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/*
ЗАПУСКАЕМ ВЫСОКОГО
░ГУСЯ░▄▀▀▀▄░РАБОТЯГИ░░
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 */


import java.io.*;
import java.util.*;

public class Main {

    List<Integer> g[];

    void solve() throws IOException {
        n = readInt();
        m = readInt();
        g = new List[n * m];
        for (int i = 0; i < n * m; i++) g[i] = new ArrayList<>();
        arr = new char[n][m];
        for (int i = 0; i < n; i++) arr[i] = readString().toCharArray();
        used = new boolean[n][m];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (used[i][j]) continue;
                if (arr[i][j] == '#') {
                    if (!check(i, j)) {
                        out.print("No");
                        return;
                    }
                }
            }
        }
        out.print("Yes");
    }

    int n, m;

    boolean check(int x, int y) {
        ArrayList<Integer> yl = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            if (arr[i][y] == '#') {
                for (int h = 0; h < m; h++) {
                    if (arr[i][h] == '#') yl.add(h);
                }
            }
        }
        ArrayList<Integer> xl = new ArrayList<>();
        for (int j = 0; j < m; j++) {
            if (arr[x][j] == '#') {
                for (int l = 0; l < n; l++) {
                    if (arr[l][j] == '#') xl.add(l);
                }
            }
        }
        for (int i : xl) {
            for (int j : yl) {
                used[i][j] = true;
                if (arr[i][j] != '#') return false;
            }
        }
        return true;
    }

    boolean[][] used;
    char[][] arr;

    long sqrt(long a) {
        long answer = (long) (Math.sqrt(a));
        while (answer * answer <= a) answer++;
        return answer - 1;
    }

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

    long binPow(long val, long pow) {
        if (pow == 0) return 1;
        if (pow % 2 == 1) {
            long k = binPow(val, pow / 2);
            return (k * k) * val;
        } else {
            long k = binPow(val, pow / 2);
            return (k * k);
        }
    }


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

    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok;

    Main() throws FileNotFoundException {
        try {
            in = new BufferedReader(new FileReader("input.txt"));
            out = new PrintWriter("output.txt");
        } catch (Exception e) {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        }
        tok = new StringTokenizer("");
    }

    void run() throws IOException {
        solve();
        out.close();
    }


    class Fenwik {
        private long[] t;
        private int length;

        Fenwik(int[] a) {
            this.length = a.length + 100;
            this.t = new long[length];
            for (int i = 0; i < a.length; ++i) this.inc(i, a[i]);
        }

        void inc(int i, int delta) {
            for (; i < this.length; i = i | (i + 1)) t[i] += delta;
        }

        long getSum(int r) {
            long sum = 0;
            for (; r >= 0; r = (r & (r + 1)) - 1) sum += this.t[r];
            return sum;
        }

    }

    String delimiter = " ";

    String readLine() throws IOException {
        return in.readLine();
    }

    String readString() throws IOException {
        while (!tok.hasMoreTokens()) {
            String nextLine = readLine();
            if (null == nextLine) return null;
            tok = new StringTokenizer(nextLine);
        }
        return tok.nextToken(delimiter);
    }

    int readInt() throws IOException {
        return Integer.parseInt(readString());
    }

    long readLong() throws IOException {
        return Long.parseLong(readString());
    }

    double readDouble() throws IOException {
        return Double.parseDouble(readString());
    }

    int[] readIntArray(int b) {
        int a[] = new int[b];
        for (int i = 0; i < b; i++)
            try {
                a[i] = readInt();
            } catch (IOException e) {
                e.printStackTrace();
            }
        return a;
    }

    int[] readSortedIntArray(int size) throws IOException {
        Integer[] array = new Integer[size];
        for (int index = 0; index < size; ++index) array[index] = readInt();
        Arrays.sort(array);
        int[] sortedArray = new int[size];
        for (int index = 0; index < size; ++index) sortedArray[index] = array[index];
        return sortedArray;
    }

    int[] sortedIntArray(int size, int[] array) throws IOException {
        for (int index = 0; index < size; ++index) array[index] = readInt();
        Arrays.sort(array);
        int[] sortedArray = new int[size];
        for (int index = 0; index < size; ++index) sortedArray[index] = array[index];
        return sortedArray;
    }

    int minInt(int... values) {
        int min = Integer.MAX_VALUE;
        for (int value : values) min = Math.min(min, value);
        return min;
    }

    int maxInt(int... values) {
        int max = Integer.MIN_VALUE;
        for (int value : values) max = Math.max(max, value);
        return max;
    }

    long minLong(long... values) {
        long min = Long.MAX_VALUE;
        for (long value : values) min = Math.min(min, value);
        return min;
    }

    long maxLong(long... values) {
        long max = Long.MIN_VALUE;
        for (long value : values) max = Math.max(max, value);
        return max;
    }

    boolean checkIndex(int index, int size) {
        return (0 <= index && index < size);
    }

    int abs(int a) {
        if (a < 0) return -a;
        return a;
    }
}