
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
A problem recorded by the Southern Song Dynasty mathematician Yang Hui in his "Xugu Zhai Ji Suan Fa" goes as follows: "When divided by 2, the remainder is 1; when divided by 5, the remainder is 2; when divided by 7, the remainder is 3; and when divided by 9, the remainder is 4. What is the original number?"
In modern terms, "Find the smallest natural number that leaves a remainder of 1 when divided by 2, a remainder of 2 when divided by 5, a remainder of 3 when divided by 7, and a remainder of 4 when divided by 9." Please write the smallest natural number that satisfies these conditions here: $\qquad$

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