KALAH VS TAK

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.

See statistics

Tak is a two-player abstract strategy game designed by James Ernest and Patrick Rothfuss and published by Cheapass Games in 2016. The goal of Tak is to be the first to connect two opposite edges of the board with pieces called "stones", and create a road. To accomplish this, players take turns placing their own stones and building a road while blocking and capturing their opponent's stones to hinder their efforts at the same. A player "captures" a stone by stacking one of their pieces on top of the opponent's. These stacks can then be moved as a whole or broken up and moved across several spaces on the board. The vertical stacking and unstacking of stones gives a three dimensional element to the game play. A player may move a single piece or a stack of pieces they control. A stack is made when a player moves a stone on top of another flat stone of any color. The stone on top of a stack determines which player has control of that entire stack. All stones move orthogonally in a straight line on the board. There is no diagonal movement. A player can also move a whole stack in addition to single stones. A stack can be moved like a single stone, moved in its entirety one space orthogonally (North, South, East, or West), or it can move several spaces orthogonally by breaking the stack and placing one or more flat stones onto the squares being moved onto. The player can leave any number of stones, including zero, on the starting space, but must place at least one piece for each subsequent move. There is no height limit for stacks, but the amount of stones a player can remove from the stack and move is set by the "carry limit" of the board. The carry limit of the board is determined by the dimensions of the board. For example, if the stack was on a 5x5 board, the carry limit of the stack would be five. Because standing stones and capstones can't be stacked upon, there are no stacks with these pieces at the bottom or in the middle of the stack. Both of these stones however can be moved onto other flat stones to form a stack with them as the head. A capstone may "flatten" a standing stone and use it to form a stack with the capstone as its head, but it must do so alone. For example, a stack with a capstone cannot flatten a standing stone by moving as a stack onto the standing stone, but a stack can be used to move a capstone across the board so that the capstone alone moves to flatten the standing stone as the final movement.

See statistics