Силовой набор большого набора
Я должен рассчитать мощность набора, который может иметь больше элементов до 10^5, Я попробовал алгоритм и код ниже, но это не удалось (я думаю, что вызывают большое значение pow(2, size)).
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");
}
}
Есть ли другой алгоритм или как я могу это исправить (если это возможно) ??
ИЛИ ЖЕ
Can you suggest me how to do it i.e. finding subset of large set.
Как указано в ответе, кажется, я застрял в
X-Y проблема. В принципе, мне нужна сумма всех подмножеств любого набора. Теперь, если вы можете предложить мне любой другой подход к решению проблемы.
Спасибо.
Решение
Вот алгоритм, который распечатает набор мощности любого набора, который уместится в памяти вашего компьютера.
Если будет достаточно времени, он напечатает набор мощности из набора длиной 10 ^ 5.
Тем не менее, «достаточно времени» будет что-то вроде нескольких триллионов миллиардов миллиардов лет.
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;
}
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второй блок питания (10 предметов)
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Другие решения
Так как количество элементов в наборе может быть увеличено 10^5 и, следовательно, размер набора будет идти до 2^(10^5) который огромен Вы можете просто распечатать его или, если хотите сохранить, сохранить в файле.
Это невозможно, так как вы сами указали, что блок питания содержит pow(2, size) нет элементов. Вам необходимо распечатать весь набор, что можно сделать только путем генерации набора с использованием backtrackingНет ничего лучше.
Однако найти сумму всех подмножеств данного множества — более простая задача.
Если количество элементов равно n, то каждый элемент в массиве встречается 2^(n-1) раз в наборе мощности.
Псевдокод:
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;
Вам понадобится Big Integer Library для больших значений n,