Structural Integrity

Challenge Description

An architect claims his structure is perfectly optimized, every beam aligned in the most efficient possible direction.

During an investigation, two foundational support vectors were recovered from his original blueprints:

v1 = (273865527764777781144141449527614564744955312389974355122802057677, -342810034430115767558041467288808082864898603200048339309915913392191299770331372094770805872366038193829957015)

v2 = (-117370940470619049061774906940406242033552276738560437909772310433, 137124013772046307023216586915523233145959441278087203733828216474058421986310419569159935914819855744237695704)

The entire framework of the structure is generated from these two vectors.

He insists that the true foundation, the one that carries the entire weight lies in the most efficient direction of the system.

Flag format: HackCTF{...}