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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0877 (SEED 344504)

Rule 2 Case 3 Overhang S2-0877: 75-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0877 (seed 344504) documents a deep columns extending two or more rows past short lookback columns over 75 hands (35 Banker, 36 Player, 4 Tie). Its 39 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 68 Big Eye Boy marks (36R/32B), 66 Small Road marks (30R/36B), and 65 Cockroach Pig marks (27R/38B).

Verified 8-Deck Hands
75 (S2-0877)
Outcome Split
35B / 36P / 4T
Longest Streaks
5B · 5P
Big Road Columns
39 Cols
Engine-Verified Scoreboard · 75 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 P B P P P B P B P B B P P P P P B B B B B P B P B P B P B B B B B P P B B B P B P B B P P P P B P P P B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = ≠ = = = = = ≠ = = = = = = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ = = ≠ =
Small Road ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ = ≠ = = ≠ ≠ ≠ = = = = = ≠ ≠ = = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ = = = = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ = = = ≠ ≠ ≠ ≠ = = = = ≠ ≠ = ≠ = = ≠ = = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ = ≠ =

S2-0877 (seed 344504): 75 hands (35B / 36P / 4T), max streaks 5B & 5P across 39 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)
S2-0877 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.

S2-0877 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.

S2-0877 CP Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0877 8-Deck Hand Count
75 Hands (35 Banker / 36 Player / 4 Tie)

Seed 344504 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H22,H48,H52,H71).

S2-0877 Big Road Span & Max Streaks
Max 5B / Max 5P Across 39 Logical Cols (39 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.

S2-0877 Big Eye Boy Rule Split
68 Marks (36R / 32B · 52.9% Red Across 37 Cols)

Rule 1: 37 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

S2-0877 Small Road & Cockroach Pig Split
SR: 30R/36B (45.5% Red) · CP: 27R/38B (41.5% Red)

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

S2-0877 Hand #76 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #75 of S2-0877.

S2-0877 SCOREBOARD STRUCTURE

S2-0877 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Inside shoe S2-0877 (deterministic seed 344504), 75 dealt outcomes split 35 Banker, 36 Player, and 4 Tie across 39 Big Road columns (39 grid columns; opening sequence C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) to illustrate 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.

Across S2-0877, top streaks of 5B and 5P and tie index set H22,H48,H52,H71 yield 37 Rule 1 marks, 0 Case 1 marks, 0 Case 2 marks, and 31 Case 3 marks on Lookback 1.

Opening 9 Big Road Columns of S2-0877 (Seed 344504)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0877-C1:H1-2S2-0877:2BS2-0877:2B/0P/+0TS2-0877:R2StopS2-0877:2vs2
S2-0877-C2:H3-4S2-0877:2PS2-0877:2B/2P/+0TS2-0877:R2StopS2-0877:2vs2
S2-0877-C3:H5-5S2-0877:1BS2-0877:3B/2P/+0TS2-0877:R1StopS2-0877:1vs2
S2-0877-C4:H6-6S2-0877:1PS2-0877:3B/3P/+0TS2-0877:R1StopS2-0877:1vs1
S2-0877-C5:H7-7S2-0877:1BS2-0877:4B/3P/+0TS2-0877:R1StopS2-0877:1vs1
S2-0877-C6:H8-9S2-0877:2PS2-0877:4B/5P/+0TS2-0877:R2StopS2-0877:2vs1
S2-0877-C7:H10-10S2-0877:1BS2-0877:5B/5P/+0TS2-0877:R1StopS2-0877:1vs2
S2-0877-C8:H11-13S2-0877:3PS2-0877:5B/8P/+0TS2-0877:R3StopS2-0877:3vs1
S2-0877-C9:H14-14S2-0877:1BS2-0877:6B/8P/+0TS2-0877:R1StopS2-0877:1vs3
  • S2-0877 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0877 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0877 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0877 DERIVED-ROAD & NEXT-HAND PROBE

S2-0877 Lookback Audit (36R/32B BEB · 30R/36B SR · 27R/38B CP)

Lookback audit S2-0877 records 36R/32B (52.9% Red) on Big Eye Boy, 30R/36B (45.5% Red) on Small Road, and 27R/38B (41.5% Red) on Cockroach Pig. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Should S2-0877 deal Hand #76, ?B records BEB RED, SR RED, CP RED while ?P records BEB BLUE, SR BLUE, CP BLUE across the three derived grids.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0877 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0877 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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