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A12292. Game with string

编程题 普及/提高-

题目描述

Two people are playing a game with a string $s$ , consisting of lowercase latin letters.

On a player's turn, he should choose two consecutive equal letters in the string and delete them.

For example, if the string is equal to "xaax" than there is only one possible turn: delete "aa", so the string will become "xx". A player not able to make a turn loses.

Your task is to determine which player will win if both play optimally.

输入格式

The only line contains the string $s$ , consisting of lowercase latin letters ( $1 \leq |s| \leq 100\,000$ ), where $|s|$ means the length of a string $s$ .

输出格式

If the first player wins, print "Yes". If the second player wins, print "No".

输入输出样例

输入 #1
abacaba
输出 #1
No
输入 #2
iiq
输出 #2
Yes
输入 #3
abba
输出 #3
No

说明/提示

In the first example the first player is unable to make a turn, so he loses.

In the second example first player turns the string into "q", then second player is unable to move, so he loses.
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