You are given n points on Cartesian plane. Every point is a lattice point (i. e. both of its coordinates are integers), and all points are distinct.

You may draw two straight lines (not necessarily distinct). Is it possible to do this in such a way that every point lies on at least one of these lines?

Input

The first line contains one integer n (1 ≤ n ≤ 105) — the number of points you are given.

Then n lines follow, each line containing two integers xi and yi (|xi|, |yi| ≤ 109)— coordinates of i-th point. All n points are distinct.

Output

If it is possible to draw two straight lines in such a way that each of given points belongs to at least one of these lines, print YES. Otherwise, print NO.

Examples

Input

5
0 0
0 1
1 1
1 -1
2 2


Output

YES


Input

5
0 0
1 0
2 1
1 1
2 3


Output

NO

Note

In the first example it is possible to draw two lines, the one containing the points 1, 3 and 5, and another one containing two remaining points.

<image>
import java.io.*;
import java.util.*;

import static java.lang.Math.floor;
import static java.lang.Math.log;
import static java.lang.Math.sqrt;


import java.util.List;

public class Main {

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

        new Main().go();
    }

    PrintWriter out;
    InputReader in;
    BufferedReader br;

    Main() throws IOException {

        try {

            //br = new BufferedReader( new FileReader("input.txt") );
            //in = new Reader("input.txt");
            in = new InputReader("input.txt");
            out = new PrintWriter( new BufferedWriter(new FileWriter("output.txt")) );
        }
        catch (Exception e) {

            //br = new BufferedReader( new InputStreamReader( System.in ) );
            in = new InputReader();
            out = new PrintWriter( new BufferedWriter(new OutputStreamWriter(System.out)) );
        }
    }

    void go() throws Exception {

        int t = 1;
        while (t > 0) {
            solve();
            //out.println();
            t--;
        }

        out.flush();
        out.close();
    }


    int inf = 2000000000;
    int mod = 1000000007;
    double eps = 0.000000001;

    int n;
    int m;

    void solve() throws IOException {

        int n = in.nextInt();

        if (n < 5) {
            out.println("YES");
            return;
        }

        Pair[] points = new Pair[n];
        for (int i = 0; i < n; i++) {
            int x = in.nextInt();
            int y = in.nextInt();
            points[i] = new Pair(x, y);
        }

        Pair p1 = points[0];
        Pair p2 = points[1];

        int ind = -1;

        for (int i = 2; i < n; i++) {
            if (!onLine(p1, p2, points[i])) {
                ind = i;
                break;
            }
        }

        if (ind == -1) {
            out.println("YES");
            return;
        }

        if (check(points, 0, 1) || check(points, 0, ind) || check(points, 1, ind))
            out.print("YES");
        else
            out.print("NO");
    }


    boolean onLine(Pair p1, Pair p2, Pair p3) {
        return 1l*(p2.a - p1.a)*(p3.b - p1.b) - 1l*(p2.b - p1.b)*(p3.a - p1.a) == 0;
    }

    boolean check(Pair[] points, int p1, int p2) {
        int p3 = -1;
        int p4 = -1;
        boolean[] used = new boolean[points.length];
        for (int i = 0; i < points.length; i++)
            if (onLine(points[p1], points[p2], points[i]))
                used[i] = true;
            else
            if (p3 == -1) p3 = i;
            else p4 = i;

        if (p4 == -1) return true;

        for (int i = 0; i < points.length; i++)
            if (onLine(points[p3], points[p4], points[i]))
                used[i] = true;

        for (int i = 0; i < points.length; i++)
            if (!used[i]) return false;

        return true;
    }

    class Pair implements Comparable<Pair>{

        int a;
        int b;

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

        public int compareTo(Pair p) {

            if (a > p.a) return 1;
            if (a < p.a) return -1;
            if (b > p.b) return -1;
            if (b < p.b) return 1;
            return 0;
        }
    }

    class Item {

        int a;
        int b;
        int c;

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

    }

    class Reader {

        BufferedReader  br;
        StringTokenizer tok;

        Reader(String file) throws IOException {
            br = new BufferedReader( new FileReader(file) );
        }

        Reader() throws IOException {
            br = new BufferedReader( new InputStreamReader(System.in) );
        }

        String next() throws IOException {

            while (tok == null || !tok.hasMoreElements())
                tok = new StringTokenizer(br.readLine());
            return tok.nextToken();
        }

        int nextInt() throws NumberFormatException, IOException {
            return Integer.valueOf(next());
        }

        long nextLong() throws NumberFormatException, IOException {
            return Long.valueOf(next());
        }

        double nextDouble() throws NumberFormatException, IOException {
            return Double.valueOf(next());
        }


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

    }

    class Parser {
        final private int BUFFER_SIZE = 1 << 18;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Parser(InputStream in) {
            din = new DataInputStream(in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead =  0;
        }
        public String nextString(int maxSize) {
            byte[] ch = new byte[maxSize];
            int point =  0;
            try {
                byte c = read();
                while (c == ' ' || c == '\n' || c=='\r')
                    c = read();
                while (c != ' ' && c != '\n' && c!='\r') {
                    ch[point++] = c;
                    c = read();
                }
            } catch (Exception e) {}
            return new String(ch, 0,point);
        }
        public int nextInt() {
            int ret =  0;
            boolean neg;
            try {
                byte c = read();
                while (c <= ' ')
                    c = read();
                neg = c == '-';
                if (neg)
                    c = read();
                do {
                    ret = ret * 10 + c - '0';
                    c = read();
                } while (c > ' ');

                if (neg) return -ret;
            } catch (Exception e) {}
            return ret;
        }
        public long nextLong() {
            long ret =  0;
            boolean neg;
            try {
                byte c = read();
                while (c <= ' ')
                    c = read();
                neg = c == '-';
                if (neg)
                    c = read();
                do {
                    ret = ret * 10 + c - '0';
                    c = read();
                } while (c > ' ');

                if (neg) return -ret;
            } catch (Exception e) {}
            return ret;
        }
        private void fillBuffer() {
            try {
                bytesRead = din.read(buffer, bufferPointer =  0, BUFFER_SIZE);
            } catch (Exception e) {}
            if (bytesRead == -1) buffer[0] = -1;
        }

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

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

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

        public InputReader(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();
        }
    }









}