Just to help you out a little, here are the sizes of all the answers: 4, 60, 44, 14, 44, 20, 69*, 20, 90, 540, 1722, 1089, 0, 4, 32, 304, 206, 603, 118, 2.6470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117..., 3.
Signs left as an exercise to the reader.
*nice