UPD. I have read these question and answer (Class file for com.google.android.gms.internal.zzaja not found). But I doesnt understand what strings i need to
You're mixing libraries from old and new Firebase released. Everything from Firebase that you use should be in parity. This line is reference an library from a very old Firebase release (before it became the Firebase platform at Google):
compile 'com.firebaseui:firebase-ui:0.6.0'
If you want to use the Firebase-UI library, you should use the new version of it that matches the version of the main client library you're using. You're using 10.0.1, so according to the table on the Firebase-UI github I just linked, you want this dependency:
compile 'com.firebaseui:firebase-ui:1.1.1'
Always make sure your Firebase-UI library matches the core Firebase SDK you're using.