c - 8 queens puzzle: using random numbers causes infinite loop - Stack Overflow. When executing this code, my terminal hangs most of the time, but every once in a while I get the solution I want printed out. I know this is not the best way to solve the queens puzzle, so please Stack Overflow. About Read Part 1, Solving an 8-puzzle problem using A* star search. . Part 2 of this tutorial provides an implementation of the algorithms and the solution using C++ for a console program. Part 3 of this tutorial implements the solution in C# and solves the 8-puzzle problem using Unity. Download the 8 Puzzle Unlimited App from Google Play Admissible Heuristics for the 8-puzzle h4 : Number of tiles out of row + Number of tiles out of column In the given figure, all the tiles are out of position, hence for this state, h4 = 5 (out of row) + 8 (out of column) = 13. h4 is an admissible heuristic, since every tile that is out of column o An 8 puzzle is a simple game consisting of a 3 x 3 grid (containing 9 squares). One of the squares is empty. The object is to move to squares around into different positions and having the numbers displayed in the goal state Puzzle having 9 tiles present in grid of 3X3. These tiles are having random numbers from 1 to 8 and 1 blank 'space'. You need to re-arange them in sorted order from 1 to 8. Important thing you can only swap the digit horizontally or vertically with the blank tile. It generates the random puzzle.
What is 8 puzzle? Given a 3×3 board with 8 tiles (every tile has one number from 1 to 8) and one empty space. The objective is to place the numbers on tiles in order using the empty space. We can slide four adjacent (left, right, above and below) tiles into the empty space. How to find if given state is solvable 8 puzzle is a very interesting problem for software developers around the world. It always has been an important subject in articles, books and become a part of course material in many universities. It is a well known problem especially in the field of Artificial Intelligence. This page is designed to tell you the very basic understanding of the. Write it in a linear way, 1,2,3,4,5,6,8,7 - Ignore the blank tile. Now find the number of inversion, by counting tiles precedes the another tile with lower number. In our case, 1,2,3,4,5,6,7 is having 0 inversions, and 8 is having 1 inversion as it's preceding the number 7. Total number of inversion is 1 (odd number) so the puzzle is insolvable A simple ruby solver implementing DFS, BFS and A* for working out a 8 Number puzzle solution. - GitHub - joseph-mullins/8-Number-puzzle-solver: A simple ruby solver. 9454 C=1 E=4 H=9 M=3 O=0 R=5 S=8 + 894-----10348 Problem 2 Solution NUMBER + NUMBER - -----PUZZLE has 1 solution. 201689 B=6 E=8 L=7 M=1 N=2 P=4 R=9 U=0 Z=3 +201689-----403378 Problem 3 Solution EAT + THAT-----APPLE has 1 solution. 819 A=1 E=8 H=2 L=3 P=0 T=9 +9219-----10038 Problem 4 Solution HES + THE----BEST has 1 solution. 426 B=1 E=2 H=4 S=6 T=
The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens attack each other. Thus, a solution requires that no two queens share the same row, column, or diagonal. In order to use genetic algorithm, it is a must to define the crossover operator, mutation operator, chromosome and genes . Watch later certain number is 0.2. What is the number? 18) How many quarters are there in 25% of 2? 19) Jules, Nadia and Steff saved $50 altogether. Jules saved ¾ as much as Nadia. If Nadia saved $24 which girl saved the least? 21) If Matt weighs 63kg, John 68kg and Bill 58kg which of them weighs exactly 1/3 of their combined weight? 23) Edward and his twin Edwin A+B = 8. C-D = 6. A+C = 13. B+D = 8. Let's solve these four equations and find the variables A, B, C & D! if we add the four equations. A+B+C-D+A+C+B+D = 8 + 6 + 13 + 8. 2(A+B) + 2C = 35. 2C = 35 - 2*8 (by replacing A+B) 2C = 35 - 16 = 19. C = 9.5. from 2nd Equation C - D = 6. D = C - 6. D = 9.5 - 6. D = 3.5. from 3rd equation. A+C = 13. A = 13 - C. A = 13 - 9.5. A = 3.
2021 popular Hot Search, Ranking Keywords trends in Toys & Hobbies, Sports & Entertainment, Watches, Jewelry & Accessories with 8 number puzzle and Hot Search, Ranking Keywords. Discover over 209 of our best selection of Hot Search, Ranking Keywords on AliExpress.com with top-selling Hot Search, Ranking Keywords brands. Shop the top 25 most popular Hot Search, Ranking Keywords at the best prices Deane present a number puzzle which seems impossible - until a simple trick is revealed.SUBSCRIBE NOWhttp://www.youtube.com/subscription_center?add_user=Curi.. Each question contains a number and some initials for a commonly recognized phrase, or an item that has something to do with that number. FIGURE OUT THE PHRASE AND WRITE IT IN THE EMPTY BOX. Some of these are very hard, but the number is your best clue -- think about things that start with those initials that involve that number! EXAMPLE: 16 O. in a P Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times. Report Error The given number puzzle can be soved in two ways. Logic 1 :: Row 1 - 2 x 3 = 6 , 6 x 3 = 18. Row 2 - 4 x 5 = 20 , 20 x 5 = 100. Row 3 - 3 x 7 = 21 , 21 x 7 = 147 . Hence, the missing number could be 3. Logic 2 :: Row 1 - 6 x (2+1) = 18. Row 2 - 20 x (4+1) = 100. Row 3 - 21 x (6+1) = 147 . Hence, the missing number could be 6. Therefore, 3 or 6 is the right answer
Types of Number Puzzles. There are different types of number puzzles to solve with mathematical operations. They are as follows: Cross Number Puzzle A cross number puzzle is the same as a crossword puzzle whereas it holds the numeric digits. The cells you select make the maximum size of numbers that will go into a grid The 8 is an addictive math puzzle game where your goal is to pick the option that will turn the given number into number 8 before the time runs out. Features: - Train your brain by answering endless progressively more difficult math questions - Use powerups to help with the hardest puzzles - Unlock all 15 background themes with more to come - Complete daily challenges to earn tokens that you. 8 Puzzle using DFS . Home. Programming Forum . Software Development Forum . Discussion / Question . bhagyesh_1 0 Newbie Poster . 6 Years Ago. Hello Friends, i am having a hard time coding for 8 Puzzle using DFS (depth first search). my code uses linked list but apparently its not ok. so can any1 please help me by sending.
. And you check your uniq array and see that uniq is already a 1, meaning that the number 4 has already been used. You do NOT go get another random number! You move up in the uniq array (or down if you prefer), until you find the next 0 value in the uniq array, and assign that number, to your puzzle square Here they come - BrainDen Top 10 Puzzles. Enjoy! 1. Weighing in a Harder Way. You've got 27 coins, each of them is 10g, except for 1. The 1 different coin is 9g or 11g (heavier, or lighter by 1g). You should use balance scale that compares what's in the two pans. You can get the answer by just comparing groups of coins a number puzzle in which the numbers 1 through 9 must be placed into a grid of cells so that each row or column contains only one of each number ; Thanks for visiting The Crossword Solver. We've listed any clues from our database that match your search. There will also be a list of synonyms for your answer Number Puzzles (Saturday, August 14) Aug 17, 2021 8:43 am ET. Crossword. Cleared for Takeoff (Tuesday Crossword, August 17) Aug 16, 2021 8:01 pm ET. Crossword. On the Periphery (Monday Crossword.
Discovery Education's Puzzlemaker provides teachers, students, and parents, the tools necessary to create crossword, puzzles, word search puzzles, mazes and more online! Home Word Search Criss-Cross Double Puzzles Fallen Phrases Math Squares Mazes Letter Number Blocks Puzzle . In the above puzzle, sum of corner numbers and sum of middle numbers is equal to 34. 10 + 9 + 8 + 7 = 34 ; 15 + 5 + 6 + 8 = 34 ;.
All puzzles ©2005-2021 KrazyDad.com. Feel free to reproduce the puzzles for personal, church, school, hospital or institutional use. Please do not use my puzzles in for-profit publications without my permission. If you need free puzzles for your small circulation newspaper, or you would like to purchase puzzles for a book, periodical, app or website, contact me at firstname.lastname@example.org So, add the first number to the product of the two numbers to get the answer. a + b means a + ab. This works for the known equations. 1 + 4 means 1 + 1(4) = 5. 2 + 5 means 2 + 2(5) = 12. 3 + 6 means 3 + 3(6) = 21. Applying the pattern to the last equation gives the answer of 96. 8 + 11 means 8 + 8(11) = 9
Easily create beautiful interactive video lessons for your students you can integrate right into your LMS. Track students' progress with hassle-free analytics as you flip your classroom The 8-puzzle problem is a puzzle invented and popularized by Noyes Palmer Chapman in the 1870s. It is played on a 3-by-3 grid with 8 square blocks labeled 1 through 8 and a blank square. Your goal is to rearrange the blocks so that they are in order. You are permitted to slide blocks horizontally or vertically into the blank square The numbers measure how many unbroken lines of filled-in squares there are in any given row or column. For example, a clue of 4 8 3 would mean there are sets of four, eight, and three filled squares, in that order, with at least one blank square between successive groups. These puzzles are often black and white but can also have some colors Numbers and Initials Puzzles! INSTRUCTIONS: Each question contains a number and some initials for a commonly recognized phrase, or an item that has something to do with that number. FIGURE OUT THE PHRASE AND WRITE IT IN THE EMPTY BOX Nonograms is a logic puzzle with simple rules and challenging solutions.. The rules are simple. You have a grid of squares, which must be either filled in black or marked with X. Beside each row of the grid are listed the lengths of the runs of black squares on that row. Above each column are listed the lengths of the runs of black squares in that column
#2: even numbers We can use the step parameter with the range function to produce the list of even numbers. If you are 14 years old, the start param-eter will be 2, and the end parameter will be 16 (because the for loop will run until the value just before the end parameter). >>> for x in range(2, 16, 2): print(x) 2 4 6 8 10 12 1 .,7 times the first number of C., 6, that is 12. So, 8+11 9+12 12×8=96. David Suthers says: 30 August 2016 at 1:08. Dan - Here is my reasoning behind using base 3 for the decreasing bases answer
Some more straightforward number puzzles do require calculations to find the 8. The number formed by the two first digits is always doubled. 12, 24, 48, 96, 192 on the top card and. Jun 6, 2021 - Explore Asfiya Ali's board Number puzzles on Pinterest. See more ideas about preschool learning activities, preschool learning, preschool activities Optimal 8/15-Puzzle Solver. The 8-puzzle is a classic problem in AI that can be solved with the A* algorithm. A* maintains two lists, called open and closed.; At the beginning of the algorithm, the initial node is placed on the open list. The list is sorted according to an admissible heuristic that measures how close the state of the node is to the goal state About Sudoku. Sudoku is a logic-based, combinatorial number-placement puzzle. The objective is to fill a 9x9 grid with digits so that each column, each row, and each of the nine 3x3 subgrids that compose the grid (also called boxes, blocks, or regions) contains all of the digits from 1 to 9.If you are looking for Free Printable Sudoku Puzzles then visit this site Complex Deduction. This is definitely one of the harder number puzzles on this site. A teacher says: I'm thinking of two natural numbers greater than 1. Try to guess what they are. The first student knows their product and the other one knows their sum. First: I do not know the sum
a. Puzzles shaped to resemble a flower, animal, etc., are squared off and the shape is described in a transcriber's note. b. Assign column letters (a-z) across the top of the puzzle grid (omit the grade 1 indicator) and number each row in the puzzle grid. c. Represent each square to be filled in by a hyphen. d Digipuzzle.net has 750+ free games and puzzles that can be used for education. Kids can practice many K-12 subjects like math, english, science, geography and history. Furthermore there are many thematic games and puzzles to celebrate the holiday
• Shuffle the numbers. Solve the puzzle. Always a unique game! • Master the 8 Modes: 3X3, 4X4, 5X5, 6X6, 7X7, 8X8, 9X9, 10X10 • Play many hours of number puzzles and workout your brain! • Dominate on multiple Leaderboards! • Share your results with Family & Friends on Facebook, Twitter, or Sina . Let us start our practice on the Puzzle Test Practice Questions. Puzzle Test Practice Questions. This type consists of questions in which certain items belonging to different groups or possessing different qualities are given along with some.
Puzzle Games. Solve puzzles and challenging brain games. Explore all things that test your mental acuity, from jigsaw puzzles to cards, words, logic and math. Browse the complete collection of free puzzle games and find your next challenge! Mergest Kingdom. Big Tall Small. Mahjong Classic. Cut the Rope. Wheely 8 for c in Cols: prob += lpSum([choices[v][r][c] for v in Values]) == 1, Constraint 2: Each row must have all values from 1 to 9 and no number can be present more than once. For this case, we can keep the value and row constant while varying the col from 1 to 9. For Example, we want to check the number 1 is present only once in the first ro Name Date SALLY'S HEXAGON NUMBER PUZZLE 5A Each hexagon is made by adding up the numbers in the two hexagons below it. Fill in the missing numbers in these puzzles. 8 -5 -2 6 3 5 4 -3 -2 4 - -5 -12 -20 4 -10 Can you find 3 different solutions for the last example Classic Wooden Sudoku is a logic-based number place game. All you need to do is to place the number 1 to 9 into the grid cells, to make them appear only once in each column, row and grid. Play our Sudoku puzzle game, tease your brain and sharpen your mind, also learn Sudoku solving techniques. -Four difficulty levels allows you to experience. Printable Crossword Puzzles for Kids. Our collection of free printable crossword puzzles for kids is an easy and fun way for children and students of all ages to become familiar with a subject or just to enjoy themselves. If you get stumped on any of them, not to worry, of course we will give you the answers
A fun puzzle game will improve your problem solving skills! Finding the missing puzzle piece in hidden objects? Want to learn how to solve challenging puzzles or how to proceed in a classic puzzle game? Or a logic puzzle that will test your math skills like sudoku number puzzles? There is something here on GameTop for every puzzle player
8 Clever Moves When You Have $1,000 In The Bank Ad FinanceBuzz.com . The Best Plant-Based Restaurant in Every State Eat This, Not That! 10 Low-Sodium Snacks RDs Always Recommend for Healthy Mid. PLAYING WITH NUMBERS 251 TRY THESE TRY THESE Check what the result would have been if Sundaram had chosen the numbers shown below . 1. 27 2. 39 3. 64 4. 17 Now, let us see if we can explain Minakshi' s trick. Suppose Sundaram chooses the number ab, which is a short form for the 2-digit number 10 a + b.On reversing the digits, he gets the number ba = 10 b + a c) 8 d) n &Answer: d Explanation: The extended version given by Franz Nauck of the Eight Queen Puzzle was for n queens on n*n square chessboard. Earlier the puzzle was proposed with 8 queens on 8*8 board. Who was the first person to find the solution of Eight Queen Puzzle using determinant? a) Max Bezzel b) Frank Nauck c) Gunther d) Friedrich. 3: С помощью X2 Blocks - Merge Numbers 2048 на компьютере. После установки откройте приложение эмулятора и введите X2 Blocks - Merge Numbers 2048 в строке поиска. Теперь нажмите Поиск
The 8 number puzzle is a simple game which consists of eigth sliding tiles, numbered by digits from 1 to 8, placed in a 3x3 squared board of nine cells. One of the cells is always empty, and any adjacent (horizontally and vertically) tile can be moved into the empty cell. The objective of configuration and end up in a configuration which the tiles are placed in ascending number order and the. Admissible Heuristics for the 8-puzzle Initial State Final State h1 : Number of misplaced tiles In the above figure, all the tiles are out of position, hence for this state, h1 = 8. h1 is an admissible heuristic, since it is clear that every tile that i
Numbers 7 And 8 Puzzle Game For Kids Printable Number Matching Puzzles Puzzle Games For Kids Number Puzzle Games Puzzles For Kids. 8 Puzzle Game By Angular Expo. 15 Puzzle Wikipedia. 8 Puzzle Problem Algorithm C Source Code Download. Home 8 Puzzle Game. Related Posts Number Formation Puzzles: Pieces of 8 Puzzles: Chess-Num Puzzles: Square Dot Puzzles: Mazes: Magic Shape Puzzles: Corner Mazes: Straight Mazes: Number Puzzles: Restaurant Sign Puzzles: Unequal C-Note Puzzles: Red Point Puzzles: Logic Puzzles: My NPR Puzzles: My MathPuzzle.com Puzzles: My Macalester Puzzles: My Holiday Puzzles: My. Dear visitor, Thanks for your interest in C programming. In this page, you will find a list of interesting C programming questions/puzzles, These programs listed are the ones which I have received as e-mail forwards from my friends, a few I read in some books, a few from the internet, and a few from my coding experiences in C These free printable number puzzles for kindergarten are a fun way for children to work on number sense as they count to 20. Simply download pdf file and print number puzzles 1-20 to match tally marks, ten frame, number words, and numerals. This free math activity is such a fun way to help kids from preschool, pre-k, kindergartners, and first grade students learn number recognition of the. Number-to-Letter Conversion. Numbers between 1 and 26 often represent their corresponding letters of the alphabet, where 1=A, 2=B, and so on through 26=Z. For instance, if a puzzle solved to the list of values 3, 15, 18, 18, 5, 3, 20, you would translate that into the final answer CORRECT. Indexin
The answers for 'eye test how many 3s' puzzle ranges from 15 to 21. At first glance, most people only notice 15 threes in the image. First, you might notice that there are two threes on the number pad, as the number eight has also been replaced by a three. Then there are eight threes in the phone number Great news!!!You're in the right place for 8 number puzzle. By now you already know that, whatever you are looking for, you're sure to find it on AliExpress. We literally have thousands of great products in all product categories Sliding Puzzle | 8- 15-Puzzle. Choose a picture: 8 Puzzle (3x3) 15 Puzzle (4x4) 24 Puzzle (5x5) Ferrari Rim Flower Leopard Tropical Fruits Winter Morning Woman on Piano. Slide Puzzle Shop Season 8 is the eighth season of Numberblocks, and the second season to premiere in 2021. It is the latter half of Series 5. 1 Episodes 2 Episode Select 3 Trivia/Speculations 4 Gallery S8E1: Now in 3D - Octonaughty returns with a whole new dimension of naughtiness. S8E2: Club Picnic - There are so many clubs for Numberblocks to belong to! S8E3: Too Many Threes - Three's attempts to hide in the. The 8 number puzzle is a simple game which consists of eigth sliding tiles, numbered by digits from 1 to 8, placed in a 3x3 squared board of nine cell
The 8-puzzle is a smaller version of the slightly better known 15-puzzle. The puzzle consists of an area divided into a grid, 3 by 3 for the 8-puzzle, 4 by 4 for the 15-puzzle. On each grid square is a tile, expect for one square which remains empty. Thus, there are eight tiles in the 8-puzzle and 15 tiles in the 15-puzzle Number puzzles have specific set of rules, you first has to figure out the pattern being followed and then answer the puzzle according to the pattern. Number Puzzles - PuzzlersWorld.com If we put numeral 1 in front of the number, we get a number three times smaller, than if we put the numeral 1 behind this number Write the numbers and the answer. Pick a different pair of numbers. Write the numbers and the answer. Keep doing it. How many different answers can you get? 2. Now take one number from the other. How many different answers can you get now? Solve mathematical problems or puzzles. 3 Know addition and subtraction facts up to 10. 1 4 2 8 Skyscrapers also known as Towers is a logic puzzle with simple rules and challenging solutions.. The rules are simple. The objective is to place skyscrapers in all cells on the grid according to the rules: - The height of the skyscrapers is from 1 to the size of the grid i.e. 1 to 4 for a 4x4 puzzle. - You cannot have two skyscrapers with the same height on the same row or column
8 and 15 Puzzles | Algorithms and Data Structures | University of Waterloo. The ( N2 − 1)-puzzle is a collection of N2 − 1 movable tiles number 1 through N2 − 1 together with one blank arranged in an N × N square. Figure 1 shows an eight-puzzle. Figure 1. An eight-puzzle 100 Reasoning Puzzle Questions PDF Oliveboard Free Ebook (vii) Chetan was wearing yellow coloured t-shirt while Tarun was not wearing red coloured t-shirt ----- Q14. What is the colour of Tarun's t-shirt? A) Blue B) Black C) Green D) Red E) Cannot be determined ===== Q15. Who. 4,688 Followers, 5,580 Following, 83 Posts - See Instagram photos and videos from Math Number Puzzles (@maths.number.puzzles NUMBER EQUATION RIDDLES Number equation riddles rely on your ability to equate a number to a familiar or common phrase that contains that number, they're a lot of fun. All of the equation puzzle riddles come with the equation puzzle answers and are comprised of initials that you must replace with words that will make them correct
But we just excluded 7, 8, and 9, so we also must exclude 6 as a digit. If ABC only had digits from 1 to 4, the largest possible sum is 4! + 4! + 4! = 72. But this is not a three digit number. Thus, we must have some digit equal to 5. Since 5! + 5! + 5! = 360 ≠ 555, we can have at most two digits of 5 Home Word Search Criss-Cross Double Puzzles Fallen Phrases Math Squares Mazes Letter Tiles Cryptograms Number Blocks Hidden Message. Puzzlemaker is a puzzle generation tool for teachers, students and parents. Create and print customized word search, criss-cross, math puzzles, and more-using your own word lists Suess Inspired Number Puzzles 1-30. This activity includes numbers from 1-30. The student's objective is to place the cutout number strips (puzzle pieces) in the correct order to create a colorful Seuss inspired picture. Print two copies, one set to cut apart for students to use and one for students to have access to self-check their work Maths Strand Puzzle Title Page Problem Solving Some Real Testers 5-8 Fractions, Decimals & Percentages Fraction Fundamentals 9-12 Roman Numerals The Roman Number System 13-16 Money Money, Money, Money 17-20 Time About Time 21-24 Measurement Weights and Measures 25-28 Mixed A Bit of Everything 29-3
Jan 27, 2019 · 7 min read. In today's article, we are going to solve Sliding Puzzle game with Iterative Deepening A* algorithm. In order to do so, we are going to disentangle this popular logic game and represent it as a Search Problem. By the end of this article, you will be able to implement search algorithms that can solve some of real. Expected Number of boys = C/2 + C/4 + C/8 + C/16 + 2016 at 8:21 pm Puzzle # 2 Take advantage of odds of prisoners with red vs. blue and feedback on whether shot was fired. Prisoners would agree on saying color with highest odds in next sequence. Suppose the odds are based on the next 3 ones This is a game where you must count to number from 0 to 1000. However, if the number has a 6 in it, or is divisible by 6, you don't say the number. Instead, you say Shaggy. Rules: You can't hard-code the numbers. The number only has t
Puzzle #39 Prime Numbers Puzzle #40 Sort Order Section II SQL - More SQL Questions Section III Answers to the Puzzles The answers provided at the end of the document were written in SQL Server 2014 T-SQL. I would be happy to receive corrections, additions, new tricks and techniques, and other suggestions Telegraph Puzzles - Find your favourite puzzles online, from crossword and sudoku to word games, brain teasers and more
13 Bali. 14 Pakistan. 15 India. 16 Iran. 17 Panama. 18 Singapore. Share these cool WhatsApp Puzzles, WhatsApp Quiz, WhatsApp Games and WhatsApp Dare Messages in groups to start a war or choose best among all of the above WhatsApp dare games and send it to your crush, lover or girlfriend Join the numbers and get to the 2048 tile. Remember it is not that much easy. You need to work hard to reach that number 2048. There is no easy solution other than playing it. HOW TO PLAY 2048 GAME: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! Choose from Number Puzzle Pictures stock illustrations from iStock. Find high-quality royalty-free vector images that you won't find anywhere else This code takes 0.15s and 39 calls to solve to solve the Inkala puzzle. The maximum call depth is 10. For Norvig's 95 hard puzzles, the code takes a total of 11.69s, with an average time of 0.12s per puzzle. The average number of calls is 93.0, while the maximum number of calls is 588
KenKen. As in sudoku, all numbers must be used without repetition in each row and column. The difference is that all numbers in each cage must combine, to produce the target number in the top-left. GEMEM Alphabet and Number Puzzle Set Wooden Upper Case Letter Number and Shape Learning Puzzles Board Toy, Ideal of Educational Matching Game for 3 4 5 Years Old Toddlers Boys Girls Set of 3. 4.8 out of 5 stars. 8 Queen Puzzle Review. In chess, there is an 8x8 board in which each player starts with 6 unique pieces, as given in the next figure. The pieces names from right to left are king, queen, bishop, knight, rook, and pawn. There are only 1 king and 1 queen but some pieces appear more than once PuzzleFrame.java Description: (1). To achieve a simple smart puzzle game, designed for digital intelligent puzzles, including the junior and senior two games are played (2). Primary three rows of three, including the number 1- 8, and an activity button, and senior four lines of four