You are given the strings a and b, consisting of lowercase Latin letters. You can do any number of the following operations in any order: 

  * if |a| > 0 (the length of the string a is greater than zero), delete the first character of the string a, that is, replace a with a_2 a_3 … a_n; 
  * if |a| > 0, delete the last character of the string a, that is, replace a with a_1 a_2 … a_{n-1}; 
  * if |b| > 0 (the length of the string b is greater than zero), delete the first character of the string b, that is, replace b with b_2 b_3 … b_n; 
  * if |b| > 0, delete the last character of the string b, that is, replace b with b_1 b_2 … b_{n-1}. 



Note that after each of the operations, the string a or b may become empty.

For example, if a="hello" and b="icpc", then you can apply the following sequence of operations: 

  * delete the first character of the string a ⇒ a="ello" and b="icpc"; 
  * delete the first character of the string b ⇒ a="ello" and b="cpc"; 
  * delete the first character of the string b ⇒ a="ello" and b="pc"; 
  * delete the last character of the string a ⇒ a="ell" and b="pc"; 
  * delete the last character of the string b ⇒ a="ell" and b="p". 



For the given strings a and b, find the minimum number of operations for which you can make the strings a and b equal. Note that empty strings are also equal.

Input

The first line contains a single integer t (1 ≤ t ≤ 100). Then t test cases follow.

The first line of each test case contains the string a (1 ≤ |a| ≤ 20), consisting of lowercase Latin letters.

The second line of each test case contains the string b (1 ≤ |b| ≤ 20), consisting of lowercase Latin letters.

Output

For each test case, output the minimum number of operations that can make the strings a and b equal.

Example

Input


5
a
a
abcd
bc
hello
codeforces
hello
helo
dhjakjsnasjhfksafasd
adjsnasjhfksvdafdser


Output


0
2
13
3
20


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

import static java.lang.Math.*;

public class TP {

    public static PrintWriter out;
    public static FastReader in;


    public static void main(String[] args) throws IOException {
        long s = System.currentTimeMillis();
        in = new FastReader();
        out = new PrintWriter(System.out);
//        out = new PrintWriter(new BufferedWriter(new FileWriter("whereami.out")));
        int t = 1;
        t = ni();
        while (t-- > 0) solve(1);
        out.flush();
        tr(System.currentTimeMillis() - s + "ms");
    }


    private static void solve() {
        int n = ni();
        int[] a = na(n);
        int[] cnt = uc(a);
        if (cnt.length == 1) {
            System.out.println(cnt[0]);
            return;
        }
        boolean ok = true;
        for (int i = 0; i < cnt.length - 1 && ok; i++) {
            ok = cnt[i] == cnt[i + 1];
        }
        if (ok) {
            System.out.println(0);
            return;
        }
        Arrays.sort(cnt);
        cnt = reverse(cnt);
        for (int i = 0; i < cnt.length - 1; i++) {
            cnt[i + 1] = Math.abs(cnt[i] - cnt[i + 1]);
        }
        System.out.println(cnt[cnt.length - 1]);
    }

    static int[] reverse(int a[]) {
        int n = a.length;
        int[] b = new int[n];
        int j = n;
        for (int i = 0; i < n; i++) {
            b[j - 1] = a[i];
            j = j - 1;
        }
        return b;
    }

    private static int[] uc(int[] a) {
        HashMap<Integer, Integer> map = new HashMap<>();
        for (int x : a) {
            map.putIfAbsent(x, 0);
            map.put(x, map.get(x) + 1);
        }
        int[] a1 = new int[map.size()];
        int i = 0;
        for (int c : map.values()) a1[i++] = c;
        return a1;
    }

    private static void solve(int i) {
        char[] s = ns().toCharArray();
        char[] t = ns().toCharArray();
        int lcs = lcs(s, t, s.length, t.length);
        System.out.println(s.length + t.length - 2 * lcs);
    }

    static int lcs(char[] X, char[] Y, int m, int n) {
        int LCStuff[][] = new int[m + 1][n + 1];

        // To store length of the longest
        // common substring
        int result = 0;

        // Following steps build
        // LCSuff[m+1][n+1] in bottom up fashion
        for (int i = 0; i <= m; i++) {
            for (int j = 0; j <= n; j++) {
                if (i == 0 || j == 0)
                    LCStuff[i][j] = 0;
                else if (X[i - 1] == Y[j - 1]) {
                    LCStuff[i][j]
                            = LCStuff[i - 1][j - 1] + 1;
                    result = Integer.max(result,
                            LCStuff[i][j]);
                } else
                    LCStuff[i][j] = 0;
            }
        }
        return result;
    }

    /* Utility function to get max of 2 integers */
    static int max(int a, int b) {
        return Math.max(a, b);
    }


    private static int check2(char[] s, char[] t, int i, int j) {
        while (i >= 0 && j >= 0 && s[i] == t[j]) {
            i--;
            j--;
        }
        return i + j + 2;
    }

    private static int check(char[] s, char[] t, int i, int j) {
        int n = s.length, m = t.length;
        while (i < n && j < m && s[i] == t[j]) {
            i++;
            j++;
        }
        return n - i + m - j;
    }


    private static boolean equal(char[] a, char[] b, int i, int j, int x, int y) {
        if (j - i != y - x) return false;
        while (i <= j) {
            if (a[i] != b[x]) return false;
            x++;
            i++;
        }
        return true;
    }

    private static void print(int[] a) {
        for (int x : a) out.print(x + " ");
        out.println();
    }

    public static int lowerBound(int[] a, int v) {
        int low = -1, high = a.length;
        while (high - low > 1) {
            int h = high + low >>> 1;
            if (a[h] >= v) {
                high = h;
            } else {
                low = h;
            }
        }
        return high;
    }

    private static boolean sorted(char[] a) {
        for (int i = 0; i < a.length - 1; i++) {
            if (a[i] > a[i + 1]) return false;
        }
        return true;
    }


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

    public static int[][] enumPrimesAndLPF(int n) {
        int[] lpf = new int[n + 1];
        double lu = Math.log(n + 32);

        int tot = 0;
        int[] primes = new int[(int) ((n + 32) / lu + (n + 32) / lu / lu * 1.5)];

        for (int i = 2; i <= n; i++) {
            lpf[i] = i;
        }

        for (int p = 2, tmp; p <= n; p++) {
            if (lpf[p] == p) {
                primes[tot++] = p;
            }
            for (int i = 0; i < tot && primes[i] <= lpf[p] && (tmp = primes[i] * p) <= n; i++) {
                lpf[tmp] = primes[i];
            }
        }

        return new int[][]{Arrays.copyOf(primes, tot), lpf};
    }

    static boolean isPrime(int n) {
        for (int i = 2; i * i <= n; i++) if (n % i == 0) return false;
        return true;
    }

    static boolean sorted(int[] a) {
        for (int i = 0; i < a.length - 1; i++) {
            if (a[i] > a[i + 1]) return false;
        }
        return true;
    }

    public static long gcd(long a, long b) {
        while (b != 0) {
            a %= b;
            long t = a;
            a = b;
            b = t;
        }
        return a;
    }

    private static int ni() {
        return in.nextInt();
    }

    private static String ns() {
        return in.next();
    }

    private static int[] na(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++) a[i] = ni();
        return a;
    }

    private static long[] nal(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++) a[i] = nl();
        return a;
    }

    private static long nl() {
        return in.nextLong();
    }

    private float nf() {
        return (float) in.nextDouble();
    }

    private static double nd() {
        return in.nextDouble();
    }

    public static int[] facs(int n, int[] primes) {
        int[] ret = new int[9];
        int rp = 0;
        for (int p : primes) {
            if (p * p > n) break;
            int i;
            i = 0;
            while (n % p == 0) {
                n /= p;
                i++;
            }
            if (i > 0) ret[rp++] = p;
        }
        if (n != 1) ret[rp++] = n;
        return Arrays.copyOf(ret, rp);
    }

    public static int[] sieveEratosthenes(int n) {
        if (n <= 32) {
            int[] primes = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};
            for (int i = 0; i < primes.length; i++) {
                if (n < primes[i]) {
                    return Arrays.copyOf(primes, i);
                }
            }
            return primes;
        }

        int u = n + 32;
        double lu = Math.log(u);
        int[] ret = new int[(int) (u / lu + u / lu / lu * 1.5)];
        ret[0] = 2;
        int pos = 1;

        int[] isnp = new int[(n + 1) / 32 / 2 + 1];
        int sup = (n + 1) / 32 / 2 + 1;

        int[] tprimes = {3, 5, 7, 11, 13, 17, 19, 23, 29, 31};
        for (int tp : tprimes) {
            ret[pos++] = tp;
            int[] ptn = new int[tp];
            for (int i = (tp - 3) / 2; i < tp << 5; i += tp) ptn[i >> 5] |= 1 << (i & 31);
            for (int j = 0; j < sup; j += tp) {
                for (int i = 0; i < tp && i + j < sup; i++) {
                    isnp[j + i] |= ptn[i];
                }
            }
        }

        // 3,5,7
        // 2x+3=n
        int[] magic = {
                0, 1, 23, 2, 29, 24, 19, 3, 30, 27, 25, 11, 20, 8, 4, 13, 31, 22, 28, 18, 26, 10, 7, 12, 21,
                17, 9, 6, 16, 5, 15, 14
        };
        int h = n / 2;
        for (int i = 0; i < sup; i++) {
            for (int j = ~isnp[i]; j != 0; j &= j - 1) {
                int pp = i << 5 | magic[(j & -j) * 0x076be629 >>> 27];
                int p = 2 * pp + 3;
                if (p > n) break;
                ret[pos++] = p;
                if ((long) p * p > n) continue;
                for (int q = (p * p - 3) / 2; q <= h; q += p) isnp[q >> 5] |= 1 << q;
            }
        }

        return Arrays.copyOf(ret, pos);
    }


    private static final boolean oj = System.getProperty("ONLINE_JUDGE") != null;

    private static void tr(Object... o) {
        if (!oj) System.out.println(Arrays.deepToString(o));
    }

    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() throws FileNotFoundException {
            br = new BufferedReader(new InputStreamReader(System.in));
//            br = new BufferedReader(new FileReader("whereami.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());
        }
    }

    static class Pair<K, V> {
        private K key;
        private V value;

        public Pair(K key, V value) {
            this.key = key;
            this.value = value;
        }

        public K getKey() {
            return key;
        }

        public V getValue() {
            return value;
        }

        public void setKey(K key) {
            this.key = key;
        }

        public void setValue(V value) {
            this.value = value;
        }

    }
}
