Password Generator

Monocarp is going to register on the Codeforces website, but he can't come up with a sufficiently secure password. The requirements that his password must meet are as follows:

• the password must consist of digits, as well as uppercase and lowercase letters of the Latin alphabet;
• there must be exactly $a$ digits, exactly $b$ uppercase letters, and exactly $c$ lowercase letters;
• for security, no two adjacent characters in the password should be the same. The lowercase and uppercase versions of the same letter are considered different characters.

Write a program that generates a password that meets all the requirements.

Input

The first line contains a single integer $t$ ($1 \le t \le 1000$) — the number of test cases.

Each test case consists of one line containing three integers $a$, $b$, and $c$ ($1 \le a, b, c \le 10$).

Output

For each test case, output one line containing any suitable password. It can be shown that there is always at least one password that meets the requirements.

2
2 1 6
3 3 6

abaCaba42
b3sTpAs5w0rD