LLPS

2000ms

262144K

Description:

This problem's actual name, "Lexicographically Largest Palindromic Subsequence" is too long to fit into the page headline.

You are given string s consisting of lowercase English letters only. Find its lexicographically largest palindromic subsequence.

We'll call a non-empty string s[p₁p₂... p_k] = s_p₁s_p₂... s_{p_k} (1 ≤ p₁ < p₂ < ... < p_k ≤ |s|) a subsequence of string s = s₁s₂... s_|s|, where |s| is the length of string s. For example, strings "abcb", "b" and "abacaba" are subsequences of string "abacaba".

String x = x₁x₂... x_|x| is lexicographically larger than string y = y₁y₂... y_|y| if either |x| > |y| and x₁ = y₁, x₂ = y₂, ..., x_|y| = y_|y|, or there exists such number r (r < |x|, r < |y|) that x₁ = y₁, x₂ = y₂, ..., x_r = y_r and x_{r + 1} > y_{r + 1}. Characters in the strings are compared according to their ASCII codes. For example, string "ranger" is lexicographically larger than string "racecar" and string "poster" is lexicographically larger than string "post".

String s = s₁s₂... s_|s| is a palindrome if it matches string rev(s) = s_|s|s_|s| - 1... s₁. In other words, a string is a palindrome if it reads the same way from left to right and from right to left. For example, palindromic strings are "racecar", "refer" and "z".

Input:

The only input line contains a non-empty string s consisting of lowercase English letters only. Its length does not exceed 10.

Output:

Print the lexicographically largest palindromic subsequence of string s.

Sample Input:

radar

Sample Output:

rr

Sample Input:

bowwowwow

Sample Output:

wwwww

Sample Input:

codeforces

Sample Output:

Sample Input:

mississipp

Sample Output:

ssss

Note:

Among all distinct subsequences of string "radar" the following ones are palindromes: "a", "d", "r", "aa", "rr", "ada", "rar", "rdr", "raar" and "radar". The lexicographically largest of them is "rr".

Informação

Provedor Codeforces

Código CF202A