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