結果
| 問題 | No.325 マンハッタン距離2 |
| ユーザー |
 uwi
|
| 提出日時 | 2015-12-18 01:20:54 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 54 ms / 1,000 ms |
| コード長 | 5,284 bytes |
| コンパイル時間 | 4,055 ms |
| コンパイル使用メモリ | 88,960 KB |
| 実行使用メモリ | 37,096 KB |
| 最終ジャッジ日時 | 2024-09-16 08:19:56 |
| 合計ジャッジ時間 | 6,329 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 24 |
ソースコード
package contest;import java.io.ByteArrayInputStream;import java.io.IOException;import java.io.InputStream;import java.io.PrintWriter;import java.util.Arrays;import java.util.InputMismatchException;public class Q477 {InputStream is;PrintWriter out;String INPUT = "";void solve(){long x1 = ni(), y1 = ni(), x2 = ni(), y2 = ni();long d = ni();long[][] c = new long[][]{{x1, y1}, {x2, y1}, {x2, y2}, {x1, y2}};c = convexCut(c, d+1, 1, 0, -d);c = convexCut(c, 1, -d-1, -d, 0);c = convexCut(c, -d-1, -1, 0, d);c = convexCut(c, -1, d+1, d, 0);if(c.length == 0){out.println(0);return;}long S2 = areaPoly2(c);long onEdge = onEdge(c);long inner = (S2-onEdge+2)/2;out.println(inner + onEdge);}public static long onEdge(long[][] co){int n = co.length;long s = 0;for(int i = 0, j = 1;i < n;i++,j++){if(j == n)j = 0;long dx = Math.abs(co[i][0]-co[j][0]);long dy = Math.abs(co[i][1]-co[j][1]);if(dx == 0 && dy == 0){continue;}long g = gcd(dx, dy);s += g;}return s;}public static long gcd(long a, long b) {while (b > 0) {long c = a;a = b;b = c % b;}return a;}public static long areaPoly2(long[][] co){int n = co.length;long s = 0;for(int i = 0, j = 1;i < n;i++,j++){if(j == n)j = 0;s += (long)co[i][0]*co[j][1]-(long)co[j][0]*co[i][1];}return Math.abs(s);}public static long[][] convexCut(long[][] c, long ax, long ay, long bx, long by){int n = c.length;long[] ccw = new long[n];int m = 2;for(int i = 0;i < n;i++){ccw[i] = (c[i][0]-ax)*(by-ay)-(bx-ax)*(c[i][1]-ay);if(ccw[i] >= 0)m++;}long[][] ret = new long[m][];int p = 0;for(int i = 0, j = 1;i < n;i++, j++){if(j == n)j = 0;if(ccw[i] >= 0){ret[p++] = c[i];}if(ccw[i] > 0 && ccw[j] < 0 || ccw[i] < 0 && ccw[j] > 0){long[] il = interLinesS(ax, ay, bx, by, c[i][0], c[i][1], c[j][0], c[j][1]);if(il != null){long g = gcd(Math.abs(il[0]), il[2]);il[0] /= g; il[2] /= g;long cx = ax + il[0] * (bx-ax) / il[2];long cy = ay + il[0] * (by-ay) / il[2];ret[p++] = new long[]{cx, cy};}}}return Arrays.copyOf(ret, p);}public static long[] interLinesS(long ax, long ay, long bx, long by, long cx, long cy, long dx, long dy){long aa = bx - ax;long cc = by - ay;long bb = cx - dx;long dd = cy - dy;long xx = cx - ax;long yy = cy - ay;long det = aa * dd - bb * cc;if(det == 0)return null;long tnum = dd*xx-bb*yy;long unum = -cc*xx+aa*yy;if(det < 0){det = -det;tnum = -tnum;unum = -unum;}// if(tnum < 0 || tnum > det || unum < 0 || unum > det)return null;return new long[]{tnum,unum,det};}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");}public static void main(String[] args) throws Exception { new Q477().run(); }private byte[] inbuf = new byte[1024];private 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 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[] na(int n){int[] a = new int[n];for(int i = 0;i < n;i++)a[i] = ni();return a;}private int ni(){int num = 0, 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 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)); }}