JIXMPII5Xzl3Wg#,>;:

该比赛已结束,您无法在比赛模式下递交该题目。您可以点击“在题库中打开”以普通模式查看和递交本题。

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: [5,7,11,11,2,1] [5,7,11,11,2,1] , [4,4,2] [4,4,2] , [7] [7] , but the following three are not unimodal: [5,5,6,6,1] [5,5,6,6,1] , [1,2,1,2] [1,2,1,2] , [4,5,5,6] [4,5,5,6] .

Write a program that checks if an array is unimodal.

Format

Input

The first line contains integer n n ( 1<=n<=100 1<=n<=100 ) — the number of elements in the array.

The second line contains n n integers a1,a2,...,an a_{1},a_{2},...,a_{n} ( 1<=ai<=1000 1<=a_{i}<=1000 ) — 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

未参加
状态
已结束
规则
OI
题目
46
开始于
2024-12-10 23:00
结束于
2024-12-15 13:00
持续时间
110 小时
主持人
参赛人数
112