How the six assignments work
Leximin Assignment draws nine independent values, each equally likely to be 0, 1, 2 or 3, in a 3 × 3 board. An assignment selects one cell from each row and uses each column once. There are six assignments. Sort each selected triple from smallest to largest, then compare the triples: prefer the larger first value, then the larger second value if the first ties, then the larger third value if both tie. The middle value of the winning triple is the raw reward s, from 0 to 3. This compares assignments across rows, rather than sorting each row separately.
Two simple scoring examples
A board containing only zeros gives six triples [0, 0, 0], so the raw reward is 0. A board containing only threes gives six triples [3, 3, 3], so the reward is 3. For a mixed board, first compare the smallest entries of the sorted assignment triples. A triple with a higher middle entry does not automatically win if its smallest entry is lower.
For the board with rows [0, 2, 1], [2, 1, 0] and [1, 0, 0], the winning sorted triple is [1, 1, 1], giving reward 1. An available triple [0, 2, 2] has middle value 2 but loses because its first value is smaller.
Reward powers and gross return
Reward power 1 uses s, power 2 uses s², and power 3 uses s³. Each weight has its own exact mean μ over all 262,144 equally likely boards. The gross multiplier is 0.96 × sᵖ ÷ μ for the selected power p; multiply it by the captured stake for the raw gross payout. Each mode therefore has a 96% expected gross return in the mathematical model. This is an average over the full distribution, with no guarantee for a board or session. Gross return includes any stake recovered; it is not net profit.
The exact mean weights for powers 1, 2 and 3 respectively are 606681/262144, 1520669/262144 and 4021275/262144. Each is the average of its own powered raw rewards, before multiplying by 0.96.
Starting and finishing one board
Choose a stake of 10, 20, 50 or 100 virtual coins and reward power 1, 2 or 3, then press “Draw one board”. A new page load selects stake 20 and power 1. Starting a funded draw captures those choices, draws the whole board and deducts the stake once. Stake, power, restore and start controls are unavailable while the draw is active; sound remains available. There is no automatic queue, Stop button, intermediate collection or early cash-out.
Whole coins and fractional remainder
Settlement uses the full multiplier, even though its display has four decimal places. The raw gross payout is added to the previous fractional remainder. The whole-number part is credited to the wallet, and the remaining fraction is saved for later settlements. A zero reward produces no new gross payout and preserves the existing fraction. A positive reward need not credit a whole coin on that board.
Saved balance and unfinished draws
The wallet balance, including zero, and fractional remainder are saved in browser localStorage. The stake deduction at the start of a draw is saved too. Reloading an unfinished draw loses its pending result: there is no refund, payout or resumption. The saved balance and previous fractional remainder remain, while stake and power return to 20 and 1. Saved wallet values do not provide an account recovery service.
Frequently asked questions
How is the raw reward selected?
Consider the six selections with one cell per row and a different column for each row. Sort each triple ascending, compare the first entries, then second and third entries to break ties, and take the middle entry of the largest triple. The raw reward is 0, 1, 2 or 3.
Why does each power have a different normalizer?
The weights are s, s² and s³. Their averages over the 262,144 possible boards differ, so each power divides by its own mean before applying 0.96.
Does 96% mean I recover 96% on every draw?
No. It is the mathematical expected gross return across all equally likely boards in each separately normalized mode. Individual boards and sessions can return less or more.
What are the starting settings and stake choices?
The stake choices are 10, 20, 50 and 100 virtual coins. A page load selects 20 and reward power 1; powers 2 and 3 are also available.
Can I collect before the board finishes?
No. One whole stake pays for the complete board, with no early cash-out or intermediate collection. Take a break by choosing not to start the next draw.
Which controls remain available during a draw?
Sound remains available. Stake, reward power, restore and start controls stay unavailable until settlement. There are no shot choices or mine picks in this game.
What is the fractional remainder?
It is the part left after the raw gross payout plus the previous remainder is credited in whole coins. That fraction is saved for later settlements and survives manual wallet restoration and reload.
When can I restore the balance?
Only while no draw is active and the balance is below 10. “Restore balance” sets it to 1,000 and preserves the fractional remainder, current stake and power. It does not add 1,000 or start play.
What happens if I reload an active draw?
Its captured stake remains deducted. The unfinished result receives no refund, payout or resumption. The saved wallet balance and previous fractional remainder remain; stake and power reset to 20 and 1.
Is an Android APK needed?
No. This demonstration runs in the browser. This guide provides no verified outside APK or app publisher.
Can I withdraw the coins?
No. These are virtual coins with no cash value. The demo has no deposit, withdrawal or currency-conversion service.
Will clearing the cache remove my wallet?
Not necessarily. Cached downloaded files and localStorage are different kinds of browser data. Use the browser’s site-data controls to manage stored wallet values.
