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noitu/server
tiennm99 ca01145d06 feat(game): add noi tu rules engine and bot opponent
The engine is transport-free: no sockets, no protobuf, and no clock of its
own. Callers pass the current time in and read the deadline back, so every
rule is testable without a timer. One goroutine owns a game.

Validation resolves the word before checking the chain link. Roughly a
third of dictionary aliases move the first syllable, so "sy hai" resolves
to "si hai"; checking the link against what the player typed would reject
legal moves. The used-word set is keyed on the canonical form, which also
stops the same word being played twice under two spellings.

An opening whose last syllable starts nothing is refused. It would hand
the first player a game already lost, with no move and no reason, that
resolves only when the turn timer expires and then reports a timeout.

Three bot difficulties, separated by how far they look ahead rather than
by how willing they are to win: random, one-ply greedy, and depth-limited
negamax with alpha-beta. Strategies see a read-only view of the board, so
a bot cannot bypass the same validation a human's move goes through.

Simulation on the real corpus, alternating sides across 60 games per
pairing: hard beats easy 98%, medium beats easy 87%, hard beats medium
65%. Decisions take at most 19ms against a 150ms budget.

Three defects surfaced only under simulation. Withholding the winning
move from the middle bot, as first designed, made it lose to the random
bot 97% of the time. The search evaluated leaves with an inverted sign,
so it hunted for positions where it was about to be trapped. And the
rate limit on taking an instant win did nothing, because declining the
shortcut let the search rediscover the same move.

Games against the hard bot end after about three moves versus fifteen
for two random bots: with 1,814 dead-end syllables an instant win is
usually available. Tunable, and flagged for playtesting.
2026-09-04 17:29:47 +07:00
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