<|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
 susan made a block with small cubes of 8 cubic cm volume to make a block, 4 small cubes long, 10 small cubes wide, and 7 small cubes deep. She realizes that she has used more small cubes than she really needed. She discovered that she could have glued a fewer number of cubes together to create a hollow block with the same outer dimensions but having an irregularly shaped hollow core. What is the minimum number of cubes that she needs to make the block with the irregularly shaped hollow core? 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
200
susan made a block with small cubes of 8 cubic cm volume to make a block, 4 small cubes long, 10 small cubes wide, and 7 small cubes deep. She realizes that she has used more small cubes than she really needed. She discovered that she could have glued a fewer number of cubes together to create a hollow block with the same outer dimensions but having an irregularly shaped hollow core. What is the minimum number of cubes that she needs to make the block with the irregularly shaped hollow core?
test