#include #include #include #include #define FORR(i,b,e) for(int i=(b);i<(int)(e);++i) #define FOR(i,e) FORR(i,0,e) #define sortuniq(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(),v.end()),v.end()) #define dump(var) cerr << #var ": " << var << "\n" #define dumpc(con) for(auto& e: con) cerr << e << " "; cerr<<"\n" typedef long long ll; typedef unsigned long long ull; const double EPS = 1e-6; const int d4[] = {0, -1, 0, 1, 0}; using namespace std; int gcd(int m, int n) { int t; while (m != 0) { t = m; m = n % m; n = t; } return n; } int main() { cin.tie(0); ios::sync_with_stdio(false); int L; cin >> L; L /= 4; int l = (int)sqrt(L) + 1; int p = 0; for (int m = 1; m < l; ++m) { for (int n = 1 + (m&1); n < m; n += 2) { if (gcd(m, n) == 1) { int a = 2*m*n, b = m*m-n*n, c = m*m+n*n; if (a + b + c > L) goto OUTERLOOP; // cout << '(' << a << ',' << b << ',' << c << ')'; p++; } } OUTERLOOP:; } cout << p % 1000003 << endl; return 0; }