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docs/sorting/tree-sort.md

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# Tree Sort
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A tree sort is a sort algorithm that builds a binary search tree from the elements to be sorted, and then traverses the tree (in-order) so that the elements come out in sorted order. It has two phases:
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1. Frist is creating a binary search tree using the given array elements.
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2. Second phase is traversing the given binary search tree in inorder, thus resulting in a sorted array.
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**Performance**
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The average number of comparisions for this method is O(nlogn). But in worst case, number of comparisions is reduced by O(n^2), a case which arrives when the tree is skewed.
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## Install
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```
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pip install allalgorithms
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```
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## Usage
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```py
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from allalgorithms.sorting import tree_sort
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arr = [77, 2, 10, -2, 1, 7]
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print(tree_sort(arr))
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# -> [-2, 1, 2, 7, 10, 77]
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```
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## API
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### tree_sort(array)
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> Returns a sorted array
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##### Params:
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- `array`: Unsorted Array

tests/test_sorting.py

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selection_sort,
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pidgeonhole_sort,
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stooge_sort,
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cocktail_shaker_sort
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cocktail_shaker_sort,
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tree_sort
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)
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def test_cocktail_shaker_sort(self):
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self.assertEqual([-44, 1, 2, 3, 7, 19], cocktail_shaker_sort([7, 3, 2, 19, -44, 1]))
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def tree_sort(self):
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self.assertEqual([-44, 1, 2, 3, 7, 19], tree_sort([7, 3, 2, 19, -44, 1]))
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if __name__ == "__main__":

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