User blog:Bubby3/BM1 is weaker than expected.

In this post, I call the D-value the first entry of the bad part. BM1 actually behaves unexpectedly at some ordinals, choosing the wrong D-values (D value means the first entry of the bad part) that are less than a certain entry. For example, (0,0)(1,1)(2,2)(3,0)(2,1)(3,1)(4,1) actually chooses (3,0) instead of (0,0 as the D-value). Here is the analysis:
 * (0,0)(1,1)(2,2)(3,0)  has level \(\psi(\psi_1(\omega))\)