Package g2201_2300.s2280_minimum_lines_to_represent_a_line_chart

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    2280 - Minimum Lines to Represent a Line Chart.

    Medium

    You are given a 2D integer array stockPrices where <code>stockPricesi = day<sub>i</sub>, price<sub>i</sub></code> indicates the price of the stock on day <code>day<sub>i</sub></code> is <code>price<sub>i</sub></code>. 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.

    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:

    • <code>1 <= stockPrices.length <= 10<sup>5</sup></code>

    • stockPrices[i].length == 2

    • <code>1 <= day<sub>i</sub>, price<sub>i</sub><= 10<sup>9</sup></code>

    • All <code>day<sub>i</sub></code> are distinct.

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer minimumLines(Array<IntArray> stockPrices)

      • Methods inherited from class java.lang.Object

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