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.Int32;

namespace Program {
	public class Solver {
		Random rnd = new Random();
		public void Solve() {
			var n = ri;
			var m = ri;
			var x = new int[n];
			var v = new int[n + 1];
			for (int i = 0; i < n; i++) {
				x[i] = ri;
				v[i] = ri;
			}
			Array.Sort(x, v);
			Debug.WriteLine(x.AsJoinedString());
			Debug.WriteLine(v.AsJoinedString());
			for (int i = n; i >= 1; i--) v[i] = v[i] ^ v[i - 1];
			var f = new int[m];
			var t = new int[m];
			var G = Enumerate(n + 1, y => new List<int>());
			for (int i = 0; i < m; i++) {
				f[i] = Array.BinarySearch(x, ri);
				t[i] = Array.BinarySearch(x, ri);
				if (f[i] < 0) f[i] = ~f[i];
				if (t[i] < 0) t[i] = ~t[i];
				else t[i]++;
				G[f[i]].Add(i);
				G[t[i]].Add(i);
			}
			for (int i = 0; i < m; i++)
				Debug.WriteLine($"{f[i]} {t[i]}");

			var vis = new bool[n + 1];
			var ans = new List<int>();
			Action<int> dfs = null;
			dfs = cur => {
				vis[cur] = true;
				foreach (var id in G[cur]) {
					var to = f[id] ^ t[id] ^ cur;
					if (!vis[to]) {
						dfs(to);
						if (v[to] == 1) {
							v[cur] ^= 1;
							v[to] = 0;
							ans.Add(id + 1);
						}
					}
				}
			};
			for (int i = 0; i <= n; i++)
				if (!vis[i]) dfs(i);
			if (v.All(u => u == 0)) {
				ans.Sort();
				Console.WriteLine(ans.Count);
				Console.WriteLine(ans.AsJoinedString());
			}
			else Console.WriteLine(-1);

		}

		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<T>(int n, Func<int, T> f) {
			var a = new T[n];
			for (int i = 0; i < a.Length; ++i) a[i] = f(i);
			return a;
		}
		static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
	}
}

#region main
static class Ex {
	static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
	static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
		return string.Join(st, ie);
	}
	static public void Main() {
		Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = true });
		var solver = new Program.Solver();
		//* 
		var t = new System.Threading.Thread(solver.Solve, 50000000);
		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



Measured memory_bytes: 43356