Given an input a[]={5,3,2,1,0}, key=1, what is position of key element ( assume binary search)102Error
Question
Given an input a[]={5,3,2,1,0}, key=1, what is position of key element ( assume binary search)102Error
Solution
Binary search is a fast search algorithm with run-time complexity of Ο(log n). This search algorithm works on the principle of divide and conquer. However, for Binary Search to work, the array must be sorted.
The given array is: a[]={5,3,2,1,0} and the key=1.
First, we need to sort the array: a[]={0,1,2,3,5}
Now, let's perform binary search:
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Find the middle element of the array. The middle element is 2 (at index 2). This is not equal to the key.
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Since 1 (key) is less than 2, we ignore the right half of the array and consider the left half: {0,1}.
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The middle element of this sub-array is 0 (at index 0). This is not equal to the key.
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Since 1 (key) is greater than 0, we ignore the left half of the sub-array and consider the right half: {1}.
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The middle (and only) element of this sub-array is 1 (at index 1). This is equal to the key.
So, the position of the key element (1) in the sorted array is 1.
Please note that in the original unsorted array, the position of the key element (1) is 3.
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