
| Easy Puzzle #48 - One Possible Solution Approach… | ||||||||||||
| NB: There is only one final solution to this Sudoku puzzle… | ||||||||||||
| 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 | Easy Puzzle #48 - November 17, 2005 | ||||||||||
| 2 | 3 | 1 | 7 | 9 | 4 | Original puzzle as published © joe-ks.com | ||||||
| 3 | 4 | 6 | 9 | 2 | 3 | 5 | 1 | 7 | ||||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 2 | 8 | 4 | 7 | 9 | |||||||
| 9 | 6 | |||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 8 | 5 | 2 | Step 1: #8 is in Columns A & B: #8 MUST go in Cell C1... | ||||||||
| 2 | 3 | 1 | 7 | 9 | 4 | |||||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | Step 2: #8 is in Columns D & F: #8 MUST go in Cell E3... | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | Step 3: #2 is in Columns H & I: #2 MUST go in Cell G1... | ||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 2 | 8 | 4 | 7 | 9 | |||||||
| 9 | 6 | |||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 8 | 5 | 6 | 2 | Step 4: Complete Column C: #1 MUST go in Cell C9... | |||||||
| 2 | 3 | 1 | 7 | 9 | 4 | |||||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | Step 5: #6 is in Columns D & E: #6 MUST go in Cell F1... | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 2 | 8 | 4 | 7 | 9 | |||||||
| 9 | 1 | 6 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 8 | 4 | 5 | 6 | 2 | Step 6: Complete Block BB: #4 MUST go in Cell D1... | |||||
| 2 | 3 | 1 | 7 | 9 | 4 | |||||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | Step 7: #1 is in Columns B & C: #1 MUST go in Cell A1 | ||
| 4 | 8 | 2 | 4 | (#1 in Row 2 @ D2 excludes use of Cell A2) | ||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 2 | 8 | 4 | 7 | 9 | |||||||
| 9 | 1 | 6 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 8: Block AA needs #7: #7 MUST go in Cell B1 | ||||
| 2 | 3 | 1 | 7 | 9 | 4 | (#7 in Row 2 @ E2 excludes use of Cells A2, B2 & C2) | ||||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | |||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 2 | 8 | 4 | 7 | 9 | |||||||
| 9 | 1 | 6 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 9: Complete Block AA: need #s 2 & 5… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #2 can't go in Cell B2 (cf #2 in Column B @ B4), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #2 MUST go in Cell A2, & therefore #5 MUST go in Cell B2 | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 2 | 8 | 4 | 7 | 9 | |||||||
| 9 | 1 | 6 | ||||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 10: Complete Column A: need #s 5 & 6… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #6 can't go in Cell A9 (cf #6 in Row 9 @ E9), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #6 MUST go in Cell A8, & therefore #5 MUST go in Cell A9 | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 2 | 8 | 4 | 7 | 9 | ||||||
| 9 | 5 | 1 | 6 | |||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 11: Complete Block GG: need #s 3 & 4… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #4 can't go in Cell B8 (cf #4 in Row 8 @ E8), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #4 MUST go in Cell B9, & therefore #3 MUST go in Cell B8 | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | |||||
| 9 | 5 | 4 | 1 | 6 | ||||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 12: Complete Block HH: need #s 2 & 9… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #2 can't go in Cell D9 (cf #2 in Column D @ D3), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #2 MUST go in Cell F9, & therefore #9 MUST go in Cell D9 | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | |||||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 13: Complete Row 8: need #s 1 & 5… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #1 can't go in Cell H8 (cf #1 in Column H @ H3), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #1 MUST go in Cell I8, & therefore #5 MUST go in Cell H8 | ||
| 4 | 8 | 2 | 4 | |||||||||
| 5 | 3 | 9 | 6 | |||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 14: Complete Column D: need #s 3 & 7… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #3 can't go in Cell D5 (cf #3 in Row 5 @ A5), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #3 MUST go in Cell D4, & therefore #7 MUST go in Cell D5 | ||
| 4 | 8 | 2 | 4 | 3 | ||||||||
| 5 | 3 | 9 | 6 | 7 | ||||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 15: Complete Column E: need #s 1 & 2… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #2 can't go in Cell E4 (cf #2 in Row 4 @ E4), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #2 MUST go in Cell E5, & therefore #1 MUST go in Cell E4 | ||
| 4 | 8 | 2 | 4 | 3 | 1 | |||||||
| 5 | 3 | 9 | 6 | 7 | 2 | |||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 16: Complete Block EE: need #s 4 & 5… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #4 can't go in Cell F4 (cf #4 in Row 4 @ C4), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #4 MUST go in Cell F5, & therefore #5 MUST go in Cell F4 | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | ||||||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | ||||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 17: Row 5 needs #1: #1 MUST go in Cell G5 | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | (#1 in Column H @ H3 excludes use of Cell H5, & | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #1 in Column I @ I8 excludes use of Cell I5) | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | ||||||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | 1 | |||||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 18: Complete Row 5: need #s 5 & 8… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #5 can't go in Cell H5 (cf #5 in Column H @ H8), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #5 MUST go in Cell I5, & therefore #8 MUST go in Cell H5 | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | ||||||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | 1 | 8 | 5 | |||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | ||||||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 19: Complete Column G: need #s 7 & 8… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | #8 can't go in Cell G4 (cf #8 in Row 4 @ A4), so | ||||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #8 MUST go in Cell G9, & therefore #7 MUST go in Cell G4 | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | 7 | |||||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | 1 | 8 | 5 | Step 20: #7 is now in Columns G & I: #7 MUST go in Cell H9… | ||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | Step 21: Complete Block II: #3 MUST go in Cell I9… | ||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | 8 | 7 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | Step 22: Complete Row 2: need #s 6 & 8… | ||||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | 6 | 8 | #8 can't go in Cell H2 (cf #8 in Column H @ H5), so | ||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | #8 MUST go in Cell I2, & therefore #6 MUST go in Cell H2 | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | 7 | 6 | ||||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | 1 | 8 | 5 | Step 23: #6 is now in Columns G & H: #6 MUST go in Cell I4... | ||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | |||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | 8 | 7 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | 3 | 9 | Step 24: Complete Column I: #9 MUST go in Cell I1... | ||
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | 6 | 8 | |||
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | Step 25: Complete Block CC: #3 MUST go in Cell H1... | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | 7 | 9 | 6 | |||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | 1 | 8 | 5 | Step 26: Complete Block FF (& Puzzle): | ||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | #9 MUST go in Cell H4. | ||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | |||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | |||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | 8 | 7 | 3 | |||
| A | B | C | D | E | F | G | H | I | ||||
| 1 | 1 | 7 | 8 | 4 | 5 | 6 | 2 | 3 | 9 | 45 | Final Proof: | |
| 2 | 2 | 5 | 3 | 1 | 7 | 9 | 4 | 6 | 8 | 45 | - All Rows add up to 45; | |
| 3 | 4 | 6 | 9 | 2 | 8 | 3 | 5 | 1 | 7 | 45 | ||
| 4 | 8 | 2 | 4 | 3 | 1 | 5 | 7 | 9 | 6 | 45 | ||
| 5 | 3 | 9 | 6 | 7 | 2 | 4 | 1 | 8 | 5 | 45 | ||
| 6 | 7 | 1 | 5 | 6 | 9 | 8 | 3 | 2 | 4 | 45 | ||
| 7 | 9 | 8 | 7 | 5 | 3 | 1 | 6 | 4 | 2 | 45 | ||
| 8 | 6 | 3 | 2 | 8 | 4 | 7 | 9 | 5 | 1 | 45 | ||
| 9 | 5 | 4 | 1 | 9 | 6 | 2 | 8 | 7 | 3 | 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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