Independent query guide · virtual-coin demo

How Row Single Run works

Row Single Run is this guide’s original constrained Mines demo. The board is fixed at the start. Revealing safe cells changes what is known about that board and therefore changes the conditional probabilities of the remaining cells.

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A four-by-four board is chosen uniformly from legal placements of the selected 3, 4 or 5 mines. Within each row, mines form at most one contiguous block; an empty row is allowed. The board remains fixed during the round. For example, a row pattern 1100 is permitted; 1010 is not, because it has two separated mine blocks. 0000 is permitted.

Filter after each safe reveal

After safe reveals, gross quote = 0.96 × captured stake × initial legal-board count / remaining compatible-board count. Each safe reveal keeps only boards where that cell is safe. The captured stake is fixed at start and does not grow as cells are revealed. A mine ends the round with zero return.

Conditional safe probability and pricing

The legal support sizes are 408, 986 and 1,704 for 3, 4 and 5 mines. At a current support of C boards, an eligible cell safe in S boards has conditional safe probability S/C. Its safe quote changes by C/S. Including the mine outcome, this preserves exact 96% expected gross return; it does not guarantee a session balance or a profitable collection.

Work a three-mine example

With 3 mines, the initial legal support has 408 boards. If cell 0 is safe, 338 boards remain and the gross multiplier is 0.96 × 408 / 338, approximately 1.1588. If cells 0, 1 and 2 are all safe, 199 boards remain and the multiplier is approximately 1.9682. Cell indices are row-major from 0 at top left to 15 at bottom right. With a 20-coin stake and cell 0 safe, the gross return is about 23.1763 coins. With no prior carry, collecting credits 23 whole coins and keeps the remainder for later settlement.

Eligible transitions and collection

Cells that are certainly mines are disabled. A cell is also disabled if its safe outcome would quote more than 1,000 times the stake. When no eligible reveal remains, the current quote is collected automatically. Manual collection becomes available after the first safe reveal. Choose the stake and mine count while idle. Starting captures and debits one whole stake. Stake, mine count and restore are locked during the round; eligible cell reveals and sound remain available. There is no automatic round queue. Collection is a virtual settlement action, not an external transfer.

Wallet and unfinished reloads

The initial balance is 1,000. Starting debits the fixed stake, and collection credits its gross return with fractional carry retained. Restore sets a low idle whole balance below 10 to 1,000 while preserving carry. Reloading an unfinished round does not resume it or refund the debit.

Frequently asked questions

Do safe odds remain fixed?

No. Safe reveals filter the compatible legal boards, so each remaining cell’s conditional safe probability is recalculated.

When can I collect manually?

After at least one safe reveal, while the round remains active.

Does reload refund an unfinished round?

No. The unfinished round ends without refund or resume. Stored whole balance and fractional carry remain unless site storage is removed.