
| Easy Puzzle #16 - 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 | 1 | 9 | 3 | 5 | Easy Puzzle #16 - October 16, 2005 | |||||||
| 2 | 3 | 6 | 5 | 8 | 2 | 4 | Original puzzle as published on joe-ks.com | |||||
| 3 | 9 | 8 | 6 | 1 | ||||||||
| 4 | 2 | 3 | 6 | 8 | ||||||||
| 5 | 5 | 8 | 6 | 4 | ||||||||
| 6 | 8 | 7 | 1 | 2 | ||||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | ||||||
| 8 | 9 | 2 | 1 | 7 | 6 | |||||||
| 9 | 4 | 3 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | Step 1: #9 is in Rows 1 & 3: #9 MUST go in Cell I2 | |||||||
| 2 | 3 | 6 | 5 | 8 | 2 | 4 | 9 | |||||
| 3 | 9 | 8 | 6 | 1 | ||||||||
| 4 | 2 | 3 | 6 | 8 | Step 2: #2 is in Rows 4 & 6: #2 MUST go in Cell F5 | |||||||
| 5 | 5 | 8 | 6 | 2 | 4 | (#2 in Column D @ D2 excludes use of Cell D5) | ||||||
| 6 | 8 | 7 | 1 | 2 | ||||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | Step 3: #4 is in Rows 7 & 9: #4 MUST go in Cell G8 | |||||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 4 | 3 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | Step 4: #1 is in Rows 1 & 3: #1 MUST go in Cell F2 | |||||||
| 2 | 3 | 6 | 5 | 8 | 1 | 2 | 4 | 9 | ||||
| 3 | 9 | 8 | 6 | 1 | ||||||||
| 4 | 2 | 3 | 6 | 8 | Step 5: #9 is in Rows 7 & 8: #9 MUST go in Cell G9 | |||||||
| 5 | 5 | 8 | 6 | 2 | 4 | (#9 in Column I @ I2 excludes use of Cell I9) | ||||||
| 6 | 8 | 7 | 1 | 2 | ||||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | ||||||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 4 | 9 | 3 | |||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | Step 6: Complete Row 2: #7 MUST go in Cell C2 | |||||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | |||
| 3 | 9 | 8 | 6 | 1 | ||||||||
| 4 | 2 | 3 | 4 | 6 | 8 | Step 7: Block EE needs #4: #4 MUST go in Cell E4 | ||||||
| 5 | 5 | 8 | 6 | 2 | 4 | (#4 in Column F @ F9 excludes use of Cells F4 & F6, & | ||||||
| 6 | 8 | 7 | 1 | 2 | #4 in Row 5 @ I5 excludes use of Cell D5) | |||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | ||||||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 4 | 9 | 3 | |||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | 6 | Step 8: Complete Column H: need #s 6 & 9 | ||||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | #9 can't go in Cell H1 (cf #9 in Row 1 @ E1), so | ||
| 3 | 9 | 8 | 6 | 1 | #9 MUST go in Cell H5, & therefore #6 MUST go in Cell H1 | |||||||
| 4 | 2 | 3 | 4 | 6 | 8 | |||||||
| 5 | 5 | 8 | 6 | 2 | 9 | 4 | Step 9: Complete Column B: need #s 3 & 7 | |||||
| 6 | 3 | 8 | 7 | 1 | 2 | #7 can't go in Cell B6 (cf #7 in Row 7 @ F7), so | ||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | #7 MUST go in Cell B9, & therefore #3 MUST go in Cell B6 | |||||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 7 | 4 | 9 | 3 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | 6 | Step 10: #5 is in Rows 1 & 2: #5 MUST go in Cell C3 | ||||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | |||
| 3 | 9 | 8 | 5 | 6 | 1 | |||||||
| 4 | 2 | 3 | 4 | 6 | 8 | Step 11: #1 is in Rows 7 & 8: #1 MUST go in Cell I9 | ||||||
| 5 | 5 | 8 | 6 | 2 | 9 | 4 | ||||||
| 6 | 3 | 8 | 7 | 1 | 2 | |||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | ||||||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 7 | 4 | 9 | 3 | 1 | |||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | 6 | Step 12: Complete Block II: #2 MUST go in Cell I7 | ||||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | |||
| 3 | 9 | 8 | 5 | 6 | 1 | |||||||
| 4 | 2 | 3 | 4 | 6 | 8 | Step 13: Block EE needs #1: #1 MUST go in Cell D5 | ||||||
| 5 | 5 | 8 | 1 | 6 | 2 | 9 | 4 | (#1 in Column F @ F2 excludes use of Cells F4 & F6) | ||||
| 6 | 3 | 8 | 7 | 1 | 2 | |||||||
| 7 | 4 | 1 | 9 | 7 | 8 | 5 | 2 | |||||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 7 | 4 | 9 | 3 | 1 | |||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | 6 | Step 14: Complete Row 5: need #s 3 & 7 | ||||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | #3 can't go in Cell A5 (cf #3 in Column A @ A2), so | ||
| 3 | 9 | 8 | 5 | 6 | 1 | #3 MUST go in Cell G5, & therefore #7 MUST go in Cell A5 | ||||||
| 4 | 2 | 3 | 4 | 6 | 8 | |||||||
| 5 | 7 | 5 | 8 | 1 | 6 | 2 | 3 | 9 | 4 | Step 15: Complete Row 7: need #s 3 & 6 | ||
| 6 | 3 | 8 | 7 | 1 | 2 | #6 can't go in Cell E7 (cf #6 in Column E @ E5), so | ||||||
| 7 | 6 | 4 | 1 | 9 | 3 | 7 | 8 | 5 | 2 | #6 MUST go in Cell A7, & therefore #3 MUST go in Cell E7 | ||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 7 | 4 | 9 | 3 | 1 | |||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 9 | 3 | 5 | 6 | Step 16: Complete Column G: #7 MUST go in Cell G3 | ||||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | |||
| 3 | 9 | 8 | 5 | 2 | 6 | 7 | 1 | |||||
| 4 | 2 | 3 | 4 | 6 | 8 | Step 17: Complete Column E: need #s 2 & 5 | ||||||
| 5 | 7 | 5 | 8 | 1 | 6 | 2 | 3 | 9 | 4 | #5 can't go in Cell E3 (cf #5 in Row 3 @ C3), so | ||
| 6 | 3 | 8 | 7 | 1 | 2 | #5 MUST go in Cell E9, & therefore #2 MUST go in Cell E3 | ||||||
| 7 | 6 | 4 | 1 | 9 | 3 | 7 | 8 | 5 | 2 | |||
| 8 | 9 | 2 | 1 | 4 | 7 | 6 | ||||||
| 9 | 7 | 5 | 4 | 9 | 3 | 1 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 9 | 3 | 5 | 6 | Step 18: #7 is in Rows 2 & 3: #7 MUST go in Cell D1 | |||||
| 2 | 3 | 6 | 7 | 5 | 8 | 1 | 2 | 4 | 9 | |||
| 3 | 9 | 8 | 5 | 2 | 6 | 7 | 1 | |||||
| 4 | 2 | 3 | 4 | 6 | 8 | Step 19: Complete Block HH: need #s 6 & 8 | ||||||
| 5 | 7 | 5 | 8 | 1 | 6 | 2 | 3 | 9 | 4 | #8 can't go in Cell D9 (cf #8 in Column D @ D6), so | ||
| 6 | 3 | 8 | 7 | 1 | 2 | #8 MUST go in Cell F8, & therefore #6 MUST go in Cell D9 | ||||||
| 7 | 6 | 4 | 1 | 9 | 3 | 7 | 8 | 5 | 2 | |||
| 8 | 9 | 2 | 1 | 8 | 4 | 7 | 6 | |||||
| 9 | 7 | 6 | 5 | 4 | 9 | |||||||