{ "data": { "question": { "questionId": "2438", "questionFrontendId": "2359", "categoryTitle": "Algorithms", "boundTopicId": 1706756, "title": "Find Closest Node to Given Two Nodes", "titleSlug": "find-closest-node-to-given-two-nodes", "content": "
You are given a directed graph of n
nodes numbered from 0
to n - 1
, where each node has at most one outgoing edge.
The graph is represented with a given 0-indexed array edges
of size n
, indicating that there is a directed edge from node i
to node edges[i]
. If there is no outgoing edge from i
, then edges[i] == -1
.
You are also given two integers node1
and node2
.
Return the index of the node that can be reached from both node1
and node2
, such that the maximum between the distance from node1
to that node, and from node2
to that node is minimized. If there are multiple answers, return the node with the smallest index, and if no possible answer exists, return -1
.
Note that edges
may contain cycles.
\n
Example 1:
\n\n\nInput: edges = [2,2,3,-1], node1 = 0, node2 = 1\nOutput: 2\nExplanation: The distance from node 0 to node 2 is 1, and the distance from node 1 to node 2 is 1.\nThe maximum of those two distances is 1. It can be proven that we cannot get a node with a smaller maximum distance than 1, so we return node 2.\n\n\n
Example 2:
\n\n\nInput: edges = [1,2,-1], node1 = 0, node2 = 2\nOutput: 2\nExplanation: The distance from node 0 to node 2 is 2, and the distance from node 2 to itself is 0.\nThe maximum of those two distances is 2. It can be proven that we cannot get a node with a smaller maximum distance than 2, so we return node 2.\n\n\n
\n
Constraints:
\n\nn == edges.length
2 <= n <= 105
-1 <= edges[i] < n
edges[i] != i
0 <= node1, node2 < n
给你一个 n
个节点的 有向图 ,节点编号为 0
到 n - 1
,每个节点 至多 有一条出边。
有向图用大小为 n
下标从 0 开始的数组 edges
表示,表示节点 i
有一条有向边指向 edges[i]
。如果节点 i
没有出边,那么 edges[i] == -1
。
同时给你两个节点 node1
和 node2
。
请你返回一个从 node1
和 node2
都能到达节点的编号,使节点 node1
和节点 node2
到这个节点的距离 较大值最小化。如果有多个答案,请返回 最小 的节点编号。如果答案不存在,返回 -1
。
注意 edges
可能包含环。
\n\n
示例 1:
\n\n\n\n输入:edges = [2,2,3,-1], node1 = 0, node2 = 1\n输出:2\n解释:从节点 0 到节点 2 的距离为 1 ,从节点 1 到节点 2 的距离为 1 。\n两个距离的较大值为 1 。我们无法得到一个比 1 更小的较大值,所以我们返回节点 2 。\n\n\n
示例 2:
\n\n\n\n输入:edges = [1,2,-1], node1 = 0, node2 = 2\n输出:2\n解释:节点 0 到节点 2 的距离为 2 ,节点 2 到它自己的距离为 0 。\n两个距离的较大值为 2 。我们无法得到一个比 2 更小的较大值,所以我们返回节点 2 。\n\n\n
\n\n
提示:
\n\nn == edges.length
2 <= n <= 105
-1 <= edges[i] < n
edges[i] != i
0 <= node1, node2 < n
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