Cod sursa(job #2947092)

Utilizator TheRomulusIvan Remus TheRomulus Data 25 noiembrie 2022 18:08:10
Problema Ciurul lui Eratosthenes Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.06 kb
#include <iostream>
#include <fstream>
#include <algorithm>
#include <cmath>

#include <string>
#include <vector>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <deque>
#include <queue>
#include <stack>

using namespace std;

ifstream fin("ciur.in");
ofstream fout("ciur.out");

typedef long long ll;

//computes the chiur of Eratosthenes for finding the prime numbers
vector<bool> computePrimes(const int& n) {
    vector<bool> isPrime(n + 1, 1);
    isPrime[0] = isPrime[1] = 0;
    for (int i = 2; i * i <= n; ++i) {
        if (isPrime[i]) {
            int multiple = 2 * i;
            while (multiple <= n) {
                isPrime[multiple] = 0;
                multiple += i;
            }
        }
    }
    return isPrime;
}
void Solve() {
    int n, ans = 0;
    fin >> n;
    auto isPrime = computePrimes(n);
    for (int i = 2; i <= n; ++i) {
        ans += isPrime[i];
    }
    fout << ans;
}

int main() {

    ios_base::sync_with_stdio(false);

    Solve();

    return 0;
}