#line 1 "/workspaces/compro/lib/template.hpp" #line 1 "/workspaces/compro/lib/io/vector.hpp" #include #include #ifndef IO_VECTOR #define IO_VECTOR template std::ostream &operator<<(std::ostream &out, const std::vector &v) { int size = v.size(); for (int i = 0; i < size; i++) { std::cout << v[i]; if (i != size - 1) std::cout << " "; } return out; } template std::istream &operator>>(std::istream &in, std::vector &v) { for (auto &el : v) { std::cin >> el; } return in; } #endif #line 4 "/workspaces/compro/lib/template.hpp" #include #define REP(i, n) for (int i = 0; i < n; i++) #define FOR(i, m, n) for (int i = m; i < n; i++) #define ALL(v) (v).begin(), (v).end() #define coutd(n) cout << fixed << setprecision(n) #define ll long long int #define vl vector #define vi vector #define MM << " " << using namespace std; template void say(bool val, T yes, T no) { cout << (val ? yes : no) << "\n"; } void say(bool val, string yes = "Yes", string no = "No") { say(val, yes, no); } template void chmin(T &a, T b) { if (a > b) a = b; } template void chmax(T &a, T b) { if (a < b) a = b; } // C++ 17に完全移行したら消す // 最大公約数を求める template T gcd(T n, T m) { return n ? gcd(m % n, n) : m; } // 最小公倍数を求める template T lcm(T n, T m) { int g = gcd(n, m); return n * m / g; } // 重複を消す。計算量はO(NlogN) template void unique(std::vector &v) { std::sort(v.begin(), v.end()); v.erase(std::unique(v.begin(), v.end()), v.end()); } #line 2 "main.cpp" ll solve(ll x, ll y) { ll n = x + y; ll m = max(x, y) - min(x, y); set s; for (ll i = 1; i * i <= n; i++) { if (n % i == 0) { s.insert(i - 1); s.insert(n / i - 1); } } int ans = 0; vl candidate; for (ll i = 1; i * i <= m; i++) { if (m % i == 0) { if (s.count(i + 1)) { candidate.push_back(i + 1); } if (i != m / i && s.count(m / i + 1)) { candidate.push_back(m / i + 1); } } } auto isIn = [&](ll l, ll t, ll u) -> bool { return l < t && t < u; }; for (const auto &a : candidate) { ll u = n / (a + 1), v = m / (a - 1); if (u % 2 != v % 2) continue; int b, c; if (x > y) { b = (u + v) / 2; c = (u - v) / 2; } else { b = (u - v) / 2; c = (u + v) / 2; } if (isIn(0, a, min(x, y)) && isIn(0, b, y) && isIn(0, c, x) && a * b == x - c && a * c == y - b) ans++; } return ans; } // generated by online-judge-template-generator v4.4.0 (https://github.com/kmyk/online-judge-template-generator) int main() { int S; std::cin >> S; // failed to analyze output format // TODO: edit here REP(i, S) { int x, y; cin >> x >> y; cout << solve(x, y) << endl; } return 0; }