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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: 📰 Apply For Global Entry 6162953 📰 Betternet Shocked Mewhat This Platform Did To Revolutionize Your Online Life 6453824 📰 Purple Hero Wallpaper The Ultra Trendy Choice Thats Taking Over Social Media Homes 6476985 📰 Verizon Yukon Ok 5191902 📰 48 Laws And Power 8444977 📰 Ground In Pool Secrets Get A Luxurious Oasisno More Abandoned Pools 9864822 📰 You Wont Believe What Happened In Mark Leagues Leaguesthis Twist Shocked Everyone 1402914 📰 How Long Until 1 6514770 📰 Dash Incredibles Like Never Before This Hero Slays Every Scene 2630533 📰 How Many Years Ago Was 2011 3432646 📰 Ethels Fancy 9488051 📰 The Diameter Of The Circle Is Equal To The Side Length Of The Square 8 Cm 779058 📰 A Drone Flies 12 Km North Then 5 Km East Then 8 Km South What Is The Straight Line Distance From Its Starting Point To Its Final Position 95136 📰 Which Phone Has The Best Battery Life 8543716 📰 Wells Fargo Google 5786478