Given a set of candidate numbers (C) and a target number (T), find all unique combinations in C Where the candidate numbers sums to T.
The same repeated number is chosen from C unlimited number of times.
Note:
- All numbers (including target) would be positive integers.
- elements in a combination (a 1 , a 2 , ..., a k ) must is in non-descending order. (Ie, a 1 ≤ a 2 ≤ ... ≤ a k ).
- The solution set must not contain duplicate combinations.
For example, given candidate set2,3,6,7
and target7
,
A Solution set is:
[7]
[2, 2, 3]
Class Solution {private: vector<vector<int> > Ivvec;public: vector<vector<int> > Combinationsum (vector<int> &candidates, int target) { vector<int> Ivec; Sort (Candidates.begin (), Candidates.end ()); Combinationsum (candidates, 0, Target, Ivec); return ivvec; } void Combinationsum (vector<int> &candidates, int beg, int target, vector<int> Ivec) { if (0 = = Ta Rget) { ivvec.push_back (Ivec); return; } for (int idx = Beg, idx < candidates.size (); ++idx) { if (Target-candidates[idx] < 0) break ; Ivec.push_back (Candidates[idx]); Combinationsum (candidates, IDX, Target-candidates[idx], Ivec); Ivec.pop_back ();}} ;
Given A collection of candidate numbers (C) and a target number (T), find all unique combinations inCwhere the candidate numbers sums toT.
Each number in C is used once in the combination.
Note:
- All numbers (including target) would be positive integers.
- elements in a combination (a 1 , a 2 , ..., a k ) must is in non-descending order. (Ie, a 1 ≤ a 2 ≤ ... ≤ a k ).
- The solution set must not contain duplicate combinations.
For example, given candidate set10,1,2,7,6,1,5
and target8
,
A Solution set is:
[1, 7]
[1, 2, 5]
[2, 6]
[1, 1, 6]
There is little difference with the above question. Still using DFS, the basic question is how to weigh.
Ability to add a pruning: when the current element is the same as the previous element. Assuming that the previous element is taken, the current element can be taken and not taken, which in turn assumes that the previous element was not taken. So the same element cannot be taken from us or later.
(The vector using flag is selected as the marker element)
Class solution {private:vector<vector<int> > Ivvec; Vector<bool> flag;public:vector<vector<int> > combinationSum2 (vector<int> &num, int Target) {vector<int> Ivec; Sort (Num.begin (), Num.end ()); Flag.resize (Num.size ()); for (int i = 0; i < flag.size (); ++i) flag[i] = false; COMBINATIONSUM2 (num, 0, Ivec, target, 0); return Ivvec; } void CombinationSum2 (vector<int> &num, int beg, vector<int> ivec, int target, int sum) { if (sum > Target) return; if (sum = = target) {ivvec.push_back (Ivec); Return } for (int idx = beg; idx < num.size (); ++idx) {if (sum + NUM[IDX] > target) Conti Nue if (idx! = 0 && Num[idx] = = Num[idx-1] && flag[idx-1] = = false) continue; FLAG[IDX] = true; Ivec.pusH_back (Num[idx]); COMBINATIONSUM2 (num, idx + 1, Ivec, target, sum + num[idx]); Ivec.pop_back (); FLAG[IDX] = false; } }};
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[Leetcode] Combination Sum and Combination sumii