Elements of anti diagonal in python assignment expert
Show View Discussion Improve Article Save Article View Discussion Improve Article Save Article Given a square matrix of size N*N, return an array of its anti-diagonals. For better understanding let us look at the image given below: Examples: Input : Output : 1 2 5 3 6 9 4 7 10 13 8 11 14 12 15 16 Approach 1:
Below is the implementation of the above approach: C++
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Time Complexity: O(N*N), Where N is the number of rows or columns of given matrix. Approach 2: Much simpler and concise (Same time Complexity) In this approach, we will make the use of sum of indices of any element in a matrix. Let indices of any element be represented by i (row) an j (column). If we find the sum of indices of any element in a N*N matrix, we will observe that the sum of indices for any element lies between 0 (when i = j = 0) and 2*N – 2 (when i = j = N-1). So we will follow the following steps:
Below is the implementation of the above approach: C++
Java
Python3
C#
Javascript
Output : 1 2 5 3 6 9 4 7 10 13 8 11 14 12 15 16 Time Complexity: O(N*N), Where N is the number of rows or columns of given matrix. How do you find the anti diagonal elements of a matrix in python?We can use antidiagonal property of matrix. if (i,j) represents row and col index of cell then all cells along any antidiagonal will always have same i + j. We combine this cells to its list using map, where key is i+j.
What is anti diagonal elements of matrix?In mathematics, an anti-diagonal matrix is a square matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner (↗), known as the anti-diagonal (sometimes Harrison diagonal, secondary diagonal, trailing diagonal, minor diagonal, or bad diagonal).
How do you find the diagonal in Python?diagonal() method, we are able to find a diagonal element from a given matrix and gives output as one dimensional matrix. Example #1 : In this example we can see that with the help of matrix. diagonal() method we are able to find the elements in a diagonal of a matrix.
How do you find the diagonal of a sum in Python?Sum of diagonal of the matrix in Python. Matrix=[[0]*M]*M.. sum=0.. for i in range(M):. for j in range(M):. if i==j:. sum=sum+Matrix[i][j]. elif i+j=M-1:. sum=sum+Matrix[i][j]. |