Problem:
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Problem Statement

We can describe detailed direction by repeating the directional names: north, south, east and west. For example, northwest is the direction halfway between north and west, and northnorthwest is between north and northwest.

In this problem, we describe more detailed direction between north and west as follows.

"north" means $0$ degrees.

"west" means $90$ degrees.

If the direction $dir$ means $a$ degrees and the sum of the occurrences of "north" and "west" in $dir$ is $n$ ($\geq$ 1),
"north"$dir$ (the concatenation of "north" and $dir$) means $a - \frac{90}{2^n}$ degrees and "west"$dir$ means $a + \frac{90}{2^n}$ degrees.

Your task is to calculate the angle in degrees described by the given direction.

Input

The input contains several datasets. The number of datasets does not exceed $100$.

Each dataset is described by a single line that contains a string denoting a direction.
You may assume the given string can be obtained by concatenating some "north" and "west",
the sum of the occurrences of "north" and "west" in the given string is between $1$ and $20$, inclusive,
and the angle denoted by the given direction is between $0$ and $90$, inclusive.
The final dataset is followed by a single line containing only a single "#".

Output

For each dataset, print an integer if the angle described by the given direction can be represented as an integer, otherwise print it as an irreducible fraction. Follow the format of the sample output.

Sample Input

north
west
northwest
northnorthwest
westwestwestnorth
#

Output for the Sample Input

0
90
45
45/2
315/4

Solution in JAVA (judge verdict: Wrong Answer)

import java.util.Arrays;
import java.util.Scanner;

public class Main {
	MyScanner sc = new MyScanner();
	Scanner sc2 = new Scanner(System.in);
	final int MOD = 1000000007;
	int[] dx = { 1, 0, 0, -1 };
	int[] dy = { 0, 1, -1, 0 };

	void run() {
		for (;;) {
			String in = sc.next();
			if (in.equals("#")) {
				return;
			}
			int ncnt = 0;
			int wcnt = 0;
			for (int i = 0; i < in.length(); i++) {
				if (in.charAt(i) == 'n') {
					ncnt++;
					i += 4;
				} else {
					wcnt++;
					i += 3;
				}
			}

			int ang = 0;
			if (ncnt == 0) {
				ang = 90;
			} else if (wcnt == 0) {
				ang = 0;
			} else if (ncnt == wcnt) {
				ang = 45;
			} else {
				int mother = (int) Math.pow(2, ncnt + wcnt - 1);
				int m = 90;
				if (wcnt > ncnt) {
					int def = mother * m;
					def -= m;
					for (int i = mother; i >= 1; i--) {
						if (def % i == 0 && mother % i == 0) {
							System.out.println((def / i) + "/" + (mother / i));
							break;
						}
					}

				} else {
					for (int i = mother; i >= 1; i--) {
						if (m % i == 0 && mother % i == 0) {
							System.out.println((m / i) + "/" + (mother / i));
							break;
						}
					}
				}
				continue;
			}
			System.out.println(ang);
		}
	}

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

	void debug(Object... o) {
		System.out.println(Arrays.deepToString(o));
	}

	void debug2(int[][] array) {
		for (int i = 0; i < array.length; i++) {
			for (int j = 0; j < array[i].length; j++) {
				System.out.print(array[i][j]);
			}
			System.out.println();
		}
	}

	boolean inner(int h, int w, int lim) {
		return 0 <= h && h < lim && 0 <= w && w < lim;
	}

	void swap(int[] x, int a, int b) {
		int tmp = x[a];
		x[a] = x[b];
		x[b] = tmp;
	}

	// find minimum i (a[i] >= border)
	int lower_bound(int a[], int border) {
		int l = -1;
		int r = a.length;

		while (r - l > 1) {
			int mid = (l + r) / 2;
			if (border <= a[mid]) {
				r = mid;
			} else {
				l = mid;
			}
		}
		// r = l + 1
		return r;
	}

	class MyScanner {
		int nextInt() {
			try {
				int c = System.in.read();
				while (c != '-' && (c < '0' || '9' < c))
					c = System.in.read();
				if (c == '-')
					return -nextInt();
				int res = 0;
				do {
					res *= 10;
					res += c - '0';
					c = System.in.read();
				} while ('0' <= c && c <= '9');
				return res;
			} catch (Exception e) {
				return -1;
			}
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		long nextLong() {
			return Long.parseLong(next());
		}

		String next() {
			try {
				StringBuilder res = new StringBuilder("");
				int c = System.in.read();
				while (Character.isWhitespace(c))
					c = System.in.read();
				do {
					res.append((char) c);
				} while (!Character.isWhitespace(c = System.in.read()));
				return res.toString();
			} catch (Exception e) {
				return null;
			}
		}

		int[] nextIntArray(int n) {
			int[] in = new int[n];
			for (int i = 0; i < n; i++) {
				in[i] = nextInt();
			}
			return in;
		}

		int[][] nextInt2dArray(int n, int m) {
			int[][] in = new int[n][m];
			for (int i = 0; i < n; i++) {
				in[i] = nextIntArray(m);
			}
			return in;
		}

		double[] nextDoubleArray(int n) {
			double[] in = new double[n];
			for (int i = 0; i < n; i++) {
				in[i] = nextDouble();
			}
			return in;
		}

		long[] nextLongArray(int n) {
			long[] in = new long[n];
			for (int i = 0; i < n; i++) {
				in[i] = nextLong();
			}
			return in;
		}
	}
}