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 caculateNumber(a, b) {
  var sumNumber;
  sumNumber = (a + b).toString();
  var i = 0;
  while (typeof sumNumber[i] != 'undefined') {
    i++;
  }
  return console.log(i);
};
caculateNumber(1, 99);