KALAH VS SUGOROKU

Kalah, also called Kalaha or Mancala, is a game in the mancala family invented in the United States by William Julius Champion, Jr. in 1940. This game is sometimes also called "Kalahari", possibly by false etymology from the Kalahari desert in Namibia. As the most popular and commercially available variant of mancala in the West, Kalah is also sometimes referred to as Warri or Awari, although those names more properly refer to the game Oware. For most of its variations, Kalah is a solved game with a first-player win if both players play perfect games. The Pie rule can be used to balance the first-player's advantage. Mark Rawlings has written a computer program to extensively analyze both the "standard" version of Kalah and the "empty capture" version, which is the primary variant. The analysis was made possible by the creation of the largest endgame databases ever made for Kalah. They include the perfect play result of all 38,902,940,896 positions with 34 or fewer seeds. In 2015, for the first time ever, each of the initial moves for the standard version of Kalah(6,4) and Kalah(6,5) have been quantified: Kalah(6,4) is a proven win by 8 for the first player and Kalah(6,5) is a proven win by 10 for the first player. In addition, Kalah(6,6) with the standard rules has been proven to be at least a win by 4. Further analysis of Kalah(6,6) with the standard rules is ongoing. For the "empty capture" version, Geoffrey Irving and Jeroen Donkers (2000) proved that Kalah(6,4) is a win by 10 for the first player with perfect play, and Kalah(6,5) is a win by 12 for the first player with perfect play. Anders Carstensen (2011) proved that Kalah(6,6) was a win for the first player. Mark Rawlings (2015) has extended these "empty capture" results by fully quantifying the initial moves for Kalah(6,4), Kalah(6,5), and Kalah(6,6). With searches totaling 106 days and over 55 trillion nodes, he has proven that Kalah(6,6) is a win by 2 for the first player with perfect play. This was a surprising result, given that the "4-seed" and "5-seed" variations are wins by 10 and 12, respectively. Kalah(6,6) is extremely deep and complex when compared to the 4-seed and 5-seed variations, which can now be solved in a fraction of a second and less than a minute, respectively.

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Sugoroku (雙六 or 双六) (literally 'double six') refers to two different forms of a Japanese board game: ban-sugoroku (盤双六, 'board-sugoroku') which is similar to western backgammon, and e-sugoroku (絵双六, 'picture-sugoroku') which is similar to western Snakes and Ladders. The game is thought to have been introduced from China (where it was known as Shuanglu) into Japan in the sixth century. It is known that in the centuries following the game's introduction into Japan it was made illegal several times, most prominently in 689 and 754. This is because the simple and luck-based nature of sugoroku made it an ideal gambling game. This version of sugoroku and records of playing for gambling continuously appeared until early Edo era. In early Edo-era, a new and quick gambling game called Chō-han (丁半) appeared and using sugoroku for gambling quickly dwindled. This variant of the backgammon family has died out in Japan and most other countries, with the Western style modern backgammon (with doubling-cube) having some avid players. A simpler e-sugoroku, with rules similar to snakes and ladders, appeared as early as late 13th century and was made popular due to the cheap and elaborate wooden block printing technology of the Edo period. Thousands of variations of boards were made with pictures and themes from religion, political, actors, and even adult material. In the Meiji and later periods, this variation of the game remained popular and was often included in child-oriented magazines. With ban-sugoroku being obsolete, today the word sugoroku almost always means e-sugoroku.

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