A binary string is a string that consists of characters 0 and 1.

Let \operatorname{MEX} of a binary string be the smallest digit among 0, 1, or 2 that does not occur in the string. For example, \operatorname{MEX} of 001011 is 2, because 0 and 1 occur in the string at least once, \operatorname{MEX} of 1111 is 0, because 0 and 2 do not occur in the string and 0 < 2.

A binary string s is given. You should cut it into any number of substrings such that each character is in exactly one substring. It is possible to cut the string into a single substring — the whole string.

A string a is a substring of a string b if a can be obtained from b by deletion of several (possibly, zero or all) characters from the beginning and several (possibly, zero or all) characters from the end.

What is the minimal sum of \operatorname{MEX} of all substrings pieces can be?

Input

The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases. Description of the test cases follows.

Each test case contains a single binary string s (1 ≤ |s| ≤ 10^5).

It's guaranteed that the sum of lengths of s over all test cases does not exceed 10^5.

Output

For each test case print a single integer — the minimal sum of \operatorname{MEX} of all substrings that it is possible to get by cutting s optimally.

Example

Input


6
01
1111
01100
101
0000
01010


Output


1
0
2
1
1
2

Note

In the first test case the minimal sum is \operatorname{MEX}(0) + \operatorname{MEX}(1) = 1 + 0 = 1.

In the second test case the minimal sum is \operatorname{MEX}(1111) = 0.

In the third test case the minimal sum is \operatorname{MEX}(01100) = 2.
import java.util.*;
import java.io.*;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Scanner;
import java.util.StringTokenizer;

public class Test{

        static FastReader scan;

        static void solve(){
            String str=scan.next();
            int count=0;
            for(char ch:str.toCharArray()){
                if(ch=='0')count++;
            }
            if(count==0){
                System.out.println(0);
                return;
            }
            
            if(count==str.length()){
                System.out.println(1);
                return;
            }
            count=0;
            for(int i=0;i<str.length();i++){
                if(str.charAt(i)=='0'){
                    count++;
                    while(i<str.length()&&str.charAt(i)=='0')i++;
                    i--;
                }
            }
            if(count<=2)System.out.println(count);
            else System.out.println(2);

        }

        public static void main (String[] args) throws java.lang.Exception{
            scan=new FastReader();
            int t=scan.nextInt();
            while(t-->0){
                solve();
            }
        }

        static class FastReader {
            BufferedReader br;
            StringTokenizer st;

            public FastReader()
            {
                br = new BufferedReader(
                    new InputStreamReader(System.in));
            }

            String next()
            {
                while (st == null || !st.hasMoreElements()) {
                    try {
                        st = new StringTokenizer(br.readLine());
                    }
                    catch (IOException e) {
                        e.printStackTrace();
                    }
                }
                return st.nextToken();
            }

            int nextInt() { return Integer.parseInt(next()); }

            long nextLong() { return Long.parseLong(next()); }

            double nextDouble() { return Double.parseDouble(next()); }

            String nextLine()
            {
                String str = "";
                try {
                    str = br.readLine();
                }
                catch (IOException e) {
                    e.printStackTrace();
                }
                return str;
            }
        }

        static class Pair implements Comparable<Pair>{
            long wt;
            long idx;
            Pair(long x,long y){
                this.wt=x;
                this.idx=y;
            }
            @Override
            public int compareTo(Pair x){
                return (int)(this.wt-x.wt);
            }

            public String toString(){
                return "( "+wt+" "+idx+" )";
            }
        }        

        static void printLong(long []arr){
            for(long x:arr)System.out.print(x+" ");
        }

        static void printInt(int []arr){
            for(int x:arr)System.out.print(x+" ");
        }

        static void scanInt(int []arr){
            for(int i=0;i<arr.length;i++){
                arr[i]=scan.nextInt();
            }
        }

        static void scanLong(long []arr){
            for(int i=0;i<arr.length;i++){
                arr[i]=scan.nextLong();
            }
        }

        static long gcd(long a, long b){
            if (b == 0)
                return a;
            
            return gcd(b, a % b);
        }   

        static long power(long x, long y, long mod){
            long res = 1; 
        
            x = x % mod; 
         
            if (x == 0)
              return 0; 
         
            while (y > 0){              
                if ((y & 1) != 0)
                res = (res * x) % mod;
              
                y = y >> 1; 
                x = (x * x) % mod;
            }
                return res;
        }

        static long add(long a,long b,long mod){
            a = a % mod; 
            b = b % mod; 
            return (((a + b) % mod) + mod) % mod;
        }

        static long sub(long a, long b,long mod){
            a = a % mod; 
            b = b % mod; 
            return (((a - b) % mod) + mod) % mod;
        }

        static long mul(long a, long b,long mod){
            a = a % mod; 
            b = b % mod; 
            return (((a * b) % mod) + mod) % mod;
        }
        

        static long mminvprime(long a, long b,long mod) {
            return power(a, b - 2,mod);
        }
}
