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哥哥啪 Cross+A :: 数独 (Sudoku)


发布日期:2024-09-27 23:33    点击次数:165

哥哥啪 Cross+A :: 数独 (Sudoku)

哥哥啪

Sudoku (数独,"Number Place")是一种数字迷题。典型的数独盘面是个九宫格,每一宫又分为九个小格(9×9),全盘面齐包括81个小格,其中有的小格罕有字(1至9)。给出的已知数越少,数独谜题越复杂。数独谜题独一的法例是数独每行,每列及每宫填入数字1-9且不可重复。

Sudoku

Cross+A can solve and create many kinds of sudokus.

X 数独(Sudoku X) 菱形斑纹数独(Argyle Sudoku) Jigsaw Sudoku Godoku 星号数独(Asterisk) 轮转烟花(Girandola) 中心点(Center Dot) 窗口数独(Windoku) 偏移数独(Sudoku-DG) 无马数独(Anti-Knight Sudoku) 无王数独(Anti-King Sudoku) 反对角线(Anti Diagonal Sudoku) 杀手数独(Killer Sudoku) 大少许独(Greater Than Sudoku) 奇偶数独(Even-Odd Sudoku) 贯穿数独(Consecutive Sudoku) 不贯穿数独(Non-Consecutive Sudoku) 倍辱骂点数独(Kropki Sudoku) 铅笔数独(Sukaku) 链条数独(Chain Sudoku) 边框数独(Frame Sudoku) 摩天楼数独(Skyscraper Sudoku) 脚架数独(Tripod Sudoku) 扫雷数独(Sudoku Mine) 斜撑数独(Sujiken) XV 数独(Sudoku XV) 外围数独(Outside Sudoku) 升降序数独(Rossini Sudoku) 小杀手数独(Little Killer Sudoku) 独一小杀手数独(Little Unique Killer Sudoku) 伏独(Vudoku) 明治数独(Sandwich Sudoku) 4 x 4 ... 16 x 16 武士数独(Samurai Sudoku) 花朵数独(Flower Sudoku) 僧兵数独(Sohei Sudoku) 风车数独(Kazaguruma) 蝴蝶数独(Butterfly Sudoku) 十字数独(Cross Sudoku) 合体三(Gattai-3) 双重迭数独(Twodoku) 三重迭数独(Triple Doku) 双对应数独(Twin Corresponding Sudoku) 星(Hoshi) 星形数独(Star Sudoku) 角数独(Tridoku)

In some sudokus main diagonals also contain the digits 1 through 9. This variant is called Sudoku X ("Diagonal Sudoku"). Use the check box Diagonals for such sudokus.

Sudoku X

Argyle Sudoku contains additional diagonals; every marked diagonal line contains each digit not more than once. The argyle pattern is derived from the tartan of Clan Campbell, in eastern Scotland.

Argyle Sudoku

Also the puzzle may contain the regions of random (irregular) shape; this variant is called Jigsaw Sudoku ("Geometry Sudoku", "Geometry Number Place", "Irregular Sudoku", "Kikagaku Nanpure").

Jigsaw Sudoku

Godoku (also known as "Wordoku", "Alphabet Sudoku") is similar to sudoku, but uses letters instead of numbers. Once the grid is complete, the hidden word may be revealed.

Godoku

In Asterisk Sudoku there is an additional area, shown on the grid by shading nine specially selected cells. Those nine cells must also contain 1 to 9.

Asterisk Sudoku

Girandola is an ordinary sudoku with one extra group of cells. This group must also contain digits 1 through 9. (Girandola is a kind of revolving firework.)

Girandola

Center Dot is a variant of sudoku, where central cells of each region form an extra region. This region must contain digits 1 through 9.

Center Dot

Sudoku may contain additional four regions 3 x 3. This format was first introduced in the Dutch newspaper "NRC Handelsblad" by Peter Ritmeester. It is called Windoku ("Four-Box Sudoku", "Hyper Sudoku").

Windoku

Sudoku-DG ("Offset Sudoku") contains 9 disjoint groups in the puzzle, one for each relative box position. Each group has a distinct color. The group of 9 cells with the same color must also contain digits 1 through 9.

Sudoku-DG

In Anti-Knight Sudoku all cells at a chess knight move (at a distance of 2 by 1) must hold different numbers.

Anti-Knight Sudoku

In Anti-King Sudoku ("Touchless Sudoku") equal digits can be neither orthogonally nor diagonally adjacent.

Anti-King Sudoku

In Anti Diagonal Sudoku each diagonal has at most three different digits.

Anti Diagonal Sudoku

In Killer Sudoku, sub-regions have specified sums, and no number can be repeated within a region. This variant also called "Sums Sudoku", "Sums Number Place", "Samunamupure", "Kikagaku Nampure".

Killer Sudoku

Greater Than Sudoku is the variation of the original sudoku. In addition, greater than or less than signs (">" or "<") in the walls indicate that one cell's number is greater than or less than an adjacent cell's number. Also called "Compdoku".

Greater Than Sudoku

Even-Odd Sudoku: fill in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. Cells with gray circles must contain odd digits, cells with gray squares must contain even digits.

Even-Odd Sudoku

In Consecutive Sudoku ("1-away Disallowed Number Place"), all the places where orthogonally adjacent cells are consecutive numbers have been specially marked.

Consecutive Sudoku

In Non-Consecutive Sudoku no two adjacent cells have consecutive values. For example, if a cell contains 3, then any neighbouring square cannot contain either 2 or 4.

Non-Consecutive Sudoku

Kropki Sudoku (the Polish word "kropki" means "dots"; also known as "Dots Sudoku") is the variation of the original sudoku. If absolute difference between two digits in neighboring cells equals 1, then they are separated by a white dot. If the digit is a half of digit in the neighboring cell, then they are separated by black dot. The dot between 1 and 2 can be either white or black.

Kropki Sudoku

Sukaku ("Suuji Kakure", "Pencilmark Sudoku") has 81 groups of digits in a 9 x 9 grid. Like a standard sudoku, the puzzle must be completed in such a way that each row, each column and each 3 x 3 box contains digits 1 through 9. Only the candidates shown in the grid can be used.

Sukaku

Chain Sudoku (also known as "Strimko") consists of a group of circles arranged in a square grid and containing given clues in various places. The object is to fill all empty circles so that the digits appear exactly once in each row, column and chain.

The program can solve and create puzzles from 4 x 4 to 9 x 9.

Chain Sudoku

Frame Sudoku ("Outside Sum Sudoku") consists of an empty grid. Numbers in the outside frame equal the sum of the first three numbers in the corresponding row or column in the given direction.

Frame Sudoku

Skyscraper Sudoku contains clues around the edge. The task is to place digits in the grid. Each digit represents the height of the skyscraper in each cell. The numbers outside the grid represent the number of skyscrapers seen from the corresponding direction.

Skyscraper Sudoku

Tripod Sudoku is a variation of sudoku, where the borders of regions are not defined. The goal is to fill the grid with digits and divide the grid into regions. Each digit appears exactly once in every row, column and region. All points where three lines meet are given. There are no points where four lines meet.

Tripod Sudoku

Sudoku Mine (also known as "Minesweeper (Sudoku)") combines Sudoku puzzle with Minesweeper game. The goal is to place three mines in every row, column and region. The digits in the grid represent the number of mines in the neighbouring cells.

Sudoku Mine

Sujiken (from Japanese "sujikai", literally "diagonal") is a variation of Sudoku, invented by George Heineman (USA). The puzzle consists of a triangular grid of cells containing digits from 1 to 9. The objective is to fill a grid with digits so that each cell contains a digit and no digit is repeated in any column, row and diagonal in any direction. Also, no digit occurs twice in any of the three larger 3 x 3 square regions and any of the three larger triangular regions enclosed by thick borders.

Sujiken

Sudoku XV is the variation of the original sudoku. All adjacent cells with two digits summing to 10 are marked by X, while those summing to 5 are marked by V. The cells edges which do not contain an X or a V cannot have digits summing to 5 or 10.

Sudoku XV

Outside Sudoku is a variation of the standard sudoku. Some digits are given outside the grid. These digits must appear in the first three cells in the corresponding direction.

Outside Sudoku

Rossini Sudoku is a variation of the classic sudoku. The arrows outside the grid indicate that the nearest three digits in the corresponding direction are in ascending or descending order (the highest number is always in the direction of the arrow). All possible arrows are given, so if there is no arrow, the first three digits do not form an increasing sequence in either direction.

Rossini Sudoku

Little Killer Sudoku contains numbers and arrows around the edge. The numbered arrows outside the grid indicate the sum of the digits in the corresponding direction. Digits can repeat in the direction of the arrow.

Little Killer Sudoku

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Little Unique Killer Sudoku is a variation of Little Killer Sudoku. Clues outside the grid indicate the sums of digits in the direction of the corresponding arrow. Digits may not repeat within a sum.

Little Unique Killer Sudoku

Vudoku is a variation of the classic sudoku. The digit at the vertex of each marked "V" must either be sum or difference of other two digits on the "V".

Vudoku

Sandwich Sudoku contains extra numbers outside the grid. These extra clues indicate the sum of digits between 1 and 9 in the corresponding row or column.

Sandwich Sudoku

 

The program can solve puzzles of different grid sizes:

4 x 4 (the subgrids' size is 2 x 2);

4 x 4

6 x 6 (the subgrids' size is 3 x 2);

6 x 6

8 x 8 (the subgrids' size is 4 x 2);

8 x 8

10 x 10 (the subgrids' size is 5 x 2);

10 x 10

12 x 12 (the subgrids' size is 4 x 3);

12 x 12

15 x 15 (the subgrids' size is 5 x 3);

15 x 15

16 x 16 (the subgrids' size is 4 x 4).

16 x 16

 

Gattai is a Japanese word meaning merged or fused; this term is used for overlapping sudoku. A number after the word "Gattai" indicates how many 9 x 9 sudokus are in the puzzle ("Gattai-3", "Gattai-4", "Gattai-5" etc.).

Samurai Sudoku ("Gattai-5") is one of the sudoku variation with overlapping sudoku grids. The puzzle consists of five grids, one in the center and the other 4 overlapping each corner grid of the central one. This means that the numbers must be placed correctly for all the five puzzle squares.

Samurai Sudoku

Flower Sudoku ("Musketry Sudoku") has five sudoku puzzles in layout, similar to Samurai Sudoku. However, these puzzles overlap each other much more than in Samurai. The center grid is fully covered by the remaining four sub-puzzles.

Flower Sudoku

Named for the warrior monks of medieval Japan, Sohei Sudoku has four merged grids. Each grid has two overlapping areas.

Sohei Sudoku

Kazaguruma ("Windmill Sudoku") consists of five grids, one in the center and the other 4 overlapping the central one. This means that the numbers must be placed correctly for all the five puzzle squares.

Kazaguruma

Butterfly Sudoku is the variation of the original sudoku. The puzzle consists of four grids 9 x 9. The numbers must be placed correctly for all the four puzzle squares.

Butterfly Sudoku

Cross Sudoku has five merged grids. The numbers must be placed correctly for all the five puzzle squares.

Cross Sudoku

Gattai-3 consists of three grids 9 x 9.

Gattai-3

Twodoku ("Sensei Sudoku", "DoubleDoku") consists of two grids 9 x 9. The numbers must be placed correctly for both puzzle squares.

Twodoku

The program can solve Twodoku with irregular regions:

Twodoku

Triple Doku consists of three grids 9 x 9. The numbers must be placed correctly for all puzzle squares.

Triple Doku

Twin Corresponding Sudoku consists of a pair of standard sudoku puzzles each with some starting digits. To get a complete solution for the twin puzzles, it is necessary to solve each twin puzzle, but the complete solution of the twin puzzles will be obtained by substituting the corresponding values of the digits from one twin sudoku into the other.

Twin Corresponding Sudoku

 

Hoshi consists of six large triangles; the numbers 1 through 9 must be placed into the triangular cells of each large triangle. Every line (of any length, even uncontinous) contains every digit not more than once.

Hoshi

In Star Sudoku the row on the outer edge of the grid includes the cell on the nearest sharp end of the figure.

Star Sudoku

Tridoku was invented by Japheth Light (USA). The puzzle consists of nine large triangles; the numbers 1 through 9 must be placed into the triangular cells of each large triangle. Also, the numbers 1 through 9 must be placed in the three legs of the inner shaded triangle and in the three legs of the outer shaded triangle. No two neighboring cells may contain the same number.

Tridoku哥哥啪





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