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(7. 5pts) Computational problem solving: Proving correctness/incorrectness Is the algorithm below correct or incorrect? Prove it ! It is supposed to count the number of all identical integers that appear consecutively in a file of integers. Eg., lf f contains 1 2 3 3 3 4 35 66 78 8 8 8" then the correct answer is 9. Count(f: input file) count, i, j : integer count = 0 while (end-of-file(f) = false) i-read-next-integer (f) if (end-of-file (f) = false) then j = read-next-integer(f) if i-j then count - count+1 return count