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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0873 (SEED 307800)

Rule 2 Case 3 Overhang S2-0873: 64-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0873 (seed 307800) documents a deep columns extending two or more rows past short lookback columns over 64 hands (32 Banker, 29 Player, 3 Tie). Its 31 logical columns span 31 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 58 Big Eye Boy marks (27R/31B), 56 Small Road marks (26R/30B), and 55 Cockroach Pig marks (24R/31B).

Verified 8-Deck Hands
64 (S2-0873)
Outcome Split
32B / 29P / 3T
Longest Streaks
6B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 64 Hands

Read the Board at Table Speed

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

S2-0873 (seed 307800): 64 hands (32B / 29P / 3T), max streaks 6B & 4P across 31 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)
S2-0873 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 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 6 stopped exactly one row above this bead.

S2-0873 SR Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

S2-0873 CP Mark #4

Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

S2-0873 8-Deck Hand Count
64 Hands (32 Banker / 29 Player / 3 Tie)

Seed 307800 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H15,H29,H49).

S2-0873 Big Road Span & Max Streaks
Max 6B / Max 4P Across 31 Logical Cols (31 Display Cols)

Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

S2-0873 Big Eye Boy Rule Split
58 Marks (27R / 31B · 46.6% Red Across 33 Cols)

Rule 1: 29 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

S2-0873 Small Road & Cockroach Pig Split
SR: 26R/30B (46.4% Red) · CP: 24R/31B (43.6% Red)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

S2-0873 Hand #65 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #64 of S2-0873.

S2-0873 SCOREBOARD STRUCTURE

S2-0873 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Table log S2-0873 (seed 307800) resolves 64 hands into 32B, 29P, and 3T across 31 columns (31 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B), capturing a deep columns extending two or more rows past short lookback columns. Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

Within S2-0873, max streaks hit 6B and 4P with ties logged at H15,H29,H49; Big Eye Boy tallies 29 Rule 1 comparisons, 0 Case 1 matches, 0 Case 2 breaks, and 29 Case 3 marks.

Opening 9 Big Road Columns of S2-0873 (Seed 307800)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0873-C1:H1-2S2-0873:2BS2-0873:2B/0P/+0TS2-0873:R2StopS2-0873:2vs2
S2-0873-C2:H3-4S2-0873:2PS2-0873:2B/2P/+0TS2-0873:R2StopS2-0873:2vs2
S2-0873-C3:H5-5S2-0873:1BS2-0873:3B/2P/+0TS2-0873:R1StopS2-0873:1vs2
S2-0873-C4:H6-6S2-0873:1PS2-0873:3B/3P/+0TS2-0873:R1StopS2-0873:1vs1
S2-0873-C5:H7-7S2-0873:1BS2-0873:4B/3P/+0TS2-0873:R1StopS2-0873:1vs1
S2-0873-C6:H8-9S2-0873:2PS2-0873:4B/5P/+0TS2-0873:R2StopS2-0873:2vs1
S2-0873-C7:H10-11S2-0873:2BS2-0873:6B/5P/+0TS2-0873:R2StopS2-0873:2vs2
S2-0873-C8:H12-12S2-0873:1PS2-0873:6B/6P/+0TS2-0873:R1StopS2-0873:1vs2
S2-0873-C9:H13-13S2-0873:1BS2-0873:7B/6P/+0TS2-0873:R1StopS2-0873:1vs1
  • S2-0873 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0873 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0873 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0873 DERIVED-ROAD & NEXT-HAND PROBE

S2-0873 Lookback Audit (27R/31B BEB · 26R/30B SR · 24R/31B CP)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=). Specifically for S2-0873, BEB tallies 27 Red and 31 Blue (46.6%), SR tallies 26 Red and 30 Blue (46.4%), and CP tallies 24 Red and 31 Blue (43.6%).

In S2-0873, Hand #65 lookback projections are BEB RED, SR RED, CP BLUE if Banker wins and BEB BLUE, SR BLUE, CP RED if Player wins.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0873 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0873 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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