Problem

2016 AMC 12B Problem 12

All the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in a 3\times3 array of squares, one number in each square, in such a way that if two numbers are consecutive then they occupy squares that share an edge. The numbers in the four corners add up to 18. What is the number in the center?

\textbf{(A)}\ 5\qquad\textbf{(B)}\ 6\qquad\textbf{(C)}\ 7\qquad\textbf{(D)}\ 8\qquad\textbf{(E)}\ 9


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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