riddle

This coming מוצש"ק (if Mashiach won't arrive)we won't be eating מלוה מלכה. When else during the year do we not eat מלוה מלכה?

Answer:

According to Harav Yitzchok Zilberstein Shlita, When Yom Kippur falls on a Shabbos there is no* חיוב to eat מלוה מלכה. Since on Shabbos we don't eat, there is no need to be Melaveh the Shabbos by eating מלוה מלכה

There is a separate  Halacha to 

eat a Seuda every Motzei Yom Kippur