Package g2101_2200.s2106_maximum_fruits_harvested_after_at_most_k_steps

Class Solution

java.lang.Object

g2101_2200.s2106_maximum_fruits_harvested_after_at_most_k_steps.Solution

public class Solution
extends java.lang.Object

2106 - Maximum Fruits Harvested After at Most K Steps.

Hard

Fruits are available at some positions on an infinite x-axis. You are given a 2D integer array fruits where fruits[i] = [positioni, amounti] depicts amounti fruits at the position positioni. fruits is already sorted by positioni in ascending order , and each positioni is unique.

You are also given an integer startPos and an integer k. Initially, you are at the position startPos. From any position, you can either walk to the left or right. It takes one step to move one unit on the x-axis, and you can walk at most k steps in total. For every position you reach, you harvest all the fruits at that position, and the fruits will disappear from that position.

Return the maximum total number of fruits you can harvest.

Example 1:

Input: fruits = [[2,8],[6,3],[8,6]], startPos = 5, k = 4

Output: 9

Explanation: The optimal way is to:

• Move right to position 6 and harvest 3 fruits

• Move right to position 8 and harvest 6 fruits

You moved 3 steps and harvested 3 + 6 = 9 fruits in total.

Example 2:

Input: fruits = [[0,9],[4,1],[5,7],[6,2],[7,4],[10,9]], startPos = 5, k = 4

Output: 14

Explanation: You can move at most k = 4 steps, so you cannot reach position 0 nor 10. The optimal way is to:

• Harvest the 7 fruits at the starting position 5

• Move left to position 4 and harvest 1 fruit

• Move right to position 6 and harvest 2 fruits

• Move right to position 7 and harvest 4 fruits

You moved 1 + 3 = 4 steps and harvested 7 + 1 + 2 + 4 = 14 fruits in total.

Example 3:

Input: fruits = [[0,3],[6,4],[8,5]], startPos = 3, k = 2

Output: 0

Explanation: You can move at most k = 2 steps and cannot reach any position with fruits.

Constraints:

• 1 <= fruits.length <= 105
• fruits[i].length == 2
• 0 <= startPos, positioni <= 2 * 105
• positioni-1 < positioni for any i > 0 ( 0-indexed )
• 1 <= amounti <= 104
• 0 <= k <= 2 * 105

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	maxTotalFruits(int[][] fruits, int startPos, int k)

Methods inherited from class java.lang.Object

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

Constructor Details

Solution

public Solution()

Method Details

maxTotalFruits

public int maxTotalFruits(int[][] fruits,
 int startPos,
 int k)