
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
The integer  $ 9$  can be written as a sum of two consecutive integers:  $ 9 \equal{} 4\plus{}5.$  Moreover, it can be written as a sum of (more than one) consecutive positive integers in exactly two ways:  $ 9 \equal{} 4\plus{}5 \equal{} 2\plus{}3\plus{}4.$  Is there an integer that can be written as a sum of  $ 1990$  consecutive integers and that can be written as a sum of (more than one) consecutive positive integers in exactly  $ 1990$  ways?

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