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