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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0845 (SEED 50872)

Rule 2 Case 3 Overhang S2-0845: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0845 (seed 50872) documents a deep columns extending two or more rows past short lookback columns over 65 hands (28 Banker, 32 Player, 5 Tie). Its 32 logical columns span 32 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 57 Big Eye Boy marks (33R/24B), 55 Small Road marks (31R/24B), and 54 Cockroach Pig marks (29R/25B).

Verified 8-Deck Hands
65 (S2-0845)
Outcome Split
28B / 32P / 5T
Longest Streaks
4B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

S2-0845 (seed 50872): 65 hands (28B / 32P / 5T), max streaks 4B & 4P across 32 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)
S2-0845 BEB Mark #4

Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

S2-0845 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

S2-0845 CP Mark #1

Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

S2-0845 8-Deck Hand Count
65 Hands (28 Banker / 32 Player / 5 Tie)

Seed 50872 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H17,H20,H35,H46).

S2-0845 Big Road Span & Max Streaks
Max 4B / Max 4P Across 32 Logical Cols (32 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.

S2-0845 Big Eye Boy Rule Split
57 Marks (33R / 24B · 57.9% Red Across 26 Cols)

Rule 1: 30 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 27.

S2-0845 Small Road & Cockroach Pig Split
SR: 31R/24B (56.4% Red) · CP: 29R/25B (53.7% Red)

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

S2-0845 Hand #66 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #65 of S2-0845.

S2-0845 SCOREBOARD STRUCTURE

S2-0845 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Table log S2-0845 (seed 50872) resolves 65 hands into 28B, 32P, and 5T across 32 columns (32 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), 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 S2-0845, max streaks hit 4B and 4P with ties logged at H17,H20,H35,H46; Big Eye Boy tallies 30 Rule 1 comparisons, 0 Case 1 matches, 0 Case 2 breaks, and 27 Case 3 marks.

Opening 9 Big Road Columns of S2-0845 (Seed 50872)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0845-C1:H1-2S2-0845:2BS2-0845:2B/0P/+0TS2-0845:R2StopS2-0845:2vs2
S2-0845-C2:H3-4S2-0845:2PS2-0845:2B/2P/+0TS2-0845:R2StopS2-0845:2vs2
S2-0845-C3:H5-5S2-0845:1BS2-0845:3B/2P/+0TS2-0845:R1StopS2-0845:1vs2
S2-0845-C4:H6-6S2-0845:1PS2-0845:3B/3P/+0TS2-0845:R1StopS2-0845:1vs1
S2-0845-C5:H7-7S2-0845:1BS2-0845:4B/3P/+0TS2-0845:R1StopS2-0845:1vs1
S2-0845-C6:H8-9S2-0845:2PS2-0845:4B/5P/+0TS2-0845:R2StopS2-0845:2vs1
S2-0845-C7:H10-10S2-0845:1BS2-0845:5B/5P/+0TS2-0845:R1StopS2-0845:1vs2
S2-0845-C8:H11-11S2-0845:1PS2-0845:5B/6P/+0TS2-0845:R1StopS2-0845:1vs1
S2-0845-C9:H12-13S2-0845:2BS2-0845:7B/6P/+0TS2-0845:R2StopS2-0845:2vs1
  • S2-0845 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0845 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0845 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0845 DERIVED-ROAD & NEXT-HAND PROBE

S2-0845 Lookback Audit (33R/24B BEB · 31R/24B SR · 29R/25B 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 S2-0845, BEB tallies 33 Red and 24 Blue (57.9%), SR tallies 31 Red and 24 Blue (56.4%), and CP tallies 29 Red and 25 Blue (53.7%).

In S2-0845, Hand #66 lookback projections are BEB BLUE, SR RED, CP BLUE if Banker wins and BEB RED, SR BLUE, CP RED if Player wins.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0845 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0845 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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