
| Medium Puzzle #42 - 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 | 4 | 5 | 8 | 6 | Medium Puzzle #42 - November 11, 2005 | |||||||
| 2 | 1 | 6 | 7 | 4 | Original puzzle as published © joe-ks.com | |||||||
| 3 | 8 | 9 | 1 | 7 | ||||||||
| 4 | 8 | 3 | 1 | 4 | 9 | |||||||
| 5 | 1 | 2 | 6 | 8 | 7 | |||||||
| 6 | 6 | 4 | 9 | 2 | ||||||||
| 7 | 3 | 6 | 8 | 1 | ||||||||
| 8 | 8 | 9 | 6 | 3 | ||||||||
| 9 | 5 | 4 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 1 | 8 | 6 | Step 1: #1 is in Rows 2 & 3: #1 MUST go in Cell D1... | ||||||
| 2 | 1 | 6 | 7 | 4 | ||||||||
| 3 | 8 | 9 | 1 | 7 | Step 2: #2 is in Rows 5 & 6: #2 MUST go in Cell F4... | |||||||
| 4 | 8 | 3 | 1 | 2 | 4 | 9 | ||||||
| 5 | 1 | 2 | 6 | 8 | 7 | Step 3: #3 is in Rows 7 & 8: #3 MUST go in Cell F9 | ||||||
| 6 | 6 | 4 | 9 | 2 | (cf #3 in Column D @ D4 excludes use of Cell D9) | |||||||
| 7 | 3 | 6 | 8 | 1 | ||||||||
| 8 | 8 | 9 | 6 | 3 | ||||||||
| 9 | 5 | 3 | 4 | |||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 1 | 8 | 6 | Step 4: #6 is in Columns B & C: #6 MUST go in Cell A9 | ||||||
| 2 | 1 | 6 | 7 | 4 | (#6 in Row 7 @ D7 excludes use of Cell A7, & | |||||||
| 3 | 8 | 9 | 1 | 7 | #6 in Row 8 @ H8 excludes use of Cell A8) | |||||||
| 4 | 8 | 3 | 1 | 2 | 4 | 9 | ||||||
| 5 | 1 | 2 | 6 | 8 | 7 | |||||||
| 6 | 6 | 4 | 9 | 2 | ||||||||
| 7 | 3 | 6 | 8 | 1 | ||||||||
| 8 | 8 | 9 | 6 | 3 | ||||||||
| 9 | 6 | 5 | 3 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 5: Block EE needs #4: #4 MUST go in Cell D5 | |||||
| 2 | 9 | 1 | 6 | 7 | 4 | (#4 in Row 6 @ C6 excludes use of Cells D6 & E6) | ||||||
| 3 | 8 | 9 | 1 | 7 | ||||||||
| 4 | 8 | 3 | 1 | 2 | 4 | 9 | Step 6: #7 is in Rows 2 & 3: #7 MUST go in Cell C1... | |||||
| 5 | 1 | 2 | 4 | 6 | 8 | 7 | ||||||
| 6 | 6 | 4 | 9 | 2 | Step 7: Block AA needs #9: #9 MUST go in Cell A2 | |||||||
| 7 | 3 | 6 | 8 | 1 | (#9 in Row 3 @ D3 excludes use of Cells A3 & B3) | |||||||
| 8 | 8 | 9 | 6 | 3 | Step 8: #8 is in Rows 7 & 8: #8 MUST go in Cell B9 | |||||||
| 9 | 6 | 8 | 5 | 3 | 4 | (#8 in Column C @ C3 excludes use of Cell C9) | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 8: Complete Block AA: need #s 2 & 3… | |||||
| 2 | 9 | 1 | 6 | 7 | 4 | #2 can't go in Cell B3 (cf #2 in Column B @ B5), so | ||||||
| 3 | 2 | 3 | 8 | 9 | 1 | 7 | #2 MUST go in Cell A3, & therefore #3 MUST go in Cell B3 | |||||
| 4 | 8 | 7 | 3 | 1 | 2 | 4 | 9 | |||||
| 5 | 1 | 2 | 4 | 6 | 8 | 7 | Step 9: Complete Block EE: need #s 5 & 7… | |||||
| 6 | 6 | 4 | 5 | 7 | 9 | 2 | #5 can't go in Cell E6 (cf #5 in Column E @ E9), so | |||||
| 7 | 3 | 6 | 8 | 1 | #5 MUST go in Cell D6, & therefore #7 MUST go in Cell E6 | |||||||
| 8 | 8 | 9 | 6 | 3 | Step 10: #7 is now in Rows 5 & 6: #7 MUST go in Cell B4 | |||||||
| 9 | 6 | 8 | 5 | 3 | 4 | (#7 in Column C @ C1 excludes use of Cell C4) | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 10: Block DD needs #3: #3 MUST go in Cell A6 | |||||
| 2 | 9 | 1 | 6 | 7 | 4 | (#3 in Column C @ C7 excludes use of Cell C4 & C5) | ||||||
| 3 | 2 | 3 | 8 | 9 | 1 | 7 | ||||||
| 4 | 8 | 7 | 5 | 3 | 1 | 2 | 4 | 9 | Step 11: Complete Block DD: need #s 5 & 9… | |||
| 5 | 1 | 2 | 9 | 4 | 6 | 8 | 7 | #9 can't go in Cell C4 (cf #9 in Row 4 @ I4), so | ||||
| 6 | 3 | 6 | 4 | 5 | 7 | 9 | 2 | #9 MUST go in Cell C5, & therefore #5 MUST go in Cell C4 | ||||
| 7 | 3 | 6 | 8 | 1 | ||||||||
| 8 | 8 | 9 | 6 | 3 | ||||||||
| 9 | 6 | 8 | 5 | 3 | 4 | |||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 12: Complete Column D: need #s 2 & 7… | |||||
| 2 | 9 | 1 | 6 | 2 | 7 | 4 | #7 can't go in Cell D2 (cf #7 in Row 2 @ F2), so | |||||
| 3 | 2 | 3 | 8 | 9 | 1 | 7 | 6 | #7 MUST go in Cell D9, & therefore #2 MUST go in Cell D2 | ||||
| 4 | 8 | 7 | 5 | 3 | 1 | 2 | 6 | 4 | 9 | |||
| 5 | 1 | 2 | 9 | 4 | 6 | 8 | 7 | Step 13: Complete Row 4: #6 MUST go in Cell G4... | ||||
| 6 | 3 | 6 | 4 | 5 | 7 | 9 | 2 | |||||
| 7 | 3 | 6 | 8 | 1 | Step 14: #6 is now in Columns G & H: #6 MUST go in Cell I3 | |||||||
| 8 | 8 | 9 | 6 | 3 | (#6 in Row 1 @ F1 excludes use of Cell I1, & | |||||||
| 9 | 6 | 8 | 7 | 5 | 3 | 4 | #6 in Row 2 @ C2 excludes use of Cell I2) | |||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 15: Complete Row 6: need #s 1 & 8… | |||||
| 2 | 9 | 1 | 6 | 2 | 7 | 4 | #1 can't go in Cell H6 (cf #1 in Column H @ H7), so | |||||
| 3 | 2 | 3 | 8 | 9 | 4 | 5 | 1 | 7 | 6 | #1 MUST go in Cell I6, & therefore #8 MUST go in Cell H6 | ||
| 4 | 8 | 7 | 5 | 3 | 1 | 2 | 6 | 4 | 9 | |||
| 5 | 1 | 2 | 9 | 4 | 6 | 8 | 7 | Step 16: Complete Row 3: need #s 4 & 5… | ||||
| 6 | 3 | 6 | 4 | 5 | 7 | 9 | 2 | 8 | 1 | #5 can't go in Cell E3 (cf #5 in Column # @ E9), so | ||
| 7 | 3 | 6 | 8 | 1 | #5 MUST go in Cell F3, & therefore #4 MUST go in Cell E3 | |||||||
| 8 | 8 | 9 | 6 | 3 | ||||||||
| 9 | 6 | 8 | 7 | 5 | 3 | 4 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 17: Complete Block BB: #3 MUST go in Cell E2... | |||||
| 2 | 9 | 1 | 6 | 2 | 3 | 7 | 4 | |||||
| 3 | 2 | 3 | 8 | 9 | 4 | 5 | 1 | 7 | 6 | Step 18: Complete Column E: #2 MUST go in Cell E7… | ||
| 4 | 8 | 7 | 5 | 3 | 1 | 2 | 6 | 4 | 9 | |||
| 5 | 1 | 2 | 9 | 4 | 6 | 8 | 7 | |||||
| 6 | 3 | 6 | 4 | 5 | 7 | 9 | 2 | 8 | 1 | |||
| 7 | 3 | 6 | 2 | 8 | 1 | |||||||
| 8 | 8 | 9 | 6 | 3 | ||||||||
| 9 | 6 | 8 | 7 | 5 | 3 | 4 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 19: Complete Block HH: need #s 1 & 4… | |||||
| 2 | 9 | 1 | 6 | 2 | 3 | 7 | 4 | 5 | 8 | #1 can't go in Cell F7 (cf #1 in Row 7 @ H7), so | ||
| 3 | 2 | 3 | 8 | 9 | 4 | 5 | 1 | 7 | 6 | #1 MUST go in Cell F8, & therefore #4 MUST go in Cell F7 | ||
| 4 | 8 | 7 | 5 | 3 | 1 | 2 | 6 | 4 | 9 | |||
| 5 | 1 | 2 | 9 | 4 | 6 | 8 | 7 | Step 20: Complete Row 2: need #s 5 & 8… | ||||
| 6 | 3 | 6 | 4 | 5 | 7 | 9 | 2 | 8 | 1 | #8 can't go in Cell H2 (cf #8 in Column H @ H6), so | ||
| 7 | 3 | 6 | 2 | 4 | 8 | 1 | #8 MUST go in Cell I2, & therefore #5 MUST go in Cell H2 | |||||
| 8 | 8 | 9 | 1 | 6 | 3 | |||||||
| 9 | 6 | 8 | 7 | 5 | 3 | 4 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 4 | 5 | 7 | 1 | 8 | 6 | Step 21: Complete Block FF: need #s 3 & 5… | |||||
| 2 | 9 | 1 | 6 | 2 | 3 | 7 | 4 | 5 | 8 | #5 can't go in Cell H5 (cf #5 in Column H @ H2), so | ||
| 3 | 2 | 3 | 8 | 9 | 4 | 5 | 1 | 7 | 6 | |||