Peak

A sequence of (n) integers (a_1, a_2, dots, a_n) is called a peak, if and only if there exists exactly one integer (k) such that (1 < k < n), and (a_i < a_{i+1}) for all (1 le i < k), and (a_{i-1} > a_i) for all (k < i le n).

Given an integer sequence, please tell us if it's a peak or not.

Input
There are multiple test cases. The first line of the input contains an integer (T), indicating the number of test cases. For each test case:

The first line contains an integer (n) ((3 le n le 10^5)), indicating the length of the sequence.

The second line contains (n) integers (a_1, a_2, dots, a_n) ((1 le a_i le 2 imes 10^9)), indicating the integer sequence.

It's guaranteed that the sum of (n) in all test cases won't exceed (10^6).

Output
For each test case output one line. If the given integer sequence is a peak, output "Yes" (without quotes), otherwise output "No" (without quotes).

Sample Input
7
5
1 5 7 3 2
5
1 2 1 2 1
4
1 2 3 4
4
4 3 2 1
3
1 2 1
3
2 1 2
5
1 2 3 1 2
Sample Output
Yes
No
No
No
Yes
No
No

#include<bits/stdc++.h>

using namespace std;
int a[1000005];
int main()
{
    int t;;
    cin>>t;
    while(t--){
        int f=1;
        int n;
        cin>>n;
        for(int i=0;i<n;i++){
            cin>>a[i];
        }
        int pos=-1;
        for(int i=0;i<n;i++){
            if(i!=0&&i!=n-1){
                if(a[i-1]<a[i] && a[i]>a[i+1]){
                    pos=i;
                }
            }
        }
        //cout<<pos<<" "<<a[pos]<<endl;
        for(int i=0;i<n;i++){
            if(i<pos){
                if(a[i]>=a[i+1]) f=0;
            }
            if(i>pos){
                if(a[i]>=a[i-1]) f=0;
            }
        }
        f?puts("Yes"):puts("No");
    }
}