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

/**
 * User :- sudhakar
 * Date :- 30/05/20
 * Time :- 3:06 PM
 */

public class Homecoming {
    private static final Reader r = new Reader();
    static final int MOD = 1000000007;

    /*Inner class for fast input*/
    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Reader() {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public Reader(String file_name) throws IOException {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String readLine() throws IOException {
            byte[] buf = new byte[64]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1) {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        public String nextString() throws IOException {
            byte c = read();
            while (Character.isWhitespace(c)) {
                c = read();
            }
            StringBuilder builder = new StringBuilder();
            builder.append((char) c);
            c = read();
            while (!Character.isWhitespace(c)) {
                builder.append((char) c);
                c = read();
            }
            return builder.toString();
        }

        public char nextChar() throws IOException {
            byte c = read();
            while (Character.isWhitespace(c)) {
                c = read();
            }
            return (char) c;
        }

        public int nextInt() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');

            if (neg)
                return -ret;
            return ret;
        }

        public long nextLong() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public double nextDouble() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();

            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');

            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }

            if (neg)
                return -ret;
            return ret;
        }

        public int[] nextIntArray(Reader r, int size) throws IOException {
            int[] arr = new int[size + 1];
            for (int i = 1; i <= size; i++)
                arr[i] = r.nextInt();
            return arr;
        }

        public long[] nextLongArray(Reader r, int size) throws IOException {
            long[] arr = new long[size + 1];
            for (int i = 1; i <= size; i++)
                arr[i] = r.nextLong();
            return arr;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }

        private byte read() throws IOException {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }

        public void close() throws IOException {
            if (din == null)
                return;
            din.close();
        }
    }

    private static int ni() throws IOException {
        return r.nextInt();
    }

    private static long nl() throws IOException {
        return r.nextLong();
    }

    private static char nc() throws IOException {
        return r.nextChar();
    }

    private static double nd() throws IOException {
        return r.nextDouble();
    }

    private static String ns() throws IOException {
        return r.nextString();
    }

    private static int[] nextIntArr(int size) throws IOException {
        return r.nextIntArray(r, size);
    }

    private static long[] nextLongArr(int size) throws IOException {
        return r.nextLongArray(r, size);
    }

    private static double min(double a, double b) {
        return Math.min(a, b);
    }

    private static double max(double a, double b) {
        return Math.max(a, b);
    }


    // CODE STARTS HERE
    public static void main(String[] args) throws IOException {
        int T = ni();

        while (T-- > 0) {
            int a = ni();
            int b = ni();
            int p = ni();
            char[] s = ns().toCharArray();

            int res=1;
            int[] dp = new int[s.length];
            for (int i = s.length-1; i >=0 ; i--) {
                if (i==s.length-1)
                    dp[i]=0;
                else if (i==s.length-2)
                    dp[i]=s[i]=='A'?a:b;
                else {
                    if (s[i]==s[i+1])
                        dp[i]=dp[i+1];
                    else dp[i] = dp[i+1] + (s[i]=='A'?a:b);
                }

                if (dp[i]>p){
                    res = i+2;
                    break;
                }
            }
            System.out.println(res);
        }
    }
}
