How to Solve Minimum Number of Vertices to Reach All Nodes Problem
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Minimum Number of Vertices to Reach All Nodes
Given a directed acyclic graph, with n vertices numbered from 0 to n-1, and an array edges where edges[i] = [fromi, toi] represents a directed edge from node fromi to node toi. Find the smallest set o...
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Understanding the Minimum Number of Vertices to Reach All Nodes Problem
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Problem Statement
Given a directed acyclic graph, with n vertices numbered from 0 to n-1, and an array edges where edges[i] = [fromi, toi] represents a directed edge from node fromi to node toi. Find the smallest set of vertices from which all nodes in the graph are reachable. It's guaranteed that a unique solution exists. Notice that you can return the vertices in any order.
Minimum Number of Vertices to Reach All Nodes
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Examples
n = 6, edges = [[0,1],[0,2],[2,5],[3,4],[4,2]][0,3]It's not possible to reach all the nodes from a single vertex. From 0 we can reach [0,1,2,5]. From 3 we can reach [3,4,2,5]. So we output [0,3].
n = 5, edges = [[0,1],[2,1],[3,1],[1,4],[2,4]][0,2,3]Notice that vertices 0, 3 and 2 are not reachable from any other node, so we must include them. Also any of these vertices can reach nodes 1 and 4.
Constraints
2 <= n <= 10^51 <= edges.length <= min(10^5, n * (n - 1) / 2)edges[i].length == 20 <= fromi, toi < nAll pairs (fromi, toi) are distinct.How Interview Coder Helps with Leetcode Problems
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