#!/usr/bin/env python # coding: utf-8 # This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges). # # Challenge Notebook # ## Problem: Find the longest increasing subsequence. # # * [Constraints](#Constraints) # * [Test Cases](#Test-Cases) # * [Algorithm](#Algorithm) # * [Code](#Code) # * [Unit Test](#Unit-Test) # * [Solution Notebook](#Solution-Notebook) # ## Constraints # # * Are duplicates possible? # * Yes # * Can we assume the inputs are integers? # * Yes # * Can we assume the inputs are valid? # * No # * Do we expect the result to be an array of the longest increasing subsequence? # * Yes # * Can we assume this fits memory? # * Yes # ## Test Cases # # * None -> Exception # * [] -> [] # * [3, 4, -1, 0, 6, 2, 3] -> [-1, 0, 2, 3] # ## Algorithm # # Refer to the [Solution Notebook](). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start. # ## Code # In[ ]: class Subsequence(object): def longest_inc_subseq(self, seq): # TODO: Implement me pass # ## Unit Test # **The following unit test is expected to fail until you solve the challenge.** # In[ ]: # %load test_longest_increasing_subseq.py import unittest class TestLongestIncreasingSubseq(unittest.TestCase): def test_longest_increasing_subseq(self): subseq = Subsequence() self.assertRaises(TypeError, subseq.longest_inc_subseq, None) self.assertEqual(subseq.longest_inc_subseq([]), []) seq = [3, 4, -1, 0, 6, 2, 3] expected = [-1, 0, 2, 3] self.assertEqual(subseq.longest_inc_subseq(seq), expected) print('Success: test_longest_increasing_subseq') def main(): test = TestLongestIncreasingSubseq() test.test_longest_increasing_subseq() if __name__ == '__main__': main() # ## Solution Notebook # # Review the [Solution Notebook]() for a discussion on algorithms and code solutions.