Guide

Terms: Demo Use and Virtual Coins

This guide provides an independent demonstration of the game Pair Gcd Square Mines. The virtual coins used in this demo have no cash value and cannot be withdrawn. This page explains the specific mechanics of this demo environment, including how your balance is managed, how unfinished rounds behave, and the intended audience.

Virtual Coins and Cash Value

The virtual coins displayed in this demo are for simulation purposes only. They do not represent real money, nor do they hold any intrinsic cash value. You cannot deposit real currency, withdraw winnings, or exchange these coins for tangible assets. The demo is a self-contained environment owned by this independent guide.

Wallet Balance and Restoration

Your starting balance is set to 1000 virtual coins. The wallet supports fractional carry, which persists in your browser's local storage across settlements, refills, and page reloads. This means any uncollected fractional value from previous rounds is retained.

  • Manual Restoration: If your balance drops below 10 coins while you are idle, you can manually restore your balance. This action sets your balance to exactly 1000 coins. It does not add coins on top of your existing balance; it resets it.
  • No Automatic Replenishment: There is no automatic refill or top-up mechanism. You must manually trigger the restoration when the threshold is met.

Unfinished Round Reload Policy

If you reload the page or leave the demo while a round is active (i.e., you have selected hazards and revealed some tiles but not collected), the round is not resumed. Specifically:

  • The captured stake remains deducted from your balance.
  • The round ends without refund.
  • You do not receive any payout for the partially completed round.
  • The state is not saved for later continuation; you must start a new round.

Upon reloading, your controls reset to the default stake of 20 coins, and the first preset mode is restored.

Game Mechanics: Pair Gcd Square Mines

The demo features the game Pair Gcd Square Mines. The game uses a 4×4 board with labels 1–16. Key mechanics include:

  • Hazard Selection: Before a round, you select 3, 4, or 5 hazards. These are uniformly sampled from complete subsets where the sum of gcd(label_i, label_j) over all unordered hazard pairs is a perfect square.
  • Pricing: The initial quoted value is 97% of the captured stake. Each successful safe reveal divides the current gross value by its exact posterior safe probability.
  • Stopping Rules: You may collect after at least one safe reveal. Choices are disabled if the gross return exceeds 1000× the stake; equality is allowed. The bank automatically collects only when no eligible uncertain choice remains.

Data Storage and Privacy

This demo stores data locally in your browser. Specifically:

  • Your virtual-coin balance is stored in browser localStorage.
  • Fractional payout carry is stored in browser localStorage.

The absence of account controls does not prove that no personal data are processed elsewhere. Clearing cached files may leave local storage data unless explicitly cleared. The page template loads Google Fonts stylesheets and font files, which may involve third-party requests.

The deployed guide also loads the Statinside44 counter script and sends visit-counter requests. Network requests can include connection and page information; the absence of login does not establish that no personal data are processed.

Audience and Responsible Use

This guide and its virtual-coin demo have an 18+ intended audience. This is a designation for this guide's content, not necessarily a universal legal age or an implemented age gate. Responsible use includes setting personal time or virtual-coin limits. The demo does not clinically train behavior or make losses safe. For appropriate local qualified help, find resources in your region.

Frequently asked questions

Can I withdraw my virtual coins as real money?

No. The virtual coins in this demo have no cash value and cannot be withdrawn. They are used solely for demonstrating the game mechanics within this independent guide.

What happens if I reload the page during a round?

The round ends without refund or payout. The captured stake remains deducted, and the unfinished round is not resumed. You will start a new round with the default stake of 20 coins upon reloading.

How do I restore my balance?

You can manually restore your balance when it falls below 10 coins while idle. This action sets your balance to exactly 1000 coins, replacing your current balance rather than adding to it.