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Program to find a matrix for each condominium's height is increased to the maximum possible height in Python?
Suppose we have a 2D matrix, where matrix [r, c] represents the height of a condominium in a city. The west-east skyline is visible by taking the maximum of each row in the matrix. And the north-south skyline can be visible by taking the maximum of each column. We have to find a new matrix where each condominium's height is increased to the maximum possible height while keeping the same west-east and north-south skyline.
So, if the input is like
| 2 | 3 | 4 |
| 5 | 6 | 7 |
| 8 | 9 | 10 |
| 4 | 4 | 4 |
| 7 | 7 | 7 |
| 8 | 9 | 10 |
as the west-east skyline is [4, 7, 10] and north-south skyline is [8, 9, 10]. We can increase everything in the first row to value 4 and everything in the second row to value 7 without changing the skylines.
To solve this, we will follow these steps:
r := a list of maximum of each row in the matrix
c := a list of maximum of each column in the matrix
for i in range 0 to row count of matrix, do
for j in range 0 to column count of matrix, do
if r[i] < c[j], then
matrix[i, j] := r[i]
otherwise,
matrix[i, j] := c[j]
return matrix
Let us see the following implementation to get better understanding:
Example
class Solution: def solve(self, matrix): r = [max(i) for i in matrix] c = [max(i) for i in zip(*matrix)] for i in range(len(matrix)): for j in range(len(matrix[i])): if r[i] < c[j]: matrix[i][j] = r[i] else: matrix[i][j] = c[j] return matrix ob = Solution() matrix = [ [2, 3, 4], [5, 6, 7], [8, 9, 10] ] print(ob.solve(matrix))
Input
[[2, 3, 4], [5, 6, 7], [8, 9, 10]]
Output
[[4, 4, 4], [7, 7, 7], [8, 9, 10]]
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