Partition Labels

Given a string S of lowercase English letters.

We want to partition this string into as many parts as possible so that each letter appears in at most one part, and return a list of integers representing the size of these parts.

Input

The input consists of one argument:

S: a string of lowercase letters

Output

Return a list of integers representing the size of these parts.

Note

  • S will have length in range [1, 500].

  • S will consist of lowercase English letters ('a' to 'z') only.

Examples

Example 1:

Input:

S = "ababcbacadefegdehijhklij"

Output: [9,7,8]

Explanation

The partition is ababcbaca, defegde, hijhklij.

This is a partition such that each letter appears in at most one part.

A partition like ababcbacadefegde, hijhklij is incorrect because it splits S into fewer parts.

Try it yourself

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