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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0870 (SEED 280272)

Rule 2 Case 3 Overhang S2-0870: 77-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0870 (seed 280272) documents a deep columns extending two or more rows past short lookback columns over 77 hands (38 Banker, 33 Player, 6 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 68 Big Eye Boy marks (38R/30B), 66 Small Road marks (29R/37B), and 65 Cockroach Pig marks (26R/39B).

Verified 8-Deck Hands
77 (S2-0870)
Outcome Split
38B / 33P / 6T
Longest Streaks
4B · 5P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 77 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 P B P B P P B P P P P P P B B P B B B B P B B B P P P B B P B B B P B B B P P B B P P B B P P P B B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = = ≠ ≠ = = = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = = = ≠ = = = ≠ ≠ ≠ ≠ = ≠ = ≠ = = = = = = ≠ = ≠ = ≠ = = =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = = ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ = ≠ = = = ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ = = = ≠ ≠ = ≠ = = = = ≠ ≠ ≠ = ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠ = ≠ = ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ = ≠ = = = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠

S2-0870 (seed 280272): 77 hands (38B / 33P / 6T), max streaks 4B & 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)
S2-0870 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0870 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.

S2-0870 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

S2-0870 8-Deck Hand Count
77 Hands (38 Banker / 33 Player / 6 Tie)

Seed 280272 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H22,H30,H50,H65).

S2-0870 Big Road Span & Max Streaks
Max 4B / 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.

S2-0870 Big Eye Boy Rule Split
68 Marks (38R / 30B · 55.9% Red Across 33 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0870 Small Road & Cockroach Pig Split
SR: 29R/37B (43.9% Red) · CP: 26R/39B (40.0% Red)

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

S2-0870 Hand #78 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP RED | If P -> BEB RED, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #77 of S2-0870.

S2-0870 SCOREBOARD STRUCTURE

S2-0870 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Dealing 77 hands from seed 280272, shoe S2-0870 posts 38 Banker, 33 Player, and 6 Tie outcomes across 38 columns (38 display columns; C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) in 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.

For S2-0870, peak vertical runs of 4B and 5P and tie hands H22,H30,H50,H65 translate into 36 Rule 1, 0 Case 1, 0 Case 2, and 32 Case 3 Big Eye Boy marks.

Opening 9 Big Road Columns of S2-0870 (Seed 280272)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0870-C1:H1-2S2-0870:2BS2-0870:2B/0P/+0TS2-0870:R2StopS2-0870:2vs2
S2-0870-C2:H3-4S2-0870:2PS2-0870:2B/2P/+0TS2-0870:R2StopS2-0870:2vs2
S2-0870-C3:H5-5S2-0870:1BS2-0870:3B/2P/+0TS2-0870:R1StopS2-0870:1vs2
S2-0870-C4:H6-6S2-0870:1PS2-0870:3B/3P/+0TS2-0870:R1StopS2-0870:1vs1
S2-0870-C5:H7-7S2-0870:1BS2-0870:4B/3P/+0TS2-0870:R1StopS2-0870:1vs1
S2-0870-C6:H8-9S2-0870:2PS2-0870:4B/5P/+0TS2-0870:R2StopS2-0870:2vs1
S2-0870-C7:H10-11S2-0870:2BS2-0870:6B/5P/+0TS2-0870:R2StopS2-0870:2vs2
S2-0870-C8:H12-12S2-0870:1PS2-0870:6B/6P/+0TS2-0870:R1StopS2-0870:1vs2
S2-0870-C9:H13-14S2-0870:2BS2-0870:8B/6P/+0TS2-0870:R2StopS2-0870:2vs1
  • S2-0870 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0870 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0870 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0870 DERIVED-ROAD & NEXT-HAND PROBE

S2-0870 Lookback Audit (38R/30B BEB · 29R/37B SR · 26R/39B CP)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=). In S2-0870, Big Eye Boy finishes 38R/30B (55.9% Red), Small Road finishes 29R/37B (43.9% Red), and Cockroach Pig finishes 26R/39B (40.0% Red).

Evaluating getNextRoadPredictions() after Hand #77 in S2-0870 maps Banker on Hand #78 to BEB BLUE, SR BLUE, CP RED and Player on Hand #78 to BEB RED, SR RED, CP BLUE.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0870 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0870 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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