from research import *
s=begin(684,'Connect civil brackets with the micro gain','How do the supplied750 brackets and AD27→30 completion arise?',{'civil_pairs':[[726,25],[724,27]],'micro_input':F(69,2),'AD_start':27},['Supplement A §§5.3–5.4'])
widths=[b+a-1 for b,a in [[726,25],[724,27]]]; gain=E*F(69,2)-F(69,2)
finish(s,{'civil_widths':widths,'coordinate_translation':2,'E_micro_gain':gain,'completed_AD_label':27+gain},'Both supplied civil pairs have width750 and differ by a uniform two-year forward translation. The separate AD27→30 completion uses the micro E-gain3. Equal durations and later completion are connected operations with separately supplied anchors.','Close the three-calendar calibration triangle at the micro input34.5.',{'widths':widths==[750,750],'gain':gain==3,'completion':27+gain==30})