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FINAL TOTAL RESOLUTION [RES014] · 6-CARD PROOF

Player 1 + 2 (2) vs. Banker 0 (Draws 2 (2)): 6-Card Resolution #14

In walkthrough RES014, Player opens with 7+4 (1) and draws fifth-card 2 (2) for a modulo-10 total of 3, while Banker opens with 6+4 (0) and draws sixth-card 2 (2) for 2 (6-card P outcome).

RES014 Player Path
P:1->3
RES014 Banker Path
B:0->2
RES014 Deal Length
6 Cards
RES014 Showdown
P (3v2)
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 RES014 (P1+2->3 vs B0->2).

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

RES014 Four-Card Opening Deal
Player 7+4=1 vs Banker 6+4=0

Verified non-natural start via handTotal([7,4])=1 and handTotal([6,4])=0.

RES014 Fifth-Card Modulo Proof
(1 + 2) mod 10 = 3 via 2

Player draws fifth-card 2 (value 2), transforming two-card 1 into three-card 3.

RES014 Banker Tableau Lookup
BANKER_TABLEAU[0][2] = true

Banker 0 draws sixth-card 2 (2) so (0+2) mod 10 = 2.

RES014 Card Count & Winner
6 Cards -> P (3 vs 2)

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

RES014 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 · RES014

Step-by-Step Card Arithmetic for RES014: P(7+4)+2 vs B(6+4)

Step-by-step proof [RES014] pairs Player 7+4 (1) with Banker 6+4 (0); because 1 sits in the 0..5 draw zone, fifth-card 2 (2) lands and 1+2=3 resolves the unit-digit sum to 3.

[RES014-B] Under 0-point unconditional draw tier for [RES014], exposed 2 (2) obligates Banker 0 to draw 2 (2), converting 0+2=2 into 2.

Complete 6-Card Resolution Trace for RES014
RES014 StageRES014 CardsRES014 Modulo MathRES014 Status
[RES014:Init]P(7+4)=1 vs B(6+4)=0playerShouldDraw(1)=true4-Card Deal
[RES014:5th]Player +2 (2)(1+2) mod 10 = 35th Card Sideways
[RES014:6th]Banker +2 (2)(0+2) mod 10 = 26-Card Final
[RES014:Settle]P=3 vs B=2Winner: PBig Road +P
  • [RES014-1] Confirm [RES014] opening P=1 (7+4) and B=0 (6+4) lack Natural 8/9.
  • [RES014-2] Add [RES014] fifth-card 2 (2) to P=1 for (1+2) mod 10 = 3.
  • [RES014-3] Run [RES014] BANKER_TABLEAU[0][2]=true to settle 3 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES014

Showdown Settlement & Scoreboard Logging for RES014 (3 vs 2)

[RES014-C0] Comparing [RES014] final totals (6c), Player 3 vs Banker 2 awards [RES014] to Player (P), which pays 1:1 even money on [RES014] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES014-D4] Side-bet & road check for [RES014] (P1+2->3 vs B0->2, 6c): [RES014] leaves [RES014] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES014] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES014] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES014, Banker 0 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[0][2] = true.
MythBecause RES014 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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