These batch scripts have been carefully fine-tuned to run like clockwork. Rejection sampling ensures truly fair dice mechanics, including an unbiased 1d3 implemented with retry logic to eliminate roll bias. A standard 50/50 coin flip is also included, along with randomized conditional outputs that each have an independent 50% probability of applying a coin flip bonus of +25, +36, +40, or +50 — enhancing uniformity and integrating seamlessly with D6 coordinates. One example formula used for generating fair outcomes is (D₆₁ − 1) × 6 + D₆₂, which layers multiple D6 rolls for a more granular spread while preserving uniformity. Variable parsing issues, common in batch scripting, were fixed by using delayed expansion, which enables correct handling of variables inside loops and functions. Regarding environment stability, setlocal was applied only once at the very top of the script to avoid repeated environment resets that disrupt variable scope during loops. For all the batch file systems and the Tarot system, a precise formula accurately simulates a fair 78-card draw for each card using (D₆ − 1) × 13 + (D₁₃ − 1), combined with an added coin flip to determine card orientation (upright or reversed). I'm also using the formulas fx = (D₅ + D₆) × 3 − 5 and froll = (D₆ × 5 + D₅_follow) for selections. These formulas subtract 1 to convert the 1-based dice results into 0-based row indices, which is essential for consistent math when working with 2D grid structures, ensuring correct array addressing and predictable logic flow. A grid-based layout system is used where applicable, enabling spatial spreads, structured logic, and future expansion into positional effects. Additional script integrity is maintained through loop failsafes, such as retry limits and conditional breakouts, to prevent infinite loops or runaway conditions during rejection sampling or invalid input handling. Output formatting has also been tuned for readability, using spaced line breaks and optional styling for clarity and immersion. Every detail, from randomization to orientation, has been optimized for accuracy, fairness, and consistent uniformity in randomized results.
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