#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); ll n; in(n); vector> ans; for(ll x = 0; 3*x*x <= n; x++){ for(ll y = x; (x+y)*(x+y) <= n+x*x; y++){ if (x == 0 and y == 0) continue; if( (n+x*x) % (x+y) == 0 ) { ll z = (n+x*x) / (x+y) - x; if(x == y and y == z){ ans.pb({x,y,z}); } else if(x == y){ ans.pb({x,y,z}); ans.pb({x,z,y}); ans.pb({z,x,y}); } else if(z == y){ ans.pb({x,y,z}); ans.pb({z,x,y}); ans.pb({z,y,x}); } else{ ans.pb({x,y,z}); ans.pb({x,z,y}); ans.pb({y,x,z}); ans.pb({y,z,x}); ans.pb({z,x,y}); ans.pb({z,y,x}); } } } } out(ans.size()); for(auto [x,y,z] : ans){ out(x,y,z); } }