How to Solve Find a Value of a Mysterious Function Closest to Target Leetcode Problem - Interview Coder Guide
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How to Solve Find a Value of a Mysterious Function Closest to Target Problem

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Hard#1645
LeetCode Problem

Find a Value of a Mysterious Function Closest to Target

Winston was given the above mysterious function func. He has an integer array arr and an integer target and he wants to find the values l and r that make the value |func(arr, l, r) - target| minimum p...

ArrayBinary SearchBit Manipulation+1 more

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Problem Breakdown

Understanding the Find a Value of a Mysterious Function Closest to Target Problem

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

Problem Statement

Winston was given the above mysterious function func. He has an integer array arr and an integer target and he wants to find the values l and r that make the value |func(arr, l, r) - target| minimum possible. Return the minimum possible value of |func(arr, l, r) - target|. Notice that func should be called with the values l and r where 0 <= l, r < arr.length.

HardProblem #1645
LeetCode

Find a Value of a Mysterious Function Closest to Target

Related Topics
ArrayBinary SearchBit ManipulationSegment Tree
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Examples

Example 1
INPUT
arr = [9,12,3,7,15], target = 5
OUTPUT
2
EXPLANATION

Calling func with all the pairs of [l,r] = [[0,0],[1,1],[2,2],[3,3],[4,4],[0,1],[1,2],[2,3],[3,4],[0,2],[1,3],[2,4],[0,3],[1,4],[0,4]], Winston got the following results [9,12,3,7,15,8,0,3,7,0,0,3,0,0,0]. The value closest to 5 is 7 and 3, thus the minimum difference is 2.

Example 2
INPUT
arr = [1000000,1000000,1000000], target = 1
OUTPUT
999999
EXPLANATION

Winston called the func with all possible values of [l,r] and he always got 1000000, thus the min difference is 999999.

Example 3
INPUT
arr = [1,2,4,8,16], target = 0
OUTPUT
0

Constraints

1 <= arr.length <= 105
1 <= arr[i] <= 106
0 <= target <= 107

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