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package g0901_1000.s0924_minimize_malware_spread;

// #Hard #Array #Depth_First_Search #Breadth_First_Search #Matrix #Union_Find

import java.util.HashMap;
import java.util.HashSet;

public class Solution {
    private int[][] par;

    public int minMalwareSpread(int[][] graph, int[] initial) {
        int n = graph.length;
        par = new int[n][2];
        for (int i = 0; i < par.length; i++) {
            par[i][0] = i;
            par[i][1] = 1;
        }
        for (int i = 0; i < n; i++) {
            for (int j = i + 1; j < n; j++) {
                if (graph[i][j] == 1) {
                    int li = find(i);
                    int lj = find(j);
                    if (li != lj) {
                        par[li][0] = lj;
                        par[lj][1] += par[li][1];
                    }
                }
            }
        }
        HashMap> map = new HashMap<>();
        for (int val : initial) {
            int lv = find(val);
            if (!map.containsKey(lv)) {
                map.put(lv, new HashSet<>());
            }
            map.get(lv).add(val);
        }
        int ans = -1;
        int max = Integer.MIN_VALUE;
        for (int val : initial) {
            int lv = find(val);
            if (map.get(lv).size() == 1) {
                if (par[lv][1] > max) {
                    max = par[lv][1];
                    ans = val;
                } else if (par[lv][1] == max && val < ans) {
                    ans = val;
                }
            } else {
                if (max < 0) {
                    max = 0;
                    ans = val;
                } else if (max == 0 && val < ans) {
                    ans = val;
                }
            }
        }
        return ans;
    }

    private int find(int x) {
        if (par[x][0] == x) {
            return x;
        }
        return find(par[x][0]);
    }
}




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