/* #pragma GCC target("avx") #pragma GCC optimize("O2") #pragma GCC optimize("inline") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("no-stack-protector") */ #include using namespace std; #define ll long long #define fi first #define se second #define fo(i, a, b) for(ll i=a; i<=b; i++) #define fod(i, a, b) for(ll i=a; i>=b; i--) #define lop(x, s) for(auto x : s) #define sz(s) s.size() #define all(s) s.begin(), s.end() #define pll pair #define pb push_back #define mp make_pair const ll maxn=1e6+5; ll n, a[maxn], s[maxn], ans=0; map , ll> d; void sang(){ fo(i, 2, maxn-1){ if(s[i]==0){ for(ll j=i; j solve(ll x){ vector res; while(x>1){ ll p=s[x], c=0; while(x%p==0){ x/=p; c=c^1; } if(c) res.push_back(mp(p, 1)); } return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; fo(i, 1, n) a[i]=i; sang(); fo(i, 1, n){ d[solve(a[i])]++; } lop(x, d){ ans+=x.se*(x.se-1)/2; } cout << ans*2+n; return 0; }