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.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class Main {
  static InputStream is;
  static PrintWriter out;
  static String INPUT = "";

  static void solve() {
    int n = ni();
    int[] a = na(n);
    
    for (int v : a) {
      if (v % 2 == 1) {
        out.println("First");
        return;
      }
    }
    out.println("Second");
  }

  public static void main(String[] args) throws Exception {
    long S = System.currentTimeMillis();
    is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
    out = new PrintWriter(System.out);
    solve();
    out.flush();
    long G = System.currentTimeMillis();
    tr(G - S + "ms");
  }

  private static boolean eof() {
    if (lenbuf == -1)
      return true;
    int lptr = ptrbuf;
    while (lptr < lenbuf)
      if (!isSpaceChar(inbuf[lptr++]))
        return false;

    try {
      is.mark(1000);
      while (true) {
        int b = is.read();
        if (b == -1) {
          is.reset();
          return true;
        } else if (!isSpaceChar(b)) {
          is.reset();
          return false;
        }
      }
    } catch (IOException e) {
      return true;
    }
  }

  private static byte[] inbuf = new byte[1024];
  static int lenbuf = 0, ptrbuf = 0;

  private static int readByte() {
    if (lenbuf == -1)
      throw new InputMismatchException();
    if (ptrbuf >= lenbuf) {
      ptrbuf = 0;
      try {
        lenbuf = is.read(inbuf);
      } catch (IOException e) {
        throw new InputMismatchException();
      }
      if (lenbuf <= 0)
        return -1;
    }
    return inbuf[ptrbuf++];
  }

  private static boolean isSpaceChar(int c) {
    return !(c >= 33 && c <= 126);
  }

  private static int skip() {
    int b;
    while ((b = readByte()) != -1 && isSpaceChar(b));
    return b;
  }

  private static double nd() {
    return Double.parseDouble(ns());
  }

  private static String ns() {
    int b = skip();
    StringBuilder sb = new StringBuilder();
    while (!(isSpaceChar(b))) {
      sb.appendCodePoint(b);
      b = readByte();
    }
    return sb.toString();
  }

  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++)
      a[i] = ni();
    return a;
  }

  private static int ni() {
    return (int) nl();
  }

  private static long nl() {
    long num = 0;
    int b;
    boolean minus = false;
    while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
    if (b == '-') {
      minus = true;
      b = readByte();
    }

    while (true) {
      if (b >= '0' && b <= '9') {
        num = num * 10 + (b - '0');
      } else {
        return minus ? -num : num;
      }
      b = readByte();
    }
  }

  private static void tr(Object... o) {
    if (INPUT.length() != 0)
      System.out.println(Arrays.deepToString(o));
  }
}