Cadbury Chomp Bar, 21 g (Pack of 5)

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Find sources: "Chomp"chocolate bar– news · newspapers · books · scholar · JSTOR ( May 2010) ( Learn how and when to remove this template message) Chomp is sometimes described numerically. An initial natural number is given, and players alternate choosing positive divisors of the initial number, but may not choose 1 or a multiple of a previously chosen divisor. This game models n- dimensional Chomp, where the initial natural number has n prime factors and the dimensions of the Chomp board are given by the exponents of the primes in its prime factorization. Chomp is a brand of chocolate bar which was first manufactured by Cadbury South Africa in the early 1970s, [1]. It is currently manufactured and popular in South Africa, Australia and the United Kingdom.

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Chomp bars have 5 syns for a 21g bar, making these chocolates fairly high in syns, we, therefore, suggest having them in moderation.

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Khandhawit, Tirasan; Ye, Lynnelle (2011). "Chomp on graphs and subsets". arXiv: 1101.2718 [ math.CO]. Cadbury Chomp Bars- a very retro chocolate bar that's been around for a long time and still going as strong as it ever did ! Still craved by many a true classic cadbury milk chocolate covered fudgy textured soft creamy caramel centre. Each Cadbury Chomp Bar is approx 22g in weight. The intermediate positions in an m × n Chomp are integer-partitions (non-increasing sequences of positive integers) λ 1 ≥ λ 2 ≥···≥ λ r, with λ 1 ≤ n Most of the time, many of us try to refrain from eating chocolate when we're dieting, but on the slimming world, you can happily indulge in a chomp bar as long as your counting their syns. Cho, In-Sung (2018). "Winning strategies for the game of Chomp: A practical approach". J. History Math. 31 (3): 151–166. doi: 10.14477/jhm.2018.31.3.151.

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Chomp bars are owned by Cadbury, which has a huge range of other chocolate bars on offer for a sweet treat. We've listed some popular syn values of these chocolates down below. For any rectangular starting position, other than 1×1, the first player can win. This can be shown using a strategy-stealing argument: assume that the second player has a winning strategy against any initial first-player move. Suppose then, that the first player takes only the bottom right hand square. By our assumption, the second player has a response to this which will force victory. But if such a winning response exists, the first player could have played it as their first move and thus forced victory. The second player therefore cannot have a winning strategy. Caramel (70%), (Glucose Syrup, Sweetened Condensed, Skimmed Milk, Vegetable Oil, Glucoe-fructose Syrup, Sugar, Flavourings, Salt, Emulsifier (E471)), Milk Chocolate (Sugar, Dried Whole Milk, Cocoa Butter, Cocoa Mass, Dried Whey, Vegetable Fat, Emulsifier (E442), Flavourings) During the 1970s Chomp bars were sold in Australia with the catchphrase "Ten cents never tasted so good".

Computers can easily calculate winning moves for this game on two-dimensional boards of reasonable size. However, as the number of positions grows exponentially, this is infeasible for larger boards. Note that since it is provable that player A can win when starting from a 5 × 4 bar, at least one of A's moves is a mistake. Zeilberger, Doron (2001). "Three-Rowed CHOMP". Advances in Applied Mathematics. 26 (2): 168–179. doi: 10.1006/aama.2000.0714.