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FINAL TOTAL RESOLUTION [RES078] · 6-CARD PROOF

Player 5 + 2 (2) vs. Banker 1 (Draws 9 (9)): 6-Card Resolution #78

In walkthrough RES078, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with 10+A (1) and draws sixth-card 9 (9) for 0 (6-card P outcome).

RES078 Player Path
P:5->7
RES078 Banker Path
B:1->0
RES078 Deal Length
6 Cards
RES078 Showdown
P (7v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P P B B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES078 (P5+2->7 vs B1->0).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

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

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

Small Road Mark #3

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 4 has 3 beads. 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 3 beads. 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

RES078 Four-Card Opening Deal
Player A+4=5 vs Banker 10+A=1

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,A])=1.

RES078 Fifth-Card Modulo Proof
(5 + 2) mod 10 = 7 via 2

Player draws fifth-card 2 (value 2), transforming two-card 5 into three-card 7.

RES078 Banker Tableau Lookup
BANKER_TABLEAU[1][2] = true

Banker 1 draws sixth-card 9 (9) so (1+9) mod 10 = 0.

RES078 Card Count & Winner
6 Cards -> P (7 vs 0)

Computed directly from resolveHand() with zero discretionary dealer options.

RES078 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES078

Step-by-Step Card Arithmetic for RES078: P(A+4)+2 vs B(10+A)

Arithmetic trace [RES078] starts from four-card deal A+4=5 vs 10+A=1; Player's compulsory draw of 2 (pip value 2) produces raw 7, which wraps modulo-10 to 7.

[RES078-B] Acting on 2=2 inside [RES078], Banker 1 follows 1-point automatic draw row and pulls 9 (9) for 1+9=10 -> 0.

Complete 6-Card Resolution Trace for RES078
RES078 StageRES078 CardsRES078 Modulo MathRES078 Status
[RES078:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES078:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES078:6th]Banker +9 (9)(1+9) mod 10 = 06-Card Final
[RES078:Settle]P=7 vs B=0Winner: PBig Road +P
  • [RES078-1] Confirm [RES078] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES078-2] Add [RES078] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES078-3] Run [RES078] BANKER_TABLEAU[1][2]=true to settle 7 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES078

Showdown Settlement & Scoreboard Logging for RES078 (7 vs 0)

[RES078-C1] Comparing [RES078] final totals (6c), Player 7 vs Banker 0 awards [RES078] to Player (P), which pays 1:1 even money on [RES078] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES078-D8] Side-bet & road check for [RES078] (P5+2->7 vs B1->0, 6c): [RES078] leaves [RES078] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES078] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES078] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES078, Banker 1 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[1][2] = true.
MythBecause RES078 resolves as P, the next derived-road mark must match P's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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