Submission #70492

# Submission time Handle Problem Language Result Execution time Memory
70492 2018-08-23T04:42:50 Z spencercompton The Forest of Fangorn (CEOI14_fangorn) Java 11
50 / 100
3000 ms 64696 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 = 24;
	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 190 ms 11568 KB Output is correct
2 Correct 149 ms 11596 KB Output is correct
3 Correct 186 ms 11596 KB Output is correct
4 Correct 206 ms 12056 KB Output is correct
5 Correct 176 ms 12056 KB Output is correct
6 Correct 174 ms 12128 KB Output is correct
7 Correct 271 ms 18940 KB Output is correct
8 Correct 291 ms 18940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 250 ms 18940 KB Output is correct
2 Correct 219 ms 18940 KB Output is correct
3 Correct 268 ms 18940 KB Output is correct
4 Correct 287 ms 18940 KB Output is correct
5 Correct 265 ms 18940 KB Output is correct
6 Correct 392 ms 20216 KB Output is correct
7 Correct 173 ms 20216 KB Output is correct
8 Correct 179 ms 20216 KB Output is correct
9 Correct 264 ms 20216 KB Output is correct
10 Correct 693 ms 24924 KB Output is correct
11 Correct 710 ms 24924 KB Output is correct
12 Correct 676 ms 26028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 194 ms 26028 KB Output is correct
2 Correct 208 ms 26028 KB Output is correct
3 Correct 203 ms 26028 KB Output is correct
4 Execution timed out 3105 ms 64284 KB Time limit exceeded
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 3092 ms 64696 KB Time limit exceeded
2 Halted 0 ms 0 KB -