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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC22 (SEED 204522)

Ascending Staircase Shoe ASC22: 79-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC22 (seed 204522) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 79 dealt 8-deck hands (37 Banker, 37 Player, 5 Tie). Its 30 logical Big Road columns occupy 30 display columns (C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:2B) and generate 69 Big Eye Boy marks (25R/44B), 68 Small Road marks (27R/41B), and 66 Cockroach Pig marks (44R/22B).

Verified 8-Deck Hands
79 (ASC22)
Outcome Split
37B / 37P / 5T
Peak Streaks
5B · 6P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 79 Hands

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

ASC22 (seed 204522): 79 hands (37B / 37P / 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)
ASC22 Big Eye Boy Entry #6

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

ASC22 Small Road Entry #3

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.

ASC22 Cockroach Pig Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → 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

ASC22 8-Deck Hand Distribution
79 Hands (37 Banker / 37 Player / 5 Tie)

Seed 204522 opening column signature: C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:2B.

ASC22 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.

ASC22 Big Eye Boy Rule Breakdown
69 Marks (25R / 44B · 36.2% Red across 39 Display Cols)

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

ASC22 Small Road & Cockroach Pig Tally
SR: 27R/41B (39.7% Red) · CP: 44R/22B (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).

ASC22 Hand #80 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #79 of ASC22.

ASC22 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC22 Scoreboard Structure: C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:2B

In catalog shoe ASC22 (seed 204522), 79 total hands resolve into 37 Banker wins, 37 Player wins, and 5 Ties across 30 logical columns (C1:4P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · 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 ASC22 column by column shows peak runs of 5B and 6P spreading across 30 Big Road display columns: ASC22 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 ASC22 (Seed 204522)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC22-C01 (H1–H4)4P (PPPP) [ASC22]0B/4P (+0T @ASC22-C1)ASC22 Row4 Stop (Col1)NextColVsASC22-C1: 4v4
ASC22-C02 (H5–H5)1B (B) [ASC22]1B/4P (+0T @ASC22-C2)ASC22 Row1 Stop (Col2)NextColVsASC22-C1: 1v4
ASC22-C03 (H6–H7)2P (PP) [ASC22]1B/6P (+0T @ASC22-C3)ASC22 Row2 Stop (Col3)NextColVsASC22-C2: 2v1
ASC22-C04 (H8–H11)3B (BBB) [ASC22]4B/6P (+1T @ASC22-C4)ASC22 Row3 Stop (Col4)NextColVsASC22-C3: 3v2
ASC22-C05 (H12–H15)4P (PPPP) [ASC22]4B/10P (+0T @ASC22-C5)ASC22 Row4 Stop (Col5)NextColVsASC22-C4: 4v3
ASC22-C06 (H16–H20)5B (BBBBB) [ASC22]9B/10P (+0T @ASC22-C6)ASC22 Row5 Stop (Col6)NextColVsASC22-C5: 5v4
ASC22-C07 (H21–H27)6P (PPPPPP) [ASC22]9B/16P (+1T @ASC22-C7)ASC22 Row6 Stop (Col7)NextColVsASC22-C6: 6v5
ASC22-C08 (H28–H29)2B (BB) [ASC22]11B/16P (+0T @ASC22-C8)ASC22 Row2 Stop (Col8)NextColVsASC22-C7: 2v6
ASC22-C09 (H30–H30)1P (P) [ASC22]11B/17P (+0T @ASC22-C9)ASC22 Row1 Stop (Col9)NextColVsASC22-C8: 1v2
ASC22-C10 (H31–H33)3B (BBB) [ASC22]14B/17P (+0T @ASC22-C10)ASC22 Row3 Stop (Col10)NextColVsASC22-C9: 3v1
  • ASC22 BEB #6 (BLUE): verified at ASC22 lookback-1 index 5 (25R/44B total).
  • ASC22 SR #3 (BLUE): verified at ASC22 lookback-2 index 2 (27R/41B total).
  • ASC22 CP #2 (RED): verified at ASC22 lookback-3 index 1 (44R/22B total).
ASC22 DERIVED-ROAD & CUT-CARD PROBE

ASC22 Lookback Split (25R/44B BEB · 27R/41B SR · 44R/22B 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 ASC22, Big Eye Boy prints 25 Red (36.2%) and 44 Blue marks, Small Road prints 27 Red (39.7%) and 41 Blue marks, and Cockroach Pig prints 44 Red (66.7%) and 22 Blue marks.

At the ASC22 cut card after Hand #79, probing Hand #80 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for ASC22.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC22 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 ASC22, 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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