There are three points marked on the coordinate plane. The goal is to make a simple polyline, without self-intersections and self-touches, such that it passes through all these points. Also, the polyline must consist of only segments parallel to the coordinate axes. You are to find the minimum number of segments this polyline may consist of.

Input

Each of the three lines of the input contains two integers. The i-th line contains integers xi and yi ( - 109 ≤ xi, yi ≤ 109) — the coordinates of the i-th point. It is guaranteed that all points are distinct.

Output

Print a single number — the minimum possible number of segments of the polyline.

Examples

Input

1 -1
1 1
1 2


Output

1


Input

-1 -1
-1 3
4 3


Output

2


Input

1 1
2 3
3 2


Output

3

Note

The variant of the polyline in the first sample: <image> The variant of the polyline in the second sample: <image> The variant of the polyline in the third sample: <image>
import java.io.*;
import java.util.*;
public class Main {
    static int[][] canExit;
    static int[][] vis;

    static class Pair{
        int ind, val;
        Pair(int i, int v){
            ind=i;
            val=v;
        }
    }


    static void solve() throws Exception {
		int coord[][] = new int[3][2];
		for (int i=0;i<3;i++){
			coord[i][0] = sc.nextInt();;
			coord[i][1] = sc.nextInt();;
		}
		int xMatch = 0;
		int yMatch = 0;
		for (int i=0;i<3;i++){
			for (int j=i+1;j<3;j++){
				if (coord[i][0]==coord[j][0])xMatch++;
				if (coord[i][1]==coord[j][1])yMatch++;
			}
		}
		int ans = 3;
		if (xMatch==3 || yMatch==3)ans=1;
		if (xMatch==1 || yMatch==1){
			for (int i=0;i<3;i++){
				for (int j=0;j<3;j++){
					for (int k=0;k<3;k++){
						if (i==j || i==k || k==j)continue;
						if (coord[i][1]==coord[j][1]){
							if ((coord[k][0]<=coord[i][0] || coord[k][0]>=coord[j][0]) && coord[i][0]<coord[j][0]){
								pw.println(2);
								return;
							}
						}
						if (coord[i][0]==coord[j][0]){
							if ((coord[k][1]<=coord[i][1] || coord[k][1]>=coord[j][1]) && coord[i][1]<= coord[j][1]){

								pw.println(2);
								return;
							}
						}
					}
				}
			}
		}
		pw.println(ans);
    }



    static PrintWriter pw;
    static MScanner sc;

    public static void main(String[] args) throws Exception {

        pw = new PrintWriter(System.out);
        sc = new MScanner(System.in);

        //int tests =sc.nextInt();
        int tests = 1;
        while (tests-- > 0){
            solve();
            pw.flush();
        }

    }

    static class MScanner {
        StringTokenizer st;
        BufferedReader br;

        public MScanner(InputStream system) {
            br = new BufferedReader(new InputStreamReader(system));
        }

        public MScanner(String file) throws Exception {
            br = new BufferedReader(new FileReader(file));
        }

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

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

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

        public int[] intSortedArr(int n) throws IOException {
            int[] in = new int[n];
            for (int i = 0; i < n; i++)
                in[i] = nextInt();
            shuffle(in);
            Arrays.sort(in);
            return in;
        }

        public long[] longSortedArr(int n) throws IOException {
            long[] in = new long[n];
            for (int i = 0; i < n; i++)
                in[i] = nextLong();
            shuffle(in);
            Arrays.sort(in);
            return in;
        }

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

        public Long[] LongArr(int n) throws IOException {
            Long[] in = new Long[n];
            for (int i = 0; i < n; i++)
                in[i] = nextLong();
            return in;
        }

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

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

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

        public char nextChar() throws IOException {
            return next().charAt(0);
        }

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

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

        public void waitForInput() throws InterruptedException {
            Thread.sleep(3000);
        }
    }

    static void shuffle(int[] in) {
        for (int i = 0; i < in.length; i++) {
            int idx = (int) (Math.random() * in.length);
            int tmp = in[i];
            in[i] = in[idx];
            in[idx] = tmp;
        }
    }

    static void shuffle(long[] in) {
        for (int i = 0; i < in.length; i++) {
            int idx = (int) (Math.random() * in.length);
            long tmp = in[i];
            in[i] = in[idx];
            in[idx] = tmp;
        }
    }
}
