#include #include #include using namespace std; using namespace __gnu_pbds; struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator()(uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } }; typedef tree, rb_tree_tag, tree_order_statistics_node_update> pbds; // find_by_order, order_of_key //find by order-> element at ith idx(starting from 0)//gives iterator to that index//if not present *it gives 0 //order of key-> number of element less than a number #define int long long int // #define ll long long int #define loop(s, e) for(int i = s; i < e; i++) #define rloop(e, s) for(int i = e; i>= s; i--) #define v vector // #define vll vector #define printyes cout<<"YES\n" #define printno cout<<"NO\n" //COMMENT THIS FOR INTERACTIVE PROBLEMS............... #define endl '\n' #define mod 1000000007 #define pinf 1e18 #define ninf -1e18 #define printvec(arr) cout<<#arr<<"=> [ ";for(int i = 0; i < arr.size(); i++){cout< "<> #define pii pair #define pll pair #define ff first #define ss second #define pb push_back #define vpll vector #define here(i) cout<<"here "< sieve(int n) { vector prime(n+1, 1); prime[0] = 0; prime[1] = 0; for(int i = 2; i*i <= n; i++) { if(prime[i] == 1) { for(int j = i*i; j <= n; j+=i) { prime[j] = 0; } } } return prime; } void pikachu(int tt, int tc) { int n; cin>>n; vector p = sieve(n); vector primes; for(int i = 0; i <= n; i++) { if(p[i])primes.pb(i); } vector> dp(2, vector(n+1, -1)); dp[0][0] = 0; dp[0][2] = 1; for(int i = 1; i < primes.size(); i++) { for(int num = 0; num <= n; num++) { if(num - primes[i] >= 0 && dp[0][num - primes[i]] != -1) dp[1][num] = max(dp[1][num], dp[0][num-primes[i]] + 1); dp[1][num] = max(dp[1][num], dp[0][num]); } dp[0] = dp[1]; for(auto &e: dp[1])e = -1; dp[1][0] = 0; } cout<<(dp[0][n])<>gsBall; int tt = gsBall; int tc = 1; while(gsBall--) { pikachu(tt, tc); tc++; } return 0; }