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Find a formula for the total number of swap operations performed by the iteration of INSERT(x, A) with the values of priorities of inserted processes

Find a formula for the total number of swap operations performed by the iteration of INSERT(x, A) with the values of priorities of inserted processes equal to n, n-1, n-2, , 1. Assume that the priority queue A is initially empty. Leave your answer in the form of a sum.

procedure INSERT(x: processtype; var A: PRIORITYQUEUE);

var i: integer; temp: processtype; begin A.last := A.last + 1; A.contents[A.last] := x; i := A.last; while (i > 1) and (p(A.contents[i]) < p(A.contents[i div 2])) do begin temp := A.contents[i]; A.contents[i] := A.contents[i div 2]; A.contents[i div 2] := temp; i := i div 2; end end;

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