//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,avx512f") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef DEBUG #include "./CompetitiveProgrammingCpp/Utils/debug.hpp" #include "./CompetitiveProgrammingCpp/Utils/Timer.hpp" #include "./CompetitiveProgrammingCpp/Utils/sample.hpp" #else #define dump(...) templateconstexpr inline auto d_val(T a, T b) { return a; } #endif /* macro */ #define FOR(i, b, e) for(ll i = (ll)(b); i < (ll)(e); ++i) #define RFOR(i, b, e) for(ll i = (ll)((e)-1); i >= (ll)(b); --i) #define REP(i, n) FOR(i, 0, (n)) #define RREP(i, n) RFOR(i, 0, (n)) #define REPC(x,c) for(const auto& x:(c)) #define REPI2(it,b,e) for(auto it = (b); it != (e); ++it) #define REPI(it,c) REPI2(it, (c).begin(), (c).end()) #define RREPI(it,c) REPI2(it, (c).rbegin(), (c).rend()) #define REPI_ERACE2(it, b, e) for(auto it = (b); it != (e);) #define REPI_ERACE(it, c) REPI_ERACE2(it, (c).begin(), (c).end()) #define ALL(x) (x).begin(),(x).end() /* macro func */ template inline auto sort(T& t) { std::sort(ALL(t)); } template inline auto rsort(T& t) { std::sort((t).rbegin(), (t).rend()); } template inline auto chmax(T& t, const S& s) { if(s > t) { t = s; return true; } return false; } template inline auto chmin(T& t, const S& s) { if(s < t) { t = s; return true; } return false; } inline auto BR() { std::cout << "\n"; } /* type define */ using ll = long long; template using V = std::vector; using VS = V; using VL = V; using VVL = V; template using P = std::pair; using PAIR = P; /* using std */ using std::cout; using std::cin; using std::cerr; constexpr char endl = '\n'; /* Initial processing */ struct Preprocessing { Preprocessing() { std::cin.tie(0); std::ios::sync_with_stdio(0); }; }_Preprocessing; /* define hash */ constexpr unsigned int static_random() { return 1u * __TIME__[0] * __TIME__[1] * __TIME__[3] * __TIME__[4] * __TIME__[6] * __TIME__[7]; } template struct Hash { auto operator()(T x) const { return std::hash()(x) ^ static_random(); } }; template<> struct Hash> { auto operator()(const std::pair& x) const { return Hash()(x.first << 31 | x.second); } }; /* input */ template std::istream& operator >> (std::istream& is, std::vector& vec) { for(T& x : vec) is >> x; return is; } /* constant value */ // constexpr ll MOD = 1000000007; constexpr ll MOD = 998244353; //============================================================================================= auto solve_c(ll n, ll m, ll l, ll r) { ll ans = 0; REP(x, m + 1) FOR(t, -m, m + 1) { auto xt = x + (n - 1) * t; ans += (l <= xt && xt <= r); } return ans; } auto solve(ll n, ll m, ll l, ll r) { constexpr ll d2 = (MOD + 1) >> 1; auto solve_up = [&n](ll r) { ll tmax = r / (n - 1); tmax %= MOD; r %= MOD; ll p = tmax * (r + 1) % MOD; ll m = tmax * (tmax + 1) % MOD * d2 % MOD * ((n - 1) % MOD) % MOD; return (p - m + MOD) % MOD; }; auto solve_down = [&n, &m](ll l) { ll tmax = (m - l) / (n - 1); tmax %= MOD; l %= MOD; ll p = tmax * ((m - l + 1 + MOD) % MOD) % MOD; ll m = tmax * (tmax + 1) % MOD * d2 % MOD * ((n - 1) % MOD) % MOD; return (p - m + MOD) % MOD; }; auto up = solve_up(r) - ((l > 0) ? solve_up(l - 1) : 0); auto down = solve_down(l) - ((r < m) ? solve_down(r + 1) : 0); auto eq = (r - l + 1) % MOD; ll ans = (up + down + eq + 3 * MOD) % MOD; // dump(up, down, eq); return ans; } signed main() { #ifndef TEST ll t; cin >> t; REP(_, t) { ll n, m, l, r; cin >> n >> m >> l >> r; cout << solve(n, m, l, r) << endl; } #else auto gen = Sample::SampleGenerator(); auto g = [&]() { constexpr ll size = 100; constexpr ll max = 100; auto [n, m] = gen.generate(PAIR{2,size}, PAIR{0,max}); auto [l, r] = gen.generate(PAIR{0,m}, PAIR{0,m}); if(l > r) { std::swap(l, r); } return std::make_tuple(n, m, l, r); }; auto out = [](ll n, ll m, ll l, ll r) { cout << 1 << endl; cout << n << " " << m << " " << l << " " << r << endl; cout << solve(n, m, l, r) << endl; cout << solve_c(n, m, l, r) << endl; }; auto runner = Sample::RandomCaseDebugger(); runner.compare(10000, g, out, solve, solve_c); #endif }