Problem: In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF.

You are given two strings s1, s2 and another string called virus. Your task is to find the longest common subsequence of s1 and s2, such that it doesn't contain virus as a substring.

Input

The input contains three strings in three separate lines: s1, s2 and virus (1 ≤ |s1|, |s2|, |virus| ≤ 100). Each string consists only of uppercase English letters.

Output

Output the longest common subsequence of s1 and s2 without virus as a substring. If there are multiple answers, any of them will be accepted. 

If there is no valid common subsequence, output 0.

Examples

Input

AJKEQSLOBSROFGZ
OVGURWZLWVLUXTH
OZ


Output

ORZ


Input

AA
A
A


Output

0

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

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

    static class BLuckyCommonSubsequence {
        int[] pi;
        char[] first;
        char[] second;
        char[] virus;
        StringBuilder sb;
        int[][][] memo;

        void prefixFunction(char[] s) {
            int n = s.length;
            pi = new int[n];
            for (int i = 1, j = 0; i < n; ++i)        //j = pi[i-1] at the beginning of every iteration
            {
                while (j > 0 && s[i] != s[j])
                    j = pi[j - 1];
                if (s[i] == s[j])
                    ++j;
                pi[i] = j;
            }
        }

        public void solve(int testNumber, Scanner sc, PrintWriter pw) {
            first = sc.next().toCharArray();
            second = sc.next().toCharArray();
            virus = sc.next().toCharArray();
            prefixFunction(virus);
            memo = new int[first.length][second.length][virus.length];
            for (int[][] x : memo)
                for (int[] y : x)
                    Arrays.fill(y, -1);
            sb = new StringBuilder();
            if (dp(0, 0, 0) > 0) {
                trace(0, 0, 0);
                pw.println(sb);
            } else
                pw.println("0");
        }

        private void trace(int i, int j, int comm) {
            if (i == first.length || j == second.length)
                return;
            int opt = dp(i, j, comm);
            if (first[i] == second[j]) {
                if (virus[comm] == first[i]) {
                    if (opt == 1 + dp(i + 1, j + 1, comm + 1)) {
                        sb.append(first[i]);
                        trace(i + 1, j + 1, comm + 1);
                        return;
                    }
                } else {
                    if (comm == 0 && opt == 1 + dp(i + 1, j + 1, 0)) {
                        sb.append(first[i]);
                        trace(i + 1, j + 1, 0);
                        return;
                    } else {
                        int next = comm;
                        while (next != 0 && virus[next] != first[i])
                            next = pi[next - 1];
                        if (virus[next] == first[i])
                            next++;
                        if (1 + dp(i + 1, j + 1, next) == opt) {
                            sb.append(first[i]);
                            trace(i + 1, j + 1, next);
                            return;
                        }
                    }
                }
            }
            if (opt == dp(i + 1, j, comm)) {
                trace(i + 1, j, comm);
            } else
                trace(i, j + 1, comm);
        }

        private int dp(int i, int j, int comm) {
            if (comm == virus.length)
                return -(int) 1e9;
            if (i == first.length || j == second.length)
                return 0;
            if (memo[i][j][comm] != -1)
                return memo[i][j][comm];
            int max = Integer.MIN_VALUE;
            if (first[i] == second[j]) {
                if (virus[comm] == first[i]) {
                    max = 1 + dp(i + 1, j + 1, comm + 1);
                } else {
                    if (comm == 0) {
                        max = 1 + dp(i + 1, j + 1, 0);
                    } else {
                        int next = comm;
                        while (next != 0 && virus[next] != first[i])
                            next = pi[next - 1];
                        if (virus[next] == first[i])
                            next++;
                        max = 1 + dp(i + 1, j + 1, next);
                    }
                }
            }
            max = Math.max(max, Math.max(dp(i + 1, j, comm), dp(i, j + 1, comm)));
            return memo[i][j][comm] = max;
        }

    }

    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(InputStream s) {
            br = new BufferedReader(new InputStreamReader(s));
        }

        public String next() {
            try {
                while (st == null || !st.hasMoreTokens())
                    st = new StringTokenizer(br.readLine());
                return st.nextToken();
            } catch (Exception e) {
                throw new RuntimeException(e);
            }
        }

    }
}