
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
Given the sets A={x|x=2k-1, k∈N*} and B={x|x=8k-8, k∈N*}, take out m different elements from set A and denote their sum as S. Take out n different elements from set B and denote their sum as T. If S+T≤967, what is the maximum value of m+2n?

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