Combination Sum II
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
Solution
The logics for the template are:
start_index
: the start index of the next potential candidate incandidates
.is_leaf
: ifremaining == 0
we have reached our target using elements inpath
.get_edges
: all candidates incandidates[start_index:]
.is_valid
:candidate[i]
is valid if it does not exceed remaining and is not a duplicate.
We will follow the same steps as in Deduplication to validate and avoid a duplicate candidate.
Implementation
def combinationSum2(self, candidates: List[int], target: int) -> List[List[int]]:
def dfs(start_index, path, remaining):
if remaining == 0:
ans.append(path[:])
for i in range(start_index, len(candidates)):
if remaining - candidates[i] < 0: # avoid results exceeding target
break
elif i != start_index and candidates[i] == candidates[i-1]: # avoid duplicates
continue
path.append(candidates[i])
dfs(i+1, path, remaining - candidates[i])
path.pop()
candidates.sort()
ans = []
dfs(0, [], target)
return ans
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Start EvaluatorGiven a sorted array of integers and an integer called target, find the element that
equals to the target and return its index. Select the correct code that fills the
___
in the given code snippet.
1def binary_search(arr, target):
2 left, right = 0, len(arr) - 1
3 while left ___ right:
4 mid = (left + right) // 2
5 if arr[mid] == target:
6 return mid
7 if arr[mid] < target:
8 ___ = mid + 1
9 else:
10 ___ = mid - 1
11 return -1
12
1public static int binarySearch(int[] arr, int target) {
2 int left = 0;
3 int right = arr.length - 1;
4
5 while (left ___ right) {
6 int mid = left + (right - left) / 2;
7 if (arr[mid] == target) return mid;
8 if (arr[mid] < target) {
9 ___ = mid + 1;
10 } else {
11 ___ = mid - 1;
12 }
13 }
14 return -1;
15}
16
1function binarySearch(arr, target) {
2 let left = 0;
3 let right = arr.length - 1;
4
5 while (left ___ right) {
6 let mid = left + Math.trunc((right - left) / 2);
7 if (arr[mid] == target) return mid;
8 if (arr[mid] < target) {
9 ___ = mid + 1;
10 } else {
11 ___ = mid - 1;
12 }
13 }
14 return -1;
15}
16
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