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No. Tournament sort is a variation of heapsort but is based upon a naive selection sort. Selection sort takes O(n) time to find the largest element and requires n passes, and thus has an average complexity of O(n*n). Tournament sort takes O(n) time to build a priority queue and thus reduces the search time to O(log n) for each selection, and therefore has an average complexity of O(n log n), the same as heapsort.

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