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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC33 (SEED 204533)

Ascending Staircase Shoe ASC33: 80-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC33 (seed 204533) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 80 dealt 8-deck hands (41 Banker, 33 Player, 6 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P) and generate 72 Big Eye Boy marks (22R/50B), 70 Small Road marks (26R/44B), and 67 Cockroach Pig marks (47R/20B).

Verified 8-Deck Hands
80 (ASC33)
Outcome Split
41B / 33P / 6T
Peak Streaks
5B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 80 Hands

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

ASC33 (seed 204533): 80 hands (41B / 33P / 6T), peak streaks 5B & 4P across 33 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)
ASC33 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.

ASC33 Small Road Entry #4

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

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

ASC33 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

ASC33 8-Deck Hand Distribution
80 Hands (41 Banker / 33 Player / 6 Tie)

Seed 204533 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P.

ASC33 Big Road Span & Max Streaks
Max 5B / Max 4P Across 33 Logical Cols (33 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.

ASC33 Big Eye Boy Rule Breakdown
72 Marks (22R / 50B · 30.6% Red across 39 Display Cols)

Rule 1: 31 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 41.

ASC33 Small Road & Cockroach Pig Tally
SR: 26R/44B (37.1% Red) · CP: 47R/20B (70.1% 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).

ASC33 Hand #81 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #80 of ASC33.

ASC33 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC33 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P

In catalog shoe ASC33 (seed 204533), 80 total hands resolve into 41 Banker wins, 33 Player wins, and 6 Ties across 33 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · 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 ASC33 column by column shows peak runs of 5B and 4P spreading across 33 Big Road display columns: ASC33 records 31 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 41 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC33 (Seed 204533)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC33-C01 (H1–H1)1B (B) [ASC33]1B/0P (+0T @ASC33-C1)ASC33 Row1 Stop (Col1)NextColVsASC33-C1: 1v1
ASC33-C02 (H2–H4)2P (PP) [ASC33]1B/2P (+1T @ASC33-C2)ASC33 Row2 Stop (Col2)NextColVsASC33-C1: 2v1
ASC33-C03 (H5–H7)3B (BBB) [ASC33]4B/2P (+0T @ASC33-C3)ASC33 Row3 Stop (Col3)NextColVsASC33-C2: 3v2
ASC33-C04 (H8–H11)4P (PPPP) [ASC33]4B/6P (+0T @ASC33-C4)ASC33 Row4 Stop (Col4)NextColVsASC33-C3: 4v3
ASC33-C05 (H12–H17)5B (BBBBB) [ASC33]9B/6P (+1T @ASC33-C5)ASC33 Row5 Stop (Col5)NextColVsASC33-C4: 5v4
ASC33-C06 (H18–H18)1P (P) [ASC33]9B/7P (+0T @ASC33-C6)ASC33 Row1 Stop (Col6)NextColVsASC33-C5: 1v5
ASC33-C07 (H19–H21)3B (BBB) [ASC33]12B/7P (+0T @ASC33-C7)ASC33 Row3 Stop (Col7)NextColVsASC33-C6: 3v1
ASC33-C08 (H22–H23)2P (PP) [ASC33]12B/9P (+0T @ASC33-C8)ASC33 Row2 Stop (Col8)NextColVsASC33-C7: 2v3
ASC33-C09 (H24–H28)4B (BBBB) [ASC33]16B/9P (+1T @ASC33-C9)ASC33 Row4 Stop (Col9)NextColVsASC33-C8: 4v2
ASC33-C10 (H29–H29)1P (P) [ASC33]16B/10P (+0T @ASC33-C10)ASC33 Row1 Stop (Col10)NextColVsASC33-C9: 1v4
  • ASC33 BEB #5 (BLUE): verified at ASC33 lookback-1 index 4 (22R/50B total).
  • ASC33 SR #4 (RED): verified at ASC33 lookback-2 index 3 (26R/44B total).
  • ASC33 CP #1 (BLUE): verified at ASC33 lookback-3 index 0 (47R/20B total).
ASC33 DERIVED-ROAD & CUT-CARD PROBE

ASC33 Lookback Split (22R/50B BEB · 26R/44B SR · 47R/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 ASC33, Big Eye Boy prints 22 Red (30.6%) and 50 Blue marks, Small Road prints 26 Red (37.1%) and 44 Blue marks, and Cockroach Pig prints 47 Red (70.1%) and 20 Blue marks.

At the ASC33 cut card after Hand #80, probing Hand #81 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC33.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC33 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 ASC33, 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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