
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
In a sequence of positive integers starting from 1, some numbers are colored red according to the following rules: first color 1 red, then color the next 2 even numbers 2 and 4 red; next, color the 4 closest consecutive odd numbers after 4, which are 5, 7, 9, red; then color the 4 closest consecutive even numbers after 9, which are 10, 12, 14, 16, red; and so on, coloring the closest 5 consecutive odd numbers after 16, which are 17, 19, 21, 23, 25, red. Continue this pattern to get a red subsequence: 1, 2, 4, 5, 7, 9, 12, 14, 16, 17,…. The 57th number in this red subsequence, starting from 1, is.

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