
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
Board with dimesions  $2018 \times 2018$  is divided in unit cells  $1 \times 1$ . In some cells of board are placed black chips and in some white chips (in every cell maximum is one chip). Firstly we remove all black chips from columns which contain white chips, and then we remove all white chips from rows which contain black chips. If  $W$  is number of remaining white chips, and  $B$  number of remaining black chips on board and  $A=min\{W,B\}$ , determine maximum of  $A$ 

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