1.
Let a,b,c∈R+a, b, c \in \mathbb{R}^+ and the system of equations
(1−a)x+y+z=0(1-a)x + y + z = 0

x+(1−b)y+z=0x + (1-b)y + z = 0

x+y+(1−c)z=0x + y + (1-c)z = 0

has infinitely many solutions. The minimum value of abcabc is