s599.py

from research import *
s=begin(599,'Generate the resolution hierarchy','Why do field, weekly and generation totals differ despite using the same base grid?',{'base_cells':49,'rail':110,'carriers':[70,72]},['File68 §§8.5,8.8–8.10; Appendix J'])
out=[[g,49*g+110,7*(7*g+110),49*(g+110),50*(g+110)] for g in [70,72]]
finish(s,{'g_field_week_generation_outer':out,'embedded_110_multiplicities':[1,7,49,50],'successive_extra_110_counts':[6,42,1]},'The resolution hierarchy changes how often110 is embedded: once per field, once per week, or once per generation. The totals3540/4200/8820 and3638/4298/8918 therefore measure different constructions.','Explain the weekly sum versus field union by overlap accounting.',{'totals':out==[[70,3540,4200,8820,9000],[72,3638,4298,8918,9100]],'differences':all(c-b==660 and d-c==4620 for g,b,c,d,e in out)})