J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 3 | 1 2 3 | | A | 4 5 6 | 4 5 6 | 4 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | G | 4 5 6 | 4 5 6 | | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | H | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 3 | 1 2 3 | 1 2 3 | I | 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ 72 Deductions found: 1. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in row A)}. Therefore, we know that none of {4AJ or 4AK or 4AM or 4AN or 4AP or 4AQ} are true. 2. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. 3. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4AJ or 4AK or 4BJ or 4BK or 4BL or 4CK or 4CL} are true. 4. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 5. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 6. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 7. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 8. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 9. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 10. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 11. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 12. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 13. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 14. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4AQ or 4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 15. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4AP or 4AQ or 4BP or 4BR or 4CQ or 4CR} are true. 16. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 17. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 18. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 19. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 20. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 21. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 22. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 23. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 24. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 25. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DP or 3DQ or 3DR} are true. 26. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK or 3IK} are true. 27. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 28. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 29. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 30. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 31. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 32. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 33. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 34. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 35. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 36. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 37. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 38. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 39. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 40. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 41. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 42. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 43. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 44. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 45. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 46. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 47. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 48. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 49. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 50. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 51. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 52. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 53. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 54. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 55. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 56. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 57. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 58. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 59. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 60. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 61. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 62. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 63. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 64. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 65. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 66. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 67. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IN or 4IO or 4IQ or 4IR} are true. 68. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in column M)}. Therefore, we know that none of {4AM or 4CM or 4DM or 4EM or 4GM or 4HM} are true. 69. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in box 8)}. Therefore, we know that none of {4GM or 4GO or 4HM or 4HN or 4IN or 4IO} are true. 70. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in row I)}. Therefore, we know that none of {3IK or 3IL or 3IN or 3IO or 3IQ or 3IR} are true. 71. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in column P)}. Therefore, we know that none of {3AP or 3BP or 3DP or 3EP or 3GP or 3HP} are true. 72. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in box 9)}. Therefore, we know that none of {3GP or 3GQ or 3HP or 3HQ or 3HR or 3IQ or 3IR} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 3 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | G | 4 5 6 | 4 5 6 | | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | H | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 3 | 1 2 3 | 1 2 3 | I | 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in AL) will enslave (There is a 4 in row A) ...stopped looking for slaves... 71 Deductions found: 1. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in box 9)}. Therefore, we know that none of {3GP or 3GQ or 3HP or 3HQ or 3HR or 3IQ or 3IR} are true. 2. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in column P)}. Therefore, we know that none of {3AP or 3BP or 3DP or 3EP or 3GP or 3HP} are true. 3. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in row I)}. Therefore, we know that none of {3IK or 3IL or 3IN or 3IO or 3IQ or 3IR} are true. 4. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in box 8)}. Therefore, we know that none of {4GM or 4GO or 4HM or 4HN or 4IN or 4IO} are true. 5. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in column M)}. Therefore, we know that none of {4CM or 4DM or 4EM or 4GM or 4HM} are true. 6. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IN or 4IO or 4IQ or 4IR} are true. 7. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 8. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 9. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 10. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 11. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 12. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 13. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 14. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 15. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 16. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 17. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 18. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 19. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 20. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 21. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 22. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 23. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 24. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 25. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 26. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 27. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 28. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 29. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 30. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 31. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 32. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 33. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 34. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 35. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 36. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 37. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 38. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 39. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 40. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 41. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 42. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 43. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 44. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 45. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 46. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 47. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK or 3IK} are true. 48. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DP or 3DQ or 3DR} are true. 49. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 50. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 51. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 52. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 53. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 54. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 55. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 56. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 57. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 58. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BP or 4BR or 4CQ or 4CR} are true. 59. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 60. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 61. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 62. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 63. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 64. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 65. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 66. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 67. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 68. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 69. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 70. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4CK or 4CL} are true. 71. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 3 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 | 1 2 | | G | 4 5 6 | 4 5 6 | | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 | 1 2 | 1 2 | H | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 3 | 1 2 | 1 2 | I | 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IP) will enslave (There is a 3 in box 9) ...stopped looking for slaves... 70 Deductions found: 1. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in column P)}. Therefore, we know that none of {3AP or 3BP or 3DP or 3EP} are true. 2. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in row I)}. Therefore, we know that none of {3IK or 3IL or 3IN or 3IO} are true. 3. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in box 8)}. Therefore, we know that none of {4GM or 4GO or 4HM or 4HN or 4IN or 4IO} are true. 4. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in column M)}. Therefore, we know that none of {4CM or 4DM or 4EM or 4GM or 4HM} are true. 5. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IN or 4IO or 4IQ or 4IR} are true. 6. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 7. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 8. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 9. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 10. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 11. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 12. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 13. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 14. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 15. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 16. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 17. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 18. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 19. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 20. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 21. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 22. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 23. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 24. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 25. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 26. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 27. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 28. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 29. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 30. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 31. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 32. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 33. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 34. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 35. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 36. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 37. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 38. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 39. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 40. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 41. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 42. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 43. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 44. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 45. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 46. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK or 3IK} are true. 47. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DP or 3DQ or 3DR} are true. 48. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 49. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 50. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 51. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 52. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 53. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 54. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 55. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 56. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 57. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BP or 4BR or 4CQ or 4CR} are true. 58. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 59. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 60. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 61. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 62. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 63. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 64. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 65. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 66. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 67. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 68. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 69. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4CK or 4CL} are true. 70. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 | 1 2 | | G | 4 5 6 | 4 5 6 | | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 | 1 2 | 1 2 | H | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 3 | 1 2 | 1 2 | I | 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IP) will enslave (There is a 3 in column P) ...stopped looking for slaves... 69 Deductions found: 1. Since {(There is something in IP)} we know 1 of {3IP} are true. But those are a subset of {(There is a 3 in row I)}. Therefore, we know that none of {3IK or 3IL or 3IN or 3IO} are true. 2. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in box 8)}. Therefore, we know that none of {4GM or 4GO or 4HM or 4HN or 4IN or 4IO} are true. 3. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in column M)}. Therefore, we know that none of {4CM or 4DM or 4EM or 4GM or 4HM} are true. 4. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IN or 4IO or 4IQ or 4IR} are true. 5. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 6. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 7. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 8. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 9. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 10. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 11. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 12. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 13. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 14. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 15. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 16. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 17. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 18. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 19. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 20. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 21. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 22. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 23. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 24. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 25. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 26. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 27. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 28. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 29. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 30. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 31. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 32. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 33. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 34. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 35. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 36. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 37. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 38. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 39. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 40. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 41. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 42. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 43. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 44. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 45. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK or 3IK} are true. 46. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DQ or 3DR} are true. 47. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 48. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 49. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 50. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 51. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 52. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 53. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 54. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 55. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 56. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BP or 4BR or 4CQ or 4CR} are true. 57. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 58. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 59. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 60. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 61. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 62. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 63. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 64. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 65. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 66. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 67. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 68. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4CK or 4CL} are true. 69. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 | 1 2 | | G | 4 5 6 | 4 5 6 | | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 | 1 2 | 1 2 | H | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 | 1 2 | | 1 2 | 1 2 | 3 | 1 2 | 1 2 | I | 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IP) will enslave (There is a 3 in row I) ...stopped looking for slaves... 68 Deductions found: 1. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in box 8)}. Therefore, we know that none of {4GM or 4GO or 4HM or 4HN or 4IN or 4IO} are true. 2. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in column M)}. Therefore, we know that none of {4CM or 4DM or 4EM or 4GM or 4HM} are true. 3. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IN or 4IO or 4IQ or 4IR} are true. 4. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 5. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 6. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 7. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 8. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 9. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 10. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 11. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 12. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 13. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 14. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 15. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 16. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 17. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 18. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 19. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 20. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 21. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 22. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 23. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 24. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 25. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 26. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 27. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 28. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 29. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 30. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 31. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 32. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 33. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 34. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 35. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 36. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 37. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 38. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 39. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 40. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 41. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 42. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 43. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 44. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK} are true. 45. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DQ or 3DR} are true. 46. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 47. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 48. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 49. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 50. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 51. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 52. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 53. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 54. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 55. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BP or 4BR or 4CQ or 4CR} are true. 56. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 57. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 58. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 59. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 60. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 61. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 62. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 63. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 64. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 65. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 66. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 67. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4CK or 4CL} are true. 68. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 4 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 | 1 2 | | G | 4 5 6 | 4 5 6 | | 5 6 | | 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 | 1 2 | 1 2 | H | 4 5 6 | | 4 5 6 | 5 6 | 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 | 1 2 | | 1 2 | 1 2 | 3 | 1 2 | 1 2 | I | 6 | 4 5 6 | 4 5 6 | 4 | 5 6 | 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IM) will enslave (There is a 4 in box 8) ...stopped looking for slaves... 67 Deductions found: 1. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in column M)}. Therefore, we know that none of {4CM or 4DM or 4EM} are true. 2. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IQ or 4IR} are true. 3. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 4. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 5. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 6. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 7. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 8. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 9. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 10. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 11. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 12. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 13. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 14. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 15. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 16. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 17. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 18. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 19. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 20. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 21. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 22. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 23. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 24. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 25. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 26. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 27. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 28. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 29. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 30. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 31. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 32. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 33. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 34. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 35. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 36. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 37. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 38. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 39. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 40. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 41. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 42. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 43. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK} are true. 44. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DQ or 3DR} are true. 45. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 46. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 47. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 48. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 49. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 50. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 51. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 52. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 53. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 54. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BP or 4BR or 4CQ or 4CR} are true. 55. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 56. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 57. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 58. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 59. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 60. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 61. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 62. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 63. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 64. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 65. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 66. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4CK or 4CL} are true. 67. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | | 7 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 3 | 1 2 | 1 2 3 | 2 | E | | 4 5 6 | 4 5 6 | 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | 4 5 6 | | | 8 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 | | 1 2 3 | F | 4 5 6 | 4 5 6 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 2 | 1 2 3 | | 1 2 3 | 1 2 | 1 2 | | G | 4 5 6 | 4 5 6 | | 5 6 | | 5 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 8 9 | 7 8 9 | 7 8 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 | 1 2 | 1 2 | H | 4 5 6 | | 4 5 6 | 5 6 | 5 6 | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 | 1 2 | | 1 2 | 1 2 | 3 | 1 2 | 1 2 | I | 6 | 4 5 6 | 4 5 6 | 4 | 5 6 | 5 6 | | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IM) will enslave (There is a 4 in column M) ...stopped looking for slaves... 66 Deductions found: 1. Since {(There is something in IM)} we know 1 of {4IM} are true. But those are a subset of {(There is a 4 in row I)}. Therefore, we know that none of {4IK or 4IL or 4IQ or 4IR} are true. 2. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in box 7)}. Therefore, we know that none of {6GJ or 6GK or 6HJ or 6HL or 6IK or 6IL} are true. 3. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in column J)}. Therefore, we know that none of {6AJ or 6BJ or 6DJ or 6FJ or 6GJ or 6HJ} are true. 4. Since {(There is something in IJ)} we know 1 of {6IJ} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IK or 6IL or 6IN or 6IO or 6IQ or 6IR} are true. 5. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5GM or 5GO or 5HM or 5HN or 5IN or 5IO} are true. 6. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5BO or 5CO or 5EO or 5FO or 5GO or 5IO} are true. 7. Since {(There is something in HO)} we know 1 of {5HO} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HL or 5HM or 5HN or 5HP or 5HQ or 5HR} are true. 8. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GJ or 7GK or 7HJ or 7HL or 7IK or 7IL} are true. 9. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7BK or 7CK or 7EK or 7FK or 7GK or 7IK} are true. 10. Since {(There is something in HK)} we know 1 of {7HK} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HL or 7HM or 7HN or 7HP or 7HQ or 7HR} are true. 11. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in box 9)}. Therefore, we know that none of {7GP or 7GQ or 7HP or 7HQ or 7HR or 7IQ or 7IR} are true. 12. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in column R)}. Therefore, we know that none of {7BR or 7CR or 7DR or 7FR or 7HR or 7IR} are true. 13. Since {(There is something in GR)} we know 1 of {7GR} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GJ or 7GK or 7GM or 7GO or 7GP or 7GQ} are true. 14. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9GM or 9GO or 9HM or 9HN or 9IN or 9IO} are true. 15. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9AN or 9BN or 9DN or 9EN or 9FN or 9HN or 9IN} are true. 16. Since {(There is something in GN)} we know 1 of {9GN} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GJ or 9GK or 9GM or 9GO or 9GP or 9GQ} are true. 17. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in box 7)}. Therefore, we know that none of {2GJ or 2GK or 2HJ or 2HL or 2IK or 2IL} are true. 18. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in column L)}. Therefore, we know that none of {2BL or 2CL or 2EL or 2FL or 2HL or 2IL} are true. 19. Since {(There is something in GL)} we know 1 of {2GL} are true. But those are a subset of {(There is a 2 in row G)}. Therefore, we know that none of {2GJ or 2GK or 2GM or 2GO or 2GP or 2GQ} are true. 20. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DP or 9DQ or 9DR or 9EP or 9EQ or 9FR} are true. 21. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9AQ or 9CQ or 9DQ or 9EQ or 9GQ or 9HQ or 9IQ} are true. 22. Since {(There is something in FQ)} we know 1 of {9FQ} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FK or 9FL or 9FN or 9FO or 9FR} are true. 23. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DP or 1DQ or 1DR or 1EP or 1EQ or 1FR} are true. 24. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1AP or 1BP or 1DP or 1EP or 1GP or 1HP} are true. 25. Since {(There is something in FP)} we know 1 of {1FP} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FK or 1FL or 1FN or 1FO or 1FR} are true. 26. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in box 5)}. Therefore, we know that none of {6DM or 6DN or 6EM or 6EN or 6EO or 6FN or 6FO} are true. 27. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in column M)}. Therefore, we know that none of {6AM or 6CM or 6DM or 6EM or 6GM or 6HM} are true. 28. Since {(There is something in FM)} we know 1 of {6FM} are true. But those are a subset of {(There is a 6 in row F)}. Therefore, we know that none of {6FJ or 6FK or 6FL or 6FN or 6FO or 6FR} are true. 29. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in box 6)}. Therefore, we know that none of {2DP or 2DQ or 2DR or 2EP or 2EQ or 2FR} are true. 30. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in column R)}. Therefore, we know that none of {2BR or 2CR or 2DR or 2FR or 2HR or 2IR} are true. 31. Since {(There is something in ER)} we know 1 of {2ER} are true. But those are a subset of {(There is a 2 in row E)}. Therefore, we know that none of {2EK or 2EL or 2EM or 2EN or 2EO or 2EP or 2EQ} are true. 32. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in box 4)}. Therefore, we know that none of {8DJ or 8EK or 8EL or 8FJ or 8FK or 8FL} are true. 33. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in column J)}. Therefore, we know that none of {8AJ or 8BJ or 8DJ or 8FJ or 8GJ or 8HJ} are true. 34. Since {(There is something in EJ)} we know 1 of {8EJ} are true. But those are a subset of {(There is a 8 in row E)}. Therefore, we know that none of {8EK or 8EL or 8EM or 8EN or 8EO or 8EP or 8EQ} are true. 35. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in box 5)}. Therefore, we know that none of {8DM or 8DN or 8EM or 8EN or 8EO or 8FN or 8FO} are true. 36. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in column O)}. Therefore, we know that none of {8BO or 8CO or 8EO or 8FO or 8GO or 8IO} are true. 37. Since {(There is something in DO)} we know 1 of {8DO} are true. But those are a subset of {(There is a 8 in row D)}. Therefore, we know that none of {8DJ or 8DM or 8DN or 8DP or 8DQ or 8DR} are true. 38. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7DJ or 7EK or 7EL or 7FJ or 7FK or 7FL} are true. 39. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7CL or 7EL or 7FL or 7HL or 7IL} are true. 40. Since {(There is something in DL)} we know 1 of {7DL} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DJ or 7DM or 7DN or 7DP or 7DQ or 7DR} are true. 41. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3DJ or 3EK or 3EL or 3FJ or 3FK or 3FL} are true. 42. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3BK or 3CK or 3EK or 3FK or 3GK} are true. 43. Since {(There is something in DK)} we know 1 of {3DK} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DJ or 3DM or 3DN or 3DQ or 3DR} are true. 44. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in box 3)}. Therefore, we know that none of {6AP or 6AQ or 6BP or 6BR or 6CQ or 6CR} are true. 45. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in column P)}. Therefore, we know that none of {6AP or 6BP or 6DP or 6EP or 6GP or 6HP} are true. 46. Since {(There is something in CP)} we know 1 of {6CP} are true. But those are a subset of {(There is a 6 in row C)}. Therefore, we know that none of {6CK or 6CL or 6CM or 6CO or 6CQ or 6CR} are true. 47. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in box 2)}. Therefore, we know that none of {5AM or 5AN or 5BN or 5BO or 5CM or 5CO} are true. 48. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in column N)}. Therefore, we know that none of {5AN or 5BN or 5DN or 5EN or 5FN or 5HN or 5IN} are true. 49. Since {(There is something in CN)} we know 1 of {5CN} are true. But those are a subset of {(There is a 5 in row C)}. Therefore, we know that none of {5CK or 5CL or 5CM or 5CO or 5CQ or 5CR} are true. 50. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1AJ or 1AK or 1BJ or 1BK or 1BL or 1CK or 1CL} are true. 51. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1BJ or 1DJ or 1FJ or 1GJ or 1HJ} are true. 52. Since {(There is something in CJ)} we know 1 of {1CJ} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CL or 1CM or 1CO or 1CQ or 1CR} are true. 53. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BP or 4BR or 4CQ or 4CR} are true. 54. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in column Q)}. Therefore, we know that none of {4CQ or 4DQ or 4EQ or 4GQ or 4HQ or 4IQ} are true. 55. Since {(There is something in BQ)} we know 1 of {4BQ} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4BN or 4BO or 4BP or 4BR} are true. 56. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8AN or 8BN or 8BO or 8CM or 8CO} are true. 57. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in column M)}. Therefore, we know that none of {8AM or 8CM or 8DM or 8EM or 8GM or 8HM} are true. 58. Since {(There is something in BM)} we know 1 of {8BM} are true. But those are a subset of {(There is a 8 in row B)}. Therefore, we know that none of {8BJ or 8BK or 8BL or 8BN or 8BO or 8BP or 8BR} are true. 59. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5AP or 5AQ or 5BP or 5BR or 5CQ or 5CR} are true. 60. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in column R)}. Therefore, we know that none of {5BR or 5CR or 5DR or 5FR or 5HR or 5IR} are true. 61. Since {(There is something in AR)} we know 1 of {5AR} are true. But those are a subset of {(There is a 5 in row A)}. Therefore, we know that none of {5AJ or 5AK or 5AM or 5AN or 5AP or 5AQ} are true. 62. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in box 2)}. Therefore, we know that none of {2AM or 2AN or 2BN or 2BO or 2CM or 2CO} are true. 63. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in column O)}. Therefore, we know that none of {2BO or 2CO or 2EO or 2FO or 2GO or 2IO} are true. 64. Since {(There is something in AO)} we know 1 of {2AO} are true. But those are a subset of {(There is a 2 in row A)}. Therefore, we know that none of {2AJ or 2AK or 2AM or 2AN or 2AP or 2AQ} are true. 65. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in box 1)}. Therefore, we know that none of {4BJ or 4BK or 4BL or 4CK or 4CL} are true. 66. Since {(There is something in AL)} we know 1 of {4AL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4CL or 4EL or 4FL or 4HL or 4IL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 2 | 1 2 | 1 2 3 | | A | 5 6 | 5 6 | 4 | 5 6 | 5 6 | | 5 6 | 5 6 | 5 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | 1 2 3 | 1 2 | | 1 2 3 | B | 4 5 6 | 4 5 6 | 4 5 6 | | 4 5 6 | 4 5 6 | 4 5 6 | 4 | 4 5 6 | | 7 8 9 | 7 8 9 | 7 8 9 | 8 | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | 1 2 3 | 1 2 3 | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 2 3 | C | | 4 5 6 | 4 5 6 | 5 6 | 5 | 4 5 6 | 6 | 4 5 6 | 4 5 6 | | | 7 8 9 | 7 8 9 | 7 8 9 | | 7 8 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | | 1 2 | 1 2 3 | 1 2 3 | D | 4 5 6 | | | 5