Complete the Sudoku
Answer
630.3k+ views
Hint: Here the question is related to Sudoku. The Sudoku contains 4 cross 4 table and each row and column should contain numbers starting from 1 to 4. We have to fill each row and column by numbers such that none of the numbers should repeat in the row and column.
Complete step-by-step answer:
Now consider the Sudoku which has been given
The third row of the Sudoku has been filled completely. If we see the second column since it is filled with 1, 3, 2 numbers so the second column second row the element will be 4.
so, we have,
Consider the second row of the Sudoku. It is filled with 2, 4, and 3 numbers then the second row and forth column element will be 1. Hence the second row and third row of the Sudoku is completed.
So we have,
If we see the first row and the fourth-row single element is containing.
So now consider the first column it is having elements 2 and 4 we can’t place 1 as first row and first column element. Because the second row second column element is 1. Therefore, the first row first column element will be 3. Then the first column fourth row element will be 1.
So, we have
Now consider the first row of the Sudoku. Since it contains 4 and 1 elements we have to place 2 and 3 elements in the first row. If we place 3 in the first row third column element it will be wrong. Because the second row third column has 3 as its element. So it is impossible. Therefore the first row third column element will be 2 and the first row fourth element will be 3.
So, we have,
Now we left out the fourth row and hence we can easily determine the elements which to be filled in the row that is fourth row third column element is 4 and fourth row fourth column element is 3.
Hence, we have completed the Sudoku.
Note: Sudoku is a game where we have to fill boxes with the numbers such that no number should repeat in the column and row but every row and column should be filled with numbers distinctly. Sudoku is a mind related game. It helps the students in their thinking ability.
Complete step-by-step answer:
Now consider the Sudoku which has been given
The third row of the Sudoku has been filled completely. If we see the second column since it is filled with 1, 3, 2 numbers so the second column second row the element will be 4.
so, we have,
Consider the second row of the Sudoku. It is filled with 2, 4, and 3 numbers then the second row and forth column element will be 1. Hence the second row and third row of the Sudoku is completed.
So we have,
If we see the first row and the fourth-row single element is containing.
So now consider the first column it is having elements 2 and 4 we can’t place 1 as first row and first column element. Because the second row second column element is 1. Therefore, the first row first column element will be 3. Then the first column fourth row element will be 1.
So, we have
Now consider the first row of the Sudoku. Since it contains 4 and 1 elements we have to place 2 and 3 elements in the first row. If we place 3 in the first row third column element it will be wrong. Because the second row third column has 3 as its element. So it is impossible. Therefore the first row third column element will be 2 and the first row fourth element will be 3.
So, we have,
Now we left out the fourth row and hence we can easily determine the elements which to be filled in the row that is fourth row third column element is 4 and fourth row fourth column element is 3.
Hence, we have completed the Sudoku.
Note: Sudoku is a game where we have to fill boxes with the numbers such that no number should repeat in the column and row but every row and column should be filled with numbers distinctly. Sudoku is a mind related game. It helps the students in their thinking ability.
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