Upload code_segments/segment_29.txt with huggingface_hub
Browse files- code_segments/segment_29.txt +23 -0
code_segments/segment_29.txt
ADDED
|
@@ -0,0 +1,23 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
Mocha likes arrays, so before her departure, Bazoka gave her an array $a$ consisting of $n$ positive integers as a gift.
|
| 2 |
+
|
| 3 |
+
Now Mocha wants to know whether array $a$ could become sorted in non- decreasing order after performing the following operation some (possibly, zero) times:
|
| 4 |
+
|
| 5 |
+
* Split the array into two parts — a prefix and a suffix, then swap these two parts. In other words, let $a=x+y$. Then, we can set $a:= y+x$. Here $+$ denotes the array concatenation operation.
|
| 6 |
+
|
| 7 |
+
For example, if $a=[3,1,4,1,5]$, we can choose $x=[3,1]$ and $y=[4,1,5]$, satisfying $a=x+y$. Then, we can set $a:= y + x = [4,1,5,3,1]$. We can also choose $x=[3,1,4,1,5]$ and $y=[\,]$, satisfying $a=x+y$. Then, we can set $a := y+x = [3,1,4,1,5]$. Note that we are not allowed to choose $x=[3,1,1]$ and $y=[4,5]$, neither are we allowed to choose $x=[1,3]$ and $y=[5,1,4]$, as both these choices do not satisfy $a=x+y$.
|
| 8 |
+
|
| 9 |
+
Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1\leq t\leq 1000$). The description of the test cases follows.
|
| 10 |
+
|
| 11 |
+
The first line of each test case contains a single integer $n$ ($2\leq n\leq 50$) — the length of the array $a$.
|
| 12 |
+
|
| 13 |
+
The second line of each test case contains $n$ integers $a_1,a_2,\ldots,a_n$ ($1\leq a_i \leq 10^6$) — the elements of array $a$.
|
| 14 |
+
|
| 15 |
+
For each test case, output "Yes" if $a$ could become non-decreasing after performing the operation any number of times, and output "No" if not.
|
| 16 |
+
|
| 17 |
+
You can output "Yes" and "No" in any case (for example, strings "yEs", "yes", "Yes" and "YES" will be recognized as a positive response).
|
| 18 |
+
|
| 19 |
+
In the first test case, it can be proven that $a$ cannot become non- decreasing after performing the operation any number of times.
|
| 20 |
+
|
| 21 |
+
In the second test case, we can perform the following operations to make $a$ sorted in non-decreasing order:
|
| 22 |
+
|
| 23 |
+
* Split the array into two parts: $x=[7]$ and $y=[9,2,2,3]$, then swap these two parts. The array will become $y+x = [9,2,2,3,7]$. * Split the array into two parts: $x=[9]$ and $y=[2,2,3,7]$, then swap the
|