary trees. Other than that, they behave pretty similarly to a binary search tree. This has the advantage of reducing access operations, which is particularly useful when data is stored on secondary storage or in a remote location. This way, we can request data in larger chunks, and by the time we finish processing a previous request, our new request is ready to be handled. This structure is often used in implementing databases, since they have a lot of secondary storage access. You are given a matrix of MxN boolean values representing a board of free True or occupied False fields. Find the size of the largest square of free fields.
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  • View answer A field with a True value represents a 1x1 square on its own. If those three fields are all bottom-right corners of a 5x5 square, then their overlap, plus the queried field being free, form a 6x6 square. We can use this logic to solve this problem. Now, size[x, y] represents the largest square for which the field is the bottom-right corner. Tracking the maximum number achieved will give us the answer to our problem. How does the Fibonacci heap relate to them?
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  • View answer Dijkstra is an algorithm for finding single source shortest paths. Prim is an algorithm for finding minimum spanning trees. Both algorithms have a similar implementation. Both algorithms form a tree by taking branches with the smallest price from the MinHeap. In Dijkstra, the point closest to the starting point has the smallest price, while in Prim the point closest to their parent has the smallest price.
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  • Thus, the heap can have as many item additions as there are edges in the graph. The bottleneck is the fact that, in the worst case, we will add all edges to the heap at some point. Multiple edges can point to one vertex, so all but one edge pointing to that vertex will be thrown away in the visited check. This operation has the complexity of O log V. In a Fibonacci Heap this operation has an O 1 complexity. What is the Bellman-Ford algorithm for finding single source shortest paths? What are its main advantages over Dijkstra? View answer The Bellman-Ford algorithm finds single source shortest paths by repeatedly relaxing distances until there are no more distances to relax.
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  • Relaxing distances is done by checking if an intermediate point provides a better path than the currently chosen path. After a number of iterations that is slightly less than the node count, we can check if the solution is optimal. If not, there is a cycle of negative edges that will provide better paths infinitely long. This algorithm has the advantage over Dijkstra because it can handle graphs with negative edges, while Dijkstra is limited to non-negative ones.
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  • The only limitation it has are graphs with cycles that have an overall negative path, but this would just mean that there is no finite solution. So this algorithm should be used only when we expect negative edges to exist. It does this by employing a heuristic that approximates the distance of a node from the goal node. This is most trivially explained on a graph that represents a path mesh in space. If our goal is to find a path from point A to point B, we could set the heuristic to be the Euclidean distance from the queried point to point B, scaled by a chosen factor.
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  • This heuristic is employed by adding it to our distance from the start point. Beyond that, the rest of the implementation is identical to Dijkstra. We are given an array of numbers. How would we find the sum of a certain subarray? How could we query an arbitrary number of times for the sum of any subarray? If we wanted to be able to update the array in between sum queries, what would be the optimal solution then?
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  • View answer For the sake of notation, let us represent the length of the array as N. The first problem consists of calculating the sum of the array. There is no preprocessing involved and we do one summing operation of O N complexity. The second problem needs to calculates sums multiple times. Thus, it would be wise to perform preprocessing to reduce the complexity of each query. The hardest problem is responding to an arbitrary number of data updates and queries. First, let us look at the previous solutions. The first solution has O 1 insertion complexity, but O N query complexity. The second solution has the opposite, O N insertion and O 1 queries.
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  • Neither of these approaches is ideal for the general case. Ideally, we want to achieve a low complexity for both operations. A Fenwick tree or binary indexed tree is ideal for this problem. Now we can easily calculate the sum by following M until we reach 0. Updates are done in the opposite direction. You need to design a scheduler that to schedule a set of tasks. A number of the tasks need to wait for some other tasks to complete prior to running themselves. What algorithm could we use to design the schedule and how would we implement it? View answer What we need to do is a topological sort. We connect a graph of all the task dependencies.
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  • We then mark the number of dependencies for each node and add nodes with zero dependencies to a queue. As we take nodes from that queue, we remove a dependency from all of its children. As nodes reach zero dependencies, we add them to the queue. We need to create a data structure that allows us to update and access that data quickly, with constant time even in worst cases. How can we solve this problem? The problem presented is a problem of perfect hashing. We do a similar approach as a normal HashTable, but instead of storing collisions in a list, we store them in a secondary HashTable. We choose primary hashing functions until all buckets have a relatively small number of elements in them. Even though this seems to result in high memory complexity, expected memory complexity is O N.
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  • How would you efficiently calculate the longest timespan covered by them? What will be the time complexity? Time complexity is O NlogN. Take first interval as actual range. Loop over intervals and if the current StartDate is within the actual range, extend EndDate of the actual range if needed and extend maximal timespan achieved so far if needed. Otherwise, use current interval as new actual range.
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  • Data structure refers to the way data is organized and manipulated. It seeks to find ways to make data access more efficient. When dealing with the data structure, we not only focus on one piece of data but the different set of data and how they can relate to one another in an organized manner. The key difference between both the data structure is the memory area that is being accessed. When dealing with the structure that resides the main memory of the computer system, this is referred to as storage structure. When dealing with an auxiliary structure, we refer to it as file structures. A binary search is an algorithm that is best applied to search a list when the elements are already in order or sorted. The list is searched starting in the middle, such that if that middle value is not the target search key, it will check to see if it will continue the search on the lower half of the list or the higher half. The split and search will then continue in the same manner.
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  • A linked list is a sequence of nodes in which each node is connected to the node following it. This forms a chain-like link for data storage. To reference all the elements in a one -dimension array, you need to use an indexed loop, So that, the counter runs from 0 to the array size minus one. In this manner, You can reference all the elements in sequence by using the loop counter as the array subscript. Data structures are essential in almost every aspect where data is involved. In general, algorithms that involve efficient data structure is applied in the following areas: numerical analysis, operating system , A. It refers how data is accessed, stored and retrieved. Using this scheme, data that was stored last should be the one to be extracted first.
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  • This also means that in order to gain access to the first data, all the other data that was stored before this first data must first be retrieved and extracted. A queue is a data structure that can simulate a list or stream of data. In this structure, new elements are inserted at one end, and existing elements are removed from the other end. A binary tree is one type of data structure that has two nodes, a left node, and a right node. In programming, binary trees are an extension of the linked list structures.
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  • Recursion, is a function that calls itself based on a terminating condition, makes use of the stack. Using LIFO, a call to a recursive function saves the return address so that it knows how to return to the calling function after the call terminates. A stack is a data structure in which only the top element can be accessed. As data is stored in the stack, each data is pushed downward, leaving the most recently added data on top. Moreover, both subtrees are also binary search trees. Multidimensional arrays make use of multiple indexes to store data. It is useful when storing data that cannot be represented using single dimensional indexing, such as data representation in a board game, tables with data stored in more than one column.
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  • It depends on where you intend to apply linked lists. If you based it on storage, a linked list is considered non-linear. On the other hand, if you based it on access strategies, then a linked list is considered linear. Apart from being able to store simple structured data types, dynamic memory allocation can combine separately allocated structured blocks to form composite structures that expand and contract as needed. Data has been inserted into the queue list the longest is the one that is removed first.
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  • Merge sort, is a divide-and-conquer approach for sorting the data. In a sequence of data, adjacent ones are merged and sorted to create bigger sorted lists. These sorted lists are then merged again to form an even bigger sorted list, which continues until you have one single sorted list. A variable that is given a Null value indicates an empty value.
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  • The void is used to identify pointers as having no initial size. A linked list is an ideal data structure because it can be modified easily. This means that editing a linked list works regardless of how many elements are in the list. Pushing and popping applies to the way data is stored and retrieved in a stack. On the other hand, a pop denotes data retrieval, and in particular, refers to the topmost data being accessed. A linear search refers to the way a target key is being searched in a sequential data structure. In this method, each element in the list is checked and compared against the target key. The process is repeated until found or if the end of the file has been reached. The amount of memory to be allocated or reserved would depend on the data type of the variable being declared. For example, if a variable is declared to be of integer type, then 32 bits of memory storage will be reserved for that variable. The heap is more flexible than the stack. However, the memory of the heap can at times be slower when compared to that stack.
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  • A postfix expression is an expression in which each operator follows its operands. The advantage of this form is that there is no need to group sub-expressions in parentheses or to consider operator precedence. Data abstraction is a powerful tool for breaking down complex data problems into manageable chunks. This is applied by initially specifying the data objects involved and the operations to be performed on these data objects without being overly concerned with how the data objects will be represented and stored in memory. Assuming that the data to be inserted is a unique value that is, not an existing entry in the tree , check first if the tree is empty. The selection sort is a fairly intuitive sorting algorithm, though not necessarily efficient. In this process, the smallest element is first located and switched with the element at subscript zero, thereby placing the smallest element in the first position.
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  • Dynamic data structures are structures that expand and contract as a program runs. It provides a flexible means of manipulating data because it can adjust according to the size of the data. Pointers that are used in linked list have various applications in the data structure. Most declarations do, with the exemption of pointers.
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  • Pointer declaration does not allocate memory for data, but for the address of the pointer variable. Actual memory allocation for the data comes during run-time. When dealing with arrays, data is stored and retrieved using an index that refers to the element number in the data sequence. This means that data can be accessed in any order.
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  • In programming, an array is declared as a variable having a number of indexed elements. The minimum number of queues needed in this case is two. One queue is intended for sorting priorities while the other queue is used for actual storage of data. There are many types of sorting algorithms: quick sort, bubble sort, balloon sort, radix sort, merge sort, etc. Not one can be considered the fastest because each algorithm is designed for a particular data structure and data set. It would depend on the data set that you would want to sort. Stack follows a LIFO pattern. It means that data access follows a sequence wherein the last data to be stored when the first one to be extracted. Arrays, on the other hand, does not follow a particular order and instead can be accessed by referring to the indexed element within the array. A dequeue is a double-ended queue. This is a structure wherein elements can be inserted or removed from either end. A bubble sort is one sorting technique that can be applied to data structures such as an array.
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  • It works by comparing adjacent elements and exchanges their values if they are out of order. A linked list typically has two parts: the head and the tail. Between the head and tail lie the actual nodes. All these nodes are linked sequentially. Selection sort works by picking the smallest number from the list and placing it at the front. This process is repeated for the second position towards the end of the list. It is the simplest sort algorithm. A graph is one type of data structure that contains a set of ordered pairs. These ordered pairs are also referred to as edges or arcs and are used to connect nodes where data can be stored and retrieved. The linear data structure is a structure wherein data elements are adjacent to each other. Examples of linear data structure include arrays, linked lists, stacks, and queues. On the other hand, a non-linear data structure is a structure wherein each data element can connect to more than two adjacent data elements.
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  • Examples of nonlinear data structure include trees and graphs. An AVL tree is a type of binary search tree that is always in a state of partially balanced. The balance is measured as a difference between the heights of the subtrees from the root. This self-balancing tree was known to be the first data structure to be designed as such.
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  • This page contains most probable multiple choice questions for Data Structures and Algorithms Data Structure Multiple Choice Questions with Answers various chapter arrays, records, pointers, linked lists, stacks, queues, recursion, trees, sorting and searching. You can Learn and practice Data Structures and Algorithms multiple choice Questions and Answers for the interview, competitive exams, and entrance tests. Here are Data structure multiple choice questions for both freshers and experienced. You can learn the basics of Data Structures aptitude questions with the help of given solved examples, Which will help you to understand the concept in a better way, and how to solve DI Questions. Data Structures basics questions and answers with explanation for Various Companies Written Round, competitive examination, and entrance test.
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  • Get the Fully solved examples with a detailed answer and description. You can solve Data Structures problems with solutions, the questions by companies wise by filtering the questions, additionally, you can check what type of questions are being asked in IT companies Written Round from DI. Data Structures became one of the most important sections in the entire competitive exams, Companies Campus, and entrance online test. All the Data Structures practice questions given here along with answers and explanations are absolutely free, you can take any number of time any mock Test. You can solve Data Structures problems with solutions, the questions by companies wise by filtering the questions, additionally, you can check what type of questions are being asked in IT companies Written Round from this section.
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