大型机组的动力装置
Power set of large set
我必须计算集合的幂集，该集合可能具有更多的元素，直到10^5。我尝试了一个算法和下面的代码，但失败了（我认为是pow(2, size)的值太大）。
void printPowerSet(int *set, int set_size)
{
unsigned int pow_set_size = pow(2, set_size);
int counter, j,sum=0;
for(counter = 0; counter < pow_set_size; counter++)
{
for(j = 0; j < set_size; j++)
{
if(counter & (1<<j))
std::cout<<set[i]<<" ";
}
std::cout<<sum;
sum=0;
printf("n");
}
}
有其他算法吗？或者我如何修复这个算法（如果可能的话）？？
或Can you suggest me how to do it i.e. finding subset of large set.
正如回答中所指出的，我似乎陷入了困境X-Y问题。基本上，我需要任何集合的所有子集的和。现在，如果你能给我建议任何其他方法来解决这个问题。
非常感谢。
这里有一个算法，它将打印出适合您计算机内存的任何集的幂集。
如果有足够的时间，它将打印一组10^5长度的幂集。
然而，"足够的时间"将是数万亿亿年。
c++14
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#include <iostream>
void printPowerset (const vector<int>& original_set)
{
auto print_set = [&original_set](auto first, auto last) -> ostream&
{
cout << '(';
auto sep = "";
for ( ; first != last ; ++first, sep = ",")
{
cout << sep << original_set[(*first) - 1];
}
return cout << ')';
};
const int n = original_set.size();
std::vector<int> index_stack(n + 1, 0);
int k = 0;
while(1){
if (index_stack[k]<n){
index_stack[k+1] = index_stack[k] + 1;
k++;
}
else{
index_stack[k-1]++;
k--;
}
if (k==0)
break;
print_set(begin(index_stack) + 1, begin(index_stack) + 1 + k);
}
print_set(begin(index_stack), begin(index_stack)) << endl;
}
int main(){
auto nums = vector<int> { 2, 4, 6, 8 };
printPowerset(nums);
nums = vector<int> { 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 };
printPowerset(nums);
return 0;
}
预期结果：
第一台发电机组（4项）：
(2)(2,4)(2,4,6)(2,4,6,8)(2,4,8)(2,6)(2,6,8)(2,8)(4)(4,6)(4,6,8)(4,8)(6)(6,8)(8)()
第二套电源（10件）
(2)(2,4)(2,4,6)(2,4,6,8)(2,4,6,8,10)(2,4,6,8,10,12)(2,4,6,8,10,12,14)(2,4,6,8,10,12,14,16)(2,4,6,8,10,12,14,16,18)(2,4,6,8,10,12,14,16,18,20)(2,4,6,8,10,12,14,16,20)(2,4,6,8,10,12,14,18)(2,4,6,8,10,12,14,18,20)(2,4,6,8,10,12,14,20)(2,4,6,8,10,12,16)(2,4,6,8,10,12,16,18)(2,4,6,8,10,12,16,18,20)(2,4,6,8,10,12,16,20)(2,4,6,8,10,12,18)(2,4,6,8,10,12,18,20)(2,4,6,8,10,12,20)(2,4,6,8,10,14)(2,4,6,8,10,14,16)(2,4,6,8,10,14,16,18)(2,4,6,8,10,14,16,18,20)(2,4,6,8,10,14,16,20)(2,4,6,8,10,14,18)(2,4,6,8,10,14,18,20)(2,4,6,8,10,14,20)(2,4,6,8,10,16)(2,4,6,8,10,16,18)(2,4,6,8,10,16,18,20)(2,4,6,8,10,16,20)(2,4,6,8,10,18)(2,4,6,8,10,18,20)(2,4,6,8,10,20)(2,4,6,8,12)(2,4,6,8,12,14)(2,4,6,8,12,14,16)(2,4,6,8,12,14,16,18)(2,4,6,8,12,14,16,18,20)(2,4,6,8,12,14,16,20)(2,4,6,8,12,14,18)(2,4,6,8,12,14,18,20)(2,4,6,8,12,14,20)(2,4,6,8,12,16)(2,4,6,8,12,16,18)(2,4,6,8,12,16,18,20)(2,4,6,8,12,16,20)(2,4,6,8,12,18)(2,4,6,8,12,18,20)(2,4,6,8,12,20)(2,4,6,8,14)(2,4,6,8,14,16)(2,4,6,8,14,16,18)(2,4,6,8,14,16,18,20)(2,4,6,8,14,16,20)(2,4,6,8,14,18)(2,4,6,8,14,18,20)(2,4,6,8,14,20)(2,4,6,8,16)(2,4,6,8,16,18)(2,4,6,8,16,18,20)(2,4,6,8,16,20)(2,4,6,8,18)(2,4,6,8,18,20)(2,4,6,8,20)(2,4,6,10)(2,4,6,10,12)(2,4,6,10,12,14)(2,4,6,10,12,14,16)(2,4,6,10,12,14,16,18)(2,4,6,10,12,14,16,18,20)(2,4,6,10,12,14,16,20)(2,4,6,10,12,14,18)(2,4,6,10,12,14,18,20)(2,4,6,10,12,14,20)(2,4,6,10,12,16)(2,4,6,10,12,16,18)(2,4,6,10,12,16,18,20)(2,4,6,10,12,16,20)(2,4,6,10,12,18)(2,4,6,10,12,18,20)(2,4,6,10,12,20)(2,4,6,10,14)(2,4,6,10,14,16)(2,4,6,10,14,16,18)(2,4,6,10,14,16,18,20)(2,4,6,10,14,16,20)(2,4,6,10,14,18)(2,4,6,10,14,18,20)(2,4,6,10,14,20)(2,4,6,10,16)(2,4,6,10,16,18)(2,4,6,10,16,18,20)(2,4,6,10,16,20)(2,4,6,10,18)(2,4,6,10,18,20)(2,4,6,10,20)(2,4,6,12)(2,4,6,12,14)(2,4,6,12,14,16)(2,4,6,12,14,16,18)(2,4,6,12,14,16,18,20)(2,4,6,12,14,16,20)(2,4,6,12,14,18)(2,4,6,12,14,18,20)(2,4,6,12,14,20)(2,4,6,12,16)(2,4,6,12,16,18)(2,4,6,12,16,18,20)(2,4,6,12,16,20)(2,4,6,12,18)(2,4,6,12,18,20)(2,4,6,12,20)(2,4,6,14)(2,4,6,14,16)(2,4,6,14,16,18)(2,4,6,14,16,18,20)(2,4,6,14,16,20)(2,4,6,14,18)(2,4,6,14,18,20)(2,4,6,14,20)(2,4,6,16)(2,4,6,16,18)(2,4,6,16,18,20)(2,4,6,16,20)(2,4,6,18)(2,4,6,18,20)(2,4,6,20)(2,4,8)(2,4,8,10)(2,4,8,10,12)(2,4,8,10,12,14)(2,4,8,10,12,14,16)(2,4,8,10,12,14,16,18)(2,4,8,10,12,14,16,18,20)(2,4,8,10,12,14,16,20)(2,4,8,10,12,14,18)(2,4,8,10,12,14,18,20)(2,4,8,10,12,14,20)(2,4,8,10,12,16)(2,4,8,10,12,16,18)(2,4,8,10,12,16,18,20)(2,4,8,10,12,16,20)(2,4,8,10,12,18)(2,4,8,10,12,18,20)(2,4,8,10,12,20)(2,4,8,10,14)(2,4,8,10,14,16)(2,4,8,10,14,16,18)(2,4,8,10,14,16,18,20)(2,4,8,10,14,16,20)(2,4,8,10,14,18)(2,4,8,10,14,18,20)(2,4,8,10,14,20)(2,4,8,10,16)(2,4,8,10,16,18)(2,4,8,10,16,18,20)(2,4,8,10,16,20)(2,4,8,10,18)(2,4,8,10,18,20)(2,4,8,10,20)(2,4,8,12)(2,4,8,12,14)(2,4,8,12,14,16)(2,4,8,12,14,16,18)(2,4,8,12,14,16,18,20)(2,4,8,12,14,16,20)(2,4,8,12,14,18)(2,4,8,12,14,18,20)(2,4,8,12,14,20)(2,4,8,12,16)(2,4,8,12,16,18)(2,4,8,12,16,18,20)(2,4,8,12,16,20)(2,4,8,12,18)(2,4,8,12,18,20)(2,4,8,12,20)(2,4,8,14)(2,4,8,14,16)(2,4,8,14,16,18)(2,4,8,14,16,18,20)(2,4,8,14,16,20)(2,4,8,14,18)(2,4,8,14,18,20)(2,4,8,14,20)(2,4,8,16)(2,4,8,16,18)(2,4,8,16,18,20)(2,4,8,16,20)(2,4,8,18)(2,4,8,18,20)(2,4,8,20)(2,4,10)(2,4,10,12)(2,4,10,12,14)(2,4,10,12,14,16)(2,4,10,12,14,16,18)(2,4,10,12,14,16,18,20)(2,4,10,12,14,16,20)(2,4,10,12,14,18)(2,4,10,12,14,18,20)(2,4,10,12,14,20)(2,4,10,12,16)(2,4,10,12,16,18)(2,4,10,12,16,18,20)(2,4,10,12,16,20)(2,4,10,12,18)(2,4,10,12,18,20)(2,4,10,12,20)(2,4,10,14)(2,4,10,14,16)(2,4,10,14,16,18)(2,4,10,14,16,18,20)(2,4,10,14,16,20)(2,4,10,14,18)(2,4,10,14,18,20)(2,4,10,14,20)(2,4,10,16)(2,4,10,16,18)(2,4,10,16,18,20)(2,4,10,16,20)(2,4,10,18)(2,4,10,18,20)(2,4,10,20)(2,4,12)(2,4,12,14)(2,4,12,14,16)(2,4,12,14,16,18)(2,4,12,14,16,18,20)(2,4,12,14,16,20)(2,4,12,14,18)(2,4,12,14,18,20)(2,4,12,14,20)(2,4,12,16)(2,4,12,16,18)(2,4,12,16,18,20)(2,4,12,16,20)(2,4,12,18)(2,4,12,18,20)(2,4,12,20)(2,4,14)(2,4,14,16)(2,4,14,16,18)(2,4,14,16,18,20)(2,4,14,16,20)(2,4,14,18)(2,4,14,18,20)(2,4,14,20)(2,4,16)(2,4,16,18)(2,4,16,18,20)(2,4,16,20)(2,4,18)(2,4,18,20)(2,4,20)(2,6)(2,6,8)(2,6,8,10)(2,6,8,10,12)(2,6,8,10,12,14)(2,6,8,10,12,14,16)(2,6,8,10,12,14,16,18)(2,6,8,10,12,14,16,18,20)(2,6,8,10,12,14,16,20)(2,6,8,10,12,14,18)(2,6,8,10,12,14,18,20)(2,6,8,10,12,14,20)(2,6,8,10,12,16)(2,6,8,10,12,16,18)(2,6,8,10,12,16,18,20)(2,6,8,10,12,16,20)(2,6,8,10,12,18)(2,6,8,10,12,18,20)(2,6,8,10,12,20)(2,6,8,10,14)(2,6,8,10,14,16)(2,6,8,10,14,16,18)(2,6,8,10,14,16,18,20)(2,6,8,10,14,16,20)(2,6,8,10,14,18)(2,6,8,10,14,18,20)(2,6,8,10,14,20)(2,6,8,10,16)(2,6,8,10,16,18)(2,6,8,10,16,18,20)(2,6,8,10,16,20)(2,6,8,10,18)(2,6,8,10,18,20)(2,6,8,10,20)(2,6,8,12)(2,6,8,12,14)(2,6,8,12,14,16)(2,6,8,12,14,16,18)(2,6,8,12,14,16,18,20)(2,6,8,12,14,16,20)(2,6,8,12,14,18)(2,6,8,12,14,18,20)(2,6,8,12,14,20)(2,6,8,12,16)(2,6,8,12,16,18)(2,6,8,12,16,18,20)(2,6,8,12,16,20)(2,6,8,12,18)(2,6,8,12,18,20)(2,6,8,12,20)(2,6,8,14)(2,6,8,14,16)(2,6,8,14,16,18)(2,6,8,14,16,18,20)(2,6,8,14,16,20)(2,6,8,14,18)(2,6,8,14,18,20)(2,6,8,14,20)(2,6,8,16)(2,6,8,16,18)(2,6,8,16,18,20)(2,6,8,16,20)(2,6,8,18)(2,6,8,18,20)(2,6,8,20)(2,6,10)(2,6,10,12)(2,6,10,12,14)(2,6,10,12,14,16)(2,6,10,12,14,16,18)(2,6,10,12,14,16,18,20)(2,6,10,12,14,16,20)(2,6,10,12,14,18)(2,6,10,12,14,18,20)(2,6,10,12,14,20)(2,6,10,12,16)(2,6,10,12,16,18)(2,6,10,12,16,18,20)(2,6,10,12,16,20)(2,6,10,12,18)(2,6,10,12,18,20)(2,6,10,12,20)(2,6,10,14)(2,6,10,14,16)(2,6,10,14,16,18)(2,6,10,14,16,18,20)(2,6,10,14,16,20)(2,6,10,14,18)(2,6,10,14,18,20)(2,6,10,14,20)(2,6,10,16)(2,6,10,16,18)(2,6,10,16,18,20)(2,6,10,16,20)(2,6,10,18)(2,6,10,18,20)(2,6,10,20)(2,6,12)(2,6,12,14)(2,6,12,14,16)(2,6,12,14,16,18)(2,6,12,14,16,18,20)(2,6,12,14,16,20)(2,6,12,14,18)(2,6,12,14,18,20)(2,6,12,14,20)(2,6,12,16)(2,6,12,16,18)(2,6,12,16,18,20)(2,6,12,16,20)(2,6,12,18)(2,6,12,18,20)(2,6,12,20)(2,6,14)(2,6,14,16)(2,6,14,16,18)(2,6,14,16,18,20)(2,6,14,16,20)(2,6,14,18)(2,6,14,18,20)(2,6,14,20)(2,6,16)(2,6,16,18)(2,6,16,18,20)(2,6,16,20)(2,6,18)(2,6,18,20)(2,6,20)(2,8)(2,8,10)(2,8,10,12)(2,8,10,12,14)(2,8,10,12,14,16)(2,8,10,12,14,16,18)(2,8,10,12,14,16,18,20)(2,8,10,12,14,16,20)(2,8,10,12,14,18)(2,8,10,12,14,18,20)(2,8,10,12,14,20)(2,8,10,12,16)(2,8,10,12,16,18)(2,8,10,12,16,18,20)(2,8,10,12,16,20)(2,8,10,12,18)(2,8,10,12,18,20)(2,8,10,12,20)(2,8,10,14)(2,8,10,14,16)(2,8,10,14,16,18)(2,8,10,14,16,18,20)(2,8,10,14,16,20)(2,8,10,14,18)(2,8,10,14,18,20)(2,8,10,14,20)(2,8,10,16)(2,8,10,16,18)(2,8,10,16,18,20)(2,8,10,16,20)(2,8,10,18)(2,8,10,18,20)(2,8,10,20)(2,8,12)(2,8,12,14)(2,8,12,14,16)(2,8,12,14,16,18)(2,8,12,14,16,18,20)(2,8,12,14,16,20)(2,8,12,14,18)(2,8,12,14,18,20)(2,8,12,14,20)(2,8,12,16)(2,8,12,16,18)(2,8,12,16,18,20)(2,8,12,16,20)(2,8,12,18)(2,8,12,18,20)(2,8,12,20)(2,8,14)(2,8,14,16)(2,8,14,16,18)(2,8,14,16,18,20)(2,8,14,16,20)(2,8,14,18)(2,8,14,18,20)(2,8,14,20)(2,8,16)(2,8,16,18)(2,8,16,18,20)(2,8,16,20)(2,8,18)(2,8,18,20)(2,8,20)(2,10)(2,10,12)(2,10,12,14)(2,10,12,14,16)(2,10,12,14,16,18)(2,10,12,14,16,18,20)(2,10,12,14,16,20)(2,10,12,14,18)(2,10,12,14,18,20)(2,10,12,14,20)(2,10,12,16)(2,10,12,16,18)(2,10,12,16,18,20)(2,10,12,16,20)(2,10,12,18)(2,10,12,18,20)(2,10,12,20)(2,10,14)(2,10,14,16)(2,10,14,16,18)(2,10,14,16,18,20)(2,10,14,16,20)(2,10,14,18)(2,10,14,18,20)(2,10,14,20)(2,10,16)(2,10,16,18)(2,10,16,18,20)(2,10,16,20)(2,10,18)(2,10,18,20)(2,10,20)(2,12)(2,12,14)(2,12,14,16)(2,12,14,16,18)(2,12,14,16,18,20)(2,12,14,16,20)(2,12,14,18)(2,12,14,18,20)(2,12,14,20)(2,12,16)(2,12,16,18)(2,12,16,18,20)(2,12,16,20)(2,12,18)(2,12,18,20)(2,12,20)(2,14)(2,14,16)(2,14,16,18)(2,14,16,18,20)(2,14,16,20)(2,14,18)(2,14,18,20)(2,14,20)(2,16)(2,16,18)(2,16,18,20)(2,16,20)(2,18)(2,18,20)(2,20)(4)(4,6)(4,6,8)(4,6,8,10)(4,6,8,10,12)(4,6,8,10,12,14)(4,6,8,10,12,14,16)(4,6,8,10,12,14,16,18)(4,6,8,10,12,14,16,18,20)(4,6,8,10,12,14,16,20)(4,6,8,10,12,14,18)(4,6,8,10,12,14,18,20)(4,6,8,10,12,14,20)(4,6,8,10,12,16)(4,6,8,10,12,16,18)(4,6,8,10,12,16,18,20)(4,6,8,10,12,16,20)(4,6,8,10,12,18)(4,6,8,10,12,18,20)(4,6,8,10,12,20)(4,6,8,10,14)(4,6,8,10,14,16)(4,6,8,10,14,16,18)(4,6,8,10,14,16,18,20)(4,6,8,10,14,16,20)(4,6,8,10,14,18)(4,6,8,10,14,18,20)(4,6,8,10,14,20)(4,6,8,10,16)(4,6,8,10,16,18)(4,6,8,10,16,18,20)(4,6,8,10,16,20)(4,6,8,10,18)(4,6,8,10,18,20)(4,6,8,10,20)(4,6,8,12)(4,6,8,12,14)(4,6,8,12,14,16)(4,6,8,12,14,16,18)(4,6,8,12,14,16,18,20)(4,6,8,12,14,16,20)(4,6,8,12,14,18)(4,6,8,12,14,18,20)(4,6,8,12,14,20)(4,6,8,12,16)(4,6,8,12,16,18)(4,6,8,12,16,18,20)(4,6,8,12,16,20)(4,6,8,12,18)(4,6,8,12,18,20)(4,6,8,12,20)(4,6,8,14)(4,6,8,14,16)(4,6,8,14,16,18)(4,6,8,14,16,18,20)(4,6,8,14,16,20)(4,6,8,14,18)(4,6,8,14,18,20)(4,6,8,14,20)(4,6,8,16)(4,6,8,16,18)(4,6,8,16,18,20)(4,6,8,16,20)(4,6,8,18)(4,6,8,18,20)(4,6,8,20)(4,6,10)(4,6,10,12)(4,6,10,12,14)(4,6,10,12,14,16)(4,6,10,12,14,16,18)(4,6,10,12,14,16,18,20)(4,6,10,12,14,16,20)(4,6,10,12,14,18)(4,6,10,12,14,18,20)(4,6,10,12,14,20)(4,6,10,12,16)(4,6,10,12,16,18)(4,6,10,12,16,18,20)(4,6,10,12,16,20)(4,6,10,12,18)(4,6,10,12,18,20)(4,6,10,12,20)(4,6,10,14)(4,6,10,14,16)(4,6,10,14,16,18)(4,6,10,14,16,18,20)(4,6,10,14,16,20)(4,6,10,14,18)(4,6,10,14,18,20)(4,6,10,14,20)(4,6,10,16)(4,6,10,16,18)(4,6,10,16,18,20)(4,6,10,16,20)(4,6,10,18)(4,6,10,18,20)(4,6,10,20)(4,6,12)(4,6,12,14)(4,6,12,14,16)(4,6,12,14,16,18)(4,6,12,14,16,18,20)(4,6,12,14,16,20)(4,6,12,14,18)(4,6,12,14,18,20)(4,6,12,14,20)(4,6,12,16)(4,6,12,16,18)(4,6,12,16,18,20)(4,6,12,16,20)(4,6,12,18)(4,6,12,18,20)(4,6,12,20)(4,6,14)(4,6,14,16)(4,6,14,16,18)(4,6,14,16,18,20)(4,6,14,16,20)(4,6,14,18)(4,6,14,18,20)(4,6,14,20)(4,6,16)(4,6,16,18)(4,6,16,18,20)(4,6,16,20)(4,6,18)(4,6,18,20)(4,6,20)(4,8)(4,8,10)(4,8,10,12)(4,8,10,12,14)(4,8,10,12,14,16)(4,8,10,12,14,16,18)(4,8,10,12,14,16,18,20)(4,8,10,12,14,16,20)(4,8,10,12,14,18)(4,8,10,12,14,18,20)(4,8,10,12,14,20)(4,8,10,12,16)(4,8,10,12,16,18)(4,8,10,12,16,18,20)(4,8,10,12,16,20)(4,8,10,12,18)(4,8,10,12,18,20)(4,8,10,12,20)(4,8,10,14)(4,8,10,14,16)(4,8,10,14,16,18)(4,8,10,14,16,18,20)(4,8,10,14,16,20)(4,8,10,14,18)(4,8,10,14,18,20)(4,8,10,14,20)(4,8,10,16)(4,8,10,16,18)(4,8,10,16,18,20)(4,8,10,16,20)(4,8,10,18)(4,8,10,18,20)(4,8,10,20)(4,8,12)(4,8,12,14)(4,8,12,14,16)(4,8,12,14,16,18)(4,8,12,14,16,18,20)(4,8,12,14,16,20)(4,8,12,14,18)(4,8,12,14,18,20)(4,8,12,14,20)(4,8,12,16)(4,8,12,16,18)(4,8,12,16,18,20)(4,8,12,16,20)(4,8,12,18)(4,8,12,18,20)(4,8,12,20)(4,8,14)(4,8,14,16)(4,8,14,16,18)(4,8,14,16,18,20)(4,8,14,16,20)(4,8,14,18)(4,8,14,18,20)(4,8,14,20)(4,8,16)(4,8,16,18)(4,8,16,18,20)(4,8,16,20)(4,8,18)(4,8,18,20)(4,8,20)(4,10)(4,10,12)(4,10,12,14)(4,10,12,14,16)(4,10,12,14,16,18)(4,10,12,14,16,18,20)(4,10,12,14,16,20)(4,10,12,14,18)(4,10,12,14,18,20)(4,10,12,14,20)(4,10,12,16)(4,10,12,16,18)(4,10,12,16,18,20)(4,10,12,16,20)(4,10,12,18)(4,10,12,18,20)(4,10,12,20)(4,10,14)(4,10,14,16)(4,10,14,16,18)(4,10,14,16,18,20)(4,10,14,16,20)(4,10,14,18)(4,10,14,18,20)(4,10,14,20)(4,10,16)(4,10,16,18)(4,10,16,18,20)(4,10,16,20)(4,10,18)(4,10,18,20)(4,10,20)(4,12)(4,12,14)(4,12,14,16)(4,12,14,16,18)(4,12,14,16,18,20)(4,12,14,16,20)(4,12,14,18)(4,12,14,18,20)(4,12,14,20)(4,12,16)(4,12,16,18)(4,12,16,18,20)(4,12,16,20)(4,12,18)(4,12,18,20)(4,12,20)(4,14)(4,14,16)(4,14,16,18)(4,14,16,18,20)(4,14,16,20)(4,14,18)(4,14,18,20)(4,14,20)(4,16)(4,16,18)(4,16,18,20)(4,16,20)(4,18)(4,18,20)(4,20)(6)(6,8)(6,8,10)(6,8,10,12)(6,8,10,12,14)(6,8,10,12,14,16)(6,8,10,12,14,16,18)(6,8,10,12,14,16,18,20)(6,8,10,12,14,16,20)(6,8,10,12,14,18)(6,8,10,12,14,18,20)(6,8,10,12,14,20)(6,8,10,12,16)(6,8,10,12,16,18)(6,8,10,12,16,18,20)(6,8,10,12,16,20)(6,8,10,12,18)(6,8,10,12,18,20)(6,8,10,12,20)(6,8,10,14)(6,8,10,14,16)(6,8,10,14,16,18)(6,8,10,14,16,18,20)(6,8,10,14,16,20)(6,8,10,14,18)(6,8,10,14,18,20)(6,8,10,14,20)(6,8,10,16)(6,8,10,16,18)(6,8,10,16,18,20)(6,8,10,16,20)(6,8,10,18)(6,8,10,18,20)(6,8,10,20)(6,8,12)(6,8,12,14)(6,8,12,14,16)(6,8,12,14,16,18)(6,8,12,14,16,18,20)(6,8,12,14,16,20)(6,8,12,14,18)(6,8,12,14,18,20)(6,8,12,14,20)(6,8,12,16)(6,8,12,16,18)(6,8,12,16,18,20)(6,8,12,16,20)(6,8,12,18)(6,8,12,18,20)(6,8,12,20)(6,8,14)(6,8,14,16)(6,8,14,16,18)(6,8,14,16,18,20)(6,8,14,16,20)(6,8,14,18)(6,8,14,18,20)(6,8,14,20)(6,8,16)(6,8,16,18)(6,8,16,18,20)(6,8,16,20)(6,8,18)(6,8,18,20)(6,8,20)(6,10)(6,10,12)(6,10,12,14)(6,10,12,14,16)(6,10,12,14,16,18)(6,10,12,14,16,18,20)(6,10,12,14,16,20)(6,10,12,14,18)(6,10,12,14,18,20)(6,10,12,14,20)(6,10,12,16)(6,10,12,16,18)(6,10,12,16,18,20)(6,10,12,16,20)(6,10,12,18)(6,10,12,18,20)(6,10,12,20)(6,10,14)(6,10,14,16)(6,10,14,16,18)(6,10,14,16,18,20)(6,10,14,16,20)(6,10,14,18)(6,10,14,18,20)(6,10,14,20)(6,10,16)(6,10,16,18)(6,10,16,18,20)(6,10,16,20)(6,10,18)(6,10,18,20)(6,10,20)(6,12)(6,12,14)(6,12,14,16)(6,12,14,16,18)(6,12,14,16,18,20)(6,12,14,16,20)(6,12,14,18)(6,12,14,18,20)(6,12,14,20)(6,12,16)(6,12,16,18)(6,12,16,18,20)(6,12,16,20)(6,12,18)(6,12,18,20)(6,12,20)(6,14)(6,14,16)(6,14,16,18)(6,14,16,18,20)(6,14,16,20)(6,14,18)(6,14,18,20)(6,14,20)(6,16)(6,16,18)(6,16,18,20)(6,16,20)(6,18)(6,18,20)(6,20)(8)(8,10)(8,10,12)(8,10,12,14)(8,10,12,14,16)(8,10,12,14,16,18)(8,10,12,14,16,18,20)(8,10,12,14,16,20)(8,10,12,14,18)(8,10,12,14,18,20)(8,10,12,14,20)(8,10,12,16)(8,10,12,16,18)(8,10,12,16,18,20)(8,10,12,16,20)(8,10,12,18)(8,10,12,18,20)(8,10,12,20)(8,10,14)(8,10,14,16)(8,10,14,16,18)(8,10,14,16,18,20)(8,10,14,16,20)(8,10,14,18)(8,10,14,18,20)(8,10,14,20)(8,10,16)(8,10,16,18)(8,10,16,18,20)(8,10,16,20)(8,10,18)(8,10,18,20)(8,10,20)(8,12)(8,12,14)(8,12,14,16)(8,12,14,16,18)(8,12,14,16,18,20)(8,12,14,16,20)(8,12,14,18)(8,12,14,18,20)(8,12,14,20)(8,12,16)(8,12,16,18)(8,12,16,18,20)(8,12,16,20)(8,12,18)(8,12,18,20)(8,12,20)(8,14)(8,14,16)(8,14,16,18)(8,14,16,18,20)(8,14,16,20)(8,14,18)(8,14,18,20)(8,14,20)(8,16)(8,16,18)(8,16,18,20)(8,16,20)(8,18)(8,18,20)(8,20)(10)(10,12)(10,12,14)(10,12,14,16)(10,12,14,16,18)(10,12,14,16,18,20)(10,12,14,16,20)(10,12,14,18)(10,12,14,18,20)(10,12,14,20)(10,12,16)(10,12,16,18)(10,12,16,18,20)(10,12,16,20)(10,12,18)(10,12,18,20)(10,12,20)(10,14)(10,14,16)(10,14,16,18)(10,14,16,18,20)(10,14,16,20)(10,14,18)(10,14,18,20)(10,14,20)(10,16)(10,16,18)(10,16,18,20)(10,16,20)(10,18)(10,18,20)(10,20)(12)(12,14)(12,14,16)(12,14,16,18)(12,14,16,18,20)(12,14,16,20)(12,14,18)(12,14,18,20)(12,14,20)(12,16)(12,16,18)(12,16,18,20)(12,16,20)(12,18)(12,18,20)(12,20)(14)(14,16)(14,16,18)(14,16,18,20)(14,16,20)(14,18)(14,18,20)(14,20)(16)(16,18)(16,18,20)(16,20)(18)(18,20)(20)()
由于集合中的元素数量可以达到10^5，因此集合的大小将达到2^(10^5)，这是巨大的。您可以打印它，也可以将它存储在文件中。
这是不可能的，正如您所指出的，您自己的功率集包含pow(2, size)个元素。您需要打印整个集合，这只能通过使用backtracking生成集合来完成，没有什么比这更好的了。
然而，求给定集合的所有子集的和是一个更简单的问题。
如果元素的数目为n，则阵列中的每个元素在幂集中出现2^(n-1)次。
伪代码：
int sum = 0;
for(int i = 0;i < n;i++){
sum += ( set[i] * ( 1 << (n-1) ) ); //pow(2, n-1) == 1 << (n-1)
}
cout << sum << endl;
如果n的值较大，则需要Big Integer Library。
相关文章：
- 如何通过单击大型机内的按钮来更改 MFC 视图
- 我可以以某种方式使我的矢量/数组动态更改装置数量吗?
- Box2D-从身体中获取固定装置的宽度，或者我什至应该尝试
- 在Google测试固定装置中使用参考代替指针
- 访问Google测试固定装置会员
- 类和对象在C++..需要一些额外的固定装置
- 大型机组的动力装置
- 何时使用包括防护装置或 #pragma 一次C++
- 喷漆装置返回引擎== 0，类型:1
- C++收割台防护装置
- Boost.Regex联动装置错误LUbuntu 14.04 g++4.8.2
- 推力装置矢量的推力装置矢量<int>
- 是否应该在氧气文件前放置包括防护装置
- C预处理器防护装置
- CUDA推力装置绑带
- 使用文本装置——谷歌测试
- NVidia推力装置_弦矢量
- MDI mfcvc++如何在大型机内切换视图
- MFC:从大型机访问视图
