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I need question 1 answered at the bottom. 4.2 An application: Sudokus In the sudoku problem, a partially filled 9 9 grid is to be
I need question 1 answered at the bottom.
4.2 An application: Sudokus In the sudoku problem, a partially filled 9 9 grid is to be completed with numbers in the range [1,2, meeting the following constraints:1 ,9, while each row should have exactly one occurrence of each number each ccurrence of each number A particular instance of the sudoku problem, i.e. a specific, partially completed grid, shall be called a sudok?u column should have exactly one o puzzle, or a sudoku. For example, this sudoku puzzle 5 1 |217| 8 171 1 1 16141 1 34 7 6 8 25| accepts, among many others, the following solution: 5 6 4|9|12|7 8 3 6 3 5|4 2 7 89 1 79 6 8 4| 13 | 5 2 | 3 48|19 5 217 6| 14?1|3|5|619|218| |1|219|516|814|31? This exercise does not ask you to solve the sudoku above, since the solution is given! Instead you are to restate the sudoku problem as an exact cover problem: 1. (10 pts) Describe the structure of the matrix of 0s and 1s that is suitable for solving any sudoku puzzle: what do you represent in the columns? How many of them do you need? What do you represent in the rows? Do all sudoku puzzles ask for the same number of rows? Why? Be specific and precise in your wording; draw a diagram if it adds clarity to yourStep by Step Solution
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