package main import ( "bufio" "fmt" "os" ) func main() { // fmt.Println(BracketTree("(())()")) // https://yukicoder.me/problems/no/1778 // 给定一个有效的括号序列,每次可以删除一段匹配的括号 // 给定q个查询,每个查询形如 [start1,start2] // 求包含这两段括号的区间中最靠内部的一段区间 in := bufio.NewReader(os.Stdin) out := bufio.NewWriter(os.Stdout) defer out.Flush() var n, q int fmt.Fscan(in, &n, &q) var s string fmt.Fscan(in, &s) tree, leftRight := BracketTree(s) idToRoot := make([]int, n) // 每个起点/终点位置对应的树节点 [0, n) for i := 1; i < len(leftRight); i++ { left, right := leftRight[i][0], leftRight[i][1] idToRoot[left] = i idToRoot[right] = i } lca := NewLCA((n / 2) + 1) for i := 0; i < len(tree); i++ { for _, j := range tree[i] { lca.AddEdge(i, j) } } lca.Build(0) for i := 0; i < q; i++ { var start, end int // 1<=start dfn top := make([]int, n) // 所处轻/重链的顶点(深度最小),轻链的顶点为自身 depth := make([]int, n) // 深度 parent := make([]int, n) // 父结点 heavySon := make([]int, n) // 重儿子 return &LCAHLD{ Tree: tree, dfn: dfn, top: top, Depth: depth, Parent: parent, heavySon: heavySon, } } // 添加无向边 u-v. func (hld *LCAHLD) AddEdge(u, v int) { hld.Tree[u] = append(hld.Tree[u], v) hld.Tree[v] = append(hld.Tree[v], u) } func (hld *LCAHLD) Build(root int) { hld.build(root, -1, 0) hld.markTop(root, root) } func (hld *LCAHLD) LCA(u, v int) int { for { if hld.dfn[u] > hld.dfn[v] { u, v = v, u } if hld.top[u] == hld.top[v] { return u } v = hld.Parent[hld.top[v]] } } func (hld *LCAHLD) Dist(u, v int) int { return hld.Depth[u] + hld.Depth[v] - 2*hld.Depth[hld.LCA(u, v)] } func (hld *LCAHLD) build(cur, pre, dep int) int { subSize, heavySize, heavySon := 1, 0, -1 for _, next := range hld.Tree[cur] { if next != pre { nextSize := hld.build(next, cur, dep+1) subSize += nextSize if nextSize > heavySize { heavySize, heavySon = nextSize, next } } } hld.Depth[cur] = dep hld.heavySon[cur] = heavySon hld.Parent[cur] = pre return subSize } func (hld *LCAHLD) markTop(cur, top int) { hld.top[cur] = top hld.dfn[cur] = hld.dfnId hld.dfnId++ if hld.heavySon[cur] != -1 { hld.markTop(hld.heavySon[cur], top) for _, next := range hld.Tree[cur] { if next != hld.heavySon[cur] && next != hld.Parent[cur] { hld.markTop(next, next) } } } } func max(a, b int) int { if a > b { return a } return b }