using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Reflection.Metadata;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
using System.Text.RegularExpressions;
using System.Threading;

namespace AtCoder
{
	public class Program
	{
		static void Main()
		{
			using var cin = new Scanner();
			var (n, q) = cin.Int2();
			var a = cin.ArrayInt(n);
			var seg = new SegmentTree<int>(
				a,
				0,
				(x, y) => Math.Max(x, y));
			for (int i = 0; i < q; i++) {
				var t = cin.Int();
				if (t == 1) {
					int x = cin.Int() - 1;
					int v = cin.Int();
					seg.Update(x, v);
				} else if (t == 2) {
					int l = cin.Int() - 1;
					int r = cin.Int();
					int max = seg.Query(l, r);
					Console.WriteLine(max);
				} else {
					int x = cin.Int() - 1;
					int v = cin.Int();
					int ans = seg.FindLeftest(x, n, x => v <= x);
					Console.WriteLine(ans + 1);
				}
			}
		}
	}

	public class SegmentTree<T> : IEnumerable<T>
	{
		private readonly int n_;
		private readonly T unit_;
		private readonly T[] tree_;
		private readonly Func<T, T, T> operate_;

		public int Count { get; }
		public T Top => tree_[1];

		public T this[int index]
		{
			get => tree_[index + n_];
			set => Update(index, value);
		}

		public SegmentTree(int count, T unit, Func<T, T, T> operate)
		{
			operate_ = operate;
			unit_ = unit;

			Count = count;
			n_ = 1;
			while (n_ < count) {
				n_ <<= 1;
			}

			tree_ = new T[n_ << 1];
			for (int i = 0; i < tree_.Length; i++) {
				tree_[i] = unit;
			}
		}

		public SegmentTree(T[] src, T unit, Func<T, T, T> operate)
			: this(src.Length, unit, operate)
		{
			for (int i = 0; i < src.Length; ++i) {
				tree_[i + n_] = src[i];
			}

			for (int i = n_ - 1; i > 0; --i) {
				tree_[i] = operate_(tree_[i << 1], tree_[(i << 1) + 1]);
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public void Update(int index, T value)
		{
			if (index >= Count) {
				return;
			}

			index += n_;
			tree_[index] = value;
			index >>= 1;
			while (index != 0) {
				tree_[index] = operate_(tree_[index << 1], tree_[(index << 1) + 1]);
				index >>= 1;
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public T Query(Range range) => Query(range.Start.Value, range.End.Value);
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public T Query(int left, int right)
		{
			if (left > right || right < 0 || left >= Count) {
				return unit_;
			}

			int l = left + n_;
			int r = right + n_;
			T valL = unit_;
			T valR = unit_;
			while (l < r) {
				if ((l & 1) != 0) {
					valL = operate_(valL, tree_[l]);
					++l;
				}
				if ((r & 1) != 0) {
					--r;
					valR = operate_(tree_[r], valR);
				}

				l >>= 1;
				r >>= 1;
			}

			return operate_(valL, valR);
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int FindLeftest(Range range, Func<T, bool> check)
			=> FindLeftest(range.Start.Value, range.End.Value, check);
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int FindLeftest(int left, int right, Func<T, bool> check)
			=> FindLeftestCore(left, right, 1, 0, n_, check);
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		private int FindLeftestCore(int left, int right, int v, int l, int r, Func<T, bool> check)
		{
			if (check(tree_[v]) == false || r <= left || right <= l) {
				return right;
			} else if (v >= n_) {
				return v - n_;
			} else {
				int lc = v << 1;
				int rc = (v << 1) + 1;
				int mid = (l + r) >> 1;
				int vl = FindLeftestCore(left, right, lc, l, mid, check);
				if (vl != right) {
					return vl;
				} else {
					return FindLeftestCore(left, right, rc, mid, r, check);
				}
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int FindRightest(Range range, Func<T, bool> check)
			=> FindRightest(range.Start.Value, range.End.Value, check);
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int FindRightest(int left, int right, Func<T, bool> check)
			=> FindRightestCore(left, right, 1, 0, n_, check);
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		private int FindRightestCore(int left, int right, int v, int l, int r, Func<T, bool> check)
		{
			if (check(tree_[v]) == false || r <= left || right <= l) {
				return left - 1;
			} else if (v >= n_) {
				return v - n_;
			} else {
				int lc = v << 1;
				int rc = (v << 1) + 1;
				int mid = (l + r) >> 1;
				int vr = FindRightestCore(left, right, rc, mid, r, check);
				if (vr != left - 1) {
					return vr;
				} else {
					return FindRightestCore(left, right, lc, l, mid, check);
				}
			}
		}

		public IEnumerator<T> GetEnumerator()
		{
			for (int i = 0; i < Count; i++) {
				yield return this[i];
			}
		}

		IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
	}

	public class HashMap<TKey, TValue> : Dictionary<TKey, TValue>
	{
		private readonly Func<TKey, TValue> initialzier_;
		public HashMap(Func<TKey, TValue> initialzier)
			: base()
		{
			initialzier_ = initialzier;
		}

		public HashMap(Func<TKey, TValue> initialzier, int capacity)
			: base(capacity)
		{
			initialzier_ = initialzier;
		}

		new public TValue this[TKey key]
		{
			get
			{
				if (ContainsKey(key) == false) {
					base[key] = initialzier_(key);
				}

				return base[key];
			}

			set { base[key] = value; }
		}
	}

	public struct ModInt
	{
		public const long P = 1000000007;
		//public const long P = 998244353;

		public static ModInt Inverse(ModInt value) => Pow(value, P - 2);
		public static ModInt Pow(ModInt value, long k) => Pow(value.value_, k);
		public static ModInt Pow(long value, long k)
		{
			long ret = 1;
			for (k %= P - 1; k > 0; k >>= 1, value = value * value % P) {
				if ((k & 1) == 1) {
					ret = ret * value % P;
				}
			}
			return new ModInt(ret);
		}

		private long value_;

		public ModInt(long value)
			=> value_ = value;
		public ModInt(long value, bool mods)
		{
			if (mods) {
				value %= P;
				if (value < 0) {
					value += P;
				}
			}

			value_ = value;
		}

		public static ModInt operator +(ModInt lhs, ModInt rhs)
		{
			lhs.value_ = (lhs.value_ + rhs.value_) % P;
			return lhs;
		}
		public static ModInt operator +(long lhs, ModInt rhs)
		{
			rhs.value_ = (lhs + rhs.value_) % P;
			return rhs;
		}
		public static ModInt operator +(ModInt lhs, long rhs)
		{
			lhs.value_ = (lhs.value_ + rhs) % P;
			return lhs;
		}

		public static ModInt operator -(ModInt lhs, ModInt rhs)
		{
			lhs.value_ = (P + lhs.value_ - rhs.value_) % P;
			return lhs;
		}
		public static ModInt operator -(long lhs, ModInt rhs)
		{
			rhs.value_ = (P + lhs - rhs.value_) % P;
			return rhs;
		}
		public static ModInt operator -(ModInt lhs, long rhs)
		{
			lhs.value_ = (P + lhs.value_ - rhs) % P;
			return lhs;
		}

		public static ModInt operator *(ModInt lhs, ModInt rhs)
		{
			lhs.value_ = lhs.value_ * rhs.value_ % P;
			return lhs;
		}
		public static ModInt operator *(long lhs, ModInt rhs)
		{
			rhs.value_ = lhs * rhs.value_ % P;
			return rhs;
		}
		public static ModInt operator *(ModInt lhs, long rhs)
		{
			lhs.value_ = lhs.value_ * rhs % P;
			return lhs;
		}

		public static ModInt operator /(ModInt lhs, ModInt rhs)
		{
			long exp = P - 2;
			while (exp > 0) {
				if (exp % 2 > 0) {
					lhs *= rhs;
				}

				rhs *= rhs;
				exp /= 2;
			}

			return lhs;
		}

		public static implicit operator ModInt(long n) => new ModInt(n, true);
		public long ToLong() => value_;
		public override string ToString() => value_.ToString();
	}

	public static class Helper
	{
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void UpdateMin<T>(ref T target, T value) where T : IComparable<T>
			=> target = target.CompareTo(value) > 0 ? value : target;
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void UpdateMin<T>(ref T target, T value, Action<T> onUpdated) where T : IComparable<T>
		{
			if (target.CompareTo(value) > 0) {
				target = value;
				onUpdated(value);
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void UpdateMax<T>(ref T target, T value) where T : IComparable<T>
			=> target = target.CompareTo(value) < 0 ? value : target;
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void UpdateMax<T>(ref T target, T value, Action<T> onUpdated) where T : IComparable<T>
		{
			if (target.CompareTo(value) < 0) {
				target = value;
				onUpdated(value);
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[] Array<T>(int n, Func<int, T> init)
			=> Enumerable.Range(0, n).Select(x => init(x)).ToArray();
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static List<T> List<T>(int n, Func<int, T> init)
			=> Enumerable.Range(0, n).Select(x => init(x)).ToList();

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[,] Array2<T>(int n, int m, T init)
			where T : struct
		{
			var array = new T[n, m];
			for (int i = 0; i < n; i++) {
				for (int j = 0; j < m; j++) {
					array[i, j] = init;
				}
			}

			return array;
		}
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[,] Array2<T>(int n, int m, Func<int, int, T> initializer)
		{
			var array = new T[n, m];
			for (int i = 0; i < n; i++) {
				for (int j = 0; j < m; j++) {
					array[i, j] = initializer(i, j);
				}
			}

			return array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[,,] Array3<T>(int n1, int n2, int n3, T init)
			where T : struct
		{
			var array = new T[n1, n2, n3];
			for (int i1 = 0; i1 < n1; i1++) {
				for (int i2 = 0; i2 < n2; i2++) {
					for (int i3 = 0; i3 < n3; i3++) {
						array[i1, i2, i3] = init;
					}
				}
			}

			return array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[,,,] Array4<T>(int n1, int n2, int n3, int n4, T init)
			where T : struct
		{
			var array = new T[n1, n2, n3, n4];
			for (int i1 = 0; i1 < n1; i1++) {
				for (int i2 = 0; i2 < n2; i2++) {
					for (int i3 = 0; i3 < n3; i3++) {
						for (int i4 = 0; i4 < n4; i4++) {
							array[i1, i2, i3, i4] = init;
						}
					}
				}
			}

			return array;
		}

		private static readonly int[] delta4_ = { 1, 0, -1, 0, 1 };
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void DoAt4(int i, int j, int imax, int jmax, Action<int, int> action)
		{
			for (int dn = 0; dn < 4; dn++) {
				int d4i = i + delta4_[dn];
				int d4j = j + delta4_[dn + 1];
				if ((uint)d4i < (uint)imax && (uint)d4j < (uint)jmax) {
					action(d4i, d4j);
				}
			}
		}

		private static readonly int[] delta8_ = { 1, 0, -1, 0, 1, 1, -1, -1, 1 };
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void DoAt8(int i, int j, int imax, int jmax, Action<int, int> action)
		{
			for (int dn = 0; dn < 8; dn++) {
				int d8i = i + delta8_[dn];
				int d8j = j + delta8_[dn + 1];
				if ((uint)d8i < (uint)imax && (uint)d8j < (uint)jmax) {
					action(d8i, d8j);
				}
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void ForEachSubBit(int bit, Action<int> action)
		{
			for (int sub = bit; sub >= 0; sub--) {
				sub &= bit;
				action(sub);
			}
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static string Reverse(string src)
		{
			var chars = src.ToCharArray();
			for (int i = 0, j = chars.Length - 1; i < j; i++, j--) {
				var tmp = chars[i];
				chars[i] = chars[j];
				chars[j] = tmp;
			}
			return new string(chars);
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static string Join<T>(this IEnumerable<T> values, string separator = "")
			=> string.Join(separator, values);
	}

	public class Scanner : IDisposable
	{
		private readonly char delimiter_ = ' ';
		private readonly string filePath_;
		private readonly StreamReader sr_;
		private string[] buf_;
		private int index_;

		public Scanner(string file = "")
		{
			if (string.IsNullOrWhiteSpace(file)) {
				sr_ = new StreamReader(Console.OpenStandardInput());
			} else {
				filePath_ = file;
				sr_ = new StreamReader(file);
			}

			Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) {
				AutoFlush = false 
			});
			buf_ = new string[0];
			index_ = 0;
		}

		public void Dispose()
		{
			Console.Out.Flush();
			sr_.Dispose();
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public string NextLine() => sr_.ReadLine();
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public string Next()
		{
			if (index_ < buf_.Length) {
				return buf_[index_++];
			}

			string st = sr_.ReadLine();
			while (st == "") {
				st = sr_.ReadLine();
			}

			buf_ = st.Split(delimiter_, StringSplitOptions.RemoveEmptyEntries);
			if (buf_.Length == 0) {
				return Next();
			}

			index_ = 0;
			return buf_[index_++];
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int Int() => int.Parse(Next());
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int Int(int offset) => int.Parse(Next()) + offset;
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (int, int) Int2(int offset = 0)
			=> (Int(offset), Int(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (int, int, int) Int3(int offset = 0)
			=> (Int(offset), Int(offset), Int(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (int, int, int, int) Int4(int offset = 0)
			=> (Int(offset), Int(offset), Int(offset), Int(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int[] ArrayInt(int length, int offset = 0)
		{
			int[] Array = new int[length];
			for (int i = 0; i < length; i++) {
				Array[i] = Int(offset);
			}
			return Array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public long Long() => long.Parse(Next());
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public long Long(long offset) => long.Parse(Next()) + offset;
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (long, long) Long2(long offset = 0)
			=> (Long(offset), Long(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (long, long, long) Long3(long offset = 0)
			=> (Long(offset), Long(offset), Long(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (long, long, long, long) Long4(long offset = 0)
			=> (Long(offset), Long(offset), Long(offset), Long(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public long[] ArrayLong(int length, long offset = 0)
		{
			long[] Array = new long[length];
			for (int i = 0; i < length; i++) {
				Array[i] = Long(offset);
			}
			return Array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public double Double() => double.Parse(Next());
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public double Double(double offset) => double.Parse(Next()) + offset;
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (double, double) Double2(double offset = 0)
			=> (Double(offset), Double(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (double, double, double) Double3(double offset = 0)
			=> (Double(offset), Double(offset), Double(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public (double, double, double, double) Double4(double offset = 0)
			=> (Double(offset), Double(offset), Double(offset), Double(offset));
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public double[] ArrayDouble(int length, double offset = 0)
		{
			double[] Array = new double[length];
			for (int i = 0; i < length; i++) {
				Array[i] = Double(offset);
			}
			return Array;
		}

		public void Save(string text)
		{
			if (string.IsNullOrWhiteSpace(filePath_)) {
				return;
			}

			File.WriteAllText(filePath_ + "_output.txt", text);
		}
	}
}


Measured memory_bytes: 63024