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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC40 (SEED 204540)

Ascending Staircase Shoe ASC40: 79-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC40 (seed 204540) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 79 dealt 8-deck hands (33 Banker, 38 Player, 8 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 67 Big Eye Boy marks (26R/41B), 64 Small Road marks (26R/38B), and 63 Cockroach Pig marks (41R/22B).

Verified 8-Deck Hands
79 (ASC40)
Outcome Split
33B / 38P / 8T
Peak Streaks
5B · 6P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 79 Hands

Read the Board at Table Speed

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Big Road P P P B B P B P P B B P P P P B B B B P P P P P B B P P B P P B B P B B P P P B P P P B B B B B P P B B B B P B B P P P B P P
Big Eye Boy = = = ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = = ≠ ≠ = = = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = = ≠ = ≠ = = = ≠ = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = ≠ ≠ = ≠ ≠ = = ≠ = ≠ = = ≠ = = ≠ = = ≠ = ≠ = = ≠ ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = ≠ = = ≠ ≠ = = = = ≠ = =

ASC40 (seed 204540): 79 hands (33B / 38P / 8T), peak streaks 5B & 6P across 29 logical columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
ASC40 Big Eye Boy Entry #6

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

ASC40 Small Road Entry #6

This bead is at Row 3. Column 4 stopped at Row 1, more than one row above → red (=).

  1. Column 6 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 stopped at Row 1, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

ASC40 Cockroach Pig Entry #4

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC40 8-Deck Hand Distribution
79 Hands (33 Banker / 38 Player / 8 Tie)

Seed 204540 opening column signature: C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC40 Big Road Span & Max Streaks
Max 5B / Max 6P Across 29 Logical Cols (29 Display Cols)

Because each staircase column is exactly one bead deeper than its predecessor, every column tip lands on Row (priorDepth + 1) while every new column compares unequal depths.

ASC40 Big Eye Boy Rule Breakdown
67 Marks (26R / 41B · 38.8% Red across 36 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 40.

ASC40 Small Road & Cockroach Pig Tally
SR: 26R/38B (40.6% Red) · CP: 41R/22B (65.1% Red)

On Big Eye Boy (lookback 1), an ascending 1-2-3-4-5 sequence marks Blue (≠) at Row 1 of every new column (Rule 1) and Blue (≠) on the final bead of every column (Rule 2 Case 2).

ASC40 Hand #80 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #79 of ASC40.

ASC40 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC40 Scoreboard Structure: C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC40 (seed 204540), 79 total hands resolve into 33 Banker wins, 38 Player wins, and 8 Ties across 29 logical columns (C1:3P · C2:3B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B). Because each staircase column is exactly one bead deeper than its predecessor, every column tip lands on Row (priorDepth + 1) while every new column compares unequal depths.

Tracking ASC40 column by column shows peak runs of 5B and 6P spreading across 29 Big Road display columns: ASC40 records 27 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 40 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC40 (Seed 204540)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC40-C01 (H1–H3)3P (PPP) [ASC40]0B/3P (+0T @ASC40-C1)ASC40 Row3 Stop (Col1)NextColVsASC40-C1: 3v3
ASC40-C02 (H4–H7)3B (BBB) [ASC40]3B/3P (+1T @ASC40-C2)ASC40 Row3 Stop (Col2)NextColVsASC40-C1: 3v3
ASC40-C03 (H8–H8)1P (P) [ASC40]3B/4P (+0T @ASC40-C3)ASC40 Row1 Stop (Col3)NextColVsASC40-C2: 1v3
ASC40-C04 (H9–H9)1B (B) [ASC40]4B/4P (+0T @ASC40-C4)ASC40 Row1 Stop (Col4)NextColVsASC40-C3: 1v1
ASC40-C05 (H10–H11)2P (PP) [ASC40]4B/6P (+0T @ASC40-C5)ASC40 Row2 Stop (Col5)NextColVsASC40-C4: 2v1
ASC40-C06 (H12–H15)3B (BBB) [ASC40]7B/6P (+1T @ASC40-C6)ASC40 Row3 Stop (Col6)NextColVsASC40-C5: 3v2
ASC40-C07 (H16–H19)4P (PPPP) [ASC40]7B/10P (+0T @ASC40-C7)ASC40 Row4 Stop (Col7)NextColVsASC40-C6: 4v3
ASC40-C08 (H20–H25)5B (BBBBB) [ASC40]12B/10P (+1T @ASC40-C8)ASC40 Row5 Stop (Col8)NextColVsASC40-C7: 5v4
ASC40-C09 (H26–H32)6P (PPPPPP) [ASC40]12B/16P (+1T @ASC40-C9)ASC40 Row6 Stop (Col9)NextColVsASC40-C8: 6v5
ASC40-C10 (H33–H34)2B (BB) [ASC40]14B/16P (+0T @ASC40-C10)ASC40 Row2 Stop (Col10)NextColVsASC40-C9: 2v6
  • ASC40 BEB #6 (BLUE): verified at ASC40 lookback-1 index 5 (26R/41B total).
  • ASC40 SR #6 (RED): verified at ASC40 lookback-2 index 5 (26R/38B total).
  • ASC40 CP #4 (BLUE): verified at ASC40 lookback-3 index 3 (41R/22B total).
ASC40 DERIVED-ROAD & CUT-CARD PROBE

ASC40 Lookback Split (26R/41B BEB · 26R/38B SR · 41R/22B CP)

On Big Eye Boy (lookback 1), an ascending 1-2-3-4-5 sequence marks Blue (≠) at Row 1 of every new column (Rule 1) and Blue (≠) on the final bead of every column (Rule 2 Case 2). Across ASC40, Big Eye Boy prints 26 Red (38.8%) and 41 Blue marks, Small Road prints 26 Red (40.6%) and 38 Blue marks, and Cockroach Pig prints 41 Red (65.1%) and 22 Blue marks.

At the ASC40 cut card after Hand #79, probing Hand #80 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC40.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC40 is a neat visual staircase, Big Eye Boy marks solid Red from start to finish.
TruthBig Eye Boy tests depth equality, not arithmetic progression; in ASC40, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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