{"description": "Output- and input-token accounting probes, 17 September 2026. Question IDs, batch sizes, state difficulty, word IDs and matched state/ID strings.", "questionIds": {"schema": "jev-output-token-trials.v1", "created_utc": "2026-09-17T07:51:04.642194+00:00", "seed": 2026091703, "planned_requests": 122, "notes": ["Only question ID and JSON wire escaping vary; state and question stay fixed.", "One question per request. Two randomized passes with interleaved identical controls.", "No retries. Token counts are API accounting, not a neural execution trace."], "trials": [{"family": "interleaved_control", "id": "n1", "repeat": 0, "wire_ascii": true, "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"n1": {"type": "noul", "instructions": "x"}}}, "id_codepoints": 2, "id_utf8_bytes": 2, "wire_bytes": 97, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 268, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":268,\"output_tokens\":21}}", "index": 0}, {"family": "repeat_a", "id": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa", "repeat": 0, "wire_ascii": true, "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa": {"type": "noul", "instructions": "x"}}}, "id_codepoints": 128, "id_utf8_bytes": 128, "wire_bytes": 223, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 268, "output_tokens": 51}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":268,\"output_tokens\":51}}", "index": 1}, {"family": "repeat_abc", "id": "abcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabca", "repeat": 0, "wire_ascii": true, "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"abcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabca": {"type": "noul", "instructions": "x"}}}, "id_codepoints": 64, "id_utf8_bytes": 64, "wire_bytes": 159, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"abcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabca": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 268, "output_tokens": 41}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"abcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabca\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":268,\"output_tokens\":41}}", "index": 2}, {"family": "repeat_a", "id": "aaaaaaaa", "repeat": 0, "wire_ascii": true, "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"aaaaaaaa": {"type": "noul", "instructions": "x"}}}, "id_codepoints": 8, "id_utf8_bytes": 8, "wire_bytes": 103, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"aaaaaaaa": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 268, "output_tokens": 20}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"aaaaaaaa\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":268,\"output_tokens\":20}}", "index": 3}, {"family": "digits", "id": "01234567890123456789012345678901", "repeat": 0, "wire_ascii": true, "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"01234567890123456789012345678901": {"type": "noul", "instructions": "x"}}}, "id_codepoints": 32, "id_utf8_bytes": 32, "wire_bytes": 127, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"01234567890123456789012345678901": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 268, "output_tokens": 51}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"01234567890123456789012345678901\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":268,\"output_tokens\":51}}", "index": 4}, {"family": "repeat_a", "id": "aaaa", "repeat": 0, "wire_ascii": true, "payload": {"model": 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{"family": "digits", "id": "0123456789012345", "repeat": 0, "wire_ascii": true, "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"0123456789012345": {"type": "noul", "instructions": "x"}}}, "id_codepoints": 16, "id_utf8_bytes": 16, "wire_bytes": 111, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"0123456789012345": {"type": "noul", "noul": 0.47}}, "usage": {"input_tokens": 268, "output_tokens": 35}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"0123456789012345\":{\"type\":\"noul\",\"noul\":0.47}},\"usage\":{\"input_tokens\":268,\"output_tokens\":35}}", "index": 10}, {"family": "emoji", "id": 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"{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.46},\"n2\":{\"type\":\"noul\",\"noul\":0.47}},\"usage\":{\"input_tokens\":276,\"output_tokens\":38}}"}, {"index": 44, "repeat": 1, "family": "numbered", "ids": ["n1", "n2", "n3", "n4", "n5", "n6", "n7", "n8", "n9", "n10", "n11", "n12", "n13", "n14", "n15", "n16"], "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"n1": {"type": "noul", "instructions": "x"}, "n2": {"type": "noul", "instructions": "x"}, "n3": {"type": "noul", "instructions": "x"}, "n4": {"type": "noul", "instructions": "x"}, "n5": {"type": "noul", "instructions": "x"}, "n6": {"type": "noul", "instructions": "x"}, "n7": {"type": "noul", "instructions": "x"}, "n8": {"type": "noul", "instructions": "x"}, "n9": {"type": "noul", "instructions": "x"}, "n10": {"type": "noul", "instructions": "x"}, "n11": {"type": "noul", "instructions": "x"}, "n12": {"type": "noul", "instructions": "x"}, "n13": {"type": "noul", "instructions": "x"}, "n14": {"type": "noul", "instructions": "x"}, "n15": {"type": "noul", "instructions": "x"}, "n16": {"type": "noul", "instructions": "x"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.46}, "n2": {"type": "noul", "noul": 0.47}, "n3": {"type": "noul", "noul": 0.46}, "n4": {"type": "noul", "noul": 0.46}, "n5": {"type": "noul", "noul": 0.48}, "n6": {"type": "noul", "noul": 0.46}, "n7": {"type": "noul", "noul": 0.46}, "n8": {"type": "noul", "noul": 0.47}, "n9": {"type": "noul", "noul": 0.48}, "n10": {"type": "noul", "noul": 0.47}, "n11": {"type": "noul", "noul": 0.45}, "n12": {"type": "noul", "noul": 0.47}, "n13": {"type": "noul", "noul": 0.47}, "n14": {"type": "noul", "noul": 0.46}, "n15": {"type": "noul", "noul": 0.47}, "n16": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 388, "output_tokens": 283}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.46},\"n2\":{\"type\":\"noul\",\"noul\":0.47},\"n3\":{\"type\":\"noul\",\"noul\":0.46},\"n4\":{\"type\":\"noul\",\"noul\":0.46},\"n5\":{\"type\":\"noul\",\"noul\":0.48},\"n6\":{\"type\":\"noul\",\"noul\":0.46},\"n7\":{\"type\":\"noul\",\"noul\":0.46},\"n8\":{\"type\":\"noul\",\"noul\":0.47},\"n9\":{\"type\":\"noul\",\"noul\":0.48},\"n10\":{\"type\":\"noul\",\"noul\":0.47},\"n11\":{\"type\":\"noul\",\"noul\":0.45},\"n12\":{\"type\":\"noul\",\"noul\":0.47},\"n13\":{\"type\":\"noul\",\"noul\":0.47},\"n14\":{\"type\":\"noul\",\"noul\":0.46},\"n15\":{\"type\":\"noul\",\"noul\":0.47},\"n16\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":388,\"output_tokens\":283}}"}, {"index": 45, "repeat": 1, "family": "long", "ids": ["a_very_long_question_identifier_that_should_not_matter_at_all"], "payload": {"model": "jev-1.13.0", "state": "x", "questions": {"a_very_long_question_identifier_that_should_not_matter_at_all": {"type": "noul", "instructions": "x"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"a_very_long_question_identifier_that_should_not_matter_at_all": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 268, "output_tokens": 32}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"a_very_long_question_identifier_that_should_not_matter_at_all\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":268,\"output_tokens\":32}}"}]}, "states": {"schema": "jev-output-token-states.v1", "created_utc": "2026-09-17T08:08:32.725699+00:00", "planned_requests": 40, "notes": ["Fixed questions and IDs within each one- or three-question arm.", "Two repeats; four concurrent requests; no retries or latency measurements.", "Computational states have more required arithmetic steps; actual model effort is not measured."], "trials": [{"condition": "missing", "state": "The final integer value has not been supplied. No further information is available.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value has not been supplied. No further information is available.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.47}}, "usage": {"input_tokens": 288, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.47}},\"usage\":{\"input_tokens\":288,\"output_tokens\":21}}", "index": 0}, {"condition": "one_step_42", "state": "The final integer value is 6 multiplied by 7.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 6 multiplied by 7.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.98}}, "usage": {"input_tokens": 285, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.98}},\"usage\":{\"input_tokens\":285,\"output_tokens\":21}}", "index": 1}, {"condition": "chain_16_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.63}}, "usage": {"input_tokens": 437, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.63}},\"usage\":{\"input_tokens\":437,\"output_tokens\":21}}", "index": 2}, {"condition": "chain_16_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.64}, "n2": {"type": "noul", "noul": 0.19}, "n3": {"type": "noul", "noul": 0.25}}, "usage": {"input_tokens": 472, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.64},\"n2\":{\"type\":\"noul\",\"noul\":0.19},\"n3\":{\"type\":\"noul\",\"noul\":0.25}},\"usage\":{\"input_tokens\":472,\"output_tokens\":55}}", "index": 3}, {"condition": "chain_64_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.54}, "n2": {"type": "noul", "noul": 0.71}, "n3": {"type": "noul", "noul": 0.24}}, "usage": {"input_tokens": 971, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.54},\"n2\":{\"type\":\"noul\",\"noul\":0.71},\"n3\":{\"type\":\"noul\",\"noul\":0.24}},\"usage\":{\"input_tokens\":971,\"output_tokens\":55}}", "index": 4}, {"condition": "explicit_71", "state": "The final integer value is 71.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 71.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.01}, "n2": {"type": "noul", "noul": 0.99}, "n3": {"type": "noul", "noul": 0.38}}, "usage": {"input_tokens": 317, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.01},\"n2\":{\"type\":\"noul\",\"noul\":0.99},\"n3\":{\"type\":\"noul\",\"noul\":0.38}},\"usage\":{\"input_tokens\":317,\"output_tokens\":55}}", "index": 5}, {"condition": "uncertain_quarter", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.26}, "n2": {"type": "noul", "noul": 0.73}, "n3": {"type": "noul", "noul": 0.58}}, "usage": {"input_tokens": 336, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.26},\"n2\":{\"type\":\"noul\",\"noul\":0.73},\"n3\":{\"type\":\"noul\",\"noul\":0.58}},\"usage\":{\"input_tokens\":336,\"output_tokens\":55}}", "index": 6}, {"condition": "missing", "state": "The final integer value has not been supplied. No further information is available.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value has not been supplied. No further information is available.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.47}, "n2": {"type": "noul", "noul": 0.46}, "n3": {"type": "noul", "noul": 0.37}}, "usage": {"input_tokens": 323, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.47},\"n2\":{\"type\":\"noul\",\"noul\":0.46},\"n3\":{\"type\":\"noul\",\"noul\":0.37}},\"usage\":{\"input_tokens\":323,\"output_tokens\":55}}", "index": 7}, {"condition": "chain_64_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.54}, "n2": {"type": "noul", "noul": 0.73}, "n3": {"type": "noul", "noul": 0.23}}, "usage": {"input_tokens": 971, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.54},\"n2\":{\"type\":\"noul\",\"noul\":0.73},\"n3\":{\"type\":\"noul\",\"noul\":0.23}},\"usage\":{\"input_tokens\":971,\"output_tokens\":55}}", "index": 8}, {"condition": "explicit_42", "state": "The final integer value is 42.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.98}}, "usage": {"input_tokens": 282, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.98}},\"usage\":{\"input_tokens\":282,\"output_tokens\":21}}", "index": 9}, {"condition": "one_step_42", "state": "The final integer value is 6 multiplied by 7.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 6 multiplied by 7.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.99}, "n2": {"type": "noul", "noul": 0.01}, "n3": {"type": "noul", "noul": 0.99}}, "usage": {"input_tokens": 320, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.99},\"n2\":{\"type\":\"noul\",\"noul\":0.01},\"n3\":{\"type\":\"noul\",\"noul\":0.99}},\"usage\":{\"input_tokens\":320,\"output_tokens\":55}}", "index": 10}, {"condition": "uncertain_half", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.49}, "n2": {"type": "noul", "noul": 0.46}, "n3": {"type": "noul", "noul": 0.52}}, "usage": {"input_tokens": 336, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.49},\"n2\":{\"type\":\"noul\",\"noul\":0.46},\"n3\":{\"type\":\"noul\",\"noul\":0.52}},\"usage\":{\"input_tokens\":336,\"output_tokens\":55}}", "index": 11}, {"condition": "missing", "state": "The final integer value has not been supplied. No further information is available.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value has not been supplied. No further information is available.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.46}}, "usage": {"input_tokens": 288, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.46}},\"usage\":{\"input_tokens\":288,\"output_tokens\":21}}", "index": 12}, {"condition": "one_step_42", "state": "The final integer value is 6 multiplied by 7.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 6 multiplied by 7.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.99}}, "usage": {"input_tokens": 285, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.99}},\"usage\":{\"input_tokens\":285,\"output_tokens\":21}}", "index": 13}, {"condition": "explicit_with_distractors_42", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.99}, "n2": {"type": "noul", "noul": 0.01}, "n3": {"type": "noul", "noul": 0.76}}, "usage": {"input_tokens": 2033, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.99},\"n2\":{\"type\":\"noul\",\"noul\":0.01},\"n3\":{\"type\":\"noul\",\"noul\":0.76}},\"usage\":{\"input_tokens\":2033,\"output_tokens\":55}}", "index": 14}, {"condition": "uncertain_half", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.48}}, "usage": {"input_tokens": 301, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.48}},\"usage\":{\"input_tokens\":301,\"output_tokens\":21}}", "index": 15}, {"condition": "chain_16_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.67}, "n2": {"type": "noul", "noul": 0.21}, "n3": {"type": "noul", "noul": 0.27}}, "usage": {"input_tokens": 472, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.67},\"n2\":{\"type\":\"noul\",\"noul\":0.21},\"n3\":{\"type\":\"noul\",\"noul\":0.27}},\"usage\":{\"input_tokens\":472,\"output_tokens\":55}}", "index": 16}, {"condition": "explicit_with_distractors_42", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.99}, "n2": {"type": "noul", "noul": 0.0}, "n3": {"type": "noul", "noul": 0.81}}, "usage": {"input_tokens": 2033, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.99},\"n2\":{\"type\":\"noul\",\"noul\":0.0},\"n3\":{\"type\":\"noul\",\"noul\":0.81}},\"usage\":{\"input_tokens\":2033,\"output_tokens\":55}}", "index": 17}, {"condition": "uncertain_quarter", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.25}}, "usage": {"input_tokens": 301, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.25}},\"usage\":{\"input_tokens\":301,\"output_tokens\":21}}", "index": 18}, {"condition": "uncertain_half", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.48}}, "usage": {"input_tokens": 301, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.48}},\"usage\":{\"input_tokens\":301,\"output_tokens\":21}}", "index": 19}, {"condition": "chain_64_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.54}}, "usage": {"input_tokens": 936, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.54}},\"usage\":{\"input_tokens\":936,\"output_tokens\":21}}", "index": 20}, {"condition": "one_step_42", "state": "The final integer value is 6 multiplied by 7.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 6 multiplied by 7.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.98}, "n2": {"type": "noul", "noul": 0.01}, "n3": {"type": "noul", "noul": 0.99}}, "usage": {"input_tokens": 320, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.98},\"n2\":{\"type\":\"noul\",\"noul\":0.01},\"n3\":{\"type\":\"noul\",\"noul\":0.99}},\"usage\":{\"input_tokens\":320,\"output_tokens\":55}}", "index": 21}, {"condition": "uncertain_37", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.38}, "n2": {"type": "noul", "noul": 0.59}, "n3": {"type": "noul", "noul": 0.59}}, "usage": {"input_tokens": 336, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.38},\"n2\":{\"type\":\"noul\",\"noul\":0.59},\"n3\":{\"type\":\"noul\",\"noul\":0.59}},\"usage\":{\"input_tokens\":336,\"output_tokens\":55}}", "index": 22}, {"condition": "explicit_71", "state": "The final integer value is 71.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 71.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.01}}, "usage": {"input_tokens": 282, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.01}},\"usage\":{\"input_tokens\":282,\"output_tokens\":21}}", "index": 23}, {"condition": "missing", "state": "The final integer value has not been supplied. No further information is available.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value has not been supplied. No further information is available.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.46}, "n2": {"type": "noul", "noul": 0.46}, "n3": {"type": "noul", "noul": 0.37}}, "usage": {"input_tokens": 323, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.46},\"n2\":{\"type\":\"noul\",\"noul\":0.46},\"n3\":{\"type\":\"noul\",\"noul\":0.37}},\"usage\":{\"input_tokens\":323,\"output_tokens\":55}}", "index": 24}, {"condition": "chain_64_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 45.\n2. subtract 77.\n3. subtract 57.\n4. multiply by 28.\n5. add 96.\n6. multiply by 59.\n7. subtract 60.\n8. take the nonnegative remainder modulo 88.\n9. subtract 18.\n10. multiply by 66.\n11. subtract 83.\n12. multiply by 74.\n13. subtract 51.\n14. take the nonnegative remainder modulo 87.\n15. multiply by 29.\n16. take the nonnegative remainder modulo 49.\n17. take the nonnegative remainder modulo 8.\n18. subtract 11.\n19. add 23.\n20. subtract 53.\n21. take the nonnegative remainder modulo 10.\n22. add 97.\n23. take the nonnegative remainder modulo 38.\n24. add 97.\n25. subtract 29.\n26. take the nonnegative remainder modulo 7.\n27. subtract 7.\n28. take the nonnegative remainder modulo 47.\n29. add 9.\n30. add 43.\n31. take the nonnegative remainder modulo 10.\n32. add 50.\n33. take the nonnegative remainder modulo 76.\n34. add 21.\n35. multiply by 7.\n36. add 57.\n37. take the nonnegative remainder modulo 40.\n38. take the nonnegative remainder modulo 15.\n39. subtract 95.\n40. subtract 92.\n41. subtract 40.\n42. take the nonnegative remainder modulo 41.\n43. take the nonnegative remainder modulo 91.\n44. add 40.\n45. take the nonnegative remainder modulo 41.\n46. subtract 13.\n47. take the nonnegative remainder modulo 38.\n48. multiply by 90.\n49. take the nonnegative remainder modulo 49.\n50. multiply by 6.\n51. add 45.\n52. add 30.\n53. multiply by 19.\n54. subtract 27.\n55. subtract 55.\n56. take the nonnegative remainder modulo 96.\n57. add 35.\n58. add 42.\n59. take the nonnegative remainder modulo 17.\n60. subtract 88.\n61. add 57.\n62. take the nonnegative remainder modulo 53.\n63. take the nonnegative remainder modulo 34.\n64. Add 40.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.55}}, "usage": {"input_tokens": 936, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.55}},\"usage\":{\"input_tokens\":936,\"output_tokens\":21}}", "index": 25}, {"condition": "explicit_71", "state": "The final integer value is 71.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 71.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.01}}, "usage": {"input_tokens": 282, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.01}},\"usage\":{\"input_tokens\":282,\"output_tokens\":21}}", "index": 26}, {"condition": "explicit_with_distractors_42", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.99}}, "usage": {"input_tokens": 1998, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.99}},\"usage\":{\"input_tokens\":1998,\"output_tokens\":21}}", "index": 27}, {"condition": "explicit_71", "state": "The final integer value is 71.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 71.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.01}, "n2": {"type": "noul", "noul": 0.99}, "n3": {"type": "noul", "noul": 0.36}}, "usage": {"input_tokens": 317, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.01},\"n2\":{\"type\":\"noul\",\"noul\":0.99},\"n3\":{\"type\":\"noul\",\"noul\":0.36}},\"usage\":{\"input_tokens\":317,\"output_tokens\":55}}", "index": 28}, {"condition": "uncertain_37", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.38}, "n2": {"type": "noul", "noul": 0.59}, "n3": {"type": "noul", "noul": 0.61}}, "usage": {"input_tokens": 336, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.38},\"n2\":{\"type\":\"noul\",\"noul\":0.59},\"n3\":{\"type\":\"noul\",\"noul\":0.61}},\"usage\":{\"input_tokens\":336,\"output_tokens\":55}}", "index": 29}, {"condition": "chain_16_42", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "Start with integer x = 137. Apply these operations in order:\n1. take the nonnegative remainder modulo 63.\n2. multiply by 72.\n3. subtract 39.\n4. take the nonnegative remainder modulo 87.\n5. subtract 56.\n6. multiply by 92.\n7. add 69.\n8. multiply by 74.\n9. multiply by 3.\n10. multiply by 28.\n11. subtract 78.\n12. multiply by 8.\n13. subtract 15.\n14. subtract 3.\n15. subtract 62.\n16. Add -8005462.\nThe resulting x is the final integer value.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.62}}, "usage": {"input_tokens": 437, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.62}},\"usage\":{\"input_tokens\":437,\"output_tokens\":21}}", "index": 30}, {"condition": "uncertain_37", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.39}}, "usage": {"input_tokens": 301, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.39}},\"usage\":{\"input_tokens\":301,\"output_tokens\":21}}", "index": 31}, {"condition": "uncertain_half", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 50%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.49}, "n2": {"type": "noul", "noul": 0.46}, "n3": {"type": "noul", "noul": 0.55}}, "usage": {"input_tokens": 336, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.49},\"n2\":{\"type\":\"noul\",\"noul\":0.46},\"n3\":{\"type\":\"noul\",\"noul\":0.55}},\"usage\":{\"input_tokens\":336,\"output_tokens\":55}}", "index": 32}, {"condition": "explicit_42", "state": "The final integer value is 42.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.98}, "n2": {"type": "noul", "noul": 0.01}, "n3": {"type": "noul", "noul": 0.96}}, "usage": {"input_tokens": 317, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.98},\"n2\":{\"type\":\"noul\",\"noul\":0.01},\"n3\":{\"type\":\"noul\",\"noul\":0.96}},\"usage\":{\"input_tokens\":317,\"output_tokens\":55}}", "index": 33}, {"condition": "uncertain_37", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 37%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.37}}, "usage": {"input_tokens": 301, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.37}},\"usage\":{\"input_tokens\":301,\"output_tokens\":21}}", "index": 34}, {"condition": "explicit_42", "state": "The final integer value is 42.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.98}}, "usage": {"input_tokens": 282, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.98}},\"usage\":{\"input_tokens\":282,\"output_tokens\":21}}", "index": 35}, {"condition": "uncertain_quarter", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "ids": ["n1"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.26}}, "usage": {"input_tokens": 301, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.26}},\"usage\":{\"input_tokens\":301,\"output_tokens\":21}}", "index": 36}, {"condition": "explicit_42", "state": "The final integer value is 42.", "ids": ["n1", "n2", "n3"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "The final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.98}, "n2": {"type": "noul", "noul": 0.01}, "n3": {"type": "noul", "noul": 0.95}}, "usage": {"input_tokens": 317, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.98},\"n2\":{\"type\":\"noul\",\"noul\":0.01},\"n3\":{\"type\":\"noul\",\"noul\":0.95}},\"usage\":{\"input_tokens\":317,\"output_tokens\":55}}", "index": 37}, {"condition": "uncertain_quarter", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "ids": ["n1", "n2", "n3"], "repeat": 0, "payload": {"model": "jev-1.13.0", "state": "The final integer value is chosen randomly: 42 with probability 25%, otherwise 71. The outcome is not observed.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}, "n2": {"type": "noul", "instructions": "Is the final integer value greater than 50?"}, "n3": {"type": "noul", "instructions": "Is the final integer value divisible by 7?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.26}, "n2": {"type": "noul", "noul": 0.75}, "n3": {"type": "noul", "noul": 0.53}}, "usage": {"input_tokens": 336, "output_tokens": 55}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.26},\"n2\":{\"type\":\"noul\",\"noul\":0.75},\"n3\":{\"type\":\"noul\",\"noul\":0.53}},\"usage\":{\"input_tokens\":336,\"output_tokens\":55}}", "index": 38}, {"condition": "explicit_with_distractors_42", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "ids": ["n1"], "repeat": 1, "payload": {"model": "jev-1.13.0", "state": "Unrelated inventory notes, irrelevant to the final value:\nItem 0 has stock 0 and warehouse 0.\nItem 1 has stock 31 and warehouse 1.\nItem 2 has stock 62 and warehouse 2.\nItem 3 has stock 93 and warehouse 3.\nItem 4 has stock 27 and warehouse 4.\nItem 5 has stock 58 and warehouse 5.\nItem 6 has stock 89 and warehouse 6.\nItem 7 has stock 23 and warehouse 7.\nItem 8 has stock 54 and warehouse 8.\nItem 9 has stock 85 and warehouse 9.\nItem 10 has stock 19 and warehouse 10.\nItem 11 has stock 50 and warehouse 11.\nItem 12 has stock 81 and warehouse 12.\nItem 13 has stock 15 and warehouse 0.\nItem 14 has stock 46 and warehouse 1.\nItem 15 has stock 77 and warehouse 2.\nItem 16 has stock 11 and warehouse 3.\nItem 17 has stock 42 and warehouse 4.\nItem 18 has stock 73 and warehouse 5.\nItem 19 has stock 7 and warehouse 6.\nItem 20 has stock 38 and warehouse 7.\nItem 21 has stock 69 and warehouse 8.\nItem 22 has stock 3 and warehouse 9.\nItem 23 has stock 34 and warehouse 10.\nItem 24 has stock 65 and warehouse 11.\nItem 25 has stock 96 and warehouse 12.\nItem 26 has stock 30 and warehouse 0.\nItem 27 has stock 61 and warehouse 1.\nItem 28 has stock 92 and warehouse 2.\nItem 29 has stock 26 and warehouse 3.\nItem 30 has stock 57 and warehouse 4.\nItem 31 has stock 88 and warehouse 5.\nItem 32 has stock 22 and warehouse 6.\nItem 33 has stock 53 and warehouse 7.\nItem 34 has stock 84 and warehouse 8.\nItem 35 has stock 18 and warehouse 9.\nItem 36 has stock 49 and warehouse 10.\nItem 37 has stock 80 and warehouse 11.\nItem 38 has stock 14 and warehouse 12.\nItem 39 has stock 45 and warehouse 0.\nItem 40 has stock 76 and warehouse 1.\nItem 41 has stock 10 and warehouse 2.\nItem 42 has stock 41 and warehouse 3.\nItem 43 has stock 72 and warehouse 4.\nItem 44 has stock 6 and warehouse 5.\nItem 45 has stock 37 and warehouse 6.\nItem 46 has stock 68 and warehouse 7.\nItem 47 has stock 2 and warehouse 8.\nItem 48 has stock 33 and warehouse 9.\nItem 49 has stock 64 and warehouse 10.\nItem 50 has stock 95 and warehouse 11.\nItem 51 has stock 29 and warehouse 12.\nItem 52 has stock 60 and warehouse 0.\nItem 53 has stock 91 and warehouse 1.\nItem 54 has stock 25 and warehouse 2.\nItem 55 has stock 56 and warehouse 3.\nItem 56 has stock 87 and warehouse 4.\nItem 57 has stock 21 and warehouse 5.\nItem 58 has stock 52 and warehouse 6.\nItem 59 has stock 83 and warehouse 7.\nItem 60 has stock 17 and warehouse 8.\nItem 61 has stock 48 and warehouse 9.\nItem 62 has stock 79 and warehouse 10.\nItem 63 has stock 13 and warehouse 11.\nItem 64 has stock 44 and warehouse 12.\nItem 65 has stock 75 and warehouse 0.\nItem 66 has stock 9 and warehouse 1.\nItem 67 has stock 40 and warehouse 2.\nItem 68 has stock 71 and warehouse 3.\nItem 69 has stock 5 and warehouse 4.\nItem 70 has stock 36 and warehouse 5.\nItem 71 has stock 67 and warehouse 6.\nItem 72 has stock 1 and warehouse 7.\nItem 73 has stock 32 and warehouse 8.\nItem 74 has stock 63 and warehouse 9.\nItem 75 has stock 94 and warehouse 10.\nItem 76 has stock 28 and warehouse 11.\nItem 77 has stock 59 and warehouse 12.\nItem 78 has stock 90 and warehouse 0.\nItem 79 has stock 24 and warehouse 1.\nItem 80 has stock 55 and warehouse 2.\nItem 81 has stock 86 and warehouse 3.\nItem 82 has stock 20 and warehouse 4.\nItem 83 has stock 51 and warehouse 5.\nItem 84 has stock 82 and warehouse 6.\nItem 85 has stock 16 and warehouse 7.\nItem 86 has stock 47 and warehouse 8.\nItem 87 has stock 78 and warehouse 9.\nItem 88 has stock 12 and warehouse 10.\nItem 89 has stock 43 and warehouse 11.\nItem 90 has stock 74 and warehouse 12.\nItem 91 has stock 8 and warehouse 0.\nItem 92 has stock 39 and warehouse 1.\nItem 93 has stock 70 and warehouse 2.\nItem 94 has stock 4 and warehouse 3.\nItem 95 has stock 35 and warehouse 4.\nItem 96 has stock 66 and warehouse 5.\nItem 97 has stock 0 and warehouse 6.\nItem 98 has stock 31 and warehouse 7.\nItem 99 has stock 62 and warehouse 8.\nItem 100 has stock 93 and warehouse 9.\nItem 101 has stock 27 and warehouse 10.\nItem 102 has stock 58 and warehouse 11.\nItem 103 has stock 89 and warehouse 12.\nItem 104 has stock 23 and warehouse 0.\nItem 105 has stock 54 and warehouse 1.\nItem 106 has stock 85 and warehouse 2.\nItem 107 has stock 19 and warehouse 3.\nItem 108 has stock 50 and warehouse 4.\nItem 109 has stock 81 and warehouse 5.\nItem 110 has stock 15 and warehouse 6.\nItem 111 has stock 46 and warehouse 7.\nItem 112 has stock 77 and warehouse 8.\nItem 113 has stock 11 and warehouse 9.\nItem 114 has stock 42 and warehouse 10.\nItem 115 has stock 73 and warehouse 11.\nItem 116 has stock 7 and warehouse 12.\nItem 117 has stock 38 and warehouse 0.\nItem 118 has stock 69 and warehouse 1.\nItem 119 has stock 3 and warehouse 2.\nThe final integer value is 42.", "questions": {"n1": {"type": "noul", "instructions": "Is the final integer value even?"}}}, "response": {"status": 200, "model": "jev-1.13.0", "answers": {"n1": {"type": "noul", "noul": 0.99}}, "usage": {"input_tokens": 1998, "output_tokens": 21}}, "raw_response": "{\"model\":\"jev-1.13.0\",\"answers\":{\"n1\":{\"type\":\"noul\",\"noul\":0.99}},\"usage\":{\"input_tokens\":1998,\"output_tokens\":21}}", "index": 39}]}, "words": {"schema": "jev-output-token-words.v1", "created_utc": "2026-09-17T08:02:59.923826+00:00", "planned_requests": 47, "notes": ["Same single-question payload as prior ID study.", "Four concurrent requests; no latency claims; no retries. 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