#include "bits/stdc++.h" #include #include #pragma warning(push) #pragma warning(disable:26498 26450 26451 26812) #include "atcoder/all" #pragma warning(pop) //#include //using namespace boost::multiprecision; // std::fixed << std::setprecision(10) << using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using mint = modint998244353; using mint2 = modint1000000007; const double eps = 1e-9; #define REP(i, n) for (ll i = 0; i < ll(n); ++i) #define REPI(i, init, n) for (ll i = init; i < ll(n); ++i) #define REPD(i, init) for (ll i = init; i >=0; --i) #define REPDI(i, init, n) for (ll i = init; i >=n; --i) #define REPE(i, c) for (const auto& i : c) using vl = vector; #define VL(a, n) vector a; a.assign(n, 0); #define VLI(a, n) vector a; a.assign(n, 0); for(auto& x : a) cin >> x; #define VSI(a, n) vector a; a.assign(n, ""); for(auto& x : a) cin >> x; using vvl = vector>; #define VVLI(a, n, m, init) vector> a(n); for(auto& x : a) x.assign(m, init); struct uv { ll u; ll v; ll c; }; #define VUVI(a, n) vector a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;} #define VUVCI(a, n) vector a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;} vvl to_edge(const int n, const vector& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; } vvl to_edge_d(const int n, const vector& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; } template using pql = priority_queue; template using pqg = priority_queue, greater>; const char* YES = "Yes"; const char* NO = "No"; void yn(bool f) { std::cout << (f ? YES : NO) << endl; }; template void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } }; const ll llhuge = 1LL << 60; //十分でかいが多少足しても溢れない数値 template bool chmin(T& a, const U& b) { a = min(a, b); return b == a; } template bool chmax(T& a, const U& b) { a = max(a, b); return b == a; } template void mysort(T& v) { std::sort(begin(v), end(v)); }; template void mysort(T& v, U pr) { std::sort(begin(v), end(v), pr); }; template void myrev(T& v) { std::reverse(begin(v), end(v)); }; struct xyz { ll x; ll y; ll z; }; bool operator==(const xyz& a, const xyz& b) { return a.x == b.x && a.y == b.y && a.z == b.z; } ll count(const xyz& a) { if (a.x == a.y) { if (a.x == a.z) return 1; else return 3; } else if (a.x == a.z) return 3; else if (a.y == a.z) return 3; else return 6; } void pr(const xyz& a, vector& r) { vector t = { a.x, a.y, a.z }; vector pi = { 0, 1, 2 }; vector ret; do { xyz ad = { t[pi[0]], t[pi[1]] , t[pi[2]] }; if (find(ret.begin(), ret.end(), ad) == ret.end()) { ret.push_back(ad); } } while (next_permutation(pi.begin(), pi.end())); REPE(e, ret) r.push_back(e); } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); ll n; cin >> n; ll sqn = ll(sqrt(n) + 0.1); vector tans; REP(x, sqn + 1) { REPI(y, x, sqn + 1) { if (x == y && x == 0) continue; ll t = n - (x * y); if (t % (x + y) != 0) continue; ll z = t / (x + y); if (z < y) continue; tans.push_back({ x, y, z}); } } vector ans; REPE(e, tans) { pr(e, ans); } cout << ans.size() << endl; REPE(e, ans) { cout << e.x << " " << e.y << " " << e.z << endl; } return 0; }