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How do you find the element at a specific position in a sorted version of an unsorted array? Example: Input: {5, 1, 7, 19, 0, 16}, k = 3 Output: 5 Explanation: After sorting, the array becomes...

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Question Explain

Please determine the element located at the specified position in a sorted version of the given unsorted array. The input consists of an unsorted array of numbers and a position index 'k'. Your task is to first sort the array in ascending order and then identify the element that appears at the k-th index in this sorted array.

For example, consider the following scenario:

Input:
Unsorted Array: {5, 1, 7, 19, 0, 16}
Position Index (k): 3

Output:
5

Explanation:
First, sort the unsorted array to obtain: {0, 1, 5, 7, 16, 19}.
Then, locate the element at the 3rd index (considering 0-based indexing) in this sorted array, which is the number 5. Therefore, the output is 5.

Answer Example

To determine the element at a specific position in a sorted version of an unsorted array, you will need to follow these steps:

  1. Sort the Array: Begin by sorting the unsorted array in ascending order.

  2. Access the Element at the Specific Position: Once the array is sorted, access the element at the specified index 'k'.

Let's apply these steps to the example provided:

Example Input:

Unsorted Array: {5, 1, 7, 19, 0, 16}
Position Index (k): 3

Step-by-Step Solution:

  1. Sort the Array:

    • Start with the unsorted array: {5, 1, 7, 19, 0, 16}
    • Sort it in ascending order to get: {0, 1, 5, 7, 16, 19}
  2. Find the k-th Element:

    • The position index k is given as 3.
    • In a 0-based indexed array, the element at position 3 in the sorted array {0, 1, 5, 7, 16, 19} is 7.

Conclusion:

When using 0-based indexing, the element at the position index 3 in the sorted array is 7.

Key Points:

  • Ensure that the array is sorted properly.
  • Remember to adjust for the fact that array indices typically start at 0.

Thus, if the instructions indicate position k as given, remember that the position in terms of 0-based indexing directly corresponds to checking the k-th position in the sorted array.