
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
A  $5$ -digit number (in base  $10$ ) has digits  $k, k + 1, k + 2, 3k, k + 3$  in that order, from left to right. If this number is  $m^2$  for some natural number  $m$ , find the sum of the digits of  $m$ .

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