MD5 Inverse Identity: Does (X,Y) exist such that md5(X)=Y and md5(Y)=X

Do there exist two 128-bit values that hash to each other?

Find (X,Y) such that md5(X) = Y and md5(Y) = X

can they be found without brute force?

For extra credit: Am I allowed to make up the term "md5-itive inverse identity?"

The solution set will be sparse, if not empty.

For your LOL's today, here ya go:

hash md5

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