You can sort a large array of integers that are in the range 1 to n by using an array count of n entries to count the number of occurrences of each integer in the array. For example, consider the following array of 14 integers that range from 1 to 9:
9 2 4 8 9 4 3 2 8 1 2 7 2 5
Form an array count of 9 elements such that count[i- 1] contains the number of times that i occurs in the array to be sorted. Thus, count is
1 4 1 2 1 0 1 2 2
We now know that 1 occurs once in the original array, 2 occurs four times, and so on. Thus, the sorted array is
1 2 2 2 2 3 4 4 5 7 8 8 9 9
a. Implement this sorting algorithm.
b. Using Big Oh notation, describe the efficiency of this algorithm.
c. Is this algorithm useful as a general sorting algorithm? Explain.
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