
| Easy Puzzle #21 - 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 | 3 | 2 | 4 | Easy Puzzle #21 - October 21, 2005 | ||||||
| 2 | 2 | 1 | 7 | 4 | Original puzzle as published on joe-ks.com… | ||||||
| 3 | 6 | 8 | 7 | ||||||||
| 4 | 5 | 7 | 8 | ||||||||
| 5 | 7 | 9 | 5 | 1 | 2 | ||||||
| 6 | 8 | 3 | 6 | 5 | 1 | ||||||
| 7 | 8 | 3 | 2 | 9 | 5 | ||||||
| 8 | 6 | 5 | 1 | ||||||||
| 9 | 9 | 8 | 1 | 7 | 3 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 3 | 2 | 4 | Step 1: #2 is in Rows 1 & 2: #2 MUST go in Cell F3… | ||||||
| 2 | 2 | 1 | 7 | 4 | |||||||
| 3 | 6 | 8 | 2 | 7 | |||||||
| 4 | 5 | 7 | 8 | Step 2: #7 is in Rows 4 & 5: #7 MUST go in Cell I6… | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | ||||||
| 6 | 8 | 3 | 6 | 5 | 1 | 7 | |||||
| 7 | 8 | 3 | 2 | 9 | 5 | Step 3: #3 is in Rows 7 & 9: #3 MUST go in Cell A8 | |||||
| 8 | 3 | 6 | 5 | 1 | (cf #3 in Column C @ C6 excludes use of Cell C8) | ||||||
| 9 | 9 | 8 | 1 | 7 | 3 | ||||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 3 | 2 | 4 | Step 4: #3 is in Columns A & C: #3 MUST go in Cell B3 | ||||||
| 2 | 2 | 1 | 7 | 4 | (cf #3 in Row 1 @ E1 excludes use of Cell B1) | ||||||
| 3 | 3 | 6 | 8 | 2 | 7 | ||||||
| 4 | 5 | 7 | 8 | Step 5: #6 is in Columns D & F: #6 MUST go in Cell E9… | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | ||||||
| 6 | 8 | 3 | 6 | 5 | 1 | 7 | |||||
| 7 | 8 | 3 | 2 | 9 | 5 | ||||||
| 8 | 3 | 6 | 5 | 1 | |||||||
| 9 | 9 | 8 | 6 | 1 | 7 | 3 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 8 | 3 | 2 | 4 | Step 6: Complete Column E: #9 MUST go in Cell E6… | ||||||
| 2 | 2 | 1 | 7 | 4 | |||||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | |||||
| 4 | 5 | 7 | 8 | Step 7: #1 is in Columns H & I: #1 MUST go in Cell G3 | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | (cf #1 in Row 2 @ B2 excludes use of Cell G2) | |||||
| 6 | 8 | 3 | 9 | 6 | 5 | 1 | 7 | ||||
| 7 | 8 | 3 | 2 | 9 | 5 | ||||||
| 8 | 3 | 6 | 5 | 1 | |||||||
| 9 | 9 | 8 | 6 | 1 | 7 | 3 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 7 | 8 | 3 | 2 | 4 | Step 8: #7 is in Rows 2 & 3: #7 MUST go in Cell B1 | |||||
| 2 | 2 | 1 | 7 | 4 | (cf #7 in Column A @ A5 excludes use of Cell A1) | ||||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | |||||
| 4 | 5 | 7 | 8 | Step 9: #6 is in Rows 8 & 9: #6 MUST go in Cell I7… | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | ||||||
| 6 | 8 | 3 | 9 | 6 | 5 | 1 | 7 | ||||
| 7 | 8 | 3 | 2 | 9 | 5 | 6 | |||||
| 8 | 3 | 6 | 5 | 1 | |||||||
| 9 | 9 | 8 | 6 | 1 | 7 | 3 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 7 | 8 | 1 | 3 | 2 | 4 | Step 10: #1 is in Rows 2 & 3: #1 MUST go in Cell D1 | ||||
| 2 | 2 | 1 | 7 | 4 | (cf #1 in Column F @ F9 excludes use of Cell F1) | ||||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | |||||
| 4 | 5 | 7 | 9 | 8 | Step 11: #9 is in Rows 5 & 6: #9 MUST go in Cell H4 | ||||||
| 5 | 7 | 9 | 5 | 1 | 2 | (cf #9 in Column G @ G7 excludes use of Cell G4) | |||||
| 6 | 8 | 3 | 9 | 6 | 5 | 1 | 7 | ||||
| 7 | 8 | 3 | 2 | 9 | 5 | 6 | |||||
| 8 | 3 | 6 | 5 | 1 | |||||||
| 9 | 9 | 8 | 6 | 1 | 7 | 3 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 7 | 8 | 1 | 3 | 2 | 4 | Step 12: Column H needs #4: #4 MUST go in Cell H8 | ||||
| 2 | 2 | 1 | 7 | 4 | (#4 in Row 1 @ I1 excludes Cell H1, & #4 in Row 2 @ E2 | ||||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | excludes Cell H2) | ||||
| 4 | 5 | 7 | 9 | 8 | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | ||||||
| 6 | 8 | 3 | 9 | 6 | 5 | 1 | 7 | ||||
| 7 | 8 | 3 | 2 | 9 | 5 | 6 | |||||
| 8 | 3 | 6 | 5 | 4 | 1 | ||||||
| 9 | 9 | 8 | 6 | 1 | 7 | 3 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 7 | 8 | 1 | 3 | 2 | 4 | Step 13: Complete Block II: need #s 2 & 8… | ||||
| 2 | 2 | 1 | 7 | 4 | #8 can't go in Cell I9 (cf #8 in Row 9 @ D9), so | ||||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | #8 MUST go in Cell G8, & therefore #2 MUST go in Cell I9 | ||||
| 4 | 5 | 7 | 9 | 8 | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | Step 14: Complete Column B: need #s 2 & 4… | |||||
| 6 | 8 | 2 | 3 | 9 | 6 | 5 | 1 | 7 | #2 can't go in Cell B8 (see #2 from Step 13 @ I9), so | ||
| 7 | 8 | 3 | 2 | 9 | 5 | 6 | #2 MUST go in Cell B6, & therefore #4 MUST go in Cell B8 | ||||
| 8 | 3 | 6 | 5 | 8 | 4 | 1 | |||||
| 9 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 2 | |||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 7 | 8 | 1 | 3 | 2 | 6 | 4 | Step 15: Complete Row 9: #5 MUST go in Cell A9… | |||
| 2 | 2 | 1 | 7 | 4 | 8 | ||||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | Step 16: Complete Column H: need #s 6 & 8… | ||||
| 4 | 5 | 7 | 9 | 8 | #8 can't go in Cell H1 (cf #8 in Row 1 @ C1), so | ||||||
| 5 | 7 | 9 | 5 | 1 | 2 | #8 MUST go in Cell H2, & therefore #6 MUST go in Cell H1 | |||||
| 6 | 8 | 2 | 3 | 9 | 6 | 5 | 1 | 7 | |||
| 7 | 8 | 3 | 2 | 9 | 5 | 6 | |||||
| 8 | 3 | 6 | 5 | 8 | 4 | 1 | |||||
| 9 | 5 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 9 | 7 | 8 | 1 | 3 | 5 | 2 | 6 | 4 | Step 17: Complete Row 1: need #s 5 & 9… | |
| 2 | 2 | 1 | 7 | 4 | 8 | #5 can’t go in Cell A1 (cf #5 in Column A @ A9), so | |||||
| 3 | 3 | 6 | 8 | 2 | 1 | 7 | #5 MUST go in Cell F1, & therefore #9 MUST go in Cell A1 | ||||
| 4 | 5 | 7 | 9 | 8 | |||||||
| 5 | 7 | 9 | 5 | 1 | 2 | Step 18: Complete Row 6: #4 MUST go in Cell D6… | |||||
| 6 | 8 | 2 | 3 | 4 | 9 | 6 | 5 | ||||