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πŸ“° So $ d(n) = n^3 $ for $ n = 1,2,3,4 $. Since $ d(t) $ is a cubic polynomial and agrees with $ t^3 $ at four distinct points, by uniqueness of interpolation, πŸ“° d(t) = t^3. πŸ“° But $ d(t) = t^3 $ is strictly convex and has no minimum (it decreases on $ (-\infty, 0) $, increases on $ (0, \infty) $), so it does not achieve a minimum. However, the problem states that the **minimum depth is achieved exactly once**, which implies $ d(t) $ has a unique global minimum. But $ t^3 $ has no such minimum. Contradiction? πŸ“° Spanish Mackerel You Never Knew Exists Its Secret Powers Will Blow Your Mind 6709244 πŸ“° Crm News Today πŸ“° Big Discovery Roblox For Parents And The Story Spreads πŸ“° The Secret Behind Flawless Batter Every Time Just Look Inside 9051646 πŸ“° This Simple Routine Lets You Remove Acrylic Nails In Minutes With Zero Painwatch Now 915946 πŸ“° From Obscure Streak To Villainess Level 99 Her Rise To Infamy Will Shock You 976909 πŸ“° Why Does Media Player Not Give Names Of Songs πŸ“° High Yielding Cd Rates 3237716 πŸ“° 7 Deadly But So Inspiring Christmas Holiday Curtains Thatll Make Your Home Sparkle This Season 7570298 πŸ“° Verizon Grand Haven Michigan πŸ“° Samurai Shadow How A Forgotten Warrior Changed Destiny Forever 1179711 πŸ“° Update For Best Software For Small Business Smooth Access πŸ“° Murphys Law πŸ“° Nprandomrand πŸ“° The Ultimate Justice League Flashpoint Paradoxdid You Understand The Chaos 8767122