CF1807D.Odd Queries

普及/提高-

通过率：0%

AC君温馨提醒

该题目为【codeforces】题库的题目，您提交的代码将被提交至codeforces进行远程评测，并由ACGO抓取测评结果后进行展示。由于远程测评的测评机由其他平台提供，我们无法保证该服务的稳定性，若提交后无反应，请等待一段时间后再进行重试。

题目描述

You have an array $a_1, a_2, \dots, a_n$ . Answer $q$ queries of the following form:

If we change all elements in the range $a_l, a_{l+1}, \dots, a_r$ of the array to $k$ , will the sum of the entire array be odd?

Note that queries are independent and do not affect future queries.

输入格式

Each test contains multiple test cases. The first line contains the number of test cases $t$ ( $1 \le t \le 10^4$ ). The description of the test cases follows.

The first line of each test case consists of $2$ integers $n$ and $q$ ( $1 \le n \le 2 \cdot 10^5$ ; $1 \le q \le 2 \cdot 10^5$ ) — the length of the array and the number of queries.

The second line of each test case consists of $n$ integers $a_i$ ( $1 \le a_i \le 10^9$ ) — the array $a$ .

The next $q$ lines of each test case consists of $3$ integers $l,r,k$ ( $1 \le l \le r \le n$ ; $1 \le k \le 10^9$ ) — the queries.

It is guaranteed that the sum of $n$ over all test cases doesn't exceed $2 \cdot 10^5$ , and the sum of $q$ doesn't exceed $2 \cdot 10^5$ .

输出格式

For each query, output "YES" if the sum of the entire array becomes odd, and "NO" otherwise.

You can output the answer in any case (upper or lower). For example, the strings "yEs", "yes", "Yes", and "YES" will be recognized as positive responses.

输入输出样例

输入#1

2
5 5
2 2 1 3 2
2 3 3
2 3 4
1 5 5
1 4 9
2 4 3
10 5
1 1 1 1 1 1 1 1 1 1
3 8 13
2 5 10
3 8 10
1 10 2
1 9 100

输出#1

YES
YES
YES
NO
YES
NO
NO
NO
NO
YES

说明/提示

For the first test case:

If the elements in the range $(2, 3)$ would get set to $3$ the array would become $\{2, 3, 3, 3, 2\}$ , the sum would be $2+3+3+3+2 = 13$ which is odd, so the answer is "YES".
If the elements in the range $(2, 3)$ would get set to $4$ the array would become $\{2, 4, 4, 3, 2\}$ , the sum would be $2+4+4+3+2 = 15$ which is odd, so the answer is "YES".
If the elements in the range $(1, 5)$ would get set to $5$ the array would become $\{5, 5, 5, 5, 5\}$ , the sum would be $5+5+5+5+5 = 25$ which is odd, so the answer is "YES".
If the elements in the range $(1, 4)$ would get set to $9$ the array would become $\{9, 9, 9, 9, 2\}$ , the sum would be $9+9+9+9+2 = 38$ which is even, so the answer is "NO".
If the elements in the range $(2, 4)$ would get set to $3$ the array would become $\{2, 3, 3, 3, 2\}$ , the sum would be $2+3+3+3+2 = 13$ which is odd, so the answer is "YES".

首页