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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0880 (SEED 372032)

Rule 2 Case 3 Overhang S2-0880: 83-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0880 (seed 372032) documents a deep columns extending two or more rows past short lookback columns over 83 hands (42 Banker, 33 Player, 8 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 72 Big Eye Boy marks (30R/42B), 70 Small Road marks (35R/35B), and 69 Cockroach Pig marks (29R/40B).

Verified 8-Deck Hands
83 (S2-0880)
Outcome Split
42B / 33P / 8T
Longest Streaks
5B · 5P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 83 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 P P B B B P B P B B P P P P B P P B B B B P P P B B P B P B B P P B B B B P P B B B P B B B B B B B P P B B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠ ≠ ≠ = ≠ = = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠
Small Road ≠ ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ ≠ = = ≠ ≠ = = = ≠ = = = = ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ = ≠ = ≠ = = = = ≠ ≠ = = = = = ≠ = = = ≠ ≠ = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = = ≠ ≠ = = = = = ≠ = ≠ = ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ = = ≠ = = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠

S2-0880 (seed 372032): 83 hands (42B / 33P / 8T), max streaks 5B & 5P across 38 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)
S2-0880 BEB Mark #7

Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 5, 1 column further back.
  2. Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 5.

S2-0880 SR Mark #2

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

S2-0880 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

S2-0880 8-Deck Hand Count
83 Hands (42 Banker / 33 Player / 8 Tie)

Seed 372032 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H24,H32,H37,H47).

S2-0880 Big Road Span & Max Streaks
Max 5B / Max 5P Across 38 Logical Cols (38 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.

S2-0880 Big Eye Boy Rule Split
72 Marks (30R / 42B · 41.7% Red Across 38 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

S2-0880 Small Road & Cockroach Pig Split
SR: 35R/35B (50.0% Red) · CP: 29R/40B (42.0% Red)

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

S2-0880 Hand #84 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #83 of S2-0880.

S2-0880 SCOREBOARD STRUCTURE

S2-0880 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

With 42B, 33P, and 8T in 83 hands, S2-0880 (seed 372032) builds 38 logical columns across 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) to highlight 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.

With ties landing at H24,H32,H37,H47 and streaks peaking at 5B/5P, S2-0880 records 36 Rule 1, 0 Rule 2 Case 1, 0 Case 2, and 36 Case 3 marks on Big Eye Boy.

Opening 9 Big Road Columns of S2-0880 (Seed 372032)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0880-C1:H1-2S2-0880:2BS2-0880:2B/0P/+0TS2-0880:R2StopS2-0880:2vs2
S2-0880-C2:H3-4S2-0880:2PS2-0880:2B/2P/+0TS2-0880:R2StopS2-0880:2vs2
S2-0880-C3:H5-5S2-0880:1BS2-0880:3B/2P/+0TS2-0880:R1StopS2-0880:1vs2
S2-0880-C4:H6-6S2-0880:1PS2-0880:3B/3P/+0TS2-0880:R1StopS2-0880:1vs1
S2-0880-C5:H7-7S2-0880:1BS2-0880:4B/3P/+0TS2-0880:R1StopS2-0880:1vs1
S2-0880-C6:H8-9S2-0880:2PS2-0880:4B/5P/+0TS2-0880:R2StopS2-0880:2vs1
S2-0880-C7:H10-10S2-0880:1BS2-0880:5B/5P/+0TS2-0880:R1StopS2-0880:1vs2
S2-0880-C8:H11-11S2-0880:1PS2-0880:5B/6P/+0TS2-0880:R1StopS2-0880:1vs1
S2-0880-C9:H12-12S2-0880:1BS2-0880:6B/6P/+0TS2-0880:R1StopS2-0880:1vs1
  • S2-0880 BEB #7 (BLUE): Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).
  • S2-0880 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0880 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0880 DERIVED-ROAD & NEXT-HAND PROBE

S2-0880 Lookback Audit (30R/42B BEB · 35R/35B SR · 29R/40B CP)

Summarizing S2-0880 across derived roads: BEB prints 30R/42B (41.7% Red), SR prints 35R/35B (50.0% Red), and CP prints 29R/40B (42.0% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

If Hand #84 were dealt in S2-0880, a Banker outcome would mark BEB BLUE / SR BLUE / CP BLUE whereas a Player outcome would mark BEB RED / SR RED / CP RED under deterministic lookback rules.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0880 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0880 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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