Solve the programming task below in a Python markdown code block.
On March 14, the day of the number $\pi$ is celebrated all over the world. This is a very important mathematical constant equal to the ratio of the circumference of a circle to its diameter.

Polycarp was told at school that the number $\pi$ is irrational, therefore it has an infinite number of digits in decimal notation. He wanted to prepare for the Day of the number $\pi$ by memorizing this number as accurately as possible.

Polycarp wrote out all the digits that he managed to remember. For example, if Polycarp remembered $\pi$ as $3.1415$, he wrote out 31415.

Polycarp was in a hurry and could have made a mistake, so you decided to check how many first digits of the number $\pi$ Polycarp actually remembers correctly.


-----Input-----

The first line of the input data contains the single integer $t$ ($1 \le t \le 10^3$) — the number of test cases in the test.

Each test case is described by a single string of digits $n$, which was written out by Polycarp.

The string $n$ contains up to $30$ digits.


-----Output-----

Output $t$ integers, each of which is the answer to the corresponding test case, that is how many first digits of the number $\pi$ Polycarp remembers correctly.


-----Examples-----

Input
9
000
3
4141592653
141592653589793238462643383279
31420
31415
314159265358
27182
314159265358979323846264338327
Output
0
1
0
0
3
5
12
0
30


-----Note-----

None