And requirements like that are why my password strengths are completely out of whack:

• Random websites get 24 randomly generated printable characters stored in my password manager. This is essentially unbreakable with conventional methods and can easily be adapted to fit whichever counterproductive rules the website enforces.
• My password manager and my home computers get memorable but long phrases. A particular favorite is to start in the middle of a line from a song and continue from there. Nobody's going to guess "make you swear and curse when you′re chewing on" but it's easy to memorize of you already know the song. Even a dictionary attack is going to have trouble with that many words.
• My work accounts get the bare minimum that complies with whichever rules the admins came up with. Numbers, special characters and mixed capitalization? No thirty letter phrase for you, then; you'll get the minimum eight characters so I have a chance of memorizing the thing. Regular password changes? Great, now the last two chargers are going to be incrementing digits, just like for everyone else.

There's a reason why experts these days argue against anything but minimum length restrictions.