Assume that, in the worst case, an algorithm takes 1 second to  process 100 elements.  How long will it take to process 2,000 elements if the growth rate  of the algorithm is?  (a) O(N)  (b) O(N2)

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A: inner loop complexity - n^2 value of i       no. of iteration 0                      n^2 1…

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Q: Q2. time complexity of the following algorithm for n-1 to n ²³-1 do for je it1 to n² do print j for…

A: The answer is given below.

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Q: Q2. time complexity of the following algorithm for n-1 to n ³²-1 do for ji+1 to n² do print j for K…

A: I have explained how to calculate the time complexity of above program. See below steps.

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Q: Q2. time complexity of the following algorithm for n-1 to n ³-1 do for ji+1 to n² do print j for K ²…

A: I have explained how to calculate the time complexity of above program. See below steps.

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A: Соunting  sоrt  is  а  sоrting  teсhnique  bаsed  оn  keys  between  а  sрeсifiс  rаnge.  It  wоrks…

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A:

Q: ALGORITHM

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Q: 10. Which of the following is the recurrence equation for the worst case time complexity of the…

A: According to the asked question, the solution is given below with a proper explanation.

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A: See the answer in second step.

Q: find running Time complexity T(n) and Space complexity S(n). Also   show in big-O notation.

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Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.