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Affine Earth Math Court Remote

by earth.affine
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verify_amplitude_amplification

QC-009 Amplitude amplification: the Grover oracle check plus the presented iterate count. THE BOUND IS N=4: oracle is a 0/1 string of length exactly 4 with exactly one 1 (e.g. 0001), marked is the index of that 1 (e.g. 3), and iterations must be 1 - one Grover iterate at N=4 is exact, so oracle=0001, marked=3, iterations=1 -> WIN 'iters=1 grover=WIN'. Any other oracle length (2, 3, 5..8) is REFUSED_INSTANCE_BOUND 'oracle length L: this court grades N=4 only; the law for other lengths is not built' - the court refuses rather than certify an iterate count it cannot check. A presented witness is verified; no amplitude is estimated. All three fields required. Floats refused.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
markedYes0-based index of the 1 (the marked entry), decimal. e.g. 3
oracleYes0/1 string, length 2..8, exactly one 1, e.g. 0001
iterationsYespresented iterate count, decimal; 1 at N=4. e.g. 1

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed3 schema fields changed
    • changedInput schema / properties / iterations / description
      Previous value: -"presented iterate count, decimal; 1 at N=4"New value: +"presented iterate count, decimal; 1 at N=4. e.g. 1"
    • changedInput schema / properties / marked / description
      Previous value: -"0-based index of the 1 (the marked entry), decimal"New value: +"0-based index of the 1 (the marked entry), decimal. e.g. 3"
    • changedInput schema / required
      Previous value: -[]New value: +[
+  "iterations",
+  "marked",
+  "oracle"
+]
  2. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  3. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  4. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  5. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  6. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  7. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  8. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  9. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  10. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  11. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  12. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  13. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  14. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  15. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  16. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  17. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  18. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  19. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  20. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  21. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  22. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  23. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  24. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  25. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  26. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  27. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  28. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  29. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  30. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  31. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  32. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  33. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  34. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  35. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  36. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  37. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  38. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  39. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  40. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  41. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  42. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  43. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  44. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  45. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  46. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  47. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  48. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  49. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  50. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  51. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  52. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  53. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  54. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  55. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  56. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  57. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  58. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  59. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  60. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  61. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  62. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  63. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  64. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  65. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  66. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  67. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  68. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  69. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  70. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  71. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  72. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  73. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  74. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  75. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  76. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  77. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  78. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  79. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  80. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  81. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  82. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  83. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  84. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  85. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  86. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  87. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  88. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  89. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  90. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  91. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  92. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  93. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  94. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  95. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  96. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  97. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  98. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  99. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  100. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  101. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  102. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  103. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  104. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  105. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  106. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  107. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  108. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  109. Changed3 schema fields changed
    • removedInput schema / properties / iterations / description
      Removed value: -"presented iterate count, decimal; 1 at N=4"
    • removedInput schema / properties / marked / description
      Removed value: -"0-based index of the 1 (the marked entry), decimal"
    • removedInput schema / properties / oracle / description
      Removed value: -"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  110. Changed3 schema fields changed
    • addedInput schema / properties / iterations / description
      Added value: +"presented iterate count, decimal; 1 at N=4"
    • addedInput schema / properties / marked / description
      Added value: +"0-based index of the 1 (the marked entry), decimal"
    • addedInput schema / properties / oracle / description
      Added value: +"0/1 string, length 2..8, exactly one 1, e.g. 0001"
  111. First observed

TDQS

A4.6/5.0
Behavior5/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries the full burden and does so: it discloses the exact success token ('iters=1 grover=WIN'), the refusal behavior and its message, that all three fields are required, and that floats are refused. It also states it verifies a presented witness rather than estimating.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Front-loaded with the purpose and bound, and every sentence adds a distinct constraint or outcome. It is dense and slightly run-on (the example triple is stated twice, and the 'court/law' metaphor is jargon), but no sentence is filler.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness5/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

No annotations and no output schema, so the description must cover returns and constraints, which it does: it names the WIN and REFUSED_INSTANCE_BOUND outcomes, the required-field rule, and the type restriction. Nothing needed to call it correctly is missing.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100%, so baseline is 3, but the description adds real constraint semantics beyond the schema: oracle is a 0/1 string of length exactly 4 with exactly one 1, marked is the 0-based index of that 1, and iterations must be 1. Note a mismatch: the schema says oracle length 2..8 while the description demands exactly 4.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb (verify) plus resource (amplitude amplification / Grover oracle check + presented iterate count), and distinguishes itself from verify_amplitude_estimation by explicitly saying 'no amplitude is estimated.' An agent can route to it without opening the schema.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

Clearly states when the tool applies (N=4 with oracle length exactly 4, one marked index, iterations=1) and when it refuses (any other oracle length is REFUSED_INSTANCE_BOUND). It gives explicit context and exclusion conditions, though it never names verify_amplitude_estimation or verify_grover as the alternative to use.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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