
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Medical research shows that height is hereditary to a certain extent, so the height of adult children can be predicted based on the height of their parents. The calculation method is as follows: the height of a son is $=\frac{1}{2}$ (father's height $+$ mother's height) $\times 1.08$; the height of a daughter is $=\frac{1}{2}$ (father's height $\times 0.923$ $+$ mother's height).  
$(1)$ If the heights of a pair of parents are $m$ meters and $n$ meters respectively, please predict the heights of their son and daughter when they grow up (expressed in algebraic expressions, no need to simplify);  
$(2)$ Xiao Ming's (male) father is $1.8$ meters tall, and his mother is $1.6$ meters tall. Please predict Xiao Ming's height when he grows up.

Present the answer in LaTex format: \boxed{Your answer}
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