#3493

Properties Graph

medium · 48.6% accepted · 92 likes · top 35%

array · hash table · depth-first search · breadth-first search · union-find · graph theory

Description

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.

Solution