Code Explanation:
1) import heapq
Loads Python’s heapq module — utilities for working with a min-heap implemented on top of a regular list.
In a min-heap, the smallest element is always at index 0.
2) nums = [5, 1, 8, 3]
Creates a normal Python list with those four values.
At this point it is not yet a heap — just an ordinary list.
3) heapq.heapify(nums)
Converts the list in-place into a valid min-heap (O(n) operation).
After heapify the smallest element moves to index 0 and the list satisfies the heap property.
One possible internal arrangement after heapify is:
[1, 3, 8, 5]
(1 is the smallest and placed at index 0).
4) heapq.heappush(nums, 0)
Inserts 0 into the heap while maintaining the heap property.
Internally it appends the new element and “sifts it up” to the correct position.
Step-by-step (starting from [1, 3, 8, 5]):
append → [1, 3, 8, 5, 0]
sift up: 0 swaps with 3 → [1, 0, 8, 5, 3]
sift up: 0 swaps with 1 → [0, 1, 8, 5, 3]
Final heap after push:
[0, 1, 8, 5, 3]
5) print(heapq.heappop(nums), nums[0])
heapq.heappop(nums) removes and returns the smallest element (root) from the heap.
From [0, 1, 8, 5, 3] it removes 0.
To rebalance, it moves the last element (3) to the root and sifts it down:
put 3 at root → [3, 1, 8, 5]
sift down: swap 3 with smaller child 1 → [1, 3, 8, 5]
result heap after pop: [1, 3, 8, 5]
nums[0] after the pop is now the new smallest element 1.
Final printed output
0 1
Download Book - 500 Days Python Coding Challenges with Explanation
.png)

0 Comments:
Post a Comment