dynamic_programming.minimum_tickets_cost

Author : Alexander Pantyukhin Date : November 1, 2022

Task: Given a list of days when you need to travel. Each day is integer from 1 to 365. You are able to use tickets for 1 day, 7 days and 30 days. Each ticket has a cost.

Find the minimum cost you need to travel every day in the given list of days.

Implementation notes: implementation Dynamic Programming up bottom approach.

Runtime complexity: O(n)

The implementation was tested on the leetcode: https://leetcode.com/problems/minimum-cost-for-tickets/

Minimum Cost For Tickets Dynamic Programming: up -> down.

Functions

mincost_tickets(→ int)

Module Contents

dynamic_programming.minimum_tickets_cost.mincost_tickets(days: list[int], costs: list[int]) → int

>>> mincost_tickets([1, 4, 6, 7, 8, 20], [2, 7, 15])
11

>>> mincost_tickets([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31],  [2, 7, 15])
17

>>> mincost_tickets([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31], [2, 90, 150])
24

>>> mincost_tickets([2], [2, 90, 150])
2

>>> mincost_tickets([], [2, 90, 150])
0

>>> mincost_tickets('hello', [2, 90, 150])
Traceback (most recent call last):
 ...
ValueError: The parameter days should be a list of integers

>>> mincost_tickets([], 'world')
Traceback (most recent call last):
 ...
ValueError: The parameter costs should be a list of three integers

>>> mincost_tickets([0.25, 2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31], [2, 90, 150])
Traceback (most recent call last):
 ...
ValueError: The parameter days should be a list of integers

>>> mincost_tickets([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31], [2, 0.9, 150])
Traceback (most recent call last):
 ...
ValueError: The parameter costs should be a list of three integers

>>> mincost_tickets([-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31], [2, 90, 150])
Traceback (most recent call last):
 ...
ValueError: All days elements should be greater than 0

>>> mincost_tickets([2, 367], [2, 90, 150])
Traceback (most recent call last):
 ...
ValueError: All days elements should be less than 366

>>> mincost_tickets([2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31], [])
Traceback (most recent call last):
 ...
ValueError: The parameter costs should be a list of three integers

>>> mincost_tickets([], [])
Traceback (most recent call last):
 ...
ValueError: The parameter costs should be a list of three integers

>>> mincost_tickets([2, 3, 4, 5, 6, 7, 8, 9, 10, 30, 31], [1, 2, 3, 4])
Traceback (most recent call last):
 ...
ValueError: The parameter costs should be a list of three integers