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: Wrong Answer)

function main( input )
{
  input = input.split("\n");

  for( var i = 0; i < input.length; ++i )
  {
    var ln = input[i].split(" ");

    var a = parseInt(ln.shift());
    var b = parseInt(ln.shift());

    console.log( (a+b).toString().length );
  }
}

main( require("fs").readFileSync( "/dev/stdin", "utf8" ) );