Find the greatest integer less than $10.3^3$ without using a calculator.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the greatest integer less than $10.3^3$ without using a calculator.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1092
Find the greatest integer less than $10.3^3$ without using a calculator.
train