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 pairs = [];

process.stdin.resume();
process.stdin.setEncoding('utf8');

process.stdin.on('data', function(input){
    input.trim().split('\n').forEach(function(line){
        pairs.push(line.split(' '));
    });
});

process.stdin.on('end', function(){
    for (var i in pairs){
        console.log(pairs[i][0] * pairs[i][1])
    };
});