Take Gifts From the Richest Pileeasy
Problem Statement
You're presented with several piles of gifts, with each pile containing a certain number of gifts. Every second, you'll engage in the following activity:
- Pick the pile that contains the highest number of gifts. If multiple piles share this distinction, you can select any of them.
- Compute the square root of the number of gifts in the selected pile, and then leave behind that many gifts (rounded down). Take all the other gifts from this pile.
- You'll do this for "k" seconds. The objective is to find out how many gifts would still remain after these "k" seconds.
Examples
-
- Input: gifts = [4, 9, 16], k = 2
- Expected Output: 11
- Justification:
- Take from third pile (16 gifts): leave (
) = 4 gifts, take 12. Remaining gifts = [4, 9, 4] - Take from second pile (9 gifts): leave (
) = 3 gifts, take 6. Remaining gifts = [4, 3, 4]
- Take from third pile (16 gifts): leave (
-
- Input: gifts = [1, 2, 3], k = 1
- Expected Output: 4
- Justification:
- Take from third pile (3 gifts): leave (
) = 1 gift (rounded down), take 2. Remaining gifts = [1, 2, 1]
- Take from third pile (3 gifts): leave (
-
- Input: gifts = [25, 36, 49], k = 3
- Expected Output: 18
- Justification:
- Take from third pile (49 gifts): leave (
) = 7 gifts, take 42. Remaining gifts = [25, 36, 7] - Take from second pile (36 gifts): leave (
) = 6 gifts, take 30. Remaining gifts = [25, 6, 7] - Take from first pile (25 gifts): leave (
) = 5 gifts, take 20. Remaining gifts = [5, 6, 7]
- Take from third pile (49 gifts): leave (
Constraints:
- 1 <= gifts.length <= 103
- 1 <= gifts[i] <= 109
- 1 <= k <= 103
Try it yourself
Try solving this question here:
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