Rules of the directed-tree game
Directed Root Trees has four vertices, numbered 0, 1, 2 and 3. Twelve independent fair switches decide whether each directed edge is present: 1 means present and 0 means absent. For example, 0→1 and 1→0 are separate edges. The terminal score counts spanning trees directed outward from root 0. Each of vertices 1, 2 and 3 has exactly one incoming tree edge, and all three can be reached from 0 along the tree.
The gross multiplier is 0.97 × the expected final tree count given the revealed switches, divided by the initial expected count of 2. The opening quote is 0.9700×; manual collection becomes available after the first reveal. The quote can rise or fall. Zero ends the round immediately. If the round reaches reveal 12 with a positive quote, that quote settles automatically.
One stake and a collection choice
The stake options are 10, 20, 50 and 100 virtual coins. A fresh page starts with stake 20 and By hand selected. Starting a round deducts that stake once and fixes it for the round. Stake and Auto settings, and balance restoration, are locked while the round is active. Sound remains available. Settings stay selected between completed rounds, but reload returns them to the defaults.
Choose By hand or Auto 1.2, 2, 3 or 5 before starting. Auto collects the full current quote on the first reveal that reaches its threshold. It does not cap the return at the threshold. At each reveal, zero is checked first; an earlier completed collection is unaffected by later hidden switches. If the threshold is never reached, the round ends at zero or settles the surviving quote at reveal 12.
Gross returns and whole coins
A new wallet starts with 1,000 virtual coins. Settlement multiplies the captured stake by the full quote, adds the saved fractional remainder, and credits only the whole-number part. The new remainder is saved for a later settlement; it is never credited separately. For example, stake 20 at 1.455× with carry 0.4 produces 29.5: 29 coins are credited and 0.5 is retained.
For collection decisions based only on revealed information, with the round allowed to settle under these rules, expected gross return before whole-coin rounding is exactly 97% of the stake. This is an average across possible rounds, not a promised result for a session. The 0.97 factor is applied once in the quote; there is no second 3% collection deduction. Whole-coin credits include carry between rounds, so an individual wallet credit need not equal 97% of its stake.
Restoration and unfinished rounds
When no round is active and the balance is below 10, Restore balance sets it to exactly 1,000 free coins. It does not add 1,000, run automatically or reset the fractional remainder. A balance of exactly 10 is not eligible.
The wallet is saved when the stake is deducted and when returns are credited. Reloading during an unfinished round loses that round and its already deducted stake: there is no refund or resume. The saved wallet and fractional remainder remain if browser storage is retained. Reload resets stake to 20 and Auto to By hand.
Browser data and page requests
The browser stores the wallet and fractional remainder in localStorage. The page also requests Google Fonts resources and loads the Statinside measurement script for counter ID 44, with a measurement image when JavaScript is disabled. These are observed parts of the page, not a complete account of all possible processing. Local storage and the absence of a login do not establish anonymity or a promise that no personal data are processed.
Scope and adult use
This is an independent guide and its own free browser demo. No external mybos operator, licence, official login address, payment service or app has been established here. A matching name or search result does not establish a connection to this demo or verify an outside service.
This guide is intended for adults aged 18 and over. That audience label does not enforce an age check or establish local legality. Virtual coins have no cash value, cannot be withdrawn and are not prizes.
The demo supplies no pause timer, account blocking or self-exclusion system. You can set personal limits and stop after a settled round. These terms do not establish an outside company policy or create a legal release on its behalf.
Frequently asked questions
Can virtual coins be withdrawn?
No. They have no cash value, are not prizes and cannot be deposited or withdrawn through this demo.
Is an unfinished stake refunded on reload?
No. It is deducted and saved when the round begins. Reload loses the active round without refund or resume.
Does restoration add 1,000 coins?
No. When idle with a balance below 10, it sets the wallet to exactly 1,000 and preserves fractional carry. It is manual, rather than automatic.
