#line 2 "library/template/template.hpp" #include using namespace std; #line 2 "library/template/macro.hpp" #define rep(i, a, b) for (int i = (a); i < (int)(b); i++) #define rrep(i, a, b) for (int i = (int)(b) - 1; i >= (a); i--) #define ALL(v) (v).begin(), (v).end() #define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()) #define SZ(v) (int)v.size() #define MIN(v) *min_element(ALL(v)) #define MAX(v) *max_element(ALL(v)) #define LB(v, x) int(lower_bound(ALL(v), (x)) - (v).begin()) #define UB(v, x) int(upper_bound(ALL(v), (x)) - (v).begin()) #define YN(b) cout << ((b) ? "YES" : "NO") << "\n"; #define Yn(b) cout << ((b) ? "Yes" : "No") << "\n"; #define yn(b) cout << ((b) ? "yes" : "no") << "\n"; #line 6 "library/template/template.hpp" #line 2 "library/template/util.hpp" using uint = unsigned int; using ll = long long int; using ull = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template S SUM(const vector& a) { return accumulate(ALL(a), S(0)); } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template int popcnt(T x) { return __builtin_popcountll(x); } template int topbit(T x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } template int lowbit(T x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } #line 8 "library/template/template.hpp" #line 2 "library/template/inout.hpp" struct Fast { Fast() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(15); } } fast; template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } template ostream& operator<<(ostream& os, const pair& p) { return os << p.first << " " << p.second; } template istream& operator>>(istream& is, vector& a) { for (auto& v : a) is >> v; return is; } template ostream& operator<<(ostream& os, const vector& a) { for (auto it = a.begin(); it != a.end();) { os << *it; if (++it != a.end()) os << " "; } return os; } template ostream& operator<<(ostream& os, const set& st) { os << "{"; for (auto it = st.begin(); it != st.end();) { os << *it; if (++it != st.end()) os << ","; } os << "}"; return os; } template ostream& operator<<(ostream& os, const map& mp) { os << "{"; for (auto it = mp.begin(); it != mp.end();) { os << it->first << ":" << it->second; if (++it != mp.end()) os << ","; } os << "}"; return os; } void in() {} template void in(T& t, U&... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T& t, const U&... u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } #line 10 "library/template/template.hpp" #line 2 "library/template/debug.hpp" #ifdef LOCAL #define debug 1 #define show(...) _show(0, #__VA_ARGS__, __VA_ARGS__) #else #define debug 0 #define show(...) true #endif template void _show(int i, T name) { cerr << '\n'; } template void _show(int i, const T1& a, const T2& b, const T3&... c) { for (; a[i] != ',' && a[i] != '\0'; i++) cerr << a[i]; cerr << ":" << b << " "; _show(i + 1, a, c...); } #line 2 "main.cpp" #line 2 "library/math/floor-monoid-product.hpp" template T FloorMonoidProduct(U n, U m, U a, U b, T x, T y, function pow = nullptr) { if (!pow) { pow = [](T t, U n) { T p = e(); while (n) { if (n & 1) p = op(p, t); t = op(t, t); n >>= 1; } return p; }; } assert(m != 0); T pl = e(), pr = e(); while (true) { if (a >= m) { U q = a / m; x = op(x, pow(y, q)); a -= m * q; } if (b >= m) { U q = b / m; pl = op(pl, pow(y, q)); b -= m * q; } U c = a * n + b; if (c < m) { pl = op(pl, pow(x, n)); break; } pr = op(op(y, pow(x, c % m / a)), pr); n = c / m - 1; b = m + a - b - 1; swap(a, m); swap(x, y); } return op(pl, pr); } /** * @brief モノイド版 Floor Sum * @docs docs/math/floor-monoid-product.md */ #line 4 "main.cpp" // x=(a,0),y=(b,-INF) static const ll INF = 1ll << 62; struct S { ll sum, ans; }; S op(S x, S y) { return S{x.sum + y.sum, max(x.ans, x.sum + y.ans)}; } S e() { return S{0, -INF}; } void solve() { ll n, m, a, b, c, d; in(n, m, a, b, c, d); auto p = FloorMonoidProduct(n, m, c, d, S{a, 0}, S{b, -INF}); out(p.ans); } int main() { int t = 1; in(t); while (t--) solve(); }