【文件属性】:
文件名称:Mountain Watching
文件大小:536B
文件格式:TXT
更新时间:2013-06-23 11:28:46
ACM Mountain Watching
Description
Mountain Watching [Jeffrey Wang, 2009]
One day, Bessie was gazing off into the distance at the beautiful Wisconsin
mountains when she wondered to herself: which mountain is the widest one?
She decided to take N (1 <= N <= 100,000) equally-spaced height measurements
H_i (1 <= H_i <= 1,000,000,000) sequentially along the horizon using her new
Acme Long Distance Geoaltimeter.
A mountain is defined to be a consecutive sequence of H_i values which increases
(or stays the same) and then decreases (or stays the same), e.g., 2, 3, 3, 5, 4,
4, 1. It is possible for a mountain on the edge of her field of vision only to
increase or only to decrease in height, as well.
The width of a mountain is the number of measurements it encompasses.
Help Bessie identify the widest mountain.
Here's a simple example of a typical horizon:
******* *
********* ***
********** *****
*********** ********* *
* ***************** *********** *** *
** ******************* ************* * * ******* *
**********************************************************************
3211112333677777776543332111112344456765432111212111112343232111111211
aaaaaa ccccccccccccccccccccc eeeeeee ggggggggg
bbbbbbbbbbbbbbbbbbbbbbbbbbbb ddddd ffffffffff hhhhhhhhh
The mountains are marked 'a', 'b', etc. Obviously, mountain b is widest with
width 28. The mountain on the left has width 6 for the purposes of this task.
Input
* There are multiple test cases.
* For each case:
** Line 1: A single integer: N
** Lines 2..N+1: Line i+1 contains a single integer: H_i
Output
* For each case:
** Line 1: A single line with a single integer that is the width of the
widest mountain.
Sample Input
7
3
2
3
5
4
1
6
INPUT DETAILS:
The height measurements are 3, 2, 3, 5, 4, 1, 6.
Sample Output
5
OUTPUT DETAILS:
The widest mountain consists of the measurements 2, 3, 5, 4, 1. Other
mountains include 3, 2 and 1, 6