Last Year's Substring

题意翻译

本题给你一个字符串，问删去其中一个可以为空的字串后，能否使其变为"$2020$"。 输入格式： 第一行一个整数，为测试数据数量。 对于每个数据，第一行一个整数，为字符串长度。第二行输入字符串。 输出格式： 对于每个数据点，如果可以，输出$YES$，否则输出$NO$。

题目描述

Polycarp has a string $ s[1 \dots n] $ of length $ n $ consisting of decimal digits. Polycarp performs the following operation with the string $ s $ no more than once (i.e. he can perform operation $ 0 $ or $ 1 $ time): - Polycarp selects two numbers $ i $ and $ j $ ( $ 1 \leq i \leq j \leq n $ ) and removes characters from the $ s $ string at the positions $ i, i+1, i+2, \ldots, j $ (i.e. removes substring $ s[i \dots j] $ ). More formally, Polycarp turns the string $ s $ into the string $ s_1 s_2 \ldots s_{i-1} s_{j+1} s_{j+2} \ldots s_{n} $ . For example, the string $ s = $ "20192020" Polycarp can turn into strings: - "2020" (in this case $ (i, j)=(3, 6) $ or $ (i, j)=(1, 4) $ ); - "2019220" (in this case $ (i, j)=(6, 6) $ ); - "020" (in this case $ (i, j)=(1, 5) $ ); - other operations are also possible, only a few of them are listed above. Polycarp likes the string "2020" very much, so he is wondering if it is possible to turn the string $ s $ into a string "2020" in no more than one operation? Note that you can perform zero operations.

输入输出格式

输入格式

The first line contains a positive integer $ t $ ( $ 1 \leq t \leq 1000 $ ) — number of test cases in the test. Then $ t $ test cases follow. The first line of each test case contains an integer $ n $ ( $ 4 \leq n \leq 200 $ ) — length of the string $ s $ . The next line contains a string $ s $ of length $ n $ consisting of decimal digits. It is allowed that the string $ s $ starts with digit 0.

输出格式

For each test case, output on a separate line: - "YES" if Polycarp can turn the string $ s $ into a string "2020" in no more than one operation (i.e. he can perform $ 0 $ or $ 1 $ operation); - "NO" otherwise. You may print every letter of "YES" and "NO" in any case you want (so, for example, the strings yEs, yes, Yes and YES will all be recognized as positive answer).

输入输出样例

输入样例 #1

6
8
20192020
8
22019020
4
2020
5
20002
6
729040
6
200200

输出样例 #1

YES
YES
YES
NO
NO
NO

说明

In the first test case, Polycarp could choose $ i=3 $ and $ j=6 $ . In the second test case, Polycarp could choose $ i=2 $ and $ j=5 $ . In the third test case, Polycarp did not perform any operations with the string.