SCHOOL OF MAGIC LOGIC GRID FREE

In any magic square, the first number i.e.

Sum in each row & each column = 7*(7 2+1)/2 = 175ĭid you find any pattern in which the numbers are stored? Sum in each row & each column = 5*(5 2+1)/2 = 65 Sum in each row & each column = 3*(3 2+1)/2 = 15 Before we go further, consider the below examples: Magic Square of size 3 This approach only takes into account odd values of n and doesn’t work for even numbers. In this post, we will discuss how programmatically we can generate a magic square of size n. Set in C++ Standard Template Library (STL)įor normal magic squares of order n = 3, 4, 5.Write a program to print all permutations of a given string.Bell Numbers (Number of ways to Partition a Set).Minimum Fibonacci terms with sum equal to K.Largest palindromic number by permuting digits.Minimum difference between groups of size two.Maximum difference between groups of size two.Maximum in array which is at-least twice of other elements.Find k maximum elements of array in original order.Find an array element such that all elements are divisible by it.Print array elements that are divisible by at-least one other.Subarray with no pair sum divisible by K.Longest subarray with sum divisible by K.Count all sub-arrays having sum divisible by k.Count sub-matrices having sum divisible ‘k’.Check given matrix is magic square or not.ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.This entry was posted in Science by sciencevsmagic.

SCHOOL OF MAGIC LOGIC GRID FREE

If you decide to view source feel free to tell me how I’ve done everything wrong in the comments. This is my first real attempt at programming, so things got pretty messy. It was only recently when had to rent some server space for another project that I decided to put my extra bandwidth to good use, learn some javascript and finally put it in code. Not too long after that I heard about the elementary cellular automata, and saw some similarities. I drew the first one of these with a pencil and some graph paper almost three years ago. I have no idea how many unique rules that would leave. There are 8 8 or 16777216 possible rules, although many of them would be functionally identical (if there are no intersections of a given type, it doesn’t matter what the outputs are) or mirrors of other rules.

This is pretty much just magic.Īs far as I know, the method is original, but I wouldn’t be surprised to hear that someone has found these before. Suddenly a whole bunch of complexity has jumped out of the simple rules and made an orderly structure on a much larger scale. With one more output, a right line coming out of the new left and diagonal type, everything has gone nuts. For this type the outputs are off, so unlike the last step these lines don’t continue infinitely. After one step an intersection of a new type is created, where lines come in from the left and diagonally. I’ve now added a diagonal output to the intersections that have just a line coming in from the left. That one will then make another and so on, so the line now stretches to infinity. However this time, the output of the first intersection has made another of the same type. I’ve now turned on a second output that draws a diagonal line from that same type of intersection.

As a result, the origin’s diagonal line now extends one step to the right. This one draws a line right from every intersection that has a only diagonal line leading to it. I’ve now turned on one output, you can see it in the second diagram in the controls. All outputs are off, so the only lines are those of the origin. This is the blank grid after pressing reset.

Intersections are only assigned a type after the lines above and to the left have been drawn, so outputs of one row change the types of the next, cascading to infinity.

The top left corner is an origin where all three lines are on by default.

Each type has its own rules about which output lines to draw below, to the right and diagonally to the lower right.

This makes eight possible types, each represented by a diagram in the controls.

Each intersection is assigned a type based on the input lines coming in from above, the left, and the diagonal upper left.

It’s basically a maths toy for knitting shapes out of logical rules.

School of magic logic grid