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43 lines
2.3 KiB
HTML
43 lines
2.3 KiB
HTML
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<p>There is a <strong>directed</strong> graph consisting of <code>n</code> nodes numbered from <code>0</code> to <code>n - 1</code> and <code>n</code> directed edges.</p>
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<p>You are given a <strong>0-indexed</strong> array <code>edges</code> where <code>edges[i]</code> indicates that there is an edge from node <code>i</code> to node <code>edges[i]</code>.</p>
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<p>Consider the following process on the graph:</p>
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<ul>
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<li>You start from a node <code>x</code> and keep visiting other nodes through edges until you reach a node that you have already visited before on this <strong>same</strong> process.</li>
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</ul>
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<p>Return <em>an array </em><code>answer</code><em> where </em><code>answer[i]</code><em> is the number of <strong>different</strong> nodes that you will visit if you perform the process starting from node </em><code>i</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2023/08/31/graaphdrawio-1.png" />
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<pre>
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<strong>Input:</strong> edges = [1,2,0,0]
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<strong>Output:</strong> [3,3,3,4]
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<strong>Explanation:</strong> We perform the process starting from each node in the following way:
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- Starting from node 0, we visit the nodes 0 -> 1 -> 2 -> 0. The number of different nodes we visit is 3.
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- Starting from node 1, we visit the nodes 1 -> 2 -> 0 -> 1. The number of different nodes we visit is 3.
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- Starting from node 2, we visit the nodes 2 -> 0 -> 1 -> 2. The number of different nodes we visit is 3.
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- Starting from node 3, we visit the nodes 3 -> 0 -> 1 -> 2 -> 0. The number of different nodes we visit is 4.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2023/08/31/graaph2drawio.png" style="width: 191px; height: 251px;" />
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<pre>
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<strong>Input:</strong> edges = [1,2,3,4,0]
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<strong>Output:</strong> [5,5,5,5,5]
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<strong>Explanation:</strong> Starting from any node we can visit every node in the graph in the process.
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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>n == edges.length</code></li>
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<li><code>2 <= n <= 10<sup>5</sup></code></li>
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<li><code>0 <= edges[i] <= n - 1</code></li>
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<li><code>edges[i] != i</code></li>
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</ul>
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