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How to Solve Count Number of Balanced Permutations Problem
Master the Count Number of Balanced Permutations LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#3343
LeetCode ProblemCount Number of Balanced Permutations
You are given a string num. A string of digits is called balanced if the sum of the digits at even indices is equal to the sum of the digits at odd indices. Return the number of distinct permutations of num that are balanced. Since the answer may be very large, return it modulo 109 + 7. A permutation is a rearrangement of all the characters of a string.
MathStringDynamic ProgrammingCombinatorics
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Problem Breakdown
Understanding the Count Number of Balanced Permutations Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a string num. A string of digits is called balanced if the sum of the digits at even indices is equal to the sum of the digits at odd indices. Return the number of distinct permutations of num that are balanced. Since the answer may be very large, return it modulo 109 + 7. A permutation is a rearrangement of all the characters of a string.
HardProblem #3343
LeetCodeCount Number of Balanced Permutations
Related Topics
MathStringDynamic ProgrammingCombinatorics
How Phantom Code Helps
Get real-time assistance for Count Number of Balanced Permutations problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
num = "123"
Output
2
# Example 2
Input
num = "112"
Output
1
# Example 3
Input
num = "12345"
Output
0
Constraints
2 <= num.length <= 80
num consists of digits '0' to '9' only.
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Solve Count Number of Balanced Permutations — You are given a string num. A string of digits is called balanced if the sum of ...
Here's the optimal approach using Math:
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 Count Number of Balanced Permutations and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Count Number of Balanced Permutations 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 Count Number of Balanced Permutations?
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 Count Number of Balanced Permutations?
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 Count Number of Balanced Permutations 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 Count Number of Balanced Permutations 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 Count Number of Balanced Permutations 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 Count Number of Balanced Permutations 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 Count Number of Balanced Permutations 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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