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Solution.cpp
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class UnionFind {
public:
UnionFind(int n) {
p = vector<int>(n);
size = vector<int>(n, 1);
iota(p.begin(), p.end(), 0);
}
bool unite(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;
}
int find(int x) {
if (p[x] != x) {
p[x] = find(p[x]);
}
return p[x];
}
int getSize(int root) {
return size[root];
}
private:
vector<int> p, size;
};
class Solution {
public:
int minMalwareSpread(vector<vector<int>>& graph, vector<int>& initial) {
int n = graph.size();
bool s[n];
memset(s, false, sizeof(s));
for (int i : initial) {
s[i] = true;
}
UnionFind uf(n);
for (int i = 0; i < n; ++i) {
if (!s[i]) {
for (int j = i + 1; j < n; ++j) {
if (graph[i][j] && !s[j]) {
uf.unite(i, j);
}
}
}
}
unordered_set<int> g[n];
int cnt[n];
memset(cnt, 0, sizeof(cnt));
for (int i : initial) {
for (int j = 0; j < n; ++j) {
if (!s[j] && graph[i][j]) {
g[i].insert(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.getSize(root);
}
}
if (t > mx || (t == mx && i < ans)) {
ans = i;
mx = t;
}
}
return ans;
}
};