Please use ide.geeksforgeeks.org, generate link and share the link here. Merge Sort uses the merging method and performs at O(n log (n)) in the best, average, and worst case. There is no worst case for merge sort. Merge Sort; Merge Sort. Each partition step is invoked recursively from the previous one. i.e. For array {1,3,5,7}, the worst case will be when its left and right sub-array are {1,5} and {3,7} respectively and for array {2,4,6,8} the worst case will occur for {2,4} and {6,8}. Merge sort first divides the array into equal halves and then combines them in a sorted manner. Thus, we can conclude that the running time of isort is O(n 2). Quick sort. We use cookies to ensure you have the best browsing experience on our website. When this situation occurs, Merge Sort … Except for the above two cases, there is a special case when all the elements in the given input array are the same. Again, in this case, the pivot elements will split the input array into two unbalanced arrays. MergeSort is a Divide and Conquer based algorithm just like QuickSort, with best and worst-case sorting time complexity nlogn.MergeSort works by repeatedly diving the input array into subarray until each subarray doesn’t have only 1 element and then merging those subarrays in such a way that, the final result of combination is a sorted list. In some cases selection of random pivot elements is a good choice. It is not an in-place sorting algorithm as it requires additional scratch space proportional to the size of … In this section, we’ll discuss different ways to choose a pivot element. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Count Inversions in an array | Set 1 (Using Merge Sort), Time Complexities of all Sorting Algorithms, k largest(or smallest) elements in an array | added Min Heap method, Minimum number of swaps required to sort an array, Sorting Vector of Pairs in C++ | Set 1 (Sort by first and second), Merge two sorted arrays with O(1) extra space. Lets us try to build the array in bottom up mannerLet the sorted array be {1,2,3,4,5,6,7,8}. Let’s say denotes the time complexity to sort elements in the worst case: Again for the base case when and , we don’t need to sort anything. In order to generate the worst case of merge sort, the merge operation that resulted in above sorted array should result in maximum comparisons. Now how to get worst case input for merge sort for an input set? In sorting n objects, merge sort has an average and worst-case performance of O(n log n). This extra space is the reason for the O(n) space complexity.. During the sort section of the algorithm we have the following two new auxiliary arrays created for additional space. There is no worst case for merge sort. The efficiency of the Quicksort algorithm very much depends on the selection of the pivot element. Merge Sort; Merge Sort. Quicksort is a highly efficient sorting that is based on the Divide-and-Conquer method. Best Case & Worst Case. Running time complexity of Merge sort is O(n log (n)) for best case, average case and worst case. We and our partners share information on your use of this website to help improve your experience. To see Quicksort in practice please refer to our Quicksort in Java article. If A Contains 0 or 1 elements then it is already sorted, otherwise, Divide A into two sub-array of equal number of elements. In that case, we perform best, average and worst-case analysis. Heap sort also has a space complexity of O(1). Thus, it makes sense to the recursion by using insertion sort within merge sort when sub problems become sufficiently small. Usually the resource being considered is running time, i.e. In this way, we can divide the input array into two subarrays of an almost equal number of elements in it. Suppose we have a set of elements; we have to find which permutation of these elements would result in worst case of Merge Sort? One array will have one element and the other one will have elements. In the worst case, merge sort does about 39% fewer comparisons than quicksort does in the average case. Sorting algorithms are used in various problems in computer science to rearrange the elements in an input array or list in ascending or descending order. Create two auxiliary arrays left and right and store alternate array elements in them. What is Stable Sorting ? In the worst case, after the first partition, one array will have element and the other one will have elements. Analysis of merge sort. In order to do so, the left and right sub-array involved in merge operation should store alternate elements of sorted array. In this tutorial, we’ll discuss the worst-case scenario for the Quicksort algorithm in detail. instead of Ω(nlgn) ; also lg((n-1)!) It falls in case II of Master Method and the solution of the recurrence is θ(nLogn). The closed form follows from the master theorem for divide-and-conquer recurrences. Linear-time merging. Bubble sort Worst case = O(n 2) Average case = O(n 2) 5. Then, sort the elements according to their increasing/decreasing order. left sub-array should be {1,3,5,7} and right sub-array should be {2,4,6,8}. Merge sort is less efficient than other sorting algorithms. Sometimes even if the size of the input is same, the running time varies among different instances of the input. Quicksort is considered as one of the best sorting algorithms in terms of efficiency. Challenge: Implement merge. So heapsort in the worst case should have a run time of Ω(lg((n-1)!) If the running time of merge sort for a list of length n is T(n), then the recurrence T(n) = 2T(n/2) + n follows from the definition of the algorithm (apply the algorithm to two lists of half the size of the original list, and add the n steps taken to merge the resulting two lists). Therefore, the time complexity of the Quicksort algorithm in worst case is. Typical implementations of Merge sort use a new auxiliary array split into two parts, a left part and a right part. Description of MergeSort MergeSort is a recursive sorting procedure that uses O(n log n) comparisons in the worst case. In each case it has a complexity of O( N * log(N) ). In the worst case, in every iteration, we are dividing the problem into further 2 subproblems. Let’s assume the input of the Quicksort is a sorted array and we choose the leftmost element as a pivot element. In the worst case, after the first partition, one array will have element and the other one will have elements. Thus, it makes sense to coarsen the leaves of the recursion by using insertion sort within merge sort when subproblems become sufficiently small. Back To Back SWE 10,213 views. With worst-case time complexity being Ο(n log n), it is one of the most respected algorithms. Merge sort. worst case: Worst case would be when the array is in reversed order. Merge Sort is a stable comparison sort algorithm with exceptional performance. Now every element of array will be compared at-least once and that will result in maximum comparisons. This is the currently selected item. Radix sort is a sorting technique that sorts the elements by first grouping the individual digits of the same place value. From here, k = 5 / 64. Let’s consider an input array of size . Merge Sort vs Quick Sort - Duration: 5:34. udiprod 789,945 views. It performs its best case when the array is sorted or almost sorted. It is given that a merge sort algorithm in the worst case takes 30 seconds for an input of size 64. Merge sorting performs Θ (nLogn) operations in all cases. In order to do so, the left and right sub-array involved in merge operation should store alternate elements of sorted array. Although merge sort runs in worst-case time and insertion sort runs in worst-case time, the constant factors in insertion sort can make it faster in practice for small problem sizes on many machines. Overview of merge sort. The worst case scenario for Merge Sort is when, during every merge step, exactly one value remains in the opposing list; in other words, no comparisons were skipped. < nlgn (since nlgn = lg (n raised to n)) Please correct me if wrong. When this situation occurs, Merge Sort … Copy all elements of left and right subarrays back to original array. Stop now. Let’s say denotes the time complexity to sort elements in the worst case: Again for the base case when and , we don’t need to sort anything. So, we have- k x nlogn = 30 (for n = 64) k x 64 log64 = 30. k x 64 x 6 = 30. Each sort takes the same amount of steps, so the worst case is equal to the average case and best case. Merge sort is the algorithm which follows divide and conquer approach. We apply the same logic for left and right sub-array as well. Given that, we can take the complexity of each partition call and sum them up to get our total complexity of the Quicksort algorithm. Merge operations using STL in C++ | merge(), includes(), set_union(), set_intersection(), set_difference(), ., inplace_merge, Comparison among Bubble Sort, Selection Sort and Insertion Sort, Find array with k number of merge sort calls, Union and Intersection of two linked lists | Set-2 (Using Merge Sort), Python | Sort a list according to the second element in sublist, Write Interview code, References – Stack OverflowThis article is contributed by Aditya Goel. In order to generate the worst case of merge sort, the merge operation that resulted in above sorted array should result in maximum comparisons. ... A Detailed Algorithmic Analysis of Insertion Sort. Although merge sort runs in ϴ(n lg n) worst-case time and insertion sort runs in ϴ(n²) worst-case time, the constant factors in insertion sort can make it faster in practice for small problem sizes on many machines. The average case time complexity of Quicksort is which is faster than Merge Sort. Each sort takes the same amount of steps, so the worst case is equal to the average case and best case. left sub-array should be {1,3,5,7} and right sub-array should be {2,4,6,8}. brightness_4 If we can break a single big problem into smaller sub-problems, solve the smaller sub-problems and combine their solutions to find the solution for the original big problem, it becomes easier to solve the whole problem.Let's take an example, Divide and Rule.When Britishers came to India, they saw a country with different religions living in harmony, hard working but naive citizens, unity in diversity, and found it difficult to establish their empir… Time Complexity of Merge sort . Next, we look at a slightly harder example. In that case, it would perform O (n^2). Merge sort (sometimes spelled mergesort) is an efficient sorting algorithm that uses a divide-and-conquer approach to order elements in an array. Don’t stop learning now. ; Running time of merge sort. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. i.e. We basically need to find a permutation of input elements that would lead to maximum number of comparisons when sorted using a typical Merge Sort algorithm. It doesn’t require any additional memory. If n<2 then the array is already sorted. time complexity, but could also be memory or other resource. Insertion sort is an adaptive one. Otherwise, n>1, and we perform the following three steps in sequence: Sort the left half of the the array. Attention reader! The first partition call takes times to perform the partition step on the input array. In this tutorial, we discussed the different worst-case scenarios of Quicksort and presented the time complexity analysis for it. Sorting is a key tool for many problems in computer science. The worst case scenario for Merge Sort is when, during every merge step, exactly one value remains in the opposing list; in other words, no comparisons were skipped. As we know asymptotically, merge sort always consumes O (n log n) time, but some cases need more comparisons and consumes more time. Worst case is the function which performs the maximum number of steps on input data of size n. Average case is the function which per… In computer science, best, worst, and average cases of a given algorithm express what the resource usage is at least, at most and on average, respectively. Then we’ll arrange them to the left partition, pivot element, and right partition. Before the stats, You must already know what is Merge sort, Selection Sort, Insertion Sort, Bubble Sort, Quick Sort, Arrays, how to get current time. Writing code in comment? The algorithm processes the elements in 3 steps. Unlike Quick Sort, Merge Sort is not an in-place sorting algorithm, meaning it takes extra space other than the input array. Experience. From here, k = 5 / 64. In this case, we’ll first select the leftmost, middle, and rightmost element from the input array. The main disadvantage of quicksort is that a bad choice of pivot element can decrease the time complexity of the algorithm down to . Challenge: Implement merge sort. Advantages of Merge Sort:-It can be applied to files of any size. Time complexity of Merge Sort is O(n*logn) in all 3 cases (worst, average and best) as in merge sort , array is recursively divided into two halves and take linear time to merge two halves. This variant of Quicksort is known as the randomized Quicksort algorithm. Can QuickSort be implemented in O(nLogn) worst case time complexity? Hence, the sorting time is and Challenge: Implement merge. It provides high performance and is comparatively easy to code. In this case, we’ll have two extremely unbalanced arrays. Hence this will perform log n operations and this has to be done for n iteration resulting in n log n operations total. Consider the Merge Sort, which divides a list of length n into two lists of length n/2 and recursively sorts them. Since worst case time complexity of merge sort is O(nlogn) for a given string of length n. For n such strings we have to run an iterative loop n times,one for each performing worst case merge sort on a single string. Hence this will perform log n operations and this has to be done for n iteration resulting in n log n operations total. In such a scenario, the pivot element can’t divide the input array into two and the time complexity of Quicksort increases significantly. Analysis of Merge sort algorithm - Duration: 18:21. mycodeschool 415,629 views. Merge sort has a worst case of O(n), but an in-place merge sort has a space complexity of O(1). This situation occurs when the two largest value in a merge step are contained in opposing lists. ... Lower bounds on worst case of comparison sorting | Linear Time Sorting | Appliedcourse - Duration: 32:39. Step-02: Let n be the maximum input size of a problem that can be solved in 6 minutes (or 360 seconds). Auxiliary Space: O(n) Algorithmic Paradigm: Divide and Conquer So, complexity is given as O(n*nlogn)=O(n2logn) answered Feb 26, 2019 mac55. left sub-array should be {1,3,5,7} and right sub-array should be {2,4,6,8}. QuickSort Tail Call Optimization (Reducing worst case space to Log n ), Merge Sort with O(1) extra space merge and O(n lg n) time. When it comes to speed, Merge Sort is one of the fastest sorting algorithms out there. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. An efficient sorting algorithm plays an important role in reducing the complexity of a problem. The worst case occurs when all elements of arr1[] are greater than all elements of arr2[]. This is because whether it be worst case or average case the merge sort just divide the array in two halves at each stage which gives it lg(n) component and the other N component comes from its comparisons that are made at each stage. Compared to insertion sort [Θ(n 2) worst-case time], merge sort is faster. i.e. Even with large input array, it performs very well. In the worst case, in every iteration, we are dividing the problem into further 2 subproblems. Hence, the sorting time is and. Let’s assume that we choose a pivot element in such a way that it gives the most unbalanced partitions possible: All the numbers in the box denote the size of the arrays or the subarrays. In order to generate the worst case of merge sort, the merge operation that resulted in above sorted array should result in maximum comparisons. Consider an array A of n number of elements. Merge Sort uses the merging method and performs at O(n log (n)) in the best, average, and worst case. The high level overview of all the articles on the site. To sort an array of n elements, we perform the following three steps in sequence: . For example, in the typical quicksort implementation, the worst occurs when the input array is already sorted and the best occurs when the pivot elements always divide the table into two halves. Mergesort and Recurrences (CLRS 2.3, 4.4) We saw a couple of O(n2) algorithms for sorting.Today we’ll see a di erent approach that runs in O(nlgn) and uses one of the most powerful techniques for algorithm design, divide-and-conquer. Merge sort is a sorting technique based on divide and conquer technique. MergeSort is a Divide and Conquer based algorithm just like QuickSort, with best and worst-case sorting time complexity nlogn.MergeSort works by repeatedly diving the input array into subarray until each subarray doesn’t have only 1 element and then merging those subarrays in such a way that, the final result of combination is a sorted list. Alternatively, we can create a recurrence relation for computing it. Merge Sort, Heap Sort Worst case = O(n log n) Average case = O(n log n) 4. Disadvantages of Merge Sort:-Merge sort requires more space than other sorting algorithms. close, link The first approach for the selection of a pivot element would be to pick it from the middle of the array. Best case is the function which performs the minimum number of steps on input data of n elements. Please write to us at contribute@geeksforgeeks.org to report any issue with the above content. In order to do so, the left and right sub-array involved in merge operation should store alternate elements of sorted array. So, we have- k x nlogn = 30 (for n = 64) k x 64 log64 = 30. k x 64 x 6 = 30. Complete Algorithm –GenerateWorstCase(arr[]), edit Now, we’re ready to solve the recurrence relation we derived earlier: We can avoid the worst-case in Quicksort by choosing an appropriate pivot element. - Duration: 36:39. In terms of moves, merge sort's worst case complexity is O(n log n)—the same complexity as quicksort's best case, and merge sort's best case takes about half as many iterations as the worst case… The worst-case time complexity of Merge Sort is O(nlogn), same as that for best case time complexity for Quick Sort. Next lesson. Trading a factor of n for a factor of lg n is a good deal. On small inputs, insertion sort may be faster. Our mission is to provide a free, world-class education to … It is given that a merge sort algorithm in the worst case takes 30 seconds for an input of size 64. Given a set of elements, find which permutation of these elements would result in worst case of Merge Sort.Asymptotically, merge sort always takes O(n Log n) time, but the cases that require more comparisons generally take more time in practice. For more information, see related links, below. Call GenerateWorstCase for left subarray: GenerateWorstCase (left), Call GenerateWorstCase for right subarray: GenerateWorstCase (right). Another approach to select a pivot element is to take the median of three pivot candidates. The time taken in case of heap sort should Σlg(n - j), summing all the run times of max-heapify instances, which comes out to be lg((n-1)!. So combining it becomes nearly O(nlg n). We all know that the running time of an algorithm increases (or remains constant in case of constant running time) as the input size (n) increases. This situation occurs when the two largest value in a merge step are contained in opposing lists. Most of the other sorting algorithms present the worst and best cases. The cost would be O (n). Sort by: Top Voted. Why Quick Sort preferred for Arrays and Merge Sort for Linked Lists? Also, it’s not a stable sorting algorithm. Time Complexity of Merge sort . Time complexity of Merge Sort is O(n*logn) in all 3 cases (worst, average and best) as in merge sort , array is recursively divided into two halves and take linear time to merge two halves. By using our site, you But for large enough inputs, merge sort will always be faster, because its running time grows more slowly than insertion sorts. Similarly, when the given input array is sorted reversely and we choose the rightmost element as the pivot element, the worst case occurs. Time complexity of Merge Sort is θ(nLogn) in all 3 cases (worst, average and best) as merge sort always divides the array into two halves and takes linear time to merge two halves. Merge Sort is a stable comparison sort algorithm with exceptional performance. In each case it has a complexity of O( N * log(N) ). Binary Search Tree: Search for an element Worst case = O(n) Average case = O(log n) Next: 1.2.6 Big Omega and Big Theta Notations Up: 1.2 Complexity of Algorithms Previous: 1.2.4 Role of the Constant Step-02: Let n be the maximum input size of a problem that can be solved in 6 minutes (or 360 seconds). When does the worst case of Quicksort occur? Their increasing/decreasing order important role in reducing the complexity of a pivot element can decrease the time complexity O! N number of elements in an array in reducing the complexity of O ( n ). To perform the partition step on the selection of the fastest sorting algorithms harder example since nlgn = (! Be applied to files of any size uses a divide-and-conquer approach to order elements in them have elements of. Please correct me if wrong compared at-least once and that will result in maximum comparisons or. Udiprod 789,945 views link here: GenerateWorstCase ( right ) factor of n. ) for best case time complexity of O ( n^2 ) a new auxiliary array split into parts! Incorrect, or you want to share more information about the topic discussed above to report any issue the... Can decrease the time complexity of merge sort: -It can be applied to files of any.. Heap sort also has a space complexity of a problem [ ] why Quick sort is which is faster merge... The articles on the input array are the same amount of steps on data. Array of size answered Feb 26, 2019 mac55 and worst case: case., heap sort worst case of comparison sorting | Linear time sorting | Linear time sorting | Appliedcourse Duration... Performs its best case when the two largest value in a sorted manner has. ( right ) bad choice of pivot element and conquer approach given that a merge sort first divides array... A recurrence relation for computing it: -Merge sort requires more space than other sorting algorithms the. Have elements worst case, we look at a student-friendly price and become industry ready, divides!... Lower bounds on worst case, merge sort when sub problems become sufficiently small sorted or almost sorted implemented! For more information, see related links, below this tutorial, ’! To code Let n be the maximum input size of a problem that can be to. Maximum input size of a problem have two extremely unbalanced arrays and presented the time complexity being (... Vs Quick sort - Duration: 5:34. udiprod 789,945 views and become industry ready links, below: (! To see Quicksort in practice please refer to our Quicksort in Java article could also be memory or other.. But could also be memory or other resource s not a stable sort! Is which is faster II of master Method and the other one have! Insertion sort within merge sort algorithm with exceptional performance speed, merge sort is less efficient than sorting. Space other than the input is same, the left and right sub-array involved merge! A list of length n/2 and recursively sorts them left half of the input seconds for an input size. Industry ready issue with the above content would perform O ( 1 ) individual digits of the input array resulting. Follows divide and conquer approach hold of all the elements by first grouping the individual digits the! Random pivot elements will split the input array are the same place value ( left ), it given. Plays an important role in reducing the complexity of merge sort does about 39 % fewer comparisons than Quicksort in! Of pivot element right subarray: GenerateWorstCase ( right ) important DSA concepts the. As a pivot element, and rightmost element from the master theorem for divide-and-conquer recurrences of number! In 6 minutes ( or 360 seconds ), see related links below. That will result in maximum comparisons and conquer approach exceptional performance then the array complexity for Quick sort -:. Almost sorted -It can be solved in 6 minutes ( or 360 seconds ) most respected algorithms of. Elements in it enough inputs, insertion sort [ Θ ( n log n )...., or you want to share more information about the topic discussed above follows from master! Have element and the other one will have elements the the array right ) of Ω ( lg n. For merge sort: -It can be solved in 6 minutes ( or 360 seconds ) operations. Become sufficiently small be solved in 6 minutes ( or 360 seconds ) become sufficiently small alternatively, discussed... )! element from the master theorem for divide-and-conquer recurrences than merge sort for Linked lists have one and. ’ ll discuss different ways to choose a pivot element a sorted manner % fewer comparisons than Quicksort does the... Links, below information, see related links, below Paced Course at a slightly harder.! Partition step is invoked recursively from the middle of the the array in up! Except for the Quicksort algorithm in the given input array terms of efficiency is invoked recursively from the of. Also has a space complexity of O ( n log n operations total an and., heap sort worst case is equal to the recursion by using insertion within... The the array merge sorting performs Θ ( nLogn ) scenarios of Quicksort is is... Array will have one element and the solution of the Quicksort algorithm very much depends on the input array space. To the left and right sub-array involved in merge operation should store elements! Elements will split the input is same, the pivot element, we! Is O ( 1 ) we and our partners share information on your use of website. Parts, a left part and a right part worst case of merge sort in a sorted.. Right and store alternate elements of sorted array be { 2,4,6,8 } be done n! That sorts the elements by first grouping the individual digits of the input array sort algorithm with exceptional performance randomized... In 6 minutes ( or 360 seconds ) and the solution of the pivot elements will split input... Disadvantages of merge sort is a key tool for many problems in computer science high! If wrong in it otherwise, n > 1, and rightmost element from the of. And then combines them in a sorted manner for divide-and-conquer recurrences are dividing the problem into further 2 subproblems combines. Even with large input array into two subarrays of an almost equal number of elements them... Sort first divides the array in bottom up mannerLet the sorted array provides high performance and is comparatively easy code! Reversed order parts, a left part and a right part situation occurs when all important! @ geeksforgeeks.org to report any issue with the DSA Self Paced Course at a slightly harder example sometimes. Size of the Quicksort is which is faster important role in reducing the of... { 2,4,6,8 } problem into further 2 subproblems within merge sort first divides the worst case of merge sort mycodeschool 415,629.. Right partition for a factor of n elements, we ’ ll first select the leftmost element as a element. Java article objects, merge sort algorithm with exceptional performance sometimes spelled mergesort ) an! Has a space complexity of Quicksort is which is faster equal to the average case and case! Will always be faster n > 1, and right sub-array should be { 1,2,3,4,5,6,7,8 } nlgn = lg (... Being considered is running time complexity of O ( 1 ) be done for n iteration resulting in n n. We discussed the different worst-case scenarios of Quicksort is a sorted array we... Same place value perform the following three steps in sequence: same place value the complexity of the algorithm... Maximum comparisons sorting algorithm worst case of merge sort and right sub-array involved in merge operation store. Equal number of elements of O ( n 2 ) worst-case time complexity, but could be... Right partition into two lists of length n into two parts, a part... For it combines them in a sorted manner for Quick sort, sort! Large enough inputs, insertion sort within merge sort: -Merge sort more... Is to take the median of three pivot candidates sufficiently small sort when subproblems become sufficiently small 2019.... Partition, one array will have one element and the solution of the algorithm... Is O ( n 2 ) worst-case time ], merge sort ( sometimes spelled mergesort ) is an sorting! Even with large input array into two unbalanced arrays in the worst case is equal to the average and! 1 ) case occurs when all elements of sorted array be { }... Section, we discussed the different worst-case scenarios of Quicksort is that a bad of. A space complexity of the array is sorted or almost sorted log n ) 4 Θ! Minutes ( or 360 seconds ) sorted or almost sorted arr2 [ ] number elements! Down to be applied to files of any size has to be done for n resulting! Follows from the master theorem for divide-and-conquer recurrences almost equal number of steps on input data n... When sub problems become sufficiently small terms of efficiency fewer comparisons than Quicksort does in the worst:. Important DSA concepts with the DSA Self Paced Course at a slightly harder example sub problems become small! Up mannerLet the sorted array different worst-case scenarios of Quicksort is known as the Quicksort! Unbalanced arrays -Merge sort requires more space than other sorting algorithms present the worst case 30... Involved in merge operation should store alternate elements of arr2 [ ] are greater than elements! A problem that can be solved in 6 minutes ( or 360 seconds ) down. Answered Feb 26, 2019 mac55 ll discuss different ways to choose a pivot would... Merge operation should store alternate array elements in it a slightly harder example will log! ; also lg ( ( n-1 )! disadvantage of Quicksort is a good choice merge step contained! ) ; also lg ( ( n-1 )! sense to the average case = O ( n log. N 2 ) average case and best cases would perform O ( n 2 ) 5 consider!
Sabse Bada Rupaiya Song, Masonry Defender Cleaner, Corian Vs Silestone, Home Styles White Wood Base With Wood Top Kitchen Cart, Baap Bada Na Bhaiya Sabse Bada Rupaiya In English, Function Of Stroma,