結果
| 問題 | No.470 Inverse S+T Problem |
| ユーザー |
 narushimas
|
| 提出日時 | 2020-09-25 12:35:18 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 164 ms / 2,000 ms |
| コード長 | 15,398 bytes |
| コンパイル時間 | 2,863 ms |
| コンパイル使用メモリ | 83,920 KB |
| 実行使用メモリ | 61,352 KB |
| 最終ジャッジ日時 | 2023-08-24 01:41:06 |
| 合計ジャッジ時間 | 6,832 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge15 |
（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 | 85 ms
53,608 KB |
| testcase_01 | AC | 45 ms
49,648 KB |
| testcase_02 | AC | 77 ms
53,784 KB |
| testcase_03 | AC | 82 ms
53,476 KB |
| testcase_04 | AC | 76 ms
52,764 KB |
| testcase_05 | AC | 84 ms
53,844 KB |
| testcase_06 | AC | 79 ms
54,216 KB |
| testcase_07 | AC | 69 ms
53,992 KB |
| testcase_08 | AC | 79 ms
54,256 KB |
| testcase_09 | AC | 84 ms
53,196 KB |
| testcase_10 | AC | 83 ms
51,924 KB |
| testcase_11 | AC | 90 ms
52,584 KB |
| testcase_12 | AC | 86 ms
52,440 KB |
| testcase_13 | AC | 85 ms
53,464 KB |
| testcase_14 | AC | 87 ms
53,672 KB |
| testcase_15 | AC | 45 ms
49,616 KB |
| testcase_16 | AC | 88 ms
53,136 KB |
| testcase_17 | AC | 89 ms
53,188 KB |
| testcase_18 | AC | 86 ms
53,392 KB |
| testcase_19 | AC | 45 ms
49,500 KB |
| testcase_20 | AC | 96 ms
52,552 KB |
| testcase_21 | AC | 77 ms
52,844 KB |
| testcase_22 | AC | 87 ms
52,672 KB |
| testcase_23 | AC | 89 ms
52,428 KB |
| testcase_24 | AC | 44 ms
49,432 KB |
| testcase_25 | AC | 45 ms
49,572 KB |
| testcase_26 | AC | 45 ms
49,480 KB |
| testcase_27 | AC | 44 ms
49,604 KB |
| testcase_28 | AC | 57 ms
51,340 KB |
| testcase_29 | AC | 164 ms
61,352 KB |
| testcase_30 | AC | 47 ms
49,408 KB |
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 void solve() {
int n = ni();
var us = nm(n, 3);
if(n > 3000) {
out.println("Impossible");
return;
}
TwoSAT ts = new TwoSAT(n); // 1/2 true , 2/1 false
for(int i=0;i<n;i++) {
for(int j=i+1;j<n;j++) {
char[] s = us[i], t = us[j];
if(s[0] == t[0] || (s[1] == t[1] && s[2] == t[2])) ts.addClause(i, false, j, false);
if((s[0] == t[0] && s[1] == t[1]) || s[2] == t[2]) ts.addClause(i, true, j, true);
if(s[0] == t[2] || (s[1] == t[0] && s[2] == t[1])) ts.addClause(i, false, j, true);
if((s[0] == t[1] && s[1] == t[2]) || s[2] == t[0]) ts.addClause(i, true, j, false);
}
}
if(!ts.satisfiable()) {
out.println("Impossible");
return;
}
var res = ts.answer();
for(int i=0;i<res.length;i++) {
if(res[i]) {
out.print(us[i][0] + " ");
out.print(us[i][1] + "" + us[i][2]);
}
else {
out.print(us[i][0] + "" + us[i][1] + " ");
out.print(us[i][2]);
}
out.println();
}
}
//constants
static 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;
//libraries
static 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 culc
static 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();
}
//input
static 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();
}
}
}