Polycarp has an array a consisting of n integers.

He wants to play a game with this array. The game consists of several moves. On the first move he chooses any element and deletes it (after the first move the array contains n-1 elements). For each of the next moves he chooses any element with the only restriction: its parity should differ from the parity of the element deleted on the previous move. In other words, he alternates parities (even-odd-even-odd-... or odd-even-odd-even-...) of the removed elements. Polycarp stops if he can't make a move.

Formally: 

  * If it is the first move, he chooses any element and deletes it; 
  * If it is the second or any next move: 
    * if the last deleted element was odd, Polycarp chooses any even element and deletes it; 
    * if the last deleted element was even, Polycarp chooses any odd element and deletes it. 
  * If after some move Polycarp cannot make a move, the game ends. 



Polycarp's goal is to minimize the sum of non-deleted elements of the array after end of the game. If Polycarp can delete the whole array, then the sum of non-deleted elements is zero.

Help Polycarp find this value.

Input

The first line of the input contains one integer n (1 ≤ n ≤ 2000) — the number of elements of a.

The second line of the input contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^6), where a_i is the i-th element of a.

Output

Print one integer — the minimum possible sum of non-deleted elements of the array after end of the game.

Examples

Input


5
1 5 7 8 2


Output


0


Input


6
5 1 2 4 6 3


Output


0


Input


2
1000000 1000000


Output


1000000
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.*;
import java.util.*;

public class Main {

	public static void main(String[] args) throws IOException {
		FastReader in = new FastReader(System.in);
		PrintWriter out = new PrintWriter(System.out);
		int n = in.nextInt();
		int e = 0;
		int o = 0;
		int[] a = new int[n];
		long sumE = 0;
		long sumO = 0;

		for (int i = 0; i < n; i++) {
			int x = in.nextInt();
			a[i] = x;

			if (x % 2 == 0) {
				sumE += x;
				++e;
			} else {
				sumO += x;
				++o;
			}
		}
		if (Math.abs(e - o) > 1) {
			Arrays.sort(a);
			if (e > o) {
				int max = o + 1;
				for (int i = n - 1; i > -1; i--) {
					if (a[i] % 2 == 0 && max > 0) {
						sumE -= a[i];
						--max;
					}
				}
				out.println(sumE);
			} else {
				int max = e + 1;
				for (int i = n - 1; i > -1; i--) {
					if (a[i] % 2 != 0 && max > 0) {
						sumO -= a[i];
						--max;
					}
				}
				out.println(sumO);
			}
			
		} else {
			out.println(0);
		}

		out.flush();
		out.close();

	}

	static class FastReader {
		StringTokenizer st;
		BufferedReader br;

		public FastReader(InputStream s) {
			br = new BufferedReader(new InputStreamReader(s));
		}

		public FastReader(FileReader fileReader) {
			br = new BufferedReader(fileReader);
		}

		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}

		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}

		public int[] nextIntArray(int n) throws IOException {
			int[] ret = new int[n];
			for (int i = 0; i < n; i++) {
				ret[i] = nextInt();
			}
			return ret;
		}

		public long[] nextIntLong(int n) throws IOException {
			long[] ret = new long[n];
			for (int i = 0; i < n; i++) {
				ret[i] = nextLong();
			}
			return ret;
		}

		public double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}

		public long nextLong() throws IOException {
			return Long.parseLong(next());
		}

		public String nextLine() throws IOException {
			return br.readLine();
		}

		public boolean ready() throws IOException {
			return br.ready();
		}
	}

}