KALAH VS XIANGQI

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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Xiangqi (Chinese: 象棋; pinyin: xiàngqí; Wade–Giles: Hsiang ch'i; English: /ˈʃɑːŋtʃi/), also called Chinese chess or Elephant chess, is a strategy board game for two players. It is one of the most popular board games in China, and is in the same family as Western chess, chaturanga, shogi, Indian chess and janggi. Besides China and areas with significant ethnic Chinese communities, xiangqi is also a popular pastime in Vietnam, where it is known as cờ tướng. The game represents a battle between two armies, with the object of capturing the enemy's general (king). Distinctive features of xiangqi include the cannon (pao), which must jump to capture; a rule prohibiting the generals from facing each other directly; areas on the board called the river and palace, which restrict the movement of some pieces (but enhance that of others); and placement of the pieces on the intersections of the board lines, rather than within the squares. Xiangqi is played on a board nine lines wide and ten lines long. As in the game Go (圍碁; or Wei ch'i 圍棋), the pieces are placed on the intersections, which are known as points. The vertical lines are known as files (Chinese: 路; pinyin: lù; "road"), and the horizontal lines are known as ranks (Chinese: 線/綫; pinyin: xiàn; "line"). Centred at the first to third and eighth to tenth ranks of the board are two zones, each three points by three points, demarcated by two diagonal lines connecting opposite corners and intersecting at the centre point. Each of these areas is known as 宮 About this soundgōng, a castle. Dividing the two opposing sides, between the fifth and sixth ranks, is 河 hé, the "river". The river is often marked with the phrases 楚河 About this soundchǔ hé, meaning "River of the Chu ", and 漢界 About this soundhàn jiè, meaning "Border of the Han", a reference to the Chu–Han War. Although the river (or Hanchu boundary) provides a visual division between the two sides, only two pieces are affected by its presence: soldiers have an enhanced move after crossing the river, and elephants cannot cross it. The starting points of the soldiers and cannons are usually, but not always, marked with small crosses.

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