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FINAL TOTAL RESOLUTION [RES326] · 6-CARD PROOF

Player 1 + 4 (4) vs. Banker 5 (Draws 5 (5)): 6-Card Resolution #326

In walkthrough RES326, Player opens with 7+4 (1) and draws fifth-card 4 (4) for a modulo-10 total of 5, while Banker opens with 2+3 (5) and draws sixth-card 5 (5) for 0 (6-card P outcome).

RES326 Player Path
P:1->5
RES326 Banker Path
B:5->0
RES326 Deal Length
6 Cards
RES326 Showdown
P (5v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES326 (P1+4->5 vs B5->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

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.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. 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 1 bead. Column 3 has 2 beads. 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

RES326 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+3=5

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,3])=5.

RES326 Fifth-Card Modulo Proof
(1 + 4) mod 10 = 5 via 4

Player draws fifth-card 4 (value 4), transforming two-card 1 into three-card 5.

RES326 Banker Tableau Lookup
BANKER_TABLEAU[5][4] = true

Banker 5 draws sixth-card 5 (5) so (5+5) mod 10 = 0.

RES326 Card Count & Winner
6 Cards -> P (5 vs 0)

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

RES326 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 · RES326

Step-by-Step Card Arithmetic for RES326: P(7+4)+4 vs B(2+3)

Within resolution [RES326], Player's opening 7+4 totals 1 against Banker's 2+3 (5); Punto Banco rules require drawing 4 (4), and 1+4=5 extracts the terminal digit to 5.

[RES326-B] Under 5-point four-value window (4..7) for [RES326], exposed 4 (4) obligates Banker 5 to draw 5 (5), converting 5+5=10 into 0.

Complete 6-Card Resolution Trace for RES326
RES326 StageRES326 CardsRES326 Modulo MathRES326 Status
[RES326:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES326:5th]Player +4 (4)(1+4) mod 10 = 55th Card Sideways
[RES326:6th]Banker +5 (5)(5+5) mod 10 = 06-Card Final
[RES326:Settle]P=5 vs B=0Winner: PBig Road +P
  • [RES326-1] Confirm [RES326] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES326-2] Add [RES326] fifth-card 4 (4) to P=1 for (1+4) mod 10 = 5.
  • [RES326-3] Run [RES326] BANKER_TABLEAU[5][4]=true to settle 5 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES326

Showdown Settlement & Scoreboard Logging for RES326 (5 vs 0)

[RES326-C9] Comparing [RES326] final totals (6c), Player 5 vs Banker 0 awards [RES326] to Player (P), which pays 1:1 even money on [RES326] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES326-D4] Side-bet & road check for [RES326] (P1+4->5 vs B5->0, 6c): [RES326] leaves [RES326] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES326] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES326] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES326, Banker 5 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[5][4] = true.
MythBecause RES326 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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