#67496 (Java21) No.325 マンハッタン距離2

• 問題: No.325 マンハッタン距離2
• ユーザー: ぴろず
• 提出日時: 2015-12-20 17:58:50
• 言語: Java21 (openjdk 21)
• 結果: WA
• 実行時間: -
• コード長: 2,938 bytes
• コンパイル時間: 2,972 ms
• コンパイル使用メモリ: 85,716 KB
• 実行使用メモリ: 57,772 KB
• 最終ジャッジ日時: 2023-10-17 14:32:00
• 合計ジャッジ時間: 7,420 ms
• ジャッジサーバーID （参考情報）: judge15 / judge12

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	134 ms; 55,028 KB
testcase_01	AC	132 ms; 57,192 KB
testcase_02	AC	132 ms; 57,680 KB
testcase_03	AC	130 ms; 57,116 KB
testcase_04	AC	133 ms; 57,080 KB
testcase_05	WA	-
testcase_06	AC	131 ms; 57,344 KB
testcase_07	WA	-
testcase_08	AC	128 ms; 57,608 KB
testcase_09	AC	129 ms; 57,232 KB
testcase_10	AC	131 ms; 57,672 KB
testcase_11	WA	-
testcase_12	AC	132 ms; 57,576 KB
testcase_13	WA	-
testcase_14	WA	-
testcase_15	WA	-
testcase_16	WA	-
testcase_17	WA	-
testcase_18	WA	-
testcase_19	WA	-
testcase_20	AC	145 ms; 57,740 KB
testcase_21	WA	-
testcase_22	WA	-
testcase_23	AC	132 ms; 57,348 KB
testcase_24	AC	132 ms; 57,152 KB
testcase_25	WA	-
testcase_26	WA	-

ソースコード

package no325;

import java.util.ArrayList;
import java.util.Scanner;
import java.util.TreeSet;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		long x1 = sc.nextLong();
		long y1 = sc.nextLong();
		long x2 = sc.nextLong();
		long y2 = sc.nextLong();
		long d = sc.nextLong();
		Vector2[] sq1 = {new Vector2(x1,y1),new Vector2(x2,y1),new Vector2(x2,y2),new Vector2(x1,y2)};
		Vector2[] sq2 = {new Vector2(d,0),new Vector2(0,d),new Vector2(-d,0),new Vector2(0,-d)};
		TreeSet<Long> ee = new TreeSet<>();
		for(int i=0;i<4;i++) {
			for(int j=0;j<4;j++) {
				Vector2 is = Vector2.intersect2(sq1[i], sq1[(i+1)%4], sq2[i], sq2[(i+1)%4]);
				long x = Math.round(is.x);
				if (x1 <= x && x <= x2) {
					ee.add(Math.round(is.x));
				}
			}
		}
		ArrayList<Long> e = new ArrayList<>(ee);
//		System.out.println(e);
		long sum = 0;
		for(int i=0;i<e.size()-1;i++) {
			long xa = e.get(i);
			long xb = e.get(i+1);
			long c1 = count(xa,y1,y2,d);
			long c2 = count(xb,y1,y2,d);
//			System.out.println("[" + xa + "," + xb + "):" + c1 + "->" + c2 + ":" + ((c1 + c2) * (xb - xa + 1) / 2 - c2));
			sum += (c1 + c2) * (xb - xa + 1) / 2 - c2;
		}
		sum += count(e.get(e.size()-1),y1,y2,d);
		System.out.println(sum);
	}
	
	//(a,b) (a=x,y1<=b<=y2) に、原点からマンハッタン距離がdイカの点がいくつ存在するか数える 
	public static long count(long x,long y1,long y2,long d) {
		long dy = d - Math.abs(x);
		if (dy < 0) {
			return 0;
		}
		if (y1 > dy || y2 < -dy) {
			return 0;
		}
		return Math.min(dy, y2) - Math.max(-dy, y1) + 1;
	}

}
class Vector2 {
	public double x;
	public double y;
	public Vector2(double x,double y) {
		this.x = x;
		this.y = y;
	}
	public double dot(Vector2 v) {
		return this.x*v.x+this.y*v.y;
	}
	public double cross(Vector2 v) {
		return this.x*v.y-this.y*v.x;
	}
	public double norm() {
		return Math.sqrt(this.x*this.x+this.y*this.y);
	}
	public Vector2 normalize() {
		return divide(norm());
	}
	public Vector2 add(Vector2 v) {
		return new Vector2(x+v.x,y+v.y);
	}
	public Vector2 subtract(Vector2 v) {
		return new Vector2(x-v.x,y-v.y);
	}
	public Vector2 multiply(double k) {
		return new Vector2(x*k,y*k);
	}
	public Vector2 divide(double k) {
		return new Vector2(x/k,y/k);
	}
	public Vector2 rotate90() {
		return new Vector2(-y,x);
	}
	public Vector2 rotate270() {
		return new Vector2(y,-x);
	}
	public static Vector2 intersect(Vector2 r1,Vector2 d1,Vector2 r2,Vector2 d2) {
		return r1.add(d1.multiply(-d2.cross(r2.subtract(r1)) / d1.cross(d2)));
	}
	public static Vector2 intersect2(Vector2 v11, Vector2 v12, Vector2 v21, Vector2 v22) {
		return Vector2.intersect(v11, v12.subtract(v11), v21, v22.subtract(v21));
	}
	public static double dist(Vector2 r1,Vector2 r2,Vector2 p) {
		return r2.subtract(r1).normalize().cross(p.subtract(r1));
	}
	public String toString() {
		return "(" + this.x + "," + this.y + ")";
	}
}