**Consider A 2 dimensional matrix Of size MxN Consisting of both positive and negative values.Identify the largest Sub matrix whose values are All positive.**

**Input **

**[-1 -2**

**3 4]**

**Output**

**[3 4]**

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import numpy as np a = np.array([[-1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, -16]]) # Extract all possible sub-arrays of a sub_arrays = [] if not (a< 0).all(): for i in range(a.shape[0]): for j in range(a.shape[1]): for k in range(i+1, a.shape[0]+1): for l in range(j+1, a.shape[1]+1): if (a[i:k, j:l] >= 0).all(): sub_arrays.append(a[i:k, j:l]) if not sub_arrays==[]: # Find the maximum shape max_shape = 0 for array in sub_arrays: if max_shape is None or array.size > max_shape: max_shape = array.size # Print the arrays with the maximum shape for array in sub_arrays: if array.size == max_shape: print('Largest sub matrix Whose value are all +ve-',array) print() else: print('There Are No Largest sub matrix Exist Whose value are all +ve')

Largest sub matrix Whose value are all +ve- [[ 2 3 4] [ 6 7 8] [10 11 12]] Largest sub matrix Whose value are all +ve- [[ 5 6 7] [ 9 10 11] [13 14 15]]

tags

numpy,array,2d array,matrix,array in python,extract sub array in python,extract sub array Using Programming,extract sub matrices Using Programming