User blog comment:Edwin Shade/Pop The Balloons Challenge III (Continuation of Googleaarex's Challenge)/@comment-25601061-20171009010233

Here are some upper (I believe) bounds for each of the 4 levels:


 * 1) f2(24)2+2
 * 2) fω+1(f23(f33(f22(11)4+2)))8+3)
 * 3) [TBA]
 * 4) [TBA]