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FINAL TOTAL RESOLUTION [RES001] · 6-CARD PROOF

Player 0 + 10 (0) vs. Banker 0 (Draws 10 (0)): 6-Card Resolution #1

In walkthrough RES001, Player opens with 10+K (0) and draws fifth-card 10 (0) for a modulo-10 total of 0, while Banker opens with 10+K (0) and draws sixth-card 10 (0) for 0 (6-card T outcome).

RES001 Player Path
P:0->0
RES001 Banker Path
B:0->0
RES001 Deal Length
6 Cards
RES001 Showdown
T (0v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES001 (P0+0->0 vs B0->0).

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

RES001 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+K=0

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

RES001 Fifth-Card Modulo Proof
(0 + 0) mod 10 = 0 via 10

Player draws fifth-card 10 (value 0), transforming two-card 0 into three-card 0.

RES001 Banker Tableau Lookup
BANKER_TABLEAU[0][0] = true

Banker 0 draws sixth-card 10 (0) so (0+0) mod 10 = 0.

RES001 Card Count & Winner
6 Cards -> T (0 vs 0)

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

RES001 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 · RES001

Step-by-Step Card Arithmetic for RES001: P(10+K)+10 vs B(10+K)

[RES001] Walkthrough #1 begins with Player holding 10+K (0) against Banker 10+K (0); since neither side holds 8 or 9, Player draws fifth-card 10 (0) so 0+0=0 applies base-10 modular addition to 0.

[RES001-B] Under 0-point unconditional draw tier for [RES001], exposed 10 (0) obligates Banker 0 to draw 10 (0), converting 0+0=0 into 0.

Complete 6-Card Resolution Trace for RES001
RES001 StageRES001 CardsRES001 Modulo MathRES001 Status
[RES001:Init]P(10+K)=0 vs B(10+K)=0playerShouldDraw(0)=true4-Card Deal
[RES001:5th]Player +10 (0)(0+0) mod 10 = 05th Card Sideways
[RES001:6th]Banker +10 (0)(0+0) mod 10 = 06-Card Final
[RES001:Settle]P=0 vs B=0Winner: TBig Road +T
  • [RES001-1] Confirm [RES001] opening P=0 (10+K) and B=0 (10+K) lack Natural 8/9.
  • [RES001-2] Add [RES001] fifth-card 10 (0) to P=0 for (0+0) mod 10 = 0.
  • [RES001-3] Run [RES001] BANKER_TABLEAU[0][0]=true to settle 0 vs 0 (T).
SETTLEMENT & SCOREBOARD · RES001

Showdown Settlement & Scoreboard Logging for RES001 (0 vs 0)

[RES001-C1] Comparing [RES001] final totals (6c), Player 0 vs Banker 0 awards [RES001] to Tie (T), which pushes main [RES001] Player/Banker wagers while settling [RES001] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBBPP.

[RES001-D4] Side-bet & road check for [RES001] (P0+0->0 vs B0->0, 6c): [RES001] leaves [RES001] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES001] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES001] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES001, Banker 0 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[0][0] = true.
MythBecause RES001 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android