
| Easy Puzzle #28 - One Possible Solution Approach… | |||||||||||
| NB: There is only one final solution to this Sudoku puzzle… | |||||||||||
| Rules: Place a number from 1-9 in each empty cell so that each row, each column AND each 3x3 block contains all the numbers from 1-9. | |||||||||||
| 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 | 8 | 4 | 7 | 9 | Easy Puzzle #28 - October 28, 2005 | ||||||
| 2 | 9 | 7 | 4 | 5 | 1 | Original puzzle as published © joe-ks.com | |||||
| 3 | 1 | 4 | 8 | ||||||||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 4 | 9 | 8 | ||||||
| 8 | 6 | 1 | 9 | 5 | |||||||
| 9 | 5 | 6 | 7 | 2 | |||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 9 | Step 1: #9 is in Rows 1 & 2: #9 MUST go in Cell D3 | ||||||
| 2 | 9 | 7 | 4 | 5 | 1 | (#9 in Column F @ F7 excludes use of Cell F3) | |||||
| 3 | 9 | 1 | 4 | 8 | |||||||
| 4 | 2 | 9 | 1 | Step 2: #5 is in Rows 8 & 9: #5 MUST go in Cell D7… | |||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 5 | 4 | 9 | 8 | |||||
| 8 | 6 | 1 | 9 | 5 | |||||||
| 9 | 5 | 6 | 7 | 2 | |||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 9 | Step 3: #9 is in Columns A & C: #9 MUST go in Cell B9 | ||||||
| 2 | 9 | 7 | 4 | 5 | 1 | (#9 in Row 8 @ H8 excludes use of Cell B8) | |||||
| 3 | 9 | 1 | 4 | 8 | |||||||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 5 | 4 | 9 | 8 | |||||
| 8 | 6 | 1 | 9 | 5 | |||||||
| 9 | 9 | 5 | 6 | 7 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 9 | Step 4: #7 is in Rows 1 & 2: #7 MUST go in Cell G3… | ||||||
| 2 | 9 | 7 | 4 | 5 | 1 | ||||||
| 3 | 6 | 9 | 1 | 7 | 4 | 8 | Step 5: #6 is in Columns B & C: #6 MUST go in Cell A3… | ||||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 5 | 4 | 9 | 8 | |||||
| 8 | 6 | 1 | 9 | 5 | |||||||
| 9 | 9 | 5 | 6 | 7 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 9 | Step 6: Block AA needs #5: #5 MUST go in Cell B3 | ||||||
| 2 | 9 | 7 | 4 | 5 | 1 | (#5 in Column C @ C9 excludes use of Cells C1, C2 & C3) | |||||
| 3 | 6 | 5 | 9 | 1 | 7 | 4 | 8 | ||||
| 4 | 2 | 9 | 1 | Step 7: #7 is in Columns E & F: #7 MUST go in Cell D8 | |||||||
| 5 | 6 | 4 | 8 | 1 | (#7 in Row 9 excludes use of Cell D9) | ||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 5 | 4 | 9 | 8 | |||||
| 8 | 6 | 7 | 1 | 9 | 5 | ||||||
| 9 | 9 | 5 | 6 | 7 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 9 | Step 8: Block BB needs #8: #8 MUST go in Cell E2 | ||||||
| 2 | 9 | 7 | 4 | 8 | 5 | 1 | (#8 in Row 1 @ A1 excludes use of Cells D1 & F1, & | ||||
| 3 | 6 | 5 | 9 | 1 | 7 | 4 | 8 | #8 in Column F @ F5 excludes use of Cells F1, F2 & F3) | |||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | Step 9: #7 is in Rows 8 & 9: #7 MUST go in Cell C7… | ||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 6 | 7 | 1 | 9 | 5 | ||||||
| 9 | 9 | 5 | 6 | 7 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 5 | 9 | Step 10: Block GG needs #1: #1 MUST go in Cell A9 | |||||
| 2 | 9 | 7 | 4 | 8 | 5 | 1 | (#1 in Row 8 @ F8 excludes use of Cells A8 & B8) | ||||
| 3 | 6 | 5 | 9 | 1 | 7 | 4 | 8 | ||||
| 4 | 2 | 9 | 1 | Step 11: #5 is in Rows 2 & 3: #5 MUST go in Cell F1 | |||||||
| 5 | 6 | 4 | 8 | 1 | (#5 in Column D @ D7 excludes use of Cell D1) | ||||||
| 6 | 3 | 7 | 2 | 5 | |||||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 6 | 7 | 1 | 9 | 5 | ||||||
| 9 | 1 | 9 | 5 | 6 | 7 | 2 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 5 | 9 | Step 12: Complete Block GG: need #s 4 & 8… | |||||
| 2 | 9 | 7 | 4 | 8 | 5 | 1 | #8 can't go in Cell A8 (cf #8 in Column A @ A1), so | ||||
| 3 | 6 | 5 | 9 | 1 | 7 | 4 | 8 | #8 MUST go in Cell B8, & therefore #4 MUST go in Cell A8 | |||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | Step 13: #8 is now in Columns A& B: #8 MUST go in Cell C6 | ||||||
| 6 | 3 | 8 | 7 | 2 | 5 | ||||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | Step 14: #4 is now in Rows 7 & 8: #4 MUST go in Cell G9… | |||
| 8 | 4 | 8 | 6 | 7 | 1 | 9 | 5 | ||||
| 9 | 1 | 9 | 5 | 6 | 4 | 7 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 5 | 9 | Step 15: #2 is in Rows 7 & 9: #2 MUST go in Cell E8… | |||||
| 2 | 9 | 7 | 4 | 8 | 5 | 1 | |||||
| 3 | 6 | 5 | 9 | 1 | 7 | 4 | 8 | Step 16: #1 is in Rows 4 & 5: #1 MUST go in Cell B6… | |||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 1 | 8 | 7 | 2 | 5 | |||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 9 | 5 | |||
| 9 | 1 | 9 | 5 | 6 | 4 | 7 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 5 | 9 | Step 17: Complete Block HH: need #s 3 & 8… | |||||
| 2 | 9 | 7 | 4 | 8 | 5 | 1 | #8 can't go in Cell F9 (cf #8 in Column F @ F5), so | ||||
| 3 | 6 | 5 | 9 | 1 | 7 | 4 | 8 | #8 MUST go in Cell D9, & therefore #3 MUST go in Cell F9 | |||
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | Step 18: #3 is now in Rows 7 & 9: #3 MUST go in Cell G8… | ||||||
| 6 | 3 | 1 | 8 | 7 | 2 | 5 | |||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 7 | 5 | 9 | Step 19: Complete Row 3: need #s 2 & 3… | |||||
| 2 | 9 | 7 | 4 | 8 | 5 | 1 | #3 can't go in Cell F3 (cf #3 in Column F @ F9), so | ||||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | #3 MUST go in Cell C3, & therefore #2 MUST go in Cell F3 | |
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 1 | 8 | 7 | 2 | 5 | |||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 3 | 7 | 5 | 9 | Step 20: Complete Block BB: need #s 3 & 6… | ||||
| 2 | 9 | 7 | 4 | 8 | 6 | 5 | 1 | #3 can't go in Cell F2 (cf #3 in Column F @ F9), so | |||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | #3 MUST go in Cell D1, & therefore #6 MUST go in Cell F2 | |
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 8 | 1 | |||||||
| 6 | 3 | 1 | 8 | 7 | 2 | 5 | |||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 3 | 7 | 5 | 9 | Step 21: Complete Column D: need #s 2 & 6… | ||||
| 2 | 9 | 7 | 4 | 8 | 6 | 5 | 1 | #2 can't go in Cell D6 (cf #2 in Row 6 @ G6), so | |||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | #2 MUST go in Cell D5, & therefore #6 MUST go in Cell D6 | |
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 2 | 8 | 1 | ||||||
| 6 | 3 | 1 | 8 | 6 | 7 | 2 | 5 | ||||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 3 | 7 | 5 | 9 | Step 22: Complete Row 6: need #s 4 & 9… | ||||
| 2 | 9 | 7 | 4 | 8 | 6 | 5 | 1 | #4 can't go in Cell E6 (cf #4 in Column E @ E7), so | |||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | #4 MUST go in Cell I6, & therefore #9 MUST go in Cell E6 | |
| 4 | 2 | 9 | 1 | ||||||||
| 5 | 6 | 4 | 2 | 8 | 1 | 9 | Step 23: #9 in now in Rows 4 & 6: #9 MUST go in Cell I5 | ||||
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | (#9 in Column H @ H8 excludes use of Cell H5) | |
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 3 | 7 | 5 | 9 | Step 24: Block EE needs # 4: #4 MUST go in Cell F4 | ||||
| 2 | 9 | 7 | 4 | 8 | 6 | 5 | 1 | (#4 in Column E @ E7 excludes use of Cells E4 & E5) | |||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | ||
| 4 | 2 | 9 | 1 | 4 | 7 | Step 25: #7 is in Columns G & H: #7 MUST go in Cell I4… | |||||
| 5 | 6 | 4 | 2 | 8 | 1 | 9 | |||||
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | ||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 3 | 7 | 5 | 9 | Step 26: #7 is in Rows 4 & 6: #7 MUST go in Cell A5… | ||||
| 2 | 9 | 7 | 4 | 8 | 6 | 5 | 1 | ||||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | Step 27: Complete Block DD: #5 MUST go in Cell A4... | |
| 4 | 5 | 2 | 9 | 1 | 3 | 4 | 7 | ||||
| 5 | 7 | 6 | 4 | 2 | 5 | 8 | 1 | 9 | Step 28: #5 is now in Rows 4 & 6: #5 MUST go in Cell E5... | ||
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | ||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | Step 29: Complete Block EE: #3 MUST go in Cell E4... | |||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 3 | 7 | 5 | 9 | Step 30: #3 is in Rows 4 & 6: #3 MUST go in Cell H5... | ||||
| 2 | 9 | 7 | 4 | 8 | 6 | 5 | 1 | 3 | |||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | Step 31: #3 is now in Columns G & H: #3 MUST go in Cell I2 | |
| 4 | 5 | 2 | 9 | 1 | 3 | 4 | 7 | (#3 in Row 1 @ D1 excludes use of Cell I1) | |||
| 5 | 7 | 6 | 4 | 2 | 5 | 8 | 1 | 3 | 9 | ||
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | ||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 1 | 3 | 7 | 5 | 9 | Step 32: #1 is in Rows 2 & 3: #1 MUST go in Cell C1... | |||
| 2 | 9 | 7 | 2 | 4 | 8 | 6 | 5 | 1 | 3 | ||
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | Step 33: Complete Column C: #2 MUST go in Cell C2… | |
| 4 | 5 | 2 | 9 | 1 | 3 | 4 | 7 | ||||
| 5 | 7 | 6 | 4 | 2 | 5 | 8 | 1 | 3 | 9 | ||
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | ||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 1 | 3 | 7 | 5 | 9 | 2 | 6 | Step 34: Complete Row 1: need #s 2 & 6… | |
| 2 | 9 | 7 | 2 | 4 | 8 | 6 | 5 | 1 | 3 | #2 can't go in Cell I1 (cf #2 in Column I @ I9), so | |
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | #2 MUST go in Cell H1, & therefore #6 MUST go in Cell I1 | |
| 4 | 5 | 2 | 9 | 1 | 3 | 4 | 6 | 7 | |||
| 5 | 7 | 6 | 4 | 2 | 5 | 8 | 1 | 3 | 9 | Step 35: Complete Column G: #6 MUST go in Cell G4... | |
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | ||
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | ||||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 1 | 3 | 7 | 5 | 9 | 2 | 6 | Step 36: Complete Block II: need #s 1 & 6… | |
| 2 | 9 | 7 | 2 | 4 | 8 | 6 | 5 | 1 | 3 | #6 can't go in Cell I7 (cf #6 in Column I @ I1), so | |
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | #6 MUST go in Cell H7, & therefore #1 MUST go in Cell I7 | |
| 4 | 5 | 2 | 9 | 1 | 3 | 4 | 6 | 8 | 7 | ||
| 5 | 7 | 6 | 4 | 2 | 5 | 8 | 1 | 3 | 9 | Step 37: Complete Block FF (& Puzzle): | |
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | #8 MUST go in Cell H4. | |
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | 6 | 1 | ||
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | ||
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 4 | 1 | 3 | 7 | 5 | 9 | 2 | 6 | 45 | Final Proof: |
| 2 | 9 | 7 | 2 | 4 | 8 | 6 | 5 | 1 | 3 | 45 | - All Rows add up to 45; |
| 3 | 6 | 5 | 3 | 9 | 1 | 2 | 7 | 4 | 8 | 45 | |
| 4 | 5 | 2 | 9 | 1 | 3 | 4 | 6 | 8 | 7 | 45 | |
| 5 | 7 | 6 | 4 | 2 | 5 | 8 | 1 | 3 | 9 | 45 | |
| 6 | 3 | 1 | 8 | 6 | 9 | 7 | 2 | 5 | 4 | 45 | |
| 7 | 2 | 3 | 7 | 5 | 4 | 9 | 8 | 6 | 1 | 45 | |
| 8 | 4 | 8 | 6 | 7 | 2 | 1 | 3 | 9 | 5 | 45 | |
| 9 | 1 | 9 | 5 | 8 | 6 | 3 | 4 | 7 | 2 | 45 | |
| 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | - All Columns add up to 45; | ||
| 45 | 45 | 45 | - All 3x3 Blocks add up to 45… | ||||||||
| 45 | 45 | 45 | |||||||||
| 45 | 45 | 45 | |||||||||
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