
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

In a grid containing 50 by 50 points, each point has been colored either blue or red. Line segments of the same color as the points connect the points that are directly next to or directly below each other, while black line segments connect points of different colors. There were 1510 blue points, with 110 of them on the edge and none at the corners. The total number of red line segments among the points is 947. How many black and blue line segments did we draw?

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