
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
Given the sets $M={-1,0,1},N={2,3,4,5}$, and a mapping $f:M→N$, such that for any $x∈M$, $x+f(x)+xf(x)$ is an odd number. The number of such mappings $f$ is \_\_\_\_\_\_.

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