|| ||Code Submission Evaluation System
CSES Problem Set
Task | Statistics
CSES - Stick Game
|Time limit:||1.00 s
||Memory limit:||512 MB|
There are $n$ heaps of sticks and two players who move alternately. On each move, a player chooses a non-empty heap and removes $1$, $2$, or $3$ sticks. The player who removes the last stick wins the game.
Your task is to find out who wins if both players play optimally.
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 sticks in each heap.
For each test case, print "first" if the first player wins the game and "second" if the second player wins the game.
- $1 \le t \le 5 \cdot 10^5$
- $1 \le n \le 5 \cdot 10^5$
- $1 \le x_i \le 10^9$
- the sum of all $n$ is at most $5 \cdot 10^5$
5 7 2 5
4 4 4