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Mirror Subsequences Demo Guide

The official website of 3star.

The official website of 3star. This guide explains the Mirror Subsequences demo, an independent virtual-coin experience owned by this guide. The demo uses a specific mathematical model for scoring palindromic subsequences in two-digit ticket pairs. It does not certify any external casino or operator.

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How the Game Works

The game draws two independent uniform two-digit tickets from 00–99, retaining leading zeros. These tickets are concatenated in order to form a four-digit sequence. The score is based on the length of the longest palindromic subsequence (L), which allows deleting digits while keeping their relative order. The raw score is calculated as max(0, L−2). Note that contiguous substring length is not used.

One whole captured stake covers both tickets. The game offers three scoring modes, each separately normalized over all 10,000 equally likely ordered ticket pairs to achieve a 96% expected gross return. The gross payout is calculated as:

Gross = 0.96 × captured whole stake × raw^p / meanForPower(p), where p is 1, 2 or 3 and the corresponding means are 0.281, 0.301 and 0.341

The exact means for the modes are:

  • Power 1: 0.281
  • Power 2: 0.301
  • Power 3: 0.341

Powers one, two, and three do not alter which raw scores are zero. The expected gross return is 96%, which is not a guaranteed net profit.

Controls and Auto-Play

The demo includes specific controls for managing draws:

  • Stake & Mode: One whole captured stake is used. You can choose between score, score squared, or score cubed modes. These are locked during active settlement.
  • Auto10: This queues at most ten captured draws. It allows for automated play up to ten rounds.
  • Stop: Cancels future draws while the current draw settles. There is no early bank-out feature.
  • Settlement Time: Each draw normally settles after 480ms of animation; reduced-motion mode can settle earlier.
  • Sound: Remains available even when controls are locked.

Settings (stake, mode) and refill are locked until the settlement and any auto queue finish.

Wallet and Balance Rules

The demo wallet operates independently of any external account system:

  • Initial Balance: The demo starts with a balance of 1,000 virtual coins.
  • Restoration: When idle and the balance drops below 10, you can manually restore it. This action sets the balance to exactly 1,000. It is not an automatic replenishment or a deposit of additional coins.
  • Fractional Carry: Fractional values persist across settlement, refill, and reload events.
  • Reload Behavior: If you reload the page during an unfinished draw, the round ends without a refund or resume capability.
  • Persistence: Settled balances are stored locally. However, reloading ends unfinished rounds.

Mathematical Evidence

The following table presents the exact expected gross RTP and measured RTP from simulation data. These are sample observations, not promised session returns.

Mode (Power)Exact Gross RTPMeasured RTP (1M Rounds)
10.9696.01708185037631%
20.9696.16489036546116%
30.9696.17173020500567%

Simulation measurements are distinct from the mathematical payout law. The exact expected value is 96% for all modes.

Worked Examples

Based on the actual game.js pure score function, here are specific outcomes for ordered symbols:

  • 0, 0, 0, 0: Raw Score = 2
  • 9, 9, 9, 9: Raw Score = 2
  • 0, 1, 2, 3: Raw Score = 0

These examples illustrate how the longest palindromic subsequence is calculated. Note that a raw score of 0 results in a gross payout of 0 regardless of the mode selected.

Privacy and Storage

This demo uses browser localStorage to store the settled demo balance and fractional carry. This does not establish anonymity or exclude other processing. The template declares a Google Fonts stylesheet, but actual browser request capture is pending. These observations do not provide a complete account of data processing by the site or its infrastructure. There is no account login flow or payment flow in this demo.

Frequently asked questions

Is this an official casino game?

No. This is an independent demo owned by this guide. It does not certify or reproduce any outside product. The domain or search position does not imply an official operator.

How is the score calculated?

Two tickets (00–99) are drawn. Their digits are concatenated. The score is max(0, L−2), where L is the longest palindromic subsequence length. Contiguous substrings are not used.

What are the three modes?

The modes are based on the raw score power: 1 (raw), 2 (squared), and 3 (cubed). Each is normalized to a 96% expected gross return using specific means: 0.281, 0.301, and 0.341 respectively.

What happens if I reload the page?

If the draw is unfinished, it ends without a refund or resume. Settled balances persist locally.

How do I restore my balance?

When idle and the balance is below 10, you can manually restore it. This sets the balance to exactly 1,000. It preserves fractional carry but does not add coins incrementally.

Does Auto10 guarantee 10 rounds?

Auto10 queues at most ten captured draws. You can stop it at any time, which cancels future draws while the current one settles.

Is the 96% RTP guaranteed?

No. The 96% is the expected gross return over the long term. It is not a guaranteed net profit for any session. The recorded one-million-round samples returned approximately 96.0171%, 96.1649% and 96.1717% for powers one, two and three.

Can I withdraw my virtual coins?

No. The virtual coins have no cash value. This is a demo for informational purposes.

What data is stored?

The settled balance and fractional carry are stored in browser localStorage. This does not prove anonymity or exclude other data processing.

Is there an account system?

No. There is no login flow, KYC, or account recovery in this demo. It is a standalone browser experience.

What is the stake structure?

One whole captured stake covers both tickets. There are no independent row shares.

Is this suitable for all ages?

This guide targets an 18+ audience policy. It is not a legal age gate or a statement of local legality.