
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 that there is 1 path from point A to the first red arrow, 2 paths from the first red arrow to the second red arrow, 3 paths from the first red arrow to each of the first two blue arrows, 4 paths from the second red arrow to each of the first two blue arrows, 5 paths from each of the first two blue arrows to each of the first two green arrows, 6 paths from each of the third and fourth blue arrows to each of the first two green arrows, 3 paths from each green arrow to point B, and 4 paths from each green arrow to point C, calculate the total number of distinct paths to reach points B and C.

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