<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Let the expression x # y # z denote the product of the consecutive multiples of 3 between x and y, and between y and z, inclusive. What is the sum of the exponents in the prime factorization of 21 # 30 # 36 with the constraint that the sum of exponents of all prime factors other than 3 must be even? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
16
Let the expression x # y # z denote the product of the consecutive multiples of 3 between x and y, and between y and z, inclusive. What is the sum of the exponents in the prime factorization of 21 # 30 # 36 with the constraint that the sum of exponents of all prime factors other than 3 must be even?
test