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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0861 (SEED 197688)

Rule 2 Case 3 Overhang S2-0861: 70-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0861 (seed 197688) documents a deep columns extending two or more rows past short lookback columns over 70 hands (34 Banker, 30 Player, 6 Tie). Its 35 logical columns span 35 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 61 Big Eye Boy marks (36R/25B), 59 Small Road marks (30R/29B), and 58 Cockroach Pig marks (26R/32B).

Verified 8-Deck Hands
70 (S2-0861)
Outcome Split
34B / 30P / 6T
Longest Streaks
6B · 5P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 70 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 P B B P B P P B P B B B B B B P P P B B B B B P P B P P B P B P B B B B B P P P P P B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = = = ≠ = = = = ≠ = = ≠ = = = ≠ ≠ ≠ = = = = = = ≠ = = = ≠ = ≠ ≠ ≠ = ≠ = = ≠ = ≠ =
Small Road ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ = = = = ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = = ≠ ≠ = = ≠ = ≠ = = = = ≠ = = = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = = ≠ = ≠ = = = = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ = = ≠ = ≠ ≠

S2-0861 (seed 197688): 70 hands (34B / 30P / 6T), max streaks 6B & 5P across 35 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)
S2-0861 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.

S2-0861 SR Mark #6

Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

S2-0861 CP Mark #2

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

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

S2-0861 8-Deck Hand Count
70 Hands (34 Banker / 30 Player / 6 Tie)

Seed 197688 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H24,H26,H41,H48).

S2-0861 Big Road Span & Max Streaks
Max 6B / Max 5P Across 35 Logical Cols (35 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.

S2-0861 Big Eye Boy Rule Split
61 Marks (36R / 25B · 59.0% Red Across 33 Cols)

Rule 1: 33 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 28.

S2-0861 Small Road & Cockroach Pig Split
SR: 30R/29B (50.8% Red) · CP: 26R/32B (44.8% Red)

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

S2-0861 Hand #71 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #70 of S2-0861.

S2-0861 SCOREBOARD STRUCTURE

S2-0861 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Scoreboard record S2-0861 (seed 197688) spans 70 hands (34B / 30P / 6T) and 35 logical columns (35 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), centering on 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.

Lookback-1 classification for S2-0861 (max 6B, max 5P, ties H24,H26,H41,H48) counts 33 Rule 1new-column checks, 0 Case 1 row checks, 0 Case 2 tips, and 28 Case 3 overhangs.

Opening 9 Big Road Columns of S2-0861 (Seed 197688)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0861-C1:H1-2S2-0861:2BS2-0861:2B/0P/+0TS2-0861:R2StopS2-0861:2vs2
S2-0861-C2:H3-4S2-0861:2PS2-0861:2B/2P/+0TS2-0861:R2StopS2-0861:2vs2
S2-0861-C3:H5-5S2-0861:1BS2-0861:3B/2P/+0TS2-0861:R1StopS2-0861:1vs2
S2-0861-C4:H6-6S2-0861:1PS2-0861:3B/3P/+0TS2-0861:R1StopS2-0861:1vs1
S2-0861-C5:H7-7S2-0861:1BS2-0861:4B/3P/+0TS2-0861:R1StopS2-0861:1vs1
S2-0861-C6:H8-9S2-0861:2PS2-0861:4B/5P/+0TS2-0861:R2StopS2-0861:2vs1
S2-0861-C7:H10-10S2-0861:1BS2-0861:5B/5P/+0TS2-0861:R1StopS2-0861:1vs2
S2-0861-C8:H11-11S2-0861:1PS2-0861:5B/6P/+0TS2-0861:R1StopS2-0861:1vs1
S2-0861-C9:H12-12S2-0861:1BS2-0861:6B/6P/+0TS2-0861:R1StopS2-0861:1vs1
  • S2-0861 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0861 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0861 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0861 DERIVED-ROAD & NEXT-HAND PROBE

S2-0861 Lookback Audit (36R/25B BEB · 30R/29B SR · 26R/32B CP)

Every derived road in S2-0861 is verified from the Big Road columns: 36R/25B (59.0% Red) on BEB, 30R/29B (50.8% Red) on SR, and 26R/32B (44.8% Red) on CP. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

At Hand #71 of S2-0861, the next-hand road probe shows B -> (RED, RED, RED) and P -> (BLUE, BLUE, BLUE) across Big Eye Boy, Small Road, and Cockroach Pig without altering 8-deck probabilities.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0861 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0861 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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