#line 1 "combined.cpp" #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma region Macros #include using namespace std; 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; } #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct Setup { Setup() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __Setup; using ll = long long; #define OVERLOAD3(_1, _2, _3, name, ...) name #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define REP1(i, n) for(int i = 0; i < int(n); i++) #define REP2(i, a, b) for(int i = (a); i < int(b); i++) #define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__) #define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()) #define REVERSE(v) reverse(ALL(v)) #define SZ(v) ((int)(v).size()) const int INF = 1 << 30; const ll LLINF = 1LL << 60; constexpr int MOD = 1000000007; constexpr int MOD2 = 998244353; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; void Case(int i) { cout << "Case #" << i << ": "; } int popcount(int x) { return __builtin_popcount(x); } ll popcount(ll x) { return __builtin_popcountll(x); } #pragma endregion Macros #line 2 "/Users/siro53/kyo-pro/compro_library/misc/compress.hpp" #line 5 "/Users/siro53/kyo-pro/compro_library/misc/compress.hpp" template class Compress { public: Compress() = default; explicit Compress(const std::vector &v) : dat(v) { build(); } void push_back(T val) { dat.push_back(val); } void build() { std::sort(dat.begin(), dat.end()); dat.erase(std::unique(dat.begin(), dat.end()), dat.end()); } int get(T val) const { int pos = std::lower_bound(dat.begin(), dat.end(), val) - dat.begin(); return pos; } T operator[](int i) const { return dat[i]; } size_t size() const { return dat.size(); } private: std::vector dat; }; #line 78 "combined.cpp" void solve() { int X, ans = 0; cin >> X; vector> ev; Compress comp; REP(a, 300 + 1) { REP(b, a, 300 + 1) { REP(c, b, 300 + 1) { int s = a * a * a + b * b * b + c * c * c; if(s > X) continue; ev.emplace_back(c, 0, s); ev.emplace_back(a, 1, s); comp.push_back(s); } } } sort(ALL(ev)); comp.build(); int sz = SZ(comp); vector cnt(sz, 0); for(const auto& [_, type, s] : ev) { if(type == 0) { cnt[comp.get(s)]++; } else { int pos = comp.get(X - s); if(comp[pos] == X - s) ans += cnt[pos]; } } cout << ans << endl; } int main() { int T = 1; // cin >> T; while(T--) solve(); }