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#include <iostream>
#include <vector>
vector<int> primeSieve(int n) {
vector<int> primes;
vector<bool> isPrime(n,true);
for(int i = 2; i < n; i+=2) {
if(i*i <= n) {
if(isPrime[i]) {
primes.push_back(i);
for(int j = 2; i*j < n; j++) {
isPrime[i*j] = false;
}
}
}
else {
if(isPrime[i])
primes.push_back(i);
}
if(i == 2)
i--;
}
return primes;
}
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