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: Accepted)

function Main(input) {
    lines=input.split("\n");
    for(i in lines){
	if(lines[i]=="")break;
	n=lines[i].split(" ").map(function(x){return x-0;});
	sum=n[0]+n[1];
	console.log(sum.toString().length);
    }
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));