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(void){
int i,a,b,c;
while(1){
scanf("%d %d",&a,&b);
if(a==0){
break;
}
c=a+b;
for(i=1;c>10;i++){
c=c/10;
}
printf("%d\n",i);
}
return(0);
}