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FINAL TOTAL RESOLUTION [RES370] · 5-CARD PROOF

Player 3 + A (1) vs. Banker 6 (Stands at 6): 5-Card Resolution #370

In walkthrough RES370, Player opens with 9+4 (3) and draws fifth-card A (1) for a modulo-10 total of 4, while Banker opens with 2+4 (6) and stands pat at 6 (5-card B outcome).

RES370 Player Path
P:3->4
RES370 Banker Path
B:6->6
RES370 Deal Length
5 Cards
RES370 Showdown
B (4v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES370 (P3+1->4 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

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES370 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+4=6

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,4])=6.

RES370 Fifth-Card Modulo Proof
(3 + 1) mod 10 = 4 via A

Player draws fifth-card A (value 1), transforming two-card 3 into three-card 4.

RES370 Banker Tableau Lookup
BANKER_TABLEAU[6][1] = false

Banker 6 stands pat at 6 without pulling sixth-card 7 (7).

RES370 Card Count & Winner
5 Cards -> B (4 vs 6)

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

RES370 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES370

Step-by-Step Card Arithmetic for RES370: P(9+4)+A vs B(2+4)

Canonical test [RES370] examines Player 3 (9+4) against Banker 6 (2+4); the fifth card A (1) brings Player's raw count to 4, which computes the single-digit remainder to 4.

[RES370-B] Five-card branch [RES370] ends as A (1) falls outside 6-point two-value trigger (6..7), keeping Banker 6 at 6 rather than 3 via 7.

Complete 5-Card Resolution Trace for RES370
RES370 StageRES370 CardsRES370 Modulo MathRES370 Status
[RES370:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES370:5th]Player +A (1)(3+1) mod 10 = 45th Card Sideways
[RES370:6th]Banker Stands (skip 7=7)Locked at 65-Card Final
[RES370:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES370-1] Confirm [RES370] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES370-2] Add [RES370] fifth-card A (1) to P=3 for (3+1) mod 10 = 4.
  • [RES370-3] Run [RES370] BANKER_TABLEAU[6][1]=false to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES370

Showdown Settlement & Scoreboard Logging for RES370 (4 vs 6)

[RES370-C9] Comparing [RES370] final totals (5c), Player 4 vs Banker 6 awards [RES370] to Banker (B), which pays 0.95:1 on 5%-commission [RES370] layouts (or 0.5:1 on 6 at No-Commission [RES370] tables) and appends B to PPBBPBPPBB.

[RES370-D10] Side-bet & road check for [RES370] (P3+1->4 vs B6->6, 5c): [RES370] leaves [RES370] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES370] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES370] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES370, Banker 6 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[6][1] = false.
MythBecause RES370 resolves as B, the next derived-road mark must match B'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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