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