## Problem of the Day #354: Making Consistent Grids
*March 7, 2012*

*Posted by Alex in : potd , trackback*

Find the number of ways to place $1$s, $0$s, and $-1$s on a $4 \times 4$ grid such that any path from the upper left corner to the bottom right corner that uses the minimum number of steps has the same sum.

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