Code Explanation:
1. Importing the heapq module
import heapq
heapq is a Python module that implements the heap queue algorithm (also called a priority queue).
In Python, heapq always creates a min-heap (smallest element at the root).
2. Creating a list
nums = [8, 3, 5, 1]
A normal Python list nums is created with values [8, 3, 5, 1].
At this point, it’s just a list, not yet a heap.
3. Converting list to a heap
heapq.heapify(nums)
heapq.heapify(nums) rearranges the list in-place so it follows the min-heap property.
Now, the smallest number is always at index 0.
After heapify, nums becomes [1, 3, 5, 8].
4. Adding a new element to the heap
heapq.heappush(nums, 0)
heappush adds a new element to the heap while keeping the min-heap structure intact.
Here, 0 is inserted.
Now nums becomes [0, 1, 5, 8, 3] internally structured as a heap (not strictly sorted but heap-ordered).
5. Removing and returning the smallest element
heapq.heappop(nums)
heappop removes and returns the smallest element from the heap.
The smallest element here is 0.
After popping, heap rearranges automatically → nums becomes [1, 3, 5, 8].
6. Getting the largest 3 elements
heapq.nlargest(3, nums)
nlargest(3, nums) returns the 3 largest elements from the heap (or list).
Since nums = [1, 3, 5, 8], the 3 largest elements are [8, 5, 3].
7. Printing the result
print(heapq.heappop(nums), heapq.nlargest(3, nums))
First part: heapq.heappop(nums) → prints 0.
Second part: heapq.nlargest(3, nums) → prints [8, 5, 3].
Final Output:
0 [8, 5, 3]
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