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#include <iostream>
#include <vector>
 
void save(std::vector<std::vector<int> > & dest, std::vector<int> & v, int level){
    dest.push_back(std::vector<int>(v.begin(), v.begin() + level + 1));
}
 
void partition(int n, std::vector<int> & v, std::vector<std::vector<int> > & dest, int level = 0){
    int first; /* first is before last */
    if(0 == n){
        return;
    }
    v[level] = n;
    save(dest, v, level);
 
    first = (level == 0) ? 1 : v[level - 1];
 
    for(int i = first; i <= (n / 2); ++i){
        v[level] = i; /* replace last */
        partition(n - i, v, dest, level + 1);
    }
}
 
int main(int argc, char ** argv) {
	int N = 30;
 
	std::vector<int> vec(N);
	std::vector<std::vector<int> > partitions;
	// You could change N * N to minimize the number of relocations
	partitions.reserve(N * N);
 
    partition(N, vec, partitions);
 
    std::cout << "Partitions: " << partitions.size() << std::endl;
    for(std::vector<std::vector<int> >::iterator pit = partitions.begin(); pit != partitions.end(); ++pit) {
    	std::cout << '[';
    	for(std::vector<int>::iterator it = (*pit).begin(); it != (*pit).end(); ++it) {
    		std::cout << *it << '\t';
    	}
    	std::cout << ']' << std::endl;
    }
	return 0;
}

Runtime error #stdin #stdout 0.01s 3428KB

stdin

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Standard input is empty

stdout

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Partitions: 5604
[30	]
[1	29	]
[1	1	28	]
[1	1	1	27	]
[1	1	1	1	26	]
[1	1	1	1	1	25	]
[1	1	1	1	1	1	24	]
[1	1	1	1	1	1	1	23	]
[1	1	1	1	1	1	1	1	22	]
[1	1	1	1	1	1	1	1	1	21	]
[1	1	1	1	1	1	1	1	1	1	20	]
[1	1	1	1	1	1	1	1	1	1	1	19	]
[1	1	1	1	1	1	1	1	1	1	1	1	18	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	17	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	16	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	15	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	14	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	13	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	12	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	11	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	10	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	5	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	5	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	10	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	5	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	5	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	6	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	11	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	5	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	10	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	4	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	5	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	5	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	6	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	12	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	10	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	4	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	5	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	4	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	5	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	6	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	11	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	3	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	4	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	3	5	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	10	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	4	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	4	5	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	5	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	6	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	7	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	13	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	11	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	9	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	3	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	3	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	3	3	3	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	4	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	8	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	3	5	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	3	4	4	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	4	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	5	6	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	10	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	7	]
[1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	3	3	3	4	]
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[1	1	1	1	2	3	3	3	15	]
[1	1	1	1	2	3	3	3	3	12	]
[1	1	1	1	2	3	3	3	3	3	9	]
[1	1	1	1	2	3	3	3	3	3	3	6	]
[1	1	1	1	2	3	3	3	3	3	3	3	3	]
[1	1	1	1	2	3	3	3	3	3	4	5	]
[1	1	1	1	2	3	3	3	3	4	8	]
[1	1	1	1	2	3	3	3	3	4	4	4	]
[1	1	1	1	2	3	3	3	3

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