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