P11992 [AOJ] Dividing Students
普及
题目描述

At Aizu Shingakujuku, students are divided into classes by conducting a proficiency test when they enter the cram school. The test consists of three subjects: Mathematics, English, and Japanese, and students are divided into A, B, and C classes. The level of class A is the highest and then decreases in order.

The classification decision is based on the table below.

Condition Class
There are 100 subjects A
Average score of math and English is 90 points or more A
Average score of 3 subjects is 80 points or more A
Average score of 3 subjects is 70 points or more B
Average score of 3 subjects is 50 points or more and math or English is 80 points or more B
Does not meet the above conditions C

If you meet multiple conditions, you will be divided into higher level classes.

Number of students n (1 ≤ n ≤ 10000), math score pmi (0 ≤ pmi ≤ 100) for each student, English score pei (0 ≤ pei ≤ 100), national language score pji (0 ≤ pji ≤ 100) Create a program that outputs classes A, B, and C (half-width alphabetic characters) for each student.

Input

A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format:

n
pm1 pe1 pj1
pm2 pe2 pj2
::
pmn pen pjn

All inputs are given as integers. The number of datasets does not exceed 1000.

Output

Outputs each student's class in turn for each input dataset.

Example

Input

4
100 70 20
98 86 55
80 34 36
65 79 65
2
99 81 20
66 72 90
0

Output

A
A
B
C
A
B

输入格式

见题面

输出格式

见题面

样例输入
4 100 70 20 98 86 55 80 34 36 65 79 65 2 99 81 20 66 72 90 0
样例输出
A A B C A B