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Advanced Algorithms/Sorting algorithms.md

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+---
+date: 02.09.2024
+type: mixed
+---
+
+
+## Sorting algorithms and their [complexity](Complexity.md)
+
+| **Algorithm** | **Time Complexity**                                           |
+| ------------- | ------------------------------------------------------------- |
+| Selection     | $\mathcal{O}(n^2)$                                            |
+| Insertion     | $\mathcal{O}(n^2)$                                            |
+| Bubble        | $\mathcal{O}(n^2)$                                            |
+| Quick         | $\mathcal{O}(n^2)$ worst case, $\mathcal{O}(n\log n)$ average |
+| Merge         | $\mathcal{O}(n\log n)$                                        |
+| Heap          | $\mathcal{O}(n\log n)$                                        |
+
+### Selection Sort
+![Selection sort](Selection-sort-0.png)
+![](selection_sort.gif)
+### Insertion sort
+![](insertion_sort.gif)
+### Bubble sort
+
+![](bubble_sort.gif)
+
+### Quick sort
+![](quick_sort.gif)
+
+
+### Merge sort
+
+![](merge_sort.gif)
+
+Cooler visual:
+![](Merge-sort.gif)
+### Heap sort
+
+![](Heap_sort.gif)