
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 anticipation of the New Year, a school is holding a fair where students exchange holiday decorations. The following exchange rates have been established:

1 Christmas ornament can be exchanged for 2 crackers, 5 sparklers can be exchanged for 2 garlands, and 4 Christmas ornaments can be exchanged for 1 garland.

a) How many crackers can be obtained for 10 sparklers? (1 point)

b) Which is more valuable: 5 Christmas ornaments and 1 cracker, or 2 sparklers? (3 points)

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