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RULE 1 VS RULE 2 BOUNDARY · S2B165SR · K=2

Small Road Rule 1 vs Rule 2 Boundary [s2b165sr]: Reference Depth 1 vs Active Depth 5 → Red (=)

This bead is at Row 6. Column 3 stopped at Row 1, more than one row above → red (=). In boundary comparison [s2b165sr] (r02-single-step, depth slot 5), Small Road (小路 (Siu Lou), k=2) contrasts Rule 2 Boundary (Downward Row Continuation) at Column 5 Row 6 (Red (=)) against its opposite branch (Blue (≠)) at Las Vegas Strip high-limit pits.

C3 vs Active
D1 vs D5
Rule 2 Focus
RED (=)
Rule 1 Branch
BLUE (≠)
Solid Circle
Lookback 2
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P P B B P B P P P P P P B B P P B B
Big Eye Boy = ≠ ≠ = ≠ = = = = ≠ = ≠ = = =
Small Road ≠ ≠ ≠ = = = = ≠ ≠ ≠ = ≠ =
Cockroach Pig ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ =

Boundary [s2b165sr] (3-2-1-1-6-2-2-2): Small Road k=2 at C5R6 vs Ref C3 (D1) → This bead is at Row 6. Column 3 stopped at Row 1, more than one row above → red (=).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Small Road Boundary Mark #7 [s2b165sr]

This bead is at Row 6. Column 3 stopped at Row 1, more than one row above → red (=).

  1. Column 5 goes down to Row 6, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Boundary Coordinate [s2b165sr]
Small Road (k=2) · Col 5 Row 6

Shape r02-single-step depth slot 5 on Hand #13 of 19.

Reference vs Active Depth [s2b165sr]
Ref Col 3 = 1 Bead | Active Depth = 5

Rule 2 Boundary (Downward Row Continuation) resolves Red (=) while the alternate branch resolves Blue (≠).

Verbatim describeMark() [s2b165sr]
This bead is at Row 6. Column 3 stopped at Row 1, more than one row above → red (=).

1. Column 5 goes down to Row 6, so use Rule 2: look 2 columns back, at Column 3. 2. Column 3 stopped at Row 1, more than one row above → red (=).

Boundary Pitfall Check [s2b165sr]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Tracked across 13 marks on Small Road in [s2b165sr].

Ask-Road Split [s2b165sr]
Next B → BBR | Next P → RRB

Rule 1 and Rule 2 produce opposite derived colors on every next-hand split.

SIDE-BY-SIDE BOUNDARY · S2B165SR

Rule 1 vs Rule 2 Boundary [s2b165sr]: Small Road k=2 at C5R6

Structural audit [s2b165sr] follows Small Road (k=2) on Las Vegas Strip high-limit pits boards as Hand #13 places a bead at Column 5 Row 6 [s2b165sra] opposite Column 3 (depth 1): This bead is at Row 6. Column 3 stopped at Row 1, more than one row above → red (=).

Because Small Road [s2b165srb1] uses lookback offset k=2 [s2b165srb2], Hand #13 at Column 5 Row 6 (depth 5) [s2b165srb3] references Column 3 (1 beads) [s2b165srb4] for Red (=) [s2b165srb5] with Ask-Road state B=BBR / P=RRB.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b165sr]
BranchCoordinate PairDerived Verdict
s2b165srf1 Active (Rule 2)s2b165src1 C5R6 vs C3 (D1)s2b165srv1 Red (=)
s2b165srf2 Alternate (Rule 1)s2b165src2 C6R1 vs C3s2b165srv2 Blue (≠)
  • [s2b165srq1] Primary branch (Rule 2) [s2b165srq2] at C5R6 vs Ref C3 (D1) marks Red (=).
  • [s2b165srq3] Opposite branch (Rule 1) [s2b165srq4] against Ref C3 (D1) inverts to Blue (≠).
  • [s2b165srq5] Trailing Ask-Road probe [s2b165srq6] after 19 hands reads B=BBR and P=RRB.
GEOMETRIC COMPLEMENT · S2B165SR

Why Rule 1 and Rule 2 Invert at Depth 5 vs 1 [s2b165sr]

Within 19-hand shoe [s2b165src1], Small Road (lookback k=2) [s2b165src2] compares Column 5 Row 6 with Column 3 (depth 1) [s2b165src3] while derived symbols never denote Banker or Player [s2b165src4] and future hands [s2b165src5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b165sr], Small Road can produce the same color whether the streak continues down under Rule 2 or breaks to a new column under Rule 1.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2b165sr], This bead is at Row 6. Column 3 stopped at Row 1, more than one row above → red (=).
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