KALAH VS OPERATION

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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Operation is a battery-operated game of physical skill that tests players' hand-eye coordination and fine motor skills. The game's prototype was invented in 1964 by John Spinello, a University of Illinois industrial design student at the time, who sold his rights to the game to renowned toy designer Marvin Glass for a sum of US$500 and the promise of a job upon graduation (a promise that was not upheld). Initially produced by Milton Bradley in 1965, Operation is currently made by Hasbro, with an estimated franchise worth of US$40 million. The game is a variant on the old-fashioned electrified wire loop game popular at funfairs. It consists of an "operating table", lithographed with a comic likeness of a patient (nicknamed "Cavity Sam") with a large red lightbulb for his nose. This could be a reference to classic cartoons, where ill characters' noses turn red. In the surface are a number of openings, which reveal cavities filled with fictional and humorously named ailments made of plastic. The general gameplay requires players to remove these plastic ailments with a pair of tweezers without touching the edge of the cavity opening. Operation includes two sets of cards: The Specialist cards are dealt out evenly amongst the players at the beginning of the game. In the U.S and Australian version, players take turns picking Doctor cards, which offer a cash payment for removing each particular ailment, using a pair of tweezers (dubbed “Electro Probe” in earlier versions) connected with wire to the board. Successfully removing the ailment is rewarded according to the dollar amount shown on the card. However, if the tweezers touch the metal edge of the opening during the attempt (thereby closing a circuit), a buzzer sounds, Sam's nose lights up red, and the player loses the turn. The player holding the Specialist card for that piece then has a try, getting double the fee if he or she succeeds. Since there will be times when the player drawing a certain Doctor card also holds the matching Specialist card, that player can purposely botch the first attempt in order to attempt a second try for double value. The winner is the player who holds the most money after all the ailments are extracted. Subsequent later games removed the money and cards, and the winner of these editions is the player who removes the most ailments.

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