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Solution.java
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class UnionFind {
private final int[] p;
private final int[] size;
public UnionFind(int n) {
p = new int[n];
size = new int[n];
for (int i = 0; i < n; ++i) {
p[i] = i;
size[i] = 1;
}
}
public int find(int x) {
if (p[x] != x) {
p[x] = find(p[x]);
}
return p[x];
}
public boolean union(int a, int b) {
int pa = find(a), pb = find(b);
if (pa == pb) {
return false;
}
if (size[pa] > size[pb]) {
p[pb] = pa;
size[pa] += size[pb];
} else {
p[pa] = pb;
size[pb] += size[pa];
}
return true;
}
public int size(int root) {
return size[root];
}
}
class Solution {
public int minMalwareSpread(int[][] graph, int[] initial) {
int n = graph.length;
boolean[] s = new boolean[n];
for (int i : initial) {
s[i] = true;
}
UnionFind uf = new UnionFind(n);
for (int i = 0; i < n; ++i) {
if (!s[i]) {
for (int j = i + 1; j < n; ++j) {
if (graph[i][j] == 1 && !s[j]) {
uf.union(i, j);
}
}
}
}
Set<Integer>[] g = new Set[n];
Arrays.setAll(g, k -> new HashSet<>());
int[] cnt = new int[n];
for (int i : initial) {
for (int j = 0; j < n; ++j) {
if (!s[j] && graph[i][j] == 1) {
g[i].add(uf.find(j));
}
}
for (int root : g[i]) {
++cnt[root];
}
}
int ans = 0, mx = -1;
for (int i : initial) {
int t = 0;
for (int root : g[i]) {
if (cnt[root] == 1) {
t += uf.size(root);
}
}
if (t > mx || (t == mx && i < ans)) {
ans = i;
mx = t;
}
}
return ans;
}
}