Write a program which computes the digit number of sum of two integers `a` and `b`.

There are several test cases. Each test case consists of two non-negative integers `a` and *b* which are separeted by a space in a line. The input terminates with EOF.

- 0 ≤
`a`,`b`≤ 1,000,000 - The number of datasets ≤ 200

Print the number of digits of `a` + `b` for each data set.

5 7 1 99 1000 999

2 3 4

Source: PC Koshien 2003
, All-Japan High School Programming Contest, Aizu-Wakamatsu, Japan, 2003

http://www.pref.fukushima.jp/pc-concours/

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