
| Easy Puzzle #14 - 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 | 5 | 4 | 9 | Easy Puzzle #14 - October 14, 2005 | |||||||
| 2 | 4 | 2 | 5 | 1 | One possible Solution Method follows below | ||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | |||||
| 4 | 4 | 1 | 8 | 7 | |||||||
| 5 | 2 | 7 | 4 | ||||||||
| 6 | 9 | 6 | 5 | ||||||||
| 7 | 7 | 5 | 8 | 6 | 2 | ||||||
| 8 | 2 | 6 | 9 | 4 | 3 | 1 | |||||
| 9 | 3 | 5 | 2 | 9 | |||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 4 | 9 | Step 1: #5 is in Rows 1 & 2: #5 MUST go in Cell I3 | |||||||
| 2 | 4 | 2 | 5 | 1 | |||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | ||||
| 4 | 4 | 1 | 8 | 7 | Step 2: #6 is in Rows 7 & 8: #6 MUST go in Cell D9 | ||||||
| 5 | 2 | 7 | 4 | ||||||||
| 6 | 9 | 6 | 5 | ||||||||
| 7 | 7 | 5 | 8 | 6 | 2 | ||||||
| 8 | 2 | 6 | 9 | 4 | 3 | 1 | |||||
| 9 | 3 | 6 | 5 | 2 | 9 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 4 | 9 | Step 3: #4 is in Columns A & B: #4 MUST go in Cell C9 | |||||||
| 2 | 4 | 2 | 5 | 1 | (cf #4 in Row 8 @ E8 excludes use of Cell C8) | ||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | ||||
| 4 | 4 | 1 | 8 | 7 | Step 4: #5 is in Columns H & I: #5 MUST go in Cell G8 | ||||||
| 5 | 2 | 7 | 4 | ||||||||
| 6 | 9 | 6 | 5 | ||||||||
| 7 | 7 | 5 | 8 | 6 | 2 | ||||||
| 8 | 2 | 6 | 9 | 4 | 5 | 3 | 1 | ||||
| 9 | 3 | 4 | 6 | 5 | 2 | 9 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 4 | 9 | Step 5: #4 is in Rows 8 & 9: #4 MUST go in Cell I7 | |||||||
| 2 | 4 | 2 | 5 | 1 | |||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | ||||
| 4 | 4 | 1 | 8 | 7 | Step 6: #4 is in Rows 4 & 5: #4 MUST go in Cell D6 | ||||||
| 5 | 2 | 7 | 4 | (cf #4 in Column F @ F1 excludes use of Cell F6) | |||||||
| 6 | 9 | 4 | 6 | 5 | |||||||
| 7 | 7 | 5 | 8 | 6 | 2 | 4 | |||||
| 8 | 2 | 6 | 9 | 4 | 5 | 3 | 1 | ||||
| 9 | 3 | 4 | 6 | 5 | 2 | 9 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 2 | 4 | 9 | Step 7: Block HH needs #7: #7 MUST go in Cell F8 | ||||||
| 2 | 4 | 2 | 5 | 1 | (#7 in Row 7 @ B7 excludes use of Cells E7 & F7) | ||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | ||||
| 4 | 4 | 1 | 8 | 7 | Step 8: #2 is in Rows 2 & 3: #2 MUST go in Cell E1 | ||||||
| 5 | 2 | 7 | 4 | (cf #2 in Column D @ D5 excludes use of Cell D1) | |||||||
| 6 | 9 | 4 | 6 | 5 | |||||||
| 7 | 7 | 5 | 8 | 6 | 2 | 4 | |||||
| 8 | 2 | 6 | 9 | 4 | 7 | 5 | 3 | 1 | |||
| 9 | 3 | 4 | 6 | 5 | 2 | 9 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 2 | 4 | 9 | Step 9: Complete Block HH: need #s 1 & 3 | ||||||
| 2 | 4 | 2 | 5 | 1 | #1 can't go in Cell E7 (cf #1 in Column E @ E4), so | ||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | #1 MUST go in Cell F7, & therefore #3 MUST go in Cell E7 | |||
| 4 | 4 | 1 | 8 | 7 | |||||||
| 5 | 2 | 7 | 4 | 1 | Step 10: #1 is in Columns G & I: #1 MUST go in Cell H5 | ||||||
| 6 | 9 | 4 | 6 | 5 | |||||||
| 7 | 7 | 5 | 8 | 3 | 1 | 6 | 2 | 4 | |||
| 8 | 2 | 6 | 9 | 4 | 7 | 5 | 3 | 1 | |||
| 9 | 3 | 4 | 6 | 5 | 2 | 9 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 1 | 2 | 4 | 9 | Step 11: Complete Block II: need #s 7 & 8 | |||||
| 2 | 4 | 2 | 5 | 1 | #7 can't go in Cell H9 (cf #7 in Column H @ H4), so | ||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | #7 MUST go in Cell I9, & therefore #8 MUST go in Cell H9 | |||
| 4 | 4 | 1 | 8 | 7 | |||||||
| 5 | 2 | 7 | 4 | 1 | Step 12: #8 is now in Rows 7 & 9: #8 MUST go in Cell C8 | ||||||
| 6 | 9 | 4 | 6 | 5 | |||||||
| 7 | 7 | 5 | 8 | 3 | 1 | 6 | 2 | 4 | Step 13: #1 is in Rows 2 & 3: #1 MUST go in Cell D1 | ||
| 8 | 2 | 6 | 8 | 9 | 4 | 7 | 5 | 3 | 1 | ||
| 9 | 3 | 4 | 6 | 5 | 2 | 9 | 8 | 7 | |||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 1 | 2 | 4 | 9 | Step 14: Complete Row 7: #9 MUST go in Cell A7 | |||||
| 2 | 4 | 2 | 5 | 1 | |||||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | Step 15: Complete Row 9 (& Block GG): | |||
| 4 | 4 | 1 | 8 | 7 | #1 MUST go in Cell A9 | ||||||
| 5 | 2 | 7 | 4 | 1 | |||||||
| 6 | 9 | 1 | 4 | 6 | 5 | Step 16: #1 is in Rows 4 & 5: #1 MUST go in Cell C6 | |||||
| 7 | 9 | 7 | 5 | 8 | 3 | 1 | 6 | 2 | 4 | (cf #1 from Step 15 @ A9 excludes use of Cell A6) | |
| 8 | 2 | 6 | 8 | 9 | 4 | 7 | 5 | 3 | 1 | ||
| 9 | 1 | 3 | 4 | 6 | 5 | 2 | 9 | 8 | 7 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 1 | 2 | 4 | 7 | 9 | Step 17: Complete Column D: need #s 3 & 5 | ||||
| 2 | 4 | 2 | 3 | 5 | 1 | #5 can't go in Cell D2 (cf #5 in Row 2 @ F2), so | |||||
| 3 | 1 | 9 | 7 | 8 | 2 | 4 | 5 | #5 MUST go in Cell D4, & therefore #3 MUST go in Cell D2 | |||
| 4 | 4 | 5 | 1 | 8 | 7 | ||||||
| 5 | 2 | 7 | 4 | 1 | Step 18: #7 is in Columns H & I: #7 MUST go in Cell G1 | ||||||
| 6 | 9 | 1 | 4 | 6 | 5 | ||||||
| 7 | 9 | 7 | 5 | 8 | 3 | 1 | 6 | 2 | 4 | ||
| 8 | 2 | 6 | 8 | 9 | 4 | 7 | 5 | 3 | 1 | ||
| 9 | 1 | 3 | 4 | 6 | 5 | 2 | 9 | 8 | 7 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 8 | 1 | 2 | 4 | 7 | 9 | Step 19: Complete Block BB: need #s 6 & 9 | |||
| 2 | 4 | 2 | 3 | 9 | 5 | 1 | 6 | #6 can't go in Cell E2 (cf #6 in Column E @ E6), so | |||
| 3 | 1 | 9 | 7 | 8 | 6 | 2 | 4 | 5 | #6 MUST go in Cell F3, & therefore #9 MUST go in Cell E2 | ||
| 4 | 4 | 5 | 1 | 8 | 7 | ||||||
| 5 | 5 | 2 | 7 | 4 | 1 | Step 20: Complete Column B: need #s 5 & 8 | |||||
| 6 | 9 | 1 | 4 | 6 | 5 | #5 can't go in Cell B1 (cf #5 in Row 1 @ A1), so | |||||
| 7 | 9 | 7 | 5 | 8 | 3 | 1 | 6 | 2 | 4 | #5 MUST go in Cell B5, & therefore #8 MUST go in Cell B1 | |
| 8 | 2 | 6 | 8 | 9 | 4 | 7 | 5 | 3 | 1 | ||
| 9 | 1 | 3 | 4 | 6 | 5 | 2 | 9 | 8 | 7 | Step 21: Complete Column H: #6 MUST go in Cell H2 | |
| A | B | C | D | E | F | G | H | I | |||
| 1 | 5 | 8 | 1 | 2 | 4 | 7 | 9 | 3 | Step 22: Complete Block CC: need #s 3 & 8 | ||
| 2 | 4 | 2 | 3 | 9 | 5 | 1 | 6 | 8 | #3 can't go in Cell I2 (cf #3 in Row 2 @ D2), so | ||
| 3 | 1 | 9 | 7 | 8 | 6 | 2 | 4 | 5 | #3 MUST go in Cell I1, & therefore #8 MUST go in Cell I2 | ||
| 4 | 4 | 5 | 1 | 8 | 7 | ||||||
| 5 | 5 | 2 | 7 | 4 | 1 | Step 23: Complete Column G: #3 MUST go in Cell G6 | |||||