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Given a collection of candidate numbers (candidates
) and a target number (target
), find all unique combinations in candidates
where the candidate numbers sum to target
.
Each number in candidates
may only be used once in the combination.
Note: The solution set must not contain duplicate combinations.
Example 1:
Input: candidates = [10,1,2,7,6,1,5], target = 8 Output: [ [1,1,6], [1,2,5], [1,7], [2,6] ]
Example 2:
Input: candidates = [2,5,2,1,2], target = 5 Output: [ [1,2,2], [5] ]
Constraints:
1 <= candidates.length <= 100
1 <= candidates[i] <= 50
1 <= target <= 30
Python
# time complexity: O(2^n)
# space complexity: O(n)
from typing import List
class Solution:
def combinationSum2(self, candidates: List[int], target: int) -> List[List[int]]:
answer = []
candidates.sort()
self.backtrack(candidates, target, 0, [], answer)
return answer
def backtrack(self, candidates, target: int, totalIdx: int, path: List[int], answer: List[int]):
if target < 0:
return
if target == 0:
answer.append(path)
return
for i in range(totalIdx, len(candidates)):
if i > totalIdx and candidates[i] == candidates[i - 1]:
continue
self.backtrack(
candidates,
target - candidates[i],
i + 1,
path + [candidates[i]],
answer,
)
candidates = [10, 1, 2, 7, 6, 1, 5]
target = 8
print(Solution().combinationSum2(candidates, target))