結果

問題 No.770 Median Sequence
ユーザー uwiuwi
提出日時 2018-12-18 07:49:47
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,117 ms / 2,000 ms
コード長 4,938 bytes
コンパイル時間 3,759 ms
コンパイル使用メモリ 87,488 KB
実行使用メモリ 369,316 KB
最終ジャッジ日時 2023-10-25 23:36:17
合計ジャッジ時間 14,812 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge11
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 212 ms
194,564 KB
testcase_01 AC 213 ms
194,564 KB
testcase_02 AC 215 ms
194,564 KB
testcase_03 AC 214 ms
194,580 KB
testcase_04 AC 215 ms
194,568 KB
testcase_05 AC 215 ms
194,672 KB
testcase_06 AC 218 ms
194,804 KB
testcase_07 AC 215 ms
194,796 KB
testcase_08 AC 314 ms
196,284 KB
testcase_09 AC 405 ms
239,540 KB
testcase_10 AC 370 ms
198,188 KB
testcase_11 AC 315 ms
197,916 KB
testcase_12 AC 1,021 ms
369,096 KB
testcase_13 AC 691 ms
239,520 KB
testcase_14 AC 486 ms
236,908 KB
testcase_15 AC 861 ms
247,660 KB
testcase_16 AC 417 ms
236,600 KB
testcase_17 AC 1,117 ms
364,004 KB
testcase_18 AC 1,115 ms
368,920 KB
testcase_19 AC 1,080 ms
369,316 KB
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ソースコード

diff # 

package adv2018;
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 Day18_7 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int mod = 1000000007;
		long[][] C = new long[4000 + 1][4000 + 1];
		for (int i = 0; i <= 4000; i++) {
			C[i][0] = 1;
			for (int j = 1; j <= i; j++) {
				C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
				if (C[i][j] >= mod)
					C[i][j] -= mod;
			}
		}
		
		int n = ni()+1;
		
		long[][] dp = new long[n][n];
		for(int i = 0;i < n;i++){
			dp[0][i] = 1;
		}
//		dp[0][2] = 1;
		
		long[][] ep = new long[n][n+1];
		long[][] fp = new long[n][n+1];
		long[][] gp = new long[n][n+1];
		
		for(int i = 0;i < n;i++){
			if(i < n-1){
				for(int k = 0;k <= n;k++){
					fp[i+1][k] += fp[i][k];
					if(k-1 >= 0)fp[i+1][k-1] += fp[i][k];
					fp[i+1][k] %= mod;
					if(k-1 >= 0)fp[i+1][k-1] %= mod;
					
					gp[i+1][k] += gp[i][k];
				}
			}
			for(int k = 0;k < n;k++){
				ep[i][k] += fp[i][k];
				if(ep[i][k] >= mod)ep[i][k] -= mod;
				ep[i][k] += gp[i][k];
				if(ep[i][k] >= mod)ep[i][k] -= mod;
			}
			
			for(int k = 0;k < n;k++){
				if(k > 0){
					ep[i][k] += ep[i][k-1];
					if(ep[i][k] >= mod)ep[i][k] -= mod;
				}
				dp[i][k] += ep[i][k];
				dp[i][k] %= mod;
				if(dp[i][k] == 0)continue;
				
				if(n+i-k >= 0 && n+i-k < n && k+1 <= n){
					fp[n+i-k][k+1] += dp[i][k];
					if(fp[n+i-k][k+1] >= mod)fp[n+i-k][k+1] -= mod;
				}
				if(i+1 < n){
					gp[i+1][k+1] += dp[i][k];
					if(gp[i+1][k+1] >= mod)gp[i+1][k+1] -= mod;
				}
				int lim = Math.min(n, n-k+i);
				if(lim < n){
					gp[lim][k+1] -= dp[i][k];
					if(gp[lim][k+1] < 0)gp[lim][k+1] += mod;
				}
//					for(int j = i+1;j < n && j <= n-1-k+i;j++){
//						ep[j][k+1] += dp[i][k];
//						if(ep[j][k+1] >= mod)ep[j][k+1] -= mod;
//					}
			}
		}
		out.println(dp[n-1][n-1]);
	}
	
	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 Day18_7().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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