Lilght Oj 1259 Goldbach's Conjecture Solution

 ///La ilaha illellahu muhammadur rasulullah

///******Bismillahir-Rahmanir-Rahim******///

///Abul Hasnat  Tonmoy

///Department of CSE,23rd batch

    ///Islamic University,Bangladesh

    Solution in c++:

    #include<bits/stdc++.h>
    #define M 10000009
    typedef long long ll;
    using namespace std;
    bool marked[M];
    vector<ll>prime;
    void sieve(ll n)
    {
        for(ll i=4; i<=n; i+=2)
            marked[i]=true;
        for(ll i=3; i*i<=n; i+=2)
        {
            if(marked[i]==false)
            {
                for(ll j=i*i; j<=n; j+=i)
                {
                    marked[j]=true;
                }
            }
        }
        prime.push_back(2);
        marked[2]=false;
        for(ll i=3; i<=n; i+=2)
        {
            if(marked[i]==false)
            {
                prime.push_back(i);

            }
        }
    }
    main()
    {
        ll n,cnt,k,i,t,d;
        sieve(M);
        cin>>t;
        for(k=1; k<=t; k++)
        {
            cnt=0;
            cin>>n;
            for(i=0; prime[i]<=n/2;i++)
            {
                d=n-prime[i];
                if(marked[d]==false)
                    cnt++;
            }
            printf("Case %d: %d\n",k,cnt);
        }
    }

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