Problem: This is the easy version of the problem. The difference is the constraint on the sum of lengths of strings and the number of test cases. You can make hacks only if you solve all versions of this task.

You are given a string s, consisting of lowercase English letters. Find the longest string, t, which satisfies the following conditions: 

  * The length of t does not exceed the length of s. 
  * t is a palindrome. 
  * There exists two strings a and b (possibly empty), such that t = a + b ( "+" represents concatenation), and a is prefix of s while b is suffix of s. 

Input

The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000), the number of test cases. The next t lines each describe a test case.

Each test case is a non-empty string s, consisting of lowercase English letters.

It is guaranteed that the sum of lengths of strings over all test cases does not exceed 5000.

Output

For each test case, print the longest string which satisfies the conditions described above. If there exists multiple possible solutions, print any of them.

Example

Input


5
a
abcdfdcecba
abbaxyzyx
codeforces
acbba


Output


a
abcdfdcba
xyzyx
c
abba

Note

In the first test, the string s = "a" satisfies all conditions.

In the second test, the string "abcdfdcba" satisfies all conditions, because:

  * Its length is 9, which does not exceed the length of the string s, which equals 11. 
  * It is a palindrome. 
  * "abcdfdcba" = "abcdfdc" + "ba", and "abcdfdc" is a prefix of s while "ba" is a suffix of s. 



It can be proven that there does not exist a longer string which satisfies the conditions.

In the fourth test, the string "c" is correct, because "c" = "c" + "" and a or b can be empty. The other possible solution for this test is "s".

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Mehrama Nair
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        D2PrefixSuffixPalindromeHardVersion solver = new D2PrefixSuffixPalindromeHardVersion();
        solver.solve(1, in, out);
        out.close();
    }

    static class D2PrefixSuffixPalindromeHardVersion {
        public void solve(int testNumber, InputReader c, OutputWriter w) {
            int tc = c.readInt();
            while (tc-- > 0) {
                char[] ss = c.readString().toCharArray();
                int n = ss.length;
                int rr = 0;
                int l = -1, r = -1;
                boolean nn = true;
                for (int i = 0; i < n; i++) {
                    if (i > (n - i - 1)) {
                        break;
                    }
                    if (ss[i] != ss[n - i - 1]) {
                        nn = false;
                        int match = -1;
                        long ha1 = 0, ha2 = 0, hr1 = 0, hr2 = 0;
                        long m1 = 1, m2 = 1;
                        long mod1 = (long) (1e9 + 7), mod2 = (998244353);
                        int base1 = 26, base2 = 26;
                        for (int j = i; j < n - i - 1; j++) {
                            ha1 = (ha1 + m1 * ss[j]) % mod1;
                            ha2 = (ha2 + m2 * ss[j]) % mod2;

                            hr1 = (ss[j] + base1 * hr1) % mod1;
                            hr2 = (ss[j] + base2 * hr2) % mod2;

                            m1 *= base1;
                            m1 %= mod1;
                            m2 *= base2;
                            m2 %= mod2;

                            if (ha1 == hr1 && ha2 == hr2) {
                                match = j;
                            }
                        }
                        if (match != -1) {
                            rr = match + 1 + i;
                            l = match;
                            r = n - i;
                        }

                        match = -1;
                        ha1 = 0;
                        ha2 = 0;
                        hr1 = 0;
                        hr2 = 0;
                        m1 = 1;
                        m2 = 1;
                        for (int j = n - i - 1; j > i; j--) {
                            ha1 = (ha1 + m1 * ss[j]) % mod1;
                            ha2 = (ha2 + m2 * ss[j]) % mod2;

                            hr1 = (ss[j] + base1 * hr1) % mod1;
                            hr2 = (ss[j] + base2 * hr2) % mod2;

                            m1 *= base1;
                            m1 %= mod1;
                            m2 *= base2;
                            m2 %= mod2;

                            if (ha1 == hr1 && ha2 == hr2) {
                                match = j;
                            }
                        }
                        if (match != -1) {
                            int le = i + n - match;
//                        w.printLine(le,match);
                            if (rr < le) {
                                rr = le;
                                l = i - 1;
                                r = match;
                            }
                        }
                        break;
                    }
                }
                if (nn) {
                    w.printLine(new String(ss));
                } else {
                    for (int i = 0; i <= l; i++) {
                        w.print(ss[i]);
                    }
                    for (int i = r; i < n; i++) {
                        w.print(ss[i]);
                    }
                    w.printLine();
                }
            }
        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void print(Object... objects) {
            for (int i = 0; i < objects.length; i++) {
                if (i != 0) {
                    writer.print(' ');
                }
                writer.print(objects[i]);
            }
        }

        public void printLine() {
            writer.println();
        }

        public void printLine(Object... objects) {
            print(objects);
            writer.println();
        }

        public void print(char i) {
            writer.print(i);
        }

        public void close() {
            writer.close();
        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int readInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            StringBuilder res = new StringBuilder();
            do {
                if (Character.isValidCodePoint(c)) {
                    res.appendCodePoint(c);
                }
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }
}