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Copy pathFastIOTemplate.java
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executable file
·266 lines (245 loc) · 11.2 KB
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import java.io.*;
import java.lang.*;
import java.util.*;
import java.math.*;
class RedPoints
{
int x;
int y;
}
class RedBlueAngularSweep
{
static FastReader in;
public static void main(String[] args)
{
in = new FastReader();
int testcases;
testcases = nextInt();
for(int i = 0; i < testcases; i++)
{
int redPoints;
int bluePoints;
redPoints = nextInt();
bluePoints = nextInt();
RedPoints[] redPointsCoordinates = new RedPoints[redPoints];
BluePoints[] bluePointsCoordinates = new BluePoints[bluePoints];
for(int j = 0; j < redPoints; j++)
{
redPointsCoordinates[j].x = nextInt();
redPointsCoordinates[j].y = nextInt();
}
for(int j = 0; j < bluePoints; j++)
{
bluepointsCoordinates[j].x = nextInt();
bluepointsCoordinates[j].j = nextInt();
}
ArrayList<Double> quadrant1Blue = new ArrayList<Double>();
ArrayList<Double> quadrant2Blue = new ArrayList<Double>();
ArrayList<Double> quadrant3Blue = new ArrayList<Double>();
ArrayList<Double> quadrant4Blue = new ArrayList<Double>();
ArrayList<Double> quadrant1Red = new ArrayList<Double>();
ArrayList<Double> quadrant2Red = new ArrayList<Double>();
ArrayList<Double> quadrant3Red = new ArrayList<Double>();
ArrayList<Double> quadrant4Red = new ArrayList<Double>();
ArrayList<Double> quadrant1 = new ArrayList<Double>();
ArrayList<Double> quadrant2 = new ArrayList<Double>();
ArrayList<Double> quadrant3 = new ArrayList<Double>();
ArrayList<Double> quadrant4 = new ArrayList<Double>();
int minimumSolution = 0;
double[][][] blueRedAngles = new double[bluePoints][redPoints][2];
for(int j = 0; j < bluePoints; j++)
{
//For everyline formed by red and blue point check how many redpoints and bluePonts are in the given region (either above or below)
//and find the min of (red + blue points above) and (red + blue points below) and print the desired answer.
//Binary search should be used to answer the queries.
for(int k = 0; k < redPoints; k++)
{
double angle = Math.atan2((redPointsCoordinates[k].y - bluePointsCoordinates[j].y), (redPointsCoordinates[k].x - bluePointsCoordinates[j].x)) * 180 / Math.PI;
double interceptAngleQuadrant1 = angle + 180 % 360;
double interceptAngleQuadrant2 = interceptQuadrant1 + 180 % 360;
blueRedAngles[j][k][0] = interceptAngleQuadrant1;
blueRedAngles[j][k][1] = interceptAngleQuadrant2;
if(interceptAngleQuadrant1 > 0 && interceptAngleQuadrant1 <= 90)
{
//Quadrant 1 and the other end is in quadrant 3.
quadrant1Red.add(interceptAngleQuadrant1);
quadrant3Red.add(interceptAngleQuadrant2);
quadrant1.add(interceptAngleQuadrant1);
quadrant3.add(interceptAngleQuadrant2);
}
else if(interceptAngleQuadrant1 > 90 && interceptAngleQuadrant2 <= 180)
{
//Quadrant 2 and the other end is in quadrant 4.
quadrant2Red.add(interceptAngleQuadrant1);
quadrant4Red.add(interceptAngleQuadrant2);
quadrant2.add(interceptAngleQuadrant1);
quadrant4.add(interceptAngleQuadrant2);
}
else if(interceptAngleQuadrant1 > 180 && interceptAngleQuadrant2 <= 270)
{
//Quadrant 3 and the other end is in quadrant 1.
quadrant3Red.add(interceptAngleQuadrant1);
quadrant1Red.add(interceptAngleQuadrant2);
quadrant3.add(interceptAngleQuadrant1);
quadrant1.add(interceptAngleQuadrant2);
}
else
{
//Quadrant 4 and the other end is in quadrant 2.
quadrant4Red.add(interceptAngleQuadrant1);
quadrant2Red.add(interceptAngleQuadrant2);
quadrant4.add(interceptAngleQuadrant1);
quadrant2.add(interceptAngleQuadrant2);
}
}
Collections.sort(quadrant1Red);
Collections.sort(quadrant2Red);
Collections.sort(quadrant3Red);
Collections.sort(quadrant4Red);
int redQuad1Count = quadrant1Red.size();
int redQuad2Count = quadrant2Red.size();
int redQuad3Count = quadrant3Red.size();
int redQuad4Count = quadrant4Red.size();
for(int k = 0; k < bluePoints; k++)
{
if(k != j)
{
double angle = Math.atan2((bluePointsCoordinates[k].y - bluePointsCoordinates[j].y), (bluePointsCoordinates[k].x - bluePointsCoordinates[j].x)) * 180 / Math.PI;
double interceptAngleQuadrant1 = angle + 180 % 360;
double interceptAngleQuadrant2 = interceptQuadrant1 + 180 % 360;
if(interceptAngleQuadrant1 > 0 && interceptAngleQuadrant1 <= 90)
{
//Quadrant 1 and the other end is in quadrant 3.
quadrant1Blue.add(interceptAngleQuadrant1);
quadrant3Blue.add(interceptAngleQuadrant2);
quadrant1.add(interceptAngleQuadrant1);
quadrant3.add(interceptAngleQuadrant2);
}
else if(interceptAngleQuadrant1 > 90 && interceptAngleQuadrant2 <= 180)
{
//Quadrant 2 and the other end is in quadrant 4.
quadrant2Blue.add(interceptAngleQuadrant1);
quadrant4Blue.add(interceptAngleQuadrant2);
quadrant2.add(interceptAngleQuadrant1);
quadrant4.add(interceptAngleQuadrant2);
}
else if(interceptAngleQuadrant1 > 180 && interceptAngleQuadrant2 <= 270)
{
//Quadrant 3 and the other end is in quadrant 1.
quadrant3Blue.add(interceptAngleQuadrant1);
quadrant1Blue.add(interceptAngleQuadrant2);
quadrant3.add(interceptAngleQuadrant1);
quadrant1.add(interceptAngleQuadrant2);
}
else
{
//Quadrant 4 and the other end is in quadrant 2.
quadrant4Blue.add(interceptAngleQuadrant1);
quadrant2Blue.add(interceptAngleQuadrant2);
quadrant4.add(interceptAngleQuadrant1);
quadrant2.add(interceptAngleQuadrant2);
}
}
}
Collections.sort(quadrant1Blue);
Collections.sort(quadrant2Blue);
Collections.sort(quadrant3Blue);
Collections.sort(quadrant4Blue);
int blueQuad1Count = quadrant1Blue.size();
int blueQuad2Count = quadrant2Blue.size();
int blueQuad3Count = quadrant3Blue.size();
int blueQuad4Count = quadrant4Blue.size();
Collections.sort(quadrant1);
Collections.sort(quadrant2);
Collections.sort(quadrant3);
Collections.sort(quadrant4);
int blueQuad1Count = quadrant1.size();
int blueQuad2Count = quadrant2.size();
int blueQuad3Count = quadrant3.size();
int blueQuad4Count = quadrant4.size();
for(int j = 0; j < bluePoints; j++)
{
for(int k = 0; k < redPoints; k++)
{
double lineAngle = blueRedAngles[j][k][1];
if(lineAngle > 0 && lineAngle <= 90)
{
int indexQuad1Red = Collections.binarySearch(quadrant1Red, lineAngle);
int indexQuad3Red = Collections.binarySearch(quadrant3Red, lineAngle);
int indexQuad1 = Collections.binarySearch(quadrant1, lineAngle);
int indexQuad3 = Collections.binarySearch(quadrant3, lineAngle);
int blueQuad1 = indexQuad1 - indexQuad1Red;
int blurQuad3 = indexQuad3 - indexQuad3Red;
int remainingRedQuad1 = redQuad1Count - indexQuad1Red;
int remainingRedQuad3 = redQuad3Count - indexQuad3Red;
int remainingBlueQuad1 = blueQuad1Count - blueQuad1;
int remainingBlueQuad3 = blueQuad3Count - blueQuad3;
}
else if(lineAngle > 90 && lineAngle <= 180)
{
}
else if(lineAngle > 180 && lineAngle <= 270)
{
}
else
{
}
}
}
}
}
}
static String next()
{
return in.next();
}
static String nextLine()
{
return in.nextLine();
}
static int nextInt(){
return Integer.parseInt(in.next());
}
static int[] ia(int N){
int[] a = new int[N];
for(int i = 0; i < N; i++)a[i] = nextInt();
return a;
}
static long[] la(int N){
long[] a = new long[N];
for(int i = 0; i < N; i++)a[i] = nextLong();
return a;
}
static long nextLong(){
return Long.parseLong(in.next());
}
static double nextDouble(){
return Double.parseDouble(in.next());
}
static class FastReader{
BufferedReader br;
StringTokenizer st;
public FastReader(){
br = new BufferedReader(new InputStreamReader(System.in));
}
String next(){
while (st == null || !st.hasMoreElements()){
try{
st = new StringTokenizer(br.readLine());
}catch (IOException e){
e.printStackTrace();
}
}
return st.nextToken();
}
String nextLine(){
String str = "";
try{
str = br.readLine();
}catch (IOException e){
e.printStackTrace();
}
return str;
}
}
}