#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} //Nの正の約数を列挙する vector Divisors(long long N){ vector p,q; long long i=1,K=0; while(i*i=0;i--){ p.push_back(q[i]); } return p; } void solve(); // POP'N ROLL MUSIC / TOMOO int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ ll N; cin >> N; vector> ans; { auto D = Divisors(N); for (auto x : D) if (x & 1){ ll l = N / x - x / 2, r = N / x + x / 2; if (l > 0) ans.push_back({1, l, r}); l = x / 2 - (N / x) + 1; r = x / 2 + (N / x); if (l > 0) ans.push_back({1, l, r}); } So(ans); } rep(e, 2, 40) { ll sum = 0; ll l = 1, r = 1; auto f = [&](ll a) -> ll { ll tmp = 1; rep(i, 0, e){ if (ILL / a >= tmp) tmp *= a; else{ return ILL; } } return tmp; }; while (true) { while (sum < N) { sum += f(r); r++; } if (sum == N) { ans.push_back({e, l, r - 1}); } sum -= f(l); l++; if (l == r) break; } } cout << ans.size() << "\n"; for (auto [e, a, b] : ans) cout << e << " " << a << " " << b << "\n"; }