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ASCENDING 1-2-3-4-5 STAIRCASE · CATALOG ASC10 (SEED 204510)

Ascending Staircase Shoe ASC10: 73-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe ASC10 (seed 204510) captures a stepwise 1-2-3-4-5 increasing column depths triggering Rule 1 and Rule 2 Case 2 across 73 dealt 8-deck hands (30 Banker, 35 Player, 8 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:2B) and generate 63 Big Eye Boy marks (24R/39B), 62 Small Road marks (26R/36B), and 60 Cockroach Pig marks (40R/20B).

Verified 8-Deck Hands
73 (ASC10)
Outcome Split
30B / 35P / 8T
Peak Streaks
5B · 6P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 73 Hands

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

ASC10 (seed 204510): 73 hands (30B / 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)
ASC10 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.

ASC10 Small Road Entry #6

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns 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.

ASC10 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

ASC10 8-Deck Hand Distribution
73 Hands (30 Banker / 35 Player / 8 Tie)

Seed 204510 opening column signature: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:2B.

ASC10 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.

ASC10 Big Eye Boy Rule Breakdown
63 Marks (24R / 39B · 38.1% Red across 36 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

ASC10 Small Road & Cockroach Pig Tally
SR: 26R/36B (41.9% 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).

ASC10 Hand #74 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #73 of ASC10.

ASC10 COLUMN GEOMETRY (ASCENDING-STAIRCASE)

ASC10 Scoreboard Structure: C1:1P · C2:1B · C3:2P · C4:3B · C5:4P · C6:5B · C7:6P · C8:2B

In catalog shoe ASC10 (seed 204510), 73 total hands resolve into 30 Banker wins, 35 Player wins, and 8 Ties across 27 logical columns (C1:1P · 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 ASC10 column by column shows peak runs of 5B and 6P spreading across 27 Big Road display columns: ASC10 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 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of ASC10 (Seed 204510)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
ASC10-C01 (H1–H1)1P (P) [ASC10]0B/1P (+0T @ASC10-C1)ASC10 Row1 Stop (Col1)NextColVsASC10-C1: 1v1
ASC10-C02 (H2–H3)1B (B) [ASC10]1B/1P (+1T @ASC10-C2)ASC10 Row1 Stop (Col2)NextColVsASC10-C1: 1v1
ASC10-C03 (H4–H5)2P (PP) [ASC10]1B/3P (+0T @ASC10-C3)ASC10 Row2 Stop (Col3)NextColVsASC10-C2: 2v1
ASC10-C04 (H6–H8)3B (BBB) [ASC10]4B/3P (+0T @ASC10-C4)ASC10 Row3 Stop (Col4)NextColVsASC10-C3: 3v2
ASC10-C05 (H9–H13)4P (PPPP) [ASC10]4B/7P (+1T @ASC10-C5)ASC10 Row4 Stop (Col5)NextColVsASC10-C4: 4v3
ASC10-C06 (H14–H19)5B (BBBBB) [ASC10]9B/7P (+1T @ASC10-C6)ASC10 Row5 Stop (Col6)NextColVsASC10-C5: 5v4
ASC10-C07 (H20–H25)6P (PPPPPP) [ASC10]9B/13P (+0T @ASC10-C7)ASC10 Row6 Stop (Col7)NextColVsASC10-C6: 6v5
ASC10-C08 (H26–H28)2B (BB) [ASC10]11B/13P (+1T @ASC10-C8)ASC10 Row2 Stop (Col8)NextColVsASC10-C7: 2v6
ASC10-C09 (H29–H32)4P (PPPP) [ASC10]11B/17P (+0T @ASC10-C9)ASC10 Row4 Stop (Col9)NextColVsASC10-C8: 4v2
ASC10-C10 (H33–H33)1B (B) [ASC10]12B/17P (+0T @ASC10-C10)ASC10 Row1 Stop (Col10)NextColVsASC10-C9: 1v4
  • ASC10 BEB #6 (BLUE): verified at ASC10 lookback-1 index 5 (24R/39B total).
  • ASC10 SR #6 (RED): verified at ASC10 lookback-2 index 5 (26R/36B total).
  • ASC10 CP #2 (RED): verified at ASC10 lookback-3 index 1 (40R/20B total).
ASC10 DERIVED-ROAD & CUT-CARD PROBE

ASC10 Lookback Split (24R/39B BEB · 26R/36B 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 ASC10, Big Eye Boy prints 24 Red (38.1%) and 39 Blue marks, Small Road prints 26 Red (41.9%) and 36 Blue marks, and Cockroach Pig prints 40 Red (66.7%) and 20 Blue marks.

At the ASC10 cut card after Hand #73, probing Hand #74 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for ASC10.

Table Reality Check

Myth vs. Truth

MythBecause 1-2-3-4-5 in ASC10 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 ASC10, 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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