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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC03 (SEED 204503)

Ascending Staircase Shoe ASC03: 74-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC03 (seed 204503) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 74 dealt 8-deck hands (35 Banker, 33 Player, 6 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:3B · C2:4P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P) and generate 64 Big Eye Boy marks (21R/43B), 60 Small Road marks (23R/37B), and 59 Cockroach Pig marks (42R/17B).

Verified 8-Deck Hands
74 (ASC03)
Outcome Split
35B / 33P / 6T
Peak Streaks
5B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 74 Hands

Read the Board at Table Speed

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

ASC03 (seed 204503): 74 hands (35B / 33P / 6T), peak streaks 5B & 4P 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)
ASC03 Big Eye Boy Entry #5

Column 3 has 1 bead. Column 2 has 4 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

ASC03 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.

ASC03 Cockroach Pig Entry #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

ASC03 8-Deck Hand Distribution
74 Hands (35 Banker / 33 Player / 6 Tie)

Seed 204503 opening column signature: C1:3B · C2:4P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P.

ASC03 Big Road Span & Max Streaks
Max 5B / Max 4P 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.

ASC03 Big Eye Boy Rule Breakdown
64 Marks (21R / 43B · 32.8% Red across 32 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

ASC03 Small Road & Cockroach Pig Tally
SR: 23R/37B (38.3% Red) · CP: 42R/17B (71.2% 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).

ASC03 Hand #75 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #74 of ASC03.

ASC03 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC03 Scoreboard Structure: C1:3B · C2:4P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P

In catalog shoe ASC03 (seed 204503), 74 total hands resolve into 35 Banker wins, 33 Player wins, and 6 Ties across 29 logical columns (C1:3B · C2:4P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P). 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 ASC03 column by column shows peak runs of 5B and 4P spreading across 29 Big Road display columns: ASC03 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 37 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC03 (Seed 204503)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC03-C01 (H1–H4)3B (BBB) [ASC03]3B/0P (+1T @ASC03-C1)ASC03 Row3 Stop (Col1)NextColVsASC03-C1: 3v3
ASC03-C02 (H5–H8)4P (PPPP) [ASC03]3B/4P (+0T @ASC03-C2)ASC03 Row4 Stop (Col2)NextColVsASC03-C1: 4v3
ASC03-C03 (H9–H9)1B (B) [ASC03]4B/4P (+0T @ASC03-C3)ASC03 Row1 Stop (Col3)NextColVsASC03-C2: 1v4
ASC03-C04 (H10–H11)2P (PP) [ASC03]4B/6P (+0T @ASC03-C4)ASC03 Row2 Stop (Col4)NextColVsASC03-C3: 2v1
ASC03-C05 (H12–H15)3B (BBB) [ASC03]7B/6P (+1T @ASC03-C5)ASC03 Row3 Stop (Col5)NextColVsASC03-C4: 3v2
ASC03-C06 (H16–H19)4P (PPPP) [ASC03]7B/10P (+0T @ASC03-C6)ASC03 Row4 Stop (Col6)NextColVsASC03-C5: 4v3
ASC03-C07 (H20–H25)5B (BBBBB) [ASC03]12B/10P (+1T @ASC03-C7)ASC03 Row5 Stop (Col7)NextColVsASC03-C6: 5v4
ASC03-C08 (H26–H28)3P (PPP) [ASC03]12B/13P (+0T @ASC03-C8)ASC03 Row3 Stop (Col8)NextColVsASC03-C7: 3v5
ASC03-C09 (H29–H29)1B (B) [ASC03]13B/13P (+0T @ASC03-C9)ASC03 Row1 Stop (Col9)NextColVsASC03-C8: 1v3
ASC03-C10 (H30–H31)2P (PP) [ASC03]13B/15P (+0T @ASC03-C10)ASC03 Row2 Stop (Col10)NextColVsASC03-C9: 2v1
  • ASC03 BEB #5 (BLUE): verified at ASC03 lookback-1 index 4 (21R/43B total).
  • ASC03 SR #4 (BLUE): verified at ASC03 lookback-2 index 3 (23R/37B total).
  • ASC03 CP #3 (RED): verified at ASC03 lookback-3 index 2 (42R/17B total).
ASC03 DERIVED-ROAD & CUT-CARD PROBE

ASC03 Lookback Split (21R/43B BEB · 23R/37B SR · 42R/17B 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 ASC03, Big Eye Boy prints 21 Red (32.8%) and 43 Blue marks, Small Road prints 23 Red (38.3%) and 37 Blue marks, and Cockroach Pig prints 42 Red (71.2%) and 17 Blue marks.

At the ASC03 cut card after Hand #74, probing Hand #75 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC03.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC03 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 ASC03, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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