>>11829562If you can't know the date with the day or month alone, them the true day or month must be repeated.
Thus, May 19 and June 18 are out.
June 18th being out means June has one day, rendering June 17th invalid.
That gets rid of the repeated 17th, so August 17th is also out.
We are left with:
May 15, May 16
July 14, July 16
Aug 14, Aug 15
I have no idea how to progress further.