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FINAL TOTAL RESOLUTION [RES392] · 5-CARD PROOF

Player 1 + 5 (5) vs. Banker 6 (Stands at 6): 5-Card Resolution #392

In walkthrough RES392, Player opens with 7+4 (1) and draws fifth-card 5 (5) for a modulo-10 total of 6, while Banker opens with 2+4 (6) and stands pat at 6 (5-card T outcome).

RES392 Player Path
P:1->6
RES392 Banker Path
B:6->6
RES392 Deal Length
5 Cards
RES392 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES392 (P1+5->6 vs B6->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

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig 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

RES392 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+4=6

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,4])=6.

RES392 Fifth-Card Modulo Proof
(1 + 5) mod 10 = 6 via 5

Player draws fifth-card 5 (value 5), transforming two-card 1 into three-card 6.

RES392 Banker Tableau Lookup
BANKER_TABLEAU[6][5] = false

Banker 6 stands pat at 6 without pulling sixth-card 5 (5).

RES392 Card Count & Winner
5 Cards -> T (6 vs 6)

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

RES392 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 · RES392

Step-by-Step Card Arithmetic for RES392: P(7+4)+5 vs B(2+4)

Step-by-step proof [RES392] pairs Player 7+4 (1) with Banker 2+4 (6); because 1 sits in the 0..5 draw zone, fifth-card 5 (5) lands and 1+5=6 resolves the unit-digit sum to 6.

[RES392-B] Under 6-point two-value trigger (6..7) for [RES392], 5 (5) closes action at 5c with Banker at 6 (had 5=5 landed, 6+5=11 -> 1).

Complete 5-Card Resolution Trace for RES392
RES392 StageRES392 CardsRES392 Modulo MathRES392 Status
[RES392:Init]P(7+4)=1 vs B(2+4)=6playerShouldDraw(1)=true4-Card Deal
[RES392:5th]Player +5 (5)(1+5) mod 10 = 65th Card Sideways
[RES392:6th]Banker Stands (skip 5=5)Locked at 65-Card Final
[RES392:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES392-1] Confirm [RES392] opening P=1 (7+4) and B=6 (2+4) lack Natural 8/9.
  • [RES392-2] Add [RES392] fifth-card 5 (5) to P=1 for (1+5) mod 10 = 6.
  • [RES392-3] Run [RES392] BANKER_TABLEAU[6][5]=false to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES392

Showdown Settlement & Scoreboard Logging for RES392 (6 vs 6)

[RES392-C9] Comparing [RES392] final totals (5c), Player 6 vs Banker 6 awards [RES392] to Tie (T), which pushes main [RES392] Player/Banker wagers while settling [RES392] Tie bets at 8:1 or 9:1 and appends T to PPBBPBPBBB.

[RES392-D0] Side-bet & road check for [RES392] (P1+5->6 vs B6->6, 5c): [RES392] leaves [RES392] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES392] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES392] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES392, Banker 6 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[6][5] = false.
MythBecause RES392 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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