If a,b,ca, b, ca,b,c are real with a+b+c=1a + b + c = 1a+b+c=1 and ab+bc+ca=−1ab + bc + ca = -1ab+bc+ca=−1, find a2+b2+c2a^2 + b^2 + c^2a2+b2+c2.
111
333
−1-1−1
222