| Junior Puzzle #14 - One Possible Solution Approach… | ||||||||||||
| NB: There is only one final solution to this Sudoku puzzle… | ||||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | ||||||||||||
| 2 | AA | BB | CC | Reference to 3x3 Blocks AA, BB & CC | ||||||||
| 3 | ||||||||||||
| 4 | ||||||||||||
| 5 | DD | EE | FF | Reference to 3x3 Blocks DD, EE & FF | ||||||||
| 6 | ||||||||||||
| 7 | ||||||||||||
| 8 | GG | HH | II | Reference to 3x3 Blocks GG, HH & II | ||||||||
| 9 | ||||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Junior Puzzle #14 - November 20, 2005 | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | Original puzzle as published © joe-ks.com | ||
| 3 | 2 | 9 | 8 | 6 | ||||||||
| 4 | 7 | 1 | 3 | 2 | 6 | 5 | 9 | |||||
| 5 | 6 | 5 | 4 | 1 | 7 | 3 | 8 | |||||
| 6 | 4 | 3 | 1 | 7 | ||||||||
| 7 | 5 | 4 | 7 | 3 | 9 | 2 | 1 | |||||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Step 1: Complete Block AA: #5 MUST go in Cell C3... | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | |||
| 3 | 2 | 9 | 5 | 3 | 8 | 6 | Step 2: Complete Block CC: #3 MUST go in Cell G3... | |||||
| 4 | 7 | 1 | 3 | 2 | 6 | 5 | 9 | |||||
| 5 | 6 | 5 | 4 | 1 | 7 | 3 | 8 | |||||
| 6 | 4 | 3 | 1 | 7 | ||||||||
| 7 | 5 | 4 | 7 | 3 | 9 | 2 | 1 | |||||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Step 3: Complete Column E: need #s 7 & 8… | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | #7 can't go in Cell E6 (cf #7 in row 6 @ I6), so | ||
| 3 | 2 | 9 | 5 | 7 | 3 | 8 | 6 | #7 MUST go in Cell E3, & therefore #8 MUST go in Cell E6 | ||||
| 4 | 7 | 1 | 3 | 2 | 6 | 5 | 9 | |||||
| 5 | 6 | 5 | 4 | 1 | 7 | 3 | 8 | Step 4: #8 is now in Columns D & E: #8 MUST go in Cell F7... | ||||
| 6 | 4 | 3 | 8 | 1 | 7 | |||||||
| 7 | 5 | 4 | 7 | 3 | 8 | 9 | 2 | 1 | ||||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Step 5: Complete Block HH: #6 MUST go in Cell D7... | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | |||
| 3 | 2 | 9 | 5 | 1 | 7 | 4 | 3 | 8 | 6 | Step 6: Complete Block BB: need #s 1 & 4… | ||
| 4 | 7 | 1 | 3 | 2 | 6 | 5 | 9 | #4 can't go in Cell D3 (cf #4 in Column D @ D5), so | ||||
| 5 | 6 | 5 | 4 | 1 | 7 | 3 | 8 | #4 MUST go in Cell F3, & therefore #1 MUST go in Cell D3 | ||||
| 6 | 4 | 3 | 8 | 1 | 7 | |||||||
| 7 | 5 | 4 | 7 | 6 | 3 | 8 | 9 | 2 | 1 | |||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Step 7: Complete Column D: #5 MUST go in Cell D6... | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | |||
| 3 | 2 | 9 | 5 | 1 | 7 | 4 | 3 | 8 | 6 | Step 8: Complete Column F: #9 MUST go in Cell F6… | ||
| 4 | 7 | 1 | 3 | 2 | 6 | 5 | 9 | |||||
| 5 | 6 | 5 | 4 | 1 | 7 | 3 | 8 | |||||
| 6 | 4 | 3 | 5 | 8 | 9 | 1 | 7 | |||||
| 7 | 5 | 4 | 7 | 6 | 3 | 8 | 9 | 2 | 1 | |||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Step 9: Complete Row 4: need #s 4 & 8… | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | #4 can't go in Cell C4 (cf #4 in Column C @ C1), so | ||
| 3 | 2 | 9 | 5 | 1 | 7 | 4 | 3 | 8 | 6 | #4 MUST go in Cell G4, & therefore #8 MUST go in Cell C4 | ||
| 4 | 7 | 1 | 8 | 3 | 2 | 6 | 4 | 5 | 9 | |||
| 5 | 6 | 5 | 9 | 4 | 1 | 7 | 2 | 3 | 8 | Step 10: Complete Row 5: need #s 2 & 9… | ||
| 6 | 4 | 3 | 5 | 8 | 9 | 1 | 7 | #9 can't go in Cell G5 (cf #9 in Column G @ G7), so | ||||
| 7 | 5 | 4 | 7 | 6 | 3 | 8 | 9 | 2 | 1 | #9 MUST go in Cell C5, & therefore #2 MUST go in Cell G5 | ||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | Step 11: Complete Row 6 (& Puzzle): need #s 2 & 6… | ||
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | #2 can't go in Cell G6 (cf #2 in Column G @ G5), so | ||
| 3 | 2 | 9 | 5 | 1 | 7 | 4 | 3 | 8 | 6 | #2 MUST go in Cell C6, & therefore #6 MUST go in Cell G6. | ||
| 4 | 7 | 1 | 8 | 3 | 2 | 6 | 4 | 5 | 9 | |||
| 5 | 6 | 5 | 9 | 4 | 1 | 7 | 2 | 3 | 8 | |||
| 6 | 4 | 3 | 2 | 5 | 8 | 9 | 6 | 1 | 7 | |||
| 7 | 5 | 4 | 7 | 6 | 3 | 8 | 9 | 2 | 1 | |||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | |||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 4 | 8 | 6 | 3 | 5 | 9 | 2 | 45 | Final Proof: | |
| 2 | 3 | 8 | 6 | 2 | 9 | 5 | 1 | 7 | 4 | 45 | - All Rows add up to 45; | |
| 3 | 2 | 9 | 5 | 1 | 7 | 4 | 3 | 8 | 6 | 45 | ||
| 4 | 7 | 1 | 8 | 3 | 2 | 6 | 4 | 5 | 9 | 45 | ||
| 5 | 6 | 5 | 9 | 4 | 1 | 7 | 2 | 3 | 8 | 45 | ||
| 6 | 4 | 3 | 2 | 5 | 8 | 9 | 6 | 1 | 7 | 45 | ||
| 7 | 5 | 4 | 7 | 6 | 3 | 8 | 9 | 2 | 1 | 45 | ||
| 8 | 8 | 2 | 3 | 9 | 4 | 1 | 7 | 6 | 5 | 45 | ||
| 9 | 9 | 6 | 1 | 7 | 5 | 2 | 8 | 4 | 3 | 45 | ||
| 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | - All Columns add up to 45; | |||
| 45 | 45 | 45 | - All 3x3 Blocks add up to 45… | |||||||||
| 45 | 45 | 45 | ||||||||||
| 45 | 45 | 45 | ||||||||||
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