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FINAL TOTAL RESOLUTION [RES318] · 5-CARD PROOF

Player 5 + 2 (2) vs. Banker 5 (Stands at 5): 5-Card Resolution #318

In walkthrough RES318, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with 2+3 (5) and stands pat at 5 (5-card P outcome).

RES318 Player Path
P:5->7
RES318 Banker Path
B:5->5
RES318 Deal Length
5 Cards
RES318 Showdown
P (7v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 5-card resolution RES318 (P5+2->7 vs B5->5).

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

RES318 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

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

RES318 Fifth-Card Modulo Proof
(5 + 2) mod 10 = 7 via 2

Player draws fifth-card 2 (value 2), transforming two-card 5 into three-card 7.

RES318 Banker Tableau Lookup
BANKER_TABLEAU[5][2] = false

Banker 5 stands pat at 5 without pulling sixth-card 3 (3).

RES318 Card Count & Winner
5 Cards -> P (7 vs 5)

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

RES318 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 · RES318

Step-by-Step Card Arithmetic for RES318: P(A+4)+2 vs B(2+3)

In coup [RES318], initial cards deal A+4=5 to Player and 2+3=5 to Banker; lacking a four-card natural, Player takes fifth-card 2 (2) where raw sum 7 projects onto the 0..9 ring to 7.

[RES318-B] Five-card branch [RES318] ends as 2 (2) falls outside 5-point four-value window (4..7), keeping Banker 5 at 5 rather than 8 via 3.

Complete 5-Card Resolution Trace for RES318
RES318 StageRES318 CardsRES318 Modulo MathRES318 Status
[RES318:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES318:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES318:6th]Banker Stands (skip 3=3)Locked at 55-Card Final
[RES318:Settle]P=7 vs B=5Winner: PBig Road +P
  • [RES318-1] Confirm [RES318] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES318-2] Add [RES318] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES318-3] Run [RES318] BANKER_TABLEAU[5][2]=false to settle 7 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES318

Showdown Settlement & Scoreboard Logging for RES318 (7 vs 5)

[RES318-C2] Comparing [RES318] final totals (5c), Player 7 vs Banker 5 awards [RES318] to Player (P), which pays 1:1 even money on [RES318] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES318-D10] Side-bet & road check for [RES318] (P5+2->7 vs B5->5, 5c): [RES318] leaves [RES318] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES318] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES318] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES318, Banker 5 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[5][2] = false.
MythBecause RES318 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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