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, c;
  int keta;

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