Submission #245260

#TimeUsernameProblemLanguageResultExecution timeMemory
245260eohomegrownappsToys (CEOI18_toy)C++14
59 / 100
2254 ms262148 KiB
#include <bits/stdc++.h>
using namespace std;

pair<int,int> factors[100]; //(val, cnt)
int ptr = 0;

void calculateFactors(int n){
	int i = 2;
	while (i*i<=n){
		if (n%i==0){
			int fac = i;
			int cnt = 0;
			while (n%i==0){
				n/=i;
				cnt++;
			}
			factors[ptr]={fac,cnt};
			ptr++;
		}
		i+=1;
	}
	if (n!=1){
		factors[ptr]={n,1};
		ptr++;
	}
}

int vals[1000000];
int ptrv = 0;

void recurse(int ind, int minval, int curval, int runningtotal){
	//cout<<ind<<" "<<curval<<" "<<minval<<" "<<runningtotal<<'\n';
	if (ind==ptr){
		//cout<<"reached end with "<<curval<<'\n';

		//have we used everything?
		bool yes = true;
		for (int i = 0; i<ptr; i++){
			if (factors[i].second!=0){
				yes=false;break;
			}
		}
		if (yes){
			//we have.
			vals[ptrv]=(runningtotal+(curval-1)-1);
			ptrv++;
			return;
		}
		if (curval==1){
			return;
			//don't care
		}
		//current total in curval
		if (curval<minval){
			return;
		}
		recurse(0, curval, 1, runningtotal+(curval-1));
		return;
	}
	int pv = 1;
	for (int i = 0; i<=factors[ind].second; i++){
		factors[ind].second-=i;
		recurse(ind+1, minval, curval*pv, runningtotal);
		factors[ind].second+=i;
		pv*=factors[ind].first;
	}
}

int main(){
	cin.tie(0);
	ios_base::sync_with_stdio(0);
	int n;
	cin>>n;
	calculateFactors(n);
	/*for (auto p : factors){
		cout<<p.first<<' '<<p.second<<'\n';
	}*/
	recurse(0,1,1,1);
	sort(vals,vals+ptrv);
	int end = unique(vals,vals+ptrv)-vals;
	cout<<end<<'\n';
	for (int i = 0; i<end; i++){
		cout<<vals[i]<<' ';
	}cout<<'\n';
}
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