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