A9178. Valera and Queries
编程题
普及/提高-
知识点
题目描述
Valera loves segments. He has recently come up with one interesting problem.
The $Ox$ axis of coordinates has $n$ segments, the $i$ -th segment starts in position $l_{i}$ and ends in position $r_{i}$ (we will mark it as $[l_{i},r_{i}]$ ). Your task is to process $m$ queries, each consists of number $cnt_{i}$ and a set of $cnt_{i}$ coordinates of points located on the $Ox$ axis. The answer to the query is the number of segments, such that each of them contains at least one point from the query. Segment $[l,r]$ contains point $q$ , if $l<=q<=r$ .
Valera found the solution of this problem too difficult. So he asked you to help him. Help Valera.
The $Ox$ axis of coordinates has $n$ segments, the $i$ -th segment starts in position $l_{i}$ and ends in position $r_{i}$ (we will mark it as $[l_{i},r_{i}]$ ). Your task is to process $m$ queries, each consists of number $cnt_{i}$ and a set of $cnt_{i}$ coordinates of points located on the $Ox$ axis. The answer to the query is the number of segments, such that each of them contains at least one point from the query. Segment $[l,r]$ contains point $q$ , if $l<=q<=r$ .
Valera found the solution of this problem too difficult. So he asked you to help him. Help Valera.
输入格式
The first line contains two integers $n$ , $m$ ( $1<=n,m<=3·10^{5}$ ) — the number of segments on the axis of coordinates and the number of queries.
Next $n$ lines contain the descriptions of the segments. The $i$ -th line contains two positive integers $l_{i}$ , $r_{i}$ ( $1<=l_{i}<=r_{i}<=10^{6}$ ) — the borders of the $i$ -th segment.
Next $m$ lines contain the description of the queries, one per line. Each line starts from integer $cnt_{i}$ ( $1<=cnt_{i}<=3·10^{5}$ ) — the number of points in the $i$ -th query. Then the line contains $cnt_{i}$ distinct positive integers $p_{1},p_{2},...,p_{cnti}$ ( $1<=p_{1}<p_{2}<...<p_{cnti}<=10^{6}$ ) — the coordinates of points in the $i$ -th query.
It is guaranteed that the total number of points in all queries doesn't exceed $3·10^{5}$ .
Next $n$ lines contain the descriptions of the segments. The $i$ -th line contains two positive integers $l_{i}$ , $r_{i}$ ( $1<=l_{i}<=r_{i}<=10^{6}$ ) — the borders of the $i$ -th segment.
Next $m$ lines contain the description of the queries, one per line. Each line starts from integer $cnt_{i}$ ( $1<=cnt_{i}<=3·10^{5}$ ) — the number of points in the $i$ -th query. Then the line contains $cnt_{i}$ distinct positive integers $p_{1},p_{2},...,p_{cnti}$ ( $1<=p_{1}<p_{2}<...<p_{cnti}<=10^{6}$ ) — the coordinates of points in the $i$ -th query.
It is guaranteed that the total number of points in all queries doesn't exceed $3·10^{5}$ .
输出格式
Print $m$ non-negative integers, where the $i$ -th number is the response to the $i$ -th query.
输入输出样例
输入 #1
3 3 1 3 4 5 6 7 3 1 4 7 2 4 5 1 8
输出 #1
3 1 0