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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC09 (SEED 204509)

Ascending Staircase Shoe ASC09: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC09 (seed 204509) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 68 dealt 8-deck hands (32 Banker, 29 Player, 7 Tie). Its 26 logical Big Road columns occupy 26 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:2P · C7:3B · C8:1P) and generate 59 Big Eye Boy marks (19R/40B), 57 Small Road marks (23R/34B), and 54 Cockroach Pig marks (38R/16B).

Verified 8-Deck Hands
68 (ASC09)
Outcome Split
32B / 29P / 7T
Peak Streaks
5B · 4P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 68 Hands

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

ASC09 (seed 204509): 68 hands (32B / 29P / 7T), peak streaks 5B & 4P across 26 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)
ASC09 Big Eye Boy Entry #5

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

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

ASC09 Small Road Entry #5

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

  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 2, 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.

ASC09 Cockroach Pig Entry #1

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

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

Verified Reference Data

Key Facts & Table Specifications

ASC09 8-Deck Hand Distribution
68 Hands (32 Banker / 29 Player / 7 Tie)

Seed 204509 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:2P · C7:3B · C8:1P.

ASC09 Big Road Span & Max Streaks
Max 5B / Max 4P Across 26 Logical Cols (26 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.

ASC09 Big Eye Boy Rule Breakdown
59 Marks (19R / 40B · 32.2% Red across 33 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

ASC09 Small Road & Cockroach Pig Tally
SR: 23R/34B (40.4% Red) · CP: 38R/16B (70.4% 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).

ASC09 Hand #69 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #68 of ASC09.

ASC09 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC09 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:2P · C7:3B · C8:1P

In catalog shoe ASC09 (seed 204509), 68 total hands resolve into 32 Banker wins, 29 Player wins, and 7 Ties across 26 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:2P · C7:3B · C8:1P). 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 ASC09 column by column shows peak runs of 5B and 4P spreading across 26 Big Road display columns: ASC09 records 24 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC09 (Seed 204509)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC09-C01 (H1–H2)1B (B) [ASC09]1B/0P (+1T @ASC09-C1)ASC09 Row1 Stop (Col1)NextColVsASC09-C1: 1v1
ASC09-C02 (H3–H4)2P (PP) [ASC09]1B/2P (+0T @ASC09-C2)ASC09 Row2 Stop (Col2)NextColVsASC09-C1: 2v1
ASC09-C03 (H5–H7)3B (BBB) [ASC09]4B/2P (+0T @ASC09-C3)ASC09 Row3 Stop (Col3)NextColVsASC09-C2: 3v2
ASC09-C04 (H8–H12)4P (PPPP) [ASC09]4B/6P (+1T @ASC09-C4)ASC09 Row4 Stop (Col4)NextColVsASC09-C3: 4v3
ASC09-C05 (H13–H18)5B (BBBBB) [ASC09]9B/6P (+1T @ASC09-C5)ASC09 Row5 Stop (Col5)NextColVsASC09-C4: 5v4
ASC09-C06 (H19–H20)2P (PP) [ASC09]9B/8P (+0T @ASC09-C6)ASC09 Row2 Stop (Col6)NextColVsASC09-C5: 2v5
ASC09-C07 (H21–H23)3B (BBB) [ASC09]12B/8P (+0T @ASC09-C7)ASC09 Row3 Stop (Col7)NextColVsASC09-C6: 3v2
ASC09-C08 (H24–H24)1P (P) [ASC09]12B/9P (+0T @ASC09-C8)ASC09 Row1 Stop (Col8)NextColVsASC09-C7: 1v3
ASC09-C09 (H25–H27)2B (BB) [ASC09]14B/9P (+1T @ASC09-C9)ASC09 Row2 Stop (Col9)NextColVsASC09-C8: 2v1
ASC09-C10 (H28–H31)4P (PPPP) [ASC09]14B/13P (+0T @ASC09-C10)ASC09 Row4 Stop (Col10)NextColVsASC09-C9: 4v2
  • ASC09 BEB #5 (BLUE): verified at ASC09 lookback-1 index 4 (19R/40B total).
  • ASC09 SR #5 (BLUE): verified at ASC09 lookback-2 index 4 (23R/34B total).
  • ASC09 CP #1 (BLUE): verified at ASC09 lookback-3 index 0 (38R/16B total).
ASC09 DERIVED-ROAD & CUT-CARD PROBE

ASC09 Lookback Split (19R/40B BEB · 23R/34B SR · 38R/16B 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 ASC09, Big Eye Boy prints 19 Red (32.2%) and 40 Blue marks, Small Road prints 23 Red (40.4%) and 34 Blue marks, and Cockroach Pig prints 38 Red (70.4%) and 16 Blue marks.

At the ASC09 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC09.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC09 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 ASC09, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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