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(){
	while(1){
	
	int j,i;
	scanf("%d %d",&j,&i);
	j=i+j;
	for(i=1;j>1;){
		j=j/10;
//		printf("i=%d j=%d\n",i,j);
		i=i+1;
	}
	
	printf("%d\n",i);
		}
		return 0;
}