Package g2701_2800.s2713_maximum_strictly_increasing_cells_in_a_matrix

Class Solution

java.lang.Object
g2701_2800.s2713_maximum_strictly_increasing_cells_in_a_matrix.Solution
public class Solution extends java.lang.Object
2713 - Maximum Strictly Increasing Cells in a Matrix.

Hard

Given a 1-indexed m x n integer matrix mat, you can select any cell in the matrix as your starting cell.

From the starting cell, you can move to any other cell in the same row or column , but only if the value of the destination cell is strictly greater than the value of the current cell. You can repeat this process as many times as possible, moving from cell to cell until you can no longer make any moves.

Your task is to find the maximum number of cells that you can visit in the matrix by starting from some cell.

Return an integer denoting the maximum number of cells that can be visited.

Example 1:

Input: mat = [[3,1],[3,4]]

Output: 2

Explanation: The image shows how we can visit 2 cells starting from row 1, column 2. It can be shown that we cannot visit more than 2 cells no matter where we start from, so the answer is 2.

Example 2:

Input: mat = [[1,1],[1,1]]

Output: 1

Explanation: Since the cells must be strictly increasing, we can only visit one cell in this example.

Example 3:

Input: mat = [[3,1,6],[-9,5,7]]

Output: 4

Explanation: The image above shows how we can visit 4 cells starting from row 2, column 1. It can be shown that we cannot visit more than 4 cells no matter where we start from, so the answer is 4.

Constraints:

  • m == mat.length
  • n == mat[i].length
  • 1 <= m, n <= 105
  • 1 <= m * n <= 105
  • -105 <= mat[i][j] <= 105

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maxIncreasingCells(int[][] mat)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maxIncreasingCells

      public int maxIncreasingCells(int[][] mat)