#include // https://codeforces.com/blog/entry/96344 #pragma GCC optimize("O2,unroll-loops") #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") using namespace std; template void dbg(std::string const &str, Args &&...args) { std::cout << std::vformat(str, // make_format_args binds arguments to const std::make_format_args(args...)); } template void dbg(T const &t) { std::cout << t; } template void dbgln(T const &t) { if constexpr (std::is_convertible_v) { std::cout << t << '\n'; } else { for (auto const &e : t) { std::cout << e << ' '; } std::cout << '\n'; } } template void dbgln(std::string const &str, Args &&...args) { dbg(str, std::forward(args)...); cout << '\n'; } template void dbgln(T const &t) { dbg("{}\n", t); } void println() { std::cout << '\n'; } template constexpr auto MIN = std::numeric_limits::min(); template constexpr auto MAX = std::numeric_limits::min(); #define ff first #define ss second #define eb emplace_back #define ll long long #define ld long double #define vec vector #define all(x) (x).begin(), (x).end() #define rall(x) (r).rbegin(), (x).rend() #define sz(x) static_cast((x).size()) #define FOR(a, b, c) for (int a = b; a < c; ++a) std::random_device rd; std::mt19937 gen(rd()); void YES() { cout << "YES\n"; } void NO() { cout << "NO\n"; } void solve() { ll k, l1, r1, l2, r2; cin >> k >> l1 >> r1 >> l2 >> r2; /* y = k ^ n * x x in [l1, r1]; y in [l2, r2] y/x=k^n -> n bounded by r2/l1=k^n<-> n=log_k(r2/l1) knowing n, let A=k^n y=Ax left bound = max{l1, ceil(l2/A)} right bound = min{r1, floor r2/A} ans += right - left */ ll max_n = ceill(log((ld)r2 / l1) / log(k)); ll A = 1; ll ans = 0; FOR(_, 0, max_n + 1) { ll left = max(l1, (ll)ceill((ld)l2 / A)); ll right = min(r1, (ll)floorl((ld)r2 / A)); if (left <= right) ans += right - left + 1; A *= k; } cout << ans << '\n'; } int main() { cin.tie(nullptr)->sync_with_stdio(false); int t = 1; cin >> t; while (t--) { solve(); } return 0; }