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Find a matrix within another matrix?

+2 votes
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Given bigger NxN matrix and a smaller MxM matrix print TRUE if the smaller matrix can be found in the bigger matrix else print FALSE

posted Jul 22, 2016 by anonymous

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1 Answer

0 votes
void isSmallInBig()
{
    const int n = 4;
    int big[n][n] = { {11,12,13,14}, {21,22,23,24}, {31,32,33,34}, {41,42,43,44} };

    const int m = 3;
    int small[m][m] = { {21,22,23}, {31,32,33}, {41,42,43} };

    bool matchFound = false;
    bool flag = true;

    for(int r=0; r<n-m+1; r++)
    {
        for(int c=0; c<n-m+1; c++)
        {
            flag = true;
            for(int temp_r=0; temp_r<m; temp_r++)
            {
                for(int temp_c=0; temp_c<m; temp_c++)
                {
                    if(big[r + temp_r][c + temp_c] != small[temp_r][temp_c])
                    {
                        flag = false;
                        break;
                    }
                }
                if(flag==false) break;
            }
            if(flag==true) 
            {
                matchFound = true;
                break;
            }
        }
        if(flag==true) break;
    }

    if( matchFound )
        cout<<"Match found";
    else
        cout<<"Match not found";

}
answer Sep 23, 2016 by Manikandan J
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0 votes

suppose

A(n,m) = 
1 2 3         
4 5 6                            
7 8 9

and 

B(p, q) = 
1 1
1 1

What is best method to find min of square of difference of sub-matrices of A and B e.g.

sub-matrices of A =

1 2    |     2 3   |    4 5    |   5 6
3 4    |     5 6   |    7 8    |   8 9

Difference of first sub-matrix of A with B =

(1-1)  (2-1)    = |     0 1
(3-1)  (4-1)      |     2 3

sum of square of elements = 0*0 + 1*1 + 2*2 + 3*3 = 14

similar steps for other sub-matrices of A

Please suggest looking for an alternate method or algorithm which has time complexity less than O(n*m*p*q)

+7 votes

You have a 2D matrix. Only two ZEROs in matrix.
Find the path from 1st zero to 2nd zero with least sum.

1       6       8       9       0       3

4       9       -5      5       11      13

8       9       44      23      15      -20

7       9       7       -13     14      11      

0       16      23      31      16      7

67      5       4       23      21      19

Answer

1       6       8       9       0  ----> 3
                                         |
4       9       -5      5       11      13
                                         |
8       9       44      23      15      -20
                                         |
7 <---- 9 <---- 7 <--- -13 <--- 14 <---  11     
|
0       16      23      31      16        7

67      5       4       23      21       19
+2 votes

Problem
Given a table of size n * m, with each cell having a color value from the set {r, g, b}, find the area of the largest triangle that has one side parallel with the y – axis (vertical) and has no two vertices that have the same color value.

Input
First line contains the size of the matrix i.e. n * m where n is the number of rows and m is the number of columns.
n lines follow each having a string of size m.

Output
A single value for the area of the triangle.

Provide the C Code for the above problem?

+6 votes

Given a matrix with 1s and 0s, please find the number of groups of 1s. A group is defined by horizontally or vertically adjacent 1s.

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