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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC14 (SEED 204514)

Ascending Staircase Shoe ASC14: 75-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC14 (seed 204514) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 75 dealt 8-deck hands (36 Banker, 32 Player, 7 Tie). Its 30 logical Big Road columns occupy 30 display columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B) and generate 66 Big Eye Boy marks (21R/45B), 65 Small Road marks (25R/40B), and 63 Cockroach Pig marks (42R/21B).

Verified 8-Deck Hands
75 (ASC14)
Outcome Split
36B / 32P / 7T
Peak Streaks
5B · 4P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 75 Hands

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

ASC14 (seed 204514): 75 hands (36B / 32P / 7T), peak streaks 5B & 4P 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)
ASC14 Big Eye Boy Entry #4

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

ASC14 Small Road Entry #5

Column 4 has 3 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 3 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.

ASC14 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 stopped at Row 1, more than one row above → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 1, more than one row above → red (=).

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

ASC14 8-Deck Hand Distribution
75 Hands (36 Banker / 32 Player / 7 Tie)

Seed 204514 opening column signature: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B.

ASC14 Big Road Span & Max Streaks
Max 5B / Max 4P 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.

ASC14 Big Eye Boy Rule Breakdown
66 Marks (21R / 45B · 31.8% Red across 35 Display Cols)

Rule 1: 28 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

ASC14 Small Road & Cockroach Pig Tally
SR: 25R/40B (38.5% Red) · CP: 42R/21B (66.7% 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).

ASC14 Hand #76 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #75 of ASC14.

ASC14 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC14 Scoreboard Structure: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B

In catalog shoe ASC14 (seed 204514), 75 total hands resolve into 36 Banker wins, 32 Player wins, and 7 Ties across 30 logical columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:1P · C8:2B). 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 ASC14 column by column shows peak runs of 5B and 4P spreading across 30 Big Road display columns: ASC14 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 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC14 (Seed 204514)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC14-C01 (H1–H1)1P (P) [ASC14]0B/1P (+0T @ASC14-C1)ASC14 Row1 Stop (Col1)NextColVsASC14-C1: 1v1
ASC14-C02 (H2–H2)1B (B) [ASC14]1B/1P (+0T @ASC14-C2)ASC14 Row1 Stop (Col2)NextColVsASC14-C1: 1v1
ASC14-C03 (H3–H4)2P (PP) [ASC14]1B/3P (+0T @ASC14-C3)ASC14 Row2 Stop (Col3)NextColVsASC14-C2: 2v1
ASC14-C04 (H5–H8)3B (BBB) [ASC14]4B/3P (+1T @ASC14-C4)ASC14 Row3 Stop (Col4)NextColVsASC14-C3: 3v2
ASC14-C05 (H9–H12)4P (PPPP) [ASC14]4B/7P (+0T @ASC14-C5)ASC14 Row4 Stop (Col5)NextColVsASC14-C4: 4v3
ASC14-C06 (H13–H18)5B (BBBBB) [ASC14]9B/7P (+1T @ASC14-C6)ASC14 Row5 Stop (Col6)NextColVsASC14-C5: 5v4
ASC14-C07 (H19–H19)1P (P) [ASC14]9B/8P (+0T @ASC14-C7)ASC14 Row1 Stop (Col7)NextColVsASC14-C6: 1v5
ASC14-C08 (H20–H21)2B (BB) [ASC14]11B/8P (+0T @ASC14-C8)ASC14 Row2 Stop (Col8)NextColVsASC14-C7: 2v1
ASC14-C09 (H22–H25)3P (PPP) [ASC14]11B/11P (+1T @ASC14-C9)ASC14 Row3 Stop (Col9)NextColVsASC14-C8: 3v2
ASC14-C10 (H26–H26)1B (B) [ASC14]12B/11P (+0T @ASC14-C10)ASC14 Row1 Stop (Col10)NextColVsASC14-C9: 1v3
  • ASC14 BEB #4 (RED): verified at ASC14 lookback-1 index 3 (21R/45B total).
  • ASC14 SR #5 (BLUE): verified at ASC14 lookback-2 index 4 (25R/40B total).
  • ASC14 CP #2 (RED): verified at ASC14 lookback-3 index 1 (42R/21B total).
ASC14 DERIVED-ROAD & CUT-CARD PROBE

ASC14 Lookback Split (21R/45B BEB · 25R/40B SR · 42R/21B 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 ASC14, Big Eye Boy prints 21 Red (31.8%) and 45 Blue marks, Small Road prints 25 Red (38.5%) and 40 Blue marks, and Cockroach Pig prints 42 Red (66.7%) and 21 Blue marks.

At the ASC14 cut card after Hand #75, probing Hand #76 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for ASC14.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC14 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 ASC14, adjacent staircase depths differ by 1, producing Blue (≠) at every column start and tip.
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