結果
問題 | No.274 The Wall |
ユーザー |
|
提出日時 | 2020-09-25 13:13:53 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 788 ms / 2,000 ms |
コード長 | 13,989 bytes |
コンパイル時間 | 2,796 ms |
コンパイル使用メモリ | 88,392 KB |
実行使用メモリ | 303,272 KB |
最終ジャッジ日時 | 2024-06-28 05:48:05 |
合計ジャッジ時間 | 9,036 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 4 |
other | AC * 22 |
ソースコード
import java.io.*;import java.util.*;class TwoSAT {private final int n;private final InternalSCC scc;private final boolean[] answer;private boolean hasCalledSatisfiable = false;private boolean existsAnswer = false;public TwoSAT(int n) {this.n = n;this.scc = new InternalSCC(2 * n);this.answer = new boolean[n];}public void addClause(int x, boolean f, int y, boolean g) {rangeCheck(x);rangeCheck(y);scc.addEdge(x << 1 | (f ? 0 : 1), y << 1 | (g ? 1 : 0));scc.addEdge(y << 1 | (g ? 0 : 1), x << 1 | (f ? 1 : 0));}public void addImplication(int x, boolean f, int y, boolean g) {addClause(x, !f, y, g);}public void addNand(int x, boolean f, int y, boolean g) {addClause(x, !f, y, !g);}public boolean satisfiable() {hasCalledSatisfiable = true;int[] ids = scc.ids();for (int i = 0; i < n; i++) {if (ids[i << 1 | 0] == ids[i << 1 | 1])return existsAnswer = false;answer[i] = ids[i << 1 | 0] < ids[i << 1 | 1];}return existsAnswer = true;}public boolean[] answer() {if (!hasCalledSatisfiable) {throw new UnsupportedOperationException("Call TwoSAT#satisfiable at least once before TwoSAT#answer.");}if (existsAnswer)return answer;return null;}private void rangeCheck(int x) {if (x < 0 || x >= n) {throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", x, n));}}private static final class EdgeList {long[] a;int ptr = 0;EdgeList(int cap) {a = new long[cap];}void add(int upper, int lower) {if (ptr == a.length)grow();a[ptr++] = (long) upper << 32 | lower;}void grow() {long[] b = new long[a.length << 1];System.arraycopy(a, 0, b, 0, a.length);a = b;}}private static final class InternalSCC {final int n;int m;final EdgeList unorderedEdges;final int[] start;InternalSCC(int n) {this.n = n;this.unorderedEdges = new EdgeList(n);this.start = new int[n + 1];}void addEdge(int from, int to) {unorderedEdges.add(from, to);start[from + 1]++;this.m++;}static final long mask = 0xffff_ffffl;int[] ids() {for (int i = 1; i <= n; i++) {start[i] += start[i - 1];}int[] orderedEdges = new int[m];int[] count = new int[n + 1];System.arraycopy(start, 0, count, 0, n + 1);for (int i = 0; i < m; i++) {long e = unorderedEdges.a[i];orderedEdges[count[(int) (e >>> 32)]++] = (int) (e & mask);}int nowOrd = 0;int groupNum = 0;int k = 0;int[] par = new int[n];int[] vis = new int[n];int[] low = new int[n];int[] ord = new int[n];java.util.Arrays.fill(ord, -1);int[] ids = new int[n];long[] stack = new long[n];int ptr = 0;for (int i = 0; i < n; i++) {if (ord[i] >= 0)continue;par[i] = -1;stack[ptr++] = i;while (ptr > 0) {long p = stack[--ptr];int u = (int) (p & mask);int j = (int) (p >>> 32);if (j == 0) {low[u] = ord[u] = nowOrd++;vis[k++] = u;}if (start[u] + j < count[u]) {int to = orderedEdges[start[u] + j];stack[ptr++] += 1l << 32;if (ord[to] == -1) {stack[ptr++] = to;par[to] = u;} else {low[u] = Math.min(low[u], ord[to]);}} else {while (j-- > 0) {int to = orderedEdges[start[u] + j];if (par[to] == u)low[u] = Math.min(low[u], low[to]);}if (low[u] == ord[u]) {while (true) {int v = vis[--k];ord[v] = n;ids[v] = groupNum;if (v == u)break;}groupNum++;}}}}for (int i = 0; i < n; i++) {ids[i] = groupNum - 1 - ids[i];}return ids;}}}public class Main {static int m;static void solve() {int n = ni();m = ni();var p = na(n, 2);var ts = new TwoSAT(n); //そのまま true ひっくり返す falsefor(int i=0;i<n;i++) {for(int j=i+1;j<n;j++) {int[] a = p[i], b = p[j];if(overlap(a[0], a[1], b[0], b[1])) ts.addClause(i, false, j, false);if(overlap(a[0], a[1], rev(b[1]), rev(b[0]))) ts.addClause(i, false, j, true);if(overlap(rev(a[1]), rev(a[0]), b[0], b[1])) ts.addClause(i, true, j, false);if(overlap(rev(a[1]), rev(a[0]), rev(b[1]), rev(b[0]))) ts.addClause(i, true, j, true);}}if(!ts.satisfiable()) {out.println("NO");return;}out.println("YES");}static int rev(int x) {return m - 1 - x;}static boolean overlap (int l1, int r1, int l2, int r2) {int[] a = {l1, r1}, b = {l2, r2};if(l1 > l2) {var t = a.clone();a = b;b = t;}return a[1] >= b[0];}//constantsstatic final int inf = Integer.MAX_VALUE / 2;static final long linf = Long.MAX_VALUE / 3;static final double dinf = Double.MAX_VALUE / 3;static final long mod = (long) 1e9 + 7;static final int[] dx = { -1, 0, 1, 0 }, dy = { 0, -1, 0, 1 }, dx8 = { -1, -1, -1, 0, 0, 1, 1, 1 },dy8 = { -1, 0, 1, -1, 1, -1, 0, 1 };static final double eps = 1e-10;//librariesstatic long[] cum(int a[]) {long[] cum = new long[a.length + 1];for (int i = 0; i < a.length; i++)cum[i + 1] = cum[i] + a[i];return cum;}static long[] cum(long a[]) {long[] cum = new long[a.length + 1];for (int i = 0; i < a.length; i++)cum[i + 1] = cum[i] + a[i];return cum;}static void reverse(int ar[]) {int len = ar.length;for (int i = 0; i < len / 2; i++) {int t = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = t;}}static void reverse(long ar[]) {int len = ar.length;for (int i = 0; i < len / 2; i++) {long t = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = t;}}static void reverse(double ar[]) {int len = ar.length;for (int i = 0; i < len / 2; i++) {double t = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = t;}}static void reverse(char ar[]) {int len = ar.length;for (int i = 0; i < len / 2; i++) {char t = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = t;}}static String getReverse(String s) {StringBuilder sb = new StringBuilder(s);return sb.reverse().toString();}static <T> void reverse(T[] ar) {int len = ar.length;for (int i = 0; i < len / 2; i++) {T t = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = t;}}static int[] concat(int x, int arr[]) {int ret[] = new int[arr.length + 1];System.arraycopy(arr, 0, ret, 1, ret.length - 1);ret[0] = x;return ret;}static int[] concat(int arr[], int x) {int ret[] = new int[arr.length + 1];System.arraycopy(arr, 0, ret, 0, ret.length - 1);ret[ret.length - 1] = x;return ret;}static long[] concat(long x, long arr[]) {long ret[] = new long[arr.length + 1];System.arraycopy(arr, 0, ret, 1, ret.length - 1);ret[0] = x;return ret;}static long[] concat(long arr[], long x) {long ret[] = new long[arr.length + 1];System.arraycopy(arr, 0, ret, 0, ret.length - 1);ret[ret.length - 1] = x;return ret;}static char[] concat(char x, char arr[]) {char ret[] = new char[arr.length + 1];System.arraycopy(arr, 0, ret, 0, ret.length - 1);ret[ret.length - 1] = x;return ret;}static char[] concat(char arr[], char x) {char ret[] = new char[arr.length + 1];System.arraycopy(arr, 0, ret, 0, ret.length - 1);ret[ret.length - 1] = x;return ret;}static int max(int x, int y) {return Math.max(x, y);}static int min(int x, int y) {return Math.min(x, y);}static int max(int x, int y, int z) {x = Math.max(x, y);x = Math.max(x, z);return x;}static int min(int x, int y, int z) {x = Math.min(x, y);x = Math.min(x, z);return x;}static long max(long x, long y) {return Math.max(x, y);}static long min(long x, long y) {return Math.min(x, y);}static long max(long x, long y, long z) {x = Math.max(x, y);x = Math.max(x, z);return x;}static long min(long x, long y, long z) {x = Math.min(x, y);x = Math.min(x, z);return x;}static double max(double x, double y) {return Math.max(x, y);}static double min(double x, double y) {return Math.min(x, y);}static double max(double x, double y, double z) {x = Math.max(x, y);x = Math.max(x, z);return x;}static double min(double x, double y, double z) {x = Math.min(x, y);x = Math.min(x, z);return x;}static void sort(int[] ar) {Arrays.sort(ar);}static void sort(long[] ar) {Arrays.sort(ar);}static void sort(double[] ar) {Arrays.sort(ar);}static void sort(char[] ar) {Arrays.sort(ar);}static void rsort(int[] ar) {Arrays.sort(ar);int len = ar.length;for (int i = 0; i < len / 2; i++) {int tmp = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = tmp;}}static void rsort(long[] ar) {Arrays.sort(ar);int len = ar.length;for (int i = 0; i < len / 2; i++) {long tmp = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = tmp;}}static void rsort(double[] ar) {Arrays.sort(ar);int len = ar.length;for (int i = 0; i < len / 2; i++) {double tmp = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = tmp;}}static void rsort(char[] ar) {Arrays.sort(ar);int len = ar.length;for (int i = 0; i < len / 2; i++) {char tmp = ar[i];ar[i] = ar[len - 1 - i];ar[len - 1 - i] = tmp;}}static void fill(int arr[], int x) {Arrays.fill(arr, x);}static void fill(long arr[], long x) {Arrays.fill(arr, x);}static void fill(boolean arr[], boolean x) {Arrays.fill(arr, x);}static void fill(double arr[], double x) {Arrays.fill(arr, x);}static void fill(int arr[][], int x) {for (int i = 0; i < arr.length; i++)Arrays.fill(arr[i], x);}static void fill(long arr[][], long x) {for (int i = 0; i < arr.length; i++)Arrays.fill(arr[i], x);}static void fill(double arr[][], double x) {for (int i = 0; i < arr.length; i++)Arrays.fill(arr[i], x);}static void fill(boolean arr[][], boolean x) {for (int i = 0; i < arr.length; i++)Arrays.fill(arr[i], x);}//MOD culcstatic long plus(long x, long y) {long res = (x + y) % mod;return res < 0 ? res + mod : res;}static long sub(long x, long y) {long res = (x - y) % mod;return res < 0 ? res + mod : res;}static long mul(long x, long y) {long res = (x * y) % mod;return res < 0 ? res + mod : res;}static long div(long x, long y) {long res = x * pow(y, mod - 2) % mod;return res < 0 ? res + mod : res;}static long pow(long x, long y) {if (y < 0)return 0;if (y == 0)return 1;if (y % 2 == 1)return (x * pow(x, y - 1)) % mod;long root = pow(x, y / 2);return root * root % mod;}public static void main(String[] args) throws Exception {is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());out = new PrintWriter(System.out);solve();out.flush();}//inputstatic InputStream is;static PrintWriter out;static String INPUT = "";private static byte[] inbuf = new byte[1024];static int lenbuf = 0, ptrbuf = 0;private static 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 static boolean isSpaceChar(int c) {return !(c >= 33 && c <= 126);}private static int skip() {int b;while ((b = readByte()) != -1 && isSpaceChar(b));return b;}@SuppressWarnings("unused")private static double nd() {return Double.parseDouble(ns());}@SuppressWarnings("unused")private static char nc() {return (char) skip();}private static String ns() {int b = skip();StringBuilder sb = new StringBuilder();while (!(isSpaceChar(b))) {sb.appendCodePoint(b);b = readByte();}return sb.toString();}private static 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);}@SuppressWarnings("unused")private static char[][] nm(int n, int m) {char[][] map = new char[n][];for (int i = 0; i < n; i++)map[i] = ns(m);return map;}@SuppressWarnings("unused")private static int[] na(int n) {int[] a = new int[n];for (int i = 0; i < n; i++)a[i] = ni();return a;}@SuppressWarnings("unused")private static long[] nla(int n) {long[] a = new long[n];for (int i = 0; i < n; i++)a[i] = nl();return a;}@SuppressWarnings("unused")private static int[][] na(int n, int m) {int[][] res = new int[n][m];for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) {res[i][j] = ni();}}return res;}@SuppressWarnings("unused")private static long[][] nla(int n, int m) {long[][] res = new long[n][m];for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) {res[i][j] = nl();}}return res;}private static 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 static 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();}}}