using System; using System.Collections.Generic; using System.Linq; using System.IO; using System.Runtime.CompilerServices; using System.Text; using System.Diagnostics; using System.Numerics; using static System.Console; using static System.Convert; using static System.Math; using static Template; using Pi = Pair; class Solver { public void Solve(Scanner sc) { int N, M, Q; sc.Make(out N, out M, out Q); var te = new TwoEdgeConnectedComponents(N, M); for (int i = 0; i < M; i++) { int a, b; sc.Make(out a, out b);a--;b--; te.AddEdge(a, b); } var tec = te.Execute(); var hl = new HLDecomposition(tec.Count); for (int i = 0; i < M; i++) { if (!te.bridge[i]) continue; int u = te[te.edge[i].fr], v = te[te.edge[i].to]; hl.AddEdge(u, v); } hl.Build(); var seg = new SegmentTree<(int val, int idx)>(tec.Count, (-1, -1), (a, b) => a.val > b.val ? a : b); var pqs = Create(tec.Count, () => { var n = new PriorityQueue((a, b) => b - a); n.Push(-1); return n; }); while (Q-- > 0) { var q = sc.Next(); if (q == 1) { int u, w; sc.Make(out u, out w); u--; u = te[u]; pqs[u].Push(w); if (seg.Query(hl[u],hl[u]+1).val < w) { seg.Update(hl[u], (w, u)); } } else { int s, t; sc.Make(out s, out t); s--; t--; s = te[s]; t = te[t]; var max = (val: -1, idx: -1); hl.For_each(s, t, (a, b) => { var k = seg.Query(a, b); if (max.val < k.val) max = k; }); Console.WriteLine(max.val); if (max.idx != -1 && pqs[max.idx].Top != -1) { pqs[max.idx].Pop(); seg.Update(hl[max.idx], (pqs[max.idx].Top, max.idx)); } } } } } public class SegmentTree { protected readonly T[] dat; protected readonly int sz; protected readonly Func merge; protected readonly Func update; protected readonly T id; private bool finished = true; [MethodImpl(MethodImplOptions.AggressiveInlining)] protected int Left(int i) => i << 1; [MethodImpl(MethodImplOptions.AggressiveInlining)] protected int Right(int i) => (i << 1) | 1; public T this[int i] { get { return dat[i + sz]; } set { finished = false; dat[i + sz] = value; } } public SegmentTree(int N, T id, Func merge, Func update = null) { this.sz = 1; while (sz < N) sz <<= 1; this.id = id; this.merge = merge; this.update = update ?? ((T val1, T val2) => val2); dat = Create(sz << 1, () => id); } public void Update(int i, T value) { i += sz; dat[i] = update(dat[i], value); while (i > 1) { i >>= 1; dat[i] = merge(dat[Left(i)], dat[Right(i)]); } } public void Build() { for (int i = sz - 1; i > 0; i--) dat[i] = merge(dat[Left(i)], dat[Right(i)]); finished = true; } public virtual T Query(int left, int right) { if (!finished) throw new Exception("You need to Execute \"Build()\""); T l = id, r = id; for (left += sz, right += sz; left < right; left >>= 1, right >>= 1) { if ((left & 1) == 1) l = merge(l, dat[left++]); if ((right & 1) == 1) r = merge(dat[--right], r); } return merge(l, r); } public int Find(int st, Func check) { var x = id; return Find(st, check, ref x, 1, 0, sz); } private int Find(int st, Func check, ref T x, int k, int l, int r) { if (l + 1 == r) { x = merge(x, dat[k]); return check(x) ? k - sz : -1; } var m = (l + r) >> 1; if (m <= st) return Find(st, check, ref x, Right(k), m, r); if (st <= l && !check(merge(x, dat[k]))) { x = merge(x, dat[k]); return -1; } var xl = Find(st, check, ref x, Left(k), l, m); if (xl >= 0) return xl; return Find(st, check, ref x, Right(k), m, r); } } class HLDecomposition { List[] G; public int this[int i] => vertex[i]; private int[] vertex, head, subtreeSize, par, dep, rev, right; public HLDecomposition(int sz) { G = Create(sz, () => new List()); vertex = Create(sz, () => -1); head = new int[sz]; subtreeSize = new int[sz]; par = Create(sz, () => -1); dep = new int[sz]; rev = new int[sz]; right = new int[sz]; } public void AddEdge(int u, int v) { G[u].Add(v); G[v].Add(u); } public void Build(int root = 0) { int c = 0, pos = 0; head[root] = root; CalcSubtreeSize(root); Decomposition(root, ref pos); } void CalcSubtreeSize(int idx) { for (int i = 0; i < G[idx].Count; i++) if (G[idx][i] == par[idx]) { G[idx].swap(i, G[idx].Count - 1); break; } if (par[idx] != -1) G[idx].PopBack(); for (int i = 0; i < G[idx].Count; i++) { int to = G[idx][i]; par[to] = idx; dep[to] = dep[idx] + 1; CalcSubtreeSize(to); subtreeSize[idx] += subtreeSize[to]; if (subtreeSize[to] > subtreeSize[G[idx][0]]) G[idx].swap(i, 0); } subtreeSize[idx]++; } void Decomposition(int idx, ref int pos) { vertex[idx] = pos++; rev[vertex[idx]] = idx; for (int i = 0; i < G[idx].Count; i++) { int to = G[idx][i]; head[to] = (i == 0 ? head[idx] : to); Decomposition(to, ref pos); } right[idx] = pos; } public int LCA(int u, int v) { while (true) { if (vertex[u] > vertex[v]) swap(ref u, ref v); if (head[u] == head[v]) return u; v = par[head[v]]; } } public int Distance(int u, int v) => dep[u] + dep[v] - 2 * dep[LCA(u, v)]; public void For_each(int u, int v, Action f) { while (true) { if (vertex[u] > vertex[v]) swap(ref u, ref v); f(Max(vertex[head[v]], vertex[u]), vertex[v] + 1); if (head[u] != head[v]) v = par[head[v]]; else break; } } public void For_each_Edge(int u, int v, Action f) { while (true) { if (vertex[u] > vertex[v]) swap(ref u, ref v); if (head[u] != head[v]) { f(vertex[head[v]], vertex[v] + 1); v = par[head[v]]; } else { if (u != v) f(vertex[u] + 1, vertex[v] + 1); break; } } } public void SubtreeQuery(int v, Action f) => f(vertex[v], right[v]); } class TwoEdgeConnectedComponents { private int N, M; public int GroupCount { get; private set; } int _idx; List[] g; public E[] edge; int[] group, imos, dep; public bool[] bridge, use, tree; List> elements; public int this[int i] { get { return group[i]; } } public TwoEdgeConnectedComponents(int N, int M) { this.N = N; this.M = M; g = Create(N, () => new List()); edge = new E[M]; } public void AddEdge(int a, int b) { g[a].Add(new E(-1, b, _idx)); g[b].Add(new E(-1, a, _idx)); edge[_idx] = new E(a, b, _idx); _idx++; } public List> Execute() { group = new int[N]; imos = new int[N]; dep = new int[N]; bridge = new bool[M]; tree = new bool[M]; use = new bool[N]; elements = new List>(); for (int j = 0; j < N; j++) { if (use[j]) continue; MakeDfsTree(j); } for (var i = 0; i < M; i++) if (!tree[i]) { if (dep[edge[i].fr] > dep[edge[i].to]) swap(ref edge[i].fr, ref edge[i].to); imos[edge[i].fr]--; imos[edge[i].to]++; } use = new bool[N]; for (int j = 0; j < N; j++) { if (use[j]) continue; FindBridge(j, -1); } use = new bool[N]; for (int i = 0; i < N; i++) { if (use[i]) continue; elements.Add(new List()); dfs(i); GroupCount++; } return elements; } void MakeDfsTree(int i) { use[i] = true; foreach (E e in g[i]) if (!use[e.to]) { tree[e.idx] = true; dep[e.to] = dep[i] + 1; MakeDfsTree(e.to); } } int FindBridge(int i, int p) { use[i] = true; int now = imos[i]; foreach (E e in g[i]) if (tree[e.idx] && e.to != p) { int r = FindBridge(e.to, i); if (r == 0) bridge[e.idx] = true; now += r; } return now; } void dfs(int i) { group[i] = GroupCount; elements[GroupCount].Add(i); use[i] = true; foreach (E e in g[i]) if (!use[e.to] && !bridge[e.idx]) { dfs(e.to); } } public struct E { public int fr, to, idx; public E(int f, int t, int i) { fr = f; to = t; idx = i; } } } public class PriorityQueue { private List data = new List(); private Comparison cmp; public int Count { get { return data.Count; } } public T Top { get { return data[0]; } } public PriorityQueue() { cmp = cmp ?? Comparer.Default.Compare; } public PriorityQueue(Comparison comparison) { cmp = comparison; } [MethodImpl(MethodImplOptions.AggressiveInlining)] private int Parent(int i) => (i - 1) >> 1; [MethodImpl(MethodImplOptions.AggressiveInlining)] private int Left(int i) => (i << 1) + 1; public T Push(T val) { int i = data.Count; data.Add(val); while (i > 0) { int p = Parent(i); if (cmp(data[p], val) <= 0) break; data[i] = data[p]; i = p; } data[i] = val; return val; } public T Pop() { var ret = data[0]; var p = 0; var x = data[data.Count - 1]; while (Left(p) < data.Count - 1) { var l = Left(p); if (l < data.Count - 2 && cmp(data[l + 1], data[l]) < 0) l++; if (cmp(data[l], x) >= 0) break; data[p] = data[l]; p = l; } data[p] = x; data.RemoveAt(data.Count - 1); return ret; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public bool Any() => data.Count > 0; } #region Template public static class Template { static void Main(string[] args) { Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); new Solver().Solve(new Scanner()); Console.Out.Flush(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static bool chmin(ref T a, T b) where T : IComparable { if (a.CompareTo(b) > 0) { a = b; return true; } return false; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static bool chmax(ref T a, T b) where T : IComparable { if (a.CompareTo(b) < 0) { a = b; return true; } return false; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void swap(ref T a, ref T b) { var t = b; b = a; a = t; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void swap(this IList A, int i, int j) { var t = A[i]; A[i] = A[j]; A[j] = t; } public static T[] Create(int n, Func f) { var rt = new T[n]; for (var i = 0; i < rt.Length; ++i) rt[i] = f(); return rt; } public static T[] Create(int n, Func f) { var rt = new T[n]; for (var i = 0; i < rt.Length; ++i) rt[i] = f(i); return rt; } public static IEnumerable Shuffle(this IEnumerable A) => A.OrderBy(v => Guid.NewGuid()); public static int CompareTo(this T[] A, T[] B, Comparison cmp = null) { cmp = cmp ?? Comparer.Default.Compare; for (var i = 0; i < Min(A.Length, B.Length); i++) { int c = cmp(A[i], B[i]); if (c > 0) return 1; else if (c < 0) return -1; } if (A.Length == B.Length) return 0; if (A.Length > B.Length) return 1; else return -1; } public static int MaxElement(this IList A, Comparison cmp = null) { cmp = cmp ?? Comparer.Default.Compare; T max = A[0]; int rt = 0; for (int i = 1; i < A.Count; i++) if (cmp(max, A[i]) < 0) { max = A[i]; rt = i; } return rt; } public static T PopBack(this List A) { var v = A[A.Count - 1]; A.RemoveAt(A.Count - 1); return v; } public static void Fail(T s) { Console.WriteLine(s); Console.Out.Close(); Environment.Exit(0); } } public class Scanner { public string Str => Console.ReadLine().Trim(); public int Int => int.Parse(Str); public long Long => long.Parse(Str); public double Double => double.Parse(Str); public int[] ArrInt => Str.Split(' ').Select(int.Parse).ToArray(); public long[] ArrLong => Str.Split(' ').Select(long.Parse).ToArray(); public char[][] Grid(int n) => Create(n, () => Str.ToCharArray()); public int[] ArrInt1D(int n) => Create(n, () => Int); public long[] ArrLong1D(int n) => Create(n, () => Long); public int[][] ArrInt2D(int n) => Create(n, () => ArrInt); public long[][] ArrLong2D(int n) => Create(n, () => ArrLong); private Queue q = new Queue(); [MethodImpl(MethodImplOptions.AggressiveInlining)] public T Next() { if (q.Count == 0) foreach (var item in Str.Split(' ')) q.Enqueue(item); return (T)Convert.ChangeType(q.Dequeue(), typeof(T)); } public void Make(out T1 v1) => v1 = Next(); public void Make(out T1 v1, out T2 v2) { v1 = Next(); v2 = Next(); } public void Make(out T1 v1, out T2 v2, out T3 v3) { Make(out v1, out v2); v3 = Next(); } public void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4) { Make(out v1, out v2, out v3); v4 = Next(); } public void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5) { Make(out v1, out v2, out v3, out v4); v5 = Next(); } public void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6) { Make(out v1, out v2, out v3, out v4, out v5); v6 = Next(); } public void Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6, out T7 v7) { Make(out v1, out v2, out v3, out v4, out v5, out v6); v7 = Next(); } //public (T1, T2) Make() { Make(out T1 v1, out T2 v2); return (v1, v2); } //public (T1, T2, T3) Make() { Make(out T1 v1, out T2 v2, out T3 v3); return (v1, v2, v3); } //public (T1, T2, T3, T4) Make() { Make(out T1 v1, out T2 v2, out T3 v3, out T4 v4); return (v1, v2, v3, v4); } } public class Pair : IComparable> { public T1 v1; public T2 v2; public Pair() { } public Pair(T1 v1, T2 v2) { this.v1 = v1; this.v2 = v2; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int CompareTo(Pair p) { var c = Comparer.Default.Compare(v1, p.v1); if (c == 0) c = Comparer.Default.Compare(v2, p.v2); return c; } public override string ToString() => $"{v1.ToString()} {v2.ToString()}"; public void Deconstruct(out T1 a, out T2 b) { a = v1; b = v2; } } public class Pair : Pair, IComparable> { public T3 v3; public Pair() : base() { } public Pair(T1 v1, T2 v2, T3 v3) : base(v1, v2) { this.v3 = v3; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int CompareTo(Pair p) { var c = base.CompareTo(p); if (c == 0) c = Comparer.Default.Compare(v3, p.v3); return c; } public override string ToString() => $"{base.ToString()} {v3.ToString()}"; public void Deconstruct(out T1 a, out T2 b, out T3 c) { Deconstruct(out a, out b); c = v3; } } #endregion