VASPKIT and SeeK-path recommend different paths. Let the elements of array are - First Pass Sorting will start from the initial two elements. The worst case time complexity of bubble sort algorithm is O (n 2 ). Typically takes only a few minutes. Bubblesort can move an element at most 1 position towards the start of the array in each pass, not more. So you find in linear time the array element that was moved forward the most. The number of passes is the number of positions it is moved to the start, plus one for the last pass where nothing is moved. Sorting is done recursively comparing the adjacent numbers and shifting them in the increasing or decreasing order. The time it takes to sort input numbers increases exponentially. A bubble sort pass decreases every non-zero L (i) by one. Therefore the number of passes required is max (L (0), L (1), , L (n-1)). In your example: The max L (i) is L (2): the element at index 2 is 8 and there are two elements left of 8 that are larger than 8. Why did US v. Assange skip the court of appeal? To learn more, see our tips on writing great answers. WebInsertion Sort Visualization. For each element in the list, the Online 4 Step: if x [i]>x (i+1) then interchange x [i] and x [i+1] 5 Step: i=i+1 6 Step: If i<=n-1-Pass then go to step 4 7 Step: Pass=Pass+1. Here, 32 is greater than 13 (32 > 13), so it is already sorted. For a detailed analysis of bubble sort, see The Art of Computer Programming Volume 3: Sorting and Searching section 5.2.2. Signup and get free access to 100+ Tutorials and Practice Problems Start Now, A password reset link will be sent to the following email id, HackerEarths Privacy Policy and Terms of Service. Therefore the number of passes required is max(L(0), L(1), , L(n-1)). 8 Step: If Pass