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How to Solve Make Costs of Paths Equal in a Binary Tree Problem
Master the Make Costs of Paths Equal in a Binary Tree LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#2673
LeetCode ProblemMake Costs of Paths Equal in a Binary Tree
You are given an integer n representing the number of nodes in a perfect binary tree consisting of nodes numbered from 1 to n. The root of the tree is node 1 and each node i in the tree has two children where the left child is the node 2 * i and the right child is 2 * i + 1. Each node in the tree also has a cost represented by a given 0-indexed integer array cost of size n where cost[i] is the cost of node i + 1. You are allowed to increment the cost of any node by 1 any number of times. Return the minimum number of increments you need to make the cost of paths from the root to each leaf node equal.
ArrayDynamic ProgrammingGreedyTreeBinary Tree
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Problem Breakdown
Understanding the Make Costs of Paths Equal in a Binary Tree Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer n representing the number of nodes in a perfect binary tree consisting of nodes numbered from 1 to n. The root of the tree is node 1 and each node i in the tree has two children where the left child is the node 2 * i and the right child is 2 * i + 1. Each node in the tree also has a cost represented by a given 0-indexed integer array cost of size n where cost[i] is the cost of node i + 1. You are allowed to increment the cost of any node by 1 any number of times. Return the minimum number of increments you need to make the cost of paths from the root to each leaf node equal.
MediumProblem #2673
LeetCodeMake Costs of Paths Equal in a Binary Tree
Related Topics
ArrayDynamic ProgrammingGreedyTreeBinary Tree
How Phantom Code Helps
Get real-time assistance for Make Costs of Paths Equal in a Binary Tree problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 7, cost = [1,5,2,2,3,3,1]
Output
6
# Example 2
Input
n = 3, cost = [5,3,3]
Output
0
Constraints
3 <= n <= 105
n + 1 is a power of 2
cost.length == n
1 <= cost[i] <= 104
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Solve Make Costs of Paths Equal in a Binary Tree — You are given an integer n representing the number of nodes in a perfect binary ...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Make Costs of Paths Equal in a Binary Tree and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Make Costs of Paths Equal in a Binary Tree during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Make Costs of Paths Equal in a Binary Tree?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Make Costs of Paths Equal in a Binary Tree?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Make Costs of Paths Equal in a Binary Tree type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Make Costs of Paths Equal in a Binary Tree interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Make Costs of Paths Equal in a Binary Tree during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Make Costs of Paths Equal in a Binary Tree style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Make Costs of Paths Equal in a Binary Tree interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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