Combination Sum
Explore how to identify and generate all unique combinations of integers that sum to a target using dynamic programming techniques in C++. This lesson helps you understand problem constraints, develop solutions by selecting numbers unlimited times, and implement your approach in a coding environment.
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Statement
Given an array of distinct integers, nums, and an integer, target, return a list of all unique combinations of nums where the chosen numbers sum up to the target. The combinations may be returned in any order.
An integer from nums may be chosen an unlimited number of times. Two combinations are unique if the
frequency of at least one of the chosen integers is different.
Constraints:
-
nums.length -
nums[i] -
target - All integers of
numsare unique.
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
Combination Sum
Given the following array and target value, what will be the answer?
nums = [3, 6, 7]
target = 10
result = [[3, 7]]
result = [[3, 6], [3, 3, 3]]
result = []
result = [[7], [3, 6]]
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Try it yourself
Implement your solution in the following coding playground.
vector<vector<int>> CombinationSum(vector<int>& nums, int target){// Replace this placeholder return statement with your codereturn {};}