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Arrange the numbers from 1 to 25 in a 5x5 grid so that each row, column, and diagonal adds up to the same number. Magic Squares However, Magic Squares can be created that add up to any "Magic Total" you like, provided that you know the right formula. The constant sum in every row, column and diagonal are called the magic constant or magic sum, M.The magic … Magic square solver Square Puzzle Magic On eBay - Huge Selection & Great Price . Magic square 5x5 Quiz - PurposeGames.com magic square Introduction Magic square is an ancient mathematical problem that many people try to solve. Take a business card and write this 4×4 magic square on the back: This magic square adds up to 34. with the downloadable program "mag5x.exe". Here are a few magic square examples. Solving a Doubly Even Magic Square Understand what a doubly even square is. By changing the order of the numbers in these two sets of numbers, 144 distinct squares are possible. 4 x 4 Magic Square Checker - Mark Farrar Feel free to edit this Q&A, review it or improve it! Answer (1 of 3): Magic Squares are not solved. For 7 x 7 the sum is 175. The great 3X3 Magic Square. The constant sum in every row, column and diagonal is called the magic constant or magic sum, M. The magic constant of a normal magic square depends only on n and has the following value: M = n(n^2+1)/2. Matrix is Magic Square Here's the secret to solving any 3 … 7x7 magic square with sum 175 of planet Venus. 3X3 4X4 5X5 6X6 7X7 8X8 9X9 10X10. Solve Magic Squares order 5. Magic (ii)For any choice of 5 different numbers c 01,c 07,c 13,c 19,c 25 from {1,2,...,25} with sum 65 there exists at least one 5x5 Magic Square with this diagonal. Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square . What is the Franklin Square? Franklin's square is a panmagic square with a magic constant of 260. M =n(n2+1)/2 M = n ( n 2 + 1) / 2. Time complexity: O (n^2), where n is the length od row and column. M =n(n2+1)/2 M = n ( n 2 + 1) / 2.For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260, Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square You can create 4X4 magic square for any number without using … M =n(n2+1)/2 M = n ( n 2 + 1) / 2. A magic square is an arrangement of numbers in a square in such a way that the sum of each row, column, and diagonal is one constant number, the so-called "magic constant." I have two questions: (1) There are 275,305,224 valid normal 5x5 magic squares. Solution: The list of numbers from 1 to 9 is 1, 2, 3, 4, 5, 6, 7, 8, 9 See that the sum of numbers in all rows, columns and diagonals is 15. A magic square is usually referred to as a 3 cell, 4 cell, 5 cell, etc., or as a 3x3 array, 4x4 array, 5x5 array, etc. By examining the array, I see that I can exchange the 10 and 7 from the second column with the 11 and 6 in the first: And the result is a 4x4 magic square: To solve a magic square means to fill the empty cells in a way, the sum of numbers along any horizontal, vertical and diagonal lines is the same. For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260, Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square How do you solve missing numbers in magic squares? Magic Square: Construct a 3x3 Magic Square - YouTub . A magic square contains the integers from 1 to n^2. Features: 1. All 5x5 Pan-Magic Squares have a similar underlying structure. ( NOTE: This sum must be n*(n 2 +1)/2). Which is the magic sum of a 5 x 5 magic square? The constant sum in every row, column and diagonal is called the magic constant or magic sum, M. The magic constant of a normal magic square depends only on n and has the following value: M = n(n^2+1)/2. . Looks like it might be difficult, but if you know the secret, you can make and solve any 3 x 3 magic square. 2 7 6 9 5 1 4 3 8 There are three types of magic squares: 1) M is an odd number (1, 3, 5, 7, etc. 2. May be you see it in some magazines or your teacher might have introduced it in a class. Add 60 In this case it's 4 x 5 + 60 = 20 + 60 = 80 7x7 Magic Squares A 7x7 square works the same way as a 5x5 square - just fill in the numbers in diagonals as before. If you've worked the puzzles in the previous sections, you're ready for these 5x5 (order 5) magic squares! A magic square is an arrangement of the numbers from 1 to n 2 in an n x n matrix, 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. Page not found. Magic Square Solver - GottfriedVille.net gottfriedville.net In a magic square you have to add 3 numbers again and again. The sum of all rows and columbs are 65, also the diagonals sum is 65. Here it is: Note: This was generated using Loubere rule with normal vector (-2,-1) and jump vector(2,2) then permuting columns 1 and 4. The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant.If the array includes just the positive integers ,,...,, … For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260, ... Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square. Le taux de mortalité est de 1,96%, le taux de guérison est de 0,00% et le taux de personnes encore malade est de 98,04% Pour consulter le détail d'un pays, … Math Math brain teasers require computations to solve. A perfect magic square is a n n square in which each of the entries 1;:::;n2 is used exactly once, and one in which the sum of So I need to reduce the sum of the first diagonal by 1 and increase the sum of the second by 1. A magic square contains the integers from 1 to n 2. DA: 46 PA: 53 MOZ Rank: 95. Enter the Magic Total and the contents of each of the 16 cells of the Magic Square, and click the Calculate button. Easy to start, hard to master. Follow the guidelines below and you should be on your way to completing any magic squares: 3 x 3 Square * … Take A Sneak Peak At The Movies Coming Out This Week (8/12) New Movie Trailers We’re Excited About ‘Not Going Quietly:’ Nicholas Bruckman On Using Art For Social Change + 23 + 24 + 25)/5 so it is the magic sum of a 5 × 5 magic square. Can anybody provide a starting point? Magic squares are one of the simplest forms of logic puzzles, and a great introduction to problem solving techniques beyond traditional arithmetic algorithms. Symposia. Subaru's FB20 was a 2.0-litre horizontally-opposed (or 'boxer') four-cylinder petrol engine. The sum of all the numbers of the square is 325, the smallest number sum of 2 squares in three different mode: 1 + 18 2 , 6 2 + 17 2 , 10 2 + 15 2 . Each square is divided into cells, and the rules require that the sum of any row, column or diagonal in the square be the same. 3 Ways to Solve a Magic Square - wikiHow A popular mathematical stunt is to create a “magic square”. Then, using the 3 given numbers, we can derive the others. The program will then: indicate whether this is a "perfect" Magic Square (i.e. The numbers are usually (but not always) the first N 2 positive integers. For a start, you should understand what is so peculiar about magic squares. You can always work out what the lines of a 5x5 square like this will add up to: Take the lowest number and multiply by 5. Magic Square of Order 5x5 is an odd order magic square type and is also a prime number. If we accept negative integers, and using the interesting but obvious remark that n 3 and (–n) 3 are not equal (the rule in a magic square is to use “distinct” integers, and the trick is that they are distinct! …At least, you don’t without negative numbers, but I guess if you run from -9 to 15 instead of 1 to 25 everything will work. I solved this 5×5 magic square game using a time-honored algorithm. Said another way, we have 25 potential numbers to store. Category: Number Games, Fun/Miscellaneous, Arithmetics. Given a magic square with empty cells, your job is to solve the puzzle by … For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260, ... Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square . of the two diagonals add up to 65' '3 Ways to Solve a Magic Square wikiHow May 2nd, 2018 - How to Solve a Magic Square Magic squares have grown in popularity with the advent of mathematics based games like Sudoku A magic square is an arrangement of numbers in a square in such a way that the sum of each row column and' Copy and paste this code into your website. The conditions for the magic square is quite simple: The length of the row and column should be the same for a square matrix. Magic squares solving When you realize how to do puzzles and what rules to follow, the process will be easy. It is also a 2,704,006-gonal number. 3x3 Magic Square of Squares ($1000 prize) The idea is to make a 3x3 magic square (each of the 8 sums - the 3 rows, the 3 columns, and the 2 diagonals - is the same as the others) using 9 unique integer square numbers: I personally am not doing it for the money, but other mathematicians have offered prizes including $1000 and a bottle of. Category: Number Games, Fun/Miscellaneous, Arithmetics. Question 3: Write the number of possible similar magic squares for the numbers from 1 to 9. Royalty-Free Vector. What is the Franklin Square? Enter the length of row of the matrix: 3 Enter the length of column of the matrix: 3 Input the element of matrix: 8 1 6 3 5 7 4 9 2 The matrix is Magic Square. 3 Ways to Solve a Magic Square - wikiHow Magic_Sum = 3 x Middle_Square. In this magic square, the sum of the rows, sum of the columns, and sum of the diagonals have to equal 15, and each number 1-9 can only occur once in the square. Read more There are proven methods in completing magic squares of any sizes. Given a magic square with empty cells, your job is to solve the puzzle by supplying the missing numbers. Jim’s Dog Wash operators provide professional services and advice to ensure we cater for all your dog’s individual needs. In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. In 1983, Debra K. Borkovitz and Frank K.-M. Hwang published in Discrete Mathematics this 6x6 multiplicative magic square: M =n (n2+1)/2 M = n (n 2 + 1) / 2 For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260,.. Comments hidden to avoid spoilers. The simplest magic square is the 1x1 magic square whose only entry is the number 1: If you think about the math, every sum in the magic square is comprised of 4 cells. How to solve a magic square 4x4 with missing numbers. There are five rows and five columns with all together 25 different numbers in every puzzles of this type. It works properly with 3x3, partially filled 4x4, but, in two hours, it can't find a solution for partially filled 5x5. 3 x 3 magic square. There are 25 cells within the grid, and 5 rows. It totals to 38 instead of 34. The 3 numbers above the square moves down in the square and fills the open spaces, The same for the other numbers outside the square, then use left, right and up. This is another “Amazing Mathematical Feat” you can perform for your friends, family, students, or cohorts. Solving 3 x 3 Magic Squares. tell you how to solve any type of magic square, whether odd-numbered, singly even-numbered, or doubly-even numbered. Category: Number Games, Fun/Miscellaneous, Arithmetics. Observe the numbers in the Magic Square. After multiplicative magic squares of orders 3-4-5, and before multiplicative magic squares of orders 8-9 and >=10, here are my results on orders 6-7.. 5x5 magic square only contians the values 1 through 25.A non-normal square does not use minimal numbers in its cells, so the sums of the rows, columns and diagonals may be larger.What is the Order for a Magic Square?The Order for a magic square dimension of the horizontal and vertical axis of the square. This is the smallest sum possible using the numbers 1 to 16 Using above method, we can have 8 possible arrangements for 3 x 3 square with distinct cell numbers from 1 to 9, which can also be obtained from one magic square by rotating numbers … How to solve magic square. No time limit. + 23 + 24 + 25)/5 so it is the magic sum of a 5 × 5 magic square. 4x4 solver. The sum of numbers in any row, column, or diagonal is always one … Derniers chiffres du Coronavirus issus du CSSE 17/12/2021 (vendredi 17 décembre 2021). Mars Magic Square: the magic constant is 65, the second number equal to the sum of 2 squares 1 + 8 2 and 4 2 + 7 2 and product of 5 and 13, two important numbers. Category: Number Games, Fun/Miscellaneous, Arithmetics. Effectively replacing the EJ204 engine, the FB20 engine was a member of Subaru's third generation 'FB' boxer engine family which also included the FB25, FA20D, FA20E and FA20F engines.The FB20 engine first offered in Australia in 2012 Subaru GP/GJ Impreza. Child of destiny ck2. The constant values M M of the sums of the magic squares have a minimum value (for non-zero integer positive values).M =n(n2+1)/2 M = n (n 2 + 1) / 2 For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260,.. a 5x5 square where all rows/columns add up to 65 — the diagonals don't matter). A magic square is an NxN square matrix whose numbers (usually integers) consist of consecutive numbers arranged so that the sum of each row and column, and both long (main) diagonals are equal to the same sum (which is called the magic number or magic constant). ), (CB10) and (CB11) are magic squares of cubes having a null magic sum. This video shows how to construct a 5 x 5 magic square using the basic up-one right-one method. This is a grid, most commonly 3x3 or 4x4, filled with numbers. For example, a magic square of order 3 contains all the numbers from 1 to 9, and a square of order 4 contains the numbers 1 to 16. 2nd approach There are five rows and five columns with all together 25 different numbers in every puzzles of this type. Each number should only be used once. an ODD Integer greater than one). A Magic Square is an arrangement of numbers in a square grid, where the numbers in each row, and in each column, and the numbers in the diagonals, all add up to the same number. Thus, a cell containing CBAC would be assigned a numerical value of 54 + 9 + 0 + 2 = 65. This can be verified with a computer experiment, e.g. 5 x 5 Magic Squares * Enter the numbers 1-25 onto the blue squares such that the total of 5 numbers across vertically, horizontally or diagonally equals 65. imum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260, Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square 7x7 magic square of order 7 of astrological planet Venus with magic constant 175. This reveals the underlying structure of a 5x5 Magic Square. The number 15 is called the magic number of the 3x3 square. I want to be able to generate an N-by-N Magic Square of N² numbers where each row and column adds up to N(N²+1)/2 (e.g. . Then each opposite pair sums to twice the middle number, and the opposite pairs all consist of two numbers of the same parity, equidistant from the middle number. Therefore the average sum of three numbers is 45:3=15. For a magic square of order n, the magic sum is (n) = 1 n ∑n2 k=1 k which turns out to be (n) = n3 +n 2: Here is the beginning of a table of values of the magic sum. The later puzzles in this section are non-normal magic squares, so the sums for those … 3 Ways to Solve a Magic Square - wikiHow Good luck. imum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260, Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square Magic square solver Square Puzzle Magic On eBay - Huge Selection & Great Price . There are five rows and five columns with all together 25 different numbers in every puzzles of this type. Notice that 11, 12, 13, 14, and 15 are on a diagonal. Any lower sum will force the use of either negative numbers or fractions (not whole numbers) to solve the magic square. Magic square solver. The simplest magic square is the 1x1 magic square whose only entry is the number 1. Magic Square Matrix . Here is a magic square created using the integers from 2 through 17 instead of 1 through 16. In a typical magic square, you start with 1 and then go through the whole numbers one by one. One pattern represents the large numbers and the other the small ones. Start with a fairly basic example. The constant values M M of the sums of the magic squares have a minimum value (for non-zero integer positive values).M =n(n2+1)/2 M = n (n 2 + 1) / 2 For a size 3x3, the minimum constant is 15, for 4x4 it is 34, for 5x5 it is 65, 6x6 it is 111, then 175, 260,.. 25 Bytes for 275,305,224 combinations is 6,882,630,600 Bytes or 6.4 GB. A singly even … . The 4 x 4 Magic Square to the left is the "basic" 4 x 4 Magic Square. For example, 14 X 4 X 20 A magic square contains the integers from 1 to n 2. 4x4 solver We use many processing centers in different cities and countries, which ensures a huge selection of numbers for SMS activation provided to you as well as uninterrupted operation of the site. A magic square is a NxN array of numbers from 1 to N 2 such that the sum of elements of each row, column and diagonal adds up to the same number, 65 in the case of 5x5's. A magic square of order n is an arrangement of n^2 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. The four valves per cylinder – two intake and two exhaust – were actuated by roller rocker arms which had built-in needle bearings that reduced the friction that occurred between the camshafts and the roller rocker arms. So, in that spirit, I have decided to create a normal 5x5 magic square (s=65) with the number 2019 in the middle of the bottom row. Sum = 15. An example would be: 15 19 4 7 20 6 14 24 16 5 9 21 1 22 12 10 3 23 18 11 25 8 13 2 17 There are a number of theorems one can prove about incomplete 5x5 squares. You can also achieve 15, if you add the middle number 5 three times. One of the possible solutions. 1st approach The simplest approach is to use 1 Byte per cell. Consider first a 3x3 magic square which we represent by the square matrix- G H I D E F A B C Each square is divided into cells, and the rules require that the sum of any row, column or diagonal in the square be the same. Au niveau mondial le nombre total de cas est de 272 911 101, le nombre de guérisons est de 0, le nombre de décès est de 5 336 255. How to solve 4x4 magic squares with missing numbers. For example, a 3 by 3 magic square has three rows and three columns, so its order is 3. The missing number in 5th row = 65 – (23 + 6 + 19 + 15) = 2 So, the 5 x 5 magic square puzzle is follows. 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Where the sum of each row, column and diagonal should be the same magic constant ) so. With all together 25 different numbers in every puzzles of this type given ones 3x3 or 4x4, with! Do n't matter ) > magic square of a 5x5 square where the sum of a x!, 5, 13, 65 therefore the average sum of a 5 × 5 magic square when the of..., and click the Calculate button given ones 17 instead of 1 through 16 a diagonal: PA.: //www.generacodice.com/en/articolo/905513/Come-creare-un-quadrato-magico-in-PHP '' > magic square < /a > Symposia: //www.med.upenn.edu/itmat/events/ '' > magic squares < >. Solve magical squares then, using the integers from 2 through 17 of! Number at end of that row or column to n 2 +1 /2! It or improve it your friends, family, students, or doubly-even numbered given... ( not whole numbers ) to solve any type of magic square solver a, review or! Of 1 through 16 add 3 numbers again and again rotate and/or reflect until! Column, and 15 are on a diagonal not hard to show that sum... Alan S.L might have introduced it in some magazines or your teacher might have introduced it in magazines! Read more < a href= '' https: //study.com/learn/lesson/magic-square-history-examples.html '' > Events | Institute for translational Medicine...! This can be verified with a computer experiment, e.g puzzles Web designed... Constant of 260 of that row or column are possible solved this 5×5 magic square - YouTub the simplest is... The main square fill the next number at end of that row or column the contents each... A href= '' http: //www.halexandria.org/dward090.htm '' > magic square created using the integers from 1 to 9 other small. > the magic sum of a 5 × 5 magic square - YouTub can be with! 65 = ( 1 + 2 + 1 ) / 2 ] magic Total magic square 5x5 sum 65 solver the other the small.! Tell you How to solve any type of magic square contains the from... In the middle number 5 three times Write this 4×4 magic square ” and. The rule: enter 1 in the middle number 5 three times this can verified. Sum will force the use of either negative numbers or fractions ( not whole )... A composite number simplest is the length od row and column or larger is an unsolved mathematical.. — the diagonals do n't matter ) card and Write this 4×4 magic.! = n ( n 2 + 1 ) there are proven methods in completing squares! Add up to 65 have solved the magic 3x3 square solve any type of magic square of different magic -... Engines - australiancar.reviews < /a > 5x5 magic square < /a >.! Add 3 numbers again and again valid normal 5x5 magic square, you should understand what is peculiar. 3 given numbers, we have 25 potential numbers to store squares of cubes having a magic. - Halexandria < /a > the magic number of different magic squares /a!, if you added one to every cell, the magic sum of three numbers is 45:3=15 11 12! Enter the magic square ” any lower sum will force the use of either negative numbers or fractions not... Each of the first row, 5, 13, 14, and click the Calculate.! The missing numbers until you get one where the numbers are usually ( but not always ) first. Then rotate and/or reflect it until you get one where the sum of each row,,! Most commonly 3x3 or 4x4, filled with numbers: //www.freemathhelp.com/forum/threads/magic-squares.48084/ '' > magic squares of any sizes column. 65 is the magic 3x3 square + 23 + 24 + 25 ) /5 so it not! //Www.Freemathhelp.Com/Forum/Threads/Magic-Squares.48084/ '' > magic squares - Halexandria < /a > here are a few magic square - wikiHow popular! /2 m = n ( n 2 can perform for your friends, family,,! The simplest approach is to use 1 Byte per cell add 3 numbers again and again and add! Your given ones all 5x5 Pan-Magic squares have a similar underlying structure of a 5 x 5 magic,! Row, column and diagonal totals 65 this article will tell you How to solve square... × 5 magic square enter the magic sum of a 5 × 5 square... Few magic square < /a > Symposia feel free to edit this Q & a, review it or it... Incremented by 1 fractions ( not whole numbers ) to solve the magic square contains the integers 1! Doubly-Even numbered integers from 1 to n^2 Amazing mathematical Feat ” you also... 3X3 - Displaying top 8 worksheets found for this concept ( not whole numbers ) solve!, 12, 13, 14, and diagonal totals 65 a magic square have. Completing magic squares of cubes having a null magic sum of each of the first n 2 integers... Explain something in this game to solve a magic square middle of the magic sum of 5x5. Total 38, because all 4 cells would be incremented by 1 ) /2 m = n n... The large numbers and the other the small ones to store all rows/columns add up to 65 the. And column students, or doubly-even numbered a “ magic square, you should understand what so! Be n [ ( n2 + 1 ) there are proven methods completing! Using the 3 given numbers, 144 distinct squares are possible is a magic square, and 5 rows card... ( 1 + 2 + 1 ) / 2, 13, 14, and 15 are on diagonal... By supplying the missing numbers gives the same magic constant, we have 25 numbers... Of astrological planet Venus with magic constant is called the magic Total and the contents of each of the sum! We have 25 potential numbers to store and diagonal totals 65 are rows. + 23 + 24 + 25 ) /5 so it is not hard show! 2 + 3 + have a similar underlying structure of a 5 x 5 magic solver. Right corner ( small arrow line through the corner will help ) you can also achieve 15, you... - australiancar.reviews < /a > the magic sum and abroad to address topics of direct relevance to translational.. Peculiar about magic squares of any sizes square you have 1+2+3+4+5+6+7+8+9=45 question:. Magic 3x3 square top you have 1+2+3+4+5+6+7+8+9=45 ( but not always ) the first row, if you add middle. Valid normal 5x5 magic square magic square 5x5 sum 65 solver you should understand what is so peculiar magic. Are proven methods in completing magic squares to store is also a prime number squares - Halexandria < /a the! Durer Inspired magic square examples your teacher might have introduced it in a typical magic square, is defined.... All 4 cells would be incremented by 1 type and is also prime. ) /2 m = n ( n 2 +1 ) /2 ) add up to 65 — the do. That 11, 12, 13, 65, e.g a `` ''... On the back: this magic square of order 5x5 is an unsolved mathematical problem are a few square. Or doubly-even numbered fractions ( not whole numbers one by one, the magic square < /a >.! /2 ) square 3x3 - Displaying top 8 worksheets found for this concept use 1 Byte per cell it! Can also achieve 15, if you add the middle of the rows, columns, 5. > here are a few magic square < /a > Symposia of possible similar magic squares of cubes a... 25 different numbers in these two sets of numbers horizontally, vertically and gives! At end of that row or column - Displaying top 8 worksheets found for this concept + 1 /. You get one where the sum of a 5 × 5 magic square, and click the Calculate button 3x3... Sum must be n * ( n 2 positive integers - wikiHow a popular mathematical is! With 1 and then go through the corner will help ) + 24 + 25 ) /5 it... And five columns with all together 25 different numbers in these two of. Experiment, e.g: 1, 5, 13, 14, 5. Right corner ( small arrow line through the whole numbers ) to solve magic.... ( i.e add 3 numbers again and again: indicate whether this is another “ Amazing mathematical Feat you! Defined by and/or reflect it until you get one where the sum magic square 5x5 sum 65 solver.

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