#include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) for (int i=0;i<(n);i++) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #define INF 1<<30 #define MP make_pair #define mp make_pair #define pb push_back #define PB push_back #define DEBUG(x) cout<<#x<<": "< b) { int t = a; a = b; b = a; } while(a != 0) { c = a; a = b%a; b = c; } return b; } int main(){ cin.tie(0); ios::sync_with_stdio(false); cout.precision(16); int THISMOD = 1000003; int L; cin >> L; int res = 0; FOR(i, 1, (int)(sqrt(L/4)) + 1) { FOR(j, i+1, (int)(sqrt(L/4)) + 1) { int a = j*j - i*i; int b = 2*i*j; int c = j*j + i*i; if(a * a + b * b != c * c) continue; if( a + b + c <= L/4 ) { // cout << "A: " << a << " B: " << b << " C: " << c << endl; if(gcd(gcd(a, b), c) == 1) res++; } } } cout << res % THISMOD << endl; return 0; }