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 C++ (judge verdict: Time Limit Exceeded)

#include<iostream>

using namespace std;

int main()
{
	int a = 0, b = 0;
	int i = 1;
	
	cin >> a >> b;
	
	while((a + b) / 10)
		i++;
	
	cout << i << endl;
	
	return 0;
}