
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
Josh writes the numbers $1,2,3,\dots,50$. He marks out $1$, skips the next $2$ numbers $(2, 3)$, marks out $4$, and continues skipping $2$ and marking out the next number to the end of the list. Then he reverts to the start of his list, marks out the first remaining number, skips the next $3$ numbers, marks out the fifth number, and continues this pattern to the end. Josh repeats this procedure, each time increasing the number of skips by $1$ more than the last pass until only one number remains. Determine the remaining number.

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