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FINAL TOTAL RESOLUTION [RES077] · 6-CARD PROOF

Player 4 + 2 (2) vs. Banker 1 (Draws 5 (5)): 6-Card Resolution #77

In walkthrough RES077, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with 7+4 (1) and draws sixth-card 5 (5) for 6 (6-card T outcome).

RES077 Player Path
P:4->6
RES077 Banker Path
B:1->6
RES077 Deal Length
6 Cards
RES077 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES077 (P4+2->6 vs B1->6).

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

RES077 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

Verified non-natural start via handTotal([2,2])=4 and handTotal([7,4])=1.

RES077 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES077 Banker Tableau Lookup
BANKER_TABLEAU[1][2] = true

Banker 1 draws sixth-card 5 (5) so (1+5) mod 10 = 6.

RES077 Card Count & Winner
6 Cards -> T (6 vs 6)

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

RES077 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES077

Step-by-Step Card Arithmetic for RES077: P(2+2)+2 vs B(7+4)

Matrix coordinate [RES077] isolates Player two-card 4 (2+2) and Banker 1 (7+4); dealing fifth-card 2 (2) yields raw 6 that retains the rightmost digit to 6.

[RES077-B] Acting on 2=2 inside [RES077], Banker 1 follows 1-point automatic draw row and pulls 5 (5) for 1+5=6 -> 6.

Complete 6-Card Resolution Trace for RES077
RES077 StageRES077 CardsRES077 Modulo MathRES077 Status
[RES077:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES077:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES077:6th]Banker +5 (5)(1+5) mod 10 = 66-Card Final
[RES077:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES077-1] Confirm [RES077] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES077-2] Add [RES077] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES077-3] Run [RES077] BANKER_TABLEAU[1][2]=true to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES077

Showdown Settlement & Scoreboard Logging for RES077 (6 vs 6)

[RES077-C7] Comparing [RES077] final totals (6c), Player 6 vs Banker 6 awards [RES077] to Tie (T), which pushes main [RES077] Player/Banker wagers while settling [RES077] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPPPB.

[RES077-D12] Side-bet & road check for [RES077] (P4+2->6 vs B1->6, 6c): [RES077] leaves [RES077] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES077] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES077] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES077, Banker 1 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[1][2] = true.
MythBecause RES077 resolves as T, the next derived-road mark must match T'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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