This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
#include <numeric>
using namespace std;
bool splitArrayHelper(const vector<int>& nums, int index, int sum1, int sum2, vector<int>& arr1, vector<int>& arr2) {
int size = nums.size();
if (index == size) {
return sum1 == sum2;
}
arr1.push_back(nums[index]);
if (splitArrayHelper(nums, index + 1, sum1 + nums[index], sum2, arr1, arr2)) {
return true;
}
arr1.pop_back();
arr2.push_back(nums[index]);
if (splitArrayHelper(nums, index + 1, sum1, sum2 + nums[index], arr1, arr2)) {
return true;
}
arr2.pop_back();
return false;
}
bool splitArray(const vector<int>& nums, vector<int>& arr1, vector<int>& arr2) {
int sum1 = 0, sum2 = 0;
return splitArrayHelper(nums, 0, sum1, sum2, arr1, arr2);
}
int main()
{
int n;
cin >> n;
vector<int> arr;
vector<int> arr2,arr3;
vector<int> res;
for (int i = 0; i < n; i++) {
int a;
cin >> a;
arr.push_back(a);
}
int sum = accumulate(arr.begin(), arr.end(), 0);
bool ruined = false;
for (int i = 1; i<=sum; i++){
ruined = false;
int size = arr.size();
if (size > n){
arr.erase(arr.begin() + ((int) (arr.size() - 1)));
}
arr.push_back(i);
for (int k = 0; k<=n; k++){
vector<int> darr = arr;
darr.erase(darr.begin()+k);
if (splitArray(darr, arr2, arr3) == false){
ruined = true;
break;
}
arr2.clear();
arr3.clear();
}
if (ruined == false){
res.push_back(i);
}
}
cout << res.size()<<endl;
if (res.size()>0){
for (const auto& element : res){
cout << element << " ";
}
}
return 0;
}
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