
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
Consider a grid with dimensions such that Alice can move only south or east to travel from point $A$ (top-left corner) to point $B$ (bottom-right corner). The grid is of size 5 rows (south movements) and 7 columns (east movements). However, there are blocked paths: from the second column of the fourth row to the second column of the fifth row, and from the seventh column of the second row to the seventh column of the third row. Calculate the total number of paths Alice can take from $A$ to $B$ avoiding these blocked segments.

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