
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 grasshopper is jumping about in a grid. From the point with coordinates  $(a, b)$  it can jump to either  $(a + 1, b),(a + 2, b),(a + 1, b + 1),(a, b + 2)$  or  $(a, b + 1)$ . In how many ways can it reach the line  $x + y = 2014?$   Where the grasshopper starts in  $(0, 0)$ .

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