#!/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: You are running up n steps. If you can take a single, double, or triple step, how many possible ways are there to run up to the nth step? # # * [Constraints](#Constraints) # * [Test Cases](#Test-Cases) # * [Algorithm](#Algorithm) # * [Code](#Code) # * [Unit Test](#Unit-Test) # * [Solution Notebook](#Solution-Notebook) # ## Constraints # # * If n == 0, what should the result be? # * Go with 1, but discuss different approaches # * Can we assume the inputs are valid? # * No # * Can we assume this fits memory? # * Yes # ## Test Cases # # * None or negative input -> Exception # * n == 0 -> 1 # * n == 1 -> 1 # * n == 2 -> 2 # * n == 3 -> 4 # * n == 4 -> 7 # * n == 10 -> 274 # ## 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 Steps(object): def count_ways(self, num_steps): # TODO: Implement me pass # ## Unit Test # **The following unit test is expected to fail until you solve the challenge.** # In[ ]: # %load test_steps.py import unittest class TestSteps(unittest.TestCase): def test_steps(self): steps = Steps() self.assertRaises(TypeError, steps.count_ways, None) self.assertRaises(TypeError, steps.count_ways, -1) self.assertEqual(steps.count_ways(0), 1) self.assertEqual(steps.count_ways(1), 1) self.assertEqual(steps.count_ways(2), 2) self.assertEqual(steps.count_ways(3), 4) self.assertEqual(steps.count_ways(4), 7) self.assertEqual(steps.count_ways(10), 274) print('Success: test_steps') def main(): test = TestSteps() test.test_steps() if __name__ == '__main__': main() # ## Solution Notebook # # Review the [Solution Notebook]() for a discussion on algorithms and code solutions.