Combination Sum Calculator
Use this Combination Sum Calculator to Find All the Possible Combinations of the Target Sum.
What is a Combination Sum Calculator?
A combination sum calculator is a mathematical tool that helps you to find all the possible ways to combine a set of numbers to reach a specific target sum.
For example, suppose you have the numbers 2, 3, 4, 5, 6, and 7, and you want to make a sum of 12. Using this combination calculator, you can easily find all the possible unique combinations, which are:
- 2 + 3 + 7 = 12
- 2 + 4 + 6 = 12
- 3 + 4 + 5 = 12
- 5 + 7 = 12
Real-Time Results
Real-time results, zero clicks — updates 300ms after you stop typing
Handle Large Numbers
Can process large sums with 50+ candidates without freezing
Smart Algorithm Selection
Automatically chooses the best algorithm based on problem complexity
Sum Calculator
combinationsumcalculator.pro
How to Use this Tool?
Enter Target Sum
Target Sum - The number you want to reach
Enter the number you want to reach (for example - 15, 37, or 251 etc). The target sum is also simply known as sum or subset sum.
- Supports large numbers
- Smooth UI, even with large datasets
- Crash free experience on big inputs
Enter Candidate Numbers
Candidate Numbers - A list of numbers you can use to reach the target sum
The next step is to enter the candidate numbers that can be used to reach the target sum.
For example, if the target sum is 251 and the candidate numbers are (3, 7, 12, 18, 21, 25, 29, 30, 33, 36, 38, 40, 42, 45, 47, 49, 50, 52, 55, 57, 59, 60, 61, 63, 65, 66, 68, 70, 73, 75, 78, 80, 83, 85, 87, 90, 92, 95, 97, 99, 100, 103, 105, 108, 110, 115, 120, 123, 127, 130), the calculator will use these to find all valid unique combinations.
- Comma-separated Inputs - 3, 5, 7, 9
- Line-separated Inputs - Can put each number on a new line
- Mixed Inputs - Can use both comma and new line inputs simultaneously
View and Download Combinations
After entering the target sum and the candidate numbers, this calculator will find all the possible unique combinations from the candidates numbers which will add up to the target sum.
You can also download all the possible unique combinations in a .txt text document.
- Instant download
- Unique combinations
- First 10,000 possible combinations
Features
Handles Large Numbers
Can process large target sums like 251 with 50+ candidates without freezing.
Smart Algorithm Selection
Automatically chooses the best algorithm based on problem complexity.
Realtime Results
Combination results are updated in realtime (300ms after you stop typing).
Multiple Input Formats
Supports comma-separated, newline-separated, or mixed formats.
Number Support
This calculator supports both whole numbers and decimal number inputs.
Memory Management
Well optimized to prevent browser crashes and freezes with large datasets.
How This Calculator Works?
Most combination sum calculator freeze or crash when dealing with large numbers because they use naive algorithms with exponential time complexity O(2^n). With just 50 candidate numbers, they attempt to check 2^50 combinations (over 1 quadrillion), which will freeze any browser.
Our calculator solves this problem by intelligently using two well-optimized algorithms - Dynamic Programming for medium problems and Backtracking algorithm for large datasets - ensuring your browser never freezes and deliver results in realtime.
Dynamic Programming
Our first algorithm works like building a staircase - It solves smaller subproblems first and then use them to reach the bigger ones. It creates a table where each step represents a possible sum, storing every way to reach there until we reach the target sum.
Backtracking Algorithm
Our second algorithm works like exploring a maze, it tries different paths, backtracks when it hits dead ends, and keep going until it finds every solution. It is highly memory efficent, making it perfect for large datasets.
Frequently Asked Questions
What is a combination sum calculator?
Combination sum calculator also known as subset sum calculator is a mathematical tool that helps you to find all the possible ways to combine a set of numbers to reach a specific target sum.
What is a target sum?
Target sum or simply sum is the number you want to reach.
What are candidate numbers?
Candidate numbers are the group of numbers you can choose from to create combinations that add up to your target sum.
Why do other calculators freeze or crashes on large numbers?
Most online calculators use naive algorithms with exponential time complexity, which generates billions or trillions of combinations which will freeze any browser.
How does this calculator prevent crashing?
Our calculator solves this crashing problem by intelligently using two well-optimized algorithms - Dynamic Programming for small and medium problems and Backtracking algorithm for large datasets - ensuring your browser never freezes and deliver results in realtime.
How many possible combinations we get to see?
You will get to see first 10,000 possible unique combinations.