using System; using System.Collections; using System.Collections.Generic; using System.Diagnostics; using System.Globalization; using System.IO; using System.Text; using System.Linq; using E = System.Linq.Enumerable; using System.Threading; internal partial class Solver { private static int PopCount(ulong x) { x = (x & 0x5555555555555555UL) + ((x >> 1) & 0x5555555555555555UL); x = (x & 0x3333333333333333UL) + ((x >> 2) & 0x3333333333333333UL); x = (x + (x >> 4)) & 0x0f0f0f0f0f0f0f0fUL; x += x >> 8; x += x >> 16; x += x >> 32; return (int)(x & 0x7FLU); } static int ToInt(string color) { int r = 0; for (int i = 0; i < color.Length; i++) { if (color[i] == '1') r |= 1 << i; } return r; } static int ToId(int x, int color) { return x * 7 + color; } public void Run() { var n = ni(); var m = ni(); var q = ni(); var s = ns(n); var colors = s.Select(ToInt).ToArray(); var adj = Enumerable.Range(0, n + 7).Select(_ => new List()).ToArray(); for (int i = 0; i < m; i++) { var a = ni() - 1; var b = ni() - 1; adj[a].Add(b); adj[b].Add(a); } var weight = new int[7 * n * 2]; for (int i = 0; i < 7 * n; i++) { weight[i] = 1; } var D = new DisjointSet(7 * n * 2, weight); var offset = 7 * n; var exists = new bool[n, 7]; for (int i = 0; i < n; i++) { for (int j = 0; j < 7; j++) { if (s[i][j] == '1') { exists[i, j] = true; } } } for (int i = 0; i < n; i++) { for (int j = 0; j < 7; j++) { if (exists[i, j]) { D.Unite(ToId(i, j), ToId(i, j) + offset); int k = (j + 1) % 7; if (exists[i, k]) { D.Unite(ToId(i, j), ToId(i, k)); } foreach (var next in adj[i]) { if (exists[next, j]) { D.Unite(ToId(i, j) + offset, ToId(next, j) + offset); } } } } } for (int _ = 0; _ < q; _++) { var t = ni(); var x = ni(); var y = ni(); if (t == 1) { x--; y--; // Add color y to city x exists[x, y] = true; D.Unite(ToId(x, y), ToId(x, y) + offset); var y0 = (y + 8) % 7; if (exists[x, y0]) { D.Unite(ToId(x, y), ToId(x, y0)); } var y1 = (y + 6) % 7; if (exists[x, y1]) { D.Unite(ToId(x, y), ToId(x, y1)); } foreach (var next in adj[x]) { if (exists[next, y]) { D.Unite(ToId(x, y) + offset, ToId(next, y) + offset); } } } else { // 2 cout.WriteLine(D.Weight(ToId(x - 1, 0))); } } } } public class DisjointSet { private readonly long[] _group; private readonly long[] _weight; public int GroupCount { get; private set; } public DisjointSet(int n, int[] weight = null) { _group = new long[n]; _weight = new long[n]; for (int i = 0; i < _group.Length; i++) { _group[i] = -1; _weight[i] = weight[i]; } GroupCount = n; } public bool Unite(int x, int y) { x = Root(x); y = Root(y); if (x == y) { return false; } if (_group[y] < _group[x]) { return Unite(y, x); } _group[x] += _group[y]; _weight[x] += _weight[y]; _group[y] = x; GroupCount--; return true; } public bool IsSameSet(int x, int y) { return Root(x) == Root(y); } public int Root(int x) { return _group[x] < 0 ? x : (int)(_group[x] = Root((int)_group[x])); } public long Size(int x) { return -_group[Root(x)]; } public long Weight(int x) { return _weight[Root(x)]; } }; // PREWRITEN CODE BEGINS FROM HERE static public class StringExtensions { static public string JoinToString(this IEnumerable source, string separator = " ") { return string.Join(separator, source); } } internal partial class Solver : Scanner { static readonly int? StackSizeInMebiByte = null; //50; public static void StartAndJoin(Action action, int maxStackSize) { var thread = new Thread(new ThreadStart(action), maxStackSize); thread.Start(); thread.Join(); } public static void Main() { #if LOCAL byte[] inputBuffer = new byte[1000000]; var inputStream = Console.OpenStandardInput(inputBuffer.Length); using (var reader = new StreamReader(inputStream, Console.InputEncoding, false, inputBuffer.Length)) { Console.SetIn(reader); new Solver(Console.In, Console.Out).Run(); } #else Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); if (StackSizeInMebiByte.HasValue) { StartAndJoin(() => new Solver(Console.In, Console.Out).Run(), StackSizeInMebiByte.Value * 1024 * 1024); } else { new Solver(Console.In, Console.Out).Run(); } Console.Out.Flush(); #endif } #pragma warning disable IDE0052 private readonly TextReader cin; private readonly TextWriter cout; private readonly TextWriter cerr; #pragma warning restore IDE0052 public Solver(TextReader reader, TextWriter writer) : base(reader) { cin = reader; cout = writer; cerr = Console.Error; } public Solver(string input, TextWriter writer) : this(new StringReader(input), writer) { } #pragma warning disable IDE1006 #pragma warning disable IDE0051 private int ni() { return NextInt(); } private int[] ni(int n) { return NextIntArray(n); } private long nl() { return NextLong(); } private long[] nl(int n) { return NextLongArray(n); } private double nd() { return NextDouble(); } private double[] nd(int n) { return NextDoubleArray(n); } private string ns() { return Next(); } private string[] ns(int n) { return NextArray(n); } #pragma warning restore IDE1006 #pragma warning restore IDE0051 } #if DEBUG internal static class LinqPadExtension { public static string TextDump(this T obj) { if (obj is IEnumerable) return (obj as IEnumerable).Cast().JoinToString().Dump(); else return obj.ToString().Dump(); } public static T Dump(this T obj) { return LINQPad.Extensions.Dump(obj); } } #endif public class Scanner { private readonly TextReader Reader; private readonly CultureInfo ci = CultureInfo.InvariantCulture; private readonly char[] buffer = new char[2 * 1024]; private int cursor = 0, length = 0; private string Token; private readonly StringBuilder sb = new StringBuilder(1024); public Scanner() : this(Console.In) { } public Scanner(TextReader reader) { Reader = reader; } public int NextInt() { return checked((int)NextLong()); } public long NextLong() { var s = Next(); long r = 0; int i = 0; bool negative = false; if (s[i] == '-') { negative = true; i++; } for (; i < s.Length; i++) { r = r * 10 + (s[i] - '0'); #if DEBUG if (!char.IsDigit(s[i])) throw new FormatException(); #endif } return negative ? -r : r; } public double NextDouble() { return double.Parse(Next(), ci); } public string[] NextArray(int size) { string[] array = new string[size]; for (int i = 0; i < size; i++) { array[i] = Next(); } return array; } public int[] NextIntArray(int size) { int[] array = new int[size]; for (int i = 0; i < size; i++) { array[i] = NextInt(); } return array; } public long[] NextLongArray(int size) { long[] array = new long[size]; for (int i = 0; i < size; i++) { array[i] = NextLong(); } return array; } public double[] NextDoubleArray(int size) { double[] array = new double[size]; for (int i = 0; i < size; i++) { array[i] = NextDouble(); } return array; } public string Next() { if (Token == null) { if (!StockToken()) { throw new Exception(); } } var token = Token; Token = null; return token; } public bool HasNext() { if (Token != null) { return true; } return StockToken(); } private bool StockToken() { while (true) { sb.Clear(); while (true) { if (cursor >= length) { cursor = 0; if ((length = Reader.Read(buffer, 0, buffer.Length)) <= 0) { break; } } var c = buffer[cursor++]; if (33 <= c && c <= 126) { sb.Append(c); } else { if (sb.Length > 0) break; } } if (sb.Length > 0) { Token = sb.ToString(); return true; } return false; } } }