| Junior Puzzle #11 - 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 | 6 | 3 | 4 | 2 | 1 | 9 | 7 | Junior Puzzle #11 - November 17, 2005 | |||
| 2 | 9 | 5 | 6 | 3 | 7 | 2 | 8 | Original puzzle as published © joe-ks.com | |||
| 3 | 7 | 2 | 9 | 8 | 5 | 1 | 3 | ||||
| 4 | 1 | 4 | 3 | 5 | 6 | 7 | 9 | ||||
| 5 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | ||||
| 6 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | ||||
| 7 | 5 | 8 | 9 | 7 | 6 | 4 | 1 | ||||
| 8 | 2 | 1 | 8 | 6 | 4 | 7 | 5 | ||||
| 9 | 4 | 6 | 5 | 1 | 9 | 8 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 6 | 3 | 4 | 2 | 1 | 9 | 7 | Step 1: #4 is in Columns A & C: #4 MUST go in Cell B3... | |||
| 2 | 9 | 5 | 6 | 3 | 7 | 2 | 8 | ||||
| 3 | 7 | 4 | 2 | 9 | 8 | 5 | 1 | 3 | Step 2: Complete Column D: #2 MUST go in Cell D7... | ||
| 4 | 1 | 4 | 3 | 5 | 6 | 7 | 9 | ||||
| 5 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | Step 3: Complete Column F: #3 MUST go in Cell F7... | |||
| 6 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | ||||
| 7 | 5 | 8 | 9 | 2 | 7 | 3 | 6 | 4 | 1 | ||
| 8 | 2 | 1 | 8 | 6 | 4 | 7 | 5 | ||||
| 9 | 4 | 6 | 5 | 1 | 9 | 8 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 6 | 3 | 4 | 2 | 1 | 9 | 7 | Step 4: Complete Row 3: #6 MUST go in Cell H3… | |||
| 2 | 9 | 5 | 6 | 3 | 7 | 2 | 8 | ||||
| 3 | 7 | 4 | 2 | 9 | 8 | 5 | 1 | 6 | 3 | Step 5: Complete Block GG: need #s 3 & 7… | |
| 4 | 1 | 4 | 3 | 5 | 6 | 7 | 9 | #7 can't go in Cell C8 (cf #7 in Row 8 @ H8), so | |||
| 5 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | #7 MUST go in Cell B9, & therefore #3 MUST go in Cell C8 | |||
| 6 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | ||||
| 7 | 5 | 8 | 9 | 2 | 7 | 3 | 6 | 4 | 1 | ||
| 8 | 2 | 1 | 3 | 8 | 6 | 4 | 7 | 5 | |||
| 9 | 4 | 7 | 6 | 5 | 1 | 9 | 8 | 2 | |||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 6 | 3 | 4 | 2 | 1 | 9 | 7 | Step 6: Complete Row 8: #9 MUST go in Cell G8... | |||
| 2 | 9 | 5 | 6 | 3 | 7 | 2 | 8 | ||||
| 3 | 7 | 4 | 2 | 9 | 8 | 5 | 1 | 6 | 3 | Step 7: Complete Block II: #3 MUST go in Cell H9… | |
| 4 | 1 | 4 | 3 | 5 | 6 | 7 | 8 | 9 | |||
| 5 | 8 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | Step 8: Complete Column H: #8 MUST go in Cell H4… | ||
| 6 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | ||||
| 7 | 5 | 8 | 9 | 2 | 7 | 3 | 6 | 4 | 1 | Step 9: #8 is now in Rows 4 & 6: #8 MUST go in Cell A5… | |
| 8 | 2 | 1 | 3 | 8 | 6 | 4 | 9 | 7 | 5 | ||
| 9 | 4 | 7 | 6 | 5 | 1 | 9 | 8 | 3 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 6 | 3 | 8 | 4 | 2 | 1 | 9 | 7 | Step 10: Complete Block AA: need #s 1 & 8… | ||
| 2 | 9 | 5 | 1 | 6 | 3 | 7 | 2 | 8 | #1 can't go in Cell C1 (cf #1 in Row 1 @ F1), so | ||
| 3 | 7 | 4 | 2 | 9 | 8 | 5 | 1 | 6 | 3 | #1 MUST go in Cell C2, & therefore #8 MUST go in Cell C1 | |
| 4 | 1 | 2 | 4 | 3 | 5 | 6 | 7 | 8 | 9 | ||
| 5 | 8 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | Step 11: Complete Block DD: need #s 2 & 3… | ||
| 6 | 3 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | #3 can't go in Cell B4 (cf #3 in Row 4 @ D4), so | ||
| 7 | 5 | 8 | 9 | 2 | 7 | 3 | 6 | 4 | 1 | #3 MUST go in Cell A6, & therefore #2 MUST go in Cell B4 | |
| 8 | 2 | 1 | 3 | 8 | 6 | 4 | 9 | 7 | 5 | ||
| 9 | 4 | 7 | 6 | 5 | 1 | 9 | 8 | 3 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 6 | 3 | 8 | 4 | 2 | 1 | 5 | 9 | 7 | Step 12: Complete Row 1: #5 MUST go in Cell G1... | |
| 2 | 9 | 5 | 1 | 6 | 3 | 7 | 4 | 2 | 8 | ||
| 3 | 7 | 4 | 2 | 9 | 8 | 5 | 1 | 6 | 3 | Step 13: Complete Row 2: #4 MUST go in Cell G2... | |
| 4 | 1 | 2 | 4 | 3 | 5 | 6 | 7 | 8 | 9 | ||
| 5 | 8 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | 6 | Step 14: Complete Row 5: #6 MUST go in Cell I5... | |
| 6 | 3 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | 4 | ||
| 7 | 5 | 8 | 9 | 2 | 7 | 3 | 6 | 4 | 1 | Step 15: Complete Row 6 (& Block FF & Puzzle): | |
| 8 | 2 | 1 | 3 | 8 | 6 | 4 | 9 | 7 | 5 | #4 MUST go in Cell I6. | |
| 9 | 4 | 7 | 6 | 5 | 1 | 9 | 8 | 3 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 6 | 3 | 8 | 4 | 2 | 1 | 5 | 9 | 7 | 45 | Final Proof: |
| 2 | 9 | 5 | 1 | 6 | 3 | 7 | 4 | 2 | 8 | 45 | - All Rows add up to 45; |
| 3 | 7 | 4 | 2 | 9 | 8 | 5 | 1 | 6 | 3 | 45 | |
| 4 | 1 | 2 | 4 | 3 | 5 | 6 | 7 | 8 | 9 | 45 | |
| 5 | 8 | 9 | 7 | 1 | 4 | 2 | 3 | 5 | 6 | 45 | |
| 6 | 3 | 6 | 5 | 7 | 9 | 8 | 2 | 1 | 4 | 45 | |
| 7 | 5 | 8 | 9 | 2 | 7 | 3 | 6 | 4 | 1 | 45 | |
| 8 | 2 | 1 | 3 | 8 | 6 | 4 | 9 | 7 | 5 | 45 | |
| 9 | 4 | 7 | 6 | 5 | 1 | 9 | 8 | 3 | 2 | 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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