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Range Search (kD Tree)
The range search problem consists of a set of attributed records S to determine which records from S intersect with a given range.
For n points on a plane, report a set of points which are within in a given range. Note that you do not need to consider insert and delete operations for the set.
Input
n
x0 y0
x1 y1
:
xn-1 yn-1
q
sx0 tx0 sy0 ty0
sx1 tx1 sy1 ty1
:
sxq-1 txq-1 syq-1 tyq-1
The first integer n is the number of points. In the following n lines, the coordinate of the i-th point is given by two integers xi and yi.
The next integer q is the number of queries. In the following q lines, each query is given by four integers, sxi, txi, syi, tyi.
Output
For each query, report IDs of points such that sxi <= x <= txi and syi <= y <= tyi. The IDs should be reported in ascending order. Print an ID in a line, and print a blank line at the end of output for the each query.
Constraints
0<= n <=500,000
0<= q <=20,000
-1,000,000,000<= x, y, sx, tx, sy, ty <=1,000,000,000
sx <= tx
sy <= ty
For each query, the number of points which are within the range is less than or equal to 100.
Sample Input 1
6
21
22
42
62
33
54
2
2404
41025
Sample Output 1
0
1
2
4
2
3
5

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