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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC17 (SEED 204517)

Ascending Staircase Shoe ASC17: 72-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC17 (seed 204517) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 72 dealt 8-deck hands (37 Banker, 30 Player, 5 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P) and generate 65 Big Eye Boy marks (21R/44B), 63 Small Road marks (24R/39B), and 60 Cockroach Pig marks (40R/20B).

Verified 8-Deck Hands
72 (ASC17)
Outcome Split
37B / 30P / 5T
Peak Streaks
5B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 72 Hands

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

ASC17 (seed 204517): 72 hands (37B / 30P / 5T), peak streaks 5B & 4P across 29 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)
ASC17 Big Eye Boy Entry #7

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

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

ASC17 Small Road Entry #3

Column 3 has 3 beads. Column 1 has 1 bead. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

ASC17 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

ASC17 8-Deck Hand Distribution
72 Hands (37 Banker / 30 Player / 5 Tie)

Seed 204517 opening column signature: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P.

ASC17 Big Road Span & Max Streaks
Max 5B / Max 4P Across 29 Logical Cols (29 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.

ASC17 Big Eye Boy Rule Breakdown
65 Marks (21R / 44B · 32.3% Red across 37 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

ASC17 Small Road & Cockroach Pig Tally
SR: 24R/39B (38.1% Red) · CP: 40R/20B (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).

ASC17 Hand #73 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #72 of ASC17.

ASC17 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC17 Scoreboard Structure: C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P

In catalog shoe ASC17 (seed 204517), 72 total hands resolve into 37 Banker wins, 30 Player wins, and 5 Ties across 29 logical columns (C1:1B · C2:2P · C3:3B · C4:4P · C5:5B · C6:1P · C7:3B · C8:2P). 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 ASC17 column by column shows peak runs of 5B and 4P spreading across 29 Big Road display columns: ASC17 records 27 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 ASC17 (Seed 204517)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC17-C01 (H1–H1)1B (B) [ASC17]1B/0P (+0T @ASC17-C1)ASC17 Row1 Stop (Col1)NextColVsASC17-C1: 1v1
ASC17-C02 (H2–H3)2P (PP) [ASC17]1B/2P (+0T @ASC17-C2)ASC17 Row2 Stop (Col2)NextColVsASC17-C1: 2v1
ASC17-C03 (H4–H7)3B (BBB) [ASC17]4B/2P (+1T @ASC17-C3)ASC17 Row3 Stop (Col3)NextColVsASC17-C2: 3v2
ASC17-C04 (H8–H11)4P (PPPP) [ASC17]4B/6P (+0T @ASC17-C4)ASC17 Row4 Stop (Col4)NextColVsASC17-C3: 4v3
ASC17-C05 (H12–H16)5B (BBBBB) [ASC17]9B/6P (+0T @ASC17-C5)ASC17 Row5 Stop (Col5)NextColVsASC17-C4: 5v4
ASC17-C06 (H17–H18)1P (P) [ASC17]9B/7P (+1T @ASC17-C6)ASC17 Row1 Stop (Col6)NextColVsASC17-C5: 1v5
ASC17-C07 (H19–H21)3B (BBB) [ASC17]12B/7P (+0T @ASC17-C7)ASC17 Row3 Stop (Col7)NextColVsASC17-C6: 3v1
ASC17-C08 (H22–H23)2P (PP) [ASC17]12B/9P (+0T @ASC17-C8)ASC17 Row2 Stop (Col8)NextColVsASC17-C7: 2v3
ASC17-C09 (H24–H27)4B (BBBB) [ASC17]16B/9P (+0T @ASC17-C9)ASC17 Row4 Stop (Col9)NextColVsASC17-C8: 4v2
ASC17-C10 (H28–H28)1P (P) [ASC17]16B/10P (+0T @ASC17-C10)ASC17 Row1 Stop (Col10)NextColVsASC17-C9: 1v4
  • ASC17 BEB #7 (RED): verified at ASC17 lookback-1 index 6 (21R/44B total).
  • ASC17 SR #3 (BLUE): verified at ASC17 lookback-2 index 2 (24R/39B total).
  • ASC17 CP #1 (BLUE): verified at ASC17 lookback-3 index 0 (40R/20B total).
ASC17 DERIVED-ROAD & CUT-CARD PROBE

ASC17 Lookback Split (21R/44B BEB · 24R/39B SR · 40R/20B 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 ASC17, Big Eye Boy prints 21 Red (32.3%) and 44 Blue marks, Small Road prints 24 Red (38.1%) and 39 Blue marks, and Cockroach Pig prints 40 Red (66.7%) and 20 Blue marks.

At the ASC17 cut card after Hand #72, probing Hand #73 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for ASC17.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC17 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 ASC17, 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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