abc33d.java

import java.io.IOException;
import java.io.InputStream;
import java.util.*;
 
public class Main {
 
    private static final double EPS = 1e-10;
 
    public static void main(String args[]) {
        FastScanner sc = new FastScanner();
        int n = sc.nextInt();
        int x[]=new int[n];
        int y[]=new int[n];
        for(int i=0;i<n;i++){
            x[i]=sc.nextInt();
            y[i]=sc.nextInt();
        }
 
        int tyo=0;
        int don=0;
        for(int i=0;i<n;i++){
            double diglist[]=new double[(n-1)*2];
            for(int j=0;j<n;j++){
                if(i==j)continue;
                diglist[j<i?j:j-1]=Math.atan2(y[j]-y[i],
                        x[j]-x[i]);
            }
            for(int j=0;j<n-1;j++){
                diglist[n-1+j]=diglist[j]+Math.PI*2;
            }
            Arrays.sort(diglist);
 
            int pos1=0,pos2=0,pos3=0;
            for(int j=0;j<n-1;j++){
                while(diglist[pos1]-diglist[j]+EPS
                        < (Math.PI/2)) pos1++;
 
                while(diglist[pos2]-diglist[j]-EPS
                        < (Math.PI/2)) pos2++;
 
                while(diglist[pos3]-diglist[j]+EPS
                        < Math.PI) pos3++;
                tyo+= pos2-pos1;
                don+= pos3-pos2;
            }
        }
        long ei= (long)n*(n-1)*(n-2)/6 -tyo-don;
        System.out.println(ei+" " + tyo+" " +don);
    }
}
 
class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
 
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        } else {
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
 
    private int readByte() {
        if (hasNextByte()) return buffer[ptr++];
        else return -1;
    }
 
    private boolean isPrintableChar(int c) {
        return 33 <= c && c <= 126;
    }
 
    private void skipUnprintable() {
        while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
    }
 
    public boolean hasNext() {
        skipUnprintable();
        return hasNextByte();
    }
 
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
 
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while (true) {
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            } else if (b == -1 || !isPrintableChar(b)) {
                return minus ? -n : n;
            } else {
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
 
    public int nextInt() {
        if (!hasNext()) throw new NoSuchElementException();
        int n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while (true) {
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            } else if (b == -1 || !isPrintableChar(b)) {
                return minus ? -n : n;
            } else {
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
}