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:
-
Sort the Array: Begin by sorting the unsorted array in ascending order.
-
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:
-
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}
- Start with the unsorted array:
-
Find the k-th Element:
- The position index
kis given as3. - In a 0-based indexed array, the element at position
3in the sorted array{0, 1, 5, 7, 16, 19}is7.
- The position index
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.