PK ��E�\$�?�3�3rosetta-latest/index.html A Rosetta Mind

# Rosetta Mind, a mix of minds.¶

This document writes something about Python, something about common algorithms and data structures.

## TOC¶

### Programming¶

#### Basics¶

##### Searching/Sorting¶
###### Sorting¶
Heap Sort

HeapSort is easy to comprehend given the understanding of the data structure binary heap.

```void SiftDown(int *arr, int start, int end) {
// for a zero-based array, suppose current pos is i
// iParent = floor((i-1) / 2)  iLeftChild = 2*i + 1  iRightChild = 2*i + 2
int root{start};
while (root*2+1 < end) { // while the root has at least one child
int lchild{root*2+1}; // the pos of the left child
int maxPos{root}; // maxPos to be set to the largest element, so as to maintain heap-property
if (arr[maxPos] < arr[lchild])
maxPos = lchild;
if (lchild+1 < end && arr[maxPos] < arr[lchild+1])
maxPos = lchild+1; // the pos of the right child
if (maxPos != root) {
swap(arr[maxPos], arr[root]);
// NB this iteratively sifting part could be best illustrated with a binary tree
root = maxPos; // repeat to continue sifting down the child
} else
return;
}
}

void Heapify(int *arr, int n) { // we are building a max-heap
// the last element in a 0-based array is at index count-1; find the parent of that element
int start{(n-2) >> 1};
while (start > -1) {
SiftDown(arr, start, n);
start--;
}
}

void HeapSort(int *arr, int n) {
Heapify(arr, n);
int epos{n-1};
while (epos > 0) {
swap(arr, arr[epos]);
SiftDown(arr, 0, epos); // do not pass n here
--epos; // NB the heap size is decremented by 1.
}
}
```

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## ' + _('Searching') + '

').appendTo(this.out); this.dots = \$('').appendTo(this.title); this.status = \$('

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