import java.io.*;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.InputMismatchException;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class MaximumClique_lewin {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        MaximumClique solver = new MaximumClique();
        solver.solve(1, in, out);
        out.close();
    }

    static class MaximumClique {
        public int mod = 1000000007;
        public int[][] comb;

        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int n = in.nextInt();
            int c = 300;
            if (n == 1) {
                out.println(1);
                return;
            }
            comb = Utils.getComb(n + 1, mod);
            int[][] color = new int[n][n];
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < n; j++) {
                    color[i][j] = in.nextInt();
                }
            }
            HashSet<Integer> active = IntStream.range(0, n).boxed().collect(Collectors.toCollection(HashSet::new));
            ArrayList<MaximumClique.Clique> cs = new ArrayList<>();
            while (active.size() > 0) {
                int cc = -1;
                HashSet<Integer> toRemove = new HashSet<>();
                for (int x : active) {
                    HashSet<Integer> ss = active.stream().filter(y -> y != x).map(y -> color[x][y]).collect(Collectors.toCollection(HashSet::new));
                    if (ss.size() == 1) {
                        toRemove.add(x);
                        cc = ss.toArray(new Integer[1])[0];
                    }
                }
                active.removeAll(toRemove);
                cs.add(new MaximumClique.Clique(cc, toRemove.size()));
            }

            long[][] nways = new long[c + 1][n + 1];
            for (int i = 1; i <= c; i++) Arrays.fill(nways[i], 1);
            long ans = 0;
            for (MaximumClique.Clique cc : cs) {
                long[] xx = new long[n + 1];
                Arrays.fill(xx, 1);
                for (int i = 1; i <= c; i++) {
                    if (i == cc.color) continue;
                    for (int j = 1; j <= n; j++) {
                        xx[j] = xx[j] * nways[i][j - 1] % mod;
                    }
                }

                long[] ff = new long[n + 1];
                for (int take = 1; take <= cc.size; take++) {
                    for (int j = take; j <= n; j++) {
                        ff[j] = (ff[j] + xx[j] * nways[cc.color][j - take] % mod * comb[cc.size][take]) % mod;
                    }
                }

                rsum(ff);
                for (int i = 1; i <= n; i++) {
                    ans = (ans + ff[i] * i) % mod;
                }

                rsum(nways[cc.color]);
                for (int nhave = n; nhave >= 0; nhave--) {
                    for (int take = 1; take <= cc.size; take++) {
                        int have = nhave - take;
                        if (have >= 0 && nways[cc.color][have] != 0) {
                            nways[cc.color][nhave] = (nways[cc.color][nhave] + nways[cc.color][have] * comb[cc.size][take]) % mod;
                        }
                    }
                }
                psum(nways[cc.color]);
            }
            out.println(ans);
        }

        public void psum(long[] x) {
            for (int i = 1; i < x.length; i++) {
                x[i] += x[i - 1];
                if (x[i] >= mod) x[i] -= mod;
            }
        }

        public void rsum(long[] x) {
            for (int i = x.length - 1; i > 0; i--) {
                x[i] -= x[i - 1];
                if (x[i] < 0) x[i] += mod;
            }
        }

        static class Clique {
            public int color;
            public int size;

            public Clique(int color, int size) {
                this.color = color;
                this.size = size;
            }

        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void close() {
            writer.close();
        }

        public void println(long i) {
            writer.println(i);
        }

        public void println(int i) {
            writer.println(i);
        }

    }

    static class Utils {
        public static int[][] getComb(int sz, int mod) {
            int[][] comb = new int[sz][sz];
            for (int i = 0; i < sz; i++) {
                comb[i][0] = 1;
                for (int j = 1; j <= i; j++) {
                    comb[i][j] = comb[i - 1][j] + comb[i - 1][j - 1];
                    if (comb[i][j] >= mod) comb[i][j] -= mod;
                }
            }
            return comb;
        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (this.numChars == -1) {
                throw new InputMismatchException();
            } else {
                if (this.curChar >= this.numChars) {
                    this.curChar = 0;

                    try {
                        this.numChars = this.stream.read(this.buf);
                    } catch (IOException var2) {
                        throw new InputMismatchException();
                    }

                    if (this.numChars <= 0) {
                        return -1;
                    }
                }

                return this.buf[this.curChar++];
            }
        }

        public int nextInt() {
            int c;
            for (c = this.read(); isSpaceChar(c); c = this.read()) {
                ;
            }

            byte sgn = 1;
            if (c == 45) {
                sgn = -1;
                c = this.read();
            }

            int res = 0;

            while (c >= 48 && c <= 57) {
                res *= 10;
                res += c - 48;
                c = this.read();
                if (isSpaceChar(c)) {
                    return res * sgn;
                }
            }

            throw new InputMismatchException();
        }

        public static boolean isSpaceChar(int c) {
            return c == 32 || c == 10 || c == 13 || c == 9 || c == -1;
        }

    }
}