Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
To solve this Sudoku problem, let's determine the blank positions within the Sudoku grid and identify their coordinates step-by-step. Here's a detailed explanation:
1. Identify the given Sudoku grid:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline 2 & 1 & 5 & 8 & 9 & 4 & & & \\ \hline 7 & 3 & 4 & 6 & 1 & 2 & 9 & 5 & \\ \hline 9 & 6 & 8 & 7 & 5 & 3 & 4 & & \\ \hline 4 & 9 & 3 & 1 & 6 & 7 & 8 & 2 & \\ \hline 8 & 7 & 1 & 3 & 2 & 5 & & & 4 \\ \hline 5 & 2 & 6 & 9 & 8 & 1 & & & \\ \hline 3 & 7 & 9 & & 4 & & & 7 & 1 \\ \hline 6 & 4 & 2 & & & & & & 9 \\ \hline 1 & 8 & 7 & & 3 & & & & \\ \hline \end{array} \][/tex]
2. Locate all the blank positions (denoted by empty spaces):
- Row 1: Positions (0,6), (0,7), (0,8)
- Row 2: Positions (1,8)
- Row 3: Positions (2,7), (2,8)
- Row 4: Positions (3,8)
- Row 5: Positions (4,6), (4,7)
- Row 6: Positions (5,6), (5,7), (5,8)
- Row 7: Positions (6,3), (6,5), (6,8)
- Row 8: Positions (7,3), (7,4), (7,5), (7,6), (7,7)
- Row 9: Positions (8,3), (8,5), (8,6), (8,7), (8,8)
3. List the positions of the blanks:
[tex]\[ \begin{array}{c} (0,6), (0,7), (0,8), \\ (1,8), \\ (2,7), (2,8), \\ (3,8), \\ (4,6), (4,7), \\ (5,6), (5,7), (5,8), \\ (6,3), (6,5), (6,8), \\ (7,3), (7,4), (7,5), (7,6), (7,7), \\ (8,3), (8,5), (8,6), (8,7), (8,8) \\ \end{array} \][/tex]
4. Recap of the output:
The Sudoku board is:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline 2 & 1 & 5 & 8 & 9 & 4 & & & \\ \hline 7 & 3 & 4 & 6 & 1 & 2 & 9 & 5 & \\ \hline 9 & 6 & 8 & 7 & 5 & 3 & 4 & & \\ \hline 4 & 9 & 3 & 1 & 6 & 7 & 8 & 2 & \\ \hline 8 & 7 & 1 & 3 & 2 & 5 & & & 4 \\ \hline 5 & 2 & 6 & 9 & 8 & 1 & & & \\ \hline 3 & 7 & 9 & & 4 & & & 7 & 1 \\ \hline 6 & 4 & 2 & & & & & & 9 \\ \hline 1 & 8 & 7 & & 3 & & & & \\ \hline \end{array} \][/tex]
The list of blank positions is:
[tex]\[ \left[ (0, 6), (0, 7), (0, 8), (1, 8), (2, 7), (2, 8), (3, 8), (4, 6), (4, 7), (5, 6), (5, 7), (5, 8), (6, 3), (6, 5), (6, 8), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (8, 3), (8, 5), (8, 6), (8, 7), (8, 8) ] \][/tex]
This complete step-by-step ensures that we identified all the blank positions in the given Sudoku puzzle accurately.
1. Identify the given Sudoku grid:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline 2 & 1 & 5 & 8 & 9 & 4 & & & \\ \hline 7 & 3 & 4 & 6 & 1 & 2 & 9 & 5 & \\ \hline 9 & 6 & 8 & 7 & 5 & 3 & 4 & & \\ \hline 4 & 9 & 3 & 1 & 6 & 7 & 8 & 2 & \\ \hline 8 & 7 & 1 & 3 & 2 & 5 & & & 4 \\ \hline 5 & 2 & 6 & 9 & 8 & 1 & & & \\ \hline 3 & 7 & 9 & & 4 & & & 7 & 1 \\ \hline 6 & 4 & 2 & & & & & & 9 \\ \hline 1 & 8 & 7 & & 3 & & & & \\ \hline \end{array} \][/tex]
2. Locate all the blank positions (denoted by empty spaces):
- Row 1: Positions (0,6), (0,7), (0,8)
- Row 2: Positions (1,8)
- Row 3: Positions (2,7), (2,8)
- Row 4: Positions (3,8)
- Row 5: Positions (4,6), (4,7)
- Row 6: Positions (5,6), (5,7), (5,8)
- Row 7: Positions (6,3), (6,5), (6,8)
- Row 8: Positions (7,3), (7,4), (7,5), (7,6), (7,7)
- Row 9: Positions (8,3), (8,5), (8,6), (8,7), (8,8)
3. List the positions of the blanks:
[tex]\[ \begin{array}{c} (0,6), (0,7), (0,8), \\ (1,8), \\ (2,7), (2,8), \\ (3,8), \\ (4,6), (4,7), \\ (5,6), (5,7), (5,8), \\ (6,3), (6,5), (6,8), \\ (7,3), (7,4), (7,5), (7,6), (7,7), \\ (8,3), (8,5), (8,6), (8,7), (8,8) \\ \end{array} \][/tex]
4. Recap of the output:
The Sudoku board is:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline 2 & 1 & 5 & 8 & 9 & 4 & & & \\ \hline 7 & 3 & 4 & 6 & 1 & 2 & 9 & 5 & \\ \hline 9 & 6 & 8 & 7 & 5 & 3 & 4 & & \\ \hline 4 & 9 & 3 & 1 & 6 & 7 & 8 & 2 & \\ \hline 8 & 7 & 1 & 3 & 2 & 5 & & & 4 \\ \hline 5 & 2 & 6 & 9 & 8 & 1 & & & \\ \hline 3 & 7 & 9 & & 4 & & & 7 & 1 \\ \hline 6 & 4 & 2 & & & & & & 9 \\ \hline 1 & 8 & 7 & & 3 & & & & \\ \hline \end{array} \][/tex]
The list of blank positions is:
[tex]\[ \left[ (0, 6), (0, 7), (0, 8), (1, 8), (2, 7), (2, 8), (3, 8), (4, 6), (4, 7), (5, 6), (5, 7), (5, 8), (6, 3), (6, 5), (6, 8), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (8, 3), (8, 5), (8, 6), (8, 7), (8, 8) ] \][/tex]
This complete step-by-step ensures that we identified all the blank positions in the given Sudoku puzzle accurately.
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
