How to Solve Rank Transform of a Matrix Problem
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Rank Transform of a Matrix
Given an m x n matrix, return a new matrix answer where answer[row][col] is the rank of matrix[row][col]. The rank is an integer that represents how large an element is compared to other elements. It ...
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Understanding the Rank Transform of a Matrix Problem
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Problem Statement
Given an m x n matrix, return a new matrix answer where answer[row][col] is the rank of matrix[row][col]. The rank is an integer that represents how large an element is compared to other elements. It is calculated using the following rules: The rank is an integer starting from 1. If two elements p and q are in the same row or column, then: If p < q then rank(p) < rank(q) If p == q then rank(p) == rank(q) If p > q then rank(p) > rank(q) The rank should be as small as possible. The test cases are generated so that answer is unique under the given rules.
Rank Transform of a Matrix
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Examples
matrix = [[1,2],[3,4]][[1,2],[2,3]]The rank of matrix[0][0] is 1 because it is the smallest integer in its row and column. The rank of matrix[0][1] is 2 because matrix[0][1] > matrix[0][0] and matrix[0][0] is rank 1. The rank of matrix[1][0] is 2 because matrix[1][0] > matrix[0][0] and matrix[0][0] is rank 1. The rank of matrix[1][1] is 3 because matrix[1][1] > matrix[0][1], matrix[1][1] > matrix[1][0], and both matrix[0][1] and matrix[1][0] are rank 2.
matrix = [[7,7],[7,7]][[1,1],[1,1]]matrix = [[20,-21,14],[-19,4,19],[22,-47,24],[-19,4,19]][[4,2,3],[1,3,4],[5,1,6],[1,3,4]]Constraints
m == matrix.lengthn == matrix[i].length1 <= m, n <= 500109 <= matrix[row][col] <= 109How Interview Coder Helps with Leetcode Problems
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