A11284 | Distance Learning Courses in MAC
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题目描述
The New Year has arrived in the Master's Assistance Center, which means it's time to introduce a new feature!
Now students are given distance learning courses, with a total of $n$ courses available. For the $i$ -th distance learning course, a student can receive a grade ranging from $x_i$ to $y_i$ .
However, not all courses may be available to each student. Specifically, the $j$ -th student is only given courses with numbers from $l_j$ to $r_j$ , meaning the distance learning courses with numbers $l_j, l_j + 1, \ldots, r_j$ .
The creators of the distance learning courses have decided to determine the final grade in a special way. Let the $j$ -th student receive grades $c_{l_j}, c_{l_j + 1}, \ldots, c_{r_j}$ for their distance learning courses. Then their final grade will be equal to $c_{l_j}$ $|$ $c_{l_j + 1}$ $|$ $\ldots$ $|$ $c_{r_j}$ , where $|$ denotes the [bitwise OR](https://en.wikipedia.org/wiki/Bitwise_operation#OR) operation.
Since the chatbot for solving distance learning courses is broken, the students have asked for your help. For each of the $q$ students, tell them the maximum final grade they can achieve.
Now students are given distance learning courses, with a total of $n$ courses available. For the $i$ -th distance learning course, a student can receive a grade ranging from $x_i$ to $y_i$ .
However, not all courses may be available to each student. Specifically, the $j$ -th student is only given courses with numbers from $l_j$ to $r_j$ , meaning the distance learning courses with numbers $l_j, l_j + 1, \ldots, r_j$ .
The creators of the distance learning courses have decided to determine the final grade in a special way. Let the $j$ -th student receive grades $c_{l_j}, c_{l_j + 1}, \ldots, c_{r_j}$ for their distance learning courses. Then their final grade will be equal to $c_{l_j}$ $|$ $c_{l_j + 1}$ $|$ $\ldots$ $|$ $c_{r_j}$ , where $|$ denotes the [bitwise OR](https://en.wikipedia.org/wiki/Bitwise_operation#OR) operation.
Since the chatbot for solving distance learning courses is broken, the students have asked for your help. For each of the $q$ students, tell them the maximum final grade they can achieve.
输入格式
Each test consists of multiple test cases. The first line contains a single integer $t$ ( $1 \leq t \leq 2 \cdot 10^4$ ) — the number of test cases. The description of the test cases follows.
The first line of each test case contains a single integer $n$ ( $1 \le n \le 2 \cdot 10^5$ ) — the number of distance learning courses.
Each of the following $n$ lines contains two integers $x_i$ and $y_i$ ( $0 \le x_i \le y_i < 2^{30}$ ) — the minimum and maximum grade that can be received for the $i$ -th course.
The next line contains a single integer $q$ ( $1 \le q \le 2\cdot10^5$ ) — the number of students.
Each of the following $q$ lines contains two integers $l_j$ and $r_j$ ( $1 \le l_j \le r_j \le n$ ) — the minimum and maximum course numbers accessible to the $j$ -th student.
It is guaranteed that the sum of $n$ over all test cases and the sum of $q$ over all test cases do not exceed $2\cdot10^5$ .
The first line of each test case contains a single integer $n$ ( $1 \le n \le 2 \cdot 10^5$ ) — the number of distance learning courses.
Each of the following $n$ lines contains two integers $x_i$ and $y_i$ ( $0 \le x_i \le y_i < 2^{30}$ ) — the minimum and maximum grade that can be received for the $i$ -th course.
The next line contains a single integer $q$ ( $1 \le q \le 2\cdot10^5$ ) — the number of students.
Each of the following $q$ lines contains two integers $l_j$ and $r_j$ ( $1 \le l_j \le r_j \le n$ ) — the minimum and maximum course numbers accessible to the $j$ -th student.
It is guaranteed that the sum of $n$ over all test cases and the sum of $q$ over all test cases do not exceed $2\cdot10^5$ .
输出格式
For each test case, output $q$ integers, where the $j$ -th integer is the maximum final grade that the $j$ -th student can achieve.
输入输出样例
输入 #1
3 2 0 1 3 4 3 1 1 1 2 2 2 4 1 7 1 7 3 10 2 2 5 1 3 3 4 2 3 1 4 1 2 6 1 2 2 2 0 1 1 1 3 3 0 0 4 3 4 5 5 2 5 1 2
输出 #1
1 5 4 15 11 15 15 7 1 3 3 3
In the first test case:
1. The maximum grade for the first student is $1$ :
- On the first distance learning course, he will receive a grade of $1$ .
Therefore, the final grade is $1$ .
2. The maximum grade for the second student is $5$ :
- On the first distance learning course, he will receive a grade of $1$ .
- On the second distance learning course, he will receive a grade of $4$ .
Therefore, the final grade is $1$ $|$ $4$ $=$ $5$ .
3. The maximum grade for the third student is $4$ :
- On the second distance learning course, he will receive a grade of $4$ .
Therefore, the final grade is $4$ .
In the second test case:
1. The maximum grade for the first student is $15$ :
- On the first distance learning course, he will receive a grade of $7$ .
- On the second distance learning course, he will receive a grade of $4$ .
- On the third distance learning course, he will receive a grade of $8$ .
Therefore, the final grade is $7$ $|$ $4$ $|$ $8$ $=$ $15$ .
2. The maximum grade for the second student is $11$ :
- On the third distance learning course, he will receive a grade of $9$ .
- On the fourth distance learning course, he will receive a grade of $2$ .
Therefore, the final grade is $9$ $|$ $2$ $=$ $11$ .
1. The maximum grade for the first student is $1$ :
- On the first distance learning course, he will receive a grade of $1$ .
Therefore, the final grade is $1$ .
2. The maximum grade for the second student is $5$ :
- On the first distance learning course, he will receive a grade of $1$ .
- On the second distance learning course, he will receive a grade of $4$ .
Therefore, the final grade is $1$ $|$ $4$ $=$ $5$ .
3. The maximum grade for the third student is $4$ :
- On the second distance learning course, he will receive a grade of $4$ .
Therefore, the final grade is $4$ .
In the second test case:
1. The maximum grade for the first student is $15$ :
- On the first distance learning course, he will receive a grade of $7$ .
- On the second distance learning course, he will receive a grade of $4$ .
- On the third distance learning course, he will receive a grade of $8$ .
Therefore, the final grade is $7$ $|$ $4$ $|$ $8$ $=$ $15$ .
2. The maximum grade for the second student is $11$ :
- On the third distance learning course, he will receive a grade of $9$ .
- On the fourth distance learning course, he will receive a grade of $2$ .
Therefore, the final grade is $9$ $|$ $2$ $=$ $11$ .
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评测结果：Accepted