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: Wrong Answer)

#include<stdio.h>

int main(){
  int N = 0 ,i,j,k,tmp = 0;
  int tri[3] = {0,0,0};
  scanf("%d",&N);
  for(i=0;i<N;i++){
    scanf("%d %d %d",&tri[0],&tri[1],&tri[2]);
    for(j = 0;j <= 2;j++){
      for(k = j + 1;k <= 2;k++){
	tmp = tri[j];
	tri[j] = tri[k];
	tri[k] = tmp;
      }
    }
    if(tri[0] * tri[0] == tri[1] * tri[1] + tri[2] * tri[2]){
      printf("YES\n");
    }
    else{
      printf("NO\n");
    }
  }
  return 0;
}