{ "data": { "question": { "questionId": "2175", "questionFrontendId": "2049", "boundTopicId": null, "title": "Count Nodes With the Highest Score", "titleSlug": "count-nodes-with-the-highest-score", "content": "

There is a binary tree rooted at 0 consisting of n nodes. The nodes are labeled from 0 to n - 1. You are given a 0-indexed integer array parents representing the tree, where parents[i] is the parent of node i. Since node 0 is the root, parents[0] == -1.

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Each node has a score. To find the score of a node, consider if the node and the edges connected to it were removed. The tree would become one or more non-empty subtrees. The size of a subtree is the number of the nodes in it. The score of the node is the product of the sizes of all those subtrees.

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Return the number of nodes that have the highest score.

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Example 1:

\n\"example-1\"\n
\nInput: parents = [-1,2,0,2,0]\nOutput: 3\nExplanation:\n- The score of node 0 is: 3 * 1 = 3\n- The score of node 1 is: 4 = 4\n- The score of node 2 is: 1 * 1 * 2 = 2\n- The score of node 3 is: 4 = 4\n- The score of node 4 is: 4 = 4\nThe highest score is 4, and three nodes (node 1, node 3, and node 4) have the highest score.\n
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Example 2:

\n\"example-2\"\n
\nInput: parents = [-1,2,0]\nOutput: 2\nExplanation:\n- The score of node 0 is: 2 = 2\n- The score of node 1 is: 2 = 2\n- The score of node 2 is: 1 * 1 = 1\nThe highest score is 2, and two nodes (node 0 and node 1) have the highest score.\n
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Constraints:

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