結果
問題 | No.2180 Comprehensive Line Segments |
ユーザー | uwi |
提出日時 | 2023-01-09 21:02:17 |
言語 | Java21 (openjdk 21) |
結果 |
WA
|
実行時間 | - |
コード長 | 14,856 bytes |
コンパイル時間 | 5,457 ms |
コンパイル使用メモリ | 93,320 KB |
実行使用メモリ | 63,128 KB |
最終ジャッジ日時 | 2024-05-10 02:30:59 |
合計ジャッジ時間 | 13,709 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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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 | 80 ms
38,144 KB |
testcase_01 | AC | 78 ms
37,760 KB |
testcase_02 | AC | 74 ms
37,920 KB |
testcase_03 | AC | 449 ms
53,240 KB |
testcase_04 | AC | 79 ms
37,536 KB |
testcase_05 | AC | 77 ms
37,556 KB |
testcase_06 | AC | 80 ms
37,996 KB |
testcase_07 | AC | 85 ms
38,032 KB |
testcase_08 | AC | 79 ms
37,840 KB |
testcase_09 | AC | 325 ms
50,872 KB |
testcase_10 | AC | 426 ms
52,820 KB |
testcase_11 | AC | 398 ms
51,768 KB |
testcase_12 | WA | - |
testcase_13 | AC | 422 ms
51,504 KB |
testcase_14 | AC | 430 ms
52,244 KB |
testcase_15 | AC | 456 ms
52,648 KB |
testcase_16 | WA | - |
testcase_17 | AC | 248 ms
48,624 KB |
testcase_18 | AC | 461 ms
52,556 KB |
testcase_19 | WA | - |
testcase_20 | WA | - |
testcase_21 | AC | 248 ms
48,828 KB |
testcase_22 | AC | 86 ms
37,844 KB |
testcase_23 | AC | 151 ms
44,712 KB |
testcase_24 | WA | - |
testcase_25 | WA | - |
testcase_26 | WA | - |
testcase_27 | WA | - |
testcase_28 | AC | 229 ms
48,752 KB |
ソースコード
package contest230106; import java.io.*; import java.util.*; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; public class F { InputStream is; FastWriter out; String INPUT = ""; public void solve() { int n = ni(); if(n == 1){ out.println(1); return; } int[][] co = nmi(n, 2); int[][][] dp = new int[1<<n][n][n]; for(int i =0;i < 1<<n;i++){ for(int j = 0;j < n;j++){ Arrays.fill(dp[i][j], 9999999); } } int[][] ons = new int[n][n]; for(int i = 0;i < n;i++){ for(int j = i+1;j < n;j++){ for(int k = 0;k < n;k++){ if(isACB(co[i], co[j], co[k])){ ons[i][j] |= 1<<k; ons[j][i] |= 1<<k; } } } } for(int i = 1;i < 1<<n;i++){ if(Integer.bitCount(i) < 2)continue; if(Integer.bitCount(i) == 2){ List<Integer> got = new ArrayList<>(); for(int j = 0;j < n;j++){ if(i<<~j<0)got.add(j); } dp[ons[got.get(0)][got.get(1)]][got.get(0)][got.get(1)] = 1; dp[ons[got.get(0)][got.get(1)]][got.get(1)][got.get(0)] = 1; } for(int k = 0;k < n;k++){ for(int l = 0;l < n;l++){ for(int j = 0;j < n;j++){ if(i<<~j>=0){ dp[i|1<<j][j][j] = Math.min(dp[i|1<<j][j][j], dp[i][k][l] + 114514); // k -> l -> xからjに結ぶと、たとえばどんなxをとってもxjと交わるような線分がとれてそれでしぬ } } if(i<<~k<0 && i<<~l<0) { for (int j = 0; j < n; j++) { for (int m = 0; m < n; m++) { if(i<<~j>=0 && i<<~m>=0 && m != j){ if(k != l) { int[] vc = {co[k][0] - co[l][0], co[k][1] - co[l][1]}; int[] vn = {co[j][0] - co[m][0], co[j][1] - co[m][1]}; if (vc[0] * vn[1] - vc[1] * vn[0] == 0) { // 平行 dp[i | ons[j][m]][j][m] = Math.min(dp[i | ons[j][m]][j][m], dp[i][k][l] + 2); } else { double[] il = interLines( co[k][0], co[k][1], co[l][0], co[l][1], co[j][0], co[j][1], co[m][0], co[m][1] ); if(il[2] >= 1-1e-9 && il[3] <= 0-1e-9){ dp[i | ons[j][m]][j][m] = Math.min(dp[i | ons[j][m]][j][m], dp[i][k][l] + 1); }else{ dp[i | ons[j][m]][j][m] = Math.min(dp[i | ons[j][m]][j][m], dp[i][k][l] + 2); } } }else{ dp[i | ons[j][m]][j][m] = Math.min(dp[i | ons[j][m]][j][m], dp[i][k][l] + 1); } } } } } } } } int ans = 99999999; for(int i = 0;i < n;i++){ for(int j = 0;j < n;j++){ ans = Math.min(ans, dp[(1<<n)-1][i][j]); } } out.println(ans); } public static double[] interLines(double ax, double ay, double bx, double by, double cx, double cy, double dx, double dy) { double eps = 1E-9; double aa = bx - ax; double cc = by - ay; double bb = cx - dx; double dd = cy - dy; double xx = cx - ax; double yy = cy - ay; double det = aa * dd - bb * cc; if(Math.abs(det) < eps)return null; double t = (dd * xx - bb * yy) / det; double u = (-cc * xx + aa * yy) / det; return new double[]{ax + (bx - ax) * t, ay + (by - ay) * t, t, u}; } 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(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 void main(String[] args) { new F().run(); } public void run() { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new FastWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-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(); } private boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private final 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 boolean isSpaceChar(int c) { return !(c >= 32 && 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))){ 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[][] 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[] 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 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(); } } public static class FastWriter { private static final int BUF_SIZE = 1<<13; private final byte[] buf = new byte[BUF_SIZE]; private final OutputStream out; private int ptr = 0; private FastWriter(){out = null;} public FastWriter(OutputStream os) { this.out = os; } public FastWriter(String path) { try { this.out = new FileOutputStream(path); } catch (FileNotFoundException e) { throw new RuntimeException("FastWriter"); } } public FastWriter write(byte b) { buf[ptr++] = b; if(ptr == BUF_SIZE)innerflush(); return this; } public FastWriter write(char c) { return write((byte)c); } public FastWriter write(char[] s) { for(char c : s){ buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); } return this; } public FastWriter write(String s) { s.chars().forEach(c -> { buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); }); return this; } private static int countDigits(int l) { if (l >= 1000000000) return 10; if (l >= 100000000) return 9; if (l >= 10000000) return 8; if (l >= 1000000) return 7; if (l >= 100000) return 6; if (l >= 10000) return 5; if (l >= 1000) return 4; if (l >= 100) return 3; if (l >= 10) return 2; return 1; } public FastWriter write(int x) { if(x == Integer.MIN_VALUE){ return write((long)x); } if(ptr + 12 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } private static int countDigits(long l) { if (l >= 1000000000000000000L) return 19; if (l >= 100000000000000000L) return 18; if (l >= 10000000000000000L) return 17; if (l >= 1000000000000000L) return 16; if (l >= 100000000000000L) return 15; if (l >= 10000000000000L) return 14; if (l >= 1000000000000L) return 13; if (l >= 100000000000L) return 12; if (l >= 10000000000L) return 11; if (l >= 1000000000L) return 10; if (l >= 100000000L) return 9; if (l >= 10000000L) return 8; if (l >= 1000000L) return 7; if (l >= 100000L) return 6; if (l >= 10000L) return 5; if (l >= 1000L) return 4; if (l >= 100L) return 3; if (l >= 10L) return 2; return 1; } public FastWriter write(long x) { if(x == Long.MIN_VALUE){ return write("" + x); } if(ptr + 21 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } public FastWriter write(double x, int precision) { if(x < 0){ write('-'); x = -x; } x += Math.pow(10, -precision)/2; // if(x < 0){ x = 0; } write((long)x).write("."); x -= (long)x; for(int i = 0;i < precision;i++){ x *= 10; write((char)('0'+(int)x)); x -= (int)x; } return this; } public FastWriter writeln(char c){ return write(c).writeln(); } public FastWriter writeln(int x){ return write(x).writeln(); } public FastWriter writeln(long x){ return write(x).writeln(); } public FastWriter writeln(double x, int precision){ return write(x, precision).writeln(); } public FastWriter write(int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(IntUnaryOperator f, int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(f.applyAsInt(x)); } return this; } public FastWriter write(LongUnaryOperator f, long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(f.applyAsLong(x)); } return this; } public FastWriter writeln() { return write((byte)'\n'); } public FastWriter writeln(int... xs) { return write(xs).writeln(); } public FastWriter writeln(long... xs) { return write(xs).writeln(); } public FastWriter writeln(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); } public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, xs).writeln(); } public FastWriter writeln(char[] line) { return write(line).writeln(); } public FastWriter writeln(char[]... map) { for(char[] line : map)write(line).writeln();return this; } public FastWriter writeln(String s) { return write(s).writeln(); } private void innerflush() { try { out.write(buf, 0, ptr); ptr = 0; } catch (IOException e) { throw new RuntimeException("innerflush"); } } public void flush() { innerflush(); try { out.flush(); } catch (IOException e) { throw new RuntimeException("flush"); } } public FastWriter print(byte b) { return write(b); } public FastWriter print(char c) { return write(c); } public FastWriter print(char[] s) { return write(s); } public FastWriter print(String s) { return write(s); } public FastWriter print(int x) { return write(x); } public FastWriter print(long x) { return write(x); } public FastWriter print(double x, int precision) { return write(x, precision); } public FastWriter println(char c){ return writeln(c); } public FastWriter println(int x){ return writeln(x); } public FastWriter println(long x){ return writeln(x); } public FastWriter println(double x, int precision){ return writeln(x, precision); } public FastWriter print(int... xs) { return write(xs); } public FastWriter print(long... xs) { return write(xs); } public FastWriter print(IntUnaryOperator f, int... xs) { return write(f, xs); } public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); } public FastWriter println(int... xs) { return writeln(xs); } public FastWriter println(long... xs) { return writeln(xs); } public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); } public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, xs); } public FastWriter println(char[] line) { return writeln(line); } public FastWriter println(char[]... map) { return writeln(map); } public FastWriter println(String s) { return writeln(s); } public FastWriter println() { return writeln(); } } public static void trnz(int... o) { for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" "); System.out.println(); } // print ids which are 1 public static void trt(long... o) { Queue<Integer> stands = new ArrayDeque<>(); for(int i = 0;i < o.length;i++){ for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x)); } System.out.println(stands); } public static void tf(boolean... r) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } public static void tf(boolean[]... b) { for(boolean[] r : b) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } System.out.println(); } public void tf(long[]... b) { if(INPUT.length() != 0) { for (long[] r : b) { for (long x : r) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } System.out.println(); } } public void tf(long... b) { if(INPUT.length() != 0) { for (long x : b) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } } private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }