Subsets

Given a set of distinct integers, S, return all possible subsets.

Note:

  • Elements in a subset must be in non-descending order.
  • The solution set must not contain duplicate subsets.

For example, If S = [1,2,3], a solution is:

[
[3],
[1],
[2],
[1,2,3],
[1,3],
[2,3],
[1,2],
[]
]

思想: 顺序读,取前面的每个子集,把该位置数放后面作为新的子集。
class Solution {
public:
vector<vector<int> > subsets(vector<int> &S) {
sort(S.begin(), S.end());
vector<vector<int> > vec(1);
for(size_t id = 0; id < S.size(); ++id) {
int n = vec.size();
while(n-- > 0) {
vec.push_back(vec[n]);
vec.back().push_back(S[id]);
}
}
return vec;
}
};

Subsets II

Given a collection of integers that might contain duplicates, S, return all possible subsets.

Note:

  • Elements in a subset must be in non-descending order.
  • The solution set must not contain duplicate subsets.

For example, If S = [1,2,2], a solution is:

[
[2],
[1],
[1,2,2],
[2,2],
[1,2],
[]
]
思想: 排序后,按照 1 的方法。但是若前面的数字与本数字相同,则只读取含有前面数字的每个子集,把自身放在后面作为一个新的子集。
class Solution {
public:
vector<vector<int> > subsetsWithDup(vector<int> &S) {
sort(S.begin(), S.end());
vector<vector<int> > vec(1);
size_t prePos, endTag;
prePos = endTag = 0;
for(size_t id = 0; id < S.size(); ++id) {
if(id > 0 && S[id] != S[id-1]) endTag = 0;
else endTag = prePos;
size_t n = vec.size();
prePos = n;
while(n > endTag) {
--n;
vec.push_back(vec[n]);
vec.back().push_back(S[id]);
}
}
return vec;
}
};
												

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