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)

var input = ''

process.stdin.resume()
process.stdin.setEncoding('utf8')
process.stdin.on('data', function(chunk) {
  input += chunk
})
process.stdin.on('end', function() {
  input = input.split('\n')
  main()
})

function main() {
    for(i=0; i<input.length; i++) {
     input_line = input[i].split(' ')   
     sum = Number(input_line[0])+Number(input_line[1])
     console.log(String(sum).length);
    }
}