#ifdef __GNUC__ #pragma GCC optimize ("O3") #pragma GCC target ("avx") #endif #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include //#include //x C++ (G++ 4.6.4) #include #include #include #include #include #include #include //assert(); #include #include ///////// #define REP(i, x, n) for(int i = x; i < n; i++) #define rep(i,n) REP(i,0,n) ///////// typedef long long LL; typedef long double LD; typedef unsigned long long ULL; #define PII pair ///////// using namespace::std; // 最大公約数 template inline T gcd(T a, T b){return b == 0 ? a : gcd(b, a % b);} // 最小公倍数 template inline T lcm(T a, T b){return a * b / gcd(a, b);} //////////////////////////////// vector SerNum; vector SerVal(3,0); int MaxDepth; LL MinDfs = (LL)100000000000000; //pos, void dfs(int pos, vector& vv){ if( pos >= MaxDepth ){ if( vv[0] == 1 || vv[1] == 1 || vv[2] == 1 ) return; LL temp = vv[0]+vv[1]+vv[2]; if( temp < MinDfs ){ MinDfs = temp; SerVal = vv; } return; } if( MinDfs < vv[0]+vv[1]+vv[2] ) return; for(int i=0;i<3;++i){ vv[i] *= SerNum[pos]; dfs(pos+1,vv); vv[i] /= SerNum[pos]; } } inline void solve(){ LL N; cin >> N; int CountAll = 0; int Count = 0; vector prime; vector P; LL T = N; if( T % 2 == 0 ){ prime.push_back(2); P.push_back(0); while(T%2 == 0 ){ T /= 2; P[Count]++; ++CountAll; } ++Count; } for(LL i=3;i*i<=T;i+=2){ if( T % i == 0 ){ prime.push_back(i); P.push_back(0); while( T% i == 0 ){ T /= i; P[Count]++; ++CountAll; } ++Count; } } if( T != 1 ){ prime.push_back(T); P.push_back(1); ++Count; ++CountAll; } T = 0; // if( CountAll == 1 ){ cout << N-1 << ' ' << N-1 << endl; return; } if( CountAll == 2){ vector ans(3); for(int i=0;i ans(3,1); int SerCount = 0; for(int i=0;i= 3 ){//!? ans[0] *= prime[i]; ans[1] *= prime[i]; ans[2] *= prime[i]; P[i] -= 3; }*/ if( P[i] ){ SerCount++; while(P[i] ){ SerNum.push_back(prime[i]); P[i]--; } } } MaxDepth = SerNum.size(); if( MaxDepth == 0 ){ LL temp = 0; for(int i=0;i<3;++i){ temp += ans[i]-1; } cout << temp << ' ' << N-1 << endl; return; } vector val(3,1); ans[0] *= SerNum[0]; dfs(1,ans); LL temp = 0; for(int i=0;i<3;++i){ temp += SerVal[i]-1; } cout << temp << ' ' << N-1 << endl; } int main(void){ std::cin.tie(0); std::ios::sync_with_stdio(false); //std::cout << std::fixed;//小数を10進数表示 //cout << setprecision(16);//小数をいっぱい表示する。16? solve(); return 0; }