برچسب: possible

  • Is it possible to score higher than 92 in Boggle using only US state names? [closed]


    Given a 5 X 5 Boggle grid, is it possible to score higher than 92 points using only US state names ("District of Columbia" is not included)? No spaces are used, so North Carolina becomes NORTHCAROLINA, and no double-counting of letters is allowed (for example, for HAWAII, cannot double-tap on "I" in a single grid space.) It is known that the following 5 x 5 arrangement of letters yields 92 points (there is a rumor a 105-point solution was found, but it is not available):

    SUTHC
    NORAD
    AILKS
    STONA
    IUMWT
    

    In summary, the state names found (and points) are represented in shorthand by the following USPS two-letter mnemonics:
    NC-13, SC-13, ND-11, SD-11, LA-9, AR-8, MT-7, AK-6, KS-6, IA-4, UT-4 when spelled out they give a total of 92 points. The "UIS" in the lower left corner was used to capture LOUISIANA, but could conceivably be improved upon.

    It has been suggested that the counts of occurrences of letters in state names might be useful:

    A 63
    I 45
    N 43
    O 36
    S 34
    E 29
    R 22
    T 19
    L 17
    H 16
    M 15
    C 13
    D 11
    W 11
    K 10
    G 9
    U 8
    Y 6
    V 5
    P 4
    B 2
    F 2
    X 2
    J 1
    Z 1
    Q 0
    



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  • Is it possible to use any World War I tanks in the Warhammer 40,000 universe as Imperial Guard tanks? [closed]


    I started collecting the tank department of the Imperial Guard, and I noticed an interesting tank called "Ragnarök," which looks very much like either the KV-2 or the FV4005.

    Is it possible to create tanks for the Imperial Guard based on the "Rybinsk Tank" or the "Fiat 2000" tank, or other tanks? In particular, I want to use it as a filling for the playing field, like destroyed equipment.



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  • What is the fastest possible game in Splendor?

    What is the fastest possible game in Splendor?


    In the game of Splendor, what is the fewest number of turns you could take to get 15 points?

    All cards and nobles



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  • American checkers largest possible number of legal move choices from any board position


    I want to know what is the maximum number of legal move choices from any board position, in the game of checkers, assuming official rules.

    I’m creating a program that plays checkers, and for performance reasons, I need to know in advance the largest number of legal moves. I expect it to be quite low, like under 50, but just making a guess is not an option for me.

    I searched for this, but couldn’t find an answer. Maybe I missed something.

    Edit:

    Thinking for a moment, I think (one of) the largest theoretical number(s) of legal moves might be where all 12 pieces are kings, like in the position W:WK5,K6,K7,K8,K13,K14,K15,K16,K21,K22,K23,K24:BK30, which has 42 legal moves. That position is not valid and is not possible to occur. I’m more interested though in the largest possible moves from a valid checkers position. An upper bound might be fine.



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  • Is it ever possible to live within an eye?


    Suppose my opponent has a group with an eye of an arbitrarily large size. Is it ever possible to play within that eye and live? For instance, suppose a 19×19 board, with black stones occupying every corner and edge position. Can white live inside?



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