結果

問題 No.217 魔方陣を作ろう
コンテスト
ユーザー uwi
提出日時 2015-07-10 01:27:41
言語 Java
(openjdk 23)
結果
AC  
実行時間 76 ms / 5,000 ms
コード長 4,872 bytes
コンパイル時間 3,751 ms
コンパイル使用メモリ 84,416 KB
実行使用メモリ 51,204 KB
最終ジャッジ日時 2024-07-08 01:51:12
合計ジャッジ時間 6,155 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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ファイルパターン 結果
other AC * 18
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ソースコード

diff # 

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 Q557 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int[][] a = constructMagicSquare(n);
		for(int i = 0;i < n;i++){
			for(int j = 0;j < n;j++){
				out.print(a[i][j] + " ");
			}
			out.println();
		}
	}
	
	public static int[][] constructMagicSquare(int n)
	{
		if(n < 0)throw new RuntimeException();
		if(n % 4 == 0){
			// 4m
			return constructX4(n);
		}else if(n % 2 == 1){
			// 2m+1
			return constructBySiameseMethod(n);
		}else{
			// 4m+2
			return constructByLUXMethod(constructBySiameseMethod(n/2));
		}
	}
	
	public static int[][] constructX4(int n)
	{
		if(n < 0 || n % 4 != 0)throw new RuntimeException();
		int[][] ret = new int[n][n];
		for(int i = 0;i < n;i++){
			for(int j = 0;j < n;j++){
				int p = (i^j)&3;
				if(p == 0 || p == 3){
					ret[i][j] = i*n+j+1;
				}else{
					ret[i][j] = n*n-(i*n+j);
				}
			}
		}
		return ret;
	}
	
	public static int[][] constructByLUXMethod(int[][] a)
	{
		int n = a.length;
		if(n <= 0 || n % 2 == 0)throw new RuntimeException();
		int[][] ret = new int[2*n][2*n];
		for(int i = 0;i < n;i++){
			for(int j = 0;j < n;j++){
				int base = a[i][j]-1<<2;
				if(i > n/2+1){
					// X
					ret[i*2][j*2] = base + 1;
					ret[i*2][j*2+1] = base + 4;
					ret[i*2+1][j*2] = base + 3;
					ret[i*2+1][j*2+1] = base + 2;
				}else if(j != n/2 && i <= n/2 || j == n/2 && i <= n/2+1 && i != n/2){
					// L
					ret[i*2][j*2] = base + 4;
					ret[i*2][j*2+1] = base + 1;
					ret[i*2+1][j*2] = base + 2;
					ret[i*2+1][j*2+1] = base + 3;
				}else{
					// U
					ret[i*2][j*2] = base + 1;
					ret[i*2][j*2+1] = base + 4;
					ret[i*2+1][j*2] = base + 2;
					ret[i*2+1][j*2+1] = base + 3;
				}
			}
		}
		return ret;
	}
	
	// val(i,j)=n*((i+j+1+n/2))%n)+(i+2*j+1)%n+1 TODO
	public static int[][] constructBySiameseMethod(int n)
	{
		if(n <= 0 || n % 2 == 0)throw new RuntimeException();
		int[][] ret = new int[n][n];
		int r = 0, c = n/2;
		for(int i = 1;i <= n*n;i++){
			ret[r][c] = i;
			int nr = r-1, nc = c+1;
			if(nr < 0)nr += n;
			if(nc >= n)nc -= n;
			if(ret[nr][nc] != 0){
				nr = r+1; nc = c;
				if(nr >= n)nr -= n;
			}
			r = nr; c = nc;
		}
		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");
	}
	
	public static void main(String[] args) throws Exception { new Q557().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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