
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 $4 \times 4$ grid is divided into four $2 \times 2$ squares. Vika wrote in the cells of the grid 4 ones, 4 twos, 4 threes, and 4 fours such that in each row, each column, and each $2 \times 2$ square, all numbers are different.

A prankster named Andrey erased some of the numbers. Help Vika determine in which cells the fours were located.

- In row $A$, the four is located
- In row $B$, the four is located
- In row $C$, the four is located
- In row $D$, the four is located
- in column 1.
- in column 2.
- in column 3.
- in column 4.

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