#include <iostream> #include <vector> #include <cstdio> #include <sstream> #include <map> #include <string> #include <algorithm> #include <queue> #include <cmath> #include <functional> #include <set> #include <ctime> #include <random> #include <chrono> #include <cassert> #include <tuple> #include <utility> using namespace std; namespace { using Integer = long long; //__int128; template<class T, class S> istream& operator >> (istream& is, pair<T,S>& p){return is >> p.first >> p.second;} template<class T> istream& operator >> (istream& is, vector<T>& vec){for(T& val: vec) is >> val; return is;} template<class T> istream& operator , (istream& is, T& val){ return is >> val;} template<class T, class S> ostream& operator << (ostream& os, const pair<T,S>& p){return os << p.first << " " << p.second;} template<class T> ostream& operator << (ostream& os, const vector<T>& vec){for(size_t i=0; i<vec.size(); i++) os << vec[i] << (i==vec.size()-1?"":" "); return os;} template<class T> ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template<class H> void print(const H& head){ cout << head; } template<class H, class ... T> void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template<class ... T> void println(const T& ... values){ print(values...); cout << endl; } template<class H> void eprint(const H& head){ cerr << head; } template<class H, class ... T> void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template<class ... T> void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count()); template<class T> string join(const vector<T>& v, const string& sep){ stringstream ss; for(size_t i=0; i<v.size(); i++){ if(i>0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; int main(){ long long n; cin >> n; if(false){ vector<vector<pair<long long, vector<int>>>> dp(1<<n, vector<pair<long long, vector<int>>>(n, {1ll<<50, {}})); dp[1][0] = {0, {-1}}; for(int i=0; i<(1<<n); i++){ for(int j=0; j<n; j++){ for(int k=0; k<n; k++){ if((i>>k)&1) continue; if(dp[i|1<<k][k].first > dp[i][j].first + (j+1ll) * (k+1ll)){ dp[i|1<<k][k].first = dp[i][j].first + (j+1ll) * (k+1ll); dp[i|1<<k][k].second = dp[i][j].second; dp[i|1<<k][k].second.push_back(-k-1); } } } } pair<long long,vector<int>> ans = {1ll<<50, {}}; for(int i=0; i<n; i++){ if(ans.first > dp[(1<<n)-1][i].first + i+1){ ans = dp[(1<<n)-1][i]; ans.first += i+1; } } println(ans); } //https://oeis.org/A110611 { if(n == 1) println(0); else if(n%2 == 0){ println((n*n*n + 3*n*n + 5*n - 6) / 6); }else{ println((n*n*n + 3*n*n + 5*n - 3) / 6); } } return 0; }