Step-By-Step Solution:
Initial Grid | |
First step - add in all possible valid pencilmarks. | |
Number 4 is the only value possible in cell (1,4). | ||
Number 6 is the only value possible in cell (1,3). | ||
Number 5 is the only value possible in cell (1,5). | ||
Number 6 is the only value possible in cell (2,6). | ||
Number 5 is the only value possible in cell (7,6). | ||
Number 4 is the only value possible in cell (9,6). | ||
Number 1 is the only value possible in cell (1,9). | ||
Number 2 is the only value possible in cell (1,8). | ||
For row 5, number 3 is only possible in cell (2,5) | ||
For row 7, number 3 is only possible in cell (4,7) | ||
For row 2, number 5 is only possible in cell (9,2) | ||
For row 2, number 2 is only possible in cell (4,2) | ||
For row 2, number 6 is only possible in cell (6,2) | ||
Number 7 is the only value possible in cell (6,9). | ||
Number 5 is the only value possible in cell (2,9). | ||
For row 1, number 2 is only possible in cell (2,1) | ||
For row 5, number 2 is only possible in cell (8,5) | ||
For row 5, number 9 is only possible in cell (7,5) | ||
For box 8, candidates for 4 are all in row 8, so you can remove candidates from other blocks. | ||
For box 4, candidates for 7 are all in column 3, so you can remove candidates from other blocks. | ||
Naked Pair for 1 and 8, can remove these as candidates from other cells. | ||
Naked Pair for 3 and 9, can remove these as candidates from other cells. | ||
For box 8, candidates for 9 are all in column 5, so you can remove candidates from other blocks. | ||
Naked Pair for 1 and 7, can remove these as candidates from other cells. | ||
Naked Pair for 7 and 8, can remove these as candidates from other cells. | ||
For box 3, candidates for 7 are all in column 7, so you can remove candidates from other blocks. | ||
For row 8, number 7 is only possible in cell (2,8) | ||
X-Wing in columns for 8. (X-Wings) | ||
Either candidate for cell (9,1) forces 9 into cell (5,7). | ||
Number 4 is the only value possible in cell (2,7). | ||
Number 9 is the only value possible in cell (2,3). | ||
Number 4 is the only value possible in cell (3,2). | ||
Number 9 is the only value possible in cell (8,2). | ||
Number 3 is the only value possible in cell (8,1). | ||
Number 9 is the only value possible in cell (6,1). | ||
Number 3 is the only value possible in cell (6,3). | ||
Number 4 is the only value possible in cell (8,3). | ||
Number 6 is the only value possible in cell (3,7). | ||
Number 7 is the only value possible in cell (8,7). | ||
Number 8 is the only value possible in cell (8,4). | ||
Number 7 is the only value possible in cell (3,4). | ||
Number 8 is the only value possible in cell (3,5). | ||
Number 7 is the only value possible in cell (9,5). | ||
Number 1 is the only value possible in cell (9,7). | ||
Number 8 is the only value possible in cell (9,1). | ||
Number 1 is the only value possible in cell (4,1). | ||
Number 7 is the only value possible in cell (5,2). | ||
Number 1 is the only value possible in cell (7,2). | ||
Number 8 is the only value possible in cell (5,3). | ||
Number 7 is the only value possible in cell (7,3). | ||
Number 4 is the only value possible in cell (4,5). | ||
Number 1 is the only value possible in cell (6,5). | ||
Number 9 is the only value possible in cell (3,8). | ||
Number 6 is the only value possible in cell (4,8). | ||
Number 1 is the only value possible in cell (5,8). | ||
Number 4 is the only value possible in cell (6,8). | ||
Number 8 is the only value possible in cell (7,8). | ||
Number 8 is the only value possible in cell (4,9). | ||
Number 6 is the only value possible in cell (8,9). |
