Guide

Totient Sieve Plinko: Answers to Your Questions

This guide answers practical questions about the Totient Sieve Plinko browser demo. It explains how the unique scoring works, how your virtual coins are settled, and how the wallet behaves during breaks or reloads.

How does the scoring work?

The official website of keren88. The game uses a twelve-step path where each step goes left or right. The position at each step is recorded from start to finish. The score is calculated by summing φ(|x_i|+1)−1, across all twelve rows. The exact minimum score across all possible paths is subtracted to ensure a non-negative result. This final number is your reward score.

What are the reward weight modes?

Before starting a round, you can choose between three reward weight modes: linear, squared, or cubed. This choice determines how the score is multiplied. The gross multiplier is calculated by taking 0.96 times the chosen weight and dividing it by the exact mean of all 4096 possible paths. There is no intermediate collection; you wait for the round to end.

How is settlement handled?

Each round captures one stake. At settlement, the floor of the raw gross return plus any stored fractional carry is credited to your balance. Any remainder persists as fractional carry. If a round yields zero return, the fractional carry remains unchanged. Settlement is automatic at the end of the round.

How does the wallet work?

The initial balance is 1000 play coins. The fractional carry persists in your browser's local storage across settlements, refills, and reloads. Your settled balance also persists locally, including if it is zero. You cannot resume an unfinished round if you reload; the captured stake remains deducted, and the round ends without refund or payout.

What happens if I restore my balance?

While idle with a balance below 10, restoration sets the balance to exactly 1000. It preserves fractional carry and the current stake and reward-curve choices. Restoration does not resume a round or automatically happen when coins run out. Reloading, which is a different action, resets the controls to stake 20 and Linear.

What is the expected return?

The expected return to player is 96% across all modes. This is a mathematical expectation, not a guarantee for a single session. Simulation data shows measured returns close to this expectation, with standard error depending on the number of rounds played. The exact weight sums vary by mode, influencing the variance but not the long-term expectation.

Frequently asked questions

Is this a real money game?

No. The virtual coins used in this demo have no cash value. There is no cashier, no deposit, and no withdrawal. The 18+ label indicates the intended audience for this guide, not a legal age gate for a real-money service.

Does reloading the page lose my progress?

Reloading preserves your settled balance and fractional carry in local storage. However, any active round is not resumed. The captured stake remains deducted, and the round ends without refund or payout. You must start a new round after reloading.

Can I collect winnings during a round?

No. There is no intermediate collection. You must wait for the twelve steps to complete and the round to settle. Controls for stakes, mode selection, and refills are locked while the round is active.