DICEBALL VS KALAH

Diceball! is a board game in which two players roll dice to simulate a baseball game, one representing the visiting team and the other the home team. Both players use the dice to throw the baseball from the mound to the plate and field the ball on defense. Diceball! was designed to mirror the statistical reality of baseball. A regular game of Diceball! without extra innings lasts about 45 minutes. The game was designed in 1979 on a pizza box by a 16-year old Daniel Girard from Rawdon, Québec, while the Montreal Expos were chasing the pennant in the National League. Girard brought his game to his high school, where he organized tournaments with other students. Given the popularity of the game in his school, Girard also brought his game to university where it also became popular. The interest created by the game was noticed by entrepreneur Louis Desjardins, who launched the game with Girard. To start the game, the visiting team puts a pawn (as a batter and eventually runner) in the batter's box, to get the pitcher's throws. The die replaces the ball. The pitcher rolls the die until either the batter is struck out, the batter is walked, or the ball is hit. If the ball is hit, the offensive team rolls a die to determine the number of dice to be used to hit the ball. The number of dice indicated are rolled and added up. Numbers from 1 to 36 show the location where the ball is hit and the ball is placed on the game board. If the ball is hit on a circle, the ball was hit in the air and an out is recorded. If the ball is hit on a number in a cloud, it is a ground ball and that the batter will have to try to reach a base before the defense throws to that base. If the ball is hit to a star-shaped zone, the runner starts to run around the bases while the defence recovers the ball on the star. If the stars are from 27 to 36 it is a home run and all runners score. Every batter who runs around the bases and reaches home plate before three outs scores a run. As soon as three outs are recorded, stranded runners are removed from the bases. The teams trade places: the defense becomes the offense.

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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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