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;
  int sum;
  int keta;
  while(1)
  {
   scanf("%d %d",&a,&b);
  
   for(sum=a+b,keta=1;sum/10!=0;sum/=10)keta++;

   printf("%d\n",keta);
  
  }
 return 0;
}