#include #include // url #define rep(i,a,b) for(int i=a;i=a;i--) #define all(x) (x).begin(),(x).end() #define pb(x) push_back(x); templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b; const ll mod=998244353; // using mint = static_modint<1000000007>; //const ll mod=1e9+7; int dx[4]={1,0,-1,0}; int dy[4]={0,1,0,-1}; const string zton="0123456789"; const string atoz="abcdefghijklmnopqrstuvwxyz"; const string ATOZ="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const ll inf=(1ll<<60); // const int inf=(1<<30); lld dist(lld x1,lld x2,lld y1,lld y2){ lld res=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2); res=sqrt(abs(res)); return res; } lld arg(lld x,lld y){ const lld eps=1e-8; lld res=0; if(abs(x)+abs(y)<=eps)return 0.0; else if(abs(x)<=eps){ if(y>=0.0)return (M_PI/2); else return (M_PI/2+M_PI); } else if(abs(y)<=eps){ if(x>=0.0)return 0.0; else return M_PI; } res=atan2(abs(y),abs(x)); if(x<=0&&y>=0)res=(M_PI-res); else if(x<=0&&y<=0)res+=(M_PI); else if(x>=0&&y<=0)res=(M_PI*2-res); return res; } ll gcd(ll a,ll b){ if(a==0||b==0)return a+b; ll r; r=a%b; if(r==0){ return b; } else{ return gcd(b,r); } } std::ostream &operator<<(std::ostream &dest, __int128_t value) { std::ostream::sentry s(dest); if (s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char *d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while (tmp != 0); if (value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } __int128 parse128(string &s) { __int128 ret = 0; for (int i = 0; i < s.length(); i++){ if ('0' <= s[i] && s[i] <= '9'){ ret = 10 * ret + s[i] - '0'; } } return ret; } using l3 = __int128; bool comp_arg(pair a,pair b){ if(a.second>=0&&b.second<0)return true; else if(a.second<0&&b.second>=0)return false; if(a.second>=0&&b.second>=0){ if(a.first>=0&&b.first<0)return true; } else{ if(a.first>=0&&b.first<0)return false; } ll det=a.first*b.second-a.second*b.first; if(det>0)return true; return false; } typedef pair P; int main(void){ ios::sync_with_stdio(false); cin.tie(nullptr); ll X;cin >> X; ll A[301]; rep(i,0,301){ A[i]=1; rep(j,0,3){ A[i]*=i; } } vector v; rep(d,0,301){ rep(e,d,301){ rep(f,e,301){ ll tmp=A[d]+A[e]+A[f]; v.pb(tmp); } } } sort(all(v));v.erase(unique(all(v)),v.end()); int n=v.size(); ll s[n];fill(s,s+n,-1); rep(i,0,n){ ll tmp=X-v[i]; if(tmp<0)break; ll x=lower_bound(all(v),tmp)-v.begin(); if(v[x]==tmp){ s[i]=x; } } ll cnt[n];fill(cnt,cnt+n,0); vector G[301]; rep(d,0,301){ rep(e,d,301){ rep(f,e,301){ ll tmp=A[d]+A[e]+A[f]; ll x=lower_bound(all(v),tmp)-v.begin(); if(v[x]==tmp){ cnt[x]++; G[d].pb(x); } } } } ll ans=0; rep(c,0,301){ rep(b,0,c+1){ rep(a,0,b+1){ ll tmp=X-A[a]-A[b]-A[c]; if(tmp<0)break; ll x=lower_bound(all(v),tmp)-v.begin(); if(v[x]==tmp){ ans+=cnt[x]; } } } // for(auto x:cnt1[c]){ // ll tmp=x.first; // ll num=x.second; // if(cnt.count(tmp)){ // cnt[tmp]-=num; // } // } // rep(b,c+1,301)rep(a,b+1,301){ // ll tmp=A[a]+A[b]+A[c]; // ll x=lower_bound(all(v),tmp)-v.begin(); // if(v[x]==tmp){ // cnt[x]--; // } // } for(auto x:G[c]){ cnt[x]--; } } cout << ans << endl; }