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, i, j;
  int s[200], c[200];

  for(i = 0; i < 200; i++){
    scanf("%d %d", &a, &b);
    s[i] = a + b;
    for(j = 0; s[i] != 0; j++){
      c[i] = j;
    }
  }

  for(i = 0; i < 200; i++){
    printf("%d\n", c[i]);
  }
  return 0;
}