• How to prime a single checker

    From Timothy Chow@21:1/5 to All on Thu Mar 21 22:45:40 2024
    XGID=-a--BBBDBb--aB---c-bd-bA--:1:-1:1:43:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O X | +---+
    | X O | | O O O | | 2 |
    | O | | O | +---+
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | X | | |
    | X | | |
    | O X X | | X X X |
    | O O X X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 123 O: 131 X-O: 0-0
    Cube: 2, O own cube
    X to play 43

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Mon Mar 25 08:30:49 2024
    XGID=-a--BBBDBb--aB---c-bd-bA--:1:-1:1:43:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O X | +---+
    | X O | | O O O | | 2 |
    | O | | O | +---+
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | X | | |
    | X | | |
    | O X X | | X X X |
    | O O X X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 123 O: 131 X-O: 0-0
    Cube: 2, O own cube
    X to play 43

    I tried slotting the front of my prime, but XG says that's too risky.
    It's a more viable plan in the variant below, where O's 2's are duped.

    1. Rollout¹ 8/5 8/4 eq:+0.110
    Player: 58.07% (G:20.58% B:0.75%)
    Opponent: 41.93% (G:11.04% B:0.32%)
    Confidence: ±0.008 (+0.102..+0.119) - [100.0%]

    2. Rollout¹ 7/4 7/3 eq:+0.025 (-0.085)
    Player: 57.09% (G:20.19% B:1.00%)
    Opponent: 42.91% (G:16.85% B:0.53%)
    Confidence: ±0.010 (+0.015..+0.035) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.211.pre-release

    -------
    Variant
    -------

    XGID=-a--BBBDBb--aB---c-cbabA--:1:-1:1:43:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O O X | +---+
    | X O | | O O O | | 2 |
    | O | | O | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | |
    | X | | |
    | O X X | | X X X |
    | O O X X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 123 O: 131 X-O: 0-0
    Cube: 2, O own cube
    X to play 43

    1. Rollout¹ 8/5 8/4 eq:-0.054
    Player: 53.01% (G:19.74% B:0.79%)
    Opponent: 46.99% (G:13.86% B:0.48%)
    Confidence: ±0.007 (-0.061..-0.047) - [98.7%]

    2. Rollout¹ 7/4 7/3 eq:-0.065 (-0.012)
    Player: 54.32% (G:20.03% B:0.90%)
    Opponent: 45.68% (G:17.87% B:0.71%)
    Confidence: ±0.007 (-0.073..-0.058) - [1.3%]

    ¹ 2592 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)