#763924 (Java21) No.1955 Not Prime

提出ソース
結果

問題	No.1955 Not Prime
ユーザー	uwi
提出日時	2022-05-20 23:15:54
言語	Java21 (openjdk 21)
結果	AC
実行時間	459 ms / 2,000 ms
コード長	16,242 bytes
コンパイル時間	5,148 ms
コンパイル使用メモリ	92,788 KB
実行使用メモリ	85,164 KB
最終ジャッジ日時	2024-09-20 09:40:08
合計ジャッジ時間	12,554 ms
ジャッジサーバーID （参考情報）	judge2 / judge1
このコードへのチャレンジ
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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	142 ms 43,520 KB
testcase_01	AC	136 ms 43,524 KB
testcase_02	AC	138 ms 43,324 KB
testcase_03	AC	132 ms 43,344 KB
testcase_04	AC	138 ms 43,420 KB
testcase_05	AC	131 ms 43,640 KB
testcase_06	AC	185 ms 45,836 KB
testcase_07	AC	345 ms 51,796 KB
testcase_08	AC	352 ms 52,052 KB
testcase_09	AC	352 ms 51,396 KB
testcase_10	AC	290 ms 49,196 KB
testcase_11	AC	459 ms 85,164 KB
testcase_12	AC	265 ms 49,928 KB
testcase_13	AC	386 ms 52,728 KB
testcase_14	AC	269 ms 50,096 KB
testcase_15	AC	258 ms 49,896 KB
testcase_16	AC	336 ms 51,556 KB
testcase_17	AC	392 ms 55,612 KB
testcase_18	AC	387 ms 52,788 KB
testcase_19	AC	387 ms 53,852 KB
testcase_20	AC	131 ms 43,516 KB
testcase_21	AC	272 ms 49,988 KB
testcase_22	AC	132 ms 43,464 KB
testcase_23	AC	141 ms 43,792 KB
testcase_24	AC	141 ms 43,764 KB
testcase_25	AC	141 ms 43,628 KB
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ソースコード

raw source code
package contest220520;
import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;

public class O {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public void solve()
	{
		int n = ni();
		int[] lpf = enumLowestPrimeFactors(999999);
		String[] a = new String[n];
		String[] b = new String[n];
		for(int i = 0;i < n;i++){
			a[i] = ns();
			b[i] = ns();
		}
		TwoSatisfiability ts = new TwoSatisfiability(n);
		for(int i = 0;i < 2*n;i++){
			for(int j = 0;j < 2*n;j++){
				String x = i < n ? a[i] : b[i-n];
				String y = j < n ? a[j] : b[j-n];
				int num = Integer.parseInt(x+y);
				if(num == lpf[num]){
					// !(x in s and y in t)
					// x in t or y in s
					ts.or(i % n, i < n ? false : true, j % n, j < n ? true : false);
				}
			}
		}
		out.println(ts.isSatisfied() ? "Yes" : "No");
	}

	public static int[] enumLowestPrimeFactors(int n)
	{
		int tot = 0;
		int[] lpf = new int[n+1];
		int u = n+32;
		double lu = Math.log(u);
		int[] primes = new int[(int)(u/lu+u/lu/lu*1.5)];
		for(int i = 2;i <= n;i++)lpf[i] = i;
		for(int p = 2;p <= n;p++){
			if(lpf[p] == p)primes[tot++] = p;
			int tmp;
			for(int i = 0;i < tot && primes[i] <= lpf[p] && (tmp = primes[i]*p) <= n;i++){
				lpf[tmp] = primes[i];
			}
		}
		return lpf;
	}


	public static class TwoSatisfiability {
		public int[] from, to;
		public int p;
		public int n;

		public TwoSatisfiability(int n) {
			this.n = n;
			from = new int[2];
			to = new int[2];
			p = 0;
		}

		private void addEdge(int x, int y)
		{
			if(p == from.length){
				from = Arrays.copyOf(from, p*3/2);
				to = Arrays.copyOf(to, p*3/2);
			}

			from[p] = x;
			to[p] = y;
			p++;
		}

		public boolean isSatisfied()
		{
			int[][] g = packD(2*n, from, to, p);
			int[] clus = decomposeToSCC(g);
			for(int i = 0;i < n;i++){
				if(clus[i] == clus[i+n])return false;
			}
			return true;
		}

		public int[] restore()
		{
			int[][] g = packD(2*n, from, to, p);
			int[] clus = decomposeToSCC(g);
			int[] ret = new int[n];
			for(int i = 0;i < n;i++){
				if(clus[i] == clus[i+n])return null; // unsatisfied
				ret[i] = clus[i] > clus[i+n] ? -1 : 1;
			}
			return ret;
		}

		// x or y
		// ~x->y, ~y->x
		public void or(int x, int y)
		{
			addEdge(x+n, y);
			addEdge(y+n, x);
		}

		public void or(int x, boolean positivex, int y, boolean positivey)
		{
			addEdge(x+(positivex ? n : 0), y+(positivey ? 0 : n));
			addEdge(y+(positivey ? n : 0), x+(positivex ? 0 : n));
		}

		// x = y
		// ~x -> ~y, ~y -> ~x
		// x -> y, y -> x
		public void eq(int x, int y)
		{
			addEdge(x, y);
			addEdge(y, x);
			addEdge(x+n, y+n);
			addEdge(y+n, x+n);
		}

		public void eq(int x, boolean positivex, int y, boolean positivey)
		{
			addEdge(x+(positivex ? 0 : n), y+(positivey ? 0 : n));
			addEdge(y+(positivey ? 0 : n), x+(positivex ? 0 : n));
			addEdge(x+(positivex ? n : 0), y+(positivey ? n : 0));
			addEdge(y+(positivey ? n : 0), x+(positivex ? n : 0));
		}

		// x xor y
		// ~x -> y, y -> ~x
		// x -> ~y, ~y -> x
		public void xor(int x, int y)
		{
			addEdge(x+n, y);
			addEdge(y, x+n);
			addEdge(x, y+n);
			addEdge(y+n, x);
		}

		// always true
		public void t(int x)
		{
			addEdge(x+n, x);
		}

		// always false
		public void f(int x)
		{
			addEdge(x, x+n);
		}

		////// inner utility

		public static int[][] packD(int n, int[] from, int[] to, int sup)
		{
			int[][] g = new int[n][];
			int[] p = new int[n];
			for(int i = 0;i < sup;i++)p[from[i]]++;
			for(int i = 0;i < n;i++)g[i] = new int[p[i]];
			for(int i = 0;i < sup;i++){
				g[from[i]][--p[from[i]]] = to[i];
			}
			return g;
		}

		public static int[] decomposeToSCC(int[][] g)
		{
			int n = g.length;
			int[] stack = new int[n+1];
			int[] ind = new int[n+1];
			int[] ord = new int[n];
			Arrays.fill(ord, -1);
			int[] low = new int[n];
			Arrays.fill(low, -1);
			int sp = 0;
			int id = 0; // preorder
			int[] clus = new int[n];
			int cid = 0;
			int[] cstack = new int[n+1];
			int csp = 0;
			boolean[] incstack = new boolean[n];
			for(int i = 0;i < n;i++){
				if(ord[i] == -1){
					ind[sp] = 0;
					cstack[csp++] = i;
					stack[sp++] = i;
					incstack[i] = true;
					while(sp > 0){
						int cur = stack[sp-1];
						if(ind[sp-1] == 0){
							ord[cur] = low[cur] = id++;
						}
						if(ind[sp-1] < g[cur].length){
							int nex = g[cur][ind[sp-1]];
							if(ord[nex] == -1){
								ind[sp-1]++;
								ind[sp] = 0;
								incstack[nex] = true;
								cstack[csp++] = nex;
								stack[sp++] = nex;
							}else{
								// shortcut
								//							U.tr(cur, nex, incstack[nex], low[nex], stack);
								if(incstack[nex])low[cur] = Math.min(low[cur], low[nex]);
								ind[sp-1]++;
							}
						}else{
							if(ord[cur] == low[cur]){
								while(csp > 0){
									incstack[cstack[csp-1]] = false;
									clus[cstack[--csp]] = cid;
									if(cstack[csp] == cur)break;
								}
								cid++;
							}
							if(--sp >= 1)low[stack[sp-1]] = Math.min(low[stack[sp-1]], low[stack[sp]]);
						}
					}
				}
			}
			return clus;
		}
	}


	public static void main(String[] args) {
		new O().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[] 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)); }
}
yukicoder

結果

テストケース

ソースコード
