求问逻辑10套里的一道题

大懒虫fgnUID：3278912

Neither the Sami nor the Kephrian delegations
attended the international conference. Beforehand. the
delegations of Daqua and Kephria. allies whose
governments had grievances against Tessia. officially
announced that one or both of the two would stay away
if the Tessian delegation attended the conference. In
response, the Sami delegation officially announced that
it would definitely attend if both the Daquan and
Kephrian delegations stayed away.   
If the statements given are all true and all the
delegations adhered to their official announcements.
it must also be true that the
(A) Daquan delegation attended the conference   
(B) Daquan delegation did not attend the conference
(C) Sami government had no grievance against
Tessia
(D) Tessian delegation did not attend the conference
(E) Tessian delegation made no official
announcement regarding its attendance at the
conference
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答案是E，为什么？？？
推了一下，觉得A是对的啊。。。
结果：S没来，K没来；
前提：（1）T来的话，S和K不会全来；
        （2）D和K都不来的话，S肯定会来。
根据结果，S没来，所以D和K至少一个来。因为K没来，所以，肯定是D来了。
完毕，求解答。

reg2012UID：3223491

我也觉得是A啊