using System; using System.Linq; using System.Collections.Generic; using System.Diagnostics; using Debug = System.Diagnostics.Trace; using SB = System.Text.StringBuilder; using static System.Math; using Number = System.Int64; using static System.Numerics.BigInteger; namespace Program { public class Solver { Random rnd = new Random(0); public void Solve() { var n = ri; var k = ri; var q = ri; var val = Enumerate(n, x => rl); var pos = Enumerate(k, x => ri - 1); var G = Enumerate(n, x => new List()); var hl = new HLTree(n); var ord = new int[n]; var rev = new int[n]; for (int i = 0; i < n - 1; i++) { var u = ri - 1; var v = ri - 1; G[v].Add(u); hl.AddEdge(u, v); } hl.Build(0); var ptr = 0; Action dfs = null; dfs = (cur) => { rev[ptr] = cur; ord[cur] = ptr++; foreach (var t in G[cur]) { val[t] = Max(val[t], val[cur]); dfs(t); } }; dfs(0); Debug.WriteLine(val.AsJoinedString()); var min = new RmQ(k); var max = new RMQ(k); for (int i = 0; i < k; i++) { min.Update(i, ord[pos[i]]); max.Update(i, ord[pos[i]]); } for (int i = 0; i < q; i++) { if (ri == 1) { var p = ri - 1; var v = ri - 1; pos[p] = v; min.Update(p, ord[pos[p]]); max.Update(p, ord[pos[p]]); } else { var l = ri - 1; var r = ri; var mi = min.Query(l, r); var ma = max.Query(l, r); var lca = hl.GetLCA(rev[mi], rev[ma]); Console.WriteLine(val[lca]); } } } const long INF = 1L << 60; static int[] dx = { -1, 0, 1, 0 }; static int[] dy = { 0, 1, 0, -1 }; int ri { get { return sc.Integer(); } } long rl { get { return sc.Long(); } } double rd { get { return sc.Double(); } } string rs { get { return sc.Scan(); } } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < a.Length; ++i) a[i] = f(i); return a; } static T[][] Enumerate(int n, int m, Func f) { return Enumerate(n, x => Enumerate(m, y => f(x, y))); } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(ie.ToArray()); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = false }); var solver = new Program.Solver(); var t = new System.Threading.Thread(solver.Solve, 100000000); t.Start(); t.Join(); //*/ //solver.Solve(); Console.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n' && b != 0; b = (char)read()) if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); } public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); } public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); } } } #endregion //Segment Tree #region SegTree Operator public interface IData { T Merge(T l, T r); T Identity { get; } T InitValue { get; } } #endregion #region Segment Tree public class SegmentTree where U : struct, IData { int sz; int n; T[] data; U op; public SegmentTree(int size) { sz = size; n = 1; while (n < size) n *= 2; data = new T[n * 2]; for (int i = 0; i < data.Length; i++) data[i] = op.InitValue; } public SegmentTree(T[] a) { sz = a.Length; n = 1; while (n < sz) n *= 2; data = new T[n * 2]; for (int i = 0; i < n; i++) data[i + n] = (i < a.Length) ? a[i] : op.InitValue; for (int i = n - 1; i >= 0; i--) data[i] = op.Merge(data[i * 2], data[i * 2 + 1]); } public void Update(int k, T v) { k += n; data[k] = v; for (k = k / 2; k > 0; k /= 2) data[k] = op.Merge(data[k * 2], data[k * 2 + 1]); } public T Query(int a, int b) { return query(a, b, 1, 0, n); } private T query(int a, int b, int k, int l, int r) { if (r <= a || b <= l) return op.Identity; if (a <= l && r <= b) return data[k]; else { var vl = query(a, b, k * 2, l, (l + r) / 2); var vr = query(a, b, k * 2 + 1, (l + r) / 2, r); return op.Merge(vl, vr); } } public T[] Items { get { var ret = new T[sz]; for (int i = 0; i < sz; i++) ret[i] = data[i + n]; return ret; } } } #endregion #region RmQ public class RmQ : SegmentTree { public RmQ(int size) : base(size) { } } public struct MinData : IData { public long InitValue { get { return 0; } } public long Identity { get { return long.MaxValue; } } public long Merge(long l, long r) { return Math.Min(l, r); } } #endregion #region RMQ public class RMQ : SegmentTree { public RMQ(int size) : base(size) { } } public struct MaxData : IData { public long Identity { get { return long.MinValue; } } public long InitValue { get { return 0; } } public long Merge(long l, long r) { return Math.Max(l, r); } } #endregion #region HLTree public class HLTree { int n; List[] G; int[] subtreeSize; int[] maxsize; int[] par; int[] d; Chain[] go; int[] pos; List chains; public HLTree(int N) { n = N; G = new List[n]; chains = new List(); for (int i = 0; i < n; i++) G[i] = new List(); subtreeSize = new int[n]; maxsize = new int[n]; par = new int[n]; d = new int[n]; go = new Chain[n]; pos = new int[n]; } public void AddEdge(int u, int v) { G[u].Add(v); G[v].Add(u); } public void Build(int root = 0) { computeSubtreeSize(root); Decomposite(-1, root, 0); } void computeSubtreeSize(int r) { var stack = new Stack(); stack.Push(r); var iter = new int[n]; par[r] = -1; //dfs while (stack.Count > 0) { var cur = stack.Peek(); if (iter[cur] == G[cur].Count) { stack.Pop(); subtreeSize[cur]++; if (par[cur] != -1) { subtreeSize[par[cur]] += subtreeSize[cur]; maxsize[par[cur]] = Math.Max(maxsize[par[cur]], subtreeSize[cur]); } continue; } var next = G[cur][iter[cur]++]; if (next == par[cur]) continue; par[next] = cur; d[next] = d[cur] + 1; stack.Push(next); } } void Decomposite(int from, int cur, int lv) { var chain = new Chain(from, lv); chains.Add(chain); chain.Add(cur); while (cur != from) { var next = cur; go[cur] = chain; pos[cur] = chain.Count; foreach (var to in G[cur]) { if (to == from) continue; if (maxsize[cur] == subtreeSize[to]) { maxsize[cur] = -1; next = to; chain.Add(to); } else Decomposite(cur, to, lv + 1); } from = cur; cur = next; } chain.Init(); } public int GetLCA(int u, int v) { while (go[u] != go[v]) { if (go[u].Level < go[v].Level) v = go[v].From; else u = go[u].From; } if (d[u] <= d[v]) return u; else return v; } } public class Chain { const bool DEBUG = true; public int From { get; set; } public int Level { get; set; } public int Count { get; private set; } List heavy; public Chain(int from, int lv) { From = from; Level = lv; heavy = new List(); } public void Add(int v) { if (DEBUG) heavy.Add(v); Count++; } public void Init() { } } #endregion