If the sum of squares of all real values of α, for which the lines 2 x-y+3=0,6 x+3 y+1=0 and α x+2 y-2=0 do not form a triangle is p, then the…

If the sum of squares of all real values of $\displaystyle \alpha$, for which the lines $\displaystyle 2 x-y+3=0,6 x+3 y+1=0$ and $\displaystyle \alpha x+2 y-2=0$ do not form a triangle is p, then the greatest integer less than or equal to p is $\displaystyle \_\_\_\_$.