Problems > Remove an Even Number

Remove an Even Number

Difficulty: 1800 6000 ms 128 MB

dp games

A single pile of n stones; a move removes a positive even number of stones (2, 4, 6, ...). The player unable to move loses. For each query n, print the winner.

Input: the first line has Q; each of the next Q lines has a pile size n.

Output: one line per query.

Constraints:

  • 1 ≤ Q ≤ 104
  • 0 ≤ n ≤ 104

Sample Tests

Input 1
3
1
2
5
Output 1
SECOND
FIRST
FIRST

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