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400 Easy Jigsaw Sudoku X Puzzles Volume 1
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Book Synopsis 400 Easy Jigsaw Sudoku-X Puzzles Volume 1 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku-X Puzzles Volume 1 written by Christian Demarco and published by . This book was released on 2019-02-15 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require any advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) No Advanced Solving Techniques Required Ideal For Beginners Solutions Included
Book Synopsis 400 Easy Jigsaw Sudoku Puzzles Volume 1 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku Puzzles Volume 1 written by Christian Demarco and published by . This book was released on 2018-11-23 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require advanced solving techniques. Jigsaw Sudoku follows the same rules as a regular Sudoku puzzle with one exception, in Jigsaw Sudoku the 3 x 3 Square boxes are replaced with irregular 9 cell shapes. In my classic Jigsaw Sudoku puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shaped boxes that all contain 9 cells. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column and irregular shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and irregular shape. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) Advanced Solving Techniques Not Required Ideal For Jigsaw Sudoku Beginners Solutions Included
Book Synopsis 400 Medium Jigsaw Sudoku-X Puzzles Volume 1 by : Christian Demarco
Download or read book 400 Medium Jigsaw Sudoku-X Puzzles Volume 1 written by Christian Demarco and published by . This book was released on 2019-02-19 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Medium Sudoku series of books do not require any advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and each shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Medium Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) No Advanced Solving Techniques Required Ideal For Beginners and Intermediate Solvers Solutions Included
Book Synopsis 400 Hard Jigsaw Sudoku-X Puzzles Volume 1 by : Christian Demarco
Download or read book 400 Hard Jigsaw Sudoku-X Puzzles Volume 1 written by Christian Demarco and published by . This book was released on 2019-02-25 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Hard Sudoku series of books require advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and each shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Hard Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) Advanced Solving Techniques Required Ideal For Experienced Solvers Solutions Included
Book Synopsis 400 Easy Jigsaw Sudoku-X Puzzles Volume 5 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku-X Puzzles Volume 5 written by Christian Demarco and published by . This book was released on 2019-02-17 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require any advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) No Advanced Solving Techniques Required Ideal For Beginners Solutions Included
Book Synopsis 400 Easy Jigsaw Sudoku-X Puzzles Volume 3 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku-X Puzzles Volume 3 written by Christian Demarco and published by . This book was released on 2019-02-17 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require any advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) No Advanced Solving Techniques Required Ideal For Beginners Solutions Included
Book Synopsis 400 Medium Jigsaw Sudoku Puzzles Volume 1 by : Christian Demarco
Download or read book 400 Medium Jigsaw Sudoku Puzzles Volume 1 written by Christian Demarco and published by . This book was released on 2018-11-29 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Medium Sudoku series of books do not require advanced solving techniques. Jigsaw Sudoku follows the same rules as a regular Sudoku puzzle with one exception, in Jigsaw Sudoku the 3 x 3 Square boxes are replaced with irregular 9 cell shapes. In my classic Jigsaw Sudoku puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shaped boxes that all contain 9 cells. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column and irregular shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and irregular shape. 400 Medium Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) Advanced Solving Techniques Not Required Ideal For Jigsaw Sudoku Beginners & Intermediate Solvers Solutions Included
Book Synopsis Jigsaw Sudoku 400+ Very Easy Puzzles Volume 1 by : Linda Robson
Download or read book Jigsaw Sudoku 400+ Very Easy Puzzles Volume 1 written by Linda Robson and published by . This book was released on 2017-11 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jigsaw Sudoku puzzles (also known as Irregular and Geometric Sudoku) are very similar to regular Sudoku puzzles, with the only difference between the two being the shape of the 9 cell containers. In Jigsaw Sudoku the containers are irregular 9 cell shapes that make identifying and eliminating possible candidates slightly more difficult than regular Sudoku puzzles. Much like regular Sudoku, the aim of the puzzle is to fill the blank squares with the correct numbers. Each row, column and shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and shape. To help you on your way, some of the cells have already been filled in. * 400+ Very Easy Puzzles* 6 Puzzles Per Page* 8.5 x 11 Inch Layout* Solutions Included* Beginners Guide & Example
Book Synopsis 400 Easy Jigsaw Sudoku-X Puzzles Volume 2 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku-X Puzzles Volume 2 written by Christian Demarco and published by . This book was released on 2019-02-17 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require any advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) No Advanced Solving Techniques Required Ideal For Beginners Solutions Included
Book Synopsis 400 Hard Jigsaw Sudoku Puzzles Volume 1 by : Christian Demarco
Download or read book 400 Hard Jigsaw Sudoku Puzzles Volume 1 written by Christian Demarco and published by . This book was released on 2018-11-30 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Hard Sudoku series of books require advanced solving techniques. Jigsaw Sudoku follows the same rules as a regular Sudoku puzzle with one exception, in Jigsaw Sudoku the 3 x 3 Square boxes are replaced with irregular 9 cell shapes. In my classic Jigsaw Sudoku puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shaped boxes that all contain 9 cells. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column and irregular shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and irregular shape. 400 Hard Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) Advanced Solving Techniques Required Ideal For Experienced Jigsaw Sudoku Solvers Solutions Included
Book Synopsis Jigsaw Sudoku 400+ Easy Puzzles Volume 1 by : Linda Robson
Download or read book Jigsaw Sudoku 400+ Easy Puzzles Volume 1 written by Linda Robson and published by . This book was released on 2017-11 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jigsaw Sudoku puzzles (also known as Irregular and Geometric Sudoku) are very similar to regular Sudoku puzzles, with the only difference between the two being the shape of the 9 cell containers. In Jigsaw Sudoku the containers are irregular 9 cell shapes that make identifying and eliminating possible candidates slightly more difficult than regular Sudoku puzzles. Much like regular Sudoku, the aim of the puzzle is to fill the blank squares with the correct numbers. Each row, column and shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and shape. To help you on your way, some of the cells have already been filled in. * 400+ Easy Puzzles* 6 Puzzles Per Page* 8.5 x 11 Inch Layout* Solutions Included* Beginners Guide & Example
Book Synopsis 400 Easy Jigsaw Sudoku Puzzles Volume 4 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku Puzzles Volume 4 written by Christian Demarco and published by . This book was released on 2018-11-26 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require advanced solving techniques. Jigsaw Sudoku follows the same rules as a regular Sudoku puzzle with one exception, in Jigsaw Sudoku the 3 x 3 Square boxes are replaced with irregular 9 cell shapes. In my classic Jigsaw Sudoku puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shaped boxes that all contain 9 cells. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column and irregular shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and irregular shape. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) Advanced Solving Techniques Not Required Ideal For Jigsaw Sudoku Beginners Solutions Included
Book Synopsis Jigsaw Sudoku X by : Christian Demarco
Download or read book Jigsaw Sudoku X written by Christian Demarco and published by . This book was released on 2018-10-16 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jigsaw Sudoku, also known as Geometric Sudoku, Nonomino or Irregular Sudoku shares the same rules as a regular Sudoku puzzle, with the only difference being the fact that Jigsaw Sudoku has irregular shaped blocks as opposed to the 3x3 square blocks in a regular Sudoku puzzle. However, in Jigsaw Sudoku X puzzles there is also one more difference that will actually make the puzzle easier to solve, and that is the cross of shaded squares that run from corner to corner. Each shaded diagonal must also contain the numbers 1-9, with only one instance of each number allowed. Your task is to fill each row, column, irregular shape and both shaded diagonal with the numbers 1 - 9, with only one instance of each number allowed in any row, column, irregular shape and shaded diagonal. With only 2 puzzles per page and a 6 x 9 inch layout, the Jigsaw Sudoku Puzzle Book provides a large, clear puzzle area. 200 Easy Jigsaw Sudoku X Puzzles Handy 6 x 9 inch Book Layout Easy to read (2 Puzzles per Page) No Advanced Solving Techniques Required Mystery Bonus Puzzles Ideal For Beginners Solutions Included
Book Synopsis Jigsaw Sudoku X by : Christian Demarco
Download or read book Jigsaw Sudoku X written by Christian Demarco and published by . This book was released on 2018-10-16 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jigsaw Sudoku, also known as Geometric Sudoku, Nonomino or Irregular Sudoku shares the same rules as a regular Sudoku puzzle, with the only difference being the fact that Jigsaw Sudoku has irregular shaped blocks as opposed to the 3x3 square blocks in a regular Sudoku puzzle. However, in Jigsaw Sudoku X puzzles there is also one more difference that will actually make the puzzle easier to solve, and that is the cross of shaded squares that run from corner to corner. Each shaded diagonal must also contain the numbers 1-9, with only one instance of each number allowed. Your task is to fill each row, column, irregular shape and both shaded diagonal with the numbers 1 - 9, with only one instance of each number allowed in any row, column, irregular shape and shaded diagonal. With only 2 puzzles per page and a 6 x 9 inch layout, the Jigsaw Sudoku Puzzle Book provides a large, clear puzzle area. 200 Medium Jigsaw Sudoku X Puzzles Handy 6 x 9 inch Book Layout Easy to read (2 Puzzles per Page) No Advanced Solving Techniques Required Mystery Bonus Puzzles Ideal For Intermediate Puzzle Solvers Solutions Included
Book Synopsis 400 Easy Jigsaw Sudoku Puzzles Volume 5 by : Christian Demarco
Download or read book 400 Easy Jigsaw Sudoku Puzzles Volume 5 written by Christian Demarco and published by . This book was released on 2018-11-26 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Easy Sudoku series of books do not require advanced solving techniques. Jigsaw Sudoku follows the same rules as a regular Sudoku puzzle with one exception, in Jigsaw Sudoku the 3 x 3 Square boxes are replaced with irregular 9 cell shapes. In my classic Jigsaw Sudoku puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shaped boxes that all contain 9 cells. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column and irregular shape must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column and irregular shape. 400 Easy Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) Advanced Solving Techniques Not Required Ideal For Jigsaw Sudoku Beginners Solutions Included
Book Synopsis Jigsaw Sudoku: Volume 1 by : Puzzlemadness
Download or read book Jigsaw Sudoku: Volume 1 written by Puzzlemadness and published by Createspace Independent Publishing Platform. This book was released on 2017-05-06 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bored of standard Sudoku? This book is the new challenge you are looking for! 400 Jigsaw Sudoku puzzles from the popular PuzzleMadness website. Containing 400 graded Jigsaw Sudoku puzzles there is something for everyone! Printed on high-quality paper that will easily withstand the constant erasing and re-writing that a Sudoku puzzle requires. The 400 puzzles are broken down as... 100 easy puzzles. Perfect if you've never played Jigsaw Sudoku before! 100 medium puzzles. A little more challenge. 100 hard puzzles. 100 tough puzzles. Perfect for those who are experienced Jigsaw Sudoku puzzlers looking for extra challenge. Every puzzle has a unique solution and can be solved by logic alone - no guessing required. Full answers are given in the book. Jigsaw Sudoku is very similar to standard Sudoku, but instead of all the regions being 3�3 squares, they are instead irregular 'jigsaw' shapes.
Book Synopsis 400 Medium Jigsaw Sudoku-X Puzzles Volume 4 by : Christian Demarco
Download or read book 400 Medium Jigsaw Sudoku-X Puzzles Volume 4 written by Christian Demarco and published by . This book was released on 2019-02-20 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a book size of 8.5 x 8.5 inches and only 4 puzzles per page, the 400 Jigsaw Sudoku-X Puzzles series is not intended for carrying in a Pocket or Handbag. The main purpose of the extra-large book size is to provide the solver with large, clear and easy to read puzzles. The Jigsaw Sudoku Puzzles in the Medium Sudoku series of books do not require any advanced solving techniques. In my classic Jigsaw Sudoku-x puzzles, the grid is 9 cells wide and 9 cells deep. The lines of squares running horizontally are called rows, and the lines running vertically are called columns. The grid is further divided by thicker lines into irregular shapes that all contain 9 cells. However, in Jigsaw Sudoku-X puzzles there is one other element that can be used to determine the correct numbers, and that is the two diagonal lines of shaded squares that run from corner to corner. The aim of the puzzle is to fill the blank cells with the correct numbers. Each row, column, irregular shape and each shaded diagonal must end up containing all of the numbers from 1 to 9. Each number can only appear once in any row, column, irregular shape and shaded diagonal. 400 Medium Jigsaw Sudoku Puzzles Extra-Large 8.5 x 8.5 inch Book Layout Easy to read (4 Puzzles per Page) No Advanced Solving Techniques Required Ideal For Beginners and Intermediate Solvers Solutions Included