#include "bits/stdc++.h" #include #include #include #include #include #include "atcoder/all" #include //#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) #define TCASE ll t; cin >> t; REP(i, t) 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); using vd = vector; using pl = pair; 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 ll 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 ll 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>; using vm = vector; using vvm = vector; 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; } }; template<> void ov(const vm& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << it->val(); } }; const ll llhuge = 1LL << 60; //十分でかいが多少足しても溢れない数値 auto gmax(const auto& a, const auto& b) { return a > b ? a : b; }; auto gmin(const auto& a, const auto& b) { return a < b ? a : b; }; template bool chmin(T& a, const U& b) { const T olda = a; a = gmin(a, b); return olda != a; } template bool chmax(T& a, const U& b) { const T olda = a; a = gmax(a, b); return olda != 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)); }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); vvl t(1000); REPI(i, 1, 100) { if (i * i >= t.size()) break; t[i * i].push_back(i); } REP(x, 5) { vvl t2 = t; REP(i, t.size()) { if (t[i].empty()) continue; REPI(j, 1, 100) { if (i + j * j >= t.size()) break; if (!t[i + j * j].empty()) continue; t2[i + j * j] = t[i]; t2[i + j * j].push_back(j); } } t = move(t2); } ll s; cin >> s; vl ans; while (s >= t.size()) { ll xx = ll(sqrt(s)); ans.push_back(xx * xx); s -= xx * xx; } REPE(e, t[s]) ans.push_back(e * e); cout << ans.size() << endl; ov(ans); }