#96328 (Java21) No.377 背景パターン

提出ソース

結果

問題	No.377 背景パターン
ユーザー	uwi
提出日時	2016-06-05 15:19:33
言語	Java21 (openjdk 21)
結果	AC
実行時間	384 ms / 5,000 ms
コード長	8,022 bytes
コンパイル時間	4,262 ms
コンパイル使用メモリ	86,592 KB
実行使用メモリ	40,408 KB
最終ジャッジ日時	2024-10-08 15:41:48
合計ジャッジ時間	6,962 ms
ジャッジサーバーID （参考情報）	judge5 / 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	54 ms 36,664 KB
testcase_01	AC	57 ms 36,756 KB
testcase_02	AC	53 ms 36,732 KB
testcase_03	AC	54 ms 36,716 KB
testcase_04	AC	51 ms 36,648 KB
testcase_05	AC	52 ms 36,620 KB
testcase_06	AC	52 ms 36,564 KB
testcase_07	AC	52 ms 36,712 KB
testcase_08	AC	53 ms 36,712 KB
testcase_09	AC	53 ms 36,632 KB
testcase_10	AC	53 ms 36,600 KB
testcase_11	AC	52 ms 36,248 KB
testcase_12	AC	52 ms 36,924 KB
testcase_13	AC	59 ms 36,572 KB
testcase_14	AC	59 ms 37,044 KB
testcase_15	AC	55 ms 36,708 KB
testcase_16	AC	384 ms 40,408 KB
testcase_17	AC	374 ms 39,752 KB
testcase_18	AC	55 ms 36,288 KB

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ソースコード

raw source code

package q5xx;

import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class Q561_3 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	// 10^9:1344
	// 2^31:1600
	int[] divs(int n)
	{
		int[] high = new int[1344];
		int[] low = new int[1344];
		int p = 0, q = 0;
		for(int i = 1;i*i <= n;i++){
			if(n % i == 0){
				low[p++] = i;
				if(i*i < n)high[q++] = n/i;
			}
		}
		while(q-1 >= 0){
			low[p++] = high[q-1];
			q--;
		}
		return Arrays.copyOf(low, p);
	}
	
	void solve()
	{
		int h = ni(), w = ni(), K = ni();
		int[] dhs = divs(h);
		int[] dws = divs(w);
		int mod = 1000000007;
		int[] numhs = new int[dhs.length];
		for(int i = dhs.length-1;i >= 0;i--){
			numhs[i] = h/dhs[i];
			for(int j = i+1;j < dhs.length;j++){
				if(dhs[j] % dhs[i] == 0){
					numhs[i] -= numhs[j];
				}
			}
		}
		int[] numws = new int[dws.length];
		for(int i = dws.length-1;i >= 0;i--){
			numws[i] = w/dws[i];
			for(int j = i+1;j < dws.length;j++){
				if(dws[j] % dws[i] == 0){
					numws[i] -= numws[j];
				}
			}
		}
		long ret = 0;
		long big = 8L*mod*mod;
		for(int i = 0;i < dhs.length;i++){
			for(int j = 0;j < dws.length;j++){
				long x = h/dhs[i];
				long y = w/dws[j];
				long z = x*(y/gcd(x,y));
				long key = (long)h*w/z;
				if(!cache.containsKey(key)){
					cache.put(key, pow(K, (long)h*w/z, mod));
				}
				ret += cache.get(key) * numhs[i] % mod * numws[j];
				if(ret >= big)ret -= big;
			}
		}
		ret = ret % mod * invl(h, mod) % mod * invl(w, mod) % mod;
		out.println(ret);
	}
	
	
	
	static LongHashCounterL cache = new LongHashCounterL();
	
	public static long gcd(long a, long b) {
		while (b > 0) {
			long c = a;
			a = b;
			b = c % b;
		}
		return a;
	}
	
	
	public static long invl(long a, long mod) {
		long b = mod;
		long p = 1, q = 0;
		while (b > 0) {
			long c = a / b;
			long d;
			d = a;
			a = b;
			b = d % b;
			d = p;
			p = q;
			q = d - c * q;
		}
		return p < 0 ? p + mod : p;
	}

	
	public static long pow(long a, long n, long mod) {
		//		a %= mod;
		long ret = 1;
		int x = 63 - Long.numberOfLeadingZeros(n);
		for (; x >= 0; x--) {
			ret = ret * ret % mod;
			if (n << 63 - x < 0)
				ret = ret * a % mod;
		}
		return ret;
	}

	
	public static class LongHashCounterL {
		public long[] keys;
		public long[] allocated;
		private int scale = 1<<2;
		private int rscale = 1<<1;
		private int mask = scale-1;
		public int size = 0;
		
		public LongHashCounterL(){
			allocated = new long[scale];
			keys = new long[scale];
		}
		
		public boolean containsKey(long x)
		{
			int pos = h(x)&mask;
			while(allocated[pos] != 0){
				if(x == keys[pos])return true;
				pos = pos+1&mask;
			}
			return false;
		}
		
		public long get(long x)
		{
			int pos = h(x)&mask;
			while(allocated[pos] != 0){
				if(x == keys[pos])return allocated[pos];
				pos = pos+1&mask;
			}
			return 0;
		}
		
		public long inc(long x, long v)
		{
			int pos = h(x)&mask;
			while(allocated[pos] != 0){
				if(x == keys[pos]){
					allocated[pos] += v;
					return allocated[pos];
				}
				pos = pos+1&mask;
			}
			if(size == rscale){
				resizeAndPut(x, v);
			}else{
				keys[pos] = x;
				allocated[pos] = v;
			}
			size++;
			return v;
		}
		
		public long put(long x, long v)
		{
			int pos = h(x)&mask;
			while(allocated[pos] != 0){
				if(x == keys[pos]){
					long oldval = allocated[pos];
					allocated[pos] = v;
					return oldval;
				}
				pos = pos+1&mask;
			}
			if(size == rscale){
				resizeAndPut(x, v);
			}else{
				keys[pos] = x;
				allocated[pos] = v;
			}
			size++;
			return 0;
		}
		
		public boolean remove(long x)
		{
			int pos = h(x)&mask;
			while(allocated[pos] != 0){
				if(x == keys[pos]){
					size--;
					// take last and fill rmpos
					int last = pos;
					pos = pos+1&mask;
					while(allocated[pos] != 0){
						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];
							allocated[last] = allocated[pos];
							last = pos;
						}
						pos = pos+1&mask;
					}
					keys[last] = 0;
					allocated[last] = 0;
					
					return true;
				}
				pos = pos+1&mask;
			}
			return false;
		}
		
		private void resizeAndPut(long x, long v)
		{
			int nscale = scale<<1;
			int nrscale = rscale<<1;
			int nmask = nscale-1;
			long[] nallocated = new long[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] != 0)pos = pos+1&nmask;
				nkeys[pos] = y;
				nallocated[pos] = allocated[i];
			}
			{
				int pos = h(x)&nmask;
				while(nallocated[pos] != 0)pos = pos+1&nmask;
				nkeys[pos] = x;
				nallocated[pos] = v;
			}
			allocated = nallocated;
			keys = nkeys;
			scale = nscale;
			rscale = nrscale;
			mask = nmask;
		}
		
		public int next(int itr)
		{
			while(itr < scale && allocated[itr] == 0)itr++;
			return itr;
		}
		
		private int h(long x)
		{
			x ^= x>>>33;
			x *= 0xff51afd7ed558ccdL;
			x ^= x>>>33;
			x *= 0xc4ceb9fe1a85ec53L;
			x ^= x>>>33;
			return (int)x;
		}
		
		@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] + ":" + allocated[i]);
			}
			return sb.length() == 0 ? "" : sb.substring(1);
		}
	}
	
	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");
	}
	
	public static void main(String[] args) throws Exception { new Q561_3().run(); }
	
	private byte[] inbuf = new byte[1024];
	private 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 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 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();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}

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結果

テストケース

ソースコード