| Junior Puzzle #16 - 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 | 9 | 3 | 4 | 7 | 6 | 5 | 1 | Junior Puzzle #16 - November 22, 2005 | ||||
| 2 | 8 | 6 | 2 | 1 | 9 | 4 | 7 | Original puzzle as published © joe-ks.com | ||||
| 3 | 4 | 7 | 8 | 5 | 3 | 6 | 2 | |||||
| 4 | 4 | 2 | 1 | 3 | 7 | 8 | 6 | |||||
| 5 | 5 | 8 | 6 | 7 | 3 | 4 | 9 | |||||
| 6 | 6 | 3 | 9 | 4 | 1 | 2 | 5 | |||||
| 7 | 6 | 7 | 3 | 8 | 1 | 9 | 4 | |||||
| 8 | 2 | 1 | 5 | 9 | 4 | 6 | 3 | |||||
| 9 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | |||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 9 | 3 | 4 | 7 | 6 | 5 | 1 | Step 1: #3 is in Rows 1 & 3: #3 MUST go in Cell H2... | ||||
| 2 | 8 | 6 | 2 | 1 | 9 | 4 | 3 | 7 | ||||
| 3 | 4 | 7 | 8 | 5 | 3 | 6 | 2 | Step 2: #8 is in Rows 4 & 5: #8 MUST go in Cell F6... | ||||
| 4 | 4 | 2 | 1 | 3 | 7 | 8 | 6 | |||||
| 5 | 5 | 8 | 6 | 7 | 3 | 4 | 9 | Step 3: #7 is in Rows 7 & 9: #7 MUST go in Cell H8… | ||||
| 6 | 6 | 3 | 9 | 4 | 8 | 1 | 2 | 5 | ||||
| 7 | 6 | 7 | 3 | 8 | 1 | 9 | 4 | |||||
| 8 | 2 | 1 | 5 | 9 | 4 | 6 | 7 | 3 | ||||
| 9 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | |||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 9 | 3 | 4 | 7 | 6 | 5 | 1 | 8 | Step 4: Complete Column E: #2 MUST go in Cell E5... | |||
| 2 | 8 | 6 | 2 | 1 | 9 | 4 | 3 | 7 | ||||
| 3 | 4 | 7 | 8 | 5 | 3 | 6 | 2 | Step 5: Complete Column F: #5 MUST go in Cell F4… | ||||
| 4 | 4 | 2 | 9 | 1 | 3 | 5 | 7 | 8 | 6 | |||
| 5 | 5 | 8 | 6 | 2 | 7 | 3 | 4 | 9 | Step 6: #8 is in Columns G & H: #8 MUST go in Cell I1... | |||
| 6 | 6 | 3 | 9 | 4 | 8 | 1 | 2 | 5 | ||||
| 7 | 6 | 7 | 3 | 8 | 1 | 9 | 4 | Step 7: #9 is in Columns A & B: #9 MUST go in Cell C4... | ||||
| 8 | 2 | 1 | 5 | 9 | 4 | 6 | 7 | 3 | ||||
| 9 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | |||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 9 | 3 | 2 | 4 | 7 | 6 | 5 | 1 | 8 | Step 8: Complete Row 1: #2 MUST go in Cell C1... | ||
| 2 | 8 | 5 | 6 | 2 | 1 | 9 | 4 | 3 | 7 | |||
| 3 | 4 | 7 | 8 | 5 | 3 | 6 | 2 | Step 9: Complete Row 2: #5 MUST go in Cell B2... | ||||
| 4 | 4 | 2 | 9 | 1 | 3 | 5 | 7 | 8 | 6 | |||
| 5 | 5 | 1 | 8 | 6 | 2 | 7 | 3 | 4 | 9 | Step 10: Complete Row 5: #1 MUST go in Cell B5... | ||
| 6 | 7 | 6 | 3 | 9 | 4 | 8 | 1 | 2 | 5 | |||
| 7 | 6 | 7 | 3 | 8 | 1 | 9 | 4 | Step 11: Complete Row 6: #7 MUST go in Cell A6… | ||||
| 8 | 2 | 8 | 1 | 5 | 9 | 4 | 6 | 7 | 3 | |||
| 9 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | Step 12: Complete Row 8: #8 MUST go in Cell B8... | ||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 9 | 3 | 2 | 4 | 7 | 6 | 5 | 1 | 8 | Step 13: Complete Block AA: #1 MUST go in Cell A3... | ||
| 2 | 8 | 5 | 6 | 2 | 1 | 9 | 4 | 3 | 7 | |||
| 3 | 1 | 4 | 7 | 8 | 5 | 3 | 9 | 6 | 2 | Step 14: Complete Block CC: #9 MUST go in Cell G3... | ||
| 4 | 4 | 2 | 9 | 1 | 3 | 5 | 7 | 8 | 6 | |||
| 5 | 5 | 1 | 8 | 6 | 2 | 7 | 3 | 4 | 9 | Step 15: Complete Block GG: need #s 3 & 5… | ||
| 6 | 7 | 6 | 3 | 9 | 4 | 8 | 1 | 2 | 5 | #3 can't go in Cell C7 (cf #3 in Row 7 @ D7), so | ||
| 7 | 6 | 7 | 5 | 3 | 8 | 1 | 9 | 4 | #3 MUST go in Cell A9, & therefore #5 MUST go in Cell C7 | |||
| 8 | 2 | 8 | 1 | 5 | 9 | 4 | 6 | 7 | 3 | |||
| 9 | 3 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | ||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 9 | 3 | 2 | 4 | 7 | 6 | 5 | 1 | 8 | Step 16: Complete Block II (& Puzzle): need #s 1 & 2… | ||
| 2 | 8 | 5 | 6 | 2 | 1 | 9 | 4 | 3 | 7 | #1 can't go in Cell G7 (cf #1 in Row 7 @ F7 & #1 in Col G @ G6), | ||
| 3 | 1 | 4 | 7 | 8 | 5 | 3 | 9 | 6 | 2 | So #1 MUST go in Cell I9, & therefore #2 MUST go in Cell G7 | ||
| 4 | 4 | 2 | 9 | 1 | 3 | 5 | 7 | 8 | 6 | |||
| 5 | 5 | 1 | 8 | 6 | 2 | 7 | 3 | 4 | 9 | |||
| 6 | 7 | 6 | 3 | 9 | 4 | 8 | 1 | 2 | 5 | |||
| 7 | 6 | 7 | 5 | 3 | 8 | 1 | 2 | 9 | 4 | |||
| 8 | 2 | 8 | 1 | 5 | 9 | 4 | 6 | 7 | 3 | |||
| 9 | 3 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | 1 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 9 | 3 | 2 | 4 | 7 | 6 | 5 | 1 | 8 | 45 | Final Proof: | |
| 2 | 8 | 5 | 6 | 2 | 1 | 9 | 4 | 3 | 7 | 45 | - All Rows add up to 45; | |
| 3 | 1 | 4 | 7 | 8 | 5 | 3 | 9 | 6 | 2 | 45 | ||
| 4 | 4 | 2 | 9 | 1 | 3 | 5 | 7 | 8 | 6 | 45 | ||
| 5 | 5 | 1 | 8 | 6 | 2 | 7 | 3 | 4 | 9 | 45 | ||
| 6 | 7 | 6 | 3 | 9 | 4 | 8 | 1 | 2 | 5 | 45 | ||
| 7 | 6 | 7 | 5 | 3 | 8 | 1 | 2 | 9 | 4 | 45 | ||
| 8 | 2 | 8 | 1 | 5 | 9 | 4 | 6 | 7 | 3 | 45 | ||
| 9 | 3 | 9 | 4 | 7 | 6 | 2 | 8 | 5 | 1 | 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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