2335. Minimum Amount of Time to Fill Cups

#### QUESTION:

You have a water dispenser that can dispense cold, warm, and hot water. Every second, you can either fill up 2 cups with different types of water, or 1 cup of any type of water.

You are given a 0-indexed integer array amount of length 3 where amount[0], amount[1], and amount[2] denote the number of cold, warm, and hot water cups you need to fill respectively. Return the minimum number of seconds needed to fill up all the cups.

Example 1:

``````Input: amount = [1,4,2]
Output: 4
Explanation: One way to fill up the cups is:
Second 1: Fill up a cold cup and a warm cup.
Second 2: Fill up a warm cup and a hot cup.
Second 3: Fill up a warm cup and a hot cup.
Second 4: Fill up a warm cup.
It can be proven that 4 is the minimum number of seconds needed.
``````

Example 2:

``````Input: amount = [5,4,4]
Output: 7
Explanation: One way to fill up the cups is:
Second 1: Fill up a cold cup, and a hot cup.
Second 2: Fill up a cold cup, and a warm cup.
Second 3: Fill up a cold cup, and a warm cup.
Second 4: Fill up a warm cup, and a hot cup.
Second 5: Fill up a cold cup, and a hot cup.
Second 6: Fill up a cold cup, and a warm cup.
Second 7: Fill up a hot cup.
``````

Example 3:

``````Input: amount = [5,0,0]
Output: 5
Explanation: Every second, we fill up a cold cup.
``````

Constraints:

``````amount.length == 3
0 <= amount[i] <= 100
``````

#### SOLUTION:

``````class Solution {
func fillCups(_ amount: [Int]) -> Int {
var amount = amount
var result = 0
while amount.reduce(0, +) != 0 {
amount = amount.sorted()
if amount[1] != 0 {
amount[1] -= 1
}
if amount[2] != 0 {
amount[2] -= 1
}
result += 1
}
return result
}
}
``````