You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0). 

You have to calculate two following values:

  1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative; 
  2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive; 

Input

The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.

The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.

Output

Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.

Examples

Input


5
5 -3 3 -1 1


Output


8 7


Input


10
4 2 -4 3 1 2 -4 3 2 3


Output


28 27


Input


5
-1 -2 -3 -4 -5


Output


9 6
import java.io.ByteArrayInputStream;
			import java.io.IOException;
			import java.io.InputStream;
			import java.io.PrintWriter;
			import java.util.*;
			import java.io.*;
			public class Main {
			InputStream is;
				PrintWriter out;
				String INPUT = ""; 
			//classin Declaration
			

			static class pair implements Comparable<pair>{
				int x,y,z;
				
				pair (int i,int j,int k)
				{ x=i; y=j; z=k;
					
				}
				public int compareTo(pair p){
					if(this.x!=p.x) { return this.x-p.x;}
					else { return this.y-p.y;}
				}
				public int hashCode() { return (x+" "+y).hashCode();}
				public String toString(){ return x+" "+y+" "+z;} 
				public boolean equals(Object o){ 
					pair x = (pair) o ;
					return (x.x==this.x&&x.y==this.y);}
			}
		
void solve() throws Exception{

	int n=ni();
	int oddNeg = 0,EvenNeg= 0;
	long posAns= 0;
	long [] arr =  new long[n+1];
	int parity= 0;
	int prevparity=0;
	for(int i=0;i<n;++i){
		arr[i]=nl();

		//pn(arr[i]+" "+prevparity+" "+parity);
		//pn("even/odd "+EvenNeg+" "+oddNeg);
		//pn("");
		prevparity= parity;
		if(arr[i]<0) {
			
			parity= (parity+1)%2;
		}
		else{
			posAns+=1;
		}

		if(parity==1){
			posAns+=oddNeg;
		}
		else{
			posAns+=EvenNeg;
		}
		if(prevparity==1){
			oddNeg+=1;
		}
		else{
			EvenNeg+=1;
		}

	}
	long total = (long)n*((long)n+1L)/2L;
	pn((total-posAns)+" "+posAns);



}

	void run() throws Exception
			{
					is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
					out = new PrintWriter(System.out);
					
					long s = System.currentTimeMillis();
					solve();
					out.flush();
					if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
			}
				
				
		public static void main(String[] args) throws Exception { new Main().run(); }
				
			//output methods
			private void pn(Object o)
			{
				out.println(o);
			}
			private void p(Object o)
			{
				out.print(o);
			}
 
 
 
			//input methods
					private byte[] inbuf = new byte[1024];
				public int lenbuf = 0, ptrbuf = 0;
				
 
				private 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 boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
				private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
				
				private double nd() { return Double.parseDouble(ns()); }
				private char nc() { return (char)skip(); }
				
				private String ns()
				{
					int b = skip();
					StringBuilder sb = new StringBuilder();
					while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
						sb.appendCodePoint(b);
						b = readByte();
					}
					return sb.toString();
				}
				
				private char[] ns(int n)
				{
					char[] buf = new char[n];
					int b = skip(), p = 0;
					while(p < n && !(isSpaceChar(b))){
						buf[p++] = (char)b;
						b = readByte();
					}
					return n == p ? buf : Arrays.copyOf(buf, p);
				}
					
				private char[][] nm(int n, int m)
				{
					char[][] map = new char[n][];
					for(int i = 0;i < n;i++)map[i] = ns(m);
					return map;
				}
				
				private int[] na(int n)
				{
					int[] a = new int[n];
					for(int i = 0;i < n;i++)a[i] = ni();
					return a;
				}
				
				private int ni()
				{
					int num = 0, 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 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 void tr(Object... o) { if(INPUT.length() > 0)System.out.println(Arrays.deepToString(o)); }
			}