Describe how to maintain the outcomes of the insertions and deletions made in the following ways in an incremental manner: Outside connection on the left
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- The following are the operations that you can do using a single linked list. Choose only one operation then create the algorithm and simulate. The attached Rubric will be used in evaluating the activity. 1. Delete a particular node in a single linked list 2. Delete the first node of a single linked list 3. Insertion after a given node of a single linked list 4. Insertion at a given position in a single linked list 5. Insertion before a given node in a single linked list 6. Reverse a single linked list EX: Delete the last node of a single linked list Problem" Deletion of the last node in a single linked list Algorithm" Step 1: if HEAD = NULL Write UNDERFLOW Go to Step 8 Step 2: SET PTR = HEAD Step 3: Repeat Steps 4 and while PTR à NEXT = NULL Step 4: SET PREPPTR = PTR Step 5: SET PTR =PTR à NEXT [End of loop] Step 6: SET PREPTR à NEXT = NULL Step 7: FREE PTR Step 8: EXIT…Records with equal keys are kept in the same order via stable sorting algorithms (i.e. values). In other words, a sorting technique is stable if R occurs before S in the original list and R appears before S in the sorted list whenever R and S have the same key. Is the counting-sort algorithm stable?A useful operation in databases is the naturalj oin.If we view a database as a list of ordered pairs of objects, then the natural join of databases A and B is the list of all ordered triples (x,y,z) such that the pair (x,y) is in A and the pair (y,z) is in B. Describe and analyze an efficient algorithm for computing the natural join of a list A of n pairs and a list B of m pairs. Data Structures & Algorithms C-7.55
- A common implementation of sequential files on disk has each block point to its successor, which may be any block on the disk. This method requires a constant amount of time to write a block (as the file is originally written), to read the first block in the file, and to read the ith block, once you have read the 1 - 1” block. Reading the lth block therefore requires time proportional to 1. Show how by adding just one additional pointer per node, you can keep all the other properties, but allow the lth block to be read in time proportional to log I. [Hint: heaps have implicit pointers from node I to what other nodes?] Explain what the algorithm for reading the th block has in common with an algorithm for raising a number to the ith power in time proportional to log 1.Give a clear description of an efficient algorithm for finding the ith smallest element of an n-element vector. Write some pseudocode for the algorithm and discuss its time complexity. Compare it with other plausible ways of achieving the same result. [Notes: Use zero-based indexing. You may assume for simplicity that all the elements of the vector are different].2. Consider the recursion relation. 2n-1 a1 1 and an+1 = an 2n+1 Write a script that uses a for loop to fill a 1 x 100 array with the first 100 a's. Note: There are faster and more elegant ways to do these calculations but we're practicing control structures.
- Given a singly linked list L, where x and y are two data elements that occupy the nodes NODEX and NODEY with PREVIOUSX as the node, which is the previous node of NODEX, write a pseudo-code to swap the date x and y in list L by manipulating the links only (data swapping is not allowed). Assume that x and y are available in the list and are neither neighbors nor the end nodes of list L. For example, given the list L shown in Figure P6.10(a), with L, NODEX, NODEY and PREVIOUSX marked on it, the swapping should yield the list shown in Figure P6.10(b). NODEX and NODEY are neither immediate neighbors nor the end nodes of list L. PREVIOUS X NODE X PREVIOUS X எக்க்கக்கா எத்த்தக்க (a) Before swapping g and x NODE Y NODE Y (b) After swapping g and x Linked Lists 193 NODE X Figure P6.10. Swapping of elements in a singly linked list by manipulating linksGiven a singly linked list L, where x and y are two data elements that occupy the nodes NODEX and NODEY with PREVIOUSX as the node, which is the previous node of NODEX, write a pseudo-code to swap the date x and y in list L by manipulating the links only (data swapping is not allowed). Assume that x and y are available in the list and are neither neighbors nor the end nodes of list L. For example, given the list L shown in Figure P6.10(a), with L, NODEX, NODEY and PREVIOUSX marked on it, the swapping should yield the list shown in Figure P6.10(b). NODEX and NODEY are neither immediate neighbors nor the end nodes of list L. PREVIOUS X NODE Y 00 bodo a X С NODE X PREVIOUS X g W (a) Before swapping g and x NODE Y Linked Lists 193 NODE X (b) After swapping g and x addada. Figure P6.10. Swapping of elements in a singly linked list by manipulating linksCreate the shuffleSort programme. It initially verifies that the data are correct. If so, the sort is complete. If not, the operation is repeated while the data are shuffled. What is the maximum possible running time? Is there a maximum possible running time? If not, why not? Would your answer change if the data were put in a unique arrangement every time they were shuffled?
- DNA is sequence of bases A, G, T, C. Let DNA [a..b] be the subsequence of DNA starting from index a finishing in b inclusive, and DNA[a..] be the subsequence of DNA starting from index a to the end. We could perform the following ops on DNAS: cross operation - they take DNA1 and DNA2 and numbers kl and k2. Then two new DNAS are created: DNA3 = DNA1[1,,k1]+DNA2[k2+1.] and DNA4 = DNA2[1..k2]+DNA1[k1+1..].mutate operation – they take a DNA, number k and one of the bases. Then they replace the base in position k in DNA with that base. also, they need to know certain characteristics of those DNAS. So, they can perform count operation - they take DNA and numbers k1 and k2 (k1 <= k2). This operation should return the number of A, G, T, C bases in DNA[k1..k2].The initial DNAS are numbered from 1 to n, where n is the amount of those DNAS. The new DNAS the first line of input file contains number n - the number of initial DNAS. Each of the following n lines contains the description of each DNA.…Consider the advantages of binary and linear searching and contrast them.Correct answer will be upvoted else Multiple Downvoted. Computer science. You need to change this grouping so all components in it are equivalent (I. e. it contains a few events of a similar component). To accomplish this, you pick some integer x that happens to some extent once in a, and afterward play out the accompanying activity quite a few times (perhaps zero): pick some portion [l,r] of the arrangement and eliminate it. Yet, there is one special case: you are not permitted to pick a fragment that contains x. All the more officially, you pick some adjoining aftereffect [al,al+1,… ,ar] to such an extent that ai≠x if l≤i≤r, and eliminate it. After expulsion, the numbering of components to one side of the eliminated portion changes: the component that was the (r+1)- th is presently l-th, the component that was (r+2)- th is currently (l+1)- th, etc (I. e. the leftover arrangement simply falls). Note that you can not change x after you picked it. For instance, assume n=6,…