Hossam and Range Minimum Query

题意翻译

+ 给你一个长度为 $n$ 的非负整数序列 $a$。 + 有 $q$ 次询问,每次询问 $[l,r]$ 中满足出现次数为**奇数**的数当中,**最小**的那个是哪个数,不存在则输出 $0$。 + 强制在线,你输入的 $l',r'$ 需要异或上上一次的答案 $\operatorname{lastans}$ 才是真正的 $l,r$,若此时为第一次询问或上一次询问不存在出现次数为奇数的数,则 $\operatorname{lastans}=0$。 + $1\leq n,q\leq 2\times10^5,0\leq a_i\leq 10^9,1\leq l',r'\leq2\times 10^9$。 Translated by [World_Creater](https://www.luogu.com.cn/user/122836)

题目描述

Hossam gives you a sequence of integers $ a_1, \, a_2, \, \dots, \, a_n $ of length $ n $ . Moreover, he will give you $ q $ queries of type $ (l, \, r) $ . For each query, consider the elements $ a_l, \, a_{l + 1}, \, \dots, \, a_r $ . Hossam wants to know the smallest number in this sequence, such that it occurs in this sequence an odd number of times. You need to compute the answer for each query before process the next query.

输入输出格式

输入格式


The first line of the input contains one integer $ n $ ( $ 1 \le n \le 2 \cdot 10^5 $ ), the length of the sequence. The second line contains $ n $ integers $ a_1, \, a_2, \, \dots, \, a_n $ ( $ 1 \le a_i \le 10^9 $ ). The third line contains one integer $ q $ ( $ 1 \le q \le 2 \cdot 10^5 $ ), the number of queries. Each of the next $ q $ lines contains two integers $ a $ and $ b $ ( $ 0 \le a, \, b \le 2 \cdot 10^9 $ ), the numbers used to encode the queries. Let $ \mathrm{ans}_i $ be the answer on the $ i $ -th query, and $ \mathrm{ans}_0 $ be zero. Then $ $$$l_i = a_i \oplus \mathrm{ans}_{i - 1}, $ $ $ $ r_i = b_i \oplus \mathrm{ans}_{i - 1}, $ $ where $ l\_i, \\, r\_i $ are parameters of the $ i $ -th query and $ \\oplus $ means the <a href="https://en.wikipedia.org/wiki/Bitwise_operation#XOR">bitwise exclusive or</a> operation. It is guaranteed that $ 1 \\le l \\le r \\le n$$$.

输出格式


For each query, print the smallest number that occurs an odd number of times on the given segment of the sequence. If there is no such number, print $ 0 $ .

输入输出样例

输入样例 #1

5
1 2 1 2 2
6
1 2
0 2
0 6
0 5
2 2
3 7

输出样例 #1

1
2
1
0
2
2

输入样例 #2

10
51 43 69 48 23 52 48 76 19 55
10
1 1
57 57
54 62
20 27
56 56
79 69
16 21
18 30
25 25
62 61

输出样例 #2

51
55
19
48
76
19
23
19
55
19

说明

In the example, $ $$$l_1 = 1, \, r_1 = 2, $ $ $ $ l_2 = 1, \, r_2 = 3, $ $ $ $ l_3 = 2, \, r_3 = 4, $ $ $ $ l_4 = 1, \, r_4 = 4, $ $ $ $ l_5 = 2, \, r_5 = 2, $ $ $ $ l_6 = 1, \, r_6 = 5. $ $$$