Independent query guide · virtual-coin demo

Z93 Column Run Total Three: Rules, Math, and Demo Guide

The official website of z93.

The official website of z93. This guide covers the Z93 Column Run Total Three demo. The game uses a four-by-four board with a specific constraint: exactly three non-empty occupied runs exist across all columns. The demo uses virtual coins with no real-money account flow.

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Game Rules and Board Support

The board is a four-by-four grid. A mine count is selected from exact non-empty support configurations. Boards are drawn uniformly from this constrained support, not from all possible boards. A board is legal only if it has exactly three non-empty occupied runs in total across columns.

After any safe reveal, the board support is filtered. Cells with zero conditional safe probability are disabled. Cells whose safe quote would exceed 1000 times the stake are also disabled.

Scoring and Payout Formula

The gross quote is calculated as: 0.96 × captured stake × initial support / current compatible support. Captured stake and mine count are locked for the round. If a mine is revealed, the gross return is zero. Fractional carry persists across settlement, refill, and reload.

Controls, Modes, and Stopping

  • Controls: Stake, mine count, and refill are locked while active. Manual bank is available only after at least one safe reveal. No auto queue.
  • Stopping: A mine ends the round. Manual bank or automatic banking (when no eligible reveal remains) ends the round.
  • Cap: A 1000× stake cap disables transitions. No eligible reveal automatically banks the quote; manual action is required.

Mathematical Evidence and RTP

The exact gross RTP is 0.96 across all modes. Simulation measurements are supporting observations, not the exact law. Below are exact values for specific safe paths:

MinesSafe PathRemaining SupportGross Multiplier
3[0]3191.2037617554858935
3[0,1,2]1922
4[0,3,6,9,12,15,2,5,8,11,13,1]1748.8
5[0,3,6,9,12,15,2,5,8,13,4]1921.6

Wallet and Persistence

The demo starts with a balance of 1000. A manual idle-only refill sets the balance to exactly 1000 if it is below 10; it does not add coins or replenish automatically. Settled balance persists locally, including zero. Unfinished rounds end without refund or resume on reload.

Privacy and Storage Facts

Browser localStorage is used for settled demo balance and fractional carry. This does not establish anonymity. The template declares a Google Fonts stylesheet, but actual request capture is pending. There is no demo account or payment flow.

Frequently asked questions

How is the board drawn?

Boards are drawn uniformly from the exact legal board support defined by the selected mine count and the rule that there are exactly three non-empty occupied runs across all columns.

What is the exact payout formula?

Gross quote = 0.96 × captured stake × initial support / current compatible support. Mine returns zero.

Can I auto-bank?

No. Manual bank is available only after a safe reveal. Automatic banking occurs only when no eligible reveal remains.

What happens if I hit a mine?

The round ends immediately with a gross return of zero.

How does the 1000x cap work?

Cells whose safe quote would exceed 1000 times the stake are disabled. The cap guard disables transitions before a reveal.

What is the exact RTP?

The exact gross RTP is 0.96 across all modes. Measured RTP varies slightly in simulations (e.g., 96.04357617554858 for mines=3, policy=0).

How does the wallet refill work?

Manual idle-only refill sets the integer wallet to exactly 1000 if the balance is below 10. It preserves fractional carry.

Does the balance persist if I reload?

Settled balance persists locally, including zero. Unfinished rounds end without refund or resume on reload.

Is there a demo account?

No. There is no demo account flow or payment flow. The demo uses virtual coins with no cash value.

What data is stored?

Browser localStorage is used for settled demo balance and fractional carry. A Google Fonts stylesheet is declared, but actual request capture is pending.

Is this a real casino?

No. This is an independent guide's demo. It does not certify or reproduce any outside product. There is no operator, licence, or KYC.

Who is the audience?

The intended audience is 18+, which is this guide's policy, not a universal legal age or an implemented age gate.