Problem: After the fourth season Sherlock and Moriary have realized the whole foolishness of the battle between them and decided to continue their competitions in peaceful game of Credit Cards.

Rules of this game are simple: each player bring his favourite n-digit credit card. Then both players name the digits written on their cards one by one. If two digits are not equal, then the player, whose digit is smaller gets a flick (knock in the forehead usually made with a forefinger) from the other player. For example, if n = 3, Sherlock's card is 123 and Moriarty's card has number 321, first Sherlock names 1 and Moriarty names 3 so Sherlock gets a flick. Then they both digit 2 so no one gets a flick. Finally, Sherlock names 3, while Moriarty names 1 and gets a flick.

Of course, Sherlock will play honestly naming digits one by one in the order they are given, while Moriary, as a true villain, plans to cheat. He is going to name his digits in some other order (however, he is not going to change the overall number of occurences of each digit). For example, in case above Moriarty could name 1, 2, 3 and get no flicks at all, or he can name 2, 3 and 1 to give Sherlock two flicks.

Your goal is to find out the minimum possible number of flicks Moriarty will get (no one likes flicks) and the maximum possible number of flicks Sherlock can get from Moriarty. Note, that these two goals are different and the optimal result may be obtained by using different strategies.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of digits in the cards Sherlock and Moriarty are going to use.

The second line contains n digits — Sherlock's credit card number.

The third line contains n digits — Moriarty's credit card number.

Output

First print the minimum possible number of flicks Moriarty will get. Then print the maximum possible number of flicks that Sherlock can get from Moriarty.

Examples

Input

3
123
321


Output

0
2


Input

2
88
00


Output

2
0

Note

First sample is elaborated in the problem statement. In the second sample, there is no way Moriarty can avoid getting two flicks.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
import java.lang.*;

public class B {
	static long mod = 1000000007;

	public static void main(String[] args) throws Exception {
		InputReader in = new InputReader(System.in);
		PrintWriter pw = new PrintWriter(System.out);

		//int t=in.readInt();
		//while(t-->0)
		//{

		int n=in.readInt();
		char c[]=in.readString().toCharArray();//Sherlock
		char d[]=in.readString().toCharArray(); //moriarity
		HashMap<Integer,Integer>hm=new HashMap<Integer,Integer>();
		int f[]=new int[10];
		int g[]=new int[10];
		for(int i=0;i<n;i++)
		{
			int x=d[i]-48;
			f[x]++;
			g[x]++;
		}
		int cmin=0;
		for(int i=0;i<n;i++)
		{
			int x=c[i]-48;
			int pos=0;
			int val=0;
			for(int j=x;j<10;j++)
			{
				int y=f[j];
				if(y>0)
				{
					pos=1;
					val=j;
					break;
				}
			}
			if(pos==1)
			{
				f[val]--;
			}
			else
			{
				cmin++;
				int val2=0;
				for(int j=0;j<10;j++)
				{
					int y=f[j];
					if(y>0)
					{
						val2=j;
						break;
					}
				}
				f[val2]--;
			}
		}
		int cmax=0;
		for(int i=0;i<n;i++)
		{
			int x=c[i]-48;
			int pos=0;
			int val=0;
			for(int j=x+1;j<10;j++)
			{
				int y=g[j];
				if(y>0)
				{
					pos=1;
					val=j;
					break;
				}
				
			}
			if(pos==1)
			{
				cmax++;
				g[val]--;
			}
			else
			{
				int val2=0;
				for(int j=0;j<10;j++)
				{
					int y=g[j];
					if(y>0)
					{
						val2=j;
						break;
						
					}
				}
				g[val2]--;
			}
		}
		//long n=in.readLong();
		/*int a[]=new int[n];
		for(int i=0;i<n;i++)
		{
			a[i]=in.readInt();
		}*/
		//String a=in.readString();

		pw.println(cmin);
		pw.println(cmax);

		//}

		pw.close();
	}

	public static long gcd(long x, long y) {
		if (x % y == 0)
			return y;
		else
			return gcd(y, x % y);
	}

	public static int gcd(int x, int y) {
		if (x % y == 0)
			return y;
		else
			return gcd(y, x % y);
	}

	public static int abs(int a, int b) {
		return (int) Math.abs(a - b);
	}

	public static long abs(long a, long b) {
		return (long) Math.abs(a - b);
	}

	public static int max(int a, int b) {
		if (a > b)
			return a;
		else
			return b;
	}

	public static int min(int a, int b) {
		if (a > b)
			return b;
		else
			return a;
	}

	public static long max(long a, long b) {
		if (a > b)
			return a;
		else
			return b;
	}

	public static long min(long a, long b) {
		if (a > b)
			return b;
		else
			return a;
	}

	public static long pow(long n, long p, long m) {
		long result = 1;
		if (p == 0)
			return 1;
		if (p == 1)
			return n;
		while (p != 0) {
			if (p % 2 == 1)
				result *= n;
			if (result >= m)
				result %= m;
			p >>= 1;
			n *= n;
			if (n >= m)
				n %= m;
		}
		return result;
	}

	public static long pow(long n, long p) {
		long result = 1;
		if (p == 0)
			return 1;
		if (p == 1)
			return n;
		while (p != 0) {
			if (p % 2 == 1)
				result *= n;
			p >>= 1;
			n *= n;
		}
		return result;

	}

	static class Pair implements Comparable<Pair> {
		int a, b;

		Pair(int a, int b) {
			this.a = a;
			this.b = b;
		}

		public int compareTo(Pair o) {
			// TODO Auto-generated method stub
			if (this.a != o.a)
				return Integer.compare(this.a, o.a);
			else
				return Integer.compare(this.b, o.b);
			//return 0;
		}

		public boolean equals(Object o) {
			if (o instanceof Pair) {
				Pair p = (Pair) o;
				return p.a == a && p.b == b;
			}
			return false;
		}

		public int hashCode() {
			return new Integer(a).hashCode() * 31 + new Integer(b).hashCode();
		}

		public String toString() {
			return a + " " + b;
		}
	}

	static long sort(int a[]) {
		int n = a.length;
		int b[] = new int[n];
		return mergeSort(a, b, 0, n - 1);
	}

	static long mergeSort(int a[], int b[], long left, long right) {
		long c = 0;
		if (left < right) {
			long mid = left + (right - left) / 2;
			c = mergeSort(a, b, left, mid);
			c += mergeSort(a, b, mid + 1, right);
			c += merge(a, b, left, mid + 1, right);
		}
		return c;
	}

	static long merge(int a[], int b[], long left, long mid, long right) {
		long c = 0;
		int i = (int) left;
		int j = (int) mid;
		int k = (int) left;
		while (i <= (int) mid - 1 && j <= (int) right) {
			if (a[i] <= a[j]) {
				b[k++] = a[i++];
			} else {
				b[k++] = a[j++];
				c += mid - i;
			}
		}
		while (i <= (int) mid - 1)
			b[k++] = a[i++];
		while (j <= (int) right)
			b[k++] = a[j++];
		for (i = (int) left; i <= (int) right; i++)
			a[i] = b[i];
		return c;
	}

	public static int[] radixSort(int[] f) {
		int[] to = new int[f.length];
		{
			int[] b = new int[65537];
			for (int i = 0; i < f.length; i++)
				b[1 + (f[i] & 0xffff)]++;
			for (int i = 1; i <= 65536; i++)
				b[i] += b[i - 1];
			for (int i = 0; i < f.length; i++)
				to[b[f[i] & 0xffff]++] = f[i];
			int[] d = f;
			f = to;
			to = d;
		}
		{
			int[] b = new int[65537];
			for (int i = 0; i < f.length; i++)
				b[1 + (f[i] >>> 16)]++;
			for (int i = 1; i <= 65536; i++)
				b[i] += b[i - 1];
			for (int i = 0; i < f.length; i++)
				to[b[f[i] >>> 16]++] = f[i];
			int[] d = f;
			f = to;
			to = d;
		}
		return f;
	}

	static class InputReader {
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		private SpaceCharFilter filter;

		public InputReader(InputStream stream) {
			this.stream = stream;
		}

		public int read() {
			if (numChars == -1)
				throw new InputMismatchException();
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = stream.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}

		public int readInt() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public String readString() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		public String readLine() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isEndOfLine(c));
			return res.toString();
		}

		public double readDouble() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			double res = 0;
			while (!isSpaceChar(c) && c != '.') {
				if (c == 'e' || c == 'E')
					return res * Math.pow(10, readInt());
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			}
			if (c == '.') {
				c = read();
				double m = 1;
				while (!isSpaceChar(c)) {
					if (c == 'e' || c == 'E')
						return res * Math.pow(10, readInt());
					if (c < '0' || c > '9')
						throw new InputMismatchException();
					m /= 10;
					res += (c - '0') * m;
					c = read();
				}
			}
			return res * sgn;
		}

		public long readLong() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public boolean isSpaceChar(int c) {
			if (filter != null)
				return filter.isSpaceChar(c);
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		public String next() {
			return readString();
		}

		public interface SpaceCharFilter {
			public boolean isSpaceChar(int ch);
		}

		public boolean isEndOfLine(int c) {
			return c == '\n' || c == '\r' || c == -1;
		}
	}

	//BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
	//StringBuilder sb=new StringBuilder("");
	//InputReader in = new InputReader(System.in);
	//PrintWriter pw=new PrintWriter(System.out);
	//String line=br.readLine().trim();

	//int t=Integer.parseInt(br.readLine());
	//	while(t-->0)
	//{
	//int n=Integer.parseInt(br.readLine());
	//long n=Long.parseLong(br.readLine());
	//String l[]=br.readLine().split(" ");
	//int m=Integer.parseInt(l[0]);
	//int k=Integer.parseInt(l[1]);
	//String l[]=br.readLine().split(" ");
	//l=br.readLine().split(" ");
	/*int a[]=new int[n];
	for(int i=0;i<n;i++)
	{
		a[i]=Integer.parseInt(l[i]);
	}*/
	//System.out.println(" ");	     	

	//}

}