
| Medium Puzzle #38 - 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 | 8 | 9 | Medium Puzzle #38 - November 7, 2005 | ||||||
| 2 | 6 | 8 | 3 | Original puzzle as published © joe-ks.com | |||||||
| 3 | 4 | 3 | 7 | 6 | 2 | ||||||
| 4 | 7 | 1 | 2 | ||||||||
| 5 | 1 | 6 | 3 | ||||||||
| 6 | 9 | 1 | 2 | 3 | |||||||
| 7 | 3 | 8 | 2 | 9 | 7 | 5 | |||||
| 8 | 1 | 3 | 2 | 6 | 4 | ||||||
| 9 | 2 | 5 | 7 | 3 | 8 | 1 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 8 | 9 | Step 1: #7 is in Columns B & C: #7 MUST go in Cell A8… | ||||||
| 2 | 6 | 8 | 3 | ||||||||
| 3 | 4 | 3 | 7 | 6 | 1 | 2 | Step 2: #1 is in Columns G & I: #1 MUST go in Cell H3 | ||||
| 4 | 7 | 1 | 2 | (#1 in Row 1 @ A1 excludes use of Cell H1) | |||||||
| 5 | 1 | 6 | 3 | ||||||||
| 6 | 9 | 1 | 2 | 3 | |||||||
| 7 | 3 | 8 | 2 | 9 | 7 | 5 | |||||
| 8 | 7 | 1 | 3 | 2 | 6 | 4 | |||||
| 9 | 2 | 5 | 7 | 3 | 8 | 1 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 8 | 9 | Step 3: #8 is in Rows 1 & 2: #8 MUST go in Cell F3... | |||||
| 2 | 6 | 8 | 3 | ||||||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | Step 4: #3 is in Rows 5 & 6: #3 MUST go in Cell B4 | |||
| 4 | 3 | 7 | 1 | 2 | (#3 in Column A @ A7 excludes use of Cell A4) | ||||||
| 5 | 1 | 6 | 3 | ||||||||
| 6 | 9 | 1 | 2 | 3 | Step 5: #3 is now in Columns A & B: #3 MUST go in Cell C1 | ||||||
| 7 | 3 | 8 | 2 | 9 | 7 | 5 | (#3 in Row 2 @ H2 excludes use of Cell C2) | ||||
| 8 | 7 | 1 | 3 | 2 | 6 | 4 | |||||
| 9 | 2 | 5 | 7 | 3 | 8 | 1 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 8 | 9 | Step 6: Block A needs #2: #2 MUST go in Cell C2 | |||||
| 2 | 6 | 8 | 2 | 3 | (#2 in Row 3 @ I3 excludes use of Cells A3 & B3) | ||||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | ||||
| 4 | 3 | 7 | 1 | 2 | Step 7: now #2 is in Column A & C: #2 MUST go in Cell B5 | ||||||
| 5 | 2 | 1 | 6 | 3 | (#2 in Row 6 @ H6 excludes use of Cell B6) | ||||||
| 6 | 9 | 1 | 2 | 3 | |||||||
| 7 | 3 | 8 | 1 | 2 | 9 | 7 | 5 | Step 8: #1 is in Rows 8 & 9: #1 MUST go in Cell E7 | |||
| 8 | 7 | 1 | 3 | 2 | 6 | 4 | (#1 in Column D @ D4 excludes use of Cell D7) | ||||
| 9 | 2 | 5 | 7 | 3 | 8 | 1 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 8 | 9 | Step 9: #1 is in Columns D & E: #1 MUST go in Cell F2 | |||||
| 2 | 6 | 8 | 2 | 1 | 3 | (#1 in Row 1 @ A1 excludes use of Cell F1) | |||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | ||||
| 4 | 3 | 7 | 1 | 2 | 6 | Step 10: #6 is in Columns G & H: #6 MUST go in Cell I4 | |||||
| 5 | 2 | 1 | 6 | 3 | (#6 in Row 5 @ D5 excludes use of Cell I5) | ||||||
| 6 | 9 | 1 | 2 | 3 | |||||||
| 7 | 3 | 8 | 1 | 2 | 9 | 7 | 5 | ||||
| 8 | 7 | 1 | 3 | 2 | 6 | 4 | |||||
| 9 | 2 | 5 | 7 | 3 | 8 | 1 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 8 | 9 | Step 11: Complete Row 7: need #s 4 & 6… | |||||
| 2 | 6 | 8 | 2 | 1 | 3 | ||||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | Step 12: #6 is now in Columns A & B: #6 MUST go in Cell C6 | |||
| 4 | 3 | 7 | 1 | 2 | 6 | ||||||
| 5 | 2 | 1 | 6 | 3 | Step 13: Complete Column C: #9 MUST go in Cell C8… | ||||||
| 6 | 6 | 9 | 1 | 2 | 3 | ||||||
| 7 | 3 | 6 | 8 | 4 | 1 | 2 | 9 | 7 | 5 | Step 14: Complete Block GG: #4 MUST go in Cell B9… | |
| 8 | 7 | 1 | 9 | 3 | 2 | 6 | 4 | ||||
| 9 | 2 | 4 | 5 | 7 | 3 | 8 | 1 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 6 | 8 | 9 | Step 15: Complete Row 9: need #s 6 & 9… | ||||
| 2 | 6 | 8 | 2 | 1 | 3 | #6 can't go in Cell D9 (cf #6 in Column D @ D5), so | |||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | #6 MUST go in Cel E9, & therefore #9 MUST go in Cell D9 | |||
| 4 | 3 | 7 | 1 | 2 | 6 | ||||||
| 5 | 2 | 1 | 6 | 3 | 8 | Step 16: #6 is now in Columns D & E: #6 MUST go in Cell F1 | |||||
| 6 | 6 | 9 | 1 | 2 | 3 | ||||||
| 7 | 3 | 6 | 8 | 4 | 1 | 2 | 9 | 7 | 5 | Step 17: #8 is in Columns G & H: #8 MUST go in Cell I5… | |
| 8 | 7 | 1 | 9 | 3 | 2 | 6 | 4 | ||||
| 9 | 2 | 4 | 5 | 9 | 6 | 7 | 3 | 8 | 1 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 6 | 8 | 9 | Step 18: #7 is in Columns E & F: #7 MUST go in Cell D6... | ||||
| 2 | 6 | 8 | 2 | 1 | 3 | 7 | |||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | Step 19: #7 is now in Rows 4 & 6: #7 MUST go in Cell G5 | |||
| 4 | 3 | 7 | 1 | 2 | 6 | (#7 in Column H @ H7 excludes use of Cell H5) | |||||
| 5 | 2 | 1 | 6 | 3 | 7 | 8 | |||||
| 6 | 6 | 7 | 9 | 1 | 2 | 3 | Step 20: Complet Column I: #7 MUST go in Cell I2... | ||||
| 7 | 3 | 6 | 8 | 4 | 1 | 2 | 9 | 7 | 5 | ||
| 8 | 7 | 1 | 9 | 3 | 2 | 6 | 4 | ||||
| 9 | 2 | 4 | 5 | 9 | 6 | 7 | 3 | 8 | 1 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 6 | 8 | 9 | Step 21: Block EE needs #8: #8 MUST go in Cell E6 | ||||
| 2 | 6 | 8 | 2 | 1 | 3 | 7 | (#8 in Column F @ F8 excludes use of Cells F4 & F5) | ||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | ||||
| 4 | 8 | 3 | 7 | 1 | 2 | 6 | Step 22: #8 is now in Columns 5 & 6: #8 MUST go in Cell A4 | ||||
| 5 | 2 | 1 | 6 | 3 | 7 | 8 | |||||
| 6 | 6 | 7 | 8 | 9 | 1 | 2 | 3 | Step 23: Complete Row 8: need #s 5 & 8… | |||
| 7 | 3 | 6 | 8 | 4 | 1 | 2 | 9 | 7 | 5 | #8 can't go in Cell E8 (cf #8 from Step 21 @ E6), so | |
| 8 | 7 | 1 | 9 | 8 | 5 | 3 | 2 | 6 | 4 | #8 MUST go in Cell D8, & therefore #5 MUST go in Cell E8 | |
| 9 | 2 | 4 | 5 | 9 | 6 | 7 | 3 | 8 | 1 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 6 | 8 | 9 | Step 24: Block DD needs #9: #9 MUST go in Cell A5 | ||||
| 2 | 6 | 8 | 2 | 1 | 3 | 7 | (#9 in Row 6 @ F6 excludes use of Cells A6 & B6) | ||||
| 3 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | ||||
| 4 | 8 | 3 | 7 | 1 | 2 | 9 | 6 | Step 25: #9 is now in Rows 5 & 6: #9 MUST go in Cell H4 | |||
| 5 | 9 | 2 | 1 | 6 | 3 | 7 | 8 | (#9 in Column G @ G7 excludes use of Cell G4) | |||
| 6 | 6 | 7 | 8 | 9 | 1 | 2 | 3 | ||||
| 7 | 3 | 6 | 8 | 4 | 1 | 2 | 9 | 7 | 5 | ||
| 8 | 7 | 1 | 9 | 8 | 5 | 3 | 2 | 6 | 4 | ||
| 9 | 2 | 4 | 5 | 9 | 6 | 7 | 3 | 8 | 1 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 7 | 3 | 6 | 8 | 9 | Step 26: Complete Block AA: need #s 5 & 9… | ||||
| 2 | 6 | 8 | 2 | 9 | 1 | 3 | 7 | #9 can't go in Cell A3 (cf #9 in Column A @ A5), so | |||
| 3 | 5 | 9 | 4 | 3 | 7 | 8 | 6 | 1 | 2 | #9 MUST go in Cell B3, & therefore #5 MUST go in Cell A3 | |
| 4 | 8 | 3 | 7 | 1 | 2 | 9 | 6 | ||||
| 5 | 9 | 2 | 1 | 6 | 3 | 7 | 8 | Step 27: #9 is now in Rows 1 & 3: #9 MUST go in Cell E2 | |||
| 6 | |||||||||||