Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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 time. Please revisit us for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.