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leetcode/problem/minimum-amount-of-time-to-fill-cups.html

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+<p>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 <strong>different</strong> types of water, or <code>1</code> cup of any type of water.</p>
+
+<p>You are given a <strong>0-indexed</strong> 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 <em>the <strong>minimum</strong> number of seconds needed to fill up all the cups</em>.</p>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+
+<pre>
+<strong>Input:</strong> amount = [1,4,2]
+<strong>Output:</strong> 4
+<strong>Explanation:</strong> 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>
+
+<p><strong>Example 2:</strong></p>
+
+<pre>
+<strong>Input:</strong> amount = [5,4,4]
+<strong>Output:</strong> 7
+<strong>Explanation:</strong> 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>
+
+<p><strong>Example 3:</strong></p>
+
+<pre>
+<strong>Input:</strong> amount = [5,0,0]
+<strong>Output:</strong> 5
+<strong>Explanation:</strong> Every second, we fill up a cold cup.
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>amount.length == 3</code></li>
+	<li><code>0 &lt;= amount[i] &lt;= 100</code></li>
+</ul>