Codeforces 1291 Round #616 (Div. 2) B

B. Array Sharpening

time limit per test1 second

memory limit per test256 megabytes

inputstandard input

outputstandard output

You’re given an array a1,…,an of n non-negative integers.

Let’s call it sharpened if and only if there exists an integer 1≤k≤n such that a1<a2<…ak+1>…>an. In particular, any strictly increasing or strictly decreasing array is sharpened. For example:

The arrays [4], [0,1], [12,10,8] and [3,11,15,9,7,4] are sharpened;

The arrays [2,8,2,8,6,5], [0,1,1,0] and [2,5,6,9,8,8] are not sharpened.

You can do the following operation as many times as you want: choose any strictly positive element of the array, and decrease it by one. Formally, you can choose any i (1≤i≤n) such that ai>0 and assign ai:=ai−1.

Tell if it’s possible to make the given array sharpened using some number (possibly zero) of these operations.

Input

The input consists of multiple test cases. The first line contains a single integer t (1≤t≤15 000) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer n (1≤n≤3⋅105).

The second line of each test case contains a sequence of n non-negative integers a1,…,an (0≤ai≤109).

It is guaranteed that the sum of n over all test cases does not exceed 3⋅105.

Output

For each test case, output a single line containing “Yes” (without quotes) if it’s possible to make the given array sharpened using the described operations, or “No” (without quotes) otherwise.

Example

inputCopy

10

1

248618

3

12 10 8

6

100 11 15 9 7 8

4

0 1 1 0

2

0 0

2

0 1

2

1 0

2

1 1

3

0 1 0

3

1 0 1

outputCopy

Yes

Yes

Yes

No

No

Yes

Yes

Yes

Yes

No

Note

In the first and the second test case of the first test, the given array is already sharpened.

In the third test case of the first test, we can transform the array into [3,11,15,9,7,4] (decrease the first element 97 times and decrease the last element 4 times). It is sharpened because 3<11<15 and 15>9>7>4.

In the fourth test case of the first test, it’s impossible to make the given array sharpened.

这个题考虑不能构成的情况，就是从这数左边不能构成，右边也不能构成。然后左右都可以的时候，中间两个可能相等不能构成左右。

#include <bits/stdc++.h>
using namespace std;
int a[300010];
int main()
{
    int T;
    cin >> T;
    while (T--)
    {
        int n;
        cin>>n;
        bool bk = true;
        for (int i = 1; i <= n; i++)
            cin>>a[i] ;
        for (int i = 1; i <= n; i++)
            if (a[i] < min(i - 1, n - i))
            {
                bk = false;
                break;
            }
        if (n % 2 == 0 && max(a[n / 2], a[n / 2 + 1]) < n / 2)
        {
            bk = false;
        }
        if (bk == false)
            puts("No");
        else
            puts("Yes");
    }
    return 0;
}