--description--

Given an integer representing the number of candles you start with, and an integer representing how many burned candles it takes to create a new one, return the number of candles you will have used after creating and burning as many as you can.

For example, if given 7 candles and it takes 2 burned candles to make a new one:

1. Burn 7 candles to get 7 leftovers,
2. Recycle 6 leftovers into 3 new candles (1 leftover remains),
3. Burn 3 candles to get 3 more leftovers (4 total),
4. Recycle 4 leftovers into 2 new candles,
5. Burn 2 candles to get 2 leftovers,
6. Recycle 2 leftovers into 1 new candle,
7. Burn 1 candle.

You will have burned 13 total candles in the example.

--hints--

burnCandles(7, 2) should return 13

assert.equal(burnCandles(7, 2), 13);

burnCandles(10, 5) should return 12

assert.equal(burnCandles(10, 5), 12);

burnCandles(20, 3) should return 29

assert.equal(burnCandles(20, 3), 29);

burnCandles(17, 4) should return 22

assert.equal(burnCandles(17, 4), 22);

burnCandles(2345, 3) should return 3517

assert.equal(burnCandles(2345, 3), 3517);

--seed--

--seed-contents--

function burnCandles(candles, leftoversNeeded) {

  return candles;
}

--solutions--

function burnCandles(candles, leftoversNeeded) {
  let totalBurned = 0;
  let unusedLeftovers = 0;

  while (candles > 0) {
    totalBurned += candles;
    const leftovers = candles + unusedLeftovers;
    candles = Math.floor(leftovers / leftoversNeeded);
    unusedLeftovers = leftovers % leftoversNeeded;
  }

  return totalBurned;
}