Question: Write down the recurrence relation of the following sorting algorithm. What is the time complexity of this method (in 0 () notation)? Justify your answer.

 Write down the recurrence relation of the following sorting algorithm. What

Write down the recurrence relation of the following sorting algorithm. What is the time complexity of this method (in 0 () notation)? Justify your answer. Does this algorithm sort properly? Give an explanation if you think it does. Give a counterexample showing that it fails to sort if you think it doesn't. [10 pt] void StrangeSort(int a[], int min, int max) { if (min >= max) is wmint return; if (a[min] > a[max]) a max]). swap(a [min], a[max]); // constant-time operation int one_third = (max - min + 1) / 3; if (one_third >= 1) { Strangesort(a[], min, max - one_third); StrangeSort(a[], min + one_third, max); StrangeSort(a[], min, max - one_third)

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