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) {
    input = input.split("\n");
    input.push("EOF");
    for(var i=0;input[i]!="EOF";i++){
    	if(input[i].length>2){
    		num = input[i].split(" ");
    		console.log(Str(Int(num[0])+Int(num[1])).length);
    	}
    }
}
//??°????????????????????¢??°??¨(??????)
function ascendingOrder(val1,val2){
    return val1 - val2;
}
//??°????????????????????¢??°??¨(??????)
function descendingOrder(val1,val2){
    return val2 - val1;
}
//??°??????
function Int(str){
    return parseInt(str, 10);
}
//????????????
function Str(num){
    return num.toString(10);
}


//???????????°??¨
function debug(){
	var input = document.getElementById("input").value;
	Main(input);
}

//?????????????????\??????????????????
Main(require("fs").readFileSync("/dev/stdin", "utf8"));