Big-O Algorithm Complexity Cheat Sheet Created Date: 8/24/2016 10:43:56 AM. I would like to see the same type of complexity cheat sheet for algorithms for common math problems: addition, multiplication, division, subtraction, factorization, solving linear systems, solving eigen systems, matrix inversion, etc. I would like to see the same type of complexity cheat sheet for algorithms for common math problems: addition, multiplication, division, subtraction, factorization, solving linear systems, solving eigen systems, matrix inversion, etc. Ufo on May 5, 2013. Those depend a lot on the context. Firstly, the complexity for the arithmetic operations. Cheat sheet to familiarize yourself with the codes and to determine complexity levels based on a set of criteria. This document is meant as summary information only and is based on our best understanding of Medicare requirements at the time it was written. Time complexity. Genome assembly: pice together a genome from short reads (200bp) – Aspen: 300M reads – Spruce: 3000M reads. Pair-wise all-against all alignment for Aspen takes 3 weeks on 16 porcessors. What about spruce? Bioinformatician: Spruce: 300 uker 0 50 100 150 200 250 300 350 0 500 1000 1500 2000 2500 3000 3500 Time.
Time Complexity Cheat Sheet Python
Sorting Algorithms| Sorting Algorithms | Space complexity | Time complexity |
|---|
| Worst case | Best case | Average case | Worst case |
|---|
| Insertion Sort | O(1) | O(n) | O(n2) | O(n2) |
| Selection Sort | O(1) | O(n2) | O(n2) | O(n2) |
| Smooth Sort | O(1) | O(n) | O(n log n) | O(n log n) |
| Bubble Sort | O(1) | O(n) | O(n2) | O(n2) |
| Shell Sort | O(1) | O(n) | O(n log n2) | O(n log n2) |
| Mergesort | O(n) | O(n log n) | O(n log n) | O(n log n) |
| Quicksort | O(log n) | O(n log n) | O(n log n) | O(n log n) |
| Heapsort | O(1) | O(n log n) | O(n log n) | O(n log n) |
Complexity Cheat Sheet
Data Structures Comparison| Data Structures | Average Case | Worst Case |
|---|
| Search | Insert | Delete | Search | Insert | Delete |
|---|
| Array | O(n) | N/A | N/A | O(n) | N/A | N/A |
| Sorted Array | O(log n) | O(n) | O(n) | O(log n) | O(n) | O(n) |
| Linked List | O(n) | O(1) | O(1) | O(n) | O(1) | O(1) |
| Doubly Linked List | O(n) | O(1) | O(1) | O(n) | O(1) | O(1) |
| Stack | O(n) | O(1) | O(1) | O(n) | O(1) | O(1) |
| Hash table | O(1) | O(1) | O(1) | O(n) | O(n) | O(n) |
| Binary Search Tree | O(log n) | O(log n) | O(log n) | O(n) | O(n) | O(n) |
| B-Tree | O(log n) | O(log n) | O(log n) | O(log n) | O(log n) | O(log n) |
| Red-Black tree | O(log n) | O(log n) | O(log n) | O(log n) | O(log n) | O(log n) |
| AVL Tree | O(log n) | O(log n) | O(log n) | O(log n) | O(log n) | O(log n) |
Growth Rates| n f(n) | log n | n | n log n | n2 | 2n | n! |
|---|
| 10 | 0.003ns | 0.01ns | 0.033ns | 0.1ns | 1ns | 3.65ms |
| 20 | 0.004ns | 0.02ns | 0.086ns | 0.4ns | 1ms | 77years |
| 30 | 0.005ns | 0.03ns | 0.147ns | 0.9ns | 1sec | 8.4x1015yrs |
| 40 | 0.005ns | 0.04ns | 0.213ns | 1.6ns | 18.3min | -- |
| 50 | 0.006ns | 0.05ns | 0.282ns | 2.5ns | 13days | -- |
| 100 | 0.07 | 0.1ns | 0.644ns | 0.10ns | 4x1013yrs | -- |
| 1,000 | 0.010ns | 1.00ns | 9.966ns | 1ms | -- | -- |
| 10,000 | 0.013ns | 10ns | 130ns | 100ms | -- | -- |
| 100,000 | 0.017ns | 0.10ms | 1.67ms | 10sec | -- | -- |
| 1'000,000 | 0.020ns | 1ms | 19.93ms | 16.7min | -- | -- |
| 10'000,000 | 0.023ns | 0.01sec | 0.23ms | 1.16days | -- | -- |
| 100'000,000 | 0.027ns | 0.10sec | 2.66sec | 115.7days | -- | -- |
| 1,000'000,000 | 0.030ns | 1sec | 29.90sec | 31.7 years | -- | -- |