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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC36 (SEED 204536)

Ascending Staircase Shoe ASC36: 77-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC36 (seed 204536) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 77 dealt 8-deck hands (36 Banker, 37 Player, 4 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:1P · C2:1B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B) and generate 71 Big Eye Boy marks (26R/45B), 70 Small Road marks (28R/42B), and 69 Cockroach Pig marks (45R/24B).

Verified 8-Deck Hands
77 (ASC36)
Outcome Split
36B / 37P / 4T
Peak Streaks
5B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 77 Hands

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

ASC36 (seed 204536): 77 hands (36B / 37P / 4T), 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)
ASC36 Big Eye Boy Entry #8

Column 6 has 3 beads. Column 5 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 5, 1 column further back.
  2. Column 6 has 3 beads. Column 5 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 5.

ASC36 Small Road Entry #2

Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

ASC36 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

ASC36 8-Deck Hand Distribution
77 Hands (36 Banker / 37 Player / 4 Tie)

Seed 204536 opening column signature: C1:1P · C2:1B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B.

ASC36 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.

ASC36 Big Eye Boy Rule Breakdown
71 Marks (26R / 45B · 36.6% Red across 39 Display Cols)

Rule 1: 31 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 40.

ASC36 Small Road & Cockroach Pig Tally
SR: 28R/42B (40.0% Red) · CP: 45R/24B (65.2% 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).

ASC36 Hand #78 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #77 of ASC36.

ASC36 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC36 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:1B · C5:2P · C6:3B · C7:4P · C8:5B

In catalog shoe ASC36 (seed 204536), 77 total hands resolve into 36 Banker wins, 37 Player wins, and 4 Ties across 33 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 ASC36 column by column shows peak runs of 5B and 4P spreading across 33 Big Road display columns: ASC36 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 40 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC36 (Seed 204536)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC36-C01 (H1–H1)1P (P) [ASC36]0B/1P (+0T @ASC36-C1)ASC36 Row1 Stop (Col1)NextColVsASC36-C1: 1v1
ASC36-C02 (H2–H2)1B (B) [ASC36]1B/1P (+0T @ASC36-C2)ASC36 Row1 Stop (Col2)NextColVsASC36-C1: 1v1
ASC36-C03 (H3–H3)1P (P) [ASC36]1B/2P (+0T @ASC36-C3)ASC36 Row1 Stop (Col3)NextColVsASC36-C2: 1v1
ASC36-C04 (H4–H4)1B (B) [ASC36]2B/2P (+0T @ASC36-C4)ASC36 Row1 Stop (Col4)NextColVsASC36-C3: 1v1
ASC36-C05 (H5–H6)2P (PP) [ASC36]2B/4P (+0T @ASC36-C5)ASC36 Row2 Stop (Col5)NextColVsASC36-C4: 2v1
ASC36-C06 (H7–H10)3B (BBB) [ASC36]5B/4P (+1T @ASC36-C6)ASC36 Row3 Stop (Col6)NextColVsASC36-C5: 3v2
ASC36-C07 (H11–H14)4P (PPPP) [ASC36]5B/8P (+0T @ASC36-C7)ASC36 Row4 Stop (Col7)NextColVsASC36-C6: 4v3
ASC36-C08 (H15–H19)5B (BBBBB) [ASC36]10B/8P (+0T @ASC36-C8)ASC36 Row5 Stop (Col8)NextColVsASC36-C7: 5v4
ASC36-C09 (H20–H23)3P (PPP) [ASC36]10B/11P (+1T @ASC36-C9)ASC36 Row3 Stop (Col9)NextColVsASC36-C8: 3v5
ASC36-C10 (H24–H24)1B (B) [ASC36]11B/11P (+0T @ASC36-C10)ASC36 Row1 Stop (Col10)NextColVsASC36-C9: 1v3
  • ASC36 BEB #8 (BLUE): verified at ASC36 lookback-1 index 7 (26R/45B total).
  • ASC36 SR #2 (RED): verified at ASC36 lookback-2 index 1 (28R/42B total).
  • ASC36 CP #4 (BLUE): verified at ASC36 lookback-3 index 3 (45R/24B total).
ASC36 DERIVED-ROAD & CUT-CARD PROBE

ASC36 Lookback Split (26R/45B BEB · 28R/42B SR · 45R/24B 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 ASC36, Big Eye Boy prints 26 Red (36.6%) and 45 Blue marks, Small Road prints 28 Red (40.0%) and 42 Blue marks, and Cockroach Pig prints 45 Red (65.2%) and 24 Blue marks.

At the ASC36 cut card after Hand #77, probing Hand #78 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC36.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC36 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 ASC36, 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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