Dividing a String

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.

Examples

Input

aabbaa

Output

4

Input

aaaccacabaababc

Output

12

inputFormat

Input

Input is given from Standard Input in the following format:

S

outputFormat

Output

Print the maximum positive integer K that satisfies the condition.

Examples

Input

aabbaa

Output

4

Input

aaaccacabaababc

Output

12

样例

aaaccacabaababc

12