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leetcode-problemset/算法题/network-delay-time.html
2022-03-27 18:35:17 +08:00

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<p>You are given a network of <code>n</code> nodes, labeled from <code>1</code> to <code>n</code>. You are also given <code>times</code>, a list of travel times as directed edges <code>times[i] = (u<sub>i</sub>, v<sub>i</sub>, w<sub>i</sub>)</code>, where <code>u<sub>i</sub></code> is the source node, <code>v<sub>i</sub></code> is the target node, and <code>w<sub>i</sub></code> is the time it takes for a signal to travel from source to target.</p>
<p>We will send a signal from a given node <code>k</code>. Return the time it takes for all the <code>n</code> nodes to receive the signal. If it is impossible for all the <code>n</code> nodes to receive the signal, return <code>-1</code>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2019/05/23/931_example_1.png" style="width: 217px; height: 239px;" />
<pre>
<strong>Input:</strong> times = [[2,1,1],[2,3,1],[3,4,1]], n = 4, k = 2
<strong>Output:</strong> 2
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> times = [[1,2,1]], n = 2, k = 1
<strong>Output:</strong> 1
</pre>
<p><strong>Example 3:</strong></p>
<pre>
<strong>Input:</strong> times = [[1,2,1]], n = 2, k = 2
<strong>Output:</strong> -1
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= k &lt;= n &lt;= 100</code></li>
<li><code>1 &lt;= times.length &lt;= 6000</code></li>
<li><code>times[i].length == 3</code></li>
<li><code>1 &lt;= u<sub>i</sub>, v<sub>i</sub> &lt;= n</code></li>
<li><code>u<sub>i</sub> != v<sub>i</sub></code></li>
<li><code>0 &lt;= w<sub>i</sub> &lt;= 100</code></li>
<li>All the pairs <code>(u<sub>i</sub>, v<sub>i</sub>)</code> are <strong>unique</strong>. (i.e., no multiple edges.)</li>
</ul>