#include #include #include #include #include #include #include #include #include // require sort next_permutation count __gcd reverse etc. #include // require abs exit atof atoi #include // require scanf printf #include #include // require accumulate #include // require fabs #include #include #include #include // require setw #include // require stringstream #include // require memset #include // require tolower, toupper #include // require freopen #include // require srand #define rep(i,n) for(int i=0;i<(n);i++) #define ALL(A) A.begin(), A.end() using namespace std; typedef long long ll; typedef pair P; const int MOD = (int)1e6 + 3; int main() { ios_base::sync_with_stdio(0); ll L; cin >> L; int res = 0; for (ll n = 1LL;n < L/4LL; n++ ){ ll s = (ll)sqrt(16LL*n*n + 8LL*L ); ll m8 = s - 4LL*n; if (m8 <= 0LL ) continue; for (ll m = m8/8LL; m >= n; m-- ){ ll g1 = __gcd (m*m+n*n, 2LL*m*n ); ll g2 = __gcd (2LL*m*n, m*m - n*n ); if (g1 != 1LL && g2 != 1LL && g1 == g2 ) continue; if (__gcd (m, n ) != 1LL ) continue; // cerr << "m: " << m << " n: " << n << endl; // cerr << m*m + n*n << ':' << 2*m*n << ':' << m*m - n*n << endl; res = (res + 1 ) % MOD; } // end for } // end for cout << res << endl; return 0; }