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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: 📰 This Simple Wtw Clue Could Change How You Read Every Text Forever 📰 This Sleek Wiring Harness Could Cause Instant Power Failure 📰 This Small Engine Rewrote The Rules Of The Street Wave Like Never Before 📰 This Small Hack Is Changing How Teens Build Massive Businesses From Scratch 📰 This Sneaky Yeast Infection Is Ruining Your Dogs Lifeheres Whats Really Happening 📰 This Soap Is Being Hailed As The Ultimate Game Changer For Frustrating Stains 📰 This Song Is Changing Everything In Ways You Never Imagined 📰 This Songs Words Hit Harder Than You Thoughtyou Raise Me Up In Silent Ways 📰 This Sons Ikonic Drop Shatters Music Rules Whos Next To Rise 📰 This Spiders Silent Hunt Inside Your Home Will Make You Second Guess Every Shading 📰 This Stars Silent Words Will Make You Snapwissam Al Mana Stuns The World After Being Silent For Years 📰 This Sticky Yellow Treasure Hiding In Your Snot Its More Than Just A Sneeze 📰 This Strange Yellow Grain Will Blow Your Mind And Make You Call It Magic 📰 This Stunning White Board Disables You In Secondsno Training Required 📰 This Surprising Yellow Duck Was Normally Ignoreduntil Now