
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
On a table lies an orange, a banana, a mandarin, a peach, and an apple. Their weights are 100 g, 150 g, 170 g, 200 g, and 280 g, but it is unknown which fruit weighs how much.

It is known that:

- The peach is lighter than the orange.
- The banana is heavier than the apple but lighter than the peach.
- The mandarin is lighter than the banana.
- The apple and banana together are heavier than the orange.

Determine the weight of each fruit.

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