You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category.

Ex Input:
Two letters picked without replacement from {z: 7, a: 6, r: 1, y: 4, j: 2}. What is prob of sequence az?

Ex Output:
probability


Ex Input:
Add 0.2 and 52.3.

Ex Output:
arithmetic


Ex Input:
Three letters picked without replacement from {i: 10, r: 4, c: 1, u: 2, t: 1}. Give prob of sequence itc.

Ex Output:

probability