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 a,b,sum,digit;
  while(1){
    digit=0;
    scanf("%d",&a);
    scanf("%d",&b);
    sum=a+b;
    while(sum!=0){
      sum/=10;
      digit++;
    }
    printf("%d\n",digit);
  }
  return 0;
}