How to Solve Properties Graph Problem
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Properties Graph
You are given a 2D integer array properties having dimensions n x m and an integer k. Define a function intersect(a, b) that returns the number of distinct integers common to both arrays a and b. Cons...
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Understanding the Properties Graph Problem
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Problem Statement
You are given a 2D integer array properties having dimensions n x m and an integer k. Define a function intersect(a, b) that returns the number of distinct integers common to both arrays a and b. Construct an undirected graph where each index i corresponds to properties[i]. There is an edge between node i and node j if and only if intersect(properties[i], properties[j]) >= k, where i and j are in the range [0, n - 1] and i != j. Return the number of connected components in the resulting graph.
Properties Graph
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Examples
properties = [[1,2],[1,1],[3,4],[4,5],[5,6],[7,7]], k = 13The graph formed has 3 connected components:
properties = [[1,2,3],[2,3,4],[4,3,5]], k = 21The graph formed has 1 connected component:
properties = [[1,1],[1,1]], k = 22intersect(properties[0], properties[1]) = 1, which is less than k. This means there is no edge between properties[0] and properties[1] in the graph.
Constraints
1 <= n == properties.length <= 1001 <= m == properties[i].length <= 1001 <= properties[i][j] <= 1001 <= k <= mHow Interview Coder Helps with Leetcode Problems
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