
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
Kelvin the Frog likes numbers whose digits strictly decrease, but numbers that violate this condition in at most one place are good enough. In other words, if  $d_i$  denotes the  $i$ th digit, then  $d_i\le d_{i+1}$  for at most one value of  $i$ . For example, Kelvin likes the numbers  $43210$ ,  $132$ , and  $3$ , but not the numbers  $1337$  and  $123$ . How many  $5$ -digit numbers does Kelvin like?

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