Explanation:
1. Import the heapq Module
import heapq
Purpose: This imports Python’s built-in heapq module, which provides functions for implementing a min-heap.
Min-heap: A binary heap where the smallest element is always at the root.
2. Define the List
nums = [5, 3, 8, 1]
Purpose: Creates a Python list nums containing integers [5, 3, 8, 1].
Current structure: It’s a normal unsorted list at this point, not a heap yet.
3. Convert List to a Heap
heapq.heapify(nums)
Purpose: Transforms the list nums into a min-heap in-place.
How it works:
Rearranges the elements so the smallest number becomes the first element (nums[0]).
The rest of the list maintains the heap property: for every parent node i, nums[i] <= nums[2*i+1] and nums[i] <= nums[2*i+2].
Resulting heap: [1, 3, 8, 5] (the exact order after the root can vary but the heap property holds).
4. Pop the Smallest Element
print(heapq.heappop(nums))
Purpose: Removes and returns the smallest element from the heap.
Step by step:
Heap root (nums[0]) is 1, which is the smallest element.
Remove 1 and restructure the heap to maintain the min-heap property.
The remaining heap becomes [3, 5, 8].
Output: 1 (printed to the console).
Output:
1


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