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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC25 (SEED 204525)

Ascending Staircase Shoe ASC25: 76-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC25 (seed 204525) 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, 35 Player, 8 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:2B · C8:3P) and generate 66 Big Eye Boy marks (24R/42B), 64 Small Road marks (28R/36B), and 61 Cockroach Pig marks (42R/19B).

Verified 8-Deck Hands
76 (ASC25)
Outcome Split
33B / 35P / 8T
Peak Streaks
5B · 6P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 76 Hands

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

ASC25 (seed 204525): 76 hands (33B / 35P / 8T), peak streaks 5B & 6P across 27 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)
ASC25 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.

ASC25 Small Road Entry #6

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  1. Column 4 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, more than one row above → 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.

ASC25 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

ASC25 8-Deck Hand Distribution
76 Hands (33 Banker / 35 Player / 8 Tie)

Seed 204525 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:2B · C8:3P.

ASC25 Big Road Span & Max Streaks
Max 5B / Max 6P Across 27 Logical Cols (27 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.

ASC25 Big Eye Boy Rule Breakdown
66 Marks (24R / 42B · 36.4% Red across 36 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 41.

ASC25 Small Road & Cockroach Pig Tally
SR: 28R/36B (43.8% Red) · CP: 42R/19B (68.9% 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).

ASC25 Hand #77 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #76 of ASC25.

ASC25 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC25 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:2B · C8:3P

In catalog shoe ASC25 (seed 204525), 76 total hands resolve into 33 Banker wins, 35 Player wins, and 8 Ties across 27 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:6P · C7:2B · C8:3P). 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 ASC25 column by column shows peak runs of 5B and 6P spreading across 27 Big Road display columns: ASC25 records 25 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 ASC25 (Seed 204525)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC25-C01 (H1–H1)1B (B) [ASC25]1B/0P (+0T @ASC25-C1)ASC25 Row1 Stop (Col1)NextColVsASC25-C1: 1v1
ASC25-C02 (H2–H4)2P (PP) [ASC25]1B/2P (+1T @ASC25-C2)ASC25 Row2 Stop (Col2)NextColVsASC25-C1: 2v1
ASC25-C03 (H5–H7)3B (BBB) [ASC25]4B/2P (+0T @ASC25-C3)ASC25 Row3 Stop (Col3)NextColVsASC25-C2: 3v2
ASC25-C04 (H8–H12)4P (PPPP) [ASC25]4B/6P (+1T @ASC25-C4)ASC25 Row4 Stop (Col4)NextColVsASC25-C3: 4v3
ASC25-C05 (H13–H17)5B (BBBBB) [ASC25]9B/6P (+0T @ASC25-C5)ASC25 Row5 Stop (Col5)NextColVsASC25-C4: 5v4
ASC25-C06 (H18–H24)6P (PPPPPP) [ASC25]9B/12P (+1T @ASC25-C6)ASC25 Row6 Stop (Col6)NextColVsASC25-C5: 6v5
ASC25-C07 (H25–H26)2B (BB) [ASC25]11B/12P (+0T @ASC25-C7)ASC25 Row2 Stop (Col7)NextColVsASC25-C6: 2v6
ASC25-C08 (H27–H30)3P (PPP) [ASC25]11B/15P (+1T @ASC25-C8)ASC25 Row3 Stop (Col8)NextColVsASC25-C7: 3v2
ASC25-C09 (H31–H31)1B (B) [ASC25]12B/15P (+0T @ASC25-C9)ASC25 Row1 Stop (Col9)NextColVsASC25-C8: 1v3
ASC25-C10 (H32–H33)2P (PP) [ASC25]12B/17P (+0T @ASC25-C10)ASC25 Row2 Stop (Col10)NextColVsASC25-C9: 2v1
  • ASC25 BEB #3 (RED): verified at ASC25 lookback-1 index 2 (24R/42B total).
  • ASC25 SR #6 (RED): verified at ASC25 lookback-2 index 5 (28R/36B total).
  • ASC25 CP #1 (BLUE): verified at ASC25 lookback-3 index 0 (42R/19B total).
ASC25 DERIVED-ROAD & CUT-CARD PROBE

ASC25 Lookback Split (24R/42B BEB · 28R/36B SR · 42R/19B 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 ASC25, Big Eye Boy prints 24 Red (36.4%) and 42 Blue marks, Small Road prints 28 Red (43.8%) and 36 Blue marks, and Cockroach Pig prints 42 Red (68.9%) and 19 Blue marks.

At the ASC25 cut card after Hand #76, probing Hand #77 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for ASC25.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC25 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 ASC25, 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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