how to win mancala in one turn
Today’s guest blogger is Anoush Najarian, who leads the MATLAB Performance Team at MathWorks. And while she’s primarily focused on getting MATLAB up and running, in her spare time she enjoys using MATLAB for hobby projects in robotics, math, and games.
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Winning at Mancala Let me tell you what happened when I got tired of losing at Mancala, and decided to write some MATLAB code to play it. Thank you to my daughter, sixth grader, Natalie, for introducing me to the game and being a partner in these experiments.Currently, there are many ways to play the games in the Mancala family. The set of rules we’ve coded is: you pick from any hole and drop each stone one by one while circling the board counterclockwise, drop a stone into your house whenever do you go through it. If you drop the last stone in the house, you get a ‘free’ turn. If you drop your last stone into a non-empty hole, you can continue with what I call an ‘auto’ move, picking up all the stones from that hole. In the original position, there are four stones in each hole. Read more: How to make aloo tikki . burgers
Is there a First Player Advantage? (You Bet!) You know how some games have a first player advantage? It turns out that in Mancala you can find a way not only to win (that’s cool), but to win all the marbles (awesome), and do so from your very first move. !% Here is the driver code to find (one of many solutions!) %all-48-marble-win-on-move-first, runs in ~20 seconds on % of my laptop! gamete = {0 [4 4 4 4 4 4 4 4 4 4 4 4] []}; nummoves = 0; while nummoves < 50 newgametrees = {}; L = size (gamete, 1); [maxscore, ind] = max(cell2mat(gametes(:, 1))); [totalscore, board, winningstreak] = gamete {ind,:}; % shows an entry with the highest score for g = 1: L [totalscore, board, winningstreak] = gamete {g,:}; for t = 1:12 if board
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