Question: You are given an array consisting of n numbers. A popular element is an element that occurs (strictly) more than n/2 times in the array.

You are given an array consisting of n numbers. A popular element is an element that occurs (strictly) more than n/2 times in the array. Give an algorithm that nds the popular element in the array if it exists, otherwise it should output NO. Your algorithm should take no more than 2n comparisons. (As usual, we only count the comparisons between array elements.) Give pseudocode, argue its correctness, and show that your algorithm indeed takes no more than 2n comparisons. (Hint: Use a decrease and conquer strategy,similar to the celebrity problem.). I can post the celebrity problem if it is needed.

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