How to Solve Maximize Win From Two Segments Leetcode Problem - Interview Coder Guide
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How to Solve Maximize Win From Two Segments Problem

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Medium#2673
LeetCode Problem

Maximize Win From Two Segments

There are some prizes on the X-axis. You are given an integer array prizePositions that is sorted in non-decreasing order, where prizePositions[i] is the position of the ith prize. There could be diff...

ArrayBinary SearchSliding Window

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Problem Breakdown

Understanding the Maximize Win From Two Segments Problem

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

Problem Statement

There are some prizes on the X-axis. You are given an integer array prizePositions that is sorted in non-decreasing order, where prizePositions[i] is the position of the ith prize. There could be different prizes at the same position on the line. You are also given an integer k. You are allowed to select two segments with integer endpoints. The length of each segment must be k. You will collect all prizes whose position falls within at least one of the two selected segments (including the endpoints of the segments). The two selected segments may intersect. For example if k = 2, you can choose segments [1, 3] and [2, 4], and you will win any prize i that satisfies 1 <= prizePositions[i] <= 3 or 2 <= prizePositions[i] <= 4. Return the maximum number of prizes you can win if you choose the two segments optimally.

MediumProblem #2673
LeetCode

Maximize Win From Two Segments

Related Topics
ArrayBinary SearchSliding Window
How Interview Coder Helps

Get real-time assistance for Maximize Win From Two Segments problems during coding interviews. Interview Coder provides instant solutions and explanations.

Examples

Example 1
INPUT
prizePositions = [1,1,2,2,3,3,5], k = 2
OUTPUT
7
EXPLANATION

In this example, you can win all 7 prizes by selecting two segments [1, 3] and [3, 5].

Example 2
INPUT
prizePositions = [1,2,3,4], k = 0
OUTPUT
2
EXPLANATION

For this example, one choice for the segments is [3, 3] and [4, 4], and you will be able to get 2 prizes.

Constraints

1 <= prizePositions.length <= 105
1 <= prizePositions[i] <= 109
0 <= k <= 109
prizePositions is sorted in non-decreasing order.

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