After a long party Petya decided to return home, but he turned out to be at the opposite end of the town from his home. There are n crossroads in the line in the town, and there is either the bus or the tram station at each crossroad.

The crossroads are represented as a string s of length n, where s_i = A, if there is a bus station at i-th crossroad, and s_i = B, if there is a tram station at i-th crossroad. Currently Petya is at the first crossroad (which corresponds to s_1) and his goal is to get to the last crossroad (which corresponds to s_n).

If for two crossroads i and j for all crossroads i, i+1, …, j-1 there is a bus station, one can pay a roubles for the bus ticket, and go from i-th crossroad to the j-th crossroad by the bus (it is not necessary to have a bus station at the j-th crossroad). Formally, paying a roubles Petya can go from i to j if s_t = A for all i ≤ t < j. 

If for two crossroads i and j for all crossroads i, i+1, …, j-1 there is a tram station, one can pay b roubles for the tram ticket, and go from i-th crossroad to the j-th crossroad by the tram (it is not necessary to have a tram station at the j-th crossroad). Formally, paying b roubles Petya can go from i to j if s_t = B for all i ≤ t < j.

For example, if s="AABBBAB", a=4 and b=3 then Petya needs:

<image>

  * buy one bus ticket to get from 1 to 3, 
  * buy one tram ticket to get from 3 to 6, 
  * buy one bus ticket to get from 6 to 7. 



Thus, in total he needs to spend 4+3+4=11 roubles. Please note that the type of the stop at the last crossroad (i.e. the character s_n) does not affect the final expense.

Now Petya is at the first crossroad, and he wants to get to the n-th crossroad. After the party he has left with p roubles. He's decided to go to some station on foot, and then go to home using only public transport.

Help him to choose the closest crossroad i to go on foot the first, so he has enough money to get from the i-th crossroad to the n-th, using only tram and bus tickets.

Input

Each test contains one or more test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^4).

The first line of each test case consists of three integers a, b, p (1 ≤ a, b, p ≤ 10^5) — the cost of bus ticket, the cost of tram ticket and the amount of money Petya has.

The second line of each test case consists of one string s, where s_i = A, if there is a bus station at i-th crossroad, and s_i = B, if there is a tram station at i-th crossroad (2 ≤ |s| ≤ 10^5).

It is guaranteed, that the sum of the length of strings s by all test cases in one test doesn't exceed 10^5.

Output

For each test case print one number — the minimal index i of a crossroad Petya should go on foot. The rest of the path (i.e. from i to n he should use public transport).

Example

Input


5
2 2 1
BB
1 1 1
AB
3 2 8
AABBBBAABB
5 3 4
BBBBB
2 1 1
ABABAB


Output


2
1
3
1
6
import java.math.*;
import java.io.*;
import java.util.*;
public class Codeforces{
    
    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 int gcd(Integer a,Integer b)
    {
        if(b==0)
            return a;
        else
            return gcd(b,a%b);
    }
 
    static boolean checkForPrime(int inputNumber)
    {
        boolean isItPrime = true;
        if(inputNumber <= 1) 
        {
            isItPrime = false;
            return isItPrime;
        }
        else
        {
            if(inputNumber%2==0 && inputNumber==2)
            {
                return true;
            }
            else if(inputNumber%2==0)
            {
                return false;
            }
            else{
                int check=(int)Math.sqrt(inputNumber);
                for (int i = 3; i<= check; i+=2) 
                {
                    if ((inputNumber % i) == 0)
                    {
                        isItPrime = false;
                        break;
                    }
                }
            }
        }
 
        return isItPrime;
    }
 
    public static void main(String args[]) throws Exception
    {
        FastReader sc=new FastReader();
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(new FileOutputStream(java.io.FileDescriptor.out), "ASCII"), 512);
        int t=sc.nextInt();
        for(int q=0;q<t;q++)
        {
            int a=sc.nextInt();
            int b=sc.nextInt();
            int p=sc.nextInt();
            String s=sc.next();
            long value=0;
            if(s.charAt(0)=='A')
            {
                value+=a;
            }
            else{
                value+=b;
            }
            for(int i=1;i<s.length()-1;i++)
            {
                if(s.charAt(i)!=s.charAt(i-1))
                {
                    if(s.charAt(i)=='A')
                    {
                        value+=a;
                    }
                    else{
                        value+=b;
                    }
                }
            }
            long arr[]=new long[s.length()];
            arr[0]=value;
            for(int i=1;i<s.length()-1;i++)
            {
                if(s.charAt(i)!=s.charAt(i-1))
                {
                    if(s.charAt(i)=='A')
                    {
                        value-=b;
                        arr[i]=value;
                    }
                    else{
                        value-=a;
                        arr[i]=value;
                    }
                }
                else{
                    arr[i]=value;
                }
            }
            arr[s.length()-1]=0;
            int index=s.length()-1;
            for(int i=0;i<s.length();i++)
            {
                if(arr[i]<=p)
                {
                    index=i;
                    break;
                }
            }
            out.write((index+1)+"");
            out.write("\n");
            out.flush();
        }
        out.close();
    }
}