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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The remainders when three positive integers are divided by 5 are 1, 2, and 3.  Find the remainder when their product is divided by 5.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
The remainders when three positive integers are divided by 5 are 1, 2, and 3.  Find the remainder when their product is divided by 5.
train