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