Score : 300 points

Problem Statement

Given is a string S consisting of lowercase English letters. Find the maximum positive integer K that satisfies the following condition:

  • There exists a partition of S into K non-empty strings S=S_1S_2...S_K such that S_i \neq S_{i+1} (1 \leq i \leq K-1).

Here S_1S_2...S_K represents the concatenation of S_1,S_2,...,S_K in this order.

Constraints

  • 1 \leq |S| \leq 2 \times 10^5
  • S consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S

Output

Print the maximum positive integer K that satisfies the condition.

Sample Input 1

aabbaa

Sample Output 1

4

We can, for example, divide S into four strings aa, b, ba, and a.

Sample Input 2

aaaccacabaababc

Sample Output 2

12