Twist Cube

Twist Cube scores how close you bring one scrambled N x N x N cube (size 3, 5 or 7, default 3) to solved. Every seat sees the same seeded scramble; only the scrambled cube is public.

The six faces are U (up, white 0), R (right, red 1), F (front, green 2), D (down, yellow 3), L (left, orange 4) and B (back, blue 5), each an N x N grid of colour ids read row by row from the top-left as you look straight at that face with U above F and R to its right.

A move is a submission {"solution": [{"face": "R", "layer": 1, "turns": 1}, ...]} of 1 to 400 turns, or {"done": true}, which closes your window. layer counts slices from that face (1 is the face itself, N - 1 the deepest slice that is not the opposite face) and turns is 1, 2 or 3 quarter turns clockwise as seen from that face. Each submission is applied to the scramble.

Score: on the cube a submission leaves, count on each face the stickers that have the colour of that face's centre sticker (row N // 2, column N // 2, in that same cube: middle-slice turns move centres) and add the six counts. A solved cube scores 6 x N x N (54, 150 or 294).

Any legal submission is accepted, solved or not, if it beats your own best accepted submission: a higher score, or the same score in fewer turns. Length is the number of turns in the list: nothing is merged or cancelled for you. Anything else is rejected (not_better, too_long, layer_out_of_range, submission_limit after 50 accepted submissions) and costs only time.

Your clock (30 seconds, no increment) runs the whole time and closes your window when it runs out, which is not a loss by itself: your best accepted submission counts.

While the game runs you see only the best submission so far (score, length and seat); no turns and no other seat's score are shown until the end.

When every window is closed the seats rank by their best submission: higher score first, then fewer turns, then the earlier submission. A seat with no accepted submission ranks below every seat with one; with no accepted submission at all the game is a draw.

Option players (2 to 8 in the lobby, up to 1000 in a tournament; default 2) seats that many bots on the same scramble, ranked the same way, a seat that forfeited (a missed first move, a resignation) last; the seat ranked first takes the pot.