結果

問題 No.947 ABC包囲網
ユーザー uwiuwi
提出日時 2019-12-10 02:36:34
言語 Java21
(openjdk 21)
結果
AC  
実行時間 81 ms / 2,000 ms
コード長 5,133 bytes
コンパイル時間 3,897 ms
コンパイル使用メモリ 79,068 KB
実行使用メモリ 52,480 KB
最終ジャッジ日時 2023-09-05 17:56:38
合計ジャッジ時間 9,268 ms
ジャッジサーバーID
(参考情報)
judge11 / judge14
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 44 ms
49,744 KB
testcase_01 AC 43 ms
49,496 KB
testcase_02 AC 43 ms
49,476 KB
testcase_03 AC 43 ms
49,676 KB
testcase_04 AC 42 ms
49,564 KB
testcase_05 AC 43 ms
47,600 KB
testcase_06 AC 43 ms
49,680 KB
testcase_07 AC 43 ms
49,528 KB
testcase_08 AC 42 ms
49,636 KB
testcase_09 AC 44 ms
49,508 KB
testcase_10 AC 43 ms
49,532 KB
testcase_11 AC 43 ms
49,544 KB
testcase_12 AC 43 ms
49,584 KB
testcase_13 AC 43 ms
49,536 KB
testcase_14 AC 44 ms
49,464 KB
testcase_15 AC 45 ms
49,628 KB
testcase_16 AC 44 ms
47,492 KB
testcase_17 AC 45 ms
49,572 KB
testcase_18 AC 46 ms
49,672 KB
testcase_19 AC 45 ms
49,572 KB
testcase_20 AC 45 ms
49,816 KB
testcase_21 AC 45 ms
50,148 KB
testcase_22 AC 46 ms
49,636 KB
testcase_23 AC 45 ms
49,748 KB
testcase_24 AC 46 ms
49,816 KB
testcase_25 AC 46 ms
49,564 KB
testcase_26 AC 46 ms
49,600 KB
testcase_27 AC 46 ms
49,608 KB
testcase_28 AC 76 ms
52,004 KB
testcase_29 AC 63 ms
50,996 KB
testcase_30 AC 61 ms
51,592 KB
testcase_31 AC 66 ms
51,468 KB
testcase_32 AC 78 ms
51,544 KB
testcase_33 AC 78 ms
52,480 KB
testcase_34 AC 66 ms
50,576 KB
testcase_35 AC 80 ms
51,384 KB
testcase_36 AC 66 ms
50,624 KB
testcase_37 AC 80 ms
52,140 KB
testcase_38 AC 81 ms
51,868 KB
testcase_39 AC 78 ms
51,652 KB
testcase_40 AC 67 ms
51,204 KB
testcase_41 AC 62 ms
50,588 KB
testcase_42 AC 66 ms
50,644 KB
testcase_43 AC 63 ms
50,712 KB
testcase_44 AC 67 ms
51,696 KB
testcase_45 AC 63 ms
50,760 KB
testcase_46 AC 62 ms
50,808 KB
testcase_47 AC 66 ms
51,428 KB
testcase_48 AC 63 ms
50,936 KB
testcase_49 AC 70 ms
51,828 KB
testcase_50 AC 67 ms
51,692 KB
testcase_51 AC 46 ms
49,536 KB
testcase_52 AC 45 ms
49,648 KB
testcase_53 AC 46 ms
50,048 KB
testcase_54 AC 44 ms
49,504 KB
testcase_55 AC 44 ms
49,988 KB
testcase_56 AC 44 ms
49,628 KB
testcase_57 AC 46 ms
49,556 KB
testcase_58 AC 47 ms
49,904 KB
testcase_59 AC 47 ms
49,736 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

package adv2019;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;

public class D10_4 {
	InputStream is;
	PrintWriter out;
	String INPUT = ""; 
	
	// O(nlog n)
	void solve()
	{
		int n = ni();
		int[][] co = new int[n][];
		for(int i = 0;i < n;i++) {
			co[i] = na(2);
		}
		
		{
			int p = 0;
			for(int i = 0;i < n;i++) {
				if(co[i][0] == 0 && co[i][1] == 0)continue;
				co[p++] = co[i];
			}
			co = Arrays.copyOf(co, p);
			n = p;
		}
		
		Arrays.sort(co, compArgi);
		
		long ans = 0;
		
		int[] ks = new int[n];
		int[] ls = new int[n];
		int k = 0, l = 0;
		int[] Z = {0, 0};
		for(int i = 0;i < n;i++) {
			while(k < n && ccw(Z, co[i], co[k]) != 1)k++;
			while(l < n && (ccw(Z, co[i], co[l]) == -1 || isACB(Z, co[l], co[i])))l++;
			ks[i] = k;
			ls[i] = l;
		}
		
		int p = 0, q = 0;
		long lsum = 0;
		for(int i = 0;i < n;i++) {
			while(p < ls[i]) {
				lsum += ls[p];
				p++;
			}
			while(q < n && ls[q] - ks[i] <= 0) {
				lsum -= ls[q];
				q++;
			}
			ans += lsum - (long)(p-q) * ks[i];
		}
		out.println(ans);
	}
	
	public static boolean isACB(long ax, long ay, long bx, long by, long cx, long cy)
	{
		return (cx-ax)*(by-ay)-(cy-ay)*(bx-ax)==0 && (cx-ax)*(cx-bx)+(cy-ay)*(cy-by) <= 0;
	}
	
	public static boolean isACB(long[] a, long[] b, long[] c) { return isACB(a[0], a[1], b[0], b[1], c[0], c[1]); }
	public static boolean isACB(int[] a, int[] b, int[] c) { return isACB(a[0], a[1], b[0], b[1], c[0], c[1]); }
	
	public static int ccw(long ax, long ay, long bx, long by, long tx, long ty){ return Long.signum((tx-ax)*(by-ay)-(bx-ax)*(ty-ay)); }
	public static int ccw(long[] a, long[] b, long[] t){ return Long.signum((t[0]-a[0])*(b[1]-a[1])-(b[0]-a[0])*(t[1]-a[1])); }
	public static int ccw(int[] a, int[] b, int[] t){ return Long.signum((long)(t[0]-a[0])*(b[1]-a[1])-(long)(b[0]-a[0])*(t[1]-a[1])); }

	
	public static Comparator<int[]> compArgi = new Comparator<int[]>(){
		public int compare(int[] a, int[] b)
		{
			long ax = a[0], ay = a[1];
			long bx = b[0], by = b[1];
			int za = ay > 0 || ay == 0 && ax > 0 ? 0 : 1;
			int zb = by > 0 || by == 0 && bx > 0 ? 0 : 1;
			if(za != zb)return za - zb;
			if(ay*bx-ax*by != 0)return Long.signum(ay*bx-ax*by);
			return Long.signum((ax*ax+ay*ay)-(bx*bx+by*by));
		}
	};

	
	void run() throws Exception
	{
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//		Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
//			@Override
//			public void run() {
//				long s = System.currentTimeMillis();
//				solve();
//				out.flush();
//				if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//			}
//		};
//		t.start();
//		t.join();
	}
	
	public static void main(String[] args) throws Exception { new D10_4().run(); }
	
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;
	
	private int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
	private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private double nd() { return Double.parseDouble(ns()); }
	private char nc() { return (char)skip(); }
	
	private String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private long[] nal(int n)
	{
		long[] a = new long[n];
		for(int i = 0;i < n;i++)a[i] = nl();
		return a;
	}
	
	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private int[][] nmi(int n, int m) {
		int[][] map = new int[n][];
		for(int i = 0;i < n;i++)map[i] = na(m);
		return map;
	}
	
	private int ni() { return (int)nl(); }
	
	private long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}
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