from research import *
s=begin(693,'Explain the dual-route convergence balance','Which differences are premises and which are consequences of the common head?',{'source_states':[4114,4304],'anchors':[1446,1406],'gains':[232,42],'completed_radii':[2900,2940]},['C692; Supplement A §9'])
source_gap=4304-4114; gain_gap=232-42; anchor_gap=1446-1406; radius_gap=2940-2900
finish(s,{'source_gap':source_gap,'gain_gap':gain_gap,'anchor_gap':anchor_gap,'completed_radius_gap':radius_gap,'source_components':[60,130]},'The two source states differ190=60+130, exactly balanced by their Key-gain difference232−42. Their completed radii differ40, matching the anchor separation. These equations explain convergence without turning the generated head into a transmitted Creation date.','Recover the internal source partition under its declared anchoredP route.',{'gain_balance':source_gap==gain_gap==190,'anchor_balance':anchor_gap==radius_gap==40,'source_components':source_gap==60+130})