Q. An Array's name is Alpha[n], it has n number of inputs. The starting index of Alpha is 'strt', and the last index of the array is 'fnsh'. Use Merge sort and divide the array Alpha in 4 subarrays each time. Maintain the divide and conquer property. part -a. Write the merge sort algorithm with the names given in the question. Names must follow. part-b. Analyze your part (a) and find out the time complexit recurrence relation for this given case. part- c. Solve the recurrence relation from part b using recursion tree method. Find the worst case at the end. Show couple of steps and then similar steps can be given as part - d. Solve the recurrence relation from part b using master method. Find the worst case at the end from this master method.

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