freeCodeCamp/curriculum/challenges/espanol/10-coding-interview-prep/rosetta-code/count-the-coins.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
59713bd26bdeb8a594fb9413	Count the coins	5	302238	count-the-coins

--description--

There are four types of common coins in US currency:

• quarters (25 cents)
• dimes (10 cents)
• nickels (5 cents), and
• pennies (1 cent)

There are six ways to make change for 15 cents:

• A dime and a nickel
• A dime and 5 pennies
• 3 nickels
• 2 nickels and 5 pennies
• A nickel and 10 pennies
• 15 pennies

--instructions--

Implement a function to determine how many ways there are to make change for a given input, cents, that represents an amount of US pennies using these common coins.

--hints--

countCoins should be a function.

assert(typeof countCoins === 'function');

countCoins(15) should return 6.

assert.equal(countCoins(15), 6);

countCoins(85) shouls return 163.

assert.equal(countCoins(85), 163);

countCoins(100) should return 242.

assert.equal(countCoins(100), 242);

--seed--

--seed-contents--

function countCoins(cents) {

  return true;
}

--solutions--

function countCoins(cents) {
  const operands = [1, 5, 10, 25];
  const targetsLength = cents + 1;
  const operandsLength = operands.length;
  const t = [1];

  for (let a = 0; a < operandsLength; a++) {
    for (let b = 1; b < targetsLength; b++) {
      // initialise undefined target
      t[b] = t[b] ? t[b] : 0;

      // accumulate target + operand ways
      t[b] += (b < operands[a]) ? 0 : t[b - operands[a]];
    }
  }

  return t[targetsLength - 1];
}