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:
//package que_b;

import java.io.*;
import java.util.*;
import java.math.*;

public class utkarsh {

    InputStream is;
    PrintWriter out;
    
    long mod = (long)(1e9 + 7), inf = (long)(3e18);
    
    void solve() {
        //SZ = sieve(); //SZ = 1000001;
        char s[] = ns().toCharArray();
        int a = 0, b = 0;
        for(char c : s) {
            if(c == '0') {
                if(a == 0)  out.println("1 1");
                else    out.println("3 1");
                a = 1 - a;
            } else {
                if(b == 0)  out.println("3 3");
                else    out.println("3 1");
                b = 1 - b;
            }
        }
    }
    
    //--------- Extra Template -----------
    
    int P[], S[], SZ, NP = 15485900;
    boolean isP[];

    boolean isPrime(long n) {
        if(n <= 1)  return false;
        if(n <= 3)   return true;
        if(n%2 == 0 || n%3 == 0)    return false;
        for(long i = 5; i * i <= n; i += 6) {
            if(n % i == 0 || n % (i + 2) == 0)  return false;
        }
        return true;
    }
    
    int sieve() {
        int i, j, n = NP; 
        isP = new boolean[n]; 
        S = new int[n];
        for(i = 3; i < n; i += 2) {
            isP[i] = true;
            S[i-1] = 2;
            S[i] = i;
        }
        isP[2] = true;
        S[1] = 1;   //(UD)
        for(i = 3; i * i <= n; i += 2) {
            if( !isP[i] )   continue;
            for(j = i * i; j < n; j += i) {
                isP[j] = false;
                if(S[j] == j)   S[j] = i;
            }
        }

        P = new int[n];
        P[0] = 2;
        j = 1;
        for(i = 3; i < n; i += 2) {
            if ( isP[i] )   P[j++] = i;
        }
        P = Arrays.copyOf(P, j);
        return j;
    }

    long mp(long b, long e, long mod) {
        b %= mod;
        long r = 1;
        while(e > 0) {
            if((e & 1) == 1) {
                r *= b; r %= mod;
            }
            b *= b; b %= mod;
            e >>= 1;
        }
        return r;
    }

    //---------- I/O Template ----------
    
    public static void main(String[] args) { new utkarsh().run(); }
    void run() { 
        is = System.in; 
        out = new PrintWriter(System.out);
        solve();
        out.flush();
    }
    
    byte input[] = new byte[1024];
    int len = 0, ptr = 0;
    
    int readByte() { 
        if(ptr >= len) { ptr = 0; 
            try { len = is.read(input); } 
            catch(IOException e) { throw new InputMismatchException(); } 
            if(len <= 0) { return -1; } 
        } return input[ptr++];
    }
    boolean isSpaceChar(int c) { return !( c >= 33 && c <= 126 ); }
    int skip() { 
        int b = readByte(); 
        while(b != -1 && isSpaceChar(b)) { b = readByte(); } 
        return b;
    }
    
    char nc() { return (char)skip(); }
    String ns() { 
        int b = skip(); 
        StringBuilder sb = new StringBuilder(); 
        while(!isSpaceChar(b)) { sb.appendCodePoint(b); b = readByte(); } 
        return sb.toString();
    }
    String nLine() { 
        int b = skip(); 
        StringBuilder sb = new StringBuilder(); 
        while( !(isSpaceChar(b) && b != ' ') ) { sb.appendCodePoint(b); b = readByte(); } 
        return sb.toString();
    }
    int ni() { 
        int n = 0, b = readByte(); 
        boolean minus = false; 
        while(b != -1 && !( (b >= '0' && b <= '9') || b == '-')) { b = readByte(); } 
        if(b == '-') { minus = true; b = readByte(); } 
        if(b == -1) { return -1; }  //no input 
        while(b >= '0' && b <= '9') { n = n * 10 + (b - '0'); b = readByte(); } 
        return minus ? -n : n;
    }
    long nl() { 
        long n = 0L;    int b = readByte(); 
        boolean minus = false; 
        while(b != -1 && !( (b >= '0' && b <= '9') || b == '-')) { b = readByte(); } 
        if(b == '-') { minus = true; b = readByte(); } 
        while(b >= '0' && b <= '9') { n = n * 10 + (b - '0'); b = readByte(); } 
        return minus ? -n : n;
    }

    double nd() { return Double.parseDouble(ns()); }
    float nf() { return Float.parseFloat(ns()); }
    int[] na(int n) { 
        int a[] = new int[n]; 
        for(int i = 0; i < n; i++) { a[i] = ni(); } 
        return a;
    }
    char[] ns(int n) { 
        char c[] = new char[n]; 
        int i, b = skip(); 
        for(i = 0; i < n; i++) { 
            if(isSpaceChar(b)) { break; } 
            c[i] = (char)b; b = readByte(); 
        } return i == n ? c : Arrays.copyOf(c,i);
    }
}