
| Easy Puzzle #23 - 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 | 3 | 9 | 7 | 8 | 6 | Easy Puzzle #23 - October 23, 2005 | ||||
| 2 | 2 | 4 | 8 | 1 | 5 | Original puzzle as published on joe-ks.com | |||||
| 3 | 5 | 2 | 4 | ||||||||
| 4 | 6 | 5 | 7 | 4 | |||||||
| 5 | 4 | 3 | 6 | 7 | |||||||
| 6 | 8 | 4 | 5 | 3 | |||||||
| 7 | 7 | 2 | |||||||||
| 8 | 5 | 6 | 9 | 7 | 8 | ||||||
| 9 | 9 | 6 | 4 | 3 | 1 | 2 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 9 | 7 | 4 | 8 | 6 | Step 1: #4 is in Rows 2 & 3: #4 MUST go in Cell F1 | |||
| 2 | 2 | 4 | 8 | 1 | 5 | ||||||
| 3 | 5 | 2 | 4 | ||||||||
| 4 | 6 | 5 | 7 | 4 | Step 2: #7 is in Rows 4 & 5: #7 MUST go in Cell A6 | ||||||
| 5 | 4 | 3 | 6 | 7 | (cf #7 in Column C @ C7 excludes use of Cell C6) | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | ||||||
| 7 | 7 | 2 | |||||||||
| 8 | 5 | 6 | 9 | 7 | 8 | ||||||
| 9 | 9 | 6 | 4 | 3 | 1 | 2 | |||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 9 | 7 | 4 | 8 | 6 | Step 3: #3 is in Columns B & C: #3 MUST go in Cell A7 | |||
| 2 | 2 | 4 | 8 | 1 | 5 | ||||||
| 3 | 5 | 2 | 4 | ||||||||
| 4 | 6 | 5 | 7 | 4 | Step 4: #7 is in Columns E & F: #7 MUST go in Cell D9 | ||||||
| 5 | 4 | 3 | 6 | 7 | (cf #7 in Row 7 @ C7 excludes use of Cell D7) | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | ||||||
| 7 | 3 | 7 | 2 | 4 | Step 5: #4 is in Column G & H: #4 MUST go in Cell I7 | ||||||
| 8 | 5 | 6 | 9 | 7 | 8 | ||||||
| 9 | 9 | 6 | 7 | 4 | 3 | 1 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 9 | 7 | 4 | 8 | 6 | Step 6: Complete Column A: #8 MUST go in Cell A3 | |||
| 2 | 2 | 4 | 8 | 1 | 5 | ||||||
| 3 | 8 | 5 | 2 | 4 | |||||||
| 4 | 6 | 5 | 7 | 8 | 4 | Step 7: #8 is in Columns H & I: #8 MUST go in Cell G4 | |||||
| 5 | 4 | 3 | 6 | 7 | (cf #8 in Row 6 @ B6 excludes use of G6) | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | ||||||
| 7 | 3 | 7 | 2 | 4 | |||||||
| 8 | 5 | 6 | 9 | 7 | 8 | ||||||
| 9 | 9 | 6 | 7 | 4 | 3 | 1 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 9 | 7 | 4 | 8 | 6 | Step 8: Complete Block BB: need #s 3 & 6 | |||
| 2 | 2 | 4 | 8 | 6 | 1 | 7 | 5 | #6 can't go in Cell D3 (cf #6 in Column D @ D8), so | |||
| 3 | 8 | 3 | 5 | 2 | 4 | #6 MUST go in Cell E2, & therefore #3 MUST go in Cell D3 | |||||
| 4 | 6 | 5 | 7 | 8 | 4 | ||||||
| 5 | 4 | 3 | 6 | 7 | Step 9: #7 is in Columns H & I: #7 MUST go in Cell G2 | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | (cf #7 in Row 1 @ E1 excludes use of Cell G1) | |||||
| 7 | 3 | 7 | 2 | 4 | |||||||
| 8 | 5 | 6 | 9 | 7 | 8 | ||||||
| 9 | 9 | 6 | 7 | 4 | 3 | 1 | 2 | ||||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 9 | 7 | 4 | 8 | 6 | Step 10: Complete Row 2: need #s 3 & 9 | |||
| 2 | 2 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 5 | #3 can't go in Cell C2 (cf #3 in Column C @ C5), so | |
| 3 | 8 | 3 | 5 | 2 | 4 | #3 MUST go in Cell H2, & therefore #9 MUST go in Cell C2 | |||||
| 4 | 6 | 5 | 7 | 8 | 4 | ||||||
| 5 | 4 | 3 | 6 | 7 | Step 11: Complete Row 9: need #s 5 & 8 | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | #8 can't go in Cell G9 (cf #8 in Column G @ G4), so | |||||
| 7 | 3 | 7 | 2 | 4 | #8 MUST go in Cell C9, & therefore #5 MUST go in Cell G9 | ||||||
| 8 | 5 | 6 | 9 | 7 | 8 | ||||||
| 9 | 9 | 6 | 8 | 7 | 4 | 3 | 5 | 1 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 5 | 9 | 7 | 4 | 2 | 8 | 6 | Step 12: Complete Row 1: need #s 2 & 5 | |
| 2 | 2 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 5 | #5 can't go in Cell G1 (cf #5 in Column G @ G9), so | |
| 3 | 8 | 3 | 5 | 2 | 4 | #5 MUST go in Cell C1, & therefore #2 MUST go in Cell G1 | |||||
| 4 | 6 | 5 | 7 | 8 | 4 | ||||||
| 5 | 4 | 3 | 6 | 7 | Step 13: Block GG needs #4: #4 MUST go in Cell C8 | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | (cf #4 in Column B @ B2 excludes use of Cells B7 & B8) | |||||
| 7 | 3 | 7 | 2 | 4 | |||||||
| 8 | 5 | 4 | 6 | 9 | 7 | 8 | |||||
| 9 | 9 | 6 | 8 | 7 | 4 | 3 | 5 | 1 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 5 | 9 | 7 | 4 | 2 | 8 | 6 | Step 14: #7 is in Columns A & C: #7 MUST go in Cell B3 | |
| 2 | 2 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 5 | ||
| 3 | 8 | 7 | 6 | 3 | 5 | 2 | 4 | Step 15: Now only 1 cell left in Block AA: | |||
| 4 | 6 | 5 | 7 | 8 | 4 | #6 MUST go in Cell C3 | |||||
| 5 | 4 | 3 | 6 | 2 | 7 | ||||||
| 6 | 7 | 8 | 4 | 5 | 3 | Step 16: #2 is in Columns G & I: #2 MUST go in Cell H5 | |||||
| 7 | 3 | 7 | 2 | 4 | |||||||
| 8 | 5 | 4 | 6 | 9 | 7 | 8 | |||||
| 9 | 9 | 6 | 8 | 7 | 4 | 3 | 5 | 1 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 5 | 9 | 7 | 4 | 2 | 8 | 6 | Step 17: Complete Block CC: need #s 1 & 9 | |
| 2 | 2 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 5 | #1 can't go in Cell H3 (cf #1 in Column H @ H9), so | |
| 3 | 8 | 7 | 6 | 3 | 5 | 2 | 4 | 9 | 1 | #1 MUST go in Cell I3, & therefore #9 MUST go in Cell H3 | |
| 4 | 6 | 5 | 7 | 8 | 4 | ||||||
| 5 | 4 | 3 | 6 | 2 | 7 | Step 18: Complete Block GG: need #s 1 & 2 | |||||
| 6 | 7 | 8 | 4 | 5 | 3 | #2 can't go in Cell B7 (cf #2 in Row 7 @ E7), so | |||||
| 7 | 3 | 1 | 7 | 2 | 4 | #2 MUST go in Cell B8, & therefore #1 MUST go in Cell B7 | |||||
| 8 | 5 | 2 | 4 | 6 | 9 | 7 | 8 | ||||
| 9 | 9 | 6 | 8 | 7 | 4 | 3 | 5 | 1 | 2 | ||
| A | B | C | D | E | F | G | H | I | |||
| 1 | 1 | 3 | 5 | 9 | 7 | 4 | 2 | 8 | 6 | Step 19: Complete Column B: #9 MUST go in Cell B5 | |
| 2 | 2 | 4 | 9 | 8 | 6 | 1 | 7 | 3 | 5 | ||
| 3 | 8 | 7 | 6 | 3 | 5 | 2 | 4 | 9 | 1 | Step 20: Complete Column H: #6 MUST go in Cell H7 | |
| 4 | 6 | 5 | 7 | 8 | 4 | 9 | |||||
| 5 | 4 | 9 | 3 | 6 | 2 | 7 | Step 21: Complete Column I: #9 MUST go in Cell I4 | ||||
| 6 | 7 | 8 | 4 | 5 | 3 | ||||||
| 7 | 3 | 1 | 7 | 2 | |||||||