#R. JIXMPII5Xzl3Wg#,>;:
JIXMPII5Xzl3Wg#,>;:
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Statement
Array of integers is unimodal, if:
- it is strictly increasing in the beginning;
- after that it is constant;
- after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: , , , but the following three are not unimodal: , , .
Write a program that checks if an array is unimodal.
Format
Input
The first line contains integer ( ) — the number of elements in the array.
The second line contains integers ( ) — the elements of the array.
Output
Print "YES" if the given array is unimodal. Otherwise, print "NO".
Sample
6
1 5 5 5 4 2
YES
5
10 20 30 20 10
YES
4
1 2 1 2
NO
7
3 3 3 3 3 3 3
YES
ShanghaiTech ACM 炸鱼杯
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