What is the order of largest square Submatrix?

The largest square submatrix is formed by cells (0, 2) , (3, 2) , (0, 5) , and (3, 5) . The brute-force solution is to consider every square submatrix and check if it is surrounded by all 1’s .

How do you find the minimum and maximum sum?

Simple Approach:

1. Sort the array in ascending order.
2. Sum of the first N-1 elements in the array gives the minimum possible sum.
3. Sum of the last N-1 elements in the array gives the maximum possible sum.

What is maximum path sum?

The path sum of a path is the sum of the node’s values in the path. Given the root of a binary tree, return the maximum path sum of any non-empty path. Example 1: Input: root = [1,2,3] Output: 6 Explanation: The optimal path is 2 -> 1 -> 3 with a path sum of 2 + 1 + 3 = 6.

What is the maximum rectangular area?

The largest possible rectangular area is in the shape of a square.

How do you find the nilpotency of a matrix?

A square matrix X is said to be nilpotent if Xr = 0 for some positive integer r. The least such positive integer is called the index (or, degree) of nilpotency.

What is the biggest square?

Tiananmen Square in Beijing is the largest city square in the world. The square is surrounded by Soviet-style monuments and government buildings.

How to find the maximum area under the histogram using algorithm?

Algorithm: 1 Run a loop to traverse through the rows. 2 Now If the current row is not the first row then update the row as follows, if matrix [i] [j] is not zero then matrix [i] [j] = matrix [i-1] 3 Find the maximum rectangular area under the histogram, consider the ith row as heights of bars of a histogram.

How to find maximum length of sub-array in 1-D array?

The solution is based on Maximum sum rectangle in a 2D matrix. The idea is to reduce the problem to 1 D array. We can use Hashing to find maximum length of sub-array in 1-D array in O (n) time.

How do you find the required sub-matrix of a matrix?

For the given M [R] [C] in above example, constructed S [R] [C] would be: The value of maximum entry in above matrix is 3 and coordinates of the entry are (4, 3). Using the maximum value and its coordinates, we can find out the required sub-matrix. Time Complexity: O (m*n) where m is number of rows and n is number of columns in the given matrix.

What is the Max rectangle?

We know that the maximal rectangle must be one of the rectangles constructed in this manner (the max rectangle must have a point on its base where the next filled square is height above that point). For each point we define some variables: These three variables uniquely define the rectangle at that point.