2335. Minimum Amount of Time to Fill Cups ¶
Problem
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