Suppose that the roots of $$x^3+3x^2+4x-11=0$$ are $$a$$, $$b$$, and $$c$$, and that the roots of $$x^3+rx^2+sx+t=0$$ are $$a+b$$, $$b+c$$, and $$c+a$$. Find $$t$$.

(第十四届AIME1996 第5题)