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Copy pathAll Prime factors
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All Prime factors
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//{ Driver Code Starts
// Initial Template for C++
#include <bits/stdc++.h>
using namespace std;
// } Driver Code Ends
// User function Template for C++
class Solution {
public:
void sieve() {
// vector<bool> isPrime,int N
// isPrime[0]=false;
// isPrime[1]=false;
// for(int i=2;i*i<=N;i++){
// if(isPrime[i]){
// for(int j=2*i;j<=N;j+=i){
// isPrime[j]=false;
// }
// }
// }
}
vector<int> findPrimeFactors(int N) {
vector<bool> isPrime(N+1,true);
// sieve(isPrime,N);
isPrime[0]=false;
isPrime[1]=false;
for(int i=2;i*i<=N;i++){
if(isPrime[i]){
for(int j=2*i;j<=N;j+=i){
isPrime[j]=false;
}
}
}
unordered_set<int> st;
vector<int> ans;
for(int i=0;i<=N && N>0;i++){
if(isPrime[i]){
while(N%i==0){
ans.push_back(i);
N/=i;
}
}
}
// vector<int> ans;
// for(auto i:st){
// ans.push_back(i);
// }
sort(ans.begin(),ans.end());
return ans;
}
};
//{ Driver Code Starts.
int main() {
int t = 1;
cin >> t;
// freopen ("output_gfg.txt", "w", stdout);
while (t--) {
// Input
int n;
cin >> n;
Solution obj;
obj.sieve();
vector<int> vec = obj.findPrimeFactors(n);
for (int i = 0; i < vec.size(); i++) {
cout << vec[i] << " ";
}
cout << endl;
// cout << "~\n";
}
// fclose(stdout);
return 0;
}
// } Driver Code Ends