Problem: Given a string s, determine if it contains any palindrome of length exactly 100 as a subsequence. If it has any, print any one of them. If it doesn't have any, print a palindrome that is a subsequence of s and is as long as possible.

Input

The only line of the input contains one string s of length n (1 ≤ n ≤ 5·104) containing only lowercase English letters.

Output

If s contains a palindrome of length exactly 100 as a subsequence, print any palindrome of length 100 which is a subsequence of s. If s doesn't contain any palindromes of length exactly 100, print a palindrome that is a subsequence of s and is as long as possible.

If there exists multiple answers, you are allowed to print any of them.

Examples

Input

bbbabcbbb


Output

bbbcbbb


Input

rquwmzexectvnbanemsmdufrg


Output

rumenanemur

Note

A subsequence of a string is a string that can be derived from it by deleting some characters without changing the order of the remaining characters. A palindrome is a string that reads the same forward or backward.

Solution (in PYTHON):

Solution:
def p(a):
    n = len(a)
    dp = [''] * n
    for i in range(n-1, -1, -1):
        dp[i] = a[i]
        dpj = ''
        for j in range(i+1, n):
            dpj2 = dpj
            dpj = dp[j]
            if a[i] == a[j]:
                dp[j] = a[i] + dpj2 + a[i]
                if len(dp[j]) >= 100:
                    if len(dp[j]) == 101:
                        return dp[j][:50] + dp[j][51:]
                    else:
                        return dp[j]
            elif len(dp[j-1]) > len(dp[j]):
                dp[j] = dp[j-1]
    return dp[n-1]

print(p(raw_input()))