If P(x)=x3+ax2+bx+cP(x) = x^3 + ax^2 + bx + cP(x)=x3+ax2+bx+c has roots α,β,γ\alpha, \beta, \gammaα,β,γ such that α3+β3+γ3=0\alpha^3 + \beta^3 + \gamma^3 = 0α3+β3+γ3=0 and α+β+γ=0\alpha + \beta + \gamma = 0α+β+γ=0, what is the value of bbb?
000
111
−1-1−1
333