#include #include #include #include #include #include #include #include #include #define MAX_N 100001 #define INF_INT 2147483647 #define INF_LL 9223372036854775807 #define REP(i,n) for(int i=0;i<(int)(n);i++) using namespace std; typedef long long int ll; typedef pair P; void init(int n); int find(int n); void unite(int x,int y); bool same(int x, int y); ll bpow(ll,ll,ll); typedef vector vec; typedef vector mat; mat mul(mat &A,mat &B); mat pow(mat A,ll n); int dx[4] = {1,0,0,-1}; int dy[4] = {0,1,-1,0}; bool cmp_P(const P &a,const P &b){ return a.second < b.second; } bool isPrime(ll N){ ll sqr = sqrt(N)+1; if(N == 2) return true; if(N % 2 == 0) return false; for(int i=3;i<=sqr;i+=2){ if(!(N % i)) return false; } return true; } int main() { ll Tmin,Tmax,N,d=0,cnt=0,shoki,res=0; double sqr; cin >> N; Tmax = N - 1; Tmin = N - 1; shoki = N; sqr = sqrt(N)+1; vector insu(0); vector soinsu(0); if(N == 2){ cout << 1 << " " << 1 << endl; return 0; } for(int i=2;i<=sqr;i++){ if((N % i) == 0){ insu.push_back(i); if(N/i != i) insu.push_back(N/i); } } REP(i,insu.size()){ if(isPrime(insu[i])){ soinsu.push_back(insu[i]); } } sort(soinsu.begin(),soinsu.end()); soinsu.erase(unique(soinsu.begin(),soinsu.end()),soinsu.end()); REP(i,soinsu.size()){ d = N; cnt = 0; while(d % soinsu[i] == 0){ d /= soinsu[i]; cnt++; } res += cnt*(soinsu[i]-1); } if(res == 0) Tmin = Tmax; else Tmin = res; cout << Tmin << " " << Tmax << endl; return 0; } int par[MAX_N]; int ranks[MAX_N]; //n要素で初期化 void init(int n){ REP(i,n){ par[i] = i; ranks[i] = 0; } } //木の根を求める int find(int x){ if(par[x] == x){ return x; }else{ return par[x] = find(par[x]); } } void unite(int x,int y){ x = find(x); y = find(y); if(x == y) return ; if(ranks[x] < ranks[y]){ par[x] = y; }else{ par[y] = x; if(ranks[x] == ranks[y]) ranks[x]++; } } bool same(int x, int y){ return find(x) == find(y); } ll bpow(ll a, ll n,ll mod){ int i = 0; ll res=1; while(n){ if(n & 1) res = (res*a) % mod; a = (a*a) % mod; n >>= 1; } return res; } const int MOD = 1000000007; mat mul(mat &A, mat &B){ mat C(A.size(),vec(B[0].size())); REP(i,A.size())REP(k,B.size())REP(j,B[0].size()){ C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % MOD; } return C; } mat pow(mat A,ll n) { mat B(A.size(),vec(A.size())); REP(i,A.size()){ B[i][i] = 1; } while(n > 0){ if ( n & 1) B = mul(B,A); A = mul(A,A); n >>= 1; } return B; }