[JS] Colorful Numbers

colorfulNumbers.js

// Source problem: https://algorithms.tutorialhorizon.com/colorful-numbers/
// Objective: Given a number, find out whether its colorful or not.
// Colorful Number: When in a given number, product of every digit of a sub-sequence are different. That number is called Colorful Number.
// Given Number : 3245
// Output : Colorful
// Number 3245 can be broken into parts like 3 2 4 5 32 24 45 324 245.
// this number is a colorful number, since product of every digit of a sub-sequence are different.
// That is, 3 2 4 5 (3*2)=6 (2*4)=8 (4*5)=20, (3*2*4)= 24 (2*4*5)= 40

// Given Number : 326
// Output : Not Colorful.
// 326 is not a colorful number as it generates 3 2 6 (3*2)=6 (2*6)=12.

function isColorful(number) { 
  const products = new Set();  
  for(let i = 0; i < number.length; i++) {  
    for(let j = i + 1; j <= number.length; j++) { 
      const subNumber = number.slice(i, j);  
      const product = subNumber.split("").reduce((prod, num) => {
        return prod * Number(num);
      } , 1); 
      if(products.has(product)) return false;
      else products.add(product);
    }
  }
  
  return true;
}

// -------------------------------- Test ------------------------------ //
console.log(isColorful('3245')) // true
console.log(isColorful('123')) // false
console.log(isColorful('326')) // false
console.log(isColorful('')) // true
console.log(isColorful('9')) // true