
| Medium Puzzle #43 - 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 | 2 | 8 | 9 | Medium Puzzle #43 - November 12, 2005 | |||||||
| 2 | 1 | 9 | 2 | 6 | Original puzzle as published © joe-ks.com | |||||||
| 3 | 3 | 5 | 1 | |||||||||
| 4 | 5 | 1 | 9 | |||||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | ||||||
| 6 | 3 | 4 | 6 | |||||||||
| 7 | 7 | 6 | 2 | |||||||||
| 8 | 3 | 4 | 5 | 9 | ||||||||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 8 | 9 | Step 1: #2 is in Rows 1 & 2: #2 MUST go in Cell H3 | |||||||
| 2 | 1 | 9 | 2 | 6 | (cf #2 in Column G @ G5 excludes use of Cell G3) | |||||||
| 3 | 3 | 5 | 2 | 1 | ||||||||
| 4 | 5 | 1 | 4 | 9 | Step 2: #2 is in Rows 7 & 9: #2 MUST go in Cell E8... | |||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | ||||||
| 6 | 3 | 4 | 6 | Step 3: Block DD needs #4: #4 MUST go in Cell C4 | ||||||||
| 7 | 7 | 6 | 2 | (#4 in Row 6 @ H6 excludes use of Cells A6 & C6) | ||||||||
| 8 | 3 | 4 | 2 | 5 | 9 | |||||||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 8 | 9 | Step 4: Complete Block DD: need #s 2 & 9… | |||||||
| 2 | 1 | 9 | 2 | 6 | #2 can't go in Cell A6 (cf #2 in Column A @ A9), so | |||||||
| 3 | 3 | 5 | 2 | 1 | #2 MUST go in Cell C6, & therefore #9 MUST go in Cell A6 | |||||||
| 4 | 5 | 1 | 4 | 2 | 9 | |||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | Step 5: #2 is in Columns E & F: #2 MUST go in Cell D4 | |||||
| 6 | 9 | 3 | 2 | 4 | 6 | (#2 in Row 5 @ G5 excludes use of Cell D5, & | ||||||
| 7 | 7 | 6 | 2 | (#2 from Step 4 in Row 6 @ C2 excludes use of Cell D6) | ||||||||
| 8 | 3 | 4 | 2 | 5 | 9 | |||||||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 8 | 9 | Step 6: #5 is in Columns E & F: #5 MUST go in Cell D6 | |||||||
| 2 | 1 | 9 | 2 | 6 | (#5 in Row 5 @ I5 excludes use of Cell D5) | |||||||
| 3 | 3 | 5 | 2 | 1 | ||||||||
| 4 | 5 | 1 | 4 | 2 | 9 | Step 7: #1 is in Columns B & C: #1 MUST go in Cell A8... | ||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | ||||||
| 6 | 9 | 3 | 2 | 5 | 4 | 6 | ||||||
| 7 | 7 | 6 | 2 | |||||||||
| 8 | 1 | 3 | 4 | 2 | 5 | 9 | ||||||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 8 | 9 | Step 8: Complete Column A: #4 MUST go in Cell A2... | |||||||
| 2 | 4 | 1 | 9 | 2 | 6 | |||||||
| 3 | 3 | 5 | 2 | 1 | Step 9: #4 is now in Columns A & C: #4 MUST go in Cell B7 | |||||||
| 4 | 5 | 1 | 4 | 2 | 9 | (#4 in Row 8 @ D8 excludes use of Cell B8) | ||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | ||||||
| 6 | 9 | 3 | 2 | 5 | 4 | 6 | Step 10: #6 is in Columns G & I: #6 MUST go in Cell H8 | |||||
| 7 | 7 | 4 | 6 | 2 | (#6 in Row 7 @ E7 excludes use of Cell H7) | |||||||
| 8 | 1 | 3 | 4 | 2 | 5 | 9 | 6 | |||||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 8 | 9 | Step 11: Complete Row 8: need #s 7 & 8… | |||||||
| 2 | 4 | 1 | 9 | 8 | 2 | 6 | #7 can't go in Cell B8 (cf #7 in Column B @ B5), so | |||||
| 3 | 3 | 8 | 5 | 2 | 1 | #7 MUST go in Cell I8, & therefore #8 MUST go in Cell B8 | ||||||
| 4 | 5 | 1 | 4 | 2 | 9 | |||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | Step 12: #8 is now in Columns A & B: #8 MUST go in Cell C3 | |||||
| 6 | 9 | 3 | 2 | 5 | 4 | 6 | (#8 in Row 1 @ H1 excludes use of Cell C1) | |||||
| 7 | 7 | 4 | 6 | 2 | ||||||||
| 8 | 1 | 8 | 3 | 4 | 2 | 5 | 9 | 6 | 7 | Step 13: #8 is now in Rows 1 & 3: #8 MUST go in Cell E2... | ||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 5 | 8 | 9 | Step 14: Complete Column H: need #s 5 & 7… | ||||||
| 2 | 4 | 5 | 1 | 9 | 8 | 2 | 6 | 7 | #7 can't go in Cell H7 (cf #7 in Row 7 @ A7) so | |||
| 3 | 3 | 8 | 5 | 2 | 1 | #7 MUST go in Cell H2, & therefore #5 MUST go in Cell H7 | ||||||
| 4 | 5 | 1 | 4 | 2 | 9 | |||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | Step 15: #5 is now in Columns H & I: #5 MUST go in Cell G1 | |||||
| 6 | 9 | 3 | 2 | 5 | 4 | 6 | (#5 in Row 3 @ E3 excludes us of Cell G3) | |||||
| 7 | 7 | 4 | 6 | 5 | 2 | |||||||
| 8 | 1 | 8 | 3 | 4 | 2 | 5 | 9 | 6 | 7 | Step 16: #5 is now in Rows 1 & 2: #5 MUST go in Cell B2... | ||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 5 | 8 | 9 | Step 17: Complete Column I: need #s 3 & 8… | ||||||
| 2 | 4 | 5 | 1 | 9 | 8 | 2 | 6 | 7 | 3 | #8 can't go in Cell I2 (cf #8 in Row 2 @ E2), so | ||
| 3 | 3 | 8 | 5 | 4 | 2 | 1 | #8 MUST go in Cell I4, & therefore #3 MUST go in Cell I2 | |||||
| 4 | 5 | 1 | 4 | 2 | 9 | 8 | ||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | Step 18: Completet Block CC: #4 MUST go in Cell G3... | |||||
| 6 | 9 | 3 | 2 | 5 | 4 | 6 | ||||||
| 7 | 7 | 4 | 6 | 5 | 2 | |||||||
| 8 | 1 | 8 | 3 | 4 | 2 | 5 | 9 | 6 | 7 | |||
| 9 | 2 | 6 | 1 | 4 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 7 | 5 | 8 | 9 | Step 19: Complete Block AA: need #s 7 & 9… | |||||
| 2 | 4 | 5 | 1 | 9 | 8 | 2 | 6 | 7 | 3 | #9 can't go in Cell C1 (cf #9 in Row 1 @ I1), so | ||
| 3 | 3 | 9 | 8 | 5 | 4 | 2 | 1 | #9 MUST go in Cell B3, & therefore #7 MUST go in Cell C1 | ||||
| 4 | 5 | 1 | 4 | 2 | 9 | 8 | ||||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | Step 20: Complete Block GG: need #s 5 & 9… | |||||
| 6 | 9 | 3 | 2 | 5 | 4 | 6 | #5 can't go in Cell C7 (cf #5 in Row 7 @ H7), o | |||||
| 7 | 7 | 4 | 9 | 6 | 5 | 2 | #5 MUST go in Cell C9, & thererfore #9 MUST go in Cell C7 | |||||
| 8 | 1 | 8 | 3 | 4 | 2 | 5 | 9 | 6 | 7 | |||
| 9 | 2 | 6 | 5 | 1 | 4 | |||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 7 | 5 | 8 | 9 | NB: Block II needs 2 more #s: #3 & 8 - but note that both #3 & 8 | |||||
| 2 | 4 | 5 | 1 | 9 | 8 | 2 | 6 | 7 | 3 | both go in Column G… | ||
| 3 | 3 | 9 | 8 | 5 | 4 | 2 | 1 | Step 21: Complete Column G in Block FF: aside from #s 3 & 8 | ||||
| 4 | 5 | 1 | 4 | 2 | 7 | 9 | 8 | needed in Column G (for Block II), the 2 #s needed for Col G | ||||
| 5 | 8 | 7 | 6 | 2 | 3 | 5 | in Cells G4 & G6 are #s 1 & 7: #1 cant' go in Cell G4 (cf #1 | |||||
| 6 | 9 | 3 | 2 | 5 | 1 | 4 | 6 | in Row 4 @ B4), so #1 MUST go in Cell G6. & #7 MUST go | ||||
| 7 | 7 | 4 | 9 | 6 | 5 | 2 | in Cell G4 | |||||
| 8 | 1 | 8 | 3 | 4 | 2 | 5 | 9 | 6 | 7 | |||
| 9 | 2 | 6 | 5 | 1 | 4 | |||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 6 | 2 | 7 | 5 | 8 | 9 | Step 22: Comlpete Row 4: need #s 3 & 6… | |||||
| 2 | 4 | 5 | ||||||||||