Claude Opus 4.6

```

Finding the Inner Diameter The coaster sits beneath the glass on the table, meaning the glass rests on top of it. Assuming the coaster matches the outer diameter of the glass base:

Outer diameter of glass = diameter of coaster = 9 Wall thickness = 1 (on each side, so subtract twice)

dinner=9−2(1)=7d_{\text{inner}} = 9 - 2(1) = 7dinner =9−2(1)=7 The inner diameter of the glass is 7.

```

Makes its assumption clear, seems reasonable?

This says absolutely nothing.

Extremely simplified example: let's say Sonnet 4.5 really costs $17/1M output for AWS to run yet it's priced at $15. Anthropic will simply have a contract with AWS that compensates them. That, or AWS is happy to take the loss. You said "they won't be doing that at a loss" but in this case it's not at all out of the question.

Whatever the case, that it costs the same on AWS as directly from Anthropic is not an indicator of unit economics.

prompt: finding every spell in all Harry Potter books in the first 4 books, only the officially documented spells across those 4 books, there are 50, without using websearch

Here's my best compilation from memory, organized by book. I'll be upfront: getting to exactly 50 is tricky without cross-referencing, so some might be debatable or I might miss a couple. Here goes:

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*Book 1 - Philosopher's/Sorcerer's Stone*

1. *Lumos* - produces light 2. *Nox* - extinguishes Lumos 3. *Alohomora* - unlocks doors 4. *Wingardium Leviosa* - levitation 5. *Petrificus Totalus* - full body-bind 6. *Locomotor Mortis* - leg-locker curse 7. *Incendio* - produces fire 8. *Reparo* - mends broken objects

*Book 2 - Chamber of Secrets*

9. *Expelliarmus* - disarms opponent 10. *Rictusempra* - tickling charm 11. *Tarantallegra* - forces target to dance 12. *Serpensortia* - conjures a snake 13. *Finite Incantatem* - ends spell effects 14. *Obliviate* - erases memories 15. *Aparecium* - reveals invisible ink 16. *Immobulus* - freezes target in place 17. *Homorphus* - mentioned by Lockhart (werewolf cure claim) 18. *Peskipiksi Pesternomi* - Lockhart's failed pixie spell

*Book 3 - Prisoner of Azkaban*

19. *Expecto Patronum* - produces a Patronus 20. *Riddikulus* - repels a Boggart 21. *Waddiwasi* - shoots objects at target 22. *Impervius* - waterproofing charm 23. *Dissendium* - opens secret passage 24. *Ferula* - conjures bandages/splint 25. *Mobilicorpus* - moves a body 26. *Lumos Maxima* - intense light

*Book 4 - Goblet of Fire*

27. *Accio* - summoning charm 28. *Avada Kedavra* - killing curse 29. *Crucio* - Cruciatus curse (torture) 30. *Imperio* - Imperius curse (control) 31. *Stupefy* - stunning spell 32. *Engorgio* - enlarges target 33. *Reducio* - shrinks target 34. *Sonorus* - amplifies voice 35. *Quietus* - reverses Sonorus 36. *Morsmordre* - conjures the Dark Mark 37. *Priori Incantatem* - reveals last spell cast 38. *Deletrius* - erases magical residue 39. *Densaugeo* - enlarges teeth 40. *Furnunculus* - causes boils 41. *Impedimenta* - slows/stops target 42. *Reducto* - blasts solid objects 43. *Diffindo* - severing charm 44. *Relashio* - releases sparks/grip 45. *Orchideous* - conjures flowers 46. *Avis* - conjures birds 47. *Point Me* - Four-Point Spell (compass) 48. *Ennervate* - revives stunned person 49. *Protego* - shield charm 50. *Conjunctivitis Curse* - affects eyesight (Krum on the dragon)

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A few caveats: some of these (like Lumos Maxima, Homorphus, Peskipiksi Pesternomi) are borderline since they're either mentioned rather than properly cast, or might be film additions that bleed into memory. The Conjunctivitis Curse is described but its incantation isn't explicitly given in the text. And Protego might technically first appear with its incantation in Book 5 during DA practice rather than Book 4.

If you want, I can turn this into a spreadsheet or document with columns for spell name, effect, who casts it, and which chapter.