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Concat Sort CodeChef Solution

We Are Discuss About CODECHEF SOLUTION

Concat Sort CodeChef Solution

Concat Sort CodeChef Solution

JJ has an array A. He can perform the following operation on A:

  • Divide¬†A¬†into two subsequences¬†P¬†and¬†Q¬†such that each¬†A_i¬†belongs to either¬†P¬†or¬†Q.
  • Set¬†A := P\ \texttt{concat}\ Q

Here \texttt{concat} denotes the concatenation operation. For e.g. [2, 1, 5] \texttt{ concat } [4, 3] = [2, 1, 5, 4, 3].

Is it possible to make A sorted in non-decreasing order after applying the above operation at most once?

Note: An array X is a subsequence of an array Y if X can be obtained by deletion of several (possibly, zero or all) elements from Y.

Input Format

  • The first line contains a single integer¬†T¬†‚ÄĒ the number of test cases. Then the test cases follow.
  • The first line of each test case contains an integer¬†N¬†‚ÄĒ the size of the array¬†A.
  • The second line of each test case contains¬†N¬†space-separated integers¬†A_1, A_2, \ldots, A_N¬†denoting the array¬†A.

Concat Sort CodeChef Solution

Output Format

For each test case, output YES if it is possible to make the array A sorted after applying the given operation at most once. Otherwise, output NO.

You may print each character of YES and NO in uppercase or lowercase (for example, yes, yEs, Yes will be considered identical).

Constraints

  • 1 \leq T \leq 10^5
  • 2 \leq N \leq 10^5
  • 1 \le A_i \le 10^9
  • Sum of¬†N¬†over all test cases does not exceed¬†2 \cdot 10^5.

Concat Sort CodeChef Solution

Sample 1:

Input

Output

3
6
4 5 6 1 2 3
5
1 3 5 2 4
5
5 10 7 11 9
YES
NO
YES

Explanation:

Test case 1: We can select P = [1, 2, 3] and Q = [4, 5, 6]. Therefore A will become [1, 2, 3, 4, 5, 6] which is sorted.

Test case 2: It can be proven that it is not possible to sort A by using the given operation at most once.

Test case 3: We can select P = [5, 7, 9] and Q = [10, 11]. Therefore A will become [5, 7, 9, 10, 11] which is sorted.

SOLUTION

Concat Sort CodeChef Solution

SOLUTION

Concat Sort CodeChef Solution

SOLUTION

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