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📰 But the question says "the node opposite to $O$", i.e., opposite the origin. That wording is misleading — $O$ is at the origin. But in the hexagon, the node farthest from $O$ is at $(-1, 0)$, which is at distance 1 — same as all others. But in a **regular hexagon**, all vertices are equidistant from center, so **no node is farther than others**. 📰 However, in a **scaled hexagonal lattice** used for energy grid modeling, nodes may be placed at **integer-coordinate projections** using vectors $\vec{v}_1 = (1, 0)$, $\vec{v}_2 = \left(\frac{1}{2}, \frac{\sqrt{3}}}{2}\right)$, but these are not integer. 📰 But the problem says "assuming integer coordinates are used in a scaled grid". So perhaps the hexagon is scaled by 2 to clear denominators: 📰 Hampton Inn Mchenry 146918 📰 We Become What 1908867 📰 Nvidia Chinas Crisis Explained Headwinds Pushing Tech Giant To Reassess Its Strategy 321656 📰 Hotel Rooms In Lewisville Texas 5805536 📰 The Ultimate Guide To Kenichi The Ultimate Disciple You Need On Your Team 2840261 📰 How Old Is Andrew Garfield 2892381 📰 This Pyre Charged With Fire Brought History To A Screaming Halt You Wont Believe How It Started 5302984 📰 The Hidden Truth Behind The 2015 Escalade That Everyones Claiming 7135124 📰 Iowa Secrets You Never Knew Were Hidden In Plain Sight 3741987 📰 How Many Cities Are There In The World 4116473 📰 Powerball Jackpot Winning Numbers 4163807 📰 Hampton Inn Danbury Ct 1496699 📰 Cinnamon Advantages 5581923 📰 Sophia Brown 9475860 📰 From Inheritance To Infamy Robert Kennedy Jrs Bold Journey Everyones Watching 9294331