LogiQuest

384. Symmetric Tree

EasyRecursion

Print YES if the tree is a mirror of itself around its centre, else NO.

Input format

Line 1: n (number of level-order entries) Line 2: the values in level order, -1 for a missing child

Output format

YES or NO

Example 1

Input

7
1 2 2 3 4 4 3

Output

YES

Example 2

Input

7
1 2 2 -1 3 -1 3

Output

NO

Constraints

1 ≤ nodes ≤ 10⁴

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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