A. Beautiful Sequencetime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputA sequence of m integers a_{1}, a_{2}, \ldots, a_{m} is good, if and only if there exists at least one i (1 \le i \le m) such that a_{i} = i. For example, [3,2,3] is a good sequence, since a_{2} = 2, a_{3} = 3, while [3,1,1] is not a good sequence, since there is no i such that a_{i} = i.A sequence a is beautiful, if and only if there exists at least one subsequence of a satisfying that this subsequence is good. For example, [4,3,2] is a beautiful sequence, since its subsequence [4,2] is good, while [5,3,4] is not a beautiful sequence.A sequence b is a subsequence of a sequence a if b can be obtained from a by the deletion of several (possibly, zero or all) elements. Now you are given a sequence, check whether it is beautiful or not.InputEach test contains multiple test cases. The first line contains a single integer t (1 \le t \le 500) — the number of test cases. Their description follows.The first line of each test case contains an integer n (1 \le n \le 100) — the length of the given sequence.The second line of each test case contains n integers a_{1}, a_{2}, \ldots, a_{n} (1 \le a_{i} \le 10^9), representing the sequence.OutputFor each test case, output "YES" or "NO"(without quotes) in one line, representing whether the given sequence is beautiful.You can output the answer in any case (upper or lower). For example, the strings "yEs", "yes", "Yes", and "YES" will be recognized as positive responses.ExampleInput
733 2 142 4 3 552 3 5 5 623 152 4 5 2 345 6 7 866 5 4 3 2 1Output
YES
YES
NO
YES
YES
NO
YES
NoteIn the first test case, the good subsequence is b=[3,2], where b_{2} = 2.In the second test case, the good subsequence is b=[2,4,3], where b_{3} = 3.In the fourth test case, the good subsequence is b=[1], where b_{1} = 1.In the fifth test case, the good subsequence is b=[2,2], where b_{2} = 2.
733 2 142 4 3 552 3 5 5 623 152 4 5 2 345 6 7 866 5 4 3 2 1
YES YES NO YES YES NO YES 
['brute force', 'greedy', '*800']