結果

問題 No.986 Present
ユーザー uwiuwi
提出日時 2020-02-11 18:53:33
言語 Java21
(openjdk 21)
結果
AC  
実行時間 112 ms / 2,000 ms
コード長 4,223 bytes
コンパイル時間 3,853 ms
コンパイル使用メモリ 81,296 KB
実行使用メモリ 56,056 KB
最終ジャッジ日時 2024-04-08 15:44:36
合計ジャッジ時間 7,757 ms
ジャッジサーバーID
(参考情報)
judge13 / judge15
このコードへのチャレンジ
(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 71 ms
54,632 KB
testcase_01 AC 70 ms
54,632 KB
testcase_02 AC 71 ms
54,636 KB
testcase_03 AC 89 ms
53,324 KB
testcase_04 AC 75 ms
54,624 KB
testcase_05 AC 88 ms
55,268 KB
testcase_06 AC 91 ms
55,656 KB
testcase_07 AC 71 ms
54,648 KB
testcase_08 AC 86 ms
55,572 KB
testcase_09 AC 96 ms
53,668 KB
testcase_10 AC 71 ms
54,632 KB
testcase_11 AC 89 ms
55,264 KB
testcase_12 AC 88 ms
55,272 KB
testcase_13 AC 70 ms
54,656 KB
testcase_14 AC 72 ms
54,632 KB
testcase_15 AC 111 ms
56,056 KB
testcase_16 AC 80 ms
54,624 KB
testcase_17 AC 96 ms
55,664 KB
testcase_18 AC 98 ms
56,036 KB
testcase_19 AC 90 ms
55,664 KB
testcase_20 AC 70 ms
54,612 KB
testcase_21 AC 107 ms
56,044 KB
testcase_22 AC 111 ms
56,048 KB
testcase_23 AC 86 ms
55,276 KB
testcase_24 AC 112 ms
56,048 KB
testcase_25 AC 80 ms
55,548 KB
testcase_26 AC 110 ms
56,040 KB
testcase_27 AC 95 ms
55,684 KB
testcase_28 AC 82 ms
54,632 KB
testcase_29 AC 81 ms
54,628 KB
testcase_30 AC 70 ms
54,624 KB
testcase_31 AC 80 ms
54,652 KB
testcase_32 AC 82 ms
54,628 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

package contest200211;
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 EX {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni(), m = ni();
		int mod = 998244353;
		long[] p2 = enumPows(2, m, mod);
		out.print(p2[n] + " ");
		long val = 1;
		for(int i = 0;i < n;i++) {
			val = val * (p2[m] - p2[i]) % mod;
		}
		if(val < 0)val += mod;
		long F = 1;
		for(int i = 1;i <= n;i++) {
			F = F * i % mod;
		}
		long oval = val;
		long IF = invl(F, mod);
		out.print(val*IF%mod + " ");
		
		val = 1;
		for(int i = 0;i < n;i++) {
			val = val * (p2[n] - p2[i]) % mod;
		}
		if(val < 0)val += mod;
		
		out.println(oval*invl(val, mod)%mod);
	}
	
	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[] enumPows(int a, int n, int mod)
	{
		a %= mod;
		long[] pows = new long[n+1];
		pows[0] = 1;
		for(int i = 1;i <= n;i++)pows[i] = pows[i-1] * a % mod;
		return pows;
	}

	
	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;
	}

	
	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 EX().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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