; Some extremely badly conditioned problems. ; These cannot be solved accurately without using higher precision ; than what Mercury uses. ; Mercury fails, but at least it doesn't give wrong answers. ; Reference: U. W. Kulisch, W. L. Miranker, SIAM Review (March 1986). ; The true answer is a = 12345678912345, ; but an enormous cancellation makes it difficult to calculate. a = 12345678912345*9876543219876 - 12345678912345*9876543219875 ; a very nearly singular linear system 64919121 *x - 159018721*y = 1 41869520.5*x - 102558961*y = 0