
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
How many ways can change be made for 50 cents using standard U.S. coins, but without using more than one type of any coin? Coins include pennies, nickels, dimes and quarters. (Exclude the combinations of "1 half dollar" or "2 quarters").

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