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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0858 (SEED 170160)

Rule 2 Case 3 Overhang S2-0858: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0858 (seed 170160) documents a deep columns extending two or more rows past short lookback columns over 65 hands (32 Banker, 32 Player, 1 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 61 Big Eye Boy marks (32R/29B), 59 Small Road marks (30R/29B), and 58 Cockroach Pig marks (31R/27B).

Verified 8-Deck Hands
65 (S2-0858)
Outcome Split
32B / 32P / 1T
Longest Streaks
7B · 7P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

S2-0858 (seed 170160): 65 hands (32B / 32P / 1T), max streaks 7B & 7P 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)
S2-0858 BEB Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 2 goes down to Row 2, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

S2-0858 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.

S2-0858 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

S2-0858 8-Deck Hand Count
65 Hands (32 Banker / 32 Player / 1 Tie)

Seed 170160 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H36).

S2-0858 Big Road Span & Max Streaks
Max 7B / Max 7P 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.

S2-0858 Big Eye Boy Rule Split
61 Marks (32R / 29B · 52.5% Red Across 30 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 30.

S2-0858 Small Road & Cockroach Pig Split
SR: 30R/29B (50.8% Red) · CP: 31R/27B (53.4% Red)

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

S2-0858 Hand #66 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP BLUE | If P -> BEB BLUE, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #65 of S2-0858.

S2-0858 SCOREBOARD STRUCTURE

S2-0858 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Recording 32 Banker wins, 32 Player wins, and 1 Ties over 65 hands, catalog entry S2-0858 (seed 170160) maps 33 logical columns onto 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) as 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.

Auditing S2-0858 shows maximum runs of 7B and 7P (ties at H36) alongside 31 Rule 1 checks, 0 Case 1 checks, 0 Case 2 checks, and 30 Case 3 checks.

Opening 9 Big Road Columns of S2-0858 (Seed 170160)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0858-C1:H1-2S2-0858:2BS2-0858:2B/0P/+0TS2-0858:R2StopS2-0858:2vs2
S2-0858-C2:H3-4S2-0858:2PS2-0858:2B/2P/+0TS2-0858:R2StopS2-0858:2vs2
S2-0858-C3:H5-5S2-0858:1BS2-0858:3B/2P/+0TS2-0858:R1StopS2-0858:1vs2
S2-0858-C4:H6-6S2-0858:1PS2-0858:3B/3P/+0TS2-0858:R1StopS2-0858:1vs1
S2-0858-C5:H7-7S2-0858:1BS2-0858:4B/3P/+0TS2-0858:R1StopS2-0858:1vs1
S2-0858-C6:H8-9S2-0858:2PS2-0858:4B/5P/+0TS2-0858:R2StopS2-0858:2vs1
S2-0858-C7:H10-10S2-0858:1BS2-0858:5B/5P/+0TS2-0858:R1StopS2-0858:1vs2
S2-0858-C8:H11-13S2-0858:3PS2-0858:5B/8P/+0TS2-0858:R3StopS2-0858:3vs1
S2-0858-C9:H14-16S2-0858:3BS2-0858:8B/8P/+0TS2-0858:R3StopS2-0858:3vs3
  • S2-0858 BEB #1 (RED): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
  • S2-0858 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0858 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0858 DERIVED-ROAD & NEXT-HAND PROBE

S2-0858 Lookback Audit (32R/29B BEB · 30R/29B SR · 31R/27B CP)

On the lower boards of S2-0858, Big Eye Boy marks 32R/29B (52.5% Red), Small Road marks 30R/29B (50.8% Red), and Cockroach Pig marks 31R/27B (53.4% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Hand #66 projection table for S2-0858: Banker triggers BEB RED, SR BLUE, CP BLUE; Player triggers BEB BLUE, SR RED, CP RED.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0858 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0858 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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