You like playing chess tournaments online.

In your last tournament you played n games. For the sake of this problem, each chess game is either won or lost (no draws). When you lose a game you get 0 points. When you win you get 1 or 2 points: if you have won also the previous game you get 2 points, otherwise you get 1 point. If you win the very first game of the tournament you get 1 point (since there is not a "previous game").

The outcomes of the n games are represented by a string s of length n: the i-th character of s is W if you have won the i-th game, while it is L if you have lost the i-th game.

After the tournament, you notice a bug on the website that allows you to change the outcome of at most k of your games (meaning that at most k times you can change some symbol L to W, or W to L). Since your only goal is to improve your chess rating, you decide to cheat and use the bug.

Compute the maximum score you can get by cheating in the optimal way.

Input

Each test contains multiple test cases. The first line contains an integer t (1≤ t ≤ 20,000) — the number of test cases. The description of the test cases follows.

The first line of each testcase contains two integers n, k (1≤ n≤ 100,000, 0≤ k≤ n) – the number of games played and the number of outcomes that you can change.

The second line contains a string s of length n containing only the characters W and L. If you have won the i-th game then s_i= W, if you have lost the i-th game then s_i= L.

It is guaranteed that the sum of n over all testcases does not exceed 200,000.

Output

For each testcase, print a single integer – the maximum score you can get by cheating in the optimal way.

Example

Input


8
5 2
WLWLL
6 5
LLLWWL
7 1
LWLWLWL
15 5
WWWLLLWWWLLLWWW
40 7
LLWLWLWWWLWLLWLWWWLWLLWLLWLLLLWLLWWWLWWL
1 0
L
1 1
L
6 1
WLLWLW


Output


7
11
6
26
46
0
1
6

Note

Explanation of the first testcase. Before changing any outcome, the score is 2. Indeed, you won the first game, so you got 1 point, and you won also the third, so you got another 1 point (and not 2 because you lost the second game).

An optimal way to cheat is to change the outcomes of the second and fourth game. Doing so, you end up winning the first four games (the string of the outcomes becomes WWWWL). Hence, the new score is 7=1+2+2+2: 1 point for the first game and 2 points for the second, third and fourth game.

Explanation of the second testcase. Before changing any outcome, the score is 3. Indeed, you won the fourth game, so you got 1 point, and you won also the fifth game, so you got 2 more points (since you won also the previous game).

An optimal way to cheat is to change the outcomes of the first, second, third and sixth game. Doing so, you end up winning all games (the string of the outcomes becomes WWWWWW). Hence, the new score is 11 = 1+2+2+2+2+2: 1 point for the first game and 2 points for all the other games.


import java.io.*;
import java.util.*;
import java.util.stream.IntStream;

import static java.lang.Math.*;
import static java.util.Arrays.*;

@SuppressWarnings("ALL")
public class TaskB {
    public static void main(String[] $) throws IOException {
        TaskB o = new TaskB();
        o.main();
        out.flush();
        out.close();
    }

    void main() throws IOException {
        int T = in.ri();
        while (T-- > 0) {
            in.r();
            int N = in.ni();
            int K = in.ni();
            String s = in.rline();
            /*int[] gaps = new int[N];
            int nGaps = 0;
            int wins = 0;
            int curGap = 0;
            for (int i = 0; i < N; i++) {
                if (s.charAt(i) == 'W') {
                    wins++;
                    if (curGap != 0 && curGap != i) {
                        gaps[nGaps++] = curGap;
                    }
                    curGap = 0;
                } else {
                    ++curGap;
                }
            }
            if (wins + K == 0) {
                out.prln(0);
            } else if (wins + K >= N) {
                out.prln((2 * N) - 1);
            } else {
                ssort(gaps, nGaps);
                int closeGaps = 0;
                while (closeGaps < nGaps && K >= gaps[closeGaps]) {
                    K -= gaps[closeGaps];
                    wins += gaps[closeGaps];
                    ++closeGaps;
                }
                out.prln(2 * (wins + K) - 1 - (nGaps - closeGaps));
            }*/
            int wins = 0;
            for (char ch : s.toCharArray()) {
                if (ch == 'W') wins++;
            }

            if (wins == 0) {
                out.prln(mathx.maxof(2 * K - 1, 0));
                continue;
            }
            wins += K;

            if (wins >= N) {
                out.prln(2 * N - 1);
                continue;
            }

            int loss = 0;
            ArrayList<Integer> lossStreak = new ArrayList<>();
            for (int i = 0; i < N; i++) {
                if (s.charAt(i) == 'L') loss++;
                else {
                    lossStreak.add(loss);
                    loss = 0;
                }
            }
            if (loss != 0) lossStreak.add(loss);
            if (s.charAt(0) == 'L') lossStreak.remove(0);
            if (s.charAt(N - 1) == 'L') lossStreak.remove( lossStreak.size() - 1);
            Collections.sort(lossStreak);
            int sp = 0;
            int i;
            for (i = 0; i < lossStreak.size(); i++) {
                if (sp + lossStreak.get(i) > K) {
                    break;
                }
                sp += lossStreak.get(i);
            }
            int wl = lossStreak.size() - i;
            out.prln(2 * wins - wl - 1);
        }
    }

   /*static void ssort(int a[], int n) {
        if (n == 0) {
            return;
        }
        for (int i = 1; i < n; i++) {
            int j = i;
            int ca = a[i];
            do {
                int nj = (j - 1) >> 1;
                int na = a[nj];
                if (ca <= na) {
                    break;
                }
                a[j] = na;
                j = nj;
            } while (j != 0);
            a[j] = ca;
        }
        int ca = a[0];
        for (int i = n - 1; i > 0; i--) {
            int j = 0;
            while ((j << 1) + 2 + Integer.MIN_VALUE < i + Integer.MIN_VALUE) {
                j <<= 1;
                j += (a[j + 2] > a[j + 1]) ? 2 : 1;
            }
            if ((j << 1) + 2 == i) {
                j = (j << 1) + 1;
            }
            int na = a[i];
            a[i] = ca;
            ca = na;
            while (j != 0 && a[j] < ca) {
                j = (j - 1) >> 1;
            }
            while (j != 0) {
                na = a[j];
                a[j] = ca;
                ca = na;
                j = (j - 1) >> 1;
            }
        }
        a[0] = ca;
    }*/

    static BufferedReader __in = new BufferedReader(new InputStreamReader(System.in));
    static PrintWriter __out = new PrintWriter(new OutputStreamWriter(System.out));
    static StringTokenizer input;
    static Random __rand = new Random();
    // constants
    static final int IBIG = 1000000007;
    static final int IMAX = 2147483647;
    static final int IMIN = -2147483648;
    static final long LMAX = 9223372036854775807L;
    static final long LMIN = -9223372036854775808L;

    //Fast Reader Class
    /*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;
        }
    }*/

    //Input fxs
    static class in {
        // input
        static void r() throws IOException {
            input = new StringTokenizer(rline());
        }

        static int ri() throws IOException {
            return Integer.parseInt(rline());
        }

        static long rl() throws IOException {
            return Long.parseLong(rline());
        }

        static double rd() throws IOException {
            return Double.parseDouble(rline());
        }

        static int[] ria(int n) throws IOException {
            int[] a = new int[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = ni();
            return a;
        }

        static int[] riam1(int n) throws IOException {
            int[] a = new int[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = ni() - 1;
            return a;
        }

        static long[] ria1i(long n) throws IOException {
            long[] a = new long[(int) n + 1];
            r();
            for (int i = 1; i <= n; i++) a[i] = nl();
            return a;
        }

        static long[] rla(int n) throws IOException {
            long[] a = new long[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = nl();
            return a;
        }

        static double[] rda(int n) throws IOException {
            double[] a = new double[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = nd();
            return a;
        }

        static char[] rcha() throws IOException {
            return rline().toCharArray();
        }

        static ArrayList<Integer> riaa(int n) throws IOException {
            ArrayList<Integer> a = new ArrayList<>();
            r();
            for (int i = 0; i < n; i++) a.add(ni());
            return a;
        }

        static String rline() throws IOException {
            return __in.readLine();
        }

        static String n() {
            return input.nextToken();
        }

        static int rni() throws IOException {
            r();
            return ni();
        }

        static int ni() {
            return Integer.parseInt(n());
        }

        static long rnl() throws IOException {
            r();
            return nl();
        }

        static long nl() {
            return Long.parseLong(n());
        }

        static double rnd() throws IOException {
            r();
            return nd();
        }

        static double nd() {
            return Double.parseDouble(n());
        }

        static List<List<Integer>> rg(int n, int m) throws IOException {
            List<List<Integer>> g = GR.g(n);
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rg(List<List<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
        }

        static List<List<Integer>> rdg(int n, int m) throws IOException {
            List<List<Integer>> g = GR.g(n);
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rdg(List<List<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
        }

        static List<Set<Integer>> rsg(int n, int m) throws IOException {
            List<Set<Integer>> g = GR.sg(n);
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rsg(List<Set<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
        }

        static List<Set<Integer>> rdsg(int n, int m) throws IOException {
            List<Set<Integer>> g = GR.sg(n);
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rdsg(List<Set<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
        }

        static int[][] rim(int n, int m) throws IOException {
            int[][] a = new int[n][m];
            for (int i = 0; i < n; i++) {
                in.r();
                for (int j = 0; j < m; j++) {
                    a[i][j] = in.ni();
                }
            }
            return a;
        }
    }

    //Output fxs
    static class out {
        // output
        static void pr(int i) {
            __out.print(i);
        }

        static void prln(int i) {
            __out.println(i);
        }

        static void pr(long l) {
            __out.print(l);
        }

        static void prln(long l) {
            __out.println(l);
        }

        static void pr(double d) {
            __out.print(d);
        }

        static void prln(double d) {
            __out.println(d);
        }

        static void pr(char c) {
            __out.print(c);
        }

        static void prln(char c) {
            __out.println(c);
        }

        static void pr(char[] s) {
            __out.print(new String(s));
        }

        static void prln(char[] s) {
            __out.println(new String(s));
        }

        static void pr(String s) {
            __out.print(s);
        }

        static void prln(String s) {
            __out.println(s);
        }

        static void pr(Object o) {
            __out.print(o);
        }

        static void prln(Object o) {
            __out.println(o);
        }

        static void prln() {
            __out.println();
        }

        static void pryes() {
            prln("yes");
        }

        static void pry() {
            prln("Yes");
        }

        static void prY() {
            prln("YES");
        }

        static void prno() {
            prln("no");
        }

        static void prn() {
            prln("No");
        }

        static void prN() {
            prln("NO");
        }

        static void pryesno(boolean b) {
            prln(b ? "yes" : "no");
        }

        ;

        static void pryn(boolean b) {
            prln(b ? "Yes" : "No");
        }

        static void prYN(boolean b) {
            prln(b ? "YES" : "NO");
        }

        static void prln(int... a) {
            for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
            if (a.length > 0) prln(a[a.length - 1]);
            else prln();
        }

        static void prln(long... a) {
            for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
            if (a.length > 0) prln(a[a.length - 1]);
            else prln();
        }

        static void prln(double... a) {
            for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
            if (a.length > 0) prln(a[a.length - 1]);
            else prln();
        }

        static <T> void prln(Collection<T> c) {
            int n = c.size() - 1;
            Iterator<T> iter = c.iterator();
            for (int i = 0; i < n; pr(iter.next()), pr(' '), ++i) ;
            if (n >= 0) prln(iter.next());
            else prln();
        }

        static void h() {
            prln("hlfd");
            flush();
        }

        static void flush() {
            __out.flush();
        }

        static void close() {
            __out.close();
        }

        static void prM(int[][] a, int n, int m) {
            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++)
                    out.pr(a[i][j] + " ");
                out.prln();
            }
        }
    }

    //Math fxs
    static class mathx {
        // math util
        static int minof(int a, int b, int c) {
            return min(a, min(b, c));
        }

        static int minof(int... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return min(x[0], x[1]);
            if (x.length == 3) return min(x[0], min(x[1], x[2]));
            int min = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] < min) min = x[i];
            return min;
        }

        static long minof(long a, long b, long c) {
            return min(a, min(b, c));
        }

        static long minof(long... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return min(x[0], x[1]);
            if (x.length == 3) return min(x[0], min(x[1], x[2]));
            long min = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] < min) min = x[i];
            return min;
        }

        static int maxof(int a, int b, int c) {
            return max(a, max(b, c));
        }

        static int maxof(int... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return max(x[0], x[1]);
            if (x.length == 3) return max(x[0], max(x[1], x[2]));
            int max = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] > max) max = x[i];
            return max;
        }

        static long maxof(long a, long b, long c) {
            return max(a, max(b, c));
        }

        static long maxof(long... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return max(x[0], x[1]);
            if (x.length == 3) return max(x[0], max(x[1], x[2]));
            long max = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] > max) max = x[i];
            return max;
        }

        static int powi(int a, int b) {
            if (a == 0) return 0;
            int ans = 1;
            while (b > 0) {
                if ((b & 1) > 0) ans *= a;
                a *= a;
                b >>= 1;
            }
            return ans;
        }

        static long powl(long a, int b) {
            if (a == 0) return 0;
            long ans = 1;
            while (b > 0) {
                if ((b & 1) > 0) ans *= a;
                a *= a;
                b >>= 1;
            }
            return ans;
        }

        static int fli(double d) {
            return (int) d;
        }

        static int cei(double d) {
            return (int) ceil(d);
        }

        static long fll(double d) {
            return (long) d;
        }

        static long cel(double d) {
            return (long) ceil(d);
        }

        static int gcf(int a, int b) {
            return b == 0 ? a : gcf(b, a % b);
        }

        static long gcf(long a, long b) {
            return b == 0 ? a : gcf(b, a % b);
        }

        static int lcm(int a, int b) {
            return a * b / gcf(a, b);
        }

        static long lcm(long a, long b) {
            return a * b / gcf(a, b);
        }

        static int randInt(int min, int max) {
            return __rand.nextInt(max - min + 1) + min;
        }

        static long mix(long x) {
            x += 0x9e3779b97f4a7c15L;
            x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9L;
            x = (x ^ (x >> 27)) * 0x94d049bb133111ebL;
            return x ^ (x >> 31);
        }
    }

    //Array fxs
    static class ARR {
        // array util
        static void reverse(int[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                int swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void reverse(long[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                long swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void reverse(double[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                double swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void reverse(char[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                char swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void shuffle(int[] a) {
            int n = a.length - 1;
            for (int i = 0; i < n; ++i) {
                int ind = mathx.randInt(i, n);
                int swap = a[i];
                a[i] = a[ind];
                a[ind] = swap;
            }
        }

        static void shuffle(long[] a) {
            int n = a.length - 1;
            for (int i = 0; i < n; ++i) {
                int ind = mathx.randInt(i, n);
                long swap = a[i];
                a[i] = a[ind];
                a[ind] = swap;
            }
        }

        static void shuffle(double[] a) {
            int n = a.length - 1;
            for (int i = 0; i < n; ++i) {
                int ind = mathx.randInt(i, n);
                double swap = a[i];
                a[i] = a[ind];
                a[ind] = swap;
            }
        }

        static void rsort(int[] a) {
            shuffle(a);
            sort(a);
        }

        static void rsort(long[] a) {
            shuffle(a);
            sort(a);
        }

        static void rsort(double[] a) {
            shuffle(a);
            sort(a);
        }

        static int[] copy(int[] a) {
            int[] ans = new int[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }

        static long[] copy(long[] a) {
            long[] ans = new long[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }

        static double[] copy(double[] a) {
            double[] ans = new double[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }

        static char[] copy(char[] a) {
            char[] ans = new char[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }
    }

    //Graph fxs
    static class GR {
        // graph util
        static List<List<Integer>> g(int n) {
            List<List<Integer>> g = new ArrayList<>();
            for (int i = 0; i < n; ++i) g.add(new ArrayList<>());
            return g;
        }

        static List<Set<Integer>> sg(int n) {
            List<Set<Integer>> g = new ArrayList<>();
            for (int i = 0; i < n; ++i) g.add(new HashSet<>());
            return g;
        }

        static void c(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).add(v);
            g.get(v).add(u);
        }

        static void cto(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).add(v);
        }

        static void dc(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).remove(v);
            g.get(v).remove(u);
        }

        static void dcto(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).remove(v);
        }
    }

    //Utilsx class
    static class utilX {
        static int[] subsetSum(int[] nums) {
            int M = IntStream.of(nums).sum();
            int[] m = new int[M + 10];
            for (int i = 0; i < M + 10; i++) m[i] = 0;
            m[0] = 1;
            for (int num : nums) {
                for (int j = M; j >= num; j--) {
                    m[j] |= m[j - num];
                }
            }
            return m;
        }

        static int LIS(int[] nums) {
            int[] m = new int[nums.length];
            for (int i = nums.length - 1; i >= 0; i--) {
                m[i] = 1;
                for (int j = i + 1; j < nums.length; j++) {
                    if (nums[j] > nums[i]) {
                        m[i] = max(m[i], m[j] + 1);
                    }
                }
            }
            int ans = 0;
            for (int i = 0; i < nums.length; i++) {
                ans = max(ans, m[i]);
            }
            return ans;
        }
    }

    //Pair Class
    static class Pair<F, S> {
        public final F first;
        public final S second;

        public Pair(F first, S second) {
            this.first = first;
            this.second = second;
        }

        @Override
        public boolean equals(Object o) {
            if (!(o instanceof Pair)) {
                return false;
            }
            Pair<?, ?> p = (Pair<?, ?>) o;
            return Objects.equals(p.first, first) && Objects.equals(p.second, second);
        }
    }
}
