The opening gate asks for a departure of at least 0.57s, which is how a sparse
board pays: one piece threading a long route while you watch. A packed board
cannot pay that way — the pieces free at the opening are the ones at the rim,
and their routes are short by construction. So the gate rejected 29 of 29
crowded candidates for lacking a payoff they deliver in a different currency:
the cascade of pieces leaving one after another, which is what the brief singles
out as 多个棋子连环出去，非常赏心悦目.
openingRunMs totals every departure available before a turn is needed, and the
gate takes either that or the single long show. Crowded boards come through at
46% density, 0.92 crossings per cell and 14% straight track.
Both thresholds scale with the motion dial the way the first one already did.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
