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, n;

  while(1) {
    int cnt = 0;
    scanf("%d %d", &a, &b);

    n = a + b;

    while(n > 9) {
      ++cnt;
      n /= 10;
    }

    printf("%d\n", cnt+1);
  }

  return 0;
}