
| Medium Puzzle #35 - 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 | 6 | Medium Puzzle #35 - November 4, 2005 | ||||||||
| 2 | 3 | 6 | 7 | 9 | 4 | 5 | Original puzzle as published © joe-ks.com | ||||
| 3 | 8 | 5 | 7 | 6 | 2 | ||||||
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 6 | ||||||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 2 | 6 | 1 | 8 | 7 | |||||
| 8 | 6 | 8 | 3 | 5 | 2 | 1 | |||||
| 9 | 7 | 9 | |||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 6 | Step 1: #7 is in Rows 2 & 3: #7 MUST go in Cell G1 | |||||||
| 2 | 3 | 6 | 7 | 9 | 4 | 5 | |||||
| 3 | 8 | 5 | 7 | 6 | 2 | Step 2: Row 8 needs #7: #7 MUST go in Cell F8 | |||||
| 4 | 1 | 2 | 5 | (#7 is Column D excludes use of Cell D8, & | |||||||
| 5 | 6 | #7 in Column E excludes use of Cell E8) | |||||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 2 | 6 | 1 | 8 | 7 | |||||
| 8 | 6 | 8 | 3 | 7 | 5 | 2 | 1 | ||||
| 9 | 7 | 9 | |||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 9 | 7 | 6 | Step 3: #9 is in Rows 7 & 9: #9 MUST go in Cell E8 | ||||||
| 2 | 3 | 6 | 7 | 9 | 4 | 5 | (#9 in Column D @ D6 excludes use of Cell D8) | ||||
| 3 | 8 | 9 | 5 | 7 | 6 | 2 | |||||
| 4 | 1 | 2 | 5 | Step 4: #9 is now in Columns D & E: #9 MUST go in Cell F1 | |||||||
| 5 | 6 | (#9 in Row 2@ G2 excludes use of Cell F2) | |||||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 2 | 6 | 1 | 8 | 7 | Step 5: #9 is now in Rows 1 & 2: #9 MUST go in Cell B3 | ||||
| 8 | 6 | 8 | 3 | 9 | 7 | 5 | 2 | 1 | |||
| 9 | 7 | 9 | |||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 9 | 7 | 6 | Step 6: Complete Block AA: need #s 2 & 4 | ||||
| 2 | 3 | 6 | 7 | 9 | 4 | 5 | #2 can't go in Cell C1 (cf #2 in Column C @ C7), so | ||||
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | #2 MUST go in Cell A1, & therefore #4 MUST go in Cell C1 | |||
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 6 | 4 | Step 7: #4 is now in Rows 1 & 2: #4 MUST go in Cell E3 | ||||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 2 | 6 | 1 | 8 | 7 | Step 8: Complete Row 8: #4 MUST go in Cell D8... | ||||
| 8 | 6 | 8 | 3 | 4 | 9 | 7 | 5 | 2 | 1 | ||
| 9 | 7 | 9 | Step 9: #4 is now in Columns D & E: #4 MUST go in Cell F5 | ||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 9 | 7 | 6 | Step 10: Complete Block EE: #3 MUST go in Cell D5 | ||||
| 2 | 3 | 6 | 7 | 9 | 4 | 5 | |||||
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | ||||
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 3 | 6 | 4 | ||||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 2 | 6 | 1 | 8 | 7 | |||||
| 8 | 6 | 8 | 3 | 4 | 9 | 7 | 5 | 2 | 1 | ||
| 9 | 7 | 9 | |||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 9 | 7 | 6 | Step 11: Complete Column F: need #s 2 & 3 | ||||
| 2 | 3 | 6 | 7 | 2 | 9 | 4 | 5 | #3 can't go in Cell F2 (cf #3 in Row 2 @ A2), so | |||
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | #3 MUST go in Cell F9, & therefore #2 MUST go in Cell F2 | |||
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 3 | 6 | 4 | Step 12: #3 is now in Rows 8 & 9: #3 MUST go in Cell H7 | |||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 2 | 6 | 1 | 8 | 3 | 7 | ||||
| 8 | 6 | 8 | 3 | 4 | 9 | 7 | 5 | 2 | 1 | ||
| 9 | 7 | 3 | 9 | ||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 9 | 7 | 6 | 8 | Step 13: Complete Row 7: need #s 4 & 5 | |||
| 2 | 3 | 6 | 7 | 2 | 9 | 4 | 5 | #4 can't go in Cell E7 (cf #4 in Column E @ E3), so | |||
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | #4 MUST go in Cell B7, & therefore #5 MUST go in Cell E7 | |||
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 3 | 6 | 4 | Step 14: Block CC needs #8: #8 MUST go in Cell I1 | |||||||
| 6 | 9 | 7 | 8 | (#8 in Row 3 @ A3 excludes use of Cell H3 & I3) | |||||||
| 7 | 9 | 4 | 2 | 6 | 5 | 1 | 8 | 3 | 7 | ||
| 8 | 6 | 8 | 3 | 4 | 9 | 7 | 5 | 2 | 1 | ||
| 9 | 7 | 3 | 9 | ||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 9 | 7 | 6 | 8 | Step 15: Complete Block CC: need #s 1 & 3 | |||
| 2 | 3 | 6 | 7 | 1 | 2 | 9 | 4 | 5 | #3 can't go in Cell H3 (cf #3 in Column H @ H7), so | ||
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | 1 | 3 | #3 MUST go in Cell I3, & therefore #1 MUST go in Cell H3 | |
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 3 | 6 | 4 | Step 16: #1 is now in Rows 1 & 3: #1 MUST go in Cell E2 | |||||||
| 6 | 9 | 7 | 8 | (#1 in Column D @ D4 excludes use of Cell D2) | |||||||
| 7 | 9 | 4 | 2 | 6 | 5 | 1 | 8 | 3 | 7 | ||
| 8 | 6 | 8 | 3 | 4 | 9 | 7 | 5 | 2 | 1 | ||
| 9 | 7 | 3 | 9 | ||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 9 | 7 | 6 | 8 | Step 17: #8 is in Rows 1 & 3: #8 MUST go in Cell D2 | |||
| 2 | 3 | 6 | 7 | 8 | 1 | 2 | 9 | 4 | 5 | ||
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | 1 | 3 | ||
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 3 | 6 | 4 | ||||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 4 | 2 | 6 | 5 | 1 | 8 | 3 | 7 | ||
| 8 | 6 | 8 | 3 | 4 | 9 | 7 | 5 | 2 | 1 | ||
| 9 | 7 | 3 | 9 | ||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 2 | 1 | 4 | 5 | 3 | 9 | 7 | 6 | 8 | Step 18: Complete Block BB: need #s 3 & 5 | |
| 2 | 3 | 6 | 7 | 8 | 1 | 2 | 9 | 4 | 5 | #3 can't go in Cell D1 (cf #3 in Column D @ D5), so | |
| 3 | 8 | 9 | 5 | 7 | 4 | 6 | 2 | 1 | 3 | #3 MUST go in Cell E1, & therefore #5 MUST go in Cell D1 | |
| 4 | 1 | 2 | 5 | ||||||||
| 5 | 3 | 6 | 4 | Step 19: Complete Column D: #2 MUST go in Cell D9 | |||||||
| 6 | 9 | 7 | 8 | ||||||||
| 7 | 9 | 4 | 2 | 6 | 5 | 1 | 8 | 3 | 7 | Step 20: Complete Column E: #8 MUST go in Cell E9 | |
| 8 | 6 | 8 | 3 | 4 | 9 | ||||||