using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m, q) = (c[0], c[1], c[2]); var map = NArr(m); var query = NArr(q); var (idlist, ctree) = MergeCycle(n, map); var hld = new HeavyLightDecomposition(ctree, 0); var score = new PriorityQueue[ctree.Length]; var scpos = new Dictionary(); var seg = new AtCoder.Segtree(ctree.Length); var ans = new List(); foreach (var que in query) { if (que[0] == 1) { var segpos = hld.Id[idlist[que[1] - 1]]; scpos[que[2]] = segpos; if (score[segpos] == null) score[segpos] = new PriorityQueue(); score[segpos].Enqueue(que[2], -que[2]); if (que[2] == score[segpos].Peek()) seg[segpos] = que[2]; } else { var sid = idlist[que[1] - 1]; var tid = idlist[que[2] - 1]; var max = GetMax(hld, seg, sid, tid); if (max > 0) { ans.Add(max); var maxpos = scpos[max]; score[maxpos].Dequeue(); if (score[maxpos].Count > 0) seg[maxpos] = score[maxpos].Peek(); else seg[maxpos] = 0; } else ans.Add(-1); } } WriteLine(string.Join("\n", ans)); } static int GetMax(HeavyLightDecomposition hld, AtCoder.Segtree seg, int s, int t) { var scur = s; var tcur = t; var sid = hld.Id[scur]; var tid = hld.Id[tcur]; var max = 0; while (hld.Head[scur] != hld.Head[tcur]) { if (sid > tid) { max = Math.Max(max, seg.Prod(hld.Id[hld.Head[scur]], sid + 1)); scur = hld.Parent[hld.Head[scur]]; sid = hld.Id[scur]; } else { max = Math.Max(max, seg.Prod(hld.Id[hld.Head[tcur]], tid + 1)); tcur = hld.Parent[hld.Head[tcur]]; tid = hld.Id[tcur]; } } return Math.Max(max, seg.Prod(Math.Min(sid, tid), Math.Max(sid, tid) + 1)); } static (int[] idlist, List[] ctree) MergeCycle(int n, int[][] map) { var tree = new List[n]; for (var i = 0; i < n; ++i) tree[i] = new List(); foreach (var edge in map) { tree[edge[0] - 1].Add(edge[1] - 1); tree[edge[1] - 1].Add(edge[0] - 1); } var scc = new SCCGraph(n); var visited = new bool[n]; DFS(0, -1, tree, scc, visited); var conn = scc.SCC(); var idlist = new int[n]; for (var i = 0; i < conn.Length; ++i) { foreach (var ci in conn[i]) idlist[ci] = i; } var csets = new HashSet[conn.Length]; for (var i = 0; i < csets.Length; ++i) csets[i] = new HashSet(); for (var i = 0; i < n; ++i) foreach (var next in tree[i]) { if (idlist[i] != idlist[next]) csets[idlist[i]].Add(idlist[next]); } var ctree = new List[conn.Length]; for (var i = 0; i < ctree.Length; ++i) ctree[i] = [.. csets[i]]; return (idlist, ctree); } static void DFS(int cur, int prev, List[] tree, SCCGraph scc, bool[] visited) { visited[cur] = true; foreach (var next in tree[cur]) { if (prev == next) continue; scc.AddEdge(cur, next); if (!visited[next]) DFS(next, cur, tree, scc, visited); } } class SCCGraph { private int _n; private List<(int from, int to)> edges; public SCCGraph(int n) { _n = n; edges = new List<(int, int)>(); } public int NumVertices() { return _n; } public void AddEdge(int from, int to) { edges.Add((from, to )); } public (int, int[]) SCCIds() { var g = new CSR(_n, edges); var nowOrd = 0; var groupNum = 0; var visited = new List(_n); var low = new int[_n]; var ord = Enumerable.Repeat(-1, _n).ToArray(); var ids = new int[_n]; void DFS(int v) { low[v] = ord[v] = nowOrd++; visited.Add(v); for (var i = g.Start[v]; i < g.Start[v + 1]; ++i) { var to = g.EList[i]; if (ord[to] == -1) { DFS(to); low[v] = Math.Min(low[v], low[to]); } else low[v] = Math.Min(low[v], ord[to]); } if (low[v] == ord[v]) { while (true) { var u = visited.Last(); visited.RemoveAt(visited.Count - 1); ord[u] = _n; ids[u] = groupNum; if (u == v) break; } ++groupNum; } } for (var i = 0; i < _n; ++i) if (ord[i] == -1) DFS(i); for (var i = 0; i < ids.Length; ++i) ids[i] = groupNum - 1 - ids[i]; return (groupNum, ids); } public List[] SCC() { var (groupNum, list) = SCCIds(); var counts = new int[groupNum]; foreach (var x in list) ++counts[x]; var groups = new List[groupNum]; for (var i = 0; i < groups.Length; ++i) groups[i] = new List(counts[i]); for (var i = 0; i < _n; ++i) groups[list[i]].Add(i); return groups; } } // 有向辺のリスト class CSR { public int[] Start { get; private set; } public E[] EList { get; private set; } public CSR(int n, List<(int, E)> edges) { Start = new int[n + 1]; EList = new E[edges.Count]; foreach (var e in edges) ++Start[e.Item1 + 1]; for (var i = 1; i <= n; ++i) Start[i] += Start[i - 1]; var counter = (int[])Start.Clone(); foreach (var e in edges) { EList[counter[e.Item1]++] = e.Item2; } } } /// /// 木のHLD(重軽分解)を行う /// class HeavyLightDecomposition { // 訪問順に頂点の番号を記載 セグメント木などをこの順に格納すればHeavyPathについてのクエリに答えられる public int[] Vertex; // 頂点ごとに訪問番号を記載 頂点iがHeavyPath上で何番目にあるかは Id[i]-Id[Head[i]] で取得できる // Id,Head,CCount,Parentのインデックスは、作成時に与えられた番号であることに注意 public int[] Id; // HeavyPathのルートとなる頂点番号 public int[] Head; // 部分木のサイズ public int[] CCount; // 親頂点番号 public int[] Parent; public HeavyLightDecomposition(List[] tree, int root) { var n = tree.Length; Vertex = new int[n]; Id = new int[n]; Head = new int[n]; CCount = new int[n]; Parent = new int[n]; Parent[root] = -1; DFS1(-1, root, tree); var count = 0; DFS2(-1, root, tree, root, ref count); } void DFS1(int prev, int cur, List[] tree) { ++CCount[cur]; foreach (var next in tree[cur]) { if (prev == next) continue; Parent[next] = cur; DFS1(cur, next, tree); CCount[cur] += CCount[next]; } } void DFS2(int prev, int cur, List[] tree, int head, ref int count) { Vertex[count] = cur; Id[cur] = count; ++count; Head[cur] = head; var maxcc = 0; var maxcid = -1; foreach (var next in tree[cur]) { if (prev == next) continue; if (maxcc < CCount[next]) { maxcc = CCount[next]; maxcid = next; } } if (maxcid >= 0) DFS2(cur, maxcid, tree, head, ref count); foreach (var next in tree[cur]) { if (prev == next || maxcid == next) continue; DFS2(cur, next, tree, next, ref count); } } // HLD上での最小共通祖先を求める public int LCA(int uid, int vid) { while (Head[uid] != Head[vid]) { // u,vの所属するHeavy Pathが異なる場合、行きがけ順が後のほうをさかのぼる if (uid > vid) { uid = Parent[Head[uid]]; } else { vid = Parent[Head[vid]]; } } return Math.Min(uid, vid); } } struct SegOp : AtCoder.ISegtreeOperator { public int Identity => 0; public int Operate(int x, int y) { return Math.Max(x, y); } } }