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Added Tree Sort#14

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Merged
abranhe merged 9 commits intoabranhe:masterfromPratham1807:master
Oct 11, 2018
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1 change: 1 addition & 0 deletionsallalgorithms/sorting/__init__.py
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Expand Up@@ -5,3 +5,4 @@
from .pidgeonhole_sort import pidgeonhole_sort
from .stooge_sort import stooge_sort
from .cocktail_shaker_sort import cocktail_shaker_sort
from .tree_sort import tree_sort
48 changes: 48 additions & 0 deletionsallalgorithms/sorting/tree_sort.py
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@@ -0,0 +1,48 @@
class BinaryTreeNode(object):
#initial values for value,left and right
def __init__(self, value):
self.value = value
self.left = None
self.right = None


# inserting a new node in the binary tree
def insert(tree, item):
# if no initial element in the tree
if tree == None:
tree = BinaryTreeNode(item)
else:
if (item < tree.value):
# if left branch of the tree is empty
if (tree.left == None):
tree.left = BinaryTreeNode(item)
else:
insert(tree.left, item)
else:
# if right branch of the tree is empty
if (tree.right == None):
tree.right = BinaryTreeNode(item)
else:
insert(tree.right, item)
return tree

# funtion for the inorder traversal of the binary tree
def in_order_traversal(tree,a):
if (tree.left != None):
in_order_traversal(tree.left,a)
a.append(tree.value)
if (tree.right != None):
in_order_traversal(tree.right,a)


def tree_sort(x):
# root node
t = insert(None, x[0]);
# inserting all elements in the binary tree
for i in x[1:]:
insert(t,i)
# the results of the inorder traversal of a binary tree is a sorted
a = []
in_order_traversal(t,a)
return a

38 changes: 38 additions & 0 deletionsdocs/sorting/tree-sort.md
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@@ -0,0 +1,38 @@
# Tree Sort

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:
1. Frist is creating a binary search tree using the given array elements.
2. Second phase is traversing the given binary search tree in inorder, thus resulting in a sorted array.

**Performance**

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.



## Install

```
pip install allalgorithms
```

## Usage

```py
from allalgorithms.sorting import tree_sort

arr = [77, 2, 10, -2, 1, 7]

print(tree_sort(arr))
# -> [-2, 1, 2, 7, 10, 77]
```

## API

### tree_sort(array)

> Returns a sorted array

##### Params:

- `array`: Unsorted Array
6 changes: 5 additions & 1 deletiontests/test_sorting.py
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Expand Up@@ -7,7 +7,8 @@
selection_sort,
pidgeonhole_sort,
stooge_sort,
cocktail_shaker_sort
cocktail_shaker_sort,
tree_sort
)


Expand All@@ -32,6 +33,9 @@ def test_stooge_sort(self):

def test_cocktail_shaker_sort(self):
self.assertEqual([-44, 1, 2, 3, 7, 19], cocktail_shaker_sort([7, 3, 2, 19, -44, 1]))

def tree_sort(self):
self.assertEqual([-44, 1, 2, 3, 7, 19], tree_sort([7, 3, 2, 19, -44, 1]))


if __name__ == "__main__":
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