#pragma GCC optimize("O3") #pragma GCC optimize(2) #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-fipa-sra") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fdevirtualize") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("inline-functions") #pragma GCC optimize("-ftree-tail-merge") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fpartial-inlining") #pragma GCC optimize("no-stack-protector") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-fhoist-adjacent-loads") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("inline-small-functions") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("inline-functions-called-once") #pragma GCC optimize("-fdelete-null-pointer-checks") #pragma GCC optimize("Ofast") #include using namespace std; int psum[333][4445]; long long int pow4[4445]; int pow3[4445]; int main(void) { cin.tie(0); ios::sync_with_stdio(false); long long int A; cin >> A; for(int i=1;i<=4444;i++) { long long int val = i; val*=i; val*=i; long long int val2 = val; val2*=i; val%=333; pow3[i] = val; pow4[i] = val2; psum[val][i] += 1; } for(int i=0;i<333;i++) { for(int j=2;j<=4444;j++) { psum[i][j] += psum[i][j-1]; } } long long int res = 0; long long int threshold = pow4[4444]; for(int x=1;x<=4444;x++) { for(int y=x;y<=4444;y++) { long long int val = pow4[x] + pow4[y]; if(val > threshold) break; long long int temp = threshold - val; int z = sqrt(sqrt(temp)); long long int val2 = pow3[x] + pow3[y]; val2%=333; val2 = A + 333 - val2; val2%=333; res += psum[val2][z]; if(x!=y) res += psum[val2][z]; } } cout << res << '\n'; return 0; }