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FINAL TOTAL RESOLUTION [RES349] · 5-CARD PROOF

Player 0 + 8 (8) vs. Banker 5 (Stands at 5): 5-Card Resolution #349

In walkthrough RES349, Player opens with 10+K (0) and draws fifth-card 8 (8) for a modulo-10 total of 8, while Banker opens with A+4 (5) and stands pat at 5 (5-card P outcome).

RES349 Player Path
P:0->8
RES349 Banker Path
B:5->5
RES349 Deal Length
5 Cards
RES349 Showdown
P (8v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES349 (P0+8->8 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

RES349 Four-Card Opening Deal
Player 10+K=0 vs Banker A+4=5

Verified non-natural start via handTotal([10,K])=0 and handTotal([A,4])=5.

RES349 Fifth-Card Modulo Proof
(0 + 8) mod 10 = 8 via 8

Player draws fifth-card 8 (value 8), transforming two-card 0 into three-card 8.

RES349 Banker Tableau Lookup
BANKER_TABLEAU[5][8] = false

Banker 5 stands pat at 5 without pulling sixth-card 7 (7).

RES349 Card Count & Winner
5 Cards -> P (8 vs 5)

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

RES349 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 · RES349

Step-by-Step Card Arithmetic for RES349: P(10+K)+8 vs B(A+4)

Hand record [RES349] tracks Player 0 (10+K) facing Banker 5 (A+4); with zero naturals on the felt, the fifth card 8 (worth 8) arrives and 8 calculates the mod-10 residue to 8.

[RES349-B] Because BANKER_TABLEAU[5][8]=false (5-point four-value window (4..7)) in [RES349], Banker 5 locks 5 at 5c (leaving 7=7 -> 2 unpulled).

Complete 5-Card Resolution Trace for RES349
RES349 StageRES349 CardsRES349 Modulo MathRES349 Status
[RES349:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES349:5th]Player +8 (8)(0+8) mod 10 = 85th Card Sideways
[RES349:6th]Banker Stands (skip 7=7)Locked at 55-Card Final
[RES349:Settle]P=8 vs B=5Winner: PBig Road +P
  • [RES349-1] Confirm [RES349] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES349-2] Add [RES349] fifth-card 8 (8) to P=0 for (0+8) mod 10 = 8.
  • [RES349-3] Run [RES349] BANKER_TABLEAU[5][8]=false to settle 8 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES349

Showdown Settlement & Scoreboard Logging for RES349 (8 vs 5)

[RES349-C3] Comparing [RES349] final totals (5c), Player 8 vs Banker 5 awards [RES349] to Player (P), which pays 1:1 even money on [RES349] Player boxes with zero commission deducted and appends P to BBPPBBPPPB.

[RES349-D3] Side-bet & road check for [RES349] (P0+8->8 vs B5->5, 5c): [RES349] leaves [RES349] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and triggers [RES349] Panda 8 (winning 3-card Player 8, 25:1); on [RES349] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES349, Banker 5 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[5][8] = false.
MythBecause RES349 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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