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 Digit = {
  maxLines: 200,
  filePath: '/dev/stdin',
  isValid: function() {
    var flag = false, data = this.getFile();
    if(data.length > 200) {
      console.log('Max number of lines.');
    } else {
      for(k=0; k<data.length; k++) {
        var val = data[k].split(' ').map(Number)
          var res = val[0] + val[1];
          console.log((res+'').length);
      }
    }
  },
  isNumeric: function(n) {
    return !isNaN(parseFloat(n)) && isFinite(n);
  },
  getFile: function() {
    var input = require('fs').readFileSync(this.filePath, 'utf8');
    var lines = input.split('\n');
    return lines;
  }
}
Digit.isValid();