Chips and their relationship

Some chips are placed in the squares of the 70 × 45 70×45 board. It turned out that all the chips on the board satisfy at least one of the two conditions:

  • There are no other chips in the row occupied by this chip;

  • There are no other chips in the column occupied by this chip;

Find the maximum possible number of chips that may be placed on the board under these conditions.


The answer is 113.

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