Package Challenge

Introduction

You want to send your friend a package with different things. Each thing you put inside the package has such parameters as index number, weight and cost. The package has a weight limit. Your goal is to determine which things to put into the package so that the total weight is less than or equal to the package limit and the total cost is as large as possible. You would prefer to send a package which weighs less in case there is more than one package with the same price.

Input sample

Your API should accept as its first argument a path to a filename. The input file contains several lines. Each line is one test case. Each line contains the weight that the package can take (before the colon) and the list of items you need to choose. Each item is enclosed in parentheses where the 1st number is a item’s index number, the 2nd is its weight and the 3rd is its cost. E.g.

81 : (1,53.38,€45) (2,88.62,€98) (3,78.48,€3) (4,72.30,€76) (5,30.18,€9) (6,46.34,€48)
8 : (1,15.3,€34)
75 : (1,85.31,€29) (2,14.55,€74) (3,3.98,€16) (4,26.24,€55) (5,63.69,€52) (6,76.25,€75) (7,60.02,€74) (8,93.18,€35) (9,89.95,€78)
56 : (1,90.72,€13) (2,33.80,€40) (3,43.15,€10) (4,37.97,€16) (5,46.81,€36) (6,48.77,€79) (7,81.80,€45) (8,19.36,€79) (9,6.76,€64)

Output sample

For each set of items that you put into a package provide a new row in the output string (items’ index numbers are separated by comma). E.g.

4
-
2,7
8,9

Constraints

1. Max weight that a package can take is ≤ 100
2. There might be up to 15 items you need to choose from
3. Max weight and cost of an item is ≤ 100
4. You should implement a class Packer with a static method named pack.
5. This method accepts a file path to a test file as a string. The test file will be in UTF-8 format. The pack method returns the solution as a string.
6. Your method should throw an error named PackingError where relevant, if any constraints are not met. Therefore your signature in pseudocode should look like:

class Packer {
  async pack(filePath: string): Promise<string> {
    // ...
  }
}

7. Signatures of Packer class, pack() method and PackingError are already provided, please do not change them.

Usage

Install NPM package: npm install jt-packer-utility

Import and Use: import Packer from 'jt-packer-utility';

const packingSolution = await Packer.pack(filePath); // filePath is an absolute/relative file path