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FINAL TOTAL RESOLUTION [RES372] · 5-CARD PROOF

Player 5 + A (1) vs. Banker 6 (Stands at 6): 5-Card Resolution #372

In walkthrough RES372, Player opens with A+4 (5) and draws fifth-card A (1) for a modulo-10 total of 6, while Banker opens with 2+4 (6) and stands pat at 6 (5-card T outcome).

RES372 Player Path
P:5->6
RES372 Banker Path
B:6->6
RES372 Deal Length
5 Cards
RES372 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES372 (P5+1->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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES372 Four-Card Opening Deal
Player A+4=5 vs Banker 2+4=6

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,4])=6.

RES372 Fifth-Card Modulo Proof
(5 + 1) mod 10 = 6 via A

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

RES372 Banker Tableau Lookup
BANKER_TABLEAU[6][1] = false

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

RES372 Card Count & Winner
5 Cards -> T (6 vs 6)

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

RES372 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 · RES372

Step-by-Step Card Arithmetic for RES372: P(A+4)+A vs B(2+4)

Arithmetic trace [RES372] starts from four-card deal A+4=5 vs 2+4=6; Player's compulsory draw of A (pip value 1) produces raw 6, which wraps modulo-10 to 6.

[RES372-B] Next in [RES372], Banker applies 6-point two-value trigger (6..7): vs A (1), Banker 6 stands at 6 in 5c (skipping 5=5 -> 1).

Complete 5-Card Resolution Trace for RES372
RES372 StageRES372 CardsRES372 Modulo MathRES372 Status
[RES372:Init]P(A+4)=5 vs B(2+4)=6playerShouldDraw(5)=true4-Card Deal
[RES372:5th]Player +A (1)(5+1) mod 10 = 65th Card Sideways
[RES372:6th]Banker Stands (skip 5=5)Locked at 65-Card Final
[RES372:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES372-1] Confirm [RES372] opening P=5 (A+4) and B=6 (2+4) lack Natural 8/9.
  • [RES372-2] Add [RES372] fifth-card A (1) to P=5 for (5+1) mod 10 = 6.
  • [RES372-3] Run [RES372] BANKER_TABLEAU[6][1]=false to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES372

Showdown Settlement & Scoreboard Logging for RES372 (6 vs 6)

[RES372-C8] Comparing [RES372] final totals (5c), Player 6 vs Banker 6 awards [RES372] to Tie (T), which pushes main [RES372] Player/Banker wagers while settling [RES372] Tie bets at 8:1 or 9:1 and appends T to PPBBBPPBPP.

[RES372-D2] Side-bet & road check for [RES372] (P5+1->6 vs B6->6, 5c): [RES372] leaves [RES372] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES372] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES372] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES372, Banker 6 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[6][1] = false.
MythBecause RES372 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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