Suppose we want to find the 2nd largest and 2nd smallest elements simultaneously for an input of n numbers stored in an array a[1: n]. compare the following strategies in terms of their exact number of comparisons. strategy 1: adapt the two separate for loops idea for minimum and maximum. strategy 2: run mergesort to sort the numbers in ascending or descending order, then output the 2nd ranked and (n-1)th ranked elements. first write each algorithm in pseudocde, then analyze the exact number of comparisons required by the algorithm. note, asymptotic calculations will only get you partial credit for this problem. can you find a better strategy for this problem than the two given? if yes, write the algorithm and analyze the exact number of comparisons required by the algorithm. if not, prove that one of the given strategies is optimal.

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