work.docx - The recursive pseudocode algorithm which looks...

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The recursive pseudocode algorithm which looks for specific text within all textbooks located in a library a) The algorithm for binary search is given below: Algorithm: 1. binarySearch(in array[], int first, int last, int key) 2. mid = (first+ first)/2 //here first and last are index of first and last element of the array 3. if(key==array[mid]) 4. return index 5. else if(key<array[mid]) 6. return binarySearch(array, first, mid-1, key) //start seraching in the left subtree recursively 7. else 8. return binarySearch(array, mid+1, last, key)//start seraching in the right subtree recursively b) The recurrence relation for the above algorithm will be T(n) = T(n/2) + c T(n/2), because we are dividing the array into half and after the comparison, we are starting to look at the half side of the array. After solving this recurrence suing master theorem we will get the time complexity T(n) = O(log n)
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The document explaining sort priorities, including: the list of character sort strings, numerical data searches, arrays, subarrays, normalization database link revisions, and Pivindex
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