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