結果
問題 | No.416 旅行会社 |
ユーザー |
|
提出日時 | 2024-09-08 04:12:48 |
言語 | Go (1.23.4) |
結果 |
AC
|
実行時間 | 426 ms / 4,000 ms |
コード長 | 3,097 bytes |
コンパイル時間 | 15,971 ms |
コンパイル使用メモリ | 222,612 KB |
実行使用メモリ | 16,208 KB |
最終ジャッジ日時 | 2024-09-08 04:13:11 |
合計ジャッジ時間 | 22,006 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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ファイルパターン | 結果 |
---|---|
other | AC * 21 |
ソースコード
// No.416 旅行会社 (启发式合并+反向并查集删边)// https://yukicoder.me/problems/no/416// 给定一个无向图.// q次断开两条边.// 对每个点,求第几次删边操作后,无法从该点到达0号点.// 如果一直可以到达0号点, 输出-1.package mainimport ("bufio""fmt""os")func main() {in := bufio.NewReader(os.Stdin)out := bufio.NewWriter(os.Stdout)defer out.Flush()var n, m, q int32fmt.Fscan(in, &n, &m, &q)edges := make([][2]int32, 0, m)for i := int32(0); i < m; i++ {var u, v int32fmt.Fscan(in, &u, &v)edges = append(edges, [2]int32{u - 1, v - 1})}queries := make([][2]int32, 0, q)for i := int32(0); i < q; i++ {var u, v int32fmt.Fscan(in, &u, &v)queries = append(queries, [2]int32{u - 1, v - 1})}res := make([]int32, n)uf := NewUnionFindArraySimple32(n)groups := make([][]int32, n)for i := int32(0); i < n; i++ {groups[i] = []int32{i}}unionAt := func(time int32, a, b int32) {ra, rb := uf.Find(a), uf.Find(b)if ra == rb {return}r0 := uf.Find(0)// 连接后,原来与0不连通的点,现在连通了,说明删除的这条边是关键的.if r0 == ra || r0 == rb {other := r0 ^ ra ^ rbfor _, v := range groups[other] {res[v] = time}}uf.Union(ra, rb, func(big, small int32) {for _, v := range groups[small] {groups[big] = append(groups[big], v)}groups[small] = nil})}// set(edges) - set(queries)keptEdges := func() map[[2]int32]struct{} {res, removed := make(map[[2]int32]struct{}), make(map[[2]int32]struct{}, q)for _, e := range queries {a, b := e[0], e[1]if a > b {a, b = b, a}removed[[2]int32{a, b}] = struct{}{}}for _, e := range edges {a, b := e[0], e[1]if a > b {a, b = b, a}if _, has := removed[[2]int32{a, b}]; !has {res[[2]int32{a, b}] = struct{}{}}}return res}()for e := range keptEdges {unionAt(-1, e[0], e[1])}for qi := q - 1; qi >= 0; qi-- {unionAt(qi+1, queries[qi][0], queries[qi][1])}for _, v := range res[1:] {fmt.Fprintln(out, v)}}type UnionFindArraySimple32 struct {Part int32n int32data []int32}func NewUnionFindArraySimple32(n int32) *UnionFindArraySimple32 {data := make([]int32, n)for i := int32(0); i < n; i++ {data[i] = -1}return &UnionFindArraySimple32{Part: n, n: n, data: data}}func (u *UnionFindArraySimple32) Union(key1, key2 int32, beforeMerge func(big, small int32)) bool {root1, root2 := u.Find(key1), u.Find(key2)if root1 == root2 {return false}if u.data[root1] > u.data[root2] {root1, root2 = root2, root1}if beforeMerge != nil {beforeMerge(root1, root2)}u.data[root1] += u.data[root2]u.data[root2] = root1u.Part--return true}func (u *UnionFindArraySimple32) Find(key int32) int32 {root := keyfor u.data[root] >= 0 {root = u.data[root]}for key != root {key, u.data[key] = u.data[key], root}return root}func (u *UnionFindArraySimple32) GetSize(key int32) int32 {return -u.data[u.Find(key)]}