結果

問題 No.641 Team Contest Estimation
ユーザー uwiuwi
提出日時 2018-01-26 23:45:25
言語 Java21
(openjdk 21)
結果
AC  
実行時間 145 ms / 2,000 ms
コード長 4,813 bytes
コンパイル時間 4,124 ms
コンパイル使用メモリ 83,368 KB
実行使用メモリ 52,836 KB
最終ジャッジ日時 2023-08-27 20:23:15
合計ジャッジ時間 5,915 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge15
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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 46 ms
49,764 KB
testcase_01 AC 45 ms
49,240 KB
testcase_02 AC 44 ms
49,544 KB
testcase_03 AC 44 ms
49,340 KB
testcase_04 AC 43 ms
49,352 KB
testcase_05 AC 139 ms
52,532 KB
testcase_06 AC 145 ms
52,496 KB
testcase_07 AC 143 ms
52,680 KB
testcase_08 AC 134 ms
52,836 KB
testcase_09 AC 46 ms
49,388 KB
testcase_10 AC 44 ms
47,356 KB
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ソースコード

diff # 

package contest180126;
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 E {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni(), K = ni();
		if(K == 0){
			out.println(0);
			out.println(0);
		}else{
			long[] a = new long[n];
			for(int i = 0;i < n;i++){
				a[i] = nl();
			}
			int[] cto = new int[K];
			for(int i = 0;i < n;i++){
				for(int j = 0;j < K;j++){
					if(a[i]<<~j<0)cto[j]++;
				}
			}
			// j k 
			// 2^(K-2)*2^j*2^k
			
			// E(x) = n/2*(2^k-1)
			// V = (n/2*(2^k-1))^2 - 2^k*(2^k-1)(2^(k+1)-1)/6*n
			// V = (2^k*(2^k-1)(2^(k+1)-1)/6*n/2^K - (n/2*(2^k-1))^2)*4^k
			// (4.5)^2-
			// 14*3/4
			int mod = 1000000009;
			long mu = K == 0 ? 0 : n*pow(2, K-1, mod) % mod * (pow(2, K, mod) - 1) % mod;
			out.println(mu);
			// 5/4 4 -> 13?
			long base = (pow(2, K, mod) - 1)
					 * (pow(2, K+1, mod) - 1) % mod * invl(6, mod) % mod * n % mod;
			long s = 0;
			for(int j = 0;j < K;j++){
				for(int k = j+1;k < K;k++){
					s += pow(2, j+k+K, mod);
				}
			}
			s %= mod;
			s = s * ((long)n*(n-1)/2%mod) % mod;
			
			long u = 0;
			for(int j = 0;j < K;j++){
				long num = ((long)cto[j]*(cto[j]-1)/2+(long)(n-cto[j])*(n-cto[j]-1)/2)%mod*pow(2, 2*j+K, mod);
				u += num;
				u %= mod;
			}
			long e2 = (base*pow(2, K, mod)+s + u)% mod;
			e2 = e2 * invl(pow(2, K, mod), mod) % mod;
			
			long ans= e2*pow(4, K, mod) - mu*mu;
			ans %= mod;
			if(ans < 0)ans += mod;
			out.println(ans);
		}
	}
	
	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 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;
	}


	
	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 E().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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