2010年Puzzleup数学竞赛−第09题: Multiplication

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Multiplication

You will carry out a multiplication that will implement the steps below:

• Place 9 of the 10 digits (0-9) on a 3×3 grid on the condition thatvertically or horizontally neighboring cells do not contain consecutivedigits.
• Delete the largest digit in every row.
• Multiply the remaining two-digit numbers formed (from left to right) in every row.

What is the largest product that can be generated through this multiplication?

Example:



If the numbers were placed as above, than the multiplication yields 24480 (10×72×34).