Find whether the given matrix is sparseinput:m-no.of rowsn-no.of columnmatrix= []output:True/False
Question
Find whether the given matrix is sparseinput:m-no.of rowsn-no.of columnmatrix= []output:True/False
Solution
A sparse matrix is a matrix in which most of the elements are zero. If most of the elements are nonzero, then the matrix is considered dense. Here's a step-by-step guide to determine if a given matrix is sparse:
- Initialize the count of non-zero elements to 0.
- Traverse the matrix. For each element, if it is non-zero, increment the count.
- Calculate the size of the matrix which is m*n.
- If the count of non-zero elements is less than half the size of the matrix, return True. Otherwise, return False.
Here's a Python code snippet that implements the above steps:
def isSparse(matrix):
count = 0
rows = len(matrix)
cols = len(matrix[0])
for i in range(rows):
for j in range(cols):
if matrix[i][j] != 0:
count += 1
return count <= ((rows * cols) / 2)
matrix = [[your_matrix_here]]
print(isSparse(matrix))
Replace [[your_matrix_here]] with your actual matrix and run the program. If the output is True, the matrix is sparse. If the output is False, the matrix is not sparse.
Similar Questions
Find if the matrix is a sparse matrix
Find if the matrix is a sparse matrixInput: 1 0 3 0 0 4 6 0 0Output: YesExplaination:There are 5 zeros in the matrix which is more than half of the matrix size.
Write a java program to perform matrix multiplicationinput:m-no. of rowsn-no.of columsmatrix1=[]matrix2=[]output:matrix3=[]
You are given a 2D matrix grid of size m x n. You need to check if each cell grid[i][j] is:Equal to the cell below it, i.e. grid[i][j] == grid[i + 1][j] (if it exists).Different from the cell to its right, i.e. grid[i][j] != grid[i][j + 1] (if it exists).Return true if all the cells satisfy these conditions, otherwise, return false. Example 1:Input: grid = [[1,0,2],[1,0,2]]Output: trueExplanation:All the cells in the grid satisfy the conditions.Example 2:Input: grid = [[1,1,1],[0,0,0]]Output: falseExplanation:All cells in the first row are equal.Example 3:Input: grid = [[1],[2],[3]]Output: falseExplanation:Cells in the first column have different values. Constraints:1 <= n, m <= 100 <= grid[i][j] <= 9
You are given a matrix and an array. For each row of the given matrix, for each element of that row, check if it is present in the given array. Print the count of elements present for every row.Input FormatThe first line of input contains N, M - the size of the matrix. It is followed by N lines each containing M integers - elements of the matrix. The next line of the input contains the A - the size of the array. The next line of the input contains the array elements.Output FormatFor each row, print the count of the number of elements present, separated by a new line.Constraints1 <= N, M, A <= 100-100 <= mat[i][j], ar[i] <= 100ExampleInput3 45 9 -2 2-3 4 1 92 -2 1 -255 1 -2 2 6Output314ExplanationThe first row of the matrix is (5 9 -2 2), out of this, 3 elements (5 -2 2), except 9, are present in the given array (5 1 -2 2 6)The second row of the matrix is (-3 4 1 9), out of this, only 1 is present in the given array (5 1 -2 2 6)The third row of the matrix is (2 -2 1 -2), all the 4 elements are present in the given array (5 1 -2 2 6)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.