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53 lines
3.7 KiB
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53 lines
3.7 KiB
HTML
<p>You are given two <strong>0-indexed</strong> integer arrays <code>servers</code> and <code>tasks</code> of lengths <code>n</code> and <code>m</code> respectively. <code>servers[i]</code> is the <strong>weight</strong> of the <code>i<sup>th</sup></code> server, and <code>tasks[j]</code> is the <strong>time needed</strong> to process the <code>j<sup>th</sup></code> task <strong>in seconds</strong>.</p>
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<p>Tasks are assigned to the servers using a <strong>task queue</strong>. Initially, all servers are free, and the queue is <strong>empty</strong>.</p>
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<p>At second <code>j</code>, the <code>j<sup>th</sup></code> task is <strong>inserted</strong> into the queue (starting with the <code>0<sup>th</sup></code> task being inserted at second <code>0</code>). As long as there are free servers and the queue is not empty, the task in the front of the queue will be assigned to a free server with the <strong>smallest weight</strong>, and in case of a tie, it is assigned to a free server with the <strong>smallest index</strong>.</p>
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<p>If there are no free servers and the queue is not empty, we wait until a server becomes free and immediately assign the next task. If multiple servers become free at the same time, then multiple tasks from the queue will be assigned <strong>in order of insertion</strong> following the weight and index priorities above.</p>
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<p>A server that is assigned task <code>j</code> at second <code>t</code> will be free again at second <code>t + tasks[j]</code>.</p>
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<p>Build an array <code>ans</code> of length <code>m</code>, where <code>ans[j]</code> is the <strong>index</strong> of the server the <code>j<sup>th</sup></code> task will be assigned to.</p>
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<p>Return <em>the array </em><code>ans</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> servers = [3,3,2], tasks = [1,2,3,2,1,2]
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<strong>Output:</strong> [2,2,0,2,1,2]
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<strong>Explanation: </strong>Events in chronological order go as follows:
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- At second 0, task 0 is added and processed using server 2 until second 1.
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- At second 1, server 2 becomes free. Task 1 is added and processed using server 2 until second 3.
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- At second 2, task 2 is added and processed using server 0 until second 5.
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- At second 3, server 2 becomes free. Task 3 is added and processed using server 2 until second 5.
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- At second 4, task 4 is added and processed using server 1 until second 5.
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- At second 5, all servers become free. Task 5 is added and processed using server 2 until second 7.</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> servers = [5,1,4,3,2], tasks = [2,1,2,4,5,2,1]
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<strong>Output:</strong> [1,4,1,4,1,3,2]
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<strong>Explanation: </strong>Events in chronological order go as follows:
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- At second 0, task 0 is added and processed using server 1 until second 2.
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- At second 1, task 1 is added and processed using server 4 until second 2.
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- At second 2, servers 1 and 4 become free. Task 2 is added and processed using server 1 until second 4.
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- At second 3, task 3 is added and processed using server 4 until second 7.
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- At second 4, server 1 becomes free. Task 4 is added and processed using server 1 until second 9.
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- At second 5, task 5 is added and processed using server 3 until second 7.
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- At second 6, task 6 is added and processed using server 2 until second 7.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>servers.length == n</code></li>
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<li><code>tasks.length == m</code></li>
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<li><code>1 <= n, m <= 2 * 10<sup>5</sup></code></li>
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<li><code>1 <= servers[i], tasks[j] <= 2 * 10<sup>5</sup></code></li>
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</ul>
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