J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 2 3 | 1 | 1 2 3 | | 3 | | | | A | 4 5 6 | 4 5 6 | | 4 5 6 | | | 5 | | | | 7 8 9 | 7 8 9 | | 7 8 9 | 8 | | | 7 | 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 3 | | 1 2 3 | 1 | | | | 1 2 3 | 1 2 3 | B | | 5 | 4 5 6 | | | | 4 | 4 5 6 | 4 5 6 | | | | 7 8 9 | | 7 | 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 | 3 | 1 2 3 | C | | 4 5 6 | | 4 5 6 | 5 | 4 5 6 | | | 4 5 6 | | 7 | 7 8 9 | 9 | 7 8 9 | | 7 8 9 | | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | | 3 | | 1 2 3 | 1 2 3 | | | 1 2 3 | D | | | | 5 | 4 5 6 | 4 5 6 | | 6 | 4 5 6 | | | 9 | | | 7 8 9 | 7 8 9 | 7 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | | | 1 2 3 | 1 | 3 | E | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | | | | 7 8 9 | 7 8 9 | 7 8 9 | 9 | 7 | 7 8 9 | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 3 | 1 | 1 2 3 | | | 1 2 3 | F | 4 5 6 | | 4 5 6 | | | 4 5 6 | | 5 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | | | 7 8 9 | 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | | 3 | | 1 2 3 | 1 2 3 | 1 | G | | 4 5 6 | 4 | | | 5 | 4 5 6 | 4 5 6 | | | 9 | 7 8 9 | | 7 | | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | 1 | 1 2 3 | | | H | 4 5 6 | | 5 | 4 5 6 | 4 5 6 | | 4 5 6 | | | | 7 8 9 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 | | | | 1 2 3 | 3 | 1 2 3 | | I | 4 5 6 | | | | 6 | 4 5 6 | | 4 5 6 | 5 | | 7 8 9 | | 7 | 9 | | 7 8 9 | | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ 150 Deductions found: 1. Since {(There is something in AL)} we know 1 of {1AL} are true. But those are a subset of {(There is a 1 in row A)}. Therefore, we know that none of {1AJ or 1AK or 1AM} are true. 2. Since {(There is something in AL)} we know 1 of {1AL} are true. But those are a subset of {(There is a 1 in column L)}. Therefore, we know that none of {1BL or 1EL or 1FL} are true. 3. Since {(There is something in AL)} we know 1 of {1AL} 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 1BL or 1CK} are true. 4. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in row A)}. Therefore, we know that none of {8AJ or 8AK or 8AM} are true. 5. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in column N)}. Therefore, we know that none of {8DN or 8HN} are true. 6. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8CM or 8CO} are true. 7. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in row A)}. Therefore, we know that none of {3AJ or 3AK or 3AM} are true. 8. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in column O)}. Therefore, we know that none of {3CO or 3DO or 3FO or 3IO} are true. 9. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in box 2)}. Therefore, we know that none of {3AM or 3CM or 3CO} are true. 10. Since {(There is something in AP)} we know 1 of {5AP} 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} are true. 11. Since {(There is something in AP)} we know 1 of {5AP} are true. But those are a subset of {(There is a 5 in column P)}. Therefore, we know that none of {5EP or 5GP or 5HP} are true. 12. Since {(There is something in AP)} we know 1 of {5AP} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5BQ or 5BR or 5CR} are true. 13. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in row A)}. Therefore, we know that none of {7AJ or 7AK or 7AM} are true. 14. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in column Q)}. Therefore, we know that none of {7BQ or 7GQ or 7IQ} are true. 15. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in box 3)}. Therefore, we know that none of {7BQ or 7BR or 7CR} are true. 16. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in row A)}. Therefore, we know that none of {9AJ or 9AK or 9AM} are true. 17. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in column R)}. Therefore, we know that none of {9BR or 9CR or 9DR or 9FR} are true. 18. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in box 3)}. Therefore, we know that none of {9BQ or 9BR or 9CR} are true. 19. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in row B)}. Therefore, we know that none of {3BL or 3BQ or 3BR} are true. 20. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in column J)}. Therefore, we know that none of {3AJ or 3FJ or 3HJ or 3IJ} are true. 21. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in box 1)}. Therefore, we know that none of {3AJ or 3AK or 3BL or 3CK} are true. 22. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in row B)}. Therefore, we know that none of {5BL or 5BQ or 5BR} are true. 23. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in column K)}. Therefore, we know that none of {5AK or 5CK or 5EK or 5GK} are true. 24. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in box 1)}. Therefore, we know that none of {5AJ or 5AK or 5BL or 5CK} are true. 25. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in row B)}. Therefore, we know that none of {1BL or 1BQ or 1BR} are true. 26. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in column M)}. Therefore, we know that none of {1AM or 1CM or 1EM or 1HM} are true. 27. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in box 2)}. Therefore, we know that none of {1AM or 1CM or 1CO} are true. 28. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in row B)}. Therefore, we know that none of {7BL or 7BQ or 7BR} are true. 29. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in column N)}. Therefore, we know that none of {7DN or 7HN} are true. 30. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in box 2)}. Therefore, we know that none of {7AM or 7CM or 7CO} are true. 31. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in row B)}. Therefore, we know that none of {9BL or 9BQ or 9BR} are true. 32. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in column O)}. Therefore, we know that none of {9CO or 9DO or 9FO or 9IO} are true. 33. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in box 2)}. Therefore, we know that none of {9AM or 9CM or 9CO} are true. 34. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BL or 4BQ or 4BR} are true. 35. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in column P)}. Therefore, we know that none of {4EP or 4GP or 4HP} are true. 36. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BQ or 4BR or 4CR} are true. 37. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in row C)}. Therefore, we know that none of {7CK or 7CM or 7CO or 7CR} are true. 38. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in column J)}. Therefore, we know that none of {7AJ or 7FJ or 7HJ or 7IJ} are true. 39. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in box 1)}. Therefore, we know that none of {7AJ or 7AK or 7BL or 7CK} are true. 40. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in row C)}. Therefore, we know that none of {9CK or 9CM or 9CO or 9CR} are true. 41. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in column L)}. Therefore, we know that none of {9BL or 9EL or 9FL} are true. 42. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in box 1)}. Therefore, we know that none of {9AJ or 9AK or 9BL or 9CK} are true. 43. 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 5CM or 5CO or 5CR} are true. 44. 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 {5DN or 5HN} are true. 45. 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 5CM or 5CO} are true. 46. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CM or 1CO or 1CR} are true. 47. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1EP or 1GP or 1HP} are true. 48. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in box 3)}. Therefore, we know that none of {1BQ or 1BR or 1CR} are true. 49. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in row C)}. Therefore, we know that none of {3CK or 3CM or 3CO or 3CR} are true. 50. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in column Q)}. Therefore, we know that none of {3BQ or 3GQ or 3IQ} are true. 51. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in box 3)}. Therefore, we know that none of {3BQ or 3BR or 3CR} are true. 52. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in row D)}. Therefore, we know that none of {1DN or 1DO or 1DR} are true. 53. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1AJ or 1FJ or 1HJ or 1IJ} are true. 54. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in box 4)}. Therefore, we know that none of {1EK or 1EL or 1FJ or 1FL} are true. 55. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in row D)}. Therefore, we know that none of {9DN or 9DO or 9DR} are true. 56. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in column K)}. Therefore, we know that none of {9AK or 9CK or 9EK or 9GK} are true. 57. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in box 4)}. Therefore, we know that none of {9EK or 9EL or 9FJ or 9FL} are true. 58. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DN or 3DO or 3DR} are true. 59. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in column L)}. Therefore, we know that none of {3BL or 3EL or 3FL} are true. 60. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3EK or 3EL or 3FJ or 3FL} are true. 61. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in row D)}. Therefore, we know that none of {5DN or 5DO or 5DR} are true. 62. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in column M)}. Therefore, we know that none of {5AM or 5CM or 5EM or 5HM} are true. 63. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in box 5)}. Therefore, we know that none of {5DN or 5DO or 5EM or 5FO} are true. 64. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DN or 7DO or 7DR} are true. 65. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in column P)}. Therefore, we know that none of {7EP or 7GP or 7HP} are true. 66. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in box 6)}. Therefore, we know that none of {7DR or 7EP or 7FR} are true. 67. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in row D)}. Therefore, we know that none of {6DN or 6DO or 6DR} are true. 68. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in column Q)}. Therefore, we know that none of {6BQ or 6GQ or 6IQ} are true. 69. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in box 6)}. Therefore, we know that none of {6DR or 6EP or 6FR} are true. 70. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in row E)}. Therefore, we know that none of {5EK or 5EL or 5EM or 5EP} are true. 71. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in column J)}. Therefore, we know that none of {5AJ or 5FJ or 5HJ or 5IJ} are true. 72. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in box 4)}. Therefore, we know that none of {5EK or 5EL or 5FJ or 5FL} are true. 73. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in row E)}. Therefore, we know that none of {9EK or 9EL or 9EM or 9EP} are true. 74. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9DN or 9HN} are true. 75. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in box 5)}. Therefore, we know that none of {9DN or 9DO or 9EM or 9FO} are true. 76. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in row E)}. Therefore, we know that none of {7EK or 7EL or 7EM or 7EP} are true. 77. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in column O)}. Therefore, we know that none of {7CO or 7DO or 7FO or 7IO} are true. 78. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in box 5)}. Therefore, we know that none of {7DN or 7DO or 7EM or 7FO} are true. 79. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in row E)}. Therefore, we know that none of {1EK or 1EL or 1EM or 1EP} are true. 80. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in column Q)}. Therefore, we know that none of {1BQ or 1GQ or 1IQ} are true. 81. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DR or 1EP or 1FR} are true. 82. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in row E)}. Therefore, we know that none of {3EK or 3EL or 3EM or 3EP} are true. 83. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in column R)}. Therefore, we know that none of {3BR or 3CR or 3DR or 3FR} are true. 84. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in box 6)}. Therefore, we know that none of {3DR or 3EP or 3FR} are true. 85. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in row F)}. Therefore, we know that none of {7FJ or 7FL or 7FO or 7FR} are true. 86. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7CK or 7EK or 7GK} are true. 87. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7EK or 7EL or 7FJ or 7FL} are true. 88. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in row F)}. Therefore, we know that none of {3FJ or 3FL or 3FO or 3FR} are true. 89. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in column M)}. Therefore, we know that none of {3AM or 3CM or 3EM or 3HM} are true. 90. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in box 5)}. Therefore, we know that none of {3DN or 3DO or 3EM or 3FO} are true. 91. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FL or 1FO or 1FR} are true. 92. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in column N)}. Therefore, we know that none of {1DN or 1HN} are true. 93. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in box 5)}. Therefore, we know that none of {1DN or 1DO or 1EM or 1FO} are true. 94. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FL or 9FO or 9FR} are true. 95. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in column P)}. Therefore, we know that none of {9EP or 9GP or 9HP} are true. 96. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DR or 9EP or 9FR} are true. 97. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in row F)}. Therefore, we know that none of {5FJ or 5FL or 5FO or 5FR} are true. 98. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in column Q)}. Therefore, we know that none of {5BQ or 5GQ or 5IQ} are true. 99. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in box 6)}. Therefore, we know that none of {5DR or 5EP or 5FR} are true. 100. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GK or 9GP or 9GQ} are true. 101. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in column J)}. Therefore, we know that none of {9AJ or 9FJ or 9HJ or 9IJ} are true. 102. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in box 7)}. Therefore, we know that none of {9GK or 9HJ or 9IJ} are true. 103. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in row G)}. Therefore, we know that none of {4GK or 4GP or 4GQ} are true. 104. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4EL or 4FL} are true. 105. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in box 7)}. Therefore, we know that none of {4GK or 4HJ or 4IJ} are true. 106. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GK or 7GP or 7GQ} are true. 107. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in column M)}. Therefore, we know that none of {7AM or 7CM or 7EM or 7HM} are true. 108. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in box 8)}. Therefore, we know that none of {7HM or 7HN or 7IO} are true. 109. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in row G)}. Therefore, we know that none of {3GK or 3GP or 3GQ} are true. 110. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in column N)}. Therefore, we know that none of {3DN or 3HN} are true. 111. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in box 8)}. Therefore, we know that none of {3HM or 3HN or 3IO} are true. 112. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in row G)}. Therefore, we know that none of {5GK or 5GP or 5GQ} are true. 113. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5CO or 5DO or 5FO or 5IO} are true. 114. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5HM or 5HN or 5IO} are true. 115. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in row G)}. Therefore, we know that none of {1GK or 1GP or 1GQ} are true. 116. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in column R)}. Therefore, we know that none of {1BR or 1CR or 1DR or 1FR} are true. 117. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in box 9)}. Therefore, we know that none of {1GP or 1GQ or 1HP or 1IQ} are true. 118. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in row H)}. Therefore, we know that none of {3HJ or 3HM or 3HN or 3HP} are true. 119. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3CK or 3EK or 3GK} are true. 120. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in box 7)}. Therefore, we know that none of {3GK or 3HJ or 3IJ} are true. 121. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HM or 5HN or 5HP} are true. 122. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in column L)}. Therefore, we know that none of {5BL or 5EL or 5FL} are true. 123. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in box 7)}. Therefore, we know that none of {5GK or 5HJ or 5IJ} are true. 124. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in row H)}. Therefore, we know that none of {1HJ or 1HM or 1HN or 1HP} are true. 125. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in column O)}. Therefore, we know that none of {1CO or 1DO or 1FO or 1IO} are true. 126. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in box 8)}. Therefore, we know that none of {1HM or 1HN or 1IO} are true. 127. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in row H)}. Therefore, we know that none of {9HJ or 9HM or 9HN or 9HP} are true. 128. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9BQ or 9GQ or 9IQ} are true. 129. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in box 9)}. Therefore, we know that none of {9GP or 9GQ or 9HP or 9IQ} are true. 130. Since {(There is something in HR)} we know 1 of {7HR} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HM or 7HN or 7HP} are true. 131. Since {(There is something in HR)} we know 1 of {7HR} 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} are true. 132. Since {(There is something in HR)} we know 1 of {7HR} 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 7IQ} are true. 133. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in row I)}. Therefore, we know that none of {1IJ or 1IO or 1IQ} are true. 134. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in column K)}. Therefore, we know that none of {1AK or 1CK or 1EK or 1GK} are true. 135. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in box 7)}. Therefore, we know that none of {1GK or 1HJ or 1IJ} are true. 136. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in row I)}. Therefore, we know that none of {7IJ or 7IO or 7IQ} are true. 137. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7EL or 7FL} are true. 138. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GK or 7HJ or 7IJ} are true. 139. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in row I)}. Therefore, we know that none of {9IJ or 9IO or 9IQ} are true. 140. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in column M)}. Therefore, we know that none of {9AM or 9CM or 9EM or 9HM} are true. 141. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9HM or 9HN or 9IO} are true. 142. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IJ or 6IO or 6IQ} are true. 143. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in column N)}. Therefore, we know that none of {6DN or 6HN} are true. 144. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in box 8)}. Therefore, we know that none of {6HM or 6HN or 6IO} are true. 145. 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 {3IJ or 3IO or 3IQ} are true. 146. 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 {3EP or 3GP or 3HP} are true. 147. 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 3IQ} are true. 148. Since {(There is something in IR)} we know 1 of {5IR} are true. But those are a subset of {(There is a 5 in row I)}. Therefore, we know that none of {5IJ or 5IO or 5IQ} are true. 149. Since {(There is something in IR)} we know 1 of {5IR} 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} are true. 150. Since {(There is something in IR)} we know 1 of {5IR} are true. But those are a subset of {(There is a 5 in box 9)}. Therefore, we know that none of {5GP or 5GQ or 5HP or 5IQ} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 2 3 | 2 3 | 1 | 2 3 | | 3 | | | | A | 4 5 6 | 4 5 6 | | 4 5 6 | | | 5 | | | | 7 8 9 | 7 8 9 | | 7 8 9 | 8 | | | 7 | 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 3 | | 1 2 3 | 1 | | | | 1 2 3 | 1 2 3 | B | | 5 | 4 5 6 | | | | 4 | 4 5 6 | 4 5 6 | | | | 7 8 9 | | 7 | 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 | 3 | 1 2 3 | C | | 4 5 6 | | 4 5 6 | 5 | 4 5 6 | | | 4 5 6 | | 7 | 7 8 9 | 9 | 7 8 9 | | 7 8 9 | | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | | 3 | | 1 2 3 | 1 2 3 | | | 1 2 3 | D | | | | 5 | 4 5 6 | 4 5 6 | | 6 | 4 5 6 | | | 9 | | | 7 8 9 | 7 8 9 | 7 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | | | 1 2 3 | 1 | 3 | E | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | | | | 7 8 9 | 7 8 9 | 7 8 9 | 9 | 7 | 7 8 9 | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 3 | 1 | 1 2 3 | | | 1 2 3 | F | 4 5 6 | | 4 5 6 | | | 4 5 6 | | 5 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | | | 7 8 9 | 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | | 3 | | 1 2 3 | 1 2 3 | 1 | G | | 4 5 6 | 4 | | | 5 | 4 5 6 | 4 5 6 | | | 9 | 7 8 9 | | 7 | | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | 1 | 1 2 3 | | | H | 4 5 6 | | 5 | 4 5 6 | 4 5 6 | | 4 5 6 | | | | 7 8 9 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 | | | | 1 2 3 | 3 | 1 2 3 | | I | 4 5 6 | | | | 6 | 4 5 6 | | 4 5 6 | 5 | | 7 8 9 | | 7 | 9 | | 7 8 9 | | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in AL) will enslave (There is a 1 in row A) ...stopped looking for slaves... 149 Deductions found: 1. Since {(There is something in IR)} we know 1 of {5IR} are true. But those are a subset of {(There is a 5 in box 9)}. Therefore, we know that none of {5GP or 5GQ or 5HP or 5IQ} are true. 2. Since {(There is something in IR)} we know 1 of {5IR} 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} are true. 3. Since {(There is something in IR)} we know 1 of {5IR} are true. But those are a subset of {(There is a 5 in row I)}. Therefore, we know that none of {5IJ or 5IO or 5IQ} are true. 4. 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 3IQ} are true. 5. 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 {3EP or 3GP or 3HP} are true. 6. 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 {3IJ or 3IO or 3IQ} are true. 7. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in box 8)}. Therefore, we know that none of {6HM or 6HN or 6IO} are true. 8. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in column N)}. Therefore, we know that none of {6DN or 6HN} are true. 9. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IJ or 6IO or 6IQ} are true. 10. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9HM or 9HN or 9IO} are true. 11. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in column M)}. Therefore, we know that none of {9AM or 9CM or 9EM or 9HM} are true. 12. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in row I)}. Therefore, we know that none of {9IJ or 9IO or 9IQ} are true. 13. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GK or 7HJ or 7IJ} are true. 14. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7EL or 7FL} are true. 15. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in row I)}. Therefore, we know that none of {7IJ or 7IO or 7IQ} are true. 16. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in box 7)}. Therefore, we know that none of {1GK or 1HJ or 1IJ} are true. 17. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in column K)}. Therefore, we know that none of {1CK or 1EK or 1GK} are true. 18. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in row I)}. Therefore, we know that none of {1IJ or 1IO or 1IQ} are true. 19. Since {(There is something in HR)} we know 1 of {7HR} 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 7IQ} are true. 20. Since {(There is something in HR)} we know 1 of {7HR} 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} are true. 21. Since {(There is something in HR)} we know 1 of {7HR} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HM or 7HN or 7HP} are true. 22. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in box 9)}. Therefore, we know that none of {9GP or 9GQ or 9HP or 9IQ} are true. 23. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9BQ or 9GQ or 9IQ} are true. 24. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in row H)}. Therefore, we know that none of {9HJ or 9HM or 9HN or 9HP} are true. 25. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in box 8)}. Therefore, we know that none of {1HM or 1HN or 1IO} are true. 26. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in column O)}. Therefore, we know that none of {1CO or 1DO or 1FO or 1IO} are true. 27. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in row H)}. Therefore, we know that none of {1HJ or 1HM or 1HN or 1HP} are true. 28. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in box 7)}. Therefore, we know that none of {5GK or 5HJ or 5IJ} are true. 29. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in column L)}. Therefore, we know that none of {5BL or 5EL or 5FL} are true. 30. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HM or 5HN or 5HP} are true. 31. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in box 7)}. Therefore, we know that none of {3GK or 3HJ or 3IJ} are true. 32. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3CK or 3EK or 3GK} are true. 33. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in row H)}. Therefore, we know that none of {3HJ or 3HM or 3HN or 3HP} are true. 34. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in box 9)}. Therefore, we know that none of {1GP or 1GQ or 1HP or 1IQ} are true. 35. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in column R)}. Therefore, we know that none of {1BR or 1CR or 1DR or 1FR} are true. 36. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in row G)}. Therefore, we know that none of {1GK or 1GP or 1GQ} are true. 37. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5HM or 5HN or 5IO} are true. 38. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5CO or 5DO or 5FO or 5IO} are true. 39. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in row G)}. Therefore, we know that none of {5GK or 5GP or 5GQ} are true. 40. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in box 8)}. Therefore, we know that none of {3HM or 3HN or 3IO} are true. 41. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in column N)}. Therefore, we know that none of {3DN or 3HN} are true. 42. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in row G)}. Therefore, we know that none of {3GK or 3GP or 3GQ} are true. 43. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in box 8)}. Therefore, we know that none of {7HM or 7HN or 7IO} are true. 44. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in column M)}. Therefore, we know that none of {7AM or 7CM or 7EM or 7HM} are true. 45. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GK or 7GP or 7GQ} are true. 46. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in box 7)}. Therefore, we know that none of {4GK or 4HJ or 4IJ} are true. 47. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4EL or 4FL} are true. 48. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in row G)}. Therefore, we know that none of {4GK or 4GP or 4GQ} are true. 49. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in box 7)}. Therefore, we know that none of {9GK or 9HJ or 9IJ} are true. 50. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in column J)}. Therefore, we know that none of {9AJ or 9FJ or 9HJ or 9IJ} are true. 51. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GK or 9GP or 9GQ} are true. 52. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in box 6)}. Therefore, we know that none of {5DR or 5EP or 5FR} are true. 53. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in column Q)}. Therefore, we know that none of {5BQ or 5GQ or 5IQ} are true. 54. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in row F)}. Therefore, we know that none of {5FJ or 5FL or 5FO or 5FR} are true. 55. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DR or 9EP or 9FR} are true. 56. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in column P)}. Therefore, we know that none of {9EP or 9GP or 9HP} are true. 57. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FL or 9FO or 9FR} are true. 58. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in box 5)}. Therefore, we know that none of {1DN or 1DO or 1EM or 1FO} are true. 59. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in column N)}. Therefore, we know that none of {1DN or 1HN} are true. 60. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FL or 1FO or 1FR} are true. 61. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in box 5)}. Therefore, we know that none of {3DN or 3DO or 3EM or 3FO} are true. 62. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in column M)}. Therefore, we know that none of {3AM or 3CM or 3EM or 3HM} are true. 63. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in row F)}. Therefore, we know that none of {3FJ or 3FL or 3FO or 3FR} are true. 64. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7EK or 7EL or 7FJ or 7FL} are true. 65. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7CK or 7EK or 7GK} are true. 66. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in row F)}. Therefore, we know that none of {7FJ or 7FL or 7FO or 7FR} are true. 67. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in box 6)}. Therefore, we know that none of {3DR or 3EP or 3FR} are true. 68. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in column R)}. Therefore, we know that none of {3BR or 3CR or 3DR or 3FR} are true. 69. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in row E)}. Therefore, we know that none of {3EK or 3EL or 3EM or 3EP} are true. 70. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DR or 1EP or 1FR} are true. 71. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in column Q)}. Therefore, we know that none of {1BQ or 1GQ or 1IQ} are true. 72. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in row E)}. Therefore, we know that none of {1EK or 1EL or 1EM or 1EP} are true. 73. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in box 5)}. Therefore, we know that none of {7DN or 7DO or 7EM or 7FO} are true. 74. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in column O)}. Therefore, we know that none of {7CO or 7DO or 7FO or 7IO} are true. 75. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in row E)}. Therefore, we know that none of {7EK or 7EL or 7EM or 7EP} are true. 76. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in box 5)}. Therefore, we know that none of {9DN or 9DO or 9EM or 9FO} are true. 77. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9DN or 9HN} are true. 78. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in row E)}. Therefore, we know that none of {9EK or 9EL or 9EM or 9EP} are true. 79. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in box 4)}. Therefore, we know that none of {5EK or 5EL or 5FJ or 5FL} are true. 80. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in column J)}. Therefore, we know that none of {5AJ or 5FJ or 5HJ or 5IJ} are true. 81. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in row E)}. Therefore, we know that none of {5EK or 5EL or 5EM or 5EP} are true. 82. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in box 6)}. Therefore, we know that none of {6DR or 6EP or 6FR} are true. 83. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in column Q)}. Therefore, we know that none of {6BQ or 6GQ or 6IQ} are true. 84. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in row D)}. Therefore, we know that none of {6DN or 6DO or 6DR} are true. 85. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in box 6)}. Therefore, we know that none of {7DR or 7EP or 7FR} are true. 86. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in column P)}. Therefore, we know that none of {7EP or 7GP or 7HP} are true. 87. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DN or 7DO or 7DR} are true. 88. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in box 5)}. Therefore, we know that none of {5DN or 5DO or 5EM or 5FO} are true. 89. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in column M)}. Therefore, we know that none of {5AM or 5CM or 5EM or 5HM} are true. 90. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in row D)}. Therefore, we know that none of {5DN or 5DO or 5DR} are true. 91. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3EK or 3EL or 3FJ or 3FL} are true. 92. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in column L)}. Therefore, we know that none of {3BL or 3EL or 3FL} are true. 93. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DN or 3DO or 3DR} are true. 94. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in box 4)}. Therefore, we know that none of {9EK or 9EL or 9FJ or 9FL} are true. 95. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in column K)}. Therefore, we know that none of {9AK or 9CK or 9EK or 9GK} are true. 96. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in row D)}. Therefore, we know that none of {9DN or 9DO or 9DR} are true. 97. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in box 4)}. Therefore, we know that none of {1EK or 1EL or 1FJ or 1FL} are true. 98. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1FJ or 1HJ or 1IJ} are true. 99. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in row D)}. Therefore, we know that none of {1DN or 1DO or 1DR} are true. 100. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in box 3)}. Therefore, we know that none of {3BQ or 3BR or 3CR} are true. 101. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in column Q)}. Therefore, we know that none of {3BQ or 3GQ or 3IQ} are true. 102. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in row C)}. Therefore, we know that none of {3CK or 3CM or 3CO or 3CR} are true. 103. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in box 3)}. Therefore, we know that none of {1BQ or 1BR or 1CR} are true. 104. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1EP or 1GP or 1HP} are true. 105. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CM or 1CO or 1CR} are true. 106. 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 5CM or 5CO} are true. 107. 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 {5DN or 5HN} are true. 108. 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 5CM or 5CO or 5CR} are true. 109. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in box 1)}. Therefore, we know that none of {9AJ or 9AK or 9BL or 9CK} are true. 110. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in column L)}. Therefore, we know that none of {9BL or 9EL or 9FL} are true. 111. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in row C)}. Therefore, we know that none of {9CK or 9CM or 9CO or 9CR} are true. 112. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in box 1)}. Therefore, we know that none of {7AJ or 7AK or 7BL or 7CK} are true. 113. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in column J)}. Therefore, we know that none of {7AJ or 7FJ or 7HJ or 7IJ} are true. 114. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in row C)}. Therefore, we know that none of {7CK or 7CM or 7CO or 7CR} are true. 115. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BQ or 4BR or 4CR} are true. 116. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in column P)}. Therefore, we know that none of {4EP or 4GP or 4HP} are true. 117. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BL or 4BQ or 4BR} are true. 118. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in box 2)}. Therefore, we know that none of {9AM or 9CM or 9CO} are true. 119. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in column O)}. Therefore, we know that none of {9CO or 9DO or 9FO or 9IO} are true. 120. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in row B)}. Therefore, we know that none of {9BL or 9BQ or 9BR} are true. 121. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in box 2)}. Therefore, we know that none of {7AM or 7CM or 7CO} are true. 122. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in column N)}. Therefore, we know that none of {7DN or 7HN} are true. 123. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in row B)}. Therefore, we know that none of {7BL or 7BQ or 7BR} are true. 124. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in box 2)}. Therefore, we know that none of {1CM or 1CO} are true. 125. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in column M)}. Therefore, we know that none of {1CM or 1EM or 1HM} are true. 126. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in row B)}. Therefore, we know that none of {1BL or 1BQ or 1BR} are true. 127. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in box 1)}. Therefore, we know that none of {5AJ or 5AK or 5BL or 5CK} are true. 128. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in column K)}. Therefore, we know that none of {5AK or 5CK or 5EK or 5GK} are true. 129. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in row B)}. Therefore, we know that none of {5BL or 5BQ or 5BR} are true. 130. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in box 1)}. Therefore, we know that none of {3AJ or 3AK or 3BL or 3CK} are true. 131. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in column J)}. Therefore, we know that none of {3AJ or 3FJ or 3HJ or 3IJ} are true. 132. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in row B)}. Therefore, we know that none of {3BL or 3BQ or 3BR} are true. 133. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in box 3)}. Therefore, we know that none of {9BQ or 9BR or 9CR} are true. 134. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in column R)}. Therefore, we know that none of {9BR or 9CR or 9DR or 9FR} are true. 135. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in row A)}. Therefore, we know that none of {9AJ or 9AK or 9AM} are true. 136. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in box 3)}. Therefore, we know that none of {7BQ or 7BR or 7CR} are true. 137. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in column Q)}. Therefore, we know that none of {7BQ or 7GQ or 7IQ} are true. 138. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in row A)}. Therefore, we know that none of {7AJ or 7AK or 7AM} are true. 139. Since {(There is something in AP)} we know 1 of {5AP} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5BQ or 5BR or 5CR} are true. 140. Since {(There is something in AP)} we know 1 of {5AP} are true. But those are a subset of {(There is a 5 in column P)}. Therefore, we know that none of {5EP or 5GP or 5HP} are true. 141. Since {(There is something in AP)} we know 1 of {5AP} 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} are true. 142. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in box 2)}. Therefore, we know that none of {3AM or 3CM or 3CO} are true. 143. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in column O)}. Therefore, we know that none of {3CO or 3DO or 3FO or 3IO} are true. 144. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in row A)}. Therefore, we know that none of {3AJ or 3AK or 3AM} are true. 145. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8CM or 8CO} are true. 146. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in column N)}. Therefore, we know that none of {8DN or 8HN} are true. 147. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in row A)}. Therefore, we know that none of {8AJ or 8AK or 8AM} are true. 148. Since {(There is something in AL)} we know 1 of {1AL} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1BL or 1CK} are true. 149. Since {(There is something in AL)} we know 1 of {1AL} are true. But those are a subset of {(There is a 1 in column L)}. Therefore, we know that none of {1BL or 1EL or 1FL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 2 3 | 2 3 | 1 | 2 3 | | 3 | | | | A | 4 5 6 | 4 5 6 | | 4 5 6 | | | 5 | | | | 7 8 9 | 7 8 9 | | 7 8 9 | 8 | | | 7 | 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 3 | | 1 2 3 | 1 | | | | 1 2 3 | 1 2 3 | B | | 5 | 4 5 6 | | | | 4 | 4 5 6 | 4 5 6 | | | | 7 8 9 | | 7 | 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 | 3 | 1 2 3 | C | | 4 5 6 | | 4 5 6 | 5 | 4 5 6 | | | 4 5 6 | | 7 | 7 8 9 | 9 | 7 8 9 | | 7 8 9 | | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | | 3 | | 1 2 3 | 1 2 3 | | | 1 2 3 | D | | | | 5 | 4 5 6 | 4 5 6 | | 6 | 4 5 6 | | | 9 | | | 7 8 9 | 7 8 9 | 7 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | | | 1 2 3 | 1 | 3 | E | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | | | | 7 8 9 | 7 8 9 | 7 8 9 | 9 | 7 | 7 8 9 | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 3 | 1 | 1 2 3 | | | 1 2 3 | F | 4 5 6 | | 4 5 6 | | | 4 5 6 | | 5 | 4 5 6 | | 7 8 9 | 7 | 7 8 9 | | | 7 8 9 | 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | | 3 | | 1 2 3 | 1 2 3 | 1 | G | | 4 5 6 | 4 | | | 5 | 4 6 | 4 6 | | | 9 | 7 8 9 | | 7 | | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | 1 | 1 2 3 | | | H | 4 5 6 | | 5 | 4 5 6 | 4 5 6 | | 4 6 | | | | 7 8 9 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 | | | | 1 2 3 | 3 | 1 2 3 | | I | 4 5 6 | | | | 6 | 4 5 6 | | 4 6 | 5 | | 7 8 9 | | 7 | 9 | | 7 8 9 | | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IR) will enslave (There is a 5 in box 9) ...stopped looking for slaves... 148 Deductions found: 1. Since {(There is something in IR)} we know 1 of {5IR} 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} are true. 2. Since {(There is something in IR)} we know 1 of {5IR} are true. But those are a subset of {(There is a 5 in row I)}. Therefore, we know that none of {5IJ or 5IO} 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 box 9)}. Therefore, we know that none of {3GP or 3GQ or 3HP or 3IQ} are true. 4. 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 {3EP or 3GP or 3HP} are true. 5. 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 {3IJ or 3IO or 3IQ} are true. 6. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in box 8)}. Therefore, we know that none of {6HM or 6HN or 6IO} are true. 7. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in column N)}. Therefore, we know that none of {6DN or 6HN} are true. 8. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IJ or 6IO or 6IQ} are true. 9. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9HM or 9HN or 9IO} are true. 10. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in column M)}. Therefore, we know that none of {9AM or 9CM or 9EM or 9HM} are true. 11. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in row I)}. Therefore, we know that none of {9IJ or 9IO or 9IQ} are true. 12. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GK or 7HJ or 7IJ} are true. 13. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7EL or 7FL} are true. 14. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in row I)}. Therefore, we know that none of {7IJ or 7IO or 7IQ} are true. 15. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in box 7)}. Therefore, we know that none of {1GK or 1HJ or 1IJ} are true. 16. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in column K)}. Therefore, we know that none of {1CK or 1EK or 1GK} are true. 17. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in row I)}. Therefore, we know that none of {1IJ or 1IO or 1IQ} are true. 18. Since {(There is something in HR)} we know 1 of {7HR} 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 7IQ} are true. 19. Since {(There is something in HR)} we know 1 of {7HR} 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} are true. 20. Since {(There is something in HR)} we know 1 of {7HR} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HM or 7HN or 7HP} are true. 21. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in box 9)}. Therefore, we know that none of {9GP or 9GQ or 9HP or 9IQ} are true. 22. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9BQ or 9GQ or 9IQ} are true. 23. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in row H)}. Therefore, we know that none of {9HJ or 9HM or 9HN or 9HP} are true. 24. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in box 8)}. Therefore, we know that none of {1HM or 1HN or 1IO} are true. 25. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in column O)}. Therefore, we know that none of {1CO or 1DO or 1FO or 1IO} are true. 26. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in row H)}. Therefore, we know that none of {1HJ or 1HM or 1HN or 1HP} are true. 27. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in box 7)}. Therefore, we know that none of {5GK or 5HJ or 5IJ} are true. 28. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in column L)}. Therefore, we know that none of {5BL or 5EL or 5FL} are true. 29. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HM or 5HN} are true. 30. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in box 7)}. Therefore, we know that none of {3GK or 3HJ or 3IJ} are true. 31. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3CK or 3EK or 3GK} are true. 32. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in row H)}. Therefore, we know that none of {3HJ or 3HM or 3HN or 3HP} are true. 33. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in box 9)}. Therefore, we know that none of {1GP or 1GQ or 1HP or 1IQ} are true. 34. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in column R)}. Therefore, we know that none of {1BR or 1CR or 1DR or 1FR} are true. 35. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in row G)}. Therefore, we know that none of {1GK or 1GP or 1GQ} are true. 36. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5HM or 5HN or 5IO} are true. 37. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5CO or 5DO or 5FO or 5IO} are true. 38. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in row G)}. Therefore, we know that none of {5GK} are true. 39. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in box 8)}. Therefore, we know that none of {3HM or 3HN or 3IO} are true. 40. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in column N)}. Therefore, we know that none of {3DN or 3HN} are true. 41. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in row G)}. Therefore, we know that none of {3GK or 3GP or 3GQ} are true. 42. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in box 8)}. Therefore, we know that none of {7HM or 7HN or 7IO} are true. 43. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in column M)}. Therefore, we know that none of {7AM or 7CM or 7EM or 7HM} are true. 44. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GK or 7GP or 7GQ} are true. 45. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in box 7)}. Therefore, we know that none of {4GK or 4HJ or 4IJ} are true. 46. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4EL or 4FL} are true. 47. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in row G)}. Therefore, we know that none of {4GK or 4GP or 4GQ} are true. 48. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in box 7)}. Therefore, we know that none of {9GK or 9HJ or 9IJ} are true. 49. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in column J)}. Therefore, we know that none of {9AJ or 9FJ or 9HJ or 9IJ} are true. 50. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GK or 9GP or 9GQ} are true. 51. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in box 6)}. Therefore, we know that none of {5DR or 5EP or 5FR} are true. 52. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in column Q)}. Therefore, we know that none of {5BQ} are true. 53. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in row F)}. Therefore, we know that none of {5FJ or 5FL or 5FO or 5FR} are true. 54. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DR or 9EP or 9FR} are true. 55. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in column P)}. Therefore, we know that none of {9EP or 9GP or 9HP} are true. 56. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FL or 9FO or 9FR} are true. 57. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in box 5)}. Therefore, we know that none of {1DN or 1DO or 1EM or 1FO} are true. 58. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in column N)}. Therefore, we know that none of {1DN or 1HN} are true. 59. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FL or 1FO or 1FR} are true. 60. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in box 5)}. Therefore, we know that none of {3DN or 3DO or 3EM or 3FO} are true. 61. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in column M)}. Therefore, we know that none of {3AM or 3CM or 3EM or 3HM} are true. 62. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in row F)}. Therefore, we know that none of {3FJ or 3FL or 3FO or 3FR} are true. 63. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7EK or 7EL or 7FJ or 7FL} are true. 64. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7CK or 7EK or 7GK} are true. 65. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in row F)}. Therefore, we know that none of {7FJ or 7FL or 7FO or 7FR} are true. 66. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in box 6)}. Therefore, we know that none of {3DR or 3EP or 3FR} are true. 67. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in column R)}. Therefore, we know that none of {3BR or 3CR or 3DR or 3FR} are true. 68. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in row E)}. Therefore, we know that none of {3EK or 3EL or 3EM or 3EP} are true. 69. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DR or 1EP or 1FR} are true. 70. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in column Q)}. Therefore, we know that none of {1BQ or 1GQ or 1IQ} are true. 71. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in row E)}. Therefore, we know that none of {1EK or 1EL or 1EM or 1EP} are true. 72. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in box 5)}. Therefore, we know that none of {7DN or 7DO or 7EM or 7FO} are true. 73. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in column O)}. Therefore, we know that none of {7CO or 7DO or 7FO or 7IO} are true. 74. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in row E)}. Therefore, we know that none of {7EK or 7EL or 7EM or 7EP} are true. 75. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in box 5)}. Therefore, we know that none of {9DN or 9DO or 9EM or 9FO} are true. 76. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9DN or 9HN} are true. 77. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in row E)}. Therefore, we know that none of {9EK or 9EL or 9EM or 9EP} are true. 78. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in box 4)}. Therefore, we know that none of {5EK or 5EL or 5FJ or 5FL} are true. 79. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in column J)}. Therefore, we know that none of {5AJ or 5FJ or 5HJ or 5IJ} are true. 80. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in row E)}. Therefore, we know that none of {5EK or 5EL or 5EM or 5EP} are true. 81. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in box 6)}. Therefore, we know that none of {6DR or 6EP or 6FR} are true. 82. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in column Q)}. Therefore, we know that none of {6BQ or 6GQ or 6IQ} are true. 83. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in row D)}. Therefore, we know that none of {6DN or 6DO or 6DR} are true. 84. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in box 6)}. Therefore, we know that none of {7DR or 7EP or 7FR} are true. 85. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in column P)}. Therefore, we know that none of {7EP or 7GP or 7HP} are true. 86. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DN or 7DO or 7DR} are true. 87. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in box 5)}. Therefore, we know that none of {5DN or 5DO or 5EM or 5FO} are true. 88. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in column M)}. Therefore, we know that none of {5AM or 5CM or 5EM or 5HM} are true. 89. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in row D)}. Therefore, we know that none of {5DN or 5DO or 5DR} are true. 90. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3EK or 3EL or 3FJ or 3FL} are true. 91. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in column L)}. Therefore, we know that none of {3BL or 3EL or 3FL} are true. 92. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DN or 3DO or 3DR} are true. 93. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in box 4)}. Therefore, we know that none of {9EK or 9EL or 9FJ or 9FL} are true. 94. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in column K)}. Therefore, we know that none of {9AK or 9CK or 9EK or 9GK} are true. 95. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in row D)}. Therefore, we know that none of {9DN or 9DO or 9DR} are true. 96. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in box 4)}. Therefore, we know that none of {1EK or 1EL or 1FJ or 1FL} are true. 97. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1FJ or 1HJ or 1IJ} are true. 98. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in row D)}. Therefore, we know that none of {1DN or 1DO or 1DR} are true. 99. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in box 3)}. Therefore, we know that none of {3BQ or 3BR or 3CR} are true. 100. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in column Q)}. Therefore, we know that none of {3BQ or 3GQ or 3IQ} are true. 101. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in row C)}. Therefore, we know that none of {3CK or 3CM or 3CO or 3CR} are true. 102. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in box 3)}. Therefore, we know that none of {1BQ or 1BR or 1CR} are true. 103. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1EP or 1GP or 1HP} are true. 104. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CM or 1CO or 1CR} are true. 105. 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 5CM or 5CO} are true. 106. 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 {5DN or 5HN} are true. 107. 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 5CM or 5CO or 5CR} are true. 108. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in box 1)}. Therefore, we know that none of {9AJ or 9AK or 9BL or 9CK} are true. 109. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in column L)}. Therefore, we know that none of {9BL or 9EL or 9FL} are true. 110. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in row C)}. Therefore, we know that none of {9CK or 9CM or 9CO or 9CR} are true. 111. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in box 1)}. Therefore, we know that none of {7AJ or 7AK or 7BL or 7CK} are true. 112. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in column J)}. Therefore, we know that none of {7AJ or 7FJ or 7HJ or 7IJ} are true. 113. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in row C)}. Therefore, we know that none of {7CK or 7CM or 7CO or 7CR} are true. 114. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BQ or 4BR or 4CR} are true. 115. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in column P)}. Therefore, we know that none of {4EP or 4GP or 4HP} are true. 116. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BL or 4BQ or 4BR} are true. 117. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in box 2)}. Therefore, we know that none of {9AM or 9CM or 9CO} are true. 118. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in column O)}. Therefore, we know that none of {9CO or 9DO or 9FO or 9IO} are true. 119. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in row B)}. Therefore, we know that none of {9BL or 9BQ or 9BR} are true. 120. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in box 2)}. Therefore, we know that none of {7AM or 7CM or 7CO} are true. 121. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in column N)}. Therefore, we know that none of {7DN or 7HN} are true. 122. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in row B)}. Therefore, we know that none of {7BL or 7BQ or 7BR} are true. 123. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in box 2)}. Therefore, we know that none of {1CM or 1CO} are true. 124. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in column M)}. Therefore, we know that none of {1CM or 1EM or 1HM} are true. 125. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in row B)}. Therefore, we know that none of {1BL or 1BQ or 1BR} are true. 126. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in box 1)}. Therefore, we know that none of {5AJ or 5AK or 5BL or 5CK} are true. 127. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in column K)}. Therefore, we know that none of {5AK or 5CK or 5EK or 5GK} are true. 128. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in row B)}. Therefore, we know that none of {5BL or 5BQ or 5BR} are true. 129. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in box 1)}. Therefore, we know that none of {3AJ or 3AK or 3BL or 3CK} are true. 130. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in column J)}. Therefore, we know that none of {3AJ or 3FJ or 3HJ or 3IJ} are true. 131. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in row B)}. Therefore, we know that none of {3BL or 3BQ or 3BR} are true. 132. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in box 3)}. Therefore, we know that none of {9BQ or 9BR or 9CR} are true. 133. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in column R)}. Therefore, we know that none of {9BR or 9CR or 9DR or 9FR} are true. 134. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in row A)}. Therefore, we know that none of {9AJ or 9AK or 9AM} are true. 135. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in box 3)}. Therefore, we know that none of {7BQ or 7BR or 7CR} are true. 136. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in column Q)}. Therefore, we know that none of {7BQ or 7GQ or 7IQ} are true. 137. Since {(There is something in AQ)} we know 1 of {7AQ} are true. But those are a subset of {(There is a 7 in row A)}. Therefore, we know that none of {7AJ or 7AK or 7AM} are true. 138. Since {(There is something in AP)} we know 1 of {5AP} are true. But those are a subset of {(There is a 5 in box 3)}. Therefore, we know that none of {5BQ or 5BR or 5CR} are true. 139. Since {(There is something in AP)} we know 1 of {5AP} are true. But those are a subset of {(There is a 5 in column P)}. Therefore, we know that none of {5EP} are true. 140. Since {(There is something in AP)} we know 1 of {5AP} 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} are true. 141. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in box 2)}. Therefore, we know that none of {3AM or 3CM or 3CO} are true. 142. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in column O)}. Therefore, we know that none of {3CO or 3DO or 3FO or 3IO} are true. 143. Since {(There is something in AO)} we know 1 of {3AO} are true. But those are a subset of {(There is a 3 in row A)}. Therefore, we know that none of {3AJ or 3AK or 3AM} are true. 144. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in box 2)}. Therefore, we know that none of {8AM or 8CM or 8CO} are true. 145. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in column N)}. Therefore, we know that none of {8DN or 8HN} are true. 146. Since {(There is something in AN)} we know 1 of {8AN} are true. But those are a subset of {(There is a 8 in row A)}. Therefore, we know that none of {8AJ or 8AK or 8AM} are true. 147. Since {(There is something in AL)} we know 1 of {1AL} are true. But those are a subset of {(There is a 1 in box 1)}. Therefore, we know that none of {1BL or 1CK} are true. 148. Since {(There is something in AL)} we know 1 of {1AL} are true. But those are a subset of {(There is a 1 in column L)}. Therefore, we know that none of {1BL or 1EL or 1FL} are true. Choosing the first deduction to implement... J K L M N O P Q R +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 2 3 | 2 3 | 1 | 2 3 | | 3 | | | | A | 4 5 6 | 4 5 6 | | 4 5 6 | | | 5 | | | | 7 8 9 | 7 8 9 | | 7 8 9 | 8 | | | 7 | 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 3 | | 1 2 3 | 1 | | | | 1 2 3 | 1 2 3 | B | | 5 | 4 5 6 | | | | 4 | 4 5 6 | 4 6 | | | | 7 8 9 | | 7 | 9 | | 7 8 9 | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | 1 2 3 | | 1 2 3 | 1 | 3 | 1 2 3 | C | | 4 5 6 | | 4 5 6 | 5 | 4 5 6 | | | 4 6 | | 7 | 7 8 9 | 9 | 7 8 9 | | 7 8 9 | | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | | 3 | | 1 2 3 | 1 2 3 | | | 1 2 3 | D | | | | 5 | 4 5 6 | 4 5 6 | | 6 | 4 6 | | | 9 | | | 7 8 9 | 7 8 9 | 7 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | 1 2 3 | 1 2 3 | | | 1 2 3 | 1 | 3 | E | 5 | 4 5 6 | 4 5 6 | 4 5 6 | | | 4 5 6 | | | | | 7 8 9 | 7 8 9 | 7 8 9 | 9 | 7 | 7 8 9 | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | | 1 2 3 | 3 | 1 | 1 2 3 | | | 1 2 3 | F | 4 5 6 | | 4 5 6 | | | 4 5 6 | | 5 | 4 6 | | 7 8 9 | 7 | 7 8 9 | | | 7 8 9 | 9 | | 7 8 9 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | 1 2 3 | | | 3 | | 1 2 3 | 1 2 3 | 1 | G | | 4 5 6 | 4 | | | 5 | 4 6 | 4 6 | | | 9 | 7 8 9 | | 7 | | | 7 8 9 | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 3 | | 1 2 3 | 1 2 3 | 1 | 1 2 3 | | | H | 4 5 6 | | 5 | 4 5 6 | 4 5 6 | | 4 6 | | | | 7 8 9 | | | 7 8 9 | 7 8 9 | | 7 8 9 | 9 | 7 | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 2 3 | 1 | | | | 1 2 3 | 3 | 1 2 3 | | I | 4 5 6 | | | | 6 | 4 5 6 | | 4 6 | 5 | | 7 8 9 | | 7 | 9 | | 7 8 9 | | 7 8 9 | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ ...Looking for slaves... (There is something in IR) will enslave (There is a 5 in column R) ...stopped looking for slaves... 148 Deductions found: 1. Since {(There is a 5 in row D)} we know 1 of {5DM or 5DN or 5DO} are true. But those are a subset of {(There is a 5 in box 5)}. Therefore, we know that none of {5EM or 5FO} are true. 2. Since {(There is something in IR)} we know 1 of {5IR} are true. But those are a subset of {(There is a 5 in row I)}. Therefore, we know that none of {5IJ or 5IO} 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 box 9)}. Therefore, we know that none of {3GP or 3GQ or 3HP or 3IQ} are true. 4. 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 {3EP or 3GP or 3HP} are true. 5. 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 {3IJ or 3IO or 3IQ} are true. 6. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in box 8)}. Therefore, we know that none of {6HM or 6HN or 6IO} are true. 7. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in column N)}. Therefore, we know that none of {6DN or 6HN} are true. 8. Since {(There is something in IN)} we know 1 of {6IN} are true. But those are a subset of {(There is a 6 in row I)}. Therefore, we know that none of {6IJ or 6IO or 6IQ} are true. 9. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in box 8)}. Therefore, we know that none of {9HM or 9HN or 9IO} are true. 10. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in column M)}. Therefore, we know that none of {9AM or 9CM or 9EM or 9HM} are true. 11. Since {(There is something in IM)} we know 1 of {9IM} are true. But those are a subset of {(There is a 9 in row I)}. Therefore, we know that none of {9IJ or 9IO or 9IQ} are true. 12. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in box 7)}. Therefore, we know that none of {7GK or 7HJ or 7IJ} are true. 13. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in column L)}. Therefore, we know that none of {7BL or 7EL or 7FL} are true. 14. Since {(There is something in IL)} we know 1 of {7IL} are true. But those are a subset of {(There is a 7 in row I)}. Therefore, we know that none of {7IJ or 7IO or 7IQ} are true. 15. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in box 7)}. Therefore, we know that none of {1GK or 1HJ or 1IJ} are true. 16. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in column K)}. Therefore, we know that none of {1CK or 1EK or 1GK} are true. 17. Since {(There is something in IK)} we know 1 of {1IK} are true. But those are a subset of {(There is a 1 in row I)}. Therefore, we know that none of {1IJ or 1IO or 1IQ} are true. 18. Since {(There is something in HR)} we know 1 of {7HR} 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 7IQ} are true. 19. Since {(There is something in HR)} we know 1 of {7HR} 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} are true. 20. Since {(There is something in HR)} we know 1 of {7HR} are true. But those are a subset of {(There is a 7 in row H)}. Therefore, we know that none of {7HJ or 7HM or 7HN or 7HP} are true. 21. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in box 9)}. Therefore, we know that none of {9GP or 9GQ or 9HP or 9IQ} are true. 22. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in column Q)}. Therefore, we know that none of {9BQ or 9GQ or 9IQ} are true. 23. Since {(There is something in HQ)} we know 1 of {9HQ} are true. But those are a subset of {(There is a 9 in row H)}. Therefore, we know that none of {9HJ or 9HM or 9HN or 9HP} are true. 24. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in box 8)}. Therefore, we know that none of {1HM or 1HN or 1IO} are true. 25. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in column O)}. Therefore, we know that none of {1CO or 1DO or 1FO or 1IO} are true. 26. Since {(There is something in HO)} we know 1 of {1HO} are true. But those are a subset of {(There is a 1 in row H)}. Therefore, we know that none of {1HJ or 1HM or 1HN or 1HP} are true. 27. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in box 7)}. Therefore, we know that none of {5GK or 5HJ or 5IJ} are true. 28. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in column L)}. Therefore, we know that none of {5BL or 5EL or 5FL} are true. 29. Since {(There is something in HL)} we know 1 of {5HL} are true. But those are a subset of {(There is a 5 in row H)}. Therefore, we know that none of {5HJ or 5HM or 5HN} are true. 30. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in box 7)}. Therefore, we know that none of {3GK or 3HJ or 3IJ} are true. 31. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in column K)}. Therefore, we know that none of {3AK or 3CK or 3EK or 3GK} are true. 32. Since {(There is something in HK)} we know 1 of {3HK} are true. But those are a subset of {(There is a 3 in row H)}. Therefore, we know that none of {3HJ or 3HM or 3HN or 3HP} are true. 33. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in box 9)}. Therefore, we know that none of {1GP or 1GQ or 1HP or 1IQ} are true. 34. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in column R)}. Therefore, we know that none of {1BR or 1CR or 1DR or 1FR} are true. 35. Since {(There is something in GR)} we know 1 of {1GR} are true. But those are a subset of {(There is a 1 in row G)}. Therefore, we know that none of {1GK or 1GP or 1GQ} are true. 36. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in box 8)}. Therefore, we know that none of {5HM or 5HN or 5IO} are true. 37. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in column O)}. Therefore, we know that none of {5CO or 5DO or 5FO or 5IO} are true. 38. Since {(There is something in GO)} we know 1 of {5GO} are true. But those are a subset of {(There is a 5 in row G)}. Therefore, we know that none of {5GK} are true. 39. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in box 8)}. Therefore, we know that none of {3HM or 3HN or 3IO} are true. 40. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in column N)}. Therefore, we know that none of {3DN or 3HN} are true. 41. Since {(There is something in GN)} we know 1 of {3GN} are true. But those are a subset of {(There is a 3 in row G)}. Therefore, we know that none of {3GK or 3GP or 3GQ} are true. 42. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in box 8)}. Therefore, we know that none of {7HM or 7HN or 7IO} are true. 43. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in column M)}. Therefore, we know that none of {7AM or 7CM or 7EM or 7HM} are true. 44. Since {(There is something in GM)} we know 1 of {7GM} are true. But those are a subset of {(There is a 7 in row G)}. Therefore, we know that none of {7GK or 7GP or 7GQ} are true. 45. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in box 7)}. Therefore, we know that none of {4GK or 4HJ or 4IJ} are true. 46. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in column L)}. Therefore, we know that none of {4BL or 4EL or 4FL} are true. 47. Since {(There is something in GL)} we know 1 of {4GL} are true. But those are a subset of {(There is a 4 in row G)}. Therefore, we know that none of {4GK or 4GP or 4GQ} are true. 48. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in box 7)}. Therefore, we know that none of {9GK or 9HJ or 9IJ} are true. 49. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in column J)}. Therefore, we know that none of {9AJ or 9FJ or 9HJ or 9IJ} are true. 50. Since {(There is something in GJ)} we know 1 of {9GJ} are true. But those are a subset of {(There is a 9 in row G)}. Therefore, we know that none of {9GK or 9GP or 9GQ} are true. 51. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in box 6)}. Therefore, we know that none of {5EP} are true. 52. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in column Q)}. Therefore, we know that none of {5BQ} are true. 53. Since {(There is something in FQ)} we know 1 of {5FQ} are true. But those are a subset of {(There is a 5 in row F)}. Therefore, we know that none of {5FJ or 5FL or 5FO} are true. 54. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in box 6)}. Therefore, we know that none of {9DR or 9EP or 9FR} are true. 55. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in column P)}. Therefore, we know that none of {9EP or 9GP or 9HP} are true. 56. Since {(There is something in FP)} we know 1 of {9FP} are true. But those are a subset of {(There is a 9 in row F)}. Therefore, we know that none of {9FJ or 9FL or 9FO or 9FR} are true. 57. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in box 5)}. Therefore, we know that none of {1DN or 1DO or 1EM or 1FO} are true. 58. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in column N)}. Therefore, we know that none of {1DN or 1HN} are true. 59. Since {(There is something in FN)} we know 1 of {1FN} are true. But those are a subset of {(There is a 1 in row F)}. Therefore, we know that none of {1FJ or 1FL or 1FO or 1FR} are true. 60. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in box 5)}. Therefore, we know that none of {3DN or 3DO or 3EM or 3FO} are true. 61. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in column M)}. Therefore, we know that none of {3AM or 3CM or 3EM or 3HM} are true. 62. Since {(There is something in FM)} we know 1 of {3FM} are true. But those are a subset of {(There is a 3 in row F)}. Therefore, we know that none of {3FJ or 3FL or 3FO or 3FR} are true. 63. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in box 4)}. Therefore, we know that none of {7EK or 7EL or 7FJ or 7FL} are true. 64. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in column K)}. Therefore, we know that none of {7AK or 7CK or 7EK or 7GK} are true. 65. Since {(There is something in FK)} we know 1 of {7FK} are true. But those are a subset of {(There is a 7 in row F)}. Therefore, we know that none of {7FJ or 7FL or 7FO or 7FR} are true. 66. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in box 6)}. Therefore, we know that none of {3DR or 3EP or 3FR} are true. 67. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in column R)}. Therefore, we know that none of {3BR or 3CR or 3DR or 3FR} are true. 68. Since {(There is something in ER)} we know 1 of {3ER} are true. But those are a subset of {(There is a 3 in row E)}. Therefore, we know that none of {3EK or 3EL or 3EM or 3EP} are true. 69. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in box 6)}. Therefore, we know that none of {1DR or 1EP or 1FR} are true. 70. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in column Q)}. Therefore, we know that none of {1BQ or 1GQ or 1IQ} are true. 71. Since {(There is something in EQ)} we know 1 of {1EQ} are true. But those are a subset of {(There is a 1 in row E)}. Therefore, we know that none of {1EK or 1EL or 1EM or 1EP} are true. 72. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in box 5)}. Therefore, we know that none of {7DN or 7DO or 7EM or 7FO} are true. 73. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in column O)}. Therefore, we know that none of {7CO or 7DO or 7FO or 7IO} are true. 74. Since {(There is something in EO)} we know 1 of {7EO} are true. But those are a subset of {(There is a 7 in row E)}. Therefore, we know that none of {7EK or 7EL or 7EM or 7EP} are true. 75. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in box 5)}. Therefore, we know that none of {9DN or 9DO or 9EM or 9FO} are true. 76. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in column N)}. Therefore, we know that none of {9DN or 9HN} are true. 77. Since {(There is something in EN)} we know 1 of {9EN} are true. But those are a subset of {(There is a 9 in row E)}. Therefore, we know that none of {9EK or 9EL or 9EM or 9EP} are true. 78. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in box 4)}. Therefore, we know that none of {5EK or 5EL or 5FJ or 5FL} are true. 79. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in column J)}. Therefore, we know that none of {5AJ or 5FJ or 5HJ or 5IJ} are true. 80. Since {(There is something in EJ)} we know 1 of {5EJ} are true. But those are a subset of {(There is a 5 in row E)}. Therefore, we know that none of {5EK or 5EL or 5EM or 5EP} are true. 81. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in box 6)}. Therefore, we know that none of {6DR or 6EP or 6FR} are true. 82. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in column Q)}. Therefore, we know that none of {6BQ or 6GQ or 6IQ} are true. 83. Since {(There is something in DQ)} we know 1 of {6DQ} are true. But those are a subset of {(There is a 6 in row D)}. Therefore, we know that none of {6DN or 6DO or 6DR} are true. 84. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in box 6)}. Therefore, we know that none of {7DR or 7EP or 7FR} are true. 85. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in column P)}. Therefore, we know that none of {7EP or 7GP or 7HP} are true. 86. Since {(There is something in DP)} we know 1 of {7DP} are true. But those are a subset of {(There is a 7 in row D)}. Therefore, we know that none of {7DN or 7DO or 7DR} are true. 87. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in box 5)}. Therefore, we know that none of {5DN or 5DO or 5EM or 5FO} are true. 88. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in column M)}. Therefore, we know that none of {5AM or 5CM or 5EM or 5HM} are true. 89. Since {(There is something in DM)} we know 1 of {5DM} are true. But those are a subset of {(There is a 5 in row D)}. Therefore, we know that none of {5DN or 5DO} are true. 90. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in box 4)}. Therefore, we know that none of {3EK or 3EL or 3FJ or 3FL} are true. 91. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in column L)}. Therefore, we know that none of {3BL or 3EL or 3FL} are true. 92. Since {(There is something in DL)} we know 1 of {3DL} are true. But those are a subset of {(There is a 3 in row D)}. Therefore, we know that none of {3DN or 3DO or 3DR} are true. 93. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in box 4)}. Therefore, we know that none of {9EK or 9EL or 9FJ or 9FL} are true. 94. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in column K)}. Therefore, we know that none of {9AK or 9CK or 9EK or 9GK} are true. 95. Since {(There is something in DK)} we know 1 of {9DK} are true. But those are a subset of {(There is a 9 in row D)}. Therefore, we know that none of {9DN or 9DO or 9DR} are true. 96. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in box 4)}. Therefore, we know that none of {1EK or 1EL or 1FJ or 1FL} are true. 97. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in column J)}. Therefore, we know that none of {1FJ or 1HJ or 1IJ} are true. 98. Since {(There is something in DJ)} we know 1 of {1DJ} are true. But those are a subset of {(There is a 1 in row D)}. Therefore, we know that none of {1DN or 1DO or 1DR} are true. 99. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in box 3)}. Therefore, we know that none of {3BQ or 3BR or 3CR} are true. 100. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in column Q)}. Therefore, we know that none of {3BQ or 3GQ or 3IQ} are true. 101. Since {(There is something in CQ)} we know 1 of {3CQ} are true. But those are a subset of {(There is a 3 in row C)}. Therefore, we know that none of {3CK or 3CM or 3CO or 3CR} are true. 102. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in box 3)}. Therefore, we know that none of {1BQ or 1BR or 1CR} are true. 103. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in column P)}. Therefore, we know that none of {1EP or 1GP or 1HP} are true. 104. Since {(There is something in CP)} we know 1 of {1CP} are true. But those are a subset of {(There is a 1 in row C)}. Therefore, we know that none of {1CK or 1CM or 1CO or 1CR} are true. 105. 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 5CM or 5CO} are true. 106. 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 {5DN or 5HN} are true. 107. 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 5CM or 5CO} are true. 108. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in box 1)}. Therefore, we know that none of {9AJ or 9AK or 9BL or 9CK} are true. 109. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in column L)}. Therefore, we know that none of {9BL or 9EL or 9FL} are true. 110. Since {(There is something in CL)} we know 1 of {9CL} are true. But those are a subset of {(There is a 9 in row C)}. Therefore, we know that none of {9CK or 9CM or 9CO or 9CR} are true. 111. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in box 1)}. Therefore, we know that none of {7AJ or 7AK or 7BL or 7CK} are true. 112. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in column J)}. Therefore, we know that none of {7AJ or 7FJ or 7HJ or 7IJ} are true. 113. Since {(There is something in CJ)} we know 1 of {7CJ} are true. But those are a subset of {(There is a 7 in row C)}. Therefore, we know that none of {7CK or 7CM or 7CO or 7CR} are true. 114. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in box 3)}. Therefore, we know that none of {4BQ or 4BR or 4CR} are true. 115. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in column P)}. Therefore, we know that none of {4EP or 4GP or 4HP} are true. 116. Since {(There is something in BP)} we know 1 of {4BP} are true. But those are a subset of {(There is a 4 in row B)}. Therefore, we know that none of {4BL or 4BQ or 4BR} are true. 117. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in box 2)}. Therefore, we know that none of {9AM or 9CM or 9CO} are true. 118. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in column O)}. Therefore, we know that none of {9CO or 9DO or 9FO or 9IO} are true. 119. Since {(There is something in BO)} we know 1 of {9BO} are true. But those are a subset of {(There is a 9 in row B)}. Therefore, we know that none of {9BL or 9BQ or 9BR} are true. 120. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in box 2)}. Therefore, we know that none of {7AM or 7CM or 7CO} are true. 121. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in column N)}. Therefore, we know that none of {7DN or 7HN} are true. 122. Since {(There is something in BN)} we know 1 of {7BN} are true. But those are a subset of {(There is a 7 in row B)}. Therefore, we know that none of {7BL or 7BQ or 7BR} are true. 123. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in box 2)}. Therefore, we know that none of {1CM or 1CO} are true. 124. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in column M)}. Therefore, we know that none of {1CM or 1EM or 1HM} are true. 125. Since {(There is something in BM)} we know 1 of {1BM} are true. But those are a subset of {(There is a 1 in row B)}. Therefore, we know that none of {1BL or 1BQ or 1BR} are true. 126. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in box 1)}. Therefore, we know that none of {5AJ or 5AK or 5BL or 5CK} are true. 127. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in column K)}. Therefore, we know that none of {5AK or 5CK or 5EK or 5GK} are true. 128. Since {(There is something in BK)} we know 1 of {5BK} are true. But those are a subset of {(There is a 5 in row B)}. Therefore, we know that none of {5BL or 5BQ} are true. 129. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in box 1)}. Therefore, we know that none of {3AJ or 3AK or 3BL or 3CK} are true. 130. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in column J)}. Therefore, we know that none of {3AJ or 3FJ or 3HJ or 3IJ} are true. 131. Since {(There is something in BJ)} we know 1 of {3BJ} are true. But those are a subset of {(There is a 3 in row B)}. Therefore, we know that none of {3BL or 3BQ or 3BR} are true. 132. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of {(There is a 9 in box 3)}. Therefore, we know that none of {9BQ or 9BR or 9CR} are true. 133. Since {(There is something in AR)} we know 1 of {9AR} are true. But those are a subset of