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38 lines
755 B
Markdown
38 lines
755 B
Markdown
## sorting and searching
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<br>
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* **inversions** in a sequence is a pair of elements that are out of order with respect to the ordering relation. a sorting algorithm is a sequence of operations that reduces inversions to zero.
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* a **topological sort** of a diretect graph is a way of ordering the list of nodes such that if `(a, b)` is a edge of the graph, then `a` appears before `b`. it does not work if a graph has cycles or is not directed.
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<br>
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----
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### `sorting_algorithms.py`
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<br>
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```python
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> python3 sorting_algorithms.py
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Array: [3, 5, 1, 2, 10, 6]
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Testing merge sort: [1, 2, 3, 5, 6, 10]
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Testing quick sort: [1, 2, 3, 5, 6, 10]
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```
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<br>
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### `binary_search.py`
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<br>
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```python
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> python binary_search.py
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Recursive: 6
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Iterative: 6
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```
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