Tokitsukaze is playing a game derivated from Japanese mahjong. In this game, she has three tiles in her hand. Each tile she owns is a suited tile, which means it has a suit (manzu, pinzu or souzu) and a number (a digit ranged from 1 to 9). In this problem, we use one digit and one lowercase letter, which is the first character of the suit, to represent a suited tile. All possible suited tiles are represented as 1m, 2m, …, 9m, 1p, 2p, …, 9p, 1s, 2s, …, 9s.

In order to win the game, she must have at least one mentsu (described below) in her hand, so sometimes she should draw extra suited tiles. After drawing a tile, the number of her tiles increases by one. She can draw any tiles she wants, including those already in her hand.

Do you know the minimum number of extra suited tiles she needs to draw so that she can win?

Here are some useful definitions in this game:

  * A mentsu, also known as meld, is formed by a koutsu or a shuntsu; 
  * A koutsu, also known as triplet, is made of three identical tiles, such as [1m, 1m, 1m], however, [1m, 1p, 1s] or [1m, 4m, 7m] is NOT a koutsu; 
  * A shuntsu, also known as sequence, is made of three sequential numbered tiles in the same suit, such as [1m, 2m, 3m] and [5s, 7s, 6s], however, [9m, 1m, 2m] or [1m, 2p, 3s] is NOT a shuntsu. 



Some examples: 

  * [2m, 3p, 2s, 4m, 1s, 2s, 4s] — it contains no koutsu or shuntsu, so it includes no mentsu; 
  * [4s, 3m, 3p, 4s, 5p, 4s, 5p] — it contains a koutsu, [4s, 4s, 4s], but no shuntsu, so it includes a mentsu; 
  * [5p, 5s, 9m, 4p, 1s, 7p, 7m, 6p] — it contains no koutsu but a shuntsu, [5p, 4p, 6p] or [5p, 7p, 6p], so it includes a mentsu. 



Note that the order of tiles is unnecessary and you can assume the number of each type of suited tiles she can draw is infinite.

Input

The only line contains three strings — the tiles in Tokitsukaze's hand. For each string, the first character is a digit ranged from 1 to 9 and the second character is m, p or s.

Output

Print a single integer — the minimum number of extra suited tiles she needs to draw.

Examples

Input


1s 2s 3s


Output


0


Input


9m 9m 9m


Output


0


Input


3p 9m 2p


Output


1

Note

In the first example, Tokitsukaze already has a shuntsu.

In the second example, Tokitsukaze already has a koutsu.

In the third example, Tokitsukaze can get a shuntsu by drawing one suited tile — 1p or 4p. The resulting tiles will be [3p, 9m, 2p, 1p] or [3p, 9m, 2p, 4p].
import java.io.BufferedWriter;
	import java.io.IOException;
	import java.io.InputStream;
	import java.io.OutputStream;
	import java.io.OutputStreamWriter;
	import java.io.PrintWriter;
	import java.io.Writer;
	import java.util.Arrays;
	import java.util.InputMismatchException;
	import java.util.*;
	import java.io.*;
	import java.math.*;
	public class Main6{

	static class Pair
		{ 
			int x;
			int y;
			public Pair(int x,int y) 
			{	 
				this.x= x; 
				this.y= y;
			}	 
		} 
		static class Pair1
		{
			String x;
			int y;
			int z;
			
		}
		static class Compare
		{ 
			/*static void compare(Pair arr[], int n) 
			{ 
				// Comparator to sort the pair according to second element 
				Arrays.sort(arr, new Comparator<Pair>() { 
					@Override public int compare(Pair p1, Pair p2) 
					{ 
						if(p1.start>p2.start)
						{
							return 1;
						}
						else if(p1.start==p2.start)
						{
							return 0;
						}
						else
						{
							return -1;
						}
					} 
				}); 
			}
			*/
		}
		
		
		public static long pow(long a, long b)
		{
			long result=1;
			while(b>0)
			{
				if (b % 2 != 0)
				{
					result=(result*a)%mod;
					b--;
				} 
				a=(a*a)%mod;
				b /= 2;
			}   
			return result;
		}
		public static long fact(long num)
		{
					long value=1;
					int i=0;
					for(i=2;i<num;i++)
					{
						value=((value%mod)*i%mod)%mod;
					}
					return value;
				}
				public static int gcd(int a, int b)
				{
					if (a == 0)
						return b;
					return gcd(b%a, a);
				}
				
		/*		public static long lcm(long a,long b)
				{
					return a * (b / gcd(a, b));
				}
			*/	public static long sum(int h)
				{
					return (h*(h+1)/2);
				}
				/*public static void dfs(int parent,boolean[] visited)
				{
					TreeSet<Integer> arr=new TreeSet<Integer>();
					arr=graph.get(parent);
					visited[parent]=true;
					if(a[parent]==1)
					{
						flag=1;
					}
					if(a[parent]==2)
					{
						flag1=1;
					}
					if(flag==1 && flag1==1)
					{
						return;
					}
					Iterator itr=arr.iterator();
					while(itr.hasNext())
					{
						int num=(int)itr.next();
						if(visited[num]==false)
						{
							dfs(num,visited);
						}
					}
					x1x`
				}*/
			//	static int flag1=0;
				static int[] dis;
				static int mod=1000000007;
				static ArrayList<ArrayList<Integer>> graph;
				
				public static void bfs(int num,int size)
				{
					boolean[] visited=new boolean[size+1];
					Queue<Integer> q=new LinkedList<>();
					q.add(num);
					ans[num]=1;
					visited[num]=true;
					while(!q.isEmpty())
					{
						int x=q.poll();
						ArrayList<Integer> al=graph.get(x);
						for(int i=0;i<al.size();i++)
						{
							int y=al.get(i);	
							if(visited[y]==false)
							{
								q.add(y);
								ans[y]=ans[x]+1;
								visited[y]=true;
							}
						}
					}
				}
				static int[] ans;
				
				
				
				
				
				
				
				
				
			//	static int[] a;			  
				
				public static int[] sort(int[] a)
				{
					int n=a.length;
					ArrayList<Integer> ar=new ArrayList<>();
					for(int i=0;i<a.length;i++)
					{
						ar.add(a[i]);
					}
					Collections.sort(ar);
					for(int i=0;i<n;i++)
					{
						a[i]=ar.get(i);
					}
					return a;
				}
			//	static int flag=1;
		
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
			
				static public void main(String args[])throws IOException
				{
		//		    BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
					boolean[] prime=new boolean[1000001];
				/*	for(int i=2;i*i<=1000000;i++)
					{
						if(prime[i]==false)
						{
							for(int j=2*i;j<=1000000;j+=i)
							{
								prime[j]=true;
							}
						}
					}*/
					String[] s=new String[3];
					for(int i=0;i<3;i++)
					{
						s[i]=s();
					}
					Arrays.sort(s);
					if(s[0].equals(s[1]) && s[1].equals(s[2]))
					{
						pln("0");
					}
					else
					{
					//	pln(Arrays.toString(s));
						if(s[0].charAt(1)!=s[1].charAt(1) && s[1].charAt(1)!=s[2].charAt(1) && s[2].charAt(1)!=s[0].charAt(1))
						{
							pln("2");
						}
						else if(s[0].charAt(1)==s[1].charAt(1) && s[1].charAt(1)!=s[2].charAt(1))
						{
							if(s[0].charAt(0)==s[1].charAt(0) || s[0].charAt(0)-'0'==s[1].charAt(0)-'0'-1 || s[1].charAt(0)-s[0].charAt(0)==2)
							{
								pln("1");
							}
							else
								pln("2");
						}
						else if(s[1].charAt(1)==s[2].charAt(1) && s[1].charAt(1)!=s[0].charAt(1))
						{
							if(s[2].charAt(0)==s[1].charAt(0) || s[1].charAt(0)-'0'==s[2].charAt(0)-'0'-1 || s[2].charAt(0)-s[1].charAt(0)==2)
							{
								pln("1");
							}
							else
								pln("2");
						}
						else if(s[0].charAt(1)==s[2].charAt(1) && s[2].charAt(1)!=s[1].charAt(1))
						{
							if(s[2].charAt(0)==s[0].charAt(0) || s[0].charAt(0)-'0'==s[2].charAt(0)-'0'-1 || s[2].charAt(0)-s[0].charAt(0)==2)
							{
								pln("1");
							}
							else
								pln("2");
						}
						else if(s[0].charAt(1)==s[1].charAt(1) && s[1].charAt(1)==s[2].charAt(1))
						{
							if(s[0].charAt(0)-'0'==s[1].charAt(0)-'0'-1 && s[2].charAt(0)-'0'-1==s[1].charAt(0)-'0')
							{
								pln("0");
							}
							else if(s[0].charAt(0)==s[1].charAt(0) || s[1].charAt(0)==s[2].charAt(0) || s[2].charAt(0)==s[0].charAt(0) || s[1].charAt(0)-s[0].charAt(0)==2 || s[2].charAt(0)-s[1].charAt(0)==2 || s[2].charAt(0)-s[0].charAt(0)==2)
							{
								pln("1");
							}
							else if(s[0].charAt(0)-'0'==s[1].charAt(0)-'0'-1)
							{
								pln("1");
							}
							else if(s[1].charAt(0)-'0'==s[2].charAt(0)-'0'-1)
							{
								pln("1");
							}
							else
								pln("2");
						}
						else
							pln("2");
					}
				}
				
				
	
					
				
				
				
				
				
				
				
				
				
				
				
				
				
				/**/
				static InputReader in=new InputReader(System.in);
					static OutputWriter out=new OutputWriter(System.out);
					public static long l()
					{
						String s=in.String();
						return Long.parseLong(s);
					}
					public static void pln(String value)
					{
						System.out.println(value);
					}
					public static int i()
					{
						return in.Int();
					}
					public static String s()
					{
						return in.String();
					}
		}
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			 
			class InputReader {
				 
				private InputStream stream;
				private byte[] buf = new byte[1024];
				private int curChar;
				private int numChars;
				private SpaceCharFilter filter;
			 
				public InputReader(InputStream stream) {
					this.stream = stream;
				}
			 
				public int read() {
					if (numChars== -1)
						throw new InputMismatchException();
					if (curChar >= numChars) {
						curChar = 0;
						try {
							numChars = stream.read(buf);
						} catch (IOException e) {
							throw new InputMismatchException();
						}
						if (numChars <= 0)
							return -1;
					}
					return buf[curChar++];
				}
			 
				public int Int() {
					int c = read();
					while (isSpaceChar(c))
						c = read();
					int sgn = 1;
					if (c == '-') {
						sgn = -1;
						c = read();
					}
					int res = 0;
					do {
						if (c < '0' || c > '9')
							throw new InputMismatchException();
						res *= 10;
						res += c - '0';
						c = read();
					} while (!isSpaceChar(c));
					return res * sgn;
				}
			 
				public String String() {
					int c = read();
					while (isSpaceChar(c))
						c = read();
					StringBuilder res = new StringBuilder();
					do {
						res.appendCodePoint(c);
						c = read();
					} while (!isSpaceChar(c));
					return res.toString();
				}
			 
				public boolean isSpaceChar(int c) {
					if (filter != null)
						return filter.isSpaceChar(c);
					return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
				}
			 
				public String next() {
					return String();
				}
			 
				public interface SpaceCharFilter {
					public boolean isSpaceChar(int ch);
				}
			}
			 
			class OutputWriter {
				private final PrintWriter writer;
			 
				public OutputWriter(OutputStream outputStream) {
					writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
				}
			 
				public OutputWriter(Writer writer) {
					this.writer = new PrintWriter(writer);
				}
			 
				public void print(Object...objects) {
					for (int i = 0; i < objects.length; i++) {
						if (i != 0)
							writer.print(' ');
						writer.print(objects[i]);
					}
				}
			 
				public void printLine(Object...objects) {
					print(objects);
					writer.println();
				}
			 
				public void close() {
					writer.close();
				}
			 
				public void flush() {
					writer.flush();
				}
			 
				}
			 
				class IOUtils {
			 
				public static int[] readIntArray(InputReader in, int size) {
					int[] array = new int[size];
					for (int i = 0; i < size; i++)
						array[i] = in.Int();
					return array;
				}
			 
				} 