Question 116
Some cells of a $200 \times 200$ checkered square contain red or blue tokens — one per cell; the other cells are empty. We say that a token *sees* another token if they are situated either in one row or in one column. Assume that each red token sees exactly five blue tokens (and, perhaps, some red tokens), and each blue token sees exactly five red tokens (and, perhaps, some blue tokens). Determine the maximal possible total number of tokens on the board.