Question
Check whether the following array represents a max-heap. If not run an algorithm to convert it into a max-heap:
6, 20, 18, 15, 17, 11, 12, 13
Answer :
Word Count : 511
To check if an array represents a max-heap, we need to verify the following property for each element in the array: - For any element at index \( i \), its left child is at index \( 2i + 1 \), and its right child is at index \( 2i + 2 \). - The value at index \( i \) must be greater than or equal to the values at both the left and right children, if they exist. Let's first check whether the array represents a max-heap: Given array: \[ 6, 20, 18, 15, 17, 11, 12, 13 \] ### _____ _________ ____ ______ ___ ____ _______ ____ ___.
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To check if an array represents a max-heap, we need to verify the following property for each element in the array: - For any element at index \( i \), its left child is at index \( 2i + 1 \), and its right child is at index \( 2i + 2 \). - The value at index \( i \) must be greater than or equal to the values at both the left and right children, if they exist. Let's first check whether the array represents a max-heap: Given array: \[ 6, 20, 18, 15, 17, 11, 12, 13 \] ### _____ _________ ____ ______ ___ ____ _______ ____ ___.
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