結果

問題 No.186 中華風 (Easy)
ユーザー uwi
提出日時 2015-04-19 23:27:07
言語 Java
(openjdk 23)
結果
AC  
実行時間 54 ms / 2,000 ms
コード長 4,266 bytes
コンパイル時間 5,616 ms
コンパイル使用メモリ 83,488 KB
実行使用メモリ 37,040 KB
最終ジャッジ日時 2024-07-19 18:22:38
合計ジャッジ時間 6,117 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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ファイルパターン 結果
other AC * 23
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 contest;

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 Q447 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		long x1 = ni(), y1 = ni();
		long x2 = ni(), y2 = ni();
		long x3 = ni(), y3 = ni();
		
		long x12 = crt(y1, x1, y2, x2);
		if(x12 == -1){
			out.println(-1);
			return;
		}
		long y12 = y1/gcd(y1,y2)*y2;
		
		long ret = crt(y12, x12, y3, x3);
		if(ret == -1){
			out.println(-1);
			return;
		}
		long y123 = y12/gcd(y12,y3)*y3;
		if(ret == 0)ret += y123;
		out.println(ret);
	}
	
	public static long gcd(long a, long b) {
		while (b > 0) {
			long c = a;
			a = b;
			b = c % b;
		}
		return a;
	}
	
	
	public static long crt(long p, long m, long q, long n)
	{
		long[] apr = exgcd(p, q);
		if((n - m) % apr[0] != 0)return -1;
		long mod = p * (q / apr[0]);
		long a = (mul(mul(apr[1], (n-m)/apr[0], mod), p, mod) + m) % mod;
		if(a < 0)a += mod;
		return a;
	}
	
	public static long[] exgcd(long a, long b)
	{
		if(a == 0 || b == 0)return null;
		int as = Long.signum(a);
		int bs = Long.signum(b);
		a = Math.abs(a); b = Math.abs(b);
		long p = 1, q = 0, r = 0, s = 1;
		while(b > 0){
			long c = a / b;
			long d;
			d = a; a = b; b = d % b;
			d = p; p = q; q = d - c * q;
			d = r; r = s; s = d - c * s;
		}
		return new long[]{a, p * as, r * bs};
	}

	
	public static long mul(long a, long b, long mod)
	{
		a %= mod; if(a < 0)a += mod;
		b %= mod; if(b < 0)b += mod;
		long ret = 0;
		int x = 63-Long.numberOfLeadingZeros(b);
		for(;x >= 0;x--){
			ret += ret;
			if(ret >= mod)ret -= mod;
			if(b<<~x<0){
				ret += a;
				if(ret >= mod)ret -= 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");
	}
	
	public static void main(String[] args) throws Exception { new Q447().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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