minimum-amount-of-time-to-fill-cups

Minimum Amount of Time to Fill Cups

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fillCups

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

You are given a 0-indexed integer array <code>amount</code> of length <code>3</code> where <code>amount[0]</code>, <code>amount[1]</code>, and <code>amount[2]</code> 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.

&nbsp;
Example 1:

<pre>
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.
</pre>

Example 2:

<pre>
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.
</pre>

Example 3:

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

&nbsp;
Constraints:

<ul>
	<li><code>amount.length == 3</code></li>
	<li><code>0 &lt;= amount[i] &lt;= 100</code></li>
</ul>

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