from research import *
s=begin(573,'Connect the two Actual/Rounded interfaces','Can the endpoint square and weighted bridge coexist without conflating their terminals?',{'Creation_regular_Actual':4114,'Creation_cumulative_Actual':14004,'Creation_regular_Rounded':4106,'Creation_cumulative_Rounded':14006},['C531 synthesis; File63 §9.7; latest File52c'])
A=F(4*14004+4114,5);R=F(4*14006+4106,5);delta=(2,-8)
finish(s,{'weighted_anchors':[A,R],'Creation_changes':delta,'weighted_change':4*delta[0]+delta[1],'interfaces':['Creation/Exodus→Creation/Conquest','Actual/rounded regular+cumulative Creation→12026']},'Both interfaces share the cumulative Creation change14004→14006. The regular Creation change4114→4106 cancels it in the weighted12026 bridge; the terminal change1446→1406 instead contributes to the42-year span gain. The maps meet at a node but do different work.','Reconstruct the common integral Key lattice across the newly linked spans.',{'same_anchor':A==R==12026,'cancellation':4*delta[0]+delta[1]==0})