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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC30 (SEED 204530)

Ascending Staircase Shoe ASC30: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC30 (seed 204530) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 65 dealt 8-deck hands (28 Banker, 29 Player, 8 Tie). Its 25 logical Big Road columns occupy 25 display columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B) and generate 55 Big Eye Boy marks (18R/37B), 54 Small Road marks (20R/34B), and 52 Cockroach Pig marks (34R/18B).

Verified 8-Deck Hands
65 (ASC30)
Outcome Split
28B / 29P / 8T
Peak Streaks
5B · 4P
Big Road Columns
25 Cols
Engine-Verified Scoreboard · 65 Hands

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

ASC30 (seed 204530): 65 hands (28B / 29P / 8T), peak streaks 5B & 4P across 25 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)
ASC30 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.

ASC30 Small Road Entry #6

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

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

ASC30 Cockroach Pig Entry #2

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

  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 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

ASC30 8-Deck Hand Distribution
65 Hands (28 Banker / 29 Player / 8 Tie)

Seed 204530 opening column signature: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B.

ASC30 Big Road Span & Max Streaks
Max 5B / Max 4P Across 25 Logical Cols (25 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.

ASC30 Big Eye Boy Rule Breakdown
55 Marks (18R / 37B · 32.7% Red across 30 Display Cols)

Rule 1: 23 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

ASC30 Small Road & Cockroach Pig Tally
SR: 20R/34B (37.0% Red) · CP: 34R/18B (65.4% 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).

ASC30 Hand #66 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #65 of ASC30.

ASC30 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC30 Scoreboard Structure: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B

In catalog shoe ASC30 (seed 204530), 65 total hands resolve into 28 Banker wins, 29 Player wins, and 8 Ties across 25 logical columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B). 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 ASC30 column by column shows peak runs of 5B and 4P spreading across 25 Big Road display columns: ASC30 records 23 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 32 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC30 (Seed 204530)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC30-C01 (H1–H1)1P (P) [ASC30]0B/1P (+0T @ASC30-C1)ASC30 Row1 Stop (Col1)NextColVsASC30-C1: 1v1
ASC30-C02 (H2–H2)1B (B) [ASC30]1B/1P (+0T @ASC30-C2)ASC30 Row1 Stop (Col2)NextColVsASC30-C1: 1v1
ASC30-C03 (H3–H4)2P (PP) [ASC30]1B/3P (+0T @ASC30-C3)ASC30 Row2 Stop (Col3)NextColVsASC30-C2: 2v1
ASC30-C04 (H5–H8)3B (BBB) [ASC30]4B/3P (+1T @ASC30-C4)ASC30 Row3 Stop (Col4)NextColVsASC30-C3: 3v2
ASC30-C05 (H9–H13)4P (PPPP) [ASC30]4B/7P (+1T @ASC30-C5)ASC30 Row4 Stop (Col5)NextColVsASC30-C4: 4v3
ASC30-C06 (H14–H18)5B (BBBBB) [ASC30]9B/7P (+0T @ASC30-C6)ASC30 Row5 Stop (Col6)NextColVsASC30-C5: 5v4
ASC30-C07 (H19–H20)1P (P) [ASC30]9B/8P (+1T @ASC30-C7)ASC30 Row1 Stop (Col7)NextColVsASC30-C6: 1v5
ASC30-C08 (H21–H22)2B (BB) [ASC30]11B/8P (+0T @ASC30-C8)ASC30 Row2 Stop (Col8)NextColVsASC30-C7: 2v1
ASC30-C09 (H23–H25)3P (PPP) [ASC30]11B/11P (+0T @ASC30-C9)ASC30 Row3 Stop (Col9)NextColVsASC30-C8: 3v2
ASC30-C10 (H26–H27)1B (B) [ASC30]12B/11P (+1T @ASC30-C10)ASC30 Row1 Stop (Col10)NextColVsASC30-C9: 1v3
  • ASC30 BEB #8 (RED): verified at ASC30 lookback-1 index 7 (18R/37B total).
  • ASC30 SR #6 (RED): verified at ASC30 lookback-2 index 5 (20R/34B total).
  • ASC30 CP #2 (RED): verified at ASC30 lookback-3 index 1 (34R/18B total).
ASC30 DERIVED-ROAD & CUT-CARD PROBE

ASC30 Lookback Split (18R/37B BEB · 20R/34B SR · 34R/18B 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 ASC30, Big Eye Boy prints 18 Red (32.7%) and 37 Blue marks, Small Road prints 20 Red (37.0%) and 34 Blue marks, and Cockroach Pig prints 34 Red (65.4%) and 18 Blue marks.

At the ASC30 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC30.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC30 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 ASC30, 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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