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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC07 (SEED 204507)

Ascending Staircase Shoe ASC07: 76-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC07 (seed 204507) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 76 dealt 8-deck hands (33 Banker, 38 Player, 5 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 · C8:6P) and generate 69 Big Eye Boy marks (26R/43B), 68 Small Road marks (29R/39B), and 67 Cockroach Pig marks (44R/23B).

Verified 8-Deck Hands
76 (ASC07)
Outcome Split
33B / 38P / 5T
Peak Streaks
5B · 6P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 76 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 P P P P B B P P P B P P B B B P B B P P B P P B B B B P B B P P B P P P B B P P P P B P P B B B P
Big Eye Boy = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = = ≠ ≠ = = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠
Small Road = ≠ ≠ ≠ = ≠ = ≠ = ≠ = = ≠ = ≠ = = = ≠ = ≠ = ≠ = = = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ = ≠ = = ≠ = = ≠ = = ≠ = ≠ = = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = = ≠ = = ≠ ≠ = = = = ≠

ASC07 (seed 204507): 76 hands (33B / 38P / 5T), peak streaks 5B & 6P 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)
ASC07 Big Eye Boy Entry #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 4 goes down to Row 2, so use Rule 2: look 1 column 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.

ASC07 Small Road Entry #3

Column 4 has 2 beads. Column 2 has 1 bead. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 1 bead. Different depth → blue (≠).

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

ASC07 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

ASC07 8-Deck Hand Distribution
76 Hands (33 Banker / 38 Player / 5 Tie)

Seed 204507 opening column signature: C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:6P.

ASC07 Big Road Span & Max Streaks
Max 5B / Max 6P 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.

ASC07 Big Eye Boy Rule Breakdown
69 Marks (26R / 43B · 37.7% Red across 38 Display Cols)

Rule 1: 28 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 41.

ASC07 Small Road & Cockroach Pig Tally
SR: 29R/39B (42.6% Red) · CP: 44R/23B (65.7% 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).

ASC07 Hand #77 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #76 of ASC07.

ASC07 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC07 Scoreboard Structure: C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:6P

In catalog shoe ASC07 (seed 204507), 76 total hands resolve into 33 Banker wins, 38 Player wins, and 5 Ties across 30 logical columns (C1:1B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:6P). 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 ASC07 column by column shows peak runs of 5B and 6P spreading across 30 Big Road display columns: ASC07 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 41 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC07 (Seed 204507)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC07-C01 (H1–H1)1B (B) [ASC07]1B/0P (+0T @ASC07-C1)ASC07 Row1 Stop (Col1)NextColVsASC07-C1: 1v1
ASC07-C02 (H2–H2)1P (P) [ASC07]1B/1P (+0T @ASC07-C2)ASC07 Row1 Stop (Col2)NextColVsASC07-C1: 1v1
ASC07-C03 (H3–H3)1B (B) [ASC07]2B/1P (+0T @ASC07-C3)ASC07 Row1 Stop (Col3)NextColVsASC07-C2: 1v1
ASC07-C04 (H4–H5)2P (PP) [ASC07]2B/3P (+0T @ASC07-C4)ASC07 Row2 Stop (Col4)NextColVsASC07-C3: 2v1
ASC07-C05 (H6–H9)3B (BBB) [ASC07]5B/3P (+1T @ASC07-C5)ASC07 Row3 Stop (Col5)NextColVsASC07-C4: 3v2
ASC07-C06 (H10–H13)4P (PPPP) [ASC07]5B/7P (+0T @ASC07-C6)ASC07 Row4 Stop (Col6)NextColVsASC07-C5: 4v3
ASC07-C07 (H14–H19)5B (BBBBB) [ASC07]10B/7P (+1T @ASC07-C7)ASC07 Row5 Stop (Col7)NextColVsASC07-C6: 5v4
ASC07-C08 (H20–H25)6P (PPPPPP) [ASC07]10B/13P (+0T @ASC07-C8)ASC07 Row6 Stop (Col8)NextColVsASC07-C7: 6v5
ASC07-C09 (H26–H27)2B (BB) [ASC07]12B/13P (+0T @ASC07-C9)ASC07 Row2 Stop (Col9)NextColVsASC07-C8: 2v6
ASC07-C10 (H28–H32)4P (PPPP) [ASC07]12B/17P (+1T @ASC07-C10)ASC07 Row4 Stop (Col10)NextColVsASC07-C9: 4v2
  • ASC07 BEB #3 (BLUE): verified at ASC07 lookback-1 index 2 (26R/43B total).
  • ASC07 SR #3 (BLUE): verified at ASC07 lookback-2 index 2 (29R/39B total).
  • ASC07 CP #3 (BLUE): verified at ASC07 lookback-3 index 2 (44R/23B total).
ASC07 DERIVED-ROAD & CUT-CARD PROBE

ASC07 Lookback Split (26R/43B BEB · 29R/39B SR · 44R/23B 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 ASC07, Big Eye Boy prints 26 Red (37.7%) and 43 Blue marks, Small Road prints 29 Red (42.6%) and 39 Blue marks, and Cockroach Pig prints 44 Red (65.7%) and 23 Blue marks.

At the ASC07 cut card after Hand #76, probing Hand #77 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for ASC07.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC07 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 ASC07, 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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