import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.NoSuchElementException;

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

	boolean[][] win;
	long[] cnt = new long[16];

	void run() {
		Scanner sc = new Scanner();
		win = new boolean[16][16];
		for (int i = 0; i < win.length; ++i) {
			for (int j = 0; j < win[i].length; ++j) {
				win[i][j] = (sc.nextInt() == 1);
			}
		}
		for (int i = 0; i < win.length; ++i) {
			for (int j = 0; j < win[i].length; ++j) {
				if (i > j) {
					win[i][j] = !win[j][i];
				}
			}
		}
		PrintWriter pw = new PrintWriter(System.out);
		long[][] dp = new long[16][1 << 16];
		ArrayList<Integer>[] list = new ArrayList[16];
		for (int i = 0; i < 5; ++i) {
			list[i] = new ArrayList<Integer>();
		}
		boolean[] add = new boolean[1 << 16];
		for (int i = 0; i < 16; ++i) {
			dp[i][1 << i] = 1;
			list[0].add(1 << i);
			add[1 << i] = true;
		}
		for (int i = 0; i < 4; ++i) {
			for (int j = 0; j < list[i].size(); ++j) {
				for (int k = j + 1; k < list[i].size(); ++k) {
					int s1 = list[i].get(j);
					int s2 = list[i].get(k);
					if ((s1 & s2) > 0) {
						continue;
					}
					for (int a = 0; a < 16; ++a) {
						if (((1 << a) & s1) == 0)
							continue;
						for (int b = 0; b < 16; ++b) {
							if (((1 << b) & s2) == 0)
								continue;
							int whowin = win[a][b] ? a : b;
							dp[whowin][s1 | s2] = dp[whowin][s1 | s2] + dp[a][s1] * dp[b][s2];
							if (!add[s1 | s2]) {
								list[i + 1].add(s1 | s2);
								add[s1 | s2] = true;
							}
						}
					}
				}
			}
		}
		for (int i = 0; i < 16; ++i) {
			System.out.println(dp[i][(1 << 16) - 1] * (1 << 15));
		}

		pw.close();
	}

	static long gcd(long a, long b) {
		if (a > b)
			return gcd(b, a);
		if (a == 0)
			return b;
		return gcd(b % a, a);
	}

	static class Scanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;

		private boolean hasNextByte() {
			if (ptr < buflen) {
				return true;
			} else {
				ptr = 0;
				try {
					buflen = in.read(buffer);
				} catch (IOException e) {
					e.printStackTrace();
				}
				if (buflen <= 0) {
					return false;
				}
			}
			return true;
		}

		private int readByte() {
			if (hasNextByte())
				return buffer[ptr++];
			else
				return -1;
		}

		private boolean isPrintableChar(int c) {
			return 33 <= c && c <= 126;
		}

		private void skipUnprintable() {
			while (hasNextByte() && !isPrintableChar(buffer[ptr]))
				ptr++;
		}

		public boolean hasNext() {
			skipUnprintable();
			return hasNextByte();
		}

		public String next() {
			if (!hasNext())
				throw new NoSuchElementException();
			StringBuilder sb = new StringBuilder();
			int b = readByte();
			while (isPrintableChar(b)) {
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}

		public long nextLong() {
			if (!hasNext())
				throw new NoSuchElementException();
			long n = 0;
			boolean minus = false;
			int b = readByte();
			if (b == '-') {
				minus = true;
				b = readByte();
			}
			if (b < '0' || '9' < b) {
				throw new NumberFormatException();
			}
			while (true) {
				if ('0' <= b && b <= '9') {
					n *= 10;
					n += b - '0';
				} else if (b == -1 || !isPrintableChar(b)) {
					return minus ? -n : n;
				} else {
					throw new NumberFormatException();
				}
				b = readByte();
			}
		}

		public int nextInt() {
			return (int) nextLong();
		}
	}

	public static void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}
}