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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC18 (SEED 204518)

Ascending Staircase Shoe ASC18: 77-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC18 (seed 204518) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 77 dealt 8-deck hands (33 Banker, 38 Player, 6 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B) and generate 68 Big Eye Boy marks (21R/47B), 67 Small Road marks (29R/38B), and 65 Cockroach Pig marks (45R/20B).

Verified 8-Deck Hands
77 (ASC18)
Outcome Split
33B / 38P / 6T
Peak Streaks
5B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 77 Hands

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

ASC18 (seed 204518): 77 hands (33B / 38P / 6T), peak streaks 5B & 4P across 31 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)
ASC18 Big Eye Boy Entry #8

This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).

  1. Column 5 goes down to Row 3, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 has a bead at Row 3 too → 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.

ASC18 Small Road Entry #4

This bead is at Row 3. Column 2 stopped at Row 1, more than one row above → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

ASC18 Cockroach Pig Entry #2

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC18 8-Deck Hand Distribution
77 Hands (33 Banker / 38 Player / 6 Tie)

Seed 204518 opening column signature: C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B.

ASC18 Big Road Span & Max Streaks
Max 5B / Max 4P Across 31 Logical Cols (31 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.

ASC18 Big Eye Boy Rule Breakdown
68 Marks (21R / 47B · 30.9% Red across 33 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

ASC18 Small Road & Cockroach Pig Tally
SR: 29R/38B (43.3% Red) · CP: 45R/20B (69.2% 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).

ASC18 Hand #78 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #77 of ASC18.

ASC18 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC18 Scoreboard Structure: C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B

In catalog shoe ASC18 (seed 204518), 77 total hands resolve into 33 Banker wins, 38 Player wins, and 6 Ties across 31 logical columns (C1:2P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:4P · C8:1B). 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 ASC18 column by column shows peak runs of 5B and 4P spreading across 31 Big Road display columns: ASC18 records 29 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 39 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC18 (Seed 204518)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC18-C01 (H1–H2)2P (PP) [ASC18]0B/2P (+0T @ASC18-C1)ASC18 Row2 Stop (Col1)NextColVsASC18-C1: 2v2
ASC18-C02 (H3–H3)1B (B) [ASC18]1B/2P (+0T @ASC18-C2)ASC18 Row1 Stop (Col2)NextColVsASC18-C1: 1v2
ASC18-C03 (H4–H5)2P (PP) [ASC18]1B/4P (+0T @ASC18-C3)ASC18 Row2 Stop (Col3)NextColVsASC18-C2: 2v1
ASC18-C04 (H6–H9)3B (BBB) [ASC18]4B/4P (+1T @ASC18-C4)ASC18 Row3 Stop (Col4)NextColVsASC18-C3: 3v2
ASC18-C05 (H10–H13)4P (PPPP) [ASC18]4B/8P (+0T @ASC18-C5)ASC18 Row4 Stop (Col5)NextColVsASC18-C4: 4v3
ASC18-C06 (H14–H19)5B (BBBBB) [ASC18]9B/8P (+1T @ASC18-C6)ASC18 Row5 Stop (Col6)NextColVsASC18-C5: 5v4
ASC18-C07 (H20–H23)4P (PPPP) [ASC18]9B/12P (+0T @ASC18-C7)ASC18 Row4 Stop (Col7)NextColVsASC18-C6: 4v5
ASC18-C08 (H24–H24)1B (B) [ASC18]10B/12P (+0T @ASC18-C8)ASC18 Row1 Stop (Col8)NextColVsASC18-C7: 1v4
ASC18-C09 (H25–H26)2P (PP) [ASC18]10B/14P (+0T @ASC18-C9)ASC18 Row2 Stop (Col9)NextColVsASC18-C8: 2v1
ASC18-C10 (H27–H30)3B (BBB) [ASC18]13B/14P (+1T @ASC18-C10)ASC18 Row3 Stop (Col10)NextColVsASC18-C9: 3v2
  • ASC18 BEB #8 (RED): verified at ASC18 lookback-1 index 7 (21R/47B total).
  • ASC18 SR #4 (RED): verified at ASC18 lookback-2 index 3 (29R/38B total).
  • ASC18 CP #2 (BLUE): verified at ASC18 lookback-3 index 1 (45R/20B total).
ASC18 DERIVED-ROAD & CUT-CARD PROBE

ASC18 Lookback Split (21R/47B BEB · 29R/38B SR · 45R/20B 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 ASC18, Big Eye Boy prints 21 Red (30.9%) and 47 Blue marks, Small Road prints 29 Red (43.3%) and 38 Blue marks, and Cockroach Pig prints 45 Red (69.2%) and 20 Blue marks.

At the ASC18 cut card after Hand #77, probing Hand #78 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC18.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC18 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 ASC18, 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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