Question
Two players alternate turns in a game of Nim: there are several piles of stones, and on each turn a player removes one or more stones from a single pile. The player who cannot move (all piles empty) loses. Given the pile sizes, return True if the player who moves first has a winning strategy under optimal play, else False. Use the Sprague-Grundy / Nim-sum theorem: the first player wins iff the XOR of all pile sizes is non-zero.
nim_first_player_wins(piles: list[int]) → bool[[3,4,5]]outtrueState your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.
Vibe coding: describe the solution in plain language (or narrate it) and the coach grades your approach. Generating runnable code from your description is coming next.