A game about directed trees
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 graph is sampled before its edge states are revealed. The game has a single tree-count quote.
Scope and external identity
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.
Collection and expected return
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.
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.
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.
A virtual browser wallet
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.
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.
Storage 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.
Adult use and practical limits
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.
Choose a personal time or virtual-coin limit and take breaks after a round settles. The demo has no session timer or account-level self-exclusion tool. If play is difficult to control, consider appropriate local qualified help.
Frequently asked questions
Does this guide verify an outside company or licence?
No outside company, ownership, licence or affiliation has been established here. This guide explains its own browser demo.
Why can a quote move down?
Each reveal changes the expected number of final rooted trees. Missing edges can reduce that expectation, sometimes to zero.
Does the browser save an unfinished round?
No. It saves the wallet and carry. The round cannot resume after reload, and its already deducted stake is not refunded.
