Submission #733113

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Source Code Expand

import static java.lang.Math.*;
import static java.util.Arrays.*;

import java.util.*;
import java.io.*;
import java.math.BigInteger;

import static java.math.BigInteger.*;

public class Main {
	static long gcd(long a, long b) {
		return b == 0 ? a : gcd(b, a % b);
	}
	void solve() {
		String[] s = sc.next().split("/");
		long X = Long.parseLong(s[0]);
		long Y = Long.parseLong(s[1]);
		{
			long g = gcd(X, Y);
			X /= g;
			Y /= g;
		}
		long N1 = Math.max(2 * X / Y -  2, 0);
		long N2 = (2 * X + Y - 1) / Y + 1;
		
		boolean found = false;
		for (long N = N1; N <= N2; N++) {
			long M = check(N, X, Y);
			if (M != -1) {
				out.println(N + " " + M);
				found = true;
			}
		}
		if (!found) {
			out.println("Impossible");
		}
	}
	
	long check(long N, long X, long Y) {
		BigInteger A = (valueOf(N+1).multiply(valueOf(Y)).subtract(valueOf(2*X))).multiply(valueOf(N));
		if (A.remainder(valueOf(2 * Y)).equals(ZERO)) {
			long M = A.divide(valueOf(2 * Y)).longValue();
			if (1 <= M && M <= N) return M;
			return -1;
		} else 
			return -1;
	}

	static void tr(Object... os) { System.err.println(deepToString(os)); }
	static void tr(int[][] as) { for (int[] a : as) tr(a); }

	void print(int[] a) {
		out.print(a[0]);
		for (int i = 1; i < a.length; i++) out.print(" " + a[i]);
		out.println();
	}

	public static void main(String[] args) throws Exception {
		new Main().run();
	}

	MyScanner sc = null;
	PrintWriter out = null;
	public void run() throws Exception {
		sc = new MyScanner(System.in);
		out = new PrintWriter(System.out);
		for (;sc.hasNext();) {
			solve();
			out.flush();
		}
		out.close();
	}

	class MyScanner {
		String line;
		BufferedReader reader;
		StringTokenizer tokenizer;

		public MyScanner(InputStream stream) {
			reader = new BufferedReader(new InputStreamReader(stream));
			tokenizer = null;
		}
		public void eat() {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					line = reader.readLine();
					if (line == null) {
						tokenizer = null;
						return;
					}
					tokenizer = new StringTokenizer(line);
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
		}
		public String next() {
			eat();
			return tokenizer.nextToken();
		}
		public String nextLine() {
			try {
				return reader.readLine();
			} catch (IOException e) {
				throw new RuntimeException(e);
			}
		}
		public boolean hasNext() {
			eat();
			return (tokenizer != null && tokenizer.hasMoreElements());
		}
		public int nextInt() {
			return Integer.parseInt(next());
		}
		public long nextLong() {
			return Long.parseLong(next());
		}
		public double nextDouble() {
			return Double.parseDouble(next());
		}
		public int[] nextIntArray(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++) a[i] = nextInt();
			return a;
		}
	}
}

Submission Info

Judge Result