There are n rectangles drawn on the plane. Each rectangle has sides parallel to the coordinate axes and integer coordinates of vertices.

We define a block as follows:

Examples

The rectangles in Figure 1 form two separate blocks.

Figure 1

The rectangles in Figure 2 form a single block

Figure 2

Task

Write a program that for each test case:

Input

The number of test cases t is in the first line of input, then t test cases follow separated by an empty line.

In the first line of a test case there is an integer n, 1 <= n <= 7000, which is the number of rectangles. In the following n lines there are coordinates of rectangles. Each rectangle is described by four numbers: coordinates x, y of the bottom-left vertex and coordinates x, y of the top-right vertex. All these coordinates are non-negative integers not greater than 10000.

Output

For each test case you should output one line with the number of separate blocks formed by the given rectangles.

Example

Sample input:
1
9
0 3 2 6
4 5 5 7
4 2 6 4
2 0 3 2
5 3 6 4
3 2 5 3
1 4 4 7
0 0 1 4
0 0 4 1

Sample output:
2