== proposed (projection)
   group               states  E: S_E > 1/2  R: S_R > 1/2  (R defined)
   APS                   1429         36.0%         37.7%          977
   CHA fun1                83         18.1%         38.2%           68
   CHA flat fun3-6       1763         18.9%         77.1%         1703
   CHA other              237         50.6%         72.4%          192
   AUC, flat states against:           E        R
     APS                            0.447    0.691
     CHA fun1                       0.529    0.771
     CHA other                      0.344    0.408

== reading (3), as for m>=2
   group               states  E: S_E > 1/2  R: S_R > 1/2  (R defined)
   APS                    990         19.0%          6.2%          536
   CHA fun1                36         13.9%          9.5%           21
   CHA flat fun3-6        659         27.9%         18.0%          599
   CHA other              204         54.9%         68.6%          159
   AUC, flat states against:           E        R
     APS                            0.460    0.656
     CHA fun1                       0.512    0.674
     CHA other                      0.310    0.219

bars: m>=2 fires 0.2% canonical / 5.8% flat; successive-ratio similarity AUC 0.28-0.42