=== magnitude histogram mode per bin (verify Mc) ===
japan 0-30: n=8631 mode=4.35 hist@2.0-2.2=0 hist@4.3-4.5=2013
japan 30-70: n=13239 mode=4.35 hist@2.0-2.2=0 hist@4.3-4.5=3122
japan 70-150: n=2792 mode=4.35 hist@2.0-2.2=0 hist@4.3-4.5=671
japan 150-300: n=1103 mode=4.25 hist@2.0-2.2=0 hist@4.3-4.5=167
chile 0-30: n=14818 mode=4.15 hist@2.0-2.2=130 hist@4.3-4.5=1234
chile 30-70: n=12700 mode=4.25 hist@2.0-2.2=43 hist@4.3-4.5=1377
chile 70-150: n=15476 mode=4.25 hist@2.0-2.2=131 hist@4.3-4.5=1620
chile 150-300: n=6054 mode=4.15 hist@2.0-2.2=1 hist@4.3-4.5=1178

=== sensitivity: b per bin under different Mc rules / windows ===
shallow-deep b difference (deep - shallow) by rule/window:
japan/1990-2025  mc_mode+0.2:+0.104(ovl)  mc_mode+0.0:+0.278(SEP)  mc_mode+0.3:+0.081(ovl)  mc_mode+0.4:+0.051(ovl)  mc_fixed2.5:+0.040(SEP)  mc_fixed3.0:+0.072(SEP)
japan/2000-2025  mc_mode+0.2:+0.054(ovl)  mc_mode+0.0:+0.286(SEP)  mc_mode+0.3:+0.038(ovl)  mc_mode+0.4:+0.052(ovl)  mc_fixed2.5:+0.038(SEP)  mc_fixed3.0:+0.070(SEP)
japan/2010-2025  mc_mode+0.2:+0.121(ovl)  mc_mode+0.0:+0.252(SEP)  mc_mode+0.3:+0.121(ovl)  mc_mode+0.4:+0.155(ovl)  mc_fixed2.5:+0.029(SEP)  mc_fixed3.0:+0.052(SEP)
chile/1990-2025  mc_mode+0.2:+0.440(SEP)  mc_mode+0.0:+0.291(SEP)  mc_mode+0.3:+0.440(SEP)  mc_mode+0.4:+0.372(SEP)  mc_fixed2.5:-0.062(SEP)  mc_fixed3.0:-0.069(SEP)
chile/2000-2025  mc_mode+0.2:+0.507(SEP)  mc_mode+0.0:+0.365(SEP)  mc_mode+0.3:+0.496(SEP)  mc_mode+0.4:+0.396(SEP)  mc_fixed2.5:-0.061(SEP)  mc_fixed3.0:-0.044(SEP)
chile/2010-2025  mc_mode+0.2:+0.522(SEP)  mc_mode+0.0:+0.543(SEP)  mc_mode+0.3:+0.384(SEP)  mc_mode+0.4:+0.270(SEP)  mc_fixed2.5:+0.011(SEP)  mc_fixed3.0:+0.022(SEP)
