#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 using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #pragma GCC optimize("O3,unroll-loops") constexpr lint UB = 4444LL * 4444 * 4444 * 4444; constexpr int md = 333; array results; void run() { lint ret = 0; for (lint x = 1; x * x * x * x <= UB / 3; ++x) { const lint x4 = x * x * x * x; const int x3 = x * x * x % md; for (lint y = x; x4 + y * y * y * y * 2 <= UB; ++y) { const lint y4 = y * y * y * y; const int y3 = y * y * y % md; const int zub = sqrt(sqrt(UB - x4 - y4)); for (lint z = y; x4 + y4 + z * z * z * z <= UB; ++z) { const int ans = (x3 + y3 + z * z * z) % md; if (x < y and y < z) { results.at(ans) += 6; } else if (x == y and y == z) { results.at(ans) += 1; } else { results.at(ans) += 3; } } } } dbg(results); } int main() { // results.fill(0); // run(); results = {353412483,499853409,198066141,65944976,0,0,83359314,197704749,499956396,461596998,499924557,250031589,66025737,0,0,65922195,197880351,395804754,461671050,395752629,197825844,65951319,0,0,65936360,197777304,499639056,583029498,395715012,249552855,66073349,0,0,66026043,197876565,395514645,582863367,303214194,249900573,66080034,0,0,65941840,249952551,395548158,583092006,395796816,250096923,83408904,0,0,83352606,197785611,395734917,461688090,395834907,197910177,65958885,0,0,83129445,197879421,395601315,583179990,499975596,197894460,83217288,0,0,65851552,197977152,395723337,461598072,499492386,151682058,83391159,0,0,65982393,197810568,499698792,461615477,499465320,197929308,83479962,0,0,66034772,249868407,395609340,461586120,395850384,197943681,65989561,0,0,66018201,249605913,395763186,461545017,500244135,250121904,65992770,0,0,83439696,197582427,395906010,461534357,395972283,249747105,50667829,0,0,65970890,197840178,395783145,582714366,395839320,249607272,66034569,0,0,65970813,197862537,499837770,461586033,395704725,197937468,66025153,0,0,65971953,197855130,499324197,461779937,395694588,250272546,83394459,0,0,65931391,250137234,395347209,461799958,395664129,198104688,83187177,0,0,65844093,197915487,395640954,461877100,499267476,197996145,83116794,0,0,83077128,197816517,395716419,583089981,395680647,197847309,66034770,0,0,65927544,197856531,395729877,582755274,395784210,197870754,83518725,0,0,83482623,197741811,500063223,461407793,395845749,197818044,66124482,0,0,83419152,197585898,395806743,461487779,396117981,249519294,66035306,0,0,83193621,249380424,395683833,461503212,500027589,197855943,65988450,0,0,65930507,197764092,395690775,461566449,499518105,197901777,65986020,0,0,65933772,250096410,395624835,583102701,395703927,197915679,65987298,0,0,50523021,249970845,395405595,461756184,395565168,198146163,83144547,0,0,65983467,249543381,499087524,461617473,395695518,250057275,65957211,0,0,65974043,197782437,395546595,461593956,395765376,249800436,65946828,0,0,83100603,197759865,499933236,461658190,499637970,197937693,65994989,0,0,83165199,151389405,499921449,461545845,395752965,197762508,66111248,0,0,83355123,197818980,499370913,582628467,395794911,197844207,83457036,0,0,66017907,197835168,395622237,461486226,395661093,197892921,83237010,0,0,83211351,249550986,395580453,582788094,395923029,249712644,66025575,0,0,65897514,249726033,302922846,583014219,395884293,197863206,65933645,0,0,65893369,250099782,395686374,582793884,499733808,197928006,66021523,0,0,66010887,197890128,395726169,461611814,395609376,197826183,66037128,0,0,65941779,249662991,499401411,461547663,499391031,198039087,83234613,0,0,66018343,197644773,499469412}; int A; cin >> A; cout << results.at(A % md) << endl; }