
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
The old rich man divided all his silver dollars among his four sons before he passed away. The eldest son received 1/4 of all the silver dollars plus an additional silver dollar given to the maid; the second son received 1/4 of the remaining silver dollars plus an additional silver dollar given to the maid; the third son received 1/4 of the remaining silver dollars plus an additional silver dollar given to the maid; the fourth son received 1/4 of the remaining silver dollars plus an additional silver dollar given to the maid; the remaining silver dollars were then divided into four equal parts, with each son receiving one part, and an additional silver dollar was given to the maid. The question is, what is the minimum number of silver dollars the old rich man must have had to distribute them accordingly?

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