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AMC 8 2026 (Problem 12)

In the figure below, each circle will be filled with a digit from 1 to 6. Each digit must appear exactly once. The sum of the digits in neighboring circles is shown in the box between them. What digit must be placed in the top circle?
Six circles arranged in a triangular pattern with sums between neighboring circles
(A)  2\text{(A)}\;2(B)  3\text{(B)}\;3(C)  4\text{(C)}\;4(D)  5\text{(D)}\;5(E)  it is impossible to fill the circles\text{(E)}\;\text{it is impossible to fill the circles}