15 sum square puzzle
Each of these 3x3 magic square puzzles is solved by determining the values that make the sums all rows, columns and diagonals equal to the same value. The sum is referred to as the magic constant. For a 3x3 magic square, there is actually only one normal solution and all of the puzzles are derived from rotations or reflections of that puzzle.Numberphile recently had an episode called The SquareSum Puzzle that makes a good exercise: Rearrange the numbers from 1 to 15 so that any two adjacent numbers must sum to a square number. Your task is to write a program to solve the Numberphile squaresum puzzle. 15 sum square puzzle
Another approach is to consider the ways to obtain 15 as a sum of 3 different numbers in the range 1. . 9. These are: 159, 168, 249, 258, 267, 348, 357, 456. As you can see there are only 8 ways, and you need 8 different sums in your square.
Nov 08, 2015 A magic square has every row, column, and diagonal sum to the same number. How many magic squares are there using the numbers 1 to 9? The 15 Puzzle consists of 15 squares numbered from 1 to 15 which are placed in a 4x4 box leaving one position out of the 16 empty. The goal is to reposition the squares from a given arbitrary starting arrangement by sliding them one at a time into the configuration shown above (for some initial arrangements, this rearrangement is possible,15 sum square puzzle Feb 25, 2002 If the size is 33 tiles, the puzzle is called the 8puzzle or 9puzzle, and if 44 tiles, the puzzle is called the 15puzzle or 16puzzle named, respectively, for the number of tiles and the number of spaces. The object of the puzzle is to place the tiles in order by