EasyNo. 2903

Find Indices With Index and Value Difference I — LeetCode 2903 Python Solution

Topics
Array, Two Pointers
Reading time
3 min

The problem

You are given a 0-indexed integer array nums having length n, an integer indexDifference, and an integer valueDifference. Your task is to find two indices i and j, both in the range [0, n - 1], that satisfy the following conditions: abs(i - j) >= indexDifference, and abs(nums[i] - nums[j]) >= valueDifference Return an integer array answer, where answer = [i, j] if there are two such indices, and answer = [-1, -1] otherwise.

Example

Input
nums = [5,1,4,1], indexDifference = 2, valueDifference = 4
Output
[0,3]
Explanation
In this example, i = 0 and j = 3 can be selected.

Python solution

PythonSolution
class Solution:
    def findIndices(
        self, nums: List[int], indexDifference: int, valueDifference: int
    ) -> List[int]:
        mi = mx = 0
        for i in range(indexDifference, len(nums)):
            j = i - indexDifference
            if nums[j] < nums[mi]:
                mi = j
            if nums[j] > nums[mx]:
                mx = j
            if nums[i] - nums[mi] >= valueDifference:
                return [mi, i]
            if nums[mx] - nums[i] >= valueDifference:
                return [mx, i]
        return [-1, -1]

Complexity

Time
O(n)where n is the length of the array
Space · auxiliary
O(1)

Pattern: Two Pointers

Use the order already in the input to discard half the search space at every step. LeetCode 2903. Find Indices With Index and Value Difference I is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Two Pointers.

The two pointers guide has the Python template for the pattern and the 201 LeetCode problems that use it.

Related problems

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No.ProblemDifficulty
2905Find Indices With Index and Value Difference IIMedium
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0026Remove Duplicates from Sorted ArrayEasy
0027Remove ElementEasy

Frequently asked questions

How hard is LeetCode 2903. Find Indices With Index and Value Difference I?

LeetCode 2903. Find Indices With Index and Value Difference I is rated Easy on LeetCode.

What is the time complexity of LeetCode 2903. Find Indices With Index and Value Difference I?

The Python solution on this page runs in O(n), where n is the length of the array.

What is the space complexity of LeetCode 2903. Find Indices With Index and Value Difference I?

The Python solution on this page uses O(1) auxiliary space.

What topics does LeetCode 2903. Find Indices With Index and Value Difference I cover?

LeetCode 2903. Find Indices With Index and Value Difference I is tagged Array and Two Pointers on LeetCode.

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