Codeforces 196D Lexicographically Maximum Subsequence（模拟+哈希）

You've got string s, consisting of only lowercase English letters. Find its lexicographically maximum subsequence.

We'll call a non-empty string s[p₁p₂... p_k] = s_p1s_p2... s_pk(1 ≤ p₁ < p₂ < ... < p_k ≤ |s|) a subsequence of string s = s₁s₂... s_|s|.

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 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 lines are compared like their ASCII codes.

Input

The single line contains a non-empty string s, consisting only of lowercase English letters. The string's length doesn't exceed 10⁵.

Output

Print the lexicographically maximum subsequence of string s.

Example

Input

ababba

Output

bbba

Input

abbcbccacbbcbaaba

Output

cccccbba

Note

Let's look at samples and see what the sought subsequences look like (they are marked with uppercase bold letters).

The first sample: aBaBBA

The second sample: abbCbCCaCbbCBaaBA

题解：

很简单的一题，直接从最大的那个字符开始输出，用哈希存一下这之后所有字符的情况，每次直到最大的才输出就好了

代码：

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