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;
 while(scanf("%d %d ",&a,&b)){
  a+=b;
  b=0;
  while(a>0){
   b++;
   a/=10;
  }
  printf("%d\n",(b?b:1));
 }



 return 0;
}