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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC37 (SEED 204537)

Ascending Staircase Shoe ASC37: 82-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC37 (seed 204537) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 82 dealt 8-deck hands (37 Banker, 40 Player, 5 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:4B · C8:1P) and generate 75 Big Eye Boy marks (29R/46B), 73 Small Road marks (30R/43B), and 70 Cockroach Pig marks (50R/20B).

Verified 8-Deck Hands
82 (ASC37)
Outcome Split
37B / 40P / 5T
Peak Streaks
5B · 6P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 82 Hands

Read the Board at Table Speed

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

ASC37 (seed 204537): 82 hands (37B / 40P / 5T), peak streaks 5B & 6P across 31 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)
ASC37 Big Eye Boy Entry #3

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

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column 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.

ASC37 Small Road Entry #3

Column 3 has 3 beads. Column 1 has 1 bead. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 3 beads. Column 1 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

ASC37 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

ASC37 8-Deck Hand Distribution
82 Hands (37 Banker / 40 Player / 5 Tie)

Seed 204537 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:4B · C8:1P.

ASC37 Big Road Span & Max Streaks
Max 5B / Max 6P Across 31 Logical Cols (31 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.

ASC37 Big Eye Boy Rule Breakdown
75 Marks (29R / 46B · 38.7% Red across 43 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 46.

ASC37 Small Road & Cockroach Pig Tally
SR: 30R/43B (41.1% Red) · CP: 50R/20B (71.4% 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).

ASC37 Hand #83 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #82 of ASC37.

ASC37 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC37 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:4B · C8:1P

In catalog shoe ASC37 (seed 204537), 82 total hands resolve into 37 Banker wins, 40 Player wins, and 5 Ties across 31 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:4B · 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 ASC37 column by column shows peak runs of 5B and 6P spreading across 31 Big Road display columns: ASC37 records 29 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 46 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC37 (Seed 204537)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC37-C01 (H1–H1)1B (B) [ASC37]1B/0P (+0T @ASC37-C1)ASC37 Row1 Stop (Col1)NextColVsASC37-C1: 1v1
ASC37-C02 (H2–H3)2P (PP) [ASC37]1B/2P (+0T @ASC37-C2)ASC37 Row2 Stop (Col2)NextColVsASC37-C1: 2v1
ASC37-C03 (H4–H6)3B (BBB) [ASC37]4B/2P (+0T @ASC37-C3)ASC37 Row3 Stop (Col3)NextColVsASC37-C2: 3v2
ASC37-C04 (H7–H10)4P (PPPP) [ASC37]4B/6P (+0T @ASC37-C4)ASC37 Row4 Stop (Col4)NextColVsASC37-C3: 4v3
ASC37-C05 (H11–H16)5B (BBBBB) [ASC37]9B/6P (+1T @ASC37-C5)ASC37 Row5 Stop (Col5)NextColVsASC37-C4: 5v4
ASC37-C06 (H17–H22)6P (PPPPPP) [ASC37]9B/12P (+0T @ASC37-C6)ASC37 Row6 Stop (Col6)NextColVsASC37-C5: 6v5
ASC37-C07 (H23–H27)4B (BBBB) [ASC37]13B/12P (+1T @ASC37-C7)ASC37 Row4 Stop (Col7)NextColVsASC37-C6: 4v6
ASC37-C08 (H28–H28)1P (P) [ASC37]13B/13P (+0T @ASC37-C8)ASC37 Row1 Stop (Col8)NextColVsASC37-C7: 1v4
ASC37-C09 (H29–H31)3B (BBB) [ASC37]16B/13P (+0T @ASC37-C9)ASC37 Row3 Stop (Col9)NextColVsASC37-C8: 3v1
ASC37-C10 (H32–H33)2P (PP) [ASC37]16B/15P (+0T @ASC37-C10)ASC37 Row2 Stop (Col10)NextColVsASC37-C9: 2v3
  • ASC37 BEB #3 (RED): verified at ASC37 lookback-1 index 2 (29R/46B total).
  • ASC37 SR #3 (BLUE): verified at ASC37 lookback-2 index 2 (30R/43B total).
  • ASC37 CP #1 (BLUE): verified at ASC37 lookback-3 index 0 (50R/20B total).
ASC37 DERIVED-ROAD & CUT-CARD PROBE

ASC37 Lookback Split (29R/46B BEB · 30R/43B SR · 50R/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 ASC37, Big Eye Boy prints 29 Red (38.7%) and 46 Blue marks, Small Road prints 30 Red (41.1%) and 43 Blue marks, and Cockroach Pig prints 50 Red (71.4%) and 20 Blue marks.

At the ASC37 cut card after Hand #82, probing Hand #83 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for ASC37.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC37 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 ASC37, 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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