2335 - Minimum Amount of Time to Fill Cups.

Easy

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