結果

問題 No.3024 等式
ユーザー uwiuwi
提出日時 2017-03-31 22:53:15
言語 Java21
(openjdk 21)
結果
AC  
実行時間 2,315 ms / 5,000 ms
コード長 8,512 bytes
コンパイル時間 4,240 ms
コンパイル使用メモリ 92,752 KB
実行使用メモリ 278,184 KB
最終ジャッジ日時 2023-09-12 16:17:46
合計ジャッジ時間 14,448 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge15
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 51 ms
49,868 KB
testcase_01 AC 52 ms
49,988 KB
testcase_02 AC 54 ms
50,100 KB
testcase_03 AC 54 ms
50,024 KB
testcase_04 AC 55 ms
50,124 KB
testcase_05 AC 54 ms
50,104 KB
testcase_06 AC 80 ms
52,204 KB
testcase_07 AC 79 ms
51,520 KB
testcase_08 AC 80 ms
51,812 KB
testcase_09 AC 80 ms
52,388 KB
testcase_10 AC 77 ms
51,460 KB
testcase_11 AC 78 ms
51,836 KB
testcase_12 AC 180 ms
58,516 KB
testcase_13 AC 176 ms
58,472 KB
testcase_14 AC 205 ms
61,228 KB
testcase_15 AC 199 ms
59,312 KB
testcase_16 AC 182 ms
58,112 KB
testcase_17 AC 159 ms
56,520 KB
testcase_18 AC 1,614 ms
210,964 KB
testcase_19 AC 1,604 ms
203,436 KB
testcase_20 AC 2,315 ms
278,184 KB
testcase_21 AC 80 ms
52,056 KB
testcase_22 AC 1,732 ms
241,268 KB
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ソースコード

diff # 

package contest170331;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
import java.util.List;

public class F2 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void add(List<long[]> res, LongHashSet cache, long[] f)
	{
		long h = f[0]*1000000009 + f[1];
		if(!cache.add(h))return;
		res.add(f);
	}
	
	void solve()
	{
		int n = ni();
		int[] a = na(n);
		List<List<long[]>> dp = new ArrayList<>();
		dp.add(new ArrayList<>());
		for(int i = 1;i < (1<<n)-1;i++){
			List<long[]> res = new ArrayList<>();
			if(Integer.bitCount(i) == 1){
				res.add(new long[]{a[Integer.numberOfTrailingZeros(i)], 1});
			}else{
				LongHashSet cache = new LongHashSet();
				for(int j = 1;j < i;j++){
					if((i&j) == j){
						int k = i^j;
						// j,k
						for(long[] s : dp.get(j)){
							for(long[] t : dp.get(k)){
								if(j < k){
									add(res, cache, add(s, t));
									add(res, cache, sub(s, t));
									add(res, cache, mul(s, t));
								}
								if(t[0] != 0)add(res, cache, div(s, t));
//								res.add(add(s, t));
//								res.add(sub(s, t));
//								res.add(mul(s, t));
//								if(t[0] != 0){
//									res.add(div(s, t));
//								}
							}
						}
					}
				}
//				tr(i, res.size());
			}
			dp.add(res);
		}
		for(int i = 1;i < (1<<n)-1;i++){
			for(int j = i+1;j < (1<<n)-1;j++){
				if((i&j) == 0){
					for(long[] s : dp.get(i)){
						for(long[] t : dp.get(j)){
							if(Arrays.equals(s, t)){
								out.println("YES");
								return;
							}
						}
					}
				}
			}
		}
		out.println("NO");
	}
	
	public class LongHashSet {
		public long[] keys;
		public boolean[] allocated;
		private int scale = 1<<2;
		private int rscale = 1<<1;
		private int mask = scale-1;
		public int size = 0;
		
		public LongHashSet(){
			allocated = new boolean[scale];
			keys = new long[scale];
		}
		
		public boolean contains(long x)
		{
			int pos = h(x)&mask;
			while(allocated[pos]){
				if(x == keys[pos])return true;
				pos = pos+1&mask;
			}
			return false;
		}
		
		public boolean add(long x)
		{
			int pos = h(x)&mask;
			while(allocated[pos]){
				if(x == keys[pos])return false;
				pos = pos+1&mask;
			}
			if(size == rscale){
				resizeAndAdd(x);
			}else{
				keys[pos] = x;
				allocated[pos] = true;
			}
			size++;
			return true;
		}
		
		public boolean remove(long x)
		{
			int pos = h(x)&mask;
			while(allocated[pos]){
				if(x == keys[pos]){
					size--;
					// take last and fill rmpos
					int last = pos;
					pos = pos+1&mask;
					while(allocated[pos]){
						int lh = h(keys[pos])&mask;
						// lh <= last < pos
						if(
								lh <= last && last < pos ||
								pos < lh && lh <= last ||
								last < pos && pos < lh
								){
							keys[last] = keys[pos];
							last = pos;
						}
						pos = pos+1&mask;
					}
					keys[last] = 0;
					allocated[last] = false;
					
					return true;
				}
				pos = pos+1&mask;
			}
			return false;
		}
		
		private void resizeAndAdd(long x)
		{
			int nscale = scale<<1;
			int nrscale = rscale<<1;
			int nmask = nscale-1;
			boolean[] nallocated = new boolean[nscale];
			long[] nkeys = new long[nscale];
			for(int i = next(0);i < scale;i = next(i+1)){
				long y = keys[i];
				int pos = h(y)&nmask;
				while(nallocated[pos])pos = pos+1&nmask;
				nkeys[pos] = y;
				nallocated[pos] = true;
			}
			{
				int pos = h(x)&nmask;
				while(nallocated[pos])pos = pos+1&nmask;
				nkeys[pos] = x;
				nallocated[pos] = true;
			}
			allocated = nallocated;
			keys = nkeys;
			scale = nscale;
			rscale = nrscale;
			mask = nmask;
		}
		
		public int next(int itr)
		{
			while(itr < scale && !allocated[itr])itr++;
			return itr;
		}
		
		
//		public int h(int x)
//		{
//			x ^= x>>>16;
//			x *= 0x85ebca6b;
//			x ^= x>>>13;
//			x *= 0xc2b2ae35;
//			x ^= x>>>16;
//			return x;
//		}
		
		private int h(long x)
		{
			x ^= x>>>33;
			x *= 0xff51afd7ed558ccdL;
			x ^= x>>>33;
			x *= 0xc4ceb9fe1a85ec53L;
			x ^= x>>>33;
			return (int)(x^x>>>32);
		}
		
		@Override
		public String toString()
		{
			StringBuilder sb = new StringBuilder();
			for(int i = next(0);i < scale;i = next(i+1)){
				sb.append(",");
				sb.append(keys[i]);
			}
			return sb.length() == 0 ? "" : sb.substring(1);
		}
	}
	
	public static long[] reduce(long[] f)
	{
		if(f[1] == 0) { // n/0
			f[0] = 1;
		}else if(f[0] == 0) { // 0/n
			f[1] = 1;
		}else {
			if(f[1] < 0) { // -a/-b ->a/b
				f[0] = -f[0];
				f[1] = -f[1];
			}
			long a = Math.abs(f[0]), b = f[1];
			while (b > 0) {
				long c = a;
				a = b;
				b = c % b;
			}
			f[0] /= a;
			f[1] /= a;
		}
		return f;
	}
	
	public static long[] add(long[] a, long[] b){ return reduce(new long[]{a[0]*b[1]+a[1]*b[0], a[1]*b[1]}); }
	public static long[] sub(long[] a, long[] b){ return reduce(new long[]{a[0]*b[1]-a[1]*b[0], a[1]*b[1]}); }
	public static long[] mul(long[] a, long[] b){ return reduce(new long[]{a[0]*b[0], a[1]*b[1]}); }
	public static long[] div(long[] a, long[] b){ return reduce(new long[]{a[0]*b[1], a[1]*b[0]}); }
		
	public static int compare(long[] a, long[] b){return Long.signum(a[0] * b[1] - a[1] * b[0]);}
	
	public static long[] min(long[] a, long[] b){ return compare(a, b) <= 0 ? a : b; }
	public static long[] max(long[] a, long[] b){ return compare(a, b) >= 0 ? a : b; }
	
	public static int lowerBound(long[][] es, int p, long[] r)
	{
		int low = -1, high = p;
		while(high-low > 1){
			int h = high+low>>>1;
			if(Long.compare(r[0]*es[h][1], r[1]*es[h][0]) <= 0){
				high = h;
			}else{
				low = h;
			}
		}
		return high;
	}
	
	public static Comparator<long[]> comp = (a, b) -> Long.signum(a[0]*b[1]-a[1]*b[0]);

	
	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");
//		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();
	}
	
	public static void main(String[] args) throws Exception { new F2().run(); }
	
	private 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 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 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 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 ni() { return (int)nl(); }
	
	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)); }
}
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