
| Medium Puzzle #52 - 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 | 8 | Medium Puzzle #52 - November 21, 2005 | |||||||
| 2 | 9 | 2 | 3 | Original puzzle as published © joe-ks.com | |||||||
| 3 | 8 | 5 | 3 | 6 | 4 | ||||||
| 4 | 7 | 6 | 1 | 8 | 9 | ||||||
| 5 | 2 | 8 | 5 | 1 | 7 | ||||||
| 6 | 4 | 1 | 9 | 2 | 6 | ||||||
| 7 | 8 | 6 | 4 | 2 | 9 | ||||||
| 8 | 9 | 7 | 3 | ||||||||
| 9 | 8 | ||||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 6 | 8 | Step 1: #6 is in Rows 1 & 3: #6 MUST go in Cell C2 | |||||||
| 2 | 9 | 6 | 2 | 3 | (cf #6 in Column B @ B4 excludes use of Cell B2) | ||||||
| 3 | 8 | 5 | 3 | 6 | 4 | ||||||
| 4 | 7 | 6 | 1 | 8 | 9 | Step 2: #6 is in Rows 4 & 6: #6 MUST go in Cell F5 | |||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | (cf #6 in Column D @ D7 excludes use of Cell D5) | ||||
| 6 | 4 | 1 | 9 | 2 | 6 | ||||||
| 7 | 8 | 6 | 4 | 2 | 9 | ||||||
| 8 | 9 | 7 | 3 | ||||||||
| 9 | 8 | ||||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 4 | 6 | 9 | 8 | Step 3: #9 is in Collumns G & I: #9 MUST go in Cell H1 | |||||
| 2 | 9 | 6 | 2 | 3 | (cf #9 in Row 2 @ A2 excludes use of Cell H2) | ||||||
| 3 | 8 | 5 | 3 | 9 | 6 | 4 | |||||
| 4 | 7 | 6 | 1 | 8 | 9 | Step 4: #9 is now in Rows 1 & 2: #9 MUST go in Cell F3 | |||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | (#9 in Column D @ D8 excludes use of Cell D3) | ||||
| 6 | 4 | 1 | 9 | 2 | 6 | ||||||
| 7 | 8 | 6 | 4 | 2 | 9 | Step 5: Block A needs #4: #4 MUST go in Cell C1 | |||||
| 8 | 9 | 7 | 3 | (#4 in Column B @ B6 exclude use of Cells B1 & B2, & | |||||||
| 9 | 8 | #4 in Row 3 @ I3 excludes use of Cell C3) | |||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 6 | 9 | 8 | Step 6: #2 is in Rows 5 & 6: #2 MUST go in Cell D4 | ||||
| 2 | 9 | 6 | 2 | 3 | (#2 in Column F @ F7 excludes use of Cell F4) | ||||||
| 3 | 8 | 5 | 3 | 9 | 6 | 4 | |||||
| 4 | 7 | 6 | 2 | 1 | 8 | 9 | Step 7: #3 is in Rows 2 & 3: #3 MUST go in Cell B1... | ||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | |||||
| 6 | 4 | 1 | 9 | 2 | 6 | ||||||
| 7 | 8 | 6 | 4 | 2 | 9 | ||||||
| 8 | 9 | 7 | 3 | ||||||||
| 9 | 8 | ||||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 6 | 2 | 9 | 8 | Step 8: Complete Block AA: need #s 2 & 7… | |||
| 2 | 9 | 7 | 6 | 2 | 3 | #2 can't go in Cell B2 (cf #2 in Row 2 @ E2), so | |||||
| 3 | 8 | 5 | 2 | 3 | 9 | 6 | 4 | #2 MUST go in Cell C3, & therefore #7 MUST go in Cell B2 | |||
| 4 | 7 | 6 | 2 | 1 | 8 | 9 | |||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | Step 9: #2 is now in Rows 2 & 3: #2 MUST go in Cell G1... | ||||
| 6 | 4 | 1 | 9 | 2 | 6 | ||||||
| 7 | 8 | 6 | 4 | 2 | 9 | 7 | Step 10: #7 is now in Columns A & B: #7 MUST go in Cell C9 | ||||
| 8 | 9 | 7 | 3 | Step 11: #7 is now in Rows 8 & 9: #7 MUST go in Cell H7 | |||||||
| 9 | 7 | 8 | (#7 in Column I @ I5 excludes use of Cell I7) | ||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 6 | 2 | 9 | 8 | Step 12: Block CC needs #7: #7 MUST go in Cell G3 | |||
| 2 | 9 | 7 | 6 | 2 | 1 | 5 | 3 | (#7 in Row 2 @ B2 excludes use of Cells G2 & H2) | |||
| 3 | 8 | 5 | 2 | 1 | 3 | 9 | 7 | 6 | 4 | ||
| 4 | 7 | 6 | 2 | 1 | 8 | 9 | Step 13: Complete Block CC: need #s 1 & 5… | ||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | #1 can't go in Cell H2 (cf #1 in Column H @ H5), so | ||||
| 6 | 4 | 1 | 9 | 2 | 6 | #1 MUST go in cell G2, & therefore #5 MUST go in Cell H2 | |||||
| 7 | 8 | 6 | 4 | 2 | 9 | 7 | |||||
| 8 | 9 | 7 | 3 | Step 14: #1 is now in Rows 1 & 2: #1 MUST go in Cell D3... | |||||||
| 9 | 7 | 8 | |||||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 6 | 2 | 9 | 8 | Step 15: Complete Column H: need #s 3 & 4… | |||
| 2 | 9 | 7 | 6 | 2 | 1 | 5 | 3 | #3 can't go in Cell H8 (cf #3 in Row 8 @ F8), so | |||
| 3 | 8 | 5 | 2 | 1 | 3 | 9 | 7 | 6 | 4 | #3 MUST go in Cell H9, & therefore #4 MUST go in Cell H8 | |
| 4 | 7 | 6 | 2 | 1 | 8 | 9 | |||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | Step 16: #3 is now in Rows 8 & 9: #3 MUST go in Cell A7 | ||||
| 6 | 4 | 1 | 9 | 2 | 6 | (#3 in Column B @ B1 excludes use of Cell B7) | |||||
| 7 | 3 | 8 | 6 | 4 | 2 | 9 | 7 | ||||
| 8 | 9 | 7 | 3 | 4 | Step 17: #4 is now in Rows 7 & 8: #4 MUST go in Cell A9 | ||||||
| 9 | 4 | 7 | 8 | 3 | (#4 in Column B @ B6 excludes use of Cell B9) | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 7 | 6 | 5 | 2 | 9 | 8 | Step 18: Complete Block HH: need #s 1 & 5… | |
| 2 | 9 | 7 | 6 | 2 | 1 | 5 | 3 | #1 can’t go in Cell D9 (cf #1 in Column D @ D3), so | |||
| 3 | 8 | 5 | 2 | 1 | 3 | 9 | 7 | 6 | 4 | #1 MUST go in Cell F9, & therefore #5 MUST go in Cell D9 | |
| 4 | 7 | 6 | 2 | 1 | 8 | 9 | |||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | Step 19: Complete Row 1: need #s 5 & 7… | ||||
| 6 | 4 | 1 | 9 | 7 | 2 | 6 | #5 can't go in Cell D1 (cf #5 in Step 18 @ D9), so | ||||
| 7 | 3 | 8 | 6 | 4 | 2 | 9 | 7 | #5 MUST go in Cell F1, & therefore # 7 MUST go in D1 | |||
| 8 | 9 | 7 | 3 | 4 | Step 20: #7 is now in Columns D & E: #7 MUST go in Cell F6 | ||||||
| 9 | 4 | 7 | 5 | 8 | 1 | 3 | (cf #7 in Row 4 @ A4 excludes use of Cell F4) | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 7 | 6 | 5 | 2 | 9 | 8 | Step 21: Complete Column A: need #s 5 & 6… | |
| 2 | 9 | 7 | 6 | 2 | 1 | 5 | 3 | #6 can't go in Cell A6 (cf #6 in Row 6 @ I6), so | |||
| 3 | 8 | 5 | 2 | 1 | 3 | 9 | 7 | 6 | 4 | #6 MUST go in Cell A8, & therefore #5 MUST go in Cell A6 | |
| 4 | 7 | 6 | 2 | 1 | 8 | 9 | |||||
| 5 | 2 | 8 | 5 | 6 | 1 | 7 | Step 22: #6 is now in Rows 7 & 8: #6 MUST go in Cell G9 | ||||
| 6 | 5 | 4 | 1 | 9 | 7 | 2 | 6 | (#6 in Column I @ I6 excludes use of Cell I9) | |||
| 7 | 3 | 8 | 6 | 4 | 2 | 9 | 7 | ||||
| 8 | 6 | 9 | 7 | 3 | 4 | ||||||
| 9 | 4 | 7 | 5 | 8 | 1 | 6 | 3 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 7 | 6 | 5 | 2 | 9 | 8 | Step 23: Complete Row 9: need #s 2 & 9… | |
| 2 | 9 | 7 | 6 | 2 | 1 | 5 | 3 | #9 can't go in Cell I9 (cf #9 in Column I @ I4), so | |||
| 3 | 8 | 5 | 2 | 1 | 3 | 9 | 7 | 6 | 4 | #9 MUST go in Cell B9, & therefore #2 MUST go in Cell I9 | |
| 4 | 7 | 6 | 3 | 2 | 1 | 8 | 9 | ||||
| 5 | 2 | 8 | 9 | 5 | 6 | 1 | 7 | Step 24: Complete Block DD: need #s 3 & 9… | |||
| 6 | 5 | 4 | 1 | 9 | 7 | 2 | 6 | #9 can't go in Cell C4 (cf #9 in Row 9 @ I9), so | |||
| 7 | 3 | 8 | 6 | 4 | 2 | 9 | 7 | #9 MUST go in Cell C5, & therefore #3 MUST go in Cell C4 | |||
| 8 | 6 | 9 | 7 | 3 | 4 | ||||||
| 9 | 4 | 9 | 7 | 5 | 8 | 1 | 6 | 3 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 4 | 7 | 6 | 5 | 2 | 9 | 8 | Step 25: Complete Column C: #5 MUST go in Cell C8... | |
| 2 | 9 | 7 | 6 | 2 | 1 | 5 | 3 | ||||
| 3 | 8 | 5 | 2 | 1 | 3 | 9 | 7 | 6 | 4 | Step 26: #5 is now in Rows 8 & 9: #5 MUST go in Cell I7... | |
| 4 | 7 | 6 | 3 | 2 | 1 | 8 | 9 | ||||