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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0868 (SEED 261920)

Rule 2 Case 3 Overhang S2-0868: 68-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0868 (seed 261920) documents a deep columns extending two or more rows past short lookback columns over 68 hands (35 Banker, 28 Player, 5 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 60 Big Eye Boy marks (30R/30B), 58 Small Road marks (28R/30B), and 57 Cockroach Pig marks (25R/32B).

Verified 8-Deck Hands
68 (S2-0868)
Outcome Split
35B / 28P / 5T
Longest Streaks
4B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 68 Hands

Read the Board at Table Speed

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

S2-0868 (seed 261920): 68 hands (35B / 28P / 5T), max streaks 4B & 4P across 33 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)
S2-0868 BEB Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0868 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.

S2-0868 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

S2-0868 8-Deck Hand Count
68 Hands (35 Banker / 28 Player / 5 Tie)

Seed 261920 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H22,H29,H39,H44).

S2-0868 Big Road Span & Max Streaks
Max 4B / Max 4P Across 33 Logical Cols (33 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.

S2-0868 Big Eye Boy Rule Split
60 Marks (30R / 30B · 50.0% Red Across 29 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

S2-0868 Small Road & Cockroach Pig Split
SR: 28R/30B (48.3% Red) · CP: 25R/32B (43.9% Red)

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

S2-0868 Hand #69 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #68 of S2-0868.

S2-0868 SCOREBOARD STRUCTURE

S2-0868 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Walkthrough S2-0868 (seed 261920) examines a deep columns extending two or more rows past short lookback columns across 68 verified 8-deck hands (35B, 28P, 5T) arranged into 33 logical columns and 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B). Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

Column depth extremes of 4B and 4P in S2-0868 (tie hands H22,H29,H39,H44) produce 31 Rule 1 entries, 0 Rule 2 Case 1 entries, 0 Case 2 entries, and 29 Case 3 entries on Big Eye Boy.

Opening 9 Big Road Columns of S2-0868 (Seed 261920)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0868-C1:H1-2S2-0868:2BS2-0868:2B/0P/+0TS2-0868:R2StopS2-0868:2vs2
S2-0868-C2:H3-4S2-0868:2PS2-0868:2B/2P/+0TS2-0868:R2StopS2-0868:2vs2
S2-0868-C3:H5-5S2-0868:1BS2-0868:3B/2P/+0TS2-0868:R1StopS2-0868:1vs2
S2-0868-C4:H6-6S2-0868:1PS2-0868:3B/3P/+0TS2-0868:R1StopS2-0868:1vs1
S2-0868-C5:H7-7S2-0868:1BS2-0868:4B/3P/+0TS2-0868:R1StopS2-0868:1vs1
S2-0868-C6:H8-9S2-0868:2PS2-0868:4B/5P/+0TS2-0868:R2StopS2-0868:2vs1
S2-0868-C7:H10-12S2-0868:3BS2-0868:7B/5P/+0TS2-0868:R3StopS2-0868:3vs2
S2-0868-C8:H13-15S2-0868:3PS2-0868:7B/8P/+0TS2-0868:R3StopS2-0868:3vs3
S2-0868-C9:H16-18S2-0868:3BS2-0868:10B/8P/+0TS2-0868:R3StopS2-0868:3vs3
  • S2-0868 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0868 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0868 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0868 DERIVED-ROAD & NEXT-HAND PROBE

S2-0868 Lookback Audit (30R/30B BEB · 28R/30B SR · 25R/32B CP)

Final derived-road splits in S2-0868 are BEB 30R/30B (50.0% Red), SR 28R/30B (48.3% Red), and CP 25R/32B (43.9% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Running the ?B and ?P probe at Hand #69 of S2-0868 returns BEB RED, SR RED, CP RED for ?B and BEB BLUE, SR BLUE, CP BLUE for ?P.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0868 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0868 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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