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
// Working program using Reader Class 
import java.io.*;
import java.io.DataInputStream; 
import java.io.FileInputStream; 
import java.io.IOException; 
import java.io.InputStreamReader; 
import java.util.*; 

public class Main 
{ 
	static class Reader 
	{ 
		final private int BUFFER_SIZE = 1 << 16; 
		private DataInputStream din; 
		private byte[] buffer; 
		private int bufferPointer, bytesRead; 

		public Reader() 
		{ 
			din = new DataInputStream(System.in); 
			buffer = new byte[BUFFER_SIZE]; 
			bufferPointer = bytesRead = 0; 
		} 

		public Reader(String file_name) throws IOException 
		{ 
			din = new DataInputStream(new FileInputStream(file_name)); 
			buffer = new byte[BUFFER_SIZE]; 
			bufferPointer = bytesRead = 0; 
		} 

		public String readLine() throws IOException 
		{ 
			byte[] buf = new byte[64]; // line length 
			int cnt = 0, c; 
			while ((c = read()) != -1) 
			{ 
				if (c == '\n') 
					break; 
				buf[cnt++] = (byte) c; 
			} 
			return new String(buf, 0, cnt); 
		} 

		public int nextInt() throws IOException 
		{ 
			int ret = 0; 
			byte c = read(); 

			while (c <= ' ') 
				c = read(); 
			boolean neg = (c == '-'); 
			if (neg) 
				c = read(); 
			do
			{ 
				ret = ret * 10 + c - '0'; 
			} while ((c = read()) >= '0' && c <= '9'); 

			if (neg) 
				return -ret; 
			return ret; 
		} 

		public long nextLong() throws IOException 
		{ 
			long ret = 0; 
			byte c = read(); 
			while (c <= ' ') 
				c = read(); 
			boolean neg = (c == '-'); 
			if (neg) 
				c = read(); 
			do { 
				ret = ret * 10 + c - '0'; 
			} 
			while ((c = read()) >= '0' && c <= '9'); 
			if (neg) 
				return -ret; 
			return ret; 
		} 

		public double nextDouble() throws IOException 
		{ 
			double ret = 0, div = 1; 
			byte c = read(); 
			while (c <= ' ') 
				c = read(); 
			boolean neg = (c == '-'); 
			if (neg) 
				c = read(); 

			do { 
				ret = ret * 10 + c - '0'; 
			} 
			while ((c = read()) >= '0' && c <= '9'); 

			if (c == '.') 
			{ 
				while ((c = read()) >= '0' && c <= '9') 
				{ 
					ret += (c - '0') / (div *= 10); 
				} 
			} 

			if (neg) 
				return -ret; 
			return ret; 
		} 

		private void fillBuffer() throws IOException 
		{ 
			bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); 
			if (bytesRead == -1) 
				buffer[0] = -1; 
		} 

		private byte read() throws IOException 
		{ 
			if (bufferPointer == bytesRead) 
				fillBuffer(); 
			return buffer[bufferPointer++]; 
		} 

		public void close() throws IOException 
		{ 
			if (din == null) 
				return; 
			din.close(); 
		} 
	} 
	
	public static long power(long l, long m,long p) 
    { 
		//long p=mod;
        // Initialize result 
        long res = 1;      
         
        // Update x if it is more   
        // than or equal to p 
        l = l % p;  
      
        while (m > 0) 
        { 
            // If y is odd, multiply x 
            // with result 
            if((m & 1)==1) 
                res = (res * l) % p; 
      
            // y must be even now 
            // y = y / 2 
            m = m >> 1;  
            l = (l * l) % p;  
        } 
        return (long)res; 
    } 
	
	public static long mod=(long)(Math.pow(10,9))+7;
	
	public static int gcd(int a, int b) 
    { 
      if (b == 0) 
        return a; 
      return gcd(b, a % b);  
    } 
	
	public static class Node implements Comparable<Node>{
		int val;
		int par;
		Node(int v,int p){
			val=v;
			par=p;
		}
		public int compareTo(Node n) {
			return this.val-n.val;
		}
	}
	

	
	public static void main(String[] args) throws IOException 
	{ 
		Reader scan=new Reader();
		PrintWriter out=new PrintWriter(new OutputStreamWriter(System.out));
		int n=scan.nextInt();
		int[] parity=new int[n];
		int[] a=new int[n];
		Node[] node=new Node[n];
		int total=0;
		for(int i=0;i<n;i++) {
			int x=scan.nextInt();
			a[i]=x;
			String s=Integer.toBinaryString(x);
			int count=0;
			for(int j=0;j<s.length();j++) {
				if(s.charAt(j)=='1') {
					count++;
				}
			}
			parity[i]=x%2;
			node[i]=new Node(x,x%2);
			total+=x;
		}
		int first=0;
		boolean[] done=new boolean[n];
		Arrays.sort(node);
		int curr=total;
		while(true) {
			int yes=0;
			for(int i=n-1;i>=0;i--) {
				if(node[i].par==first && done[i]==false) {
					yes=1;
					curr-=node[i].val;
					first=(first+1)%2;
					done[i]=true;
					break;
				}
			}
			if(yes==0) {
				break;
			}
		}
		int ans=curr;
		curr=total;
		first=1;
		done=new boolean[n];
		while(true) {
			int yes=0;
			for(int i=n-1;i>=0;i--) {
				if(node[i].par==first && done[i]==false) {
					yes=1;
					curr-=node[i].val;
					first=(first+1)%2;
					done[i]=true;
					break;
				}
			}
			if(yes==0) {
				break;
			}
		}
		out.print(Math.min(curr, ans));
		out.close();
	} 
} 