Problem: We call a string good, if after merging all the consecutive equal characters, the resulting string is palindrome. For example, "aabba" is good, because after the merging step it will become "aba".

Given a string, you have to find two values:

  1. the number of good substrings of even length; 
  2. the number of good substrings of odd length. 

Input

The first line of the input contains a single string of length n (1 ≤ n ≤ 105). Each character of the string will be either 'a' or 'b'.

Output

Print two space-separated integers: the number of good substrings of even length and the number of good substrings of odd length.

Examples

Input

bb


Output

1 2


Input

baab


Output

2 4


Input

babb


Output

2 5


Input

babaa


Output

2 7

Note

In example 1, there are three good substrings ("b", "b", and "bb"). One of them has even length and two of them have odd length.

In example 2, there are six good substrings (i.e. "b", "a", "a", "b", "aa", "baab"). Two of them have even length and four of them have odd length.

In example 3, there are seven good substrings (i.e. "b", "a", "b", "b", "bb", "bab", "babb"). Two of them have even length and five of them have odd length.

Definitions

A substring s[l, r] (1 ≤ l ≤ r ≤ n) of string s = s1s2... sn is string slsl + 1... sr.

A string s = s1s2... sn is a palindrome if it is equal to string snsn - 1... s1.

Solution (in JAVA):

Solution:
//package round258;
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 D {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		char[] s = ns().toCharArray();
		int n = s.length;
		int[] a = new int[n];
		int p = 0;
		int pre = 0;
		for(int i = 1;i < n;i++){
			if(s[i] != s[i-1]){
				a[p++] = i-pre;
				pre = i;
			}
		}
		a[p++] = n-pre;
		a = Arrays.copyOf(a, p);
		long etot = 0, otot = 0;
		for(int i = 0;i < p;i++){
			for(int k = 1;k <= a[i];k++){
				if(k % 2 == 0){
					etot += a[i]-k+1;
				}else{
					otot += a[i]-k+1;
				}
			}
		}
		
		{
			long esum = 0, osum = 0;
			int num = 0;
			for(int i = 0;i < p;i++){
				if(i % 2 == 0){
					if(num % 2 == 0){
						osum += (a[i]+1)/2;
						esum += a[i]/2;
					}else{
						esum += (a[i]+1)/2;
						osum += a[i]/2;
					}
				}
				num += a[i];
			}
			num = 0;
			for(int i = 0;i < p;i++){
				if(i % 2 == 0){
					if(num % 2 == 0){
						osum -= (a[i]+1)/2;
						esum -= a[i]/2;
					}else{
						esum -= (a[i]+1)/2;
						osum -= a[i]/2;
					}
				}
				num += a[i];
				if(i % 2 == 0){
					if(num % 2 == 0){
						etot += (long)(a[i]+1)/2*osum+(long)a[i]/2*esum;
						otot += (long)(a[i]+1)/2*esum+(long)a[i]/2*osum;
					}else{
						otot += (long)(a[i]+1)/2*osum+(long)a[i]/2*esum;
						etot += (long)(a[i]+1)/2*esum+(long)a[i]/2*osum;
					}
				}
			}
		}
		{
			long esum = 0, osum = 0;
			int num = 0;
			for(int i = 0;i < p;i++){
				if(i % 2 == 1){
					if(num % 2 == 0){
						osum += (a[i]+1)/2;
						esum += a[i]/2;
					}else{
						esum += (a[i]+1)/2;
						osum += a[i]/2;
					}
				}
				num += a[i];
			}
			num = 0;
			for(int i = 0;i < p;i++){
				if(i % 2 == 1){
					if(num % 2 == 0){
						osum -= (a[i]+1)/2;
						esum -= a[i]/2;
					}else{
						esum -= (a[i]+1)/2;
						osum -= a[i]/2;
					}
				}
				num += a[i];
				if(i % 2 == 1){
					if(num % 2 == 0){
						etot += (long)(a[i]+1)/2*osum+(long)a[i]/2*esum;
						otot += (long)(a[i]+1)/2*esum+(long)a[i]/2*osum;
					}else{
						otot += (long)(a[i]+1)/2*osum+(long)a[i]/2*esum;
						etot += (long)(a[i]+1)/2*esum+(long)a[i]/2*osum;
					}
				}
			}
		}
		out.println(etot + " " + otot);
	}
	
	void run() throws Exception
	{
		is = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		tr(System.currentTimeMillis()-s+"ms");
	}
	
	public static void main(String[] args) throws Exception { new D().run(); }
	
	private byte[] inbuf = new byte[1024];
	private 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 boolean oj = System.getProperty("ONLINE_JUDGE") != null;
	private void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }
}