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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC11 (SEED 204511)

Ascending Staircase Shoe ASC11: 78-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC11 (seed 204511) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 78 dealt 8-deck hands (41 Banker, 33 Player, 4 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P) and generate 70 Big Eye Boy marks (25R/45B), 69 Small Road marks (25R/44B), and 68 Cockroach Pig marks (47R/21B).

Verified 8-Deck Hands
78 (ASC11)
Outcome Split
41B / 33P / 4T
Peak Streaks
5B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 78 Hands

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

ASC11 (seed 204511): 78 hands (41B / 33P / 4T), peak streaks 5B & 4P across 32 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)
ASC11 Big Eye Boy Entry #7

Column 5 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

ASC11 Small Road Entry #2

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

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

ASC11 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

ASC11 8-Deck Hand Distribution
78 Hands (41 Banker / 33 Player / 4 Tie)

Seed 204511 opening column signature: C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P.

ASC11 Big Road Span & Max Streaks
Max 5B / Max 4P Across 32 Logical Cols (32 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.

ASC11 Big Eye Boy Rule Breakdown
70 Marks (25R / 45B · 35.7% Red across 42 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 40.

ASC11 Small Road & Cockroach Pig Tally
SR: 25R/44B (36.2% Red) · CP: 47R/21B (69.1% 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).

ASC11 Hand #79 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #78 of ASC11.

ASC11 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC11 Scoreboard Structure: C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · C8:3P

In catalog shoe ASC11 (seed 204511), 78 total hands resolve into 41 Banker wins, 33 Player wins, and 4 Ties across 32 logical columns (C1:3B · C2:1P · C3:1B · C4:2P · C5:3B · C6:4P · C7:5B · 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 ASC11 column by column shows peak runs of 5B and 4P spreading across 32 Big Road display columns: ASC11 records 30 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 ASC11 (Seed 204511)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC11-C01 (H1–H3)3B (BBB) [ASC11]3B/0P (+0T @ASC11-C1)ASC11 Row3 Stop (Col1)NextColVsASC11-C1: 3v3
ASC11-C02 (H4–H4)1P (P) [ASC11]3B/1P (+0T @ASC11-C2)ASC11 Row1 Stop (Col2)NextColVsASC11-C1: 1v3
ASC11-C03 (H5–H5)1B (B) [ASC11]4B/1P (+0T @ASC11-C3)ASC11 Row1 Stop (Col3)NextColVsASC11-C2: 1v1
ASC11-C04 (H6–H7)2P (PP) [ASC11]4B/3P (+0T @ASC11-C4)ASC11 Row2 Stop (Col4)NextColVsASC11-C3: 2v1
ASC11-C05 (H8–H11)3B (BBB) [ASC11]7B/3P (+1T @ASC11-C5)ASC11 Row3 Stop (Col5)NextColVsASC11-C4: 3v2
ASC11-C06 (H12–H15)4P (PPPP) [ASC11]7B/7P (+0T @ASC11-C6)ASC11 Row4 Stop (Col6)NextColVsASC11-C5: 4v3
ASC11-C07 (H16–H20)5B (BBBBB) [ASC11]12B/7P (+0T @ASC11-C7)ASC11 Row5 Stop (Col7)NextColVsASC11-C6: 5v4
ASC11-C08 (H21–H23)3P (PPP) [ASC11]12B/10P (+0T @ASC11-C8)ASC11 Row3 Stop (Col8)NextColVsASC11-C7: 3v5
ASC11-C09 (H24–H26)2B (BB) [ASC11]14B/10P (+1T @ASC11-C9)ASC11 Row2 Stop (Col9)NextColVsASC11-C8: 2v3
ASC11-C10 (H27–H27)1P (P) [ASC11]14B/11P (+0T @ASC11-C10)ASC11 Row1 Stop (Col10)NextColVsASC11-C9: 1v2
  • ASC11 BEB #7 (BLUE): verified at ASC11 lookback-1 index 6 (25R/45B total).
  • ASC11 SR #2 (BLUE): verified at ASC11 lookback-2 index 1 (25R/44B total).
  • ASC11 CP #3 (BLUE): verified at ASC11 lookback-3 index 2 (47R/21B total).
ASC11 DERIVED-ROAD & CUT-CARD PROBE

ASC11 Lookback Split (25R/45B BEB · 25R/44B SR · 47R/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 ASC11, Big Eye Boy prints 25 Red (35.7%) and 45 Blue marks, Small Road prints 25 Red (36.2%) and 44 Blue marks, and Cockroach Pig prints 47 Red (69.1%) and 21 Blue marks.

At the ASC11 cut card after Hand #78, probing Hand #79 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for ASC11.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC11 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 ASC11, 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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