CF1462A.Favorite Sequence

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题目描述

Polycarp has a favorite sequence a[1n]a[1 \dots n] consisting of nn integers. He wrote it out on the whiteboard as follows:

  • he wrote the number a1a_1 to the left side (at the beginning of the whiteboard);
  • he wrote the number a2a_2 to the right side (at the end of the whiteboard);
  • then as far to the left as possible (but to the right from a1a_1 ), he wrote the number a3a_3 ;
  • then as far to the right as possible (but to the left from a2a_2 ), he wrote the number a4a_4 ;
  • Polycarp continued to act as well, until he wrote out the entire sequence on the whiteboard.

The beginning of the result looks like this (of course, if n4n \ge 4 ).For example, if n=7n=7 and a=[3,1,4,1,5,9,2]a=[3, 1, 4, 1, 5, 9, 2] , then Polycarp will write a sequence on the whiteboard [3,4,5,2,9,1,1][3, 4, 5, 2, 9, 1, 1] .

You saw the sequence written on the whiteboard and now you want to restore Polycarp's favorite sequence.

输入格式

The first line contains a single positive integer tt ( 1t3001 \le t \le 300 ) — the number of test cases in the test. Then tt test cases follow.

The first line of each test case contains an integer nn ( 1n3001 \le n \le 300 ) — the length of the sequence written on the whiteboard.

The next line contains nn integers b1,b2,,bnb_1, b_2,\ldots, b_n ( 1bi1091 \le b_i \le 10^9 ) — the sequence written on the whiteboard.

输出格式

Output tt answers to the test cases. Each answer — is a sequence aa that Polycarp wrote out on the whiteboard.

输入输出样例

  • 输入#1

    6
    7
    3 4 5 2 9 1 1
    4
    9 2 7 1
    11
    8 4 3 1 2 7 8 7 9 4 2
    1
    42
    2
    11 7
    8
    1 1 1 1 1 1 1 1

    输出#1

    3 1 4 1 5 9 2 
    9 1 2 7 
    8 2 4 4 3 9 1 7 2 8 7 
    42 
    11 7 
    1 1 1 1 1 1 1 1

说明/提示

In the first test case, the sequence aa matches the sequence from the statement. The whiteboard states after each step look like this:

[3][3,1][3,4,1][3,4,1,1][3,4,5,1,1][3,4,5,9,1,1][3,4,5,2,9,1,1][3] \Rightarrow [3, 1] \Rightarrow [3, 4, 1] \Rightarrow [3, 4, 1, 1] \Rightarrow [3, 4, 5, 1, 1] \Rightarrow [3, 4, 5, 9, 1, 1] \Rightarrow [3, 4, 5, 2, 9, 1, 1] .

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