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| 1 | +<h2><a href="https://leetcode.com/problems/maximum-performance-of-a-team/">1383. Maximum Performance of a Team</a></h2><h3>Hard</h3><hr><div><p>You are given two integers <code>n</code> and <code>k</code> and two integer arrays <code>speed</code> and <code>efficiency</code> both of length <code>n</code>. There are <code>n</code> engineers numbered from <code>1</code> to <code>n</code>. <code>speed[i]</code> and <code>efficiency[i]</code> represent the speed and efficiency of the <code>i<sup>th</sup></code> engineer respectively.</p> |
| 2 | + |
| 3 | +<p>Choose <strong>at most</strong> <code>k</code> different engineers out of the <code>n</code> engineers to form a team with the maximum <strong>performance</strong>.</p> |
| 4 | + |
| 5 | +<p>The performance of a team is the sum of their engineers' speeds multiplied by the minimum efficiency among their engineers.</p> |
| 6 | + |
| 7 | +<p>Return <em>the maximum performance of this team</em>. Since the answer can be a huge number, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p> |
| 8 | + |
| 9 | +<p> </p> |
| 10 | +<p><strong>Example 1:</strong></p> |
| 11 | + |
| 12 | +<pre><strong>Input:</strong> n = 6, speed = [2,10,3,1,5,8], efficiency = [5,4,3,9,7,2], k = 2 |
| 13 | +<strong>Output:</strong> 60 |
| 14 | +<strong>Explanation:</strong> |
| 15 | +We have the maximum performance of the team by selecting engineer 2 (with speed=10 and efficiency=4) and engineer 5 (with speed=5 and efficiency=7). That is, performance = (10 + 5) * min(4, 7) = 60. |
| 16 | +</pre> |
| 17 | + |
| 18 | +<p><strong>Example 2:</strong></p> |
| 19 | + |
| 20 | +<pre><strong>Input:</strong> n = 6, speed = [2,10,3,1,5,8], efficiency = [5,4,3,9,7,2], k = 3 |
| 21 | +<strong>Output:</strong> 68 |
| 22 | +<strong>Explanation: |
| 23 | +</strong>This is the same example as the first but k = 3. We can select engineer 1, engineer 2 and engineer 5 to get the maximum performance of the team. That is, performance = (2 + 10 + 5) * min(5, 4, 7) = 68. |
| 24 | +</pre> |
| 25 | + |
| 26 | +<p><strong>Example 3:</strong></p> |
| 27 | + |
| 28 | +<pre><strong>Input:</strong> n = 6, speed = [2,10,3,1,5,8], efficiency = [5,4,3,9,7,2], k = 4 |
| 29 | +<strong>Output:</strong> 72 |
| 30 | +</pre> |
| 31 | + |
| 32 | +<p> </p> |
| 33 | +<p><strong>Constraints:</strong></p> |
| 34 | + |
| 35 | +<ul> |
| 36 | + <li><code>1 <= k <= n <= 10<sup>5</sup></code></li> |
| 37 | + <li><code>speed.length == n</code></li> |
| 38 | + <li><code>efficiency.length == n</code></li> |
| 39 | + <li><code>1 <= speed[i] <= 10<sup>5</sup></code></li> |
| 40 | + <li><code>1 <= efficiency[i] <= 10<sup>8</sup></code></li> |
| 41 | +</ul> |
| 42 | +</div> |
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