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Input Filter Algorithm. As an additional example of using repetitive structures, let us consider the problem of filtering word lists in alphabetical order. But before we move on, we need to identify the challenges we will be working on. Sine, they open up enough card space but are not allowed to push extra objects to do more room. This limitation is typical of computer programs, not because the operating system is just that crowded like our desktop, but because we want to use the last resort found in an effective method. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

Simply put, our goal is to filter the list “inside.” In other words, we want to filter the list by shuffling its input opposite the relocation list. Our situation is similar to the problem of listing entries are recorded on various reference cards distributed on a crowded desktop. VU PAST PAPERS MIDTERM BY MOAAZ. vu solved past papers by moaaz

 

Let’s get in the door by considering how we can organize. Another way to filter this list is to note that a small list that only includes the top name, Fred, is filtered. but a small list with the top two names, Fred and Alex, does not exist. That way we can take the card containing the name Alex, slide Fred’s name down to where Alex was, and place Fred’s name Alex at the top of the list. VU PAST PAPERS MIDTERM BY MOAAZ

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Recursive Structure (The Binary Search Algorithm):
Recursive structures provide an alternative to the loop paradigm for implementing the repetition of
activities. Whereas a loop involves repeating a set of instructions in a manner in which the set is completed
and then repeated, recursion involves repeating the set of instructions as a subtask of itself. There, an incomplete telephone conversation is set aside while another incoming call is processed.

The result is that two conversations take place. However, they are not performed one after the other as in a loop structure, but instead, one is performed within the other. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

As an analogy, consider the process of conducting telephone conversations with the call waiting for the feature. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

As a way of introducing recursion, let us again tackle the problem of searching to see whether a particular entry is in a sorted list, but this time we get our foot in the door by considering the procedure we follow when searching a dictionary. In this case, we do not perform a sequential entry-by-entry or even a page-by-page procedure.If we are looking for the word somnambulism, we would start by opening to the latter portion of the dictionary. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

Rather, we begin by opening the directory to a page in the area where we believe the target entry is located. VU PAST PAPERS MIDTERM BY MOAAZ

If we are lucky, we will find the target value there; otherwise, we must continue searching. But at this point, we will have narrowed our search considerably. Of course, in the case of searching a dictionary, we have prior knowledge of where words are likely to be found.

In the case of generic lists, however, we do not have this advantage, so let us agree to always start our search with the “middle” entry in the list. Here we write the word middle in quotation marks because the list might have an even number of entries and thus no middle entry in the exact sense.

Otherwise, we can at least restrict the search process to the first or last half of the list depending on whether the target value is less than or greater than the entry we have considered. (Remember that the list is sorted.) In this case, let us agree that the “middle” entry refers to the first entry in the second half of the list. If the middle entry in the list is the target value, we can declare the search success. VU PAST PAPERS MIDTERM BY MOAAZ.

To search the remaining portion of the list, we could apply the sequential search, but instead, let us apply the same approach to this portion of the list that we used for the whole list. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

That is, we select the middle entry in the remaining portion of the list as the next entry to consider. As before, if that entry is the target value, we are finished. Otherwise, we can restrict our search to an even smaller portion of the list. This approach to the searching process is summarized in Figure 86, where we consider the task of searching
the list on the left of the figure for the entry John. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

We first consider the middle entry Harry. Since our target belongs after this entry, the search continues by considering the lower half of the original list. The middle of this sublist is found to be Larry. Since our target should precede Larry, we turn our attention to the first half of the current sublist. When we interrogate the middle of that secondary sublist, we find our target John and declare the search success. VU SOLVED PAST PAPERS BY MOAAZ

In short, our strategy is to successively divide the list in question into smaller segments until the target is found or the search is narrowed to an empty segment. VU PAST PAPERS MIDTERM BY MOAAZ. VU SOLVED PAST PAPERS BY MOAAZ

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