結果

問題 No.3053 2.5 色で色塗り
ユーザー uwiuwi
提出日時 2019-04-02 19:48:39
言語 Java21
(openjdk 21)
結果
AC  
実行時間 724 ms / 2,000 ms
コード長 4,140 bytes
コンパイル時間 4,297 ms
コンパイル使用メモリ 86,328 KB
実行使用メモリ 181,480 KB
最終ジャッジ日時 2024-05-08 00:46:36
合計ジャッジ時間 12,671 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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 493 ms
178,408 KB
testcase_01 AC 493 ms
181,436 KB
testcase_02 AC 496 ms
181,376 KB
testcase_03 AC 491 ms
178,084 KB
testcase_04 AC 491 ms
181,048 KB
testcase_05 AC 496 ms
181,000 KB
testcase_06 AC 492 ms
181,072 KB
testcase_07 AC 495 ms
181,352 KB
testcase_08 AC 533 ms
181,336 KB
testcase_09 AC 724 ms
181,480 KB
testcase_10 AC 496 ms
181,256 KB
testcase_11 AC 633 ms
181,324 KB
testcase_12 AC 720 ms
181,336 KB
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ソースコード

diff # 

package af2019;
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 N3053 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int mod = 1000000007;
		int n = ni(), m = ni();
		int[][] S = stirlingNumberOfTheSecondKind(5111, 5111, mod);
		long x = invl(2, mod) * 5 % mod;
		long ans = 0;
		for(int k = 0;k <= m;k++) {
			long v = S[m][k];
			for(int j = 0;j < k;j++) {
				v = v * (x-j) % mod;
			}
			v = v * pow(x+mod-k, n, mod) % mod;
			ans += v;
		}
		out.println(ans%mod);
	}
	
	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;
	}

	
	public static int[][] stirlingNumberOfTheSecondKind(int n, int m, int mod)
	{
		int[][] dp = new int[n+1][m+1];
		dp[0][0] = 1;
		for(int i = 1;i <= n;i++){
			for(int j = 1;j <= m;j++){
				dp[i][j] = (int)(((long)j*dp[i-1][j]+dp[i-1][j-1])%mod);
			}
		}
		return dp;
	}
	
	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 N3053().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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