
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 grid of points with 10 rows and 10 columns is given. Each point is colored either red or blue. Whenever two points of the same color are adjacent in the same row or column, they are connected by a segment of the same color as the points. If two adjacent points are of different colors, they are connected by a green segment. In total, there are 52 red points. Of these red points, 2 are in the corners and 16 are on the grid's edge. The rest of the red points are inside the grid.

There are 98 green segments. Determine the number of blue segments.

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