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(undefined){
	'use strict';
	(function init() {
		this.output = function() {
			console.log.apply( console, arguments );
		};
		this.stdin = process.openStdin();
		stdin.setEncoding('utf8');
	}).call( this );
	(function solver(){
		var input_list = [];
		(function reciever() {
			stdin.on('data', function(chunk){
				var regexp = /\d+/g;
				var result = chunk.match(regexp);
				input_list = input_list.concat(result);
				setTimeout( solve, 0 );
			});
		})();
		function solve() {
			var a = parseInt( input_list.splice(0, 1)[0] );
			var b = parseInt( input_list.splice(0, 1)[0] );
			var sum = a + b;
			output( sum.toString().length );
			if ( input_list.length )
				setTimeout( solve, 0 );
		}
	})();
}).call(global);