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Commit 8961be9

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39. Combination Sum
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‎Backtracking/combination_sum.py‎

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# Given an array of distinct integers candidates and a target integer target,
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# return a list of all unique combinations of candidates where the chosen
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# numbers sum to target. You may return the combinations in any order.
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# The same number may be chosen from candidates an unlimited number of times.
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# Two combinations are unique if the
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# frequency
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# of at least one of the chosen numbers is different.
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# The test cases are generated such that the number of unique combinations that
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# sum up to target is less than 150 combinations for the given input.
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# Example 1:
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# Input: candidates = [2,3,6,7], target = 7
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# Output: [[2,2,3],[7]]
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# Explanation:
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# 2 and 3 are candidates, and 2 + 2 + 3 = 7. Note that 2 can be used multiple times.
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# 7 is a candidate, and 7 = 7.
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# These are the only two combinations.
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# Example 2:
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# Input: candidates = [2,3,5], target = 8
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# Output: [[2,2,2,2],[2,3,3],[3,5]]
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# Example 3:
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# Input: candidates = [2], target = 1
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# Output: []
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# Constraints:
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# 1 <= candidates.length <= 30
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# 2 <= candidates[i] <= 40
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# All elements of candidates are distinct.
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# 1 <= target <= 40
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from typing import List
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class Solution:
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def combinationSum(self, candidates: List[int], target: int) -> List[List[int]]:
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ans = []
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def dfs(s, t, path: list[int]):
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if t < 0:
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return
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if t == 0:
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ans.append(path.copy())
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for i in range(s, len(candidates)):
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path.append(candidates[i])
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dfs(i, t - candidates[i], path)
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path.pop()
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dfs(0, target, [])
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return ans

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