How to Solve Minimum Lines to Represent a Line Chart Leetcode Problem - Interview Coder Guide
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How to Solve Minimum Lines to Represent a Line Chart Problem

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Medium#2367
LeetCode Problem

Minimum Lines to Represent a Line Chart

You are given a 2D integer array stockPrices where stockPrices[i] = [dayi, pricei] indicates the price of the stock on day dayi is pricei. A line chart is created from the array by plotting the points...

ArrayMathGeometry+2 more

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Problem Breakdown

Understanding the Minimum Lines to Represent a Line Chart Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given a 2D integer array stockPrices where stockPrices[i] = [dayi, pricei] indicates the price of the stock on day dayi is pricei. A line chart is created from the array by plotting the points on an XY plane with the X-axis representing the day and the Y-axis representing the price and connecting adjacent points. One such example is shown below: Return the minimum number of lines needed to represent the line chart.

MediumProblem #2367
LeetCode

Minimum Lines to Represent a Line Chart

Related Topics
ArrayMathGeometrySortingNumber Theory
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Examples

Example 1
INPUT
stockPrices = [[1,7],[2,6],[3,5],[4,4],[5,4],[6,3],[7,2],[8,1]]
OUTPUT
3
EXPLANATION

The diagram above represents the input, with the X-axis representing the day and Y-axis representing the price. The following 3 lines can be drawn to represent the line chart: - Line 1 (in red) from (1,7) to (4,4) passing through (1,7), (2,6), (3,5), and (4,4). - Line 2 (in blue) from (4,4) to (5,4). - Line 3 (in green) from (5,4) to (8,1) passing through (5,4), (6,3), (7,2), and (8,1). It can be shown that it is not possible to represent the line chart using less than 3 lines.

Example 2
INPUT
stockPrices = [[3,4],[1,2],[7,8],[2,3]]
OUTPUT
1
EXPLANATION

As shown in the diagram above, the line chart can be represented with a single line.

Constraints

1 <= stockPrices.length <= 105
stockPrices[i].length == 2
1 <= dayi, pricei <= 109
All dayi are distinct.

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