#pragma GCC optimize("O2") #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 #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include //#define int ll #define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1) #define INT128_MIN (-INT128_MAX - 1) #ifdef DEBUG #define dbg(x) cout << (#x) << " = " << x << '\n' #else #define dbg(x) #endif namespace R = std::ranges; namespace V = std::views; using namespace std; using ll = long long; using ull = unsigned long long; using ldb = long double; //#define double ldb template ostream& operator<<(ostream& os, const array &arr) { for(const T &X : arr) os << X << ' '; return os; } template ostream& operator<<(ostream& os, const vector &vec) { for(const T &X : vec) os << X << ' '; return os; } template ostream& operator<<(ostream& os, const set &s) { for(const T &x : s) os << x << ' '; return os; } /** * template name: hashTable * reference: https://codeforces.com/blog/entry/62393 * last update: 2022/12/03 * header: bit/extc++.h (or ext/pb_ds/assoc_container.hpp for CF) */ struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator()(uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } }; using namespace __gnu_pbds; gp_hash_table tmp({}, {}, {}, {}, {1 << 22}); int x; ll ans; const int C = 300; void dfs(int i, int pre, int sum) { if (i == -1) { if (tmp.find(x - sum) != tmp.end()) ans += tmp[x - sum]; } else { for(int j = 0; j <= pre; j++) dfs(i - 1, j, sum + j * j * j); } } void dfs2(int i, int pre, int sum) { if (i == 6) { tmp[sum] += 1; } else { for(int j = pre; j <= C; j++) dfs2(i + 1, j, sum + j * j * j); } } signed main() { ios::sync_with_stdio(false), cin.tie(NULL); cin >> x; for(int c = C; c >= 0; c--) { dfs2(4, c, c * c * c); dfs(1, c, c * c * c); } cout << ans << '\n'; return 0; }