Given that the square of a plus a minus 1 equals 200, then the value of one third of a's Square plus one third of a plus 333 is

Given that the square of a plus a minus 1 equals 200, then the value of one third of a's Square plus one third of a plus 333 is

a²+a-1=200
a²+a=201
1/3a²+1/3a+333
=1/3(a²+a)+333
=1/3×201+333
=67+333
=400