x1 x2 + x3 x4 x1 x2 + x3 x4 + 1 x1 x2 + x3 x4 + x1 x1 x2 + x3 x4 + x1 + 1 x1 x2 + x3 x4 + x2 x1 x2 + x3 x4 + x2 + 1 x1 x2 + x3 x4 + x3 x1 x2 + x3 x4 + x3 + 1 x1 x2 + x3 x4 + x4 x1 x2 + x3 x4 + x4 + 1 x1 x2 + x3 x4 + x1 + x2 x1 x2 + x3 x4 + x1 + x2 + 1 x1 x2 + x3 x4 + x1 + x3 x1 x2 + x3 x4 + x1 + x3 + 1 x1 x2 + x3 x4 + x1 + x4 x1 x2 + x3 x4 + x1 + x4 + 1 x1 x2 + x3 x4 + x2 + x3 x1 x2 + x3 x4 + x2 + x3 + 1 x1 x2 + x3 x4 + x2 + x4 x1 x2 + x3 x4 + x2 + x4 + 1 x1 x2 + x3 x4 + x3 + x4 x1 x2 + x3 x4 + x3 + x4 + 1 x1 x2 + x3 x4 + x1 + x2 + x3 x1 x2 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x3 x4 + x1 + x3 + x4 x1 x2 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x3 x4 + x1 + x2 + x4 x1 x2 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x3 x4 + x2 + x3 + x4 x1 x2 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x3 + x2 x4 x1 x3 + x2 x4 + 1 x1 x3 + x2 x4 + x1 x1 x3 + x2 x4 + x1 + 1 x1 x3 + x2 x4 + x2 x1 x3 + x2 x4 + x2 + 1 x1 x3 + x2 x4 + x3 x1 x3 + x2 x4 + x3 + 1 x1 x3 + x2 x4 + x4 x1 x3 + x2 x4 + x4 + 1 x1 x3 + x2 x4 + x1 + x2 x1 x3 + x2 x4 + x1 + x2 + 1 x1 x3 + x2 x4 + x1 + x3 x1 x3 + x2 x4 + x1 + x3 + 1 1

x1 x3 + x2 x4 + x1 + x4 x1 x3 + x2 x4 + x1 + x4 + 1 x1 x3 + x2 x4 + x2 + x3 x1 x3 + x2 x4 + x2 + x3 + 1 x1 x3 + x2 x4 + x2 + x4 x1 x3 + x2 x4 + x2 + x4 + 1 x1 x3 + x2 x4 + x3 + x4 x1 x3 + x2 x4 + x3 + x4 + 1 x1 x3 + x2 x4 + x1 + x2 + x3 x1 x3 + x2 x4 + x1 + x2 + x3 + 1 x1 x3 + x2 x4 + x1 + x3 + x4 x1 x3 + x2 x4 + x1 + x3 + x4 + 1 x1 x3 + x2 x4 + x1 + x2 + x4 x1 x3 + x2 x4 + x1 + x2 + x4 + 1 x1 x3 + x2 x4 + x2 + x3 + x4 x1 x3 + x2 x4 + x2 + x3 + x4 + 1 x1 x3 + x2 x4 + x1 + x2 + x3 + x4 x1 x3 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 x1 x4 + x2 x3 + 1 x1 x4 + x2 x3 + x1 x1 x4 + x2 x3 + x1 + 1 x1 x4 + x2 x3 + x2 x1 x4 + x2 x3 + x2 + 1 x1 x4 + x2 x3 + x3 x1 x4 + x2 x3 + x3 + 1 x1 x4 + x2 x3 + x4 x1 x4 + x2 x3 + x4 + 1 x1 x4 + x2 x3 + x1 + x2 x1 x4 + x2 x3 + x1 + x2 + 1 x1 x4 + x2 x3 + x1 + x3 x1 x4 + x2 x3 + x1 + x3 + 1 x1 x4 + x2 x3 + x1 + x4 x1 x4 + x2 x3 + x1 + x4 + 1 x1 x4 + x2 x3 + x2 + x3 x1 x4 + x2 x3 + x2 + x3 + 1 x1 x4 + x2 x3 + x2 + x4 x1 x4 + x2 x3 + x2 + x4 + 1 x1 x4 + x2 x3 + x3 + x4 x1 x4 + x2 x3 + x3 + x4 + 1 x1 x4 + x2 x3 + x1 + x2 + x3 x1 x4 + x2 x3 + x1 + x2 + x3 + 1 x1 x4 + x2 x3 + x1 + x3 + x4 x1 x4 + x2 x3 + x1 + x3 + x4 + 1 x1 x4 + x2 x3 + x1 + x2 + x4 x1 x4 + x2 x3 + x1 + x2 + x4 + 1 2

x1 x4 + x2 x3 + x2 + x3 + x4 x1 x4 + x2 x3 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x1 + x2 + x3 + x4 x1 x4 + x2 x3 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 x1 x2 + x1 x4 + x2 x3 + 1 x1 x2 + x1 x4 + x2 x3 + x1 x1 x2 + x1 x4 + x2 x3 + x1 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x1 x2 + x1 x4 + x2 x3 + x2 + 1 x1 x2 + x1 x4 + x2 x3 + x3 x1 x2 + x1 x4 + x2 x3 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x4 x1 x2 + x1 x4 + x2 x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x2 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x3 x1 x2 + x1 x4 + x2 x3 + x1 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x4 x1 x2 + x1 x4 + x2 x3 + x1 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 + x3 x1 x2 + x1 x4 + x2 x3 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 + x4 x1 x2 + x1 x4 + x2 x3 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + x3 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x1 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + x4 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x1 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 x1 x3 + x1 x4 + x2 x3 + 1 x1 x3 + x1 x4 + x2 x3 + x1 x1 x3 + x1 x4 + x2 x3 + x1 + 1 x1 x3 + x1 x4 + x2 x3 + x2 x1 x3 + x1 x4 + x2 x3 + x2 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x1 x3 + x1 x4 + x2 x3 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x4 x1 x3 + x1 x4 + x2 x3 + x4 + 1 3

x1 x3 + x1 x4 + x2 x3 + x1 + x2 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + 1 x1 x3 + x1 x4 + x2 x3 + x1 + x3 x1 x3 + x1 x4 + x2 x3 + x1 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x1 + x4 x1 x3 + x1 x4 + x2 x3 + x1 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x2 + x3 x1 x3 + x1 x4 + x2 x3 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x2 + x4 x1 x3 + x1 x4 + x2 x3 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x1 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x1 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x4 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x4 x1 x2 + x1 x3 + x2 x4 + 1 x1 x2 + x1 x3 + x2 x4 + x1 x1 x2 + x1 x3 + x2 x4 + x1 + 1 x1 x2 + x1 x3 + x2 x4 + x2 x1 x2 + x1 x3 + x2 x4 + x2 + 1 x1 x2 + x1 x3 + x2 x4 + x3 x1 x2 + x1 x3 + x2 x4 + x3 + 1 x1 x2 + x1 x3 + x2 x4 + x4 x1 x2 + x1 x3 + x2 x4 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x1 + x2 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + 1 x1 x2 + x1 x3 + x2 x4 + x1 + x3 x1 x2 + x1 x3 + x2 x4 + x1 + x3 + 1 x1 x2 + x1 x3 + x2 x4 + x1 + x4 x1 x2 + x1 x3 + x2 x4 + x1 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x2 + x3 x1 x2 + x1 x3 + x2 x4 + x2 + x3 + 1 x1 x2 + x1 x3 + x2 x4 + x2 + x4 x1 x2 + x1 x3 + x2 x4 + x2 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x3 + x4 x1 x2 + x1 x3 + x2 x4 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + x3 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + x3 + 1 4

x1 x2 + x1 x3 + x2 x4 + x1 + x3 + x4 x1 x2 + x1 x3 + x2 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + x4 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x2 + x3 + x4 x1 x2 + x1 x3 + x2 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 x1 x3 + x1 x4 + x2 x4 + 1 x1 x3 + x1 x4 + x2 x4 + x1 x1 x3 + x1 x4 + x2 x4 + x1 + 1 x1 x3 + x1 x4 + x2 x4 + x2 x1 x3 + x1 x4 + x2 x4 + x2 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x1 x3 + x1 x4 + x2 x4 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x4 x1 x3 + x1 x4 + x2 x4 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x2 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x3 x1 x3 + x1 x4 + x2 x4 + x1 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x4 x1 x3 + x1 x4 + x2 x4 + x1 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x2 + x3 x1 x3 + x1 x4 + x2 x4 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x2 + x4 x1 x3 + x1 x4 + x2 x4 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x1 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x4 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 x1 x3 + x2 x3 + x2 x4 + 1 x1 x3 + x2 x3 + x2 x4 + x1 x1 x3 + x2 x3 + x2 x4 + x1 + 1 x1 x3 + x2 x3 + x2 x4 + x2 x1 x3 + x2 x3 + x2 x4 + x2 + 1 5

x1 x3 + x2 x3 + x2 x4 + x3 x1 x3 + x2 x3 + x2 x4 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x4 x1 x3 + x2 x3 + x2 x4 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x2 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x3 x1 x3 + x2 x3 + x2 x4 + x1 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x4 x1 x3 + x2 x3 + x2 x4 + x1 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x2 + x3 x1 x3 + x2 x3 + x2 x4 + x2 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x2 + x4 x1 x3 + x2 x3 + x2 x4 + x2 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x1 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x4 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x2 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x2 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 x1 x4 + x2 x3 + x2 x4 + 1 x1 x4 + x2 x3 + x2 x4 + x1 x1 x4 + x2 x3 + x2 x4 + x1 + 1 x1 x4 + x2 x3 + x2 x4 + x2 x1 x4 + x2 x3 + x2 x4 + x2 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x1 x4 + x2 x3 + x2 x4 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x4 x1 x4 + x2 x3 + x2 x4 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x2 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x3 x1 x4 + x2 x3 + x2 x4 + x1 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x4 x1 x4 + x2 x3 + x2 x4 + x1 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x2 + x3 x1 x4 + x2 x3 + x2 x4 + x2 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x2 + x4 x1 x4 + x2 x3 + x2 x4 + x2 + x4 + 1 6

x1 x4 + x2 x3 + x2 x4 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x1 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x4 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x2 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x3 x4 x1 x2 + x1 x3 + x3 x4 + 1 x1 x2 + x1 x3 + x3 x4 + x1 x1 x2 + x1 x3 + x3 x4 + x1 + 1 x1 x2 + x1 x3 + x3 x4 + x2 x1 x2 + x1 x3 + x3 x4 + x2 + 1 x1 x2 + x1 x3 + x3 x4 + x3 x1 x2 + x1 x3 + x3 x4 + x3 + 1 x1 x2 + x1 x3 + x3 x4 + x4 x1 x2 + x1 x3 + x3 x4 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x2 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x3 x1 x2 + x1 x3 + x3 x4 + x1 + x3 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x4 x1 x2 + x1 x3 + x3 x4 + x1 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x2 + x3 x1 x2 + x1 x3 + x3 x4 + x2 + x3 + 1 x1 x2 + x1 x3 + x3 x4 + x2 + x4 x1 x2 + x1 x3 + x3 x4 + x2 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x3 + x4 x1 x2 + x1 x3 + x3 x4 + x3 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + x3 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x3 + x4 x1 x2 + x1 x3 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + x4 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x2 + x3 + x4 x1 x2 + x1 x3 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x3 x4 x1 x2 + x1 x4 + x3 x4 + 1 7

x1 x2 + x1 x4 + x3 x4 + x1 x1 x2 + x1 x4 + x3 x4 + x1 + 1 x1 x2 + x1 x4 + x3 x4 + x2 x1 x2 + x1 x4 + x3 x4 + x2 + 1 x1 x2 + x1 x4 + x3 x4 + x3 x1 x2 + x1 x4 + x3 x4 + x3 + 1 x1 x2 + x1 x4 + x3 x4 + x4 x1 x2 + x1 x4 + x3 x4 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x2 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x3 x1 x2 + x1 x4 + x3 x4 + x1 + x3 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x4 x1 x2 + x1 x4 + x3 x4 + x1 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x2 + x3 x1 x2 + x1 x4 + x3 x4 + x2 + x3 + 1 x1 x2 + x1 x4 + x3 x4 + x2 + x4 x1 x2 + x1 x4 + x3 x4 + x2 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x3 + x4 x1 x2 + x1 x4 + x3 x4 + x3 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + x3 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x3 + x4 x1 x2 + x1 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + x4 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x2 + x3 + x4 x1 x2 + x1 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x2 x3 + x3 x4 x1 x2 + x2 x3 + x3 x4 + 1 x1 x2 + x2 x3 + x3 x4 + x1 x1 x2 + x2 x3 + x3 x4 + x1 + 1 x1 x2 + x2 x3 + x3 x4 + x2 x1 x2 + x2 x3 + x3 x4 + x2 + 1 x1 x2 + x2 x3 + x3 x4 + x3 x1 x2 + x2 x3 + x3 x4 + x3 + 1 x1 x2 + x2 x3 + x3 x4 + x4 x1 x2 + x2 x3 + x3 x4 + x4 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x2 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x3 x1 x2 + x2 x3 + x3 x4 + x1 + x3 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x4 x1 x2 + x2 x3 + x3 x4 + x1 + x4 + 1 8

x1 x2 + x2 x3 + x3 x4 + x2 + x3 x1 x2 + x2 x3 + x3 x4 + x2 + x3 + 1 x1 x2 + x2 x3 + x3 x4 + x2 + x4 x1 x2 + x2 x3 + x3 x4 + x2 + x4 + 1 x1 x2 + x2 x3 + x3 x4 + x3 + x4 x1 x2 + x2 x3 + x3 x4 + x3 + x4 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + x3 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x3 + x4 x1 x2 + x2 x3 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + x4 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x2 x3 + x3 x4 + x2 + x3 + x4 x1 x2 + x2 x3 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x2 x4 + x3 x4 x1 x2 + x2 x4 + x3 x4 + 1 x1 x2 + x2 x4 + x3 x4 + x1 x1 x2 + x2 x4 + x3 x4 + x1 + 1 x1 x2 + x2 x4 + x3 x4 + x2 x1 x2 + x2 x4 + x3 x4 + x2 + 1 x1 x2 + x2 x4 + x3 x4 + x3 x1 x2 + x2 x4 + x3 x4 + x3 + 1 x1 x2 + x2 x4 + x3 x4 + x4 x1 x2 + x2 x4 + x3 x4 + x4 + 1 x1 x2 + x2 x4 + x3 x4 + x1 + x2 x1 x2 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x2 + x2 x4 + x3 x4 + x1 + x3 x1 x2 + x2 x4 + x3 x4 + x1 + x3 + 1 x1 x2 + x2 x4 + x3 x4 + x1 + x4 x1 x2 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x2 + x2 x4 + x3 x4 + x2 + x3 x1 x2 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x2 + x2 x4 + x3 x4 + x2 + x4 x1 x2 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x2 + x2 x4 + x3 x4 + x3 + x4 x1 x2 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x2 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x2 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x2 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x2 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x2 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 9

x1 x2 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x3 + x2 x4 + x3 x4 x1 x3 + x2 x4 + x3 x4 + 1 x1 x3 + x2 x4 + x3 x4 + x1 x1 x3 + x2 x4 + x3 x4 + x1 + 1 x1 x3 + x2 x4 + x3 x4 + x2 x1 x3 + x2 x4 + x3 x4 + x2 + 1 x1 x3 + x2 x4 + x3 x4 + x3 x1 x3 + x2 x4 + x3 x4 + x3 + 1 x1 x3 + x2 x4 + x3 x4 + x4 x1 x3 + x2 x4 + x3 x4 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x2 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x3 x1 x3 + x2 x4 + x3 x4 + x1 + x3 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x4 x1 x3 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x2 + x3 x1 x3 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x3 + x2 x4 + x3 x4 + x2 + x4 x1 x3 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x3 + x4 x1 x3 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x3 x4 x1 x4 + x2 x3 + x3 x4 + 1 x1 x4 + x2 x3 + x3 x4 + x1 x1 x4 + x2 x3 + x3 x4 + x1 + 1 x1 x4 + x2 x3 + x3 x4 + x2 x1 x4 + x2 x3 + x3 x4 + x2 + 1 x1 x4 + x2 x3 + x3 x4 + x3 x1 x4 + x2 x3 + x3 x4 + x3 + 1 x1 x4 + x2 x3 + x3 x4 + x4 x1 x4 + x2 x3 + x3 x4 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x1 + x2 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + 1 10

x1 x4 + x2 x3 + x3 x4 + x1 + x3 x1 x4 + x2 x3 + x3 x4 + x1 + x3 + 1 x1 x4 + x2 x3 + x3 x4 + x1 + x4 x1 x4 + x2 x3 + x3 x4 + x1 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x2 + x3 x1 x4 + x2 x3 + x3 x4 + x2 + x3 + 1 x1 x4 + x2 x3 + x3 x4 + x2 + x4 x1 x4 + x2 x3 + x3 x4 + x2 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x3 + x4 x1 x4 + x2 x3 + x3 x4 + x3 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 + 1 x1 x4 + x2 x3 + x3 x4 + x1 + x3 + x4 x1 x4 + x2 x3 + x3 x4 + x1 + x3 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x4 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x2 + x3 + x4 x1 x4 + x2 x3 + x3 x4 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x3 + x4 + 1 11

x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 x1 x2 + x1 x3 + x1 x4 + x2 x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x3 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x3 + 1 12

x1 x2 + x1 x3 + x1 x4 + x2 x4 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x3 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x3 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + x3 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x3 + x4 + 1 13

x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x2 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x3 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x3 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + x3 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + x3 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x1 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + 1 14

x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x3 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x3 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + x3 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + x3 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x3 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x3 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x3 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + x3 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + x3 + 1 15

x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x3 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x3 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x3 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x3 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 16

x1 x3 + x1 x4 + x2 x4 + x3 x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x3 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x3 + x1 x4 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x3 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x3 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + 1 17

x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x3 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x3 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 18

x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x3 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x3 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x2 + x3 + x4 + 1 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 x1 x4 + x2 x3 + x2 x4 + x3 x4 + x1 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x4 + 1 19

x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + x3 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + x3 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x2 + x3 + x4 + 1 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + x3 + x4 x1 x2 + x1 x4 + x2 x3 + x2 x4 + x1 x3 + x3 x4 + x1 + x2 + x3 + x4 + 1

20

x1x2 + x3x4 x1x2 + x3x4 + 1 x1x2 + x3x4 + x1 x1x2 + x3x4 ... - GitHub

x1x2 + x3x4 x1x2 + x3x4 + 1 x1x2 + x3x4 + x1 x1x2 + x3x4 + x1 + 1 x1x2 + x3x4 + x2 x1x2 + x3x4 + x2 + 1 x1x2 + x3x4 + x3 x1x2 + x3x4 + x3 + 1 x1x2 + x3x4 + x4 x1x2 + x3x4 + x4 + 1 x1x2 + x3x4 + x1 + x2 x1x2 + x3x4 + x1 + x2 + 1 x1x2 + x3x4 + x1 + x3 x1x2 + x3x4 + x1 + x3 + 1 x1x2 + x3x4 + x1 + x4 x1x2 + x3x4 + x1 + x4 ...
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The analytical solution for this PDE is given by: ... 2 dr is the complementary error ... Show that the accuracy of the solution improves on a finer mesh (as ∆y ...
Lecture 1 - GitHub
Jan 9, 2018 - We will put special emphasis on learning to use certain tools common to companies which actually do data ... Class time will consist of a combination of lecture, discussion, questions and answers, and problem solving, .... After this da
Homework #1 - GitHub
Please select either bus 2 or 3 as reference bus, calculate the line flows, and check if the results are the same. 2. Come up with a case study of LP, and solve it in ...