Codeforces Round 874 (Div. 3) |
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Finished |

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C. Vlad Building Beautiful Array

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVlad was given an array $$$a$$$ of $$$n$$$ positive integers. Now he wants to build a beautiful array $$$b$$$ of length $$$n$$$ from it.

Vlad considers an array beautiful if all the numbers in it are positive and have the same parity. That is, all numbers in the beautiful array are greater than zero and are either all even or all odd.

To build the array $$$b$$$, Vlad can assign each $$$b_i$$$ either the value $$$a_i$$$ or $$$a_i - a_j$$$, where any $$$j$$$ from $$$1$$$ to $$$n$$$ can be chosen.

To avoid trying to do the impossible, Vlad asks you to determine whether it is possible to build a beautiful array $$$b$$$ of length $$$n$$$ using his array $$$a$$$.

Input

The first line of input contains an integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of test cases.

Then follow the descriptions of the test cases.

The first line of each case contains a single integer $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — the length of the array $$$a$$$.

The second line of each case contains $$$n$$$ positive integers $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$) — the elements of the array $$$a$$$.

It is guaranteed that the sum of $$$n$$$ over all cases does not exceed $$$2 \cdot 10^5$$$.

Output

Output $$$t$$$ strings, each of which is the answer to the corresponding test case. As the answer, output "YES" if Vlad can build a beautiful array $$$b$$$, and "NO" otherwise.

You can output the answer in any case (for example, the strings "yEs", "yes", "Yes" and "YES" will be recognized as a positive answer).

Example

Input

752 6 8 4 351 4 7 6 942 6 4 1075 29 13 9 10000001 11 352 1 2 4 252 4 5 4 342 5 5 4

Output

NO YES YES YES YES NO NO

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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