CF1790A Polycarp and the Day of Pi

Description

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 Format

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 Format

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.