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)