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Price Decorators

Wrap a base price in discount, tax, shipping and coupon decorators applied in order.

What you'll learn

  • Stack behaviours in layers around a value
  • Apply percentages in the right order
  • Clamp a value so it never goes below zero

Problem

The decorator pattern adds behaviour by wrapping an object in layers. Each layer here changes the price of the layer inside it.

Start from base_price and apply the decorators in order:

  • discount p: reduce the price by p percent.
  • tax p: increase the price by p percent.
  • shipping a: add a fixed amount a.
  • coupon a: subtract a, but never go below 0.

Implement price_decorators(base_price, decorators).

Input

base_price: The starting price.

decorators: The layers, in the order they wrap the price. Amounts may have decimals.

Output

Return the final price. Answers within 1e-6 are accepted.

Constraints

0 ≤ base_price ≤ 1,000,000

0 ≤ number of decorators ≤ 100; 0 ≤ p ≤ 100, 0 ≤ a ≤ 100,000

Examples

Example 1
Input:
base_price = 100
decorators = ["discount 10", "tax 8", "shipping 5"]

Expected output:
expected = 102.2
Input:
long long base_price = 100;
std::vector<std::string> decorators = {"discount 10", "tax 8", "shipping 5"};

Expected output:
double expected = 102.2;
Input:
long base_price = 100;
string[] decorators = new string[] {"discount 10", "tax 8", "shipping 5"};

Expected output:
double expected = 102.2;

Explanation

100 − 10% = 90, plus 8% tax = 97.2, plus 5 shipping = 102.2.

Example 2
Input:
base_price = 20
decorators = ["coupon 25", "shipping 4"]

Expected output:
expected = 4.0
Input:
long long base_price = 20;
std::vector<std::string> decorators = {"coupon 25", "shipping 4"};

Expected output:
double expected = 4.0;
Input:
long base_price = 20;
string[] decorators = new string[] {"coupon 25", "shipping 4"};

Expected output:
double expected = 4.0;

Explanation

The coupon would take the price below zero, so it stops at 0; shipping then makes it 4.

How to approach it

Try on your own first, then open one hint at a time.

Hint 1

Apply the layers strictly in the given order.

Hint 2

Percentages are taken from the current price, not the base price.

Hint 3

A coupon can never push the price below 0.

Expected complexity

O(number of decorators) time, O(1) extra space

References

This challenge is adapted for CodeUtility. Follow the statement and constraints above.

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