Alice has a \(2\times 3\) chocolate bar. She wants to break it into 6 equal pieces by picking up every piece that is not size \(1\times 1\) and cutting it horizontally or vertically along the grid line into two pieces. One way to do it with 5 cuts is shown in the diagram below:

Is there a way that Alice can do it with **fewer** than 5 cuts?

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