Question 1 / 3 - Language independent

Write a program which computes the price of a macaron order.

• Each macaron has the same unit price (given as input).
• Each macaron has a specific flavor.
• There are at most 5 distinct flavors among all the macarons.

An order is made of one or more sets

A specific set can contain up to 5 macarons but cannot contain macarons of identical flavors.

The baker always tries to fill up his 5-slots sets at the maximum. The order of macarons inside a set doesn't matter, and the order of sets doesn't matter either.

The baker offers a discount based on the number of different flavors in a set:

• 2 different flavors in the set = -10% on the price of the set
• 3 different flavors in the set = -20% on the price of the set
• 4 different flavors in the set = -30% on the price of the set
• 5 different flavors in the set = -40% on the price of the set

Function Specification

def compute_total_price(unit_price, macarons):

• Parameters:
  • unit_price: a macaron unit price
  • macarons: a list of strings corresponding to each macaron flavor
• Returns:
  • the total price of the order as an integer (rounded down if the total is a float number)

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Question 2 / 3 - Language independent

Objective

It is a windy day today and many tree leaves are covering the garden. Write a program that calculates the number of leaves left in the garden based on their location and a series of wind gusts.

How it works

• The ground is represented by a grid that is height squares high and width squares wide.
• The top left box is located at (0, 0) where the first integer represents the row and the second the column.
• Each element of the grid represents the number of leaves on the ground.
• The series of gusts, winds, is a string composed of the characters U (top), D (bottom), L (left), R (right).
• Each gust of wind moves the leaves on the grid one square in the direction of the wind.
• The leaves fly out of the garden when the wind pushes them out of the grid.

Implementation

Implement the function remaining_leaves(width, height, leaves, winds) which:

• Takes as inputs the integers width and height, the 2D integer array leaves, and the string winds with:
  • 0 < width < 20
  • 0 < height < 20
  • 0 <= leaves < 20
  • 0 <= number of characters in winds < 20
• Returns the number of leaves left on the floor as an integer.

Important note: in leaves, the first integer represents rows and the second integer represents columns.

Example

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Question 3 / 3 - Language independent

Objective

You are given a list of integers, which represent the monthly net profits of a company. The company wants you to look for the longest sequence of chronologically ordered months that have increasing profit, and return the length. The sequence can include non-adjacent months.

Implementation

Implement the function longest_profit(data) which takes as input a list of integers data, representing a given set of consecutive monthly profit values. An example input would look like this:

[-1, 9, 0, 8, -5, 6, -24]

Your longest_profit function should return an integer representing the length of the longest sequence of increasing monthly profits. For the above example, the correct output would be the following integer:

3

(the sequence could be [-1, 0, 6] or [-1, 0, 8])

More examples

[1, -4, 5, -3] => 2
[-3, -4, -5, -6] => 1

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