DMOJ · dwite09c7p2

Sum of Primes

This C++ solution uses number theory for DMOJ dwite09c7p2 Sum of Primes. Read the reasoning, inspect the code, or try your own test case below.

dwite09c7p2MathNumber theoryC++26 lines
Solution205of 248
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Approach

Number theory

Sum of Primes matches five values and the required sum of all primes not exceeding each value.

Math

Problem and code

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Written by benbenyaojifen. Try the problem first, then compare your approach with the code.

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Implementation

2_Sum_of_Primes.cpp

C++

    #include <bits/stdc++.h>
    using namespace std;
    using ll = long long;
    using i128 = __int128;
    const int inf = 1e9;
    const ll INF = 1e18; //❄️
    const int MM = 1e5 + 5;
    int main() {
        ios::sync_with_stdio(0); cin.tie(0);
        vector<bool> prime(MM, true);
        for (int i = 2; i * i <= MM; i++) {
            if (prime[i]) {
                for (int j = i * i; j < MM; j += i) prime[j] = 0;
            }
        }
        vector<int> psa(MM);
        for (int i = 2; i < psa.size(); i++) {
            psa[i] = (prime[i] ? psa[i - 1] + i : psa[i - 1]);
        }
        int t = 5;
        while (t--) {
            int n; cin >> n;
            cout << psa[n] << '\n';
        }
        return 0;
    }
        

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