1314. Rectangles

单点时限: 2.0 sec

内存限制: 256 MB

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:

  • each rectangle is a block,

  • if two distinct blocks have a common segment then they form the new block otherwise we say that these blocks are separate.

Examples:

Write a program that:

  • reads the number of rectangles and coordinates of their vertices;

  • finds the number of separate blocks formed by the rectangles;

  • writes the result.

输入格式

In the first line of the input 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.

输出格式

In the first and only line of the output there should be written a single integer - the number of separate blocks formed by the given rectangles.

样例

Input
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
Output
2

0 人解决,7 人已尝试。

0 份提交通过,共有 14 份提交。

9.9 EMB 奖励。

创建: 17 年,3 月前.

修改: 7 年,2 月前.

最后提交: 3 年,12 月前.

来源: POI 1998 III Stage

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