A9304. George and Number

George is a cat, so he really likes to play. Most of all he likes to play with his array of positive integers $b$ . During the game, George modifies the array by using special changes. Let's mark George's current array as $b_{1},b_{2},...,b_{|b|}$ (record $|b|$ denotes the current length of the array). Then one change is a sequence of actions:

- Choose two distinct indexes $i$ and $j$ $(1<=i,j<=|b|; i≠j)$ , such that $b_{i}>=b_{j}$ .
- Get number $v=concat(b_{i},b_{j})$ , where $concat(x,y)$ is a number obtained by adding number $y$ to the end of the decimal record of number $x$ . For example, $concat(500,10)=50010$ , $concat(2,2)=22$ .
- Add number $v$ to the end of the array. The length of the array will increase by one.
- Remove from the array numbers with indexes $i$ and $j$ . The length of the array will decrease by two, and elements of the array will become re-numbered from $1$ to current length of the array.

George played for a long time with his array $b$ and received from array $b$ an array consisting of exactly one number $p$ . Now George wants to know: what is the maximum number of elements array $b$ could contain originally? Help him find this number. Note that originally the array could contain only positive integers.

The first line of the input contains a single integer $p$ ( $1<=p<10^{100000}$ ). It is guaranteed that number $p$ doesn't contain any leading zeroes.

Print an integer — the maximum number of elements array $b$ could contain originally.

Let's consider the test examples:

- Originally array $b$ can be equal to ${5,9,5,5}$ . The sequence of George's changes could have been: ${5,9,5,5}→{5,5,95}→{95,55}→{9555}$ .
- Originally array $b$ could be equal to ${1000000000,5}$ . Please note that the array $b$ cannot contain zeros.
- Originally array $b$ could be equal to ${800,10,1}$ .
- Originally array $b$ could be equal to ${45}$ . It cannot be equal to ${4,5}$ , because George can get only array ${54}$ from this array in one operation.

Note that the numbers can be very large.