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Solving a Sudoku Puzzle. By Marlene Walther ATeacherFirst.com. Rows go across …. Use the numbers from 1 to 9 only!. Each row has 9 cells across. The numbers 1 to 9 will appear only once in each row. There are 9 rows in a puzzle. Columns go down ….
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Solving a Sudoku Puzzle By Marlene Walther ATeacherFirst.com
Rows go across … • Use the numbers from 1 to 9 only! Each row has 9 cells across The numbers 1 to 9 will appear only once in each row There are 9 rows in a puzzle
Columns go down … Each column has 9 cells down The numbers 1 to 9 will appear only once in each column There are 9 columns in each puzzle
Blocks … The numbers 1-9 will appear only once in each 3 x 3 block There are 9 blocks in each puzzle
So … We have 9 columns We have 9 rows And we have 9 blocks
Step #1 • Look at the three blocks on the left side of the puzzle Notice which numbers are repeated (1, 3, 4, 7) Notice that the number 3 is in Column 1 and Column 2
Step #1 • The number 3 can appear only once in each column The number 3 is already in Column 1 and Column 2, so where will it go in Column 3? The number 3 must appear in the bottom block because it is in the top two blocks already
Step #1 The number 3 cannot appear in any column or row where it is already The number 3 cannot appear in any block where it is already It must go here – the only place left
Step #1 • Write the number 3 in the cell 3
Step #2 • Look at the number 1 in the three blocks on the left The number 1 cannot appear in those two columns again The number 1 cannot appear in the top or bottom block 3 There is only one cell in the third column where the number 1 can go. Can you find it?
Step #2 Did you get it right? 1 3
Step #3 • Look at the number 4 in the first three blocks on the left The number 4 cannot appear in those two columns or those two blocks again 1 There is only one cell in the top block where the number 4 can go. Can you find it? 3
Step #3 4 Did you get it right? 1 3
Step #4 4 • Look at the number 7 in the middle three blocks The number 7 cannot appear in those two columns again 1 There is only one cell in the top middle block where the number 7 can go. Can you find it? 3
Step #4 4 7 Did you get it right? 1 3
Step #5 4 • Look at the 7’s in the top three blocks and the blocks on the left 7 The number 7 cannot appear in any row or column twice 1 There is only one cell in the top block where the number 7 can go. Can you find it? 3
Step #5 4 7 7 Did you get it right? 1 3
Step #6 4 • Notice all the 7’s in the puzzle. 7 There is one 7 in every block except the bottom right block 7 1 There is only one cell where the number 7 can go. Can you find it? 3
Step #6 4 Did you get it right? 7 7 1 3 7
Step #7 4 7 Where will the 4 go in this block? 7 1 Would you like a hint? 3 7
Step #7 4 7 7 1 3 7
Step #7 4 Did you get it right? 7 4 7 1 3 7
Step #8 4 Fill in the number 4 in the bottom right block There is only one cell where it can go 7 4 7 1 3 7
Step #8 4 7 4 7 Did you get it right? 1 3 7 4
Step #9 4 There is only one possible cell for the number 3 in the bottom right block Where does the number 3 go? Would you like a hint? 7 4 7 1 3 7 4
Step #9 4 7 4 7 There is only one cell where the number 3 can go Can you find it? 1 3 7 4
Step #9 4 7 4 7 Did you get it right? 1 3 7 3 4
Step #10 4 7 4 Where will the number 3 go in the middle block? Would you like a hint? 7 1 3 7 3 4
Step #10 4 7 4 7 There is only one possible place for the number 3 in the middle block 1 3 7 3 4
Step #10 4 Did you get it right? 7 4 7 1 3 3 7 3 4
Step #11 4 7 4 Where will the number 3 go in the top middle block? There is only one cell where it can go 7 1 3 3 7 3 4
Step #11 4 7 3 4 7 1 3 Did you get it right? 3 7 3 4
Step #12 4 Can you figure out where the number 2 will go in the top left block? Would you like a hint? 7 3 4 7 1 3 3 7 3 4
Step #12 4 7 3 4 7 There is only one possible cell for the number 2 in the top left block. 1 3 3 7 3 4
Step #12 4 2 7 3 4 7 Did you get it right? 1 3 3 7 3 4
Step #13 4 2 There are only two cells open in the top middle block You can use the numbers 1-9 only once in each block Which two numbers must go in those two cells? 7 3 4 7 1 3 3 7 3 4
Step #13 4 2 The numbers 2 and 9 must go in this block There is only one place for the number 2 Would you like a hint? 7 3 4 7 1 3 3 7 3 4
Step #13 The number 2 cannot go in the top row because there is a 2 in that row Therefore, 2 must go in the third row And then the number 9 must go in the top row (the only cell remaining in that block) 4 2 7 3 4 7 1 3 3 7 3 4
Step #13 4 2 9 You can now see that the top middle block has all the numbers from 1-9 in it Please note that no number is repeated in that block 7 3 4 7 2 1 3 3 7 3 4
Step #14 4 2 9 3 Where will the 3 go in the top right block? 7 3 4 7 2 1 3 Did you get it right? 3 7 3 4
Step #15 4 2 9 3 Where will the 5 go in the top left block? 7 3 4 7 5 2 1 3 Did you get it right? 3 7 3 4
Step #16 4 2 9 3 Where will the 9 go in the top left block? 7 9 3 4 7 5 2 1 3 Did you get it right? 3 7 3 4
Step #17 4 2 8 9 3 There is only one number to go in the top left block What number has not been used? 7 9 3 4 7 5 2 1 3 Did you get it right? 3 7 3 4
Step #18 4 2 8 9 6 3 There is only one number to go in the top row What number has not been used? Did you get it right? 7 9 3 4 7 5 2 1 3 3 7 3 4
Step #19 4 2 8 9 6 3 There is only one number to go in the second row What number has not been used? Did you get it right? 9 5 7 3 4 7 5 2 1 3 3 7 3 4
Step #20 4 2 8 9 6 3 There are two numbers that need to go in the top right block What numbers have not been used? 7 9 3 4 5 7 5 2 1 3 3 7 3 4
Step #20 4 2 8 9 6 3 The two numbers are 9 and 1 The 9 can go in only one cell because there is a 9 in one of the columns 7 9 3 4 5 7 5 2 9 1 1 3 Did you get it right? 3 7 The number 1 will go in the last cell. 3 4
Step #21 4 2 8 9 6 3 There are two numbers that need to go in this row What two numbers have not been used? 7 9 3 4 5 7 5 2 9 1 1 3 3 7 3 4
Step #21 The 2 cannot go in the second column twice, so it must go in the 5th column 4 2 8 9 6 3 7 9 3 4 5 7 5 2 9 1 8 1 2 3 The 8 cannot go in the 5th column, so it must go in the 2nd column 3 7 3 4
Step #22 4 2 8 9 6 3 7 9 3 4 5 Fill in the missing number in this column 7 5 2 9 1 1 8 2 3 6 3 7 3 4