How to Solve Number of Pairs of Interchangeable Rectangles Problem
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Number of Pairs of Interchangeable Rectangles
You are given n rectangles represented by a 0-indexed 2D integer array rectangles, where rectangles[i] = [widthi, heighti] denotes the width and height of the ith rectangle. Two rectangles i and j (i ...
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Understanding the Number of Pairs of Interchangeable Rectangles Problem
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Problem Statement
You are given n rectangles represented by a 0-indexed 2D integer array rectangles, where rectangles[i] = [widthi, heighti] denotes the width and height of the ith rectangle. Two rectangles i and j (i < j) are considered interchangeable if they have the same width-to-height ratio. More formally, two rectangles are interchangeable if widthi/heighti == widthj/heightj (using decimal division, not integer division). Return the number of pairs of interchangeable rectangles in rectangles.
Number of Pairs of Interchangeable Rectangles
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Examples
rectangles = [[4,8],[3,6],[10,20],[15,30]]6The following are the interchangeable pairs of rectangles by index (0-indexed): - Rectangle 0 with rectangle 1: 4/8 == 3/6. - Rectangle 0 with rectangle 2: 4/8 == 10/20. - Rectangle 0 with rectangle 3: 4/8 == 15/30. - Rectangle 1 with rectangle 2: 3/6 == 10/20. - Rectangle 1 with rectangle 3: 3/6 == 15/30. - Rectangle 2 with rectangle 3: 10/20 == 15/30.
rectangles = [[4,5],[7,8]]0There are no interchangeable pairs of rectangles.
Constraints
n == rectangles.length1 <= n <= 105rectangles[i].length == 21 <= widthi, heighti <= 105How Interview Coder Helps with Leetcode Problems
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