题目描述
Problem Statement
There are N piles of stones. Initially, the i-th pile contains A_i stones. With these piles, Taro the First and Jiro the Second play a game against each other.
Taro the First and Jiro the Second make the following move alternately, with Taro the First going first:
- Choose a pile of stones, and remove between L and R stones (inclusive) from it.
A player who is unable to make a move loses, and the other player wins. Who wins if they optimally play to win?
Input
The input is given from Standard Input in the following format:
N L R
$A_1 A_2 \ldots A_N$
Output
Print First if Taro the First wins; print Second if Jiro the Second wins.
Constraints
- $1\leq N \leq 2\times 10^5$
- $1\leq L \leq R \leq 10^9$
- $1\leq A_i \leq 10^9$
- All values in the input are integers.
Sample Input 1
3 1 2
2 3 3
Sample Output 1
First
Taro the First can always win by removing two stones from the first pile in his first move.
Sample Input 2
5 1 1
3 1 4 1 5
Sample Output 2
Second
Sample Input 3
7 3 14
10 20 30 40 50 60 70
Sample Output 3
First
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分