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Solution.go
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type unionFind struct {
p, size []int
}
func newUnionFind(n int) *unionFind {
p := make([]int, n)
size := make([]int, n)
for i := range p {
p[i] = i
size[i] = 1
}
return &unionFind{p, size}
}
func (uf *unionFind) find(x int) int {
if uf.p[x] != x {
uf.p[x] = uf.find(uf.p[x])
}
return uf.p[x]
}
func (uf *unionFind) union(a, b int) bool {
pa, pb := uf.find(a), uf.find(b)
if pa == pb {
return false
}
if uf.size[pa] > uf.size[pb] {
uf.p[pb] = pa
uf.size[pa] += uf.size[pb]
} else {
uf.p[pa] = pb
uf.size[pb] += uf.size[pa]
}
return true
}
func (uf *unionFind) getSize(root int) int {
return uf.size[root]
}
func minMalwareSpread(graph [][]int, initial []int) int {
n := len(graph)
s := make([]bool, n)
for _, i := range initial {
s[i] = true
}
uf := newUnionFind(n)
for i := range graph {
if !s[i] {
for j := i + 1; j < n; j++ {
if graph[i][j] == 1 && !s[j] {
uf.union(i, j)
}
}
}
}
g := make([]map[int]bool, n)
for _, i := range initial {
g[i] = map[int]bool{}
}
cnt := make([]int, n)
for _, i := range initial {
for j := 0; j < n; j++ {
if !s[j] && graph[i][j] == 1 {
g[i][uf.find(j)] = true
}
}
for root := range g[i] {
cnt[root]++
}
}
ans, mx := 0, -1
for _, i := range initial {
t := 0
for root := range g[i] {
if cnt[root] == 1 {
t += uf.getSize(root)
}
}
if t > mx || t == mx && i < ans {
ans, mx = i, t
}
}
return ans
}