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<stdio.h>

int main(){

	int a, b, sum, ct;

		a = 0;
		b = 0;
		sum = 0;
		ct = 0;

	for(;scanf("%d %d", &a, &b);){

		sum = 0;
		ct = 0;

		sum = a + b;

		for(;;){
			sum = sum/10;
			ct += 1;
			if(sum == 0){
				printf("%d\n", ct);
				break;
			}
        }

    }

    return 0;

}