Word Count : 684

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To illustrate the counting sort algorithm, we will follow the steps systematically on the array \( A = [3, 4, 2, 7, 5, 4, 2, 1, 3, 1, 7] \). ### Step 1: Find the range of the input First, find the minimum and maximum values in the array to determine the range. - Min value: 1 - Max value: 7 ### Step 2: Create the count array Create an auxiliary count array to store the frequency of each number in the input array. The size of the count array will be the range of values (from 1 to 7), so we need an array of size 8 (we include an extra space to account for 0 indexing). - Count array (index represents values from 1 to 7): \[ \text{Count} = [0, 0, 0, 0, 0, ______ _____ _______ __________ __________ _______ ________ _____ ___.
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