
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
Stem-and-leaf plot. For representing whole numbers or decimal fractions, a special type of stem-and-leaf diagram is often used. Such diagrams are convenient for depicting the ages of people. Suppose that in the studied group, there are 5 people aged 19, 34, 37, 42, and 48. For this group, the diagram will look like the one shown in Fig. 2. The left column is the "stem," and the leaves go to the right of it.

On December 1, a doctor created a stem-and-leaf plot of the ages of a certain group of patients (shown in Fig. 3a). In Fig. 3b, a new diagram of their ages was created on December 1 after several years had passed. Over these years, the group remained the same—everyone who was in the group remained, and no new members joined. However, the numbers on the new diagram are obscured with asterisks. Determine how many years have passed, and restore the diagram.

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