
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
The teacher drew 4 tables of size \(4 \times 4\) on the board. He called Albert, Bogdan, Vadim, and Denis to the board. Each of the boys chose one table. Albert and Bogdan simply colored some cells in their tables. Vadim colored only those cells in his table that were not colored both in Albert's and Bogdan's. Denis similarly colored only those cells in his table that were not colored both in Bogdan's and Vadim's.

The boys returned to their seats and the teacher saw these 4 tables on the board. Help the teacher determine which table belongs to whom.

1

 ![](https://cdn.mathpix.com/cropped/2024_05_06_ed8f792abd651132e9d3g-2.jpg?height=208&width=225&top_left_y=1329&top_left_x=162)

2

 ![](https://cdn.mathpix.com/cropped/2024_05_06_ed8f792abd651132e9d3g-2.jpg?height=208&width=212&top_left_y=1329&top_left_x=467)

3

 ![](https://cdn.mathpix.com/cropped/2024_05_06_ed8f792abd651132e9d3g-2.jpg?height=202&width=214&top_left_y=1332&top_left_x=771)

4

 ![](https://cdn.mathpix.com/cropped/2024_05_06_ed8f792abd651132e9d3g-2.jpg?height=208&width=224&top_left_y=1329&top_left_x=1067)

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