Problem: Leha somehow found an array consisting of n integers. Looking at it, he came up with a task. Two players play the game on the array. Players move one by one. The first player can choose for his move a subsegment of non-zero length with an odd sum of numbers and remove it from the array, after that the remaining parts are glued together into one array and the game continues. The second player can choose a subsegment of non-zero length with an even sum and remove it. Loses the one who can not make a move. Who will win if both play optimally?

Input

First line of input data contains single integer n (1 ≤ n ≤ 106) — length of the array.

Next line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109).

Output

Output answer in single line. "First", if first player wins, and "Second" otherwise (without quotes).

Examples

Input

4
1 3 2 3


Output

First


Input

2
2 2


Output

Second

Note

In first sample first player remove whole array in one move and win.

In second sample first player can't make a move and lose.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.math.*;

public class utkarsh {

    InputStream is;
    PrintWriter out;
    
    long maxl = (long) 4e18, mod = (long)1e9 + 7L;
    int p[], s[], maxi = (int) 2e9, sz, np = 15485900, modi = (int)1e9 + 7;
    boolean b[];    // = isPrime();
    
    void solve(){
        //sz=sieve(); //sz = 1000001;
        //out.println(sz);
        //Enter code here utkarsh
        int i, j, n;
        n = ni();
        long x;
        boolean f = false;
        long a[] = new long[n];
        x = 0;
        for(i = 0; i < n; i++){
            a[i] = nl();
            a[i] = (a[i] & 1);
            //out.println(a[i]);
            if(a[i] == 1)   f = true;
            x += a[i];
        }
        if(x%2 == 1 || f){
            out.println("First");
        }else{
            out.println("Second");
        }
    }
    
    int sieve(){
        int i, j, n = np; 
        b = new boolean[n]; 
        s = new int[n];
        for(i = 3; i < n; i += 2) {
            b[i] = true;
            s[i-1] = 2;
        }
        b[2] = true;
        s[1] = 1;   //(UD)
        for(i = 3; i * i <= n; i += 2) {
            if ( b[i] ) {
                s[i] = i;
                for(j = i * i; j < n; j += i) {
                    b[j] = false;
                    if(s[j] == 0)   s[j] = i;
                }
            } 
        } 
	for( ; i < n; i++)  if(s[i] == 0)   s[i] = i;
        p = new int[n];
        p[0] = 2;
        j = 1; 
        for(i = 3; i < n; i += 2) {
            if ( b[i] ) {
                p[j++] = i; 
            }
        } 
        p = Arrays.copyOf(p, j);
        return j;
    }
    long modpow(long base, long exp, long modulus) { base %= modulus; long result = 1L; while (exp > 0) { if ((exp & 1)==1) result = (result * base) % modulus; base = (base * base) % modulus; exp >>= 1; } return result;
    }
    
    public static void main(String[] args) { new utkarsh().run();
    }
    void run(){ is = System.in; out = new PrintWriter(System.out); solve(); out.flush();
    }
    
    byte input[] = new byte[1024];
    int len = 0, ptr = 0;
    
    int readByte(){ if(ptr >= len){ ptr = 0; try{ len = is.read(input); }catch(IOException e){ throw new InputMismatchException(); } if(len <= 0){ return -1; } } return input[ptr++];
    }
    boolean isSpaceChar(int c){ return !( c >= 33 && c <= 126 ); 
    }
    int skip(){ int b = readByte(); while(b != -1 && isSpaceChar(b)){ b = readByte(); } return b;
    }
    
    char nc(){ return (char)skip();
    }
    String ns(){ int b = skip(); StringBuilder sb = new StringBuilder(); while(!isSpaceChar(b)){ sb.appendCodePoint(b); b=readByte(); } return sb.toString();
    }
    int ni(){ int n = 0,b = readByte(); boolean minus = false; while(b != -1 && !( (b >= '0' && b <= '9') || b == '-')){ b = readByte(); } if(b == '-'){ minus = true; b = readByte(); } if(b == -1){ return -1; } while(b >= '0' && b <= '9'){ n = n * 10 + (b - '0'); b = readByte(); } return minus ? -n : n;
    }
    long nl(){ long n = 0L; int b = readByte(); boolean minus = false; while(b != -1 && !( (b >= '0' && b <= '9') || b == '-')){ b = readByte(); } if(b == '-'){ minus = true; b = readByte(); } while(b >= '0' && b <= '9'){ n = n * 10 + (b - '0'); b = readByte(); } return minus ? -n : n;
    }
    double nd(){ return Double.parseDouble(ns());
    }
    float nf(){ return Float.parseFloat(ns());
    }
    int[] na(int n){ int a[] = new int[n]; for(int i = 0; i < n; i++){ a[i] = ni(); } return a;
    }
    char[] ns(int n){ char c[] = new char[n]; int i,b = skip(); for(i = 0; i < n; i++){ if(isSpaceChar(b)){ break; } c[i] = (char)b; b = readByte(); } return i == n ? c : Arrays.copyOf(c,i);
    }
}