Timeline
Timeline
2025-09-12
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State Analysis
Problem:
This problem can be viewed by drawing a state machine

Xiaohong goes first. If the total number of vowels in the entire string is odd, then she takes all the substrings directly and wins.
Xiaohong goes first. If the total number of vowels in the entire string is even, unless it is 0, Xiaohong loses if she goes first; if it is non-zero, then after taking one substring with an odd number of vowels, at least 2-1=1 vowel substring remains. At this point, Xiaoming must take an even number, so he can only take 0. Therefore, it must enter the third state of the state machine, where the entire string has an odd number of vowels left, and it is Xiaohong’s turn to take an odd number. She takes all substrings directly and wins.
Therefore, as long as this string has any vowel, Xiaohong wins. Otherwise,
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