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What is the difference between sudoku and magic square?
Sudoku is more properly considered a type of Latin Square . A magic square is where the row, column and main diagonals all add up to the same number. In Sudoku, only the row and column adds up to the same amount. You fill the boxes each so the square, column and row all have the numbers 1-9.
What is the logic behind magic square?
A magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A magic square contains the integers from 1 to n2.
What is a magic square in sudoku?
A magic square is a square grid filled with numbers, in such a way that each row, each column, and the two diagonals add up to the same number. It has three rows and three columns, and if you add up the numbers in any row, column or diagonal, you always get 15.
What is a magic square trick?
In the magic square trick, an audience names any two digit number between 22 and 99 and after you fill in the 16 boxes there will be 28 possible combinations where the boxes will add up to the given number. Only the four numbers A, B, C, D are dependent on the number given by the audience.
How is math used in Sudoku?
In fact, mathematical thinking in the form of logical deduction is very useful in solving Sudokus. The most basic strategy to solve a Sudoku puzzle is to first write down, in each empty cell, all possible entries that will not contradict the One Rule with respect to the given cells.
Is Sudoku magic square?
1 (Anyone finishing a newspaper sudoku puzzle will have produced a sudoku solution of order nine, with slightly different symbols.) A sudoku solution of order n2 becomes a magic sudoku solution if each n × n subsquare is a magic square of order n: each row, column, and diagonal of the square adds to the same number.
Why do you need a backtracking algorithm for magic square?
The purpose of this Python challenge is to demonstrate the use of a backtracking algorithm to solve a Magic Square puzzle. Did You Know?
How is a 3×3 magic square calculated?
A 3×3 magic square is an arrangement of the numbers from 1 to 9 in a 3 by 3 grid, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same.
Which is the best definition of a magic square?
A magic square is an N x N array of numbers in the range 1, 2., N 2 such that each element of the array contains a unique number (no repetitions) and the sums in each row, column and both of the main diagonals are the same. The following figure, taken from Wikipedia, shows a 3 x 3 magic square where the sums equal 15:
Which is the best way to solve magic squares?
One possible approach to solve magic squares is by generating permutations of the range 1, 2,…, N 2 for an N x N square. The general idea is to generate a permutation, dump it into a square array row-by-row, and test whether the numbers in the array satisfy the row, column, and diagonal sum requirements for the given magic number.