寒假训练营第一天(学会CB):D - Unimodal Array

由于前几天才写博客,把前几天的题补上

D - Unimodal Array CodeForces - 831A

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

Write a program that checks if an array is unimodal.


Input


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

The second line contains n integers a1, a2, …, an (1 ≤ ai ≤ 1 000) — the elements of the array.


Output


Print “YES” if the given array is unimodal. Otherwise, print “NO”.

You can output each letter in any case (upper or lower).

Examples


Input


6
1 5 5 5 4 2


Output


YES


Input


5
10 20 30 20 10


Output


YES


Input


4
1 2 1 2


Output


NO


Input


7
3 3 3 3 3 3 3


Output


YES

Note
In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively).

题意:由于这道题是英文题,可能大家也会和我一样首先产生恐惧心理,于是就会放弃,但是理解题意之后就会发现其实也就是一道水题:主要就是判断一个数组是不是增平减的结构。
AC代码如下:

#include<iostream>
#include<cstdio>
using namespace std;
int main()
{
    int a[1005],n,i;
    scanf("%d",&n);
    for(i=0;i<n;i++)
    {
        scanf("%d",&a[i]);
    }
    for(i=1;i<n;i++)
    {
        if(a[i]<=a[i-1])
            break;
    }
    for(;i<n;i++)
    {
        if(a[i]!=a[i-1])
            break;
    }
    for(;i<n;i++)
    {
        if(a[i]>=a[i-1])
            break;
    }
    if(i==n)
        printf("YES\n");
    else
        printf("NO\n");
    return 0;
}

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转载自blog.csdn.net/boliu147258/article/details/86665692