2072. City Skyline

单点时限: 2.0 sec

内存限制: 256 MB

The best part of the day for Farmer John’s cows is when the sun sets. They can see the skyline of the distant city. Bessie wonders how many buildings the city has. Write a program that assists the cows in calculating the minimum number of buildings in the city, given a profile of its skyline.

The city in profile is quite dull architecturally, featuring only box-shaped buildings. The skyline of a city on the horizon is somewhere between 1 and W units wide (1 <= W <= 1,000,000) and described using N (1 <= N <= 50,000) successive x and y coordinates (1 <= x <= W, 0 <= y <= 500,000), defining at what point the skyline changes to a certain height.

An example skyline could be:

..........................

.....XX.........XXX.......

.XXX.XX.......XXXXXXX.....

XXXXXXXXXX....XXXXXXXXXXXX

and would be encoded as (1,1), (2,2), (5,1), (6,3), (8,1), (11,0), (15,2), (17,3), (20,2), (22,1).

This skyline requires a minimum of 6 buildings to form; below is one possible set of six buildings whose could create the skyline above:

.......................... ..........................

.....22.........333....... .....XX.........XXX.......

.111.22.......XX333XX..... .XXX.XX.......5555555.....

X111X22XXX....XX333XXXXXXX 4444444444....5555555XXXXX

..........................

.....XX.........XXX.......

.XXX.XX.......XXXXXXX.....

XXXXXXXXXX....666666666666

输入格式

  • Line 1: Two space separated integers: N and W

  • Lines 2..N+1: Two space separated integers, the x and y coordinate of a point where the skyline changes. The x coordinates are presented in strictly increasing order, and the first x coordinate will always be 1.

输出格式

  • Line 1: The minimum number of buildings to create the described skyline.

样例

Input
10 26
1 1
2 2
5 1
6 3
8 1
11 0
15 2
17 3
20 2
22 1
Output
6
Hint
INPUT DETAILS:
The case mentioned above

7 人解决,8 人已尝试。

11 份提交通过,共有 28 份提交。

6.1 EMB 奖励。

创建: 16 年,10 月前.

修改: 7 年,2 月前.

最后提交: 1 年,4 月前.

来源: USACO

题目标签