
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
Emma received a certain number of coins from her parents. On her way to school, she lost exactly one-third of them. By retracing her steps, she then managed to find exactly two-thirds of the coins she had lost. What fraction of the coins that she initially received from her parents was still missing after she retraced her steps?

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