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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC39 (SEED 204539)

Ascending Staircase Shoe ASC39: 74-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC39 (seed 204539) 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, 32 Player, 7 Tie). Its 30 logical Big Road columns occupy 30 display columns (C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P) and generate 65 Big Eye Boy marks (22R/43B), 64 Small Road marks (26R/38B), and 63 Cockroach Pig marks (43R/20B).

Verified 8-Deck Hands
74 (ASC39)
Outcome Split
35B / 32P / 7T
Peak Streaks
5B · 4P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 74 Hands

Read the Board at Table Speed

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

ASC39 (seed 204539): 74 hands (35B / 32P / 7T), peak streaks 5B & 4P across 30 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)
ASC39 Big Eye Boy Entry #5

This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

ASC39 Small Road Entry #5

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

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

ASC39 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

ASC39 8-Deck Hand Distribution
74 Hands (35 Banker / 32 Player / 7 Tie)

Seed 204539 opening column signature: C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P.

ASC39 Big Road Span & Max Streaks
Max 5B / Max 4P Across 30 Logical Cols (30 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.

ASC39 Big Eye Boy Rule Breakdown
65 Marks (22R / 43B · 33.8% Red across 36 Display Cols)

Rule 1: 28 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

ASC39 Small Road & Cockroach Pig Tally
SR: 26R/38B (40.6% Red) · CP: 43R/20B (68.3% 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).

ASC39 Hand #75 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #74 of ASC39.

ASC39 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC39 Scoreboard Structure: C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:2P

In catalog shoe ASC39 (seed 204539), 74 total hands resolve into 35 Banker wins, 32 Player wins, and 7 Ties across 30 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 ASC39 column by column shows peak runs of 5B and 4P spreading across 30 Big Road display columns: ASC39 records 28 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 ASC39 (Seed 204539)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC39-C01 (H1–H1)1B (B) [ASC39]1B/0P (+0T @ASC39-C1)ASC39 Row1 Stop (Col1)NextColVsASC39-C1: 1v1
ASC39-C02 (H2–H2)1P (P) [ASC39]1B/1P (+0T @ASC39-C2)ASC39 Row1 Stop (Col2)NextColVsASC39-C1: 1v1
ASC39-C03 (H3–H3)1B (B) [ASC39]2B/1P (+0T @ASC39-C3)ASC39 Row1 Stop (Col3)NextColVsASC39-C2: 1v1
ASC39-C04 (H4–H5)2P (PP) [ASC39]2B/3P (+0T @ASC39-C4)ASC39 Row2 Stop (Col4)NextColVsASC39-C3: 2v1
ASC39-C05 (H6–H9)3B (BBB) [ASC39]5B/3P (+1T @ASC39-C5)ASC39 Row3 Stop (Col5)NextColVsASC39-C4: 3v2
ASC39-C06 (H10–H13)4P (PPPP) [ASC39]5B/7P (+0T @ASC39-C6)ASC39 Row4 Stop (Col6)NextColVsASC39-C5: 4v3
ASC39-C07 (H14–H19)5B (BBBBB) [ASC39]10B/7P (+1T @ASC39-C7)ASC39 Row5 Stop (Col7)NextColVsASC39-C6: 5v4
ASC39-C08 (H20–H21)2P (PP) [ASC39]10B/9P (+0T @ASC39-C8)ASC39 Row2 Stop (Col8)NextColVsASC39-C7: 2v5
ASC39-C09 (H22–H26)4B (BBBB) [ASC39]14B/9P (+1T @ASC39-C9)ASC39 Row4 Stop (Col9)NextColVsASC39-C8: 4v2
ASC39-C10 (H27–H27)1P (P) [ASC39]14B/10P (+0T @ASC39-C10)ASC39 Row1 Stop (Col10)NextColVsASC39-C9: 1v4
  • ASC39 BEB #5 (RED): verified at ASC39 lookback-1 index 4 (22R/43B total).
  • ASC39 SR #5 (RED): verified at ASC39 lookback-2 index 4 (26R/38B total).
  • ASC39 CP #3 (BLUE): verified at ASC39 lookback-3 index 2 (43R/20B total).
ASC39 DERIVED-ROAD & CUT-CARD PROBE

ASC39 Lookback Split (22R/43B BEB · 26R/38B SR · 43R/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 ASC39, Big Eye Boy prints 22 Red (33.8%) and 43 Blue marks, Small Road prints 26 Red (40.6%) and 38 Blue marks, and Cockroach Pig prints 43 Red (68.3%) and 20 Blue marks.

At the ASC39 cut card after Hand #74, probing Hand #75 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC39.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC39 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 ASC39, 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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