nice

```
write c program that void sift_up(int *arr, int pos);
// sift down min-heap operation
// GIGO if arr is NULL, if pos is outside the array, or len is incorrect
```

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Answer from Sia

Posted 4 months ago

c

c

Explanation

The "sift_up" function is used to maintain the heap property in a min-heap after a change in a node's value that might be smaller than its parent's value. The function swaps the node with its parent until the heap property is restored.

Step-by-step Instruction

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Use a while loop to compare the current node with its parent and swap if necessary

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Continue the loop until the current node is at the root or no longer less than its parent

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Define the main function to test the `sift_up` function with specific use cases

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Use assertions to verify that the heap property is maintained after the `sift_up` operation

Time Complexity

The time complexity of the sift_up function is O(log n) because in the worst case, a node may need to be swapped up through the height of the heap, which is logarithmic relative to the number of elements.

Space Complexity

The space complexity is O(1) as the operation is performed in place and no additional space is used apart from temporary variables.

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