#include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using T = tuple; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n; cin >> n; vector> ans; auto add = [&](int x, int y, int z){ assert(x <= y && y <= z); vector v = {x, y, z}; do{ ans.push_back(v); }while(next_permutation(v.begin(), v.end())); }; for(int x = 0; x*x <= n; x++){ for(int y = x; y*y <= n; y++){ if(x == 0 && y == 0) continue; int rem = n-(x*y); if(rem < 0) continue; if(rem%(x+y) != 0) continue; int z = rem/(x+y); if(z >= y) add(x, y, z); } } cout << ans.size() << endl; for(auto v: ans) print_vector(v); }