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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC20 (SEED 204520)

Ascending Staircase Shoe ASC20: 69-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC20 (seed 204520) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 69 dealt 8-deck hands (30 Banker, 31 Player, 8 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:1P · C2:1B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 59 Big Eye Boy marks (22R/37B), 58 Small Road marks (23R/35B), and 57 Cockroach Pig marks (38R/19B).

Verified 8-Deck Hands
69 (ASC20)
Outcome Split
30B / 31P / 8T
Peak Streaks
5B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 69 Hands

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

ASC20 (seed 204520): 69 hands (30B / 31P / 8T), peak streaks 5B & 4P across 28 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)
ASC20 Big Eye Boy Entry #4

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.

ASC20 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.

ASC20 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

ASC20 8-Deck Hand Distribution
69 Hands (30 Banker / 31 Player / 8 Tie)

Seed 204520 opening column signature: C1:1P · C2:1B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC20 Big Road Span & Max Streaks
Max 5B / Max 4P Across 28 Logical Cols (28 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.

ASC20 Big Eye Boy Rule Breakdown
59 Marks (22R / 37B · 37.3% Red across 31 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

ASC20 Small Road & Cockroach Pig Tally
SR: 23R/35B (39.7% Red) · CP: 38R/19B (66.7% 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).

ASC20 Hand #70 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #69 of ASC20.

ASC20 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC20 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC20 (seed 204520), 69 total hands resolve into 30 Banker wins, 31 Player wins, and 8 Ties across 28 logical columns (C1:1P · C2:1B · 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 ASC20 column by column shows peak runs of 5B and 4P spreading across 28 Big Road display columns: ASC20 records 26 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 ASC20 (Seed 204520)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC20-C01 (H1–H2)1P (P) [ASC20]0B/1P (+1T @ASC20-C1)ASC20 Row1 Stop (Col1)NextColVsASC20-C1: 1v1
ASC20-C02 (H3–H3)1B (B) [ASC20]1B/1P (+0T @ASC20-C2)ASC20 Row1 Stop (Col2)NextColVsASC20-C1: 1v1
ASC20-C03 (H4–H4)1P (P) [ASC20]1B/2P (+0T @ASC20-C3)ASC20 Row1 Stop (Col3)NextColVsASC20-C2: 1v1
ASC20-C04 (H5–H5)1B (B) [ASC20]2B/2P (+0T @ASC20-C4)ASC20 Row1 Stop (Col4)NextColVsASC20-C3: 1v1
ASC20-C05 (H6–H7)2P (PP) [ASC20]2B/4P (+0T @ASC20-C5)ASC20 Row2 Stop (Col5)NextColVsASC20-C4: 2v1
ASC20-C06 (H8–H11)3B (BBB) [ASC20]5B/4P (+1T @ASC20-C6)ASC20 Row3 Stop (Col6)NextColVsASC20-C5: 3v2
ASC20-C07 (H12–H16)4P (PPPP) [ASC20]5B/8P (+1T @ASC20-C7)ASC20 Row4 Stop (Col7)NextColVsASC20-C6: 4v3
ASC20-C08 (H17–H21)5B (BBBBB) [ASC20]10B/8P (+0T @ASC20-C8)ASC20 Row5 Stop (Col8)NextColVsASC20-C7: 5v4
ASC20-C09 (H22–H25)3P (PPP) [ASC20]10B/11P (+1T @ASC20-C9)ASC20 Row3 Stop (Col9)NextColVsASC20-C8: 3v5
ASC20-C10 (H26–H26)1B (B) [ASC20]11B/11P (+0T @ASC20-C10)ASC20 Row1 Stop (Col10)NextColVsASC20-C9: 1v3
  • ASC20 BEB #4 (BLUE): verified at ASC20 lookback-1 index 3 (22R/37B total).
  • ASC20 SR #6 (RED): verified at ASC20 lookback-2 index 5 (23R/35B total).
  • ASC20 CP #4 (BLUE): verified at ASC20 lookback-3 index 3 (38R/19B total).
ASC20 DERIVED-ROAD & CUT-CARD PROBE

ASC20 Lookback Split (22R/37B BEB · 23R/35B SR · 38R/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 ASC20, Big Eye Boy prints 22 Red (37.3%) and 37 Blue marks, Small Road prints 23 Red (39.7%) and 35 Blue marks, and Cockroach Pig prints 38 Red (66.7%) and 19 Blue marks.

At the ASC20 cut card after Hand #69, probing Hand #70 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC20.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC20 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 ASC20, 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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