Problem:
Digit Number

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

Input

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.

Constraints

0 ≤ a, b ≤ 1,000,000

The number of datasets ≤ 200

Output

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

Sample Input

5 7
1 99
1000 999

Output for the Sample Input

2
3
4

Solution in JavaScript (judge verdict: Accepted)

process.stdin.on("data",function(c){
  (c+"").trim().split("\n").some(function(a){
    console.log((a.split(" ").reduce(function(x,y){return (+x)+(+y)})+"").length);
  });
}).resume();