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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC23 (SEED 204523)

Ascending Staircase Shoe ASC23: 66-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC23 (seed 204523) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 66 dealt 8-deck hands (33 Banker, 27 Player, 6 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P) and generate 58 Big Eye Boy marks (21R/37B), 57 Small Road marks (23R/34B), and 56 Cockroach Pig marks (37R/19B).

Verified 8-Deck Hands
66 (ASC23)
Outcome Split
33B / 27P / 6T
Peak Streaks
5B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 66 Hands

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

ASC23 (seed 204523): 66 hands (33B / 27P / 6T), peak streaks 5B & 4P across 27 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)
ASC23 Big Eye Boy Entry #7

Column 5 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

ASC23 Small Road Entry #4

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

ASC23 Cockroach Pig Entry #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC23 8-Deck Hand Distribution
66 Hands (33 Banker / 27 Player / 6 Tie)

Seed 204523 opening column signature: C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P.

ASC23 Big Road Span & Max Streaks
Max 5B / Max 4P Across 27 Logical Cols (27 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.

ASC23 Big Eye Boy Rule Breakdown
58 Marks (21R / 37B · 36.2% Red across 34 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

ASC23 Small Road & Cockroach Pig Tally
SR: 23R/34B (40.4% Red) · CP: 37R/19B (66.1% 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).

ASC23 Hand #67 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #66 of ASC23.

ASC23 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC23 Scoreboard Structure: C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P

In catalog shoe ASC23 (seed 204523), 66 total hands resolve into 33 Banker wins, 27 Player wins, and 6 Ties across 27 logical columns (C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P). 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 ASC23 column by column shows peak runs of 5B and 4P spreading across 27 Big Road display columns: ASC23 records 25 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC23 (Seed 204523)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC23-C01 (H1–H1)1B (B) [ASC23]1B/0P (+0T @ASC23-C1)ASC23 Row1 Stop (Col1)NextColVsASC23-C1: 1v1
ASC23-C02 (H2–H2)1P (P) [ASC23]1B/1P (+0T @ASC23-C2)ASC23 Row1 Stop (Col2)NextColVsASC23-C1: 1v1
ASC23-C03 (H3–H3)1B (B) [ASC23]2B/1P (+0T @ASC23-C3)ASC23 Row1 Stop (Col3)NextColVsASC23-C2: 1v1
ASC23-C04 (H4–H5)2P (PP) [ASC23]2B/3P (+0T @ASC23-C4)ASC23 Row2 Stop (Col4)NextColVsASC23-C3: 2v1
ASC23-C05 (H6–H9)3B (BBB) [ASC23]5B/3P (+1T @ASC23-C5)ASC23 Row3 Stop (Col5)NextColVsASC23-C4: 3v2
ASC23-C06 (H10–H13)4P (PPPP) [ASC23]5B/7P (+0T @ASC23-C6)ASC23 Row4 Stop (Col6)NextColVsASC23-C5: 4v3
ASC23-C07 (H14–H19)5B (BBBBB) [ASC23]10B/7P (+1T @ASC23-C7)ASC23 Row5 Stop (Col7)NextColVsASC23-C6: 5v4
ASC23-C08 (H20–H21)2P (PP) [ASC23]10B/9P (+0T @ASC23-C8)ASC23 Row2 Stop (Col8)NextColVsASC23-C7: 2v5
ASC23-C09 (H22–H26)4B (BBBB) [ASC23]14B/9P (+1T @ASC23-C9)ASC23 Row4 Stop (Col9)NextColVsASC23-C8: 4v2
ASC23-C10 (H27–H27)1P (P) [ASC23]14B/10P (+0T @ASC23-C10)ASC23 Row1 Stop (Col10)NextColVsASC23-C9: 1v4
  • ASC23 BEB #7 (BLUE): verified at ASC23 lookback-1 index 6 (21R/37B total).
  • ASC23 SR #4 (BLUE): verified at ASC23 lookback-2 index 3 (23R/34B total).
  • ASC23 CP #3 (BLUE): verified at ASC23 lookback-3 index 2 (37R/19B total).
ASC23 DERIVED-ROAD & CUT-CARD PROBE

ASC23 Lookback Split (21R/37B BEB · 23R/34B SR · 37R/19B 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 ASC23, Big Eye Boy prints 21 Red (36.2%) and 37 Blue marks, Small Road prints 23 Red (40.4%) and 34 Blue marks, and Cockroach Pig prints 37 Red (66.1%) and 19 Blue marks.

At the ASC23 cut card after Hand #66, probing Hand #67 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC23.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC23 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 ASC23, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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