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.

The problem can be quite computationally expensive as there are 4, 426, 165, 368 ( i. e., 64 choose 8 ) possible arrangements of eight queens on a 8 × 8 board, but only 92 solutions.

N is 8 for eight queens puzzle.

The eight queens puzzle has 92 distinct solutions.

Of the 12 fundamental solutions to the problem with eight queens on an 8x8 board, exactly one is equal to its own 180 degree rotation, and none are equal to their 90 degree rotation, thus the number of distinct solutions is 11 * 8 + 1 * 4 = 92 ( where the 8 is derived from four 90-degree rotational positions and their reflections, and the 4 is derived from two 180-degree rotational positions and their reflections ).

An answere, That by no manner of law, it may be lawfull for the most noble King of England, King Henry the eight to be divorced from the queens grace, his lawfull and very wife.

There are 240 distinct solutions of the Soma cube puzzle, excluding rotations and reflections: these are easily generated by a simple recursive backtracking search computer program similar to that used for the eight queens puzzle.

In the eight queens puzzle, if the eight queens are considered to be distinct, there are 3 709 440 distinct solutions.

A brute-force approach for the eight queens puzzle would examine all possible arrangements of 8 pieces on the 64-square chessboard, and, for each arrangement, check whether each ( queen ) piece can attack any other.

Brute force search should not be confused with backtracking, where large sets of solutions can be discarded without being explicitly enumerated ( as in the textbook computer solution to the eight queens problem above ).

For example, in the eight queens problem the challenge is to place eight queens on a standard chessboard so that no queen attacks any other.

Another is the eight queens problem, in which eight queens are to be placed on the board so that none is attacking any of the others.

Generating the permutations that are solutions of the eight rooks puzzle and then checking for diagonal attacks further reduces the possibilities to just 40, 320 ( that is, 8 !).

Classic combinatorial search problems include solving the eight queens puzzle or evaluating moves in games with a large game tree, such as reversi or chess.

The classic textbook example of the use of backtracking is the eight queens puzzle, that asks for all arrangements of eight chess queens on a standard chessboard so that no queen attacks any other.

* Puzzles such as eight queens puzzle, crosswords, verbal arithmetic, Sudoku, Peg Solitaire.

Nintendo picked up on this puzzle fad and released two " Picross " ( Picture Crossword ) titles for the Game Boy and nine for the Super Famicom ( eight of which were released in two-month intervals for the Nintendo Power Super Famicom Cartridge Writer as the " NP Picross " series ) in Japan.

" Action All-Star " were not the standard 2½ " by 3½ " card size, rather 3½ " by 5 " and included a 63-piece Mickey Mantle puzzle ( eight cards per pack and three pieces on one card per pack ).

The games executive producer Chris Graham stated that the game was aimed at eight to fourteen year olds with its puzzle based gameplay.

A traditional puzzle ring is a type of ring made up of four, six, eight, or twelve interconnected rings.

Do build a wall of glowing coals six to eight inches in front of meat that is barbecued on an electric spit.

It is a good eight years now since each of us acquired a swimming pool -- eight enlightening, vigorous, rigorous, not wholly unrewarding years.

In litters of eight mice from similar parents, the number of mice with straight instead of wavy hair is an integer from 0 to 8.

The new formula for filling staff positions in the Secretariat is one of a number of recommendations made by a panel of eight in a long and detailed report.

All Mantle needs is eight more home runs in August and ten in September, and he will establish a new record.

indeed, there are never fewer than eight of them on stage, and that is only for the more intimate numbers.

Of the nation's eight million pleasure-boat owners a sizable number have learned that late autumn is one of the loveliest seasons to be afloat -- at least in that broad balmy region that lies below America's belt line.

I know it is midweek, but it's only eight days before commencement.

`` No directives from Central is scarcely a cause for regret, but there happen to be eight other guys biting their fingernails to the quick just waiting for an invitation to board you, you beautiful thing ''.

The land on the Arctic Circle is divided among eight countries: Norway, Sweden, Finland, Russia, the United States ( Alaska ), Canada, Denmark ( Greenland ), and Iceland ( where it passes through the small offshore island of Grímsey ).

The population of the region is 14 million spread across eight countries.

Each of these hymns has eight four-line stanzas and is written in strict iambic dimeter ( that is 2 x 2 iambs ).

It is octagonal, with figures carved on each side, representing the eight principal winds.

Although the hardware is limited to four separate sound channels, software such as OctaMED uses software mixing to allow eight or more virtual channels, and it was possible for software to mix two hardware channels to achieve a single 14-bit resolution channel by playing with the volumes of the channels in such a way that one of the source channels contributes the most significant bits and the other the least.

The Atlanta Falcons Football Team is owned by business man Arthur Blank, and eight limited partners.

Abhinavagupta likens it to the string of a jeweled necklace ; while it may not be the most appealing for most people, it is the string that gives form to the necklace, allowing the jewels of the other eight rasas to be relished.

He points out that Shrine 261 is not strictly analogous to the Ark of the Covenant: it can only be said that the Anubis Shrine is " ark-like ", constructed of wood, gilded and gessoed, stored within a sacred tomb, " guarding " the treasury of the tomb ( and not the primary focus of that environment ), that it contains compartments within it that store and hold sacred objects, that it has a figure of Anubis on its lid, and that it was carried by two staves permanently inserted into rings at its base and borne by eight priests in the funerary procession to Tutankhamun's tomb.

Administration to the sick is one of the eight sacraments of the Community of Christ, in which it has also been used for people seeking spiritual, emotional or mental healing.

This is done by adding eight extra 8-bit buses which allow the graphics controller to issue new AGP requests and commands at the same time with other AGP data flowing via the main 32 address / data ( AD ) lines.

* 367 – Gratian, son of Roman Emperor Valentinian I, is named co-Augustus by his father and associated to the throne aged eight.

This is easiest to describe in terms of lines of latitude and longitude-the spines lie on the intersections between five of the former, symmetric about an equator, and eight of the latter, spaced uniformly.

* 1933 – Prohibition is repealed for beer of no more than 3. 2 % alcohol by weight, eight months before the ratification of the XXI amendment.