A peak element in a 2D grid is an element that is strictly greater than all of its adjacent neighbors to the left, right, top, and bottom.
Given a 0-indexedm x n matrix mat where no two adjacent cells are equal, find any peak element mat[i][j] and return the length 2 array [i,j].
You may assume that the entire matrix is surrounded by an outer perimeter with the value -1 in each cell.
You must write an algorithm that runs in O(m log(n)) or O(n log(m)) time.
Example 1:
Input: mat = [[1,4],[3,2]]
Output: [0,1]
Explanation:Â Both 3 and 4 are peak elements so [1,0] and [0,1] are both acceptable answers.
Example 2:
Input: mat = [[10,20,15],[21,30,14],[7,16,32]]
Output: [1,1]
Explanation:Â Both 30 and 32 are peak elements so [1,1] and [2,2] are both acceptable answers.
Constraints:
m == mat.length
n == mat[i].length
1 <= m, n <= 500
1 <= mat[i][j] <= 105
No two adjacent cells are equal.
Intuition
Approach:
Similar to Find Peak 1,
Here we find the max element in a particular column
Now this max element we compare with
Left and Right element , because top and bottom need not be compared as maximum
Now based on left and right, change the low and high pointers