**Time limit:**1.00 s**Memory limit:**512 MB

Your task is to find out who wins if both players play optimally.

**Input**

The first input line contains an integer $t$: the number of tests. After this, $t$ test cases are described:

The first line contains an integer $n$: the number of heaps.

The next line has $n$ integers $x_1,x_2,\ldots,x_n$: the number of coins in each heap.

**Output**

For each test case, print "first" if the first player wins the game and "second" if the second player wins the game.

**Constraints**

- $1 \le t \le 2 \cdot 10^5$

- $1 \le n \le 2 \cdot 10^5$

- $1 \le x_i \le 10^9$

- the sum of all $n$ is at most $2 \cdot 10^5$

**Example**

Input:

`3`

3

1 2 3

2

2 2

4

5 5 4 5

Output:

`first`

second

first