Submission #70491

# Submission time Handle Problem Language Result Execution time Memory
70491 2018-08-23T04:41:58 Z spencercompton The Forest of Fangorn (CEOI14_fangorn) Java 11
50 / 100
3000 ms 63828 KB
import java.awt.geom.Line2D;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Scanner;
 
public class fangorn {
	public static double eps = 1e-9;
	public static int its = 30;
	public static class Obj implements Comparable<Obj>{
		public double dx, dy;
		public boolean g;
		Obj(double a, double b, boolean c){
			dx = a;
			dy = b;
			g = c;
		}
		public int compareTo(Obj o) {
			return Double.compare(Math.atan2(dy, dx), Math.atan2(o.dy, o.dx));
		}
	}
	public static int h, w;
	public static boolean sect(double sx1, double sy1, double ex1, double ey1, double sx2,
			double sy2, double ex2, double ey2) {
		if(Line2D.linesIntersect(sx1, sy1, ex1, ey1, sx2, sy2, ex2, ey2)) {
			return true;
		}
		if(Line2D.ptSegDist(sx1, sy1, ex1, ey1, ex2, ey2) < eps) {
			return true;
		}
		if(Line2D.ptSegDist(sx2, sy2, ex2, ey2, ex1, ey1) < eps) {
			return true;
		}
		if(Math.abs(sx1-sx2)<eps && Math.abs(sy1-sy2)<eps) {
			return true;
		}
		return Math.abs(ex1-ex2)<eps && Math.abs(ey1-ey2)<eps;
	}
	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
		w = in.nextInt();
		h = in.nextInt();
		int gx = in.nextInt();
		int gy = in.nextInt();
		int c = in.nextInt();
		boolean[] ok = new boolean[c];
		Arrays.fill(ok, true);
		double[][] bases = new double[c][2];
		for(int i = 0; i<c; i++) {
			for(int j = 0; j<2; j++) {
				bases[i][j] = in.nextInt();
			}
		}
		int n = in.nextInt();
		double[][] trees = new double[n][2];
		for(int i = 0; i<n; i++) {
			for(int j = 0; j<2; j++) {
				trees[i][j] = in.nextInt();
			}
		}
		ArrayList<Double> sy = new ArrayList<Double>();
		ArrayList<Double> sx = new ArrayList<Double>();
		ArrayList<Double> ey = new ArrayList<Double>();
		ArrayList<Double> ex = new ArrayList<Double>();
		for(int i = 0; i<n; i++) {
			ArrayList<Obj> li = new ArrayList<Obj>();
			for(int j = 0; j<n; j++) {
				if(i==j) {
					continue;
				}
				li.add(new Obj(trees[i][0]-trees[j][0],trees[i][1]-trees[j][1],false));
			}
			li.add(new Obj(gx-trees[i][0],gy-trees[i][1],true));
			Collections.sort(li);
			for(int j = 0; j<li.size(); j++) {
				if(!li.get(j).g) {
					continue;
				}
				int ind = (j+li.size()-1)%li.size();
				double dx = li.get(ind).dx;
				double dy = li.get(ind).dy;
				double len = Math.sqrt(dx*dx + dy*dy);
				dx /= len;
				dy /= len;
				double lo = 0.0;
				double hi = 1.0;
				while(true) {
					double nx = trees[i][0] + dx*hi;
					double ny = trees[i][1] + dy*hi;
					if(nx>=0 && nx<=w && ny>=0 && ny<=h) {
						hi *= 2.0;
					}
					else {
						break;
					}
				}
				int cnt = 0;
				while(hi>lo && cnt<its) {
					cnt++;
					double mid = (lo+hi)/2.0;
					double nx = trees[i][0] + dx*mid;
					double ny = trees[i][1] + dy*mid;
					if(nx>=0 && nx<=w && nx>=0 && ny<=h) {
						lo = mid;
					}
					else{
						hi = mid;
					}
				}
				sx.add(trees[i][0]);
				sy.add(trees[i][1]);
				ex.add(trees[i][0] + dx*lo);
				ey.add(trees[i][1] + dy*lo);
				
				
				ind = (j+1)%li.size();
				dx = li.get(ind).dx;
				dy = li.get(ind).dy;
				len = Math.sqrt(dx*dx + dy*dy);
				dx /= len;
				dy /= len;
				lo = 0.0;
				hi = 1.0;
				while(true) {
					double nx = trees[i][0] + dx*hi;
					double ny = trees[i][1] + dy*hi;
					if(nx>=0 && nx<=w && ny>=0 && ny<=h) {
						hi *= 2.0;
					}
					else {
						break;
					}
				}
				cnt = 0;
				while(hi>lo && cnt<its) {
					double mid = (lo+hi)/2.0;
					cnt++;
					double nx = trees[i][0] + dx*mid;
					double ny = trees[i][1] + dy*mid;
					if(nx>=0 && nx<=w && nx>=0 && ny<=h) {
						lo = mid;
					}
					else{
						hi = mid;
					}
				}
				sx.add(trees[i][0]);
				sy.add(trees[i][1]);
				ex.add(trees[i][0] + dx*lo);
				ey.add(trees[i][1] + dy*lo);
			}
		}
		for(int i = 0; i<sx.size(); i++) {
			for(int j = i+1; j<sx.size(); j++) {
				if(!sect(sx.get(i),sy.get(i),ex.get(i),ey.get(i),sx.get(j),sy.get(j),ex.get(j),ey.get(j))) {
					continue;
				}
				double lo = 0.0;
				double hi = 1.0;
				double dx = ex.get(j)-sx.get(j);
				double dy = ey.get(j)-sy.get(j);
				int cnt = 0;
				while(hi>lo && cnt<its) {
					cnt++;
					double mid = (lo+hi)/2.0;
					if(sect(sx.get(i),sy.get(i),ex.get(i),ey.get(i),sx.get(j),sy.get(j),sx.get(j)+dx*mid,sy.get(j)+dy*mid)) {
						hi = mid;
					}
					else {
						lo = mid;
					}
				}
				double px = sx.get(j)+dx*lo;
				double py = sy.get(j)+dy*lo;
				double a1 = Math.atan2(ey.get(i)-py, ex.get(i)-px);
				double a2 = Math.atan2(ey.get(j)-py, ex.get(j)-px);
				if(a1>a2) {
					double tmp = a1;
					a1 = a2;
					a2 = tmp;
				}
				double ag = Math.atan2(gy-py, gx-px);
				for(int k = 0; k<c; k++) {
					double acur = Math.atan2(bases[k][1]-py, bases[k][0]-px);
					if((acur>=a1 && acur<=a2) != (ag>=a1 && ag<=a2)) {
						ok[k] = false;
					}
				}
			}
		}
		ArrayList<Integer> ans = new ArrayList<Integer>();
		for(int i = 0; i<c; i++) {
			if(ok[i]) {
				ans.add(i+1);
			}
		}
		System.out.println(ans.size());
		if(ans.size()>0) {
			System.out.print(ans.get(0));
			for(int i = 1; i<ans.size(); i++) {
				System.out.print(" " +ans.get(i));
			}
			System.out.println();
		}
	}
}
# Verdict Execution time Memory Grader output
1 Correct 155 ms 11756 KB Output is correct
2 Correct 164 ms 11764 KB Output is correct
3 Correct 165 ms 11840 KB Output is correct
4 Correct 159 ms 12072 KB Output is correct
5 Correct 164 ms 12076 KB Output is correct
6 Correct 158 ms 12076 KB Output is correct
7 Correct 340 ms 18792 KB Output is correct
8 Correct 326 ms 18892 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 221 ms 18892 KB Output is correct
2 Correct 263 ms 18892 KB Output is correct
3 Correct 297 ms 18892 KB Output is correct
4 Correct 315 ms 18892 KB Output is correct
5 Correct 330 ms 18892 KB Output is correct
6 Correct 445 ms 20264 KB Output is correct
7 Correct 190 ms 20264 KB Output is correct
8 Correct 223 ms 20264 KB Output is correct
9 Correct 272 ms 20264 KB Output is correct
10 Correct 893 ms 25900 KB Output is correct
11 Correct 862 ms 27532 KB Output is correct
12 Correct 831 ms 27988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 195 ms 27988 KB Output is correct
2 Correct 234 ms 27988 KB Output is correct
3 Correct 233 ms 27988 KB Output is correct
4 Execution timed out 3104 ms 59744 KB Time limit exceeded
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 3057 ms 63828 KB Time limit exceeded
2 Halted 0 ms 0 KB -