The pesach-offering contaminates one's hands after midnight. Piggul and “leftover” [sacrificial meat] contaminate the hands.  [If] he recited the blessing for the pesach-offering, he exempts [the blessing] of the [chagigah-] offering; [but if] he recited that of the [chagigah-] offering, he does not exempt that of the pesach-offering —- these are the words of R' Yishmael.  R' Akiva says: This one does not exempt that one, nor does that one exempt this one.