# 2568. Sum of digit

Write a program which computes the digit number of sum of two integers $a$ and $b$.

### 输入格式

The first line of input gives the number of cases, $N(1 \leqslant N \leqslant 100)$. $N$ test cases follow.

Each test case consists of two integers $a$ and $b$ which are separeted by a space in a line. $(0 \leqslant a,b \leqslant 100000000)$.

### 输出格式

For each test case, print the number of digits of $a + b$.

### 样例

Input
3
5 7
1 99
1000 999

Output
2
3
4


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