#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 [[nodiscard]] static T MIN() { return std::numeric_limits::min(); } template [[nodiscard]] static T MAX() { return std::numeric_limits::max(); } template [[nodiscard]] static T sc(auto&& x) { return static_cast(x); } template [[nodiscard]] static T sz(auto&& x) { return static_cast(x.size()); } #define prln(...) std::println(__VA_ARGS__) #define pr(...) std::print(__VA_ARGS__) #ifdef LOCAL #define dbgln(...) std::println(__VA_ARGS__) #define dbg(...) std::print(__VA_ARGS__) #endif inline static void NO() { prln("NO"); } inline static void YES() { prln("YES"); } using ll = long long; using ld = long double; template using ve = std::vector; template using ar = std::array; template using pa = std::pair; template using tu = std::tuple; template using dq = std::deque; template using qu = std::queue; template using pq = std::priority_queue; template using st = std::stack; auto lb = [](auto... args) { return std::lower_bound(args...); }; auto ub = [](auto... args) { return std::upper_bound(args...); }; #define ff first #define ss second #define eb emplace_back #define pb push_back #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() // }}} void solve() { ll n, m, k; cin >> n >> m >> k; ll to_place = ceill(sc(k) / n); auto can = [&](ll group_size) { ll groups = to_place / group_size; ll extra = to_place - groups * group_size; if (extra) { return groups * group_size + extra + groups <= m; } return groups * group_size + groups - 1 <= m; }; ll l = 1, r = k; while (l <= r) { ll group_size = l + (r - l) / 2; if (can(group_size)) { r = group_size - 1; } else { l = group_size + 1; } } prln("{}", l); } int main() { // {{{ cin.tie(nullptr)->sync_with_stdio(false); cin.exceptions(cin.failbit); int t = 1; cin >> t; while (t--) { solve(); } return 0; } // }}}