Problem: You are given a 4x4 grid. You play a game — there is a sequence of tiles, each of them is either 2x1 or 1x2. Your task is to consequently place all tiles from the given sequence in the grid. When tile is placed, each cell which is located in fully occupied row or column is deleted (cells are deleted at the same time independently). You can place tile in the grid at any position, the only condition is that tiles (and tile parts) should not overlap. Your goal is to proceed all given figures and avoid crossing at any time.

Input

The only line contains a string s consisting of zeroes and ones (1 ≤ |s| ≤ 1000). Zero describes vertical tile, one describes horizontal tile.

Output

Output |s| lines — for each tile you should output two positive integers r,c, not exceeding 4, representing numbers of smallest row and column intersecting with it.

If there exist multiple solutions, print any of them.

Example

Input


010


Output


1 1
1 2
1 4

Note

Following image illustrates the example after placing all three tiles: 

<image> Then the first row is deleted:  <image>

Solution (in JAVA):

Solution:
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Set;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;

public class q5 {

	static ArrayList<Integer>[] graph;
	static int[] visited;
	static long[] sums;
	static long[] val;
	static boolean possible=true;
	 public static int gcd(int a,int b) {
		 if(b==0) return a;
		 else return gcd(b,a%b);
	 }
	 
	 // Credits to GFG
	 static public void dfs(int start, long sum) {
		 visited[start]=1;
		 if(sums[start]==-1) {
			 long min=Long.MAX_VALUE;
			 for(int i:graph[start]) {
				 min=Math.min(min, sums[i]);
			 }
			 if(min!=Long.MAX_VALUE && min>=sum) {
				 val[start]+=min-sum;
			 }
			 else if(min==Long.MAX_VALUE){
				 
			 }
			 else {
				 possible=false;return;
			 }
			 for(int i:graph[start]) dfs(i,min);
		 }
		 else {
			 if(sums[start]-sum<0) {
				 possible=false;
			 }
			 else {
				 val[start]=sums[start]-sum;
				 for(int i:graph[start]) {
					 dfs(i,sums[start]);
				 }
			 }
			 
		 }
		 
	 }
	 
	 
	  
	  
	
	
	 
	
	 
	 
	public static void main(String[] args) throws IOException {
		// TODO Auto-generated method stub
		// Editorial implementation for practice
		Reader.init(System.in);
		StringBuffer output=new StringBuffer("");
		PrintWriter out=new PrintWriter(System.out);
		String s=Reader.next();
		int one=0;
		int z=0;
		for(int i=0;i<s.length();i++) {
			if(s.charAt(i)=='0') {
				if(z==0) {
					output.append("1 1\n");
					z=1;
				}
				else {
					z=0;
					output.append("3 1\n");
				}
			}
			else {
				if(one==0) {
					one=1;
					output.append("4 3\n");
				}
				else {
					output.append("4 1\n");
					one=0;
				}
			}
		}
		out.write(output.toString());
		out.flush();
	}
}

 





 
 

 
 class Reader {
	    static BufferedReader reader;
	    static StringTokenizer tokenizer;
	 
	    /** call this method to initialize reader for InputStream */
	    static void init(InputStream input) {
	        reader = new BufferedReader(
	                     new InputStreamReader(input) );
	        tokenizer = new StringTokenizer("");
	    }
	 
	    /** get next word */
	    static String nextLine() throws IOException{
	    	return reader.readLine();
	    }
	    static String next() throws IOException {
	        while ( ! tokenizer.hasMoreTokens() ) {
	            //TODO add check for eof if necessary
	            tokenizer = new StringTokenizer(
	                   reader.readLine() );
	        }
	        return tokenizer.nextToken();
	    }
	    
	    static int nextInt() throws IOException {
	        return Integer.parseInt( next() );
	    }
	    static long nextLong() throws IOException {
	        return Long.parseLong( next() );
	    }
	    static double nextDouble() throws IOException {
	        return Double.parseDouble( next() );
	    }
	}